A rock is thrown at 12 m/s at an angle of 60° above horizontal. (use g = 9.81 m/s2)
a. How high does the rock rise?
b. How long is it in the air if it falls to the same elevation at which it was thrown?
c. How far from the thrower does the rock land?

Answers

Answer 1

a) The maximum height of the rock is of: 5.50 metres.

b) The time that the rock was in the air is of: 2.12 seconds.

c) The distance which the rock landed is of: 12.72 meters.

How to model the height of the projectile?

The height of the projectile is modeled using a quadratic function, as follows:

y = -4.905t² + v(0)sin(60)ºt + h(0).

The parameters are given as follows:

-4.905 is the acceleration of the gravity divided by 2.v(0) = 12 is the initial velocity.60º is the angle.h(0) = 0 is the initial height.

Considering the values of these parameters, the function is given as follows:

y = -4.905t² + 10.39t.

The coefficients are given as follows:

a = -4.905, b = 10.39, c = 0.

The maximum height is obtained as the y-coordinate of the vertex, as follows:

Hmax = -(10.39² - 4(4.905)(0))/(4(-4.905)) = 5.50.

The rock hits the ground when:

y = 0.

Hence:

-4.905t² + 10.39t = 0

t(-4.905t + 10.39) = 0.

4.905t = 10.39

t = 10.39/4.905

t = 2.12 seconds.

The horizontal distance is given as follows:

x = v(0)cos(60º)t

Hence:

x = 12 x 0.5 x 2.12 = 12.72 meters.

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Related Questions

Assume that the conclusion from an ANOVA is that the null hypothesis is rejected, in other words that the 5 population means are not all equal. We should expect that
all 10 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
at least 5 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
at least 3 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.
at least 1 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.

Answers

When Null hypothesis is rejected in ANOVA then we expect that at least 1 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.

In an ANOVA, the absence of a mean difference is always the null hypothesis.

If the test statistic from the table exceeds the F critical value with degrees of freedom in the k-1 numerator and N-k denominator, the null hypothesis will be rejected.

The means of all the groups are not equal, one deduces if the null hypothesis is rejected. Post-hoc analyses reveal to the researcher which groups differ from one another.

The goal of an ANOVA is to find out if there is a statistically significant difference between the groups if yes then at least 1 of the comparisons of means Xi versus Xj would be significant using the Scheffe test.

Option (d) is correct

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Your family ate a delicious meal at Jimmies of Savin Rock. The meal itself cost $147.25, you want to leave 20% tip and there was 7.35% tax added

Answers

Answer:

27.29 honestly this is a wild guess

Step-by-step explanation:

7.35% of 147.25 = 10.82

147.25-10.82=136.43

20% of 136.43 = 27.286(27.29)

using the empirical rule, approximate the percentage of newborn pigs that weight between 3.75 and 4 lbs.

Answers

Answer:

Answer: 0.4419

Step-by-step explanation:

Given: The birth weights of full-term newborn infants in the U.S. have an approximately normal distribution with a mean weight of 6.8 lbs and a standard deviation of 1.7.

i.e.

Let X denotes the birth weight.

Then, the proportion of newborn babies will have a birth weight between 6 lbs and 8 lbs is given by :-

Hence, the proportion of newborn babies will have a birth weight between 6 lbs and 8 lbs is 0.4419 .

Step-by-step explanation:

A manager at a local bank analyzed the relationship between monthly salary (y, in $) and length of service (x, measured in months) for 30 employees. She estimates the model:
Salary = β0 +β1 Service + ε. The following ANOVA table below shows a portion of the regression results.
df SS MS F
Regression 1 555,420 555,420 7.64
Residual 27 1,962,873 72,699 Total 28 2,518,293 Coefficients Standard Error t-stat p-value
Intercept 784.92 322.25 2.44 0.02
Service 9.19 3.20 2.87 0.01
Which of the following is the monthly salary of an employee that has worked for 48 months at the bank?
rev: 11_17_2017_QC_CS-109762
$441.
$785.
$1,050.
$1,226.

Answers

The monthly salary of an employee that has worked for 48 months at the bank is $1226.04. So the option d is correct.

The given table is:

                          Df          SS                     MS                F

Regression          1          555,420          555,420          7.64

Residual              27       1,962,873         72,699

Total                    28        2,518,293

                    Coefficients         Standard Error         t-stat        p-value

Intercept          784.92                322.25                    2.44           0.02

Service             9.19                     3.20                      2.87           0.01

We have to find the monthly salary of an employee that has worked for 48 months at the bank.

Salary = β(0)+ β(1) Service

y = β(0)+ β(1)x

where, Service = x(in months)

Service = y(in $)

From the table

y = 784.92+9.19x

If x=48 months

Then, y = 784.92+9.19(48)

y = 784.92+441.12

y = 1226.04

Hence, the monthly salary of an employee that has worked for 48 months at the bank is $1226.04. So the option d is correct.

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t^2-t-6/t^2+6+9 • t+3/t^2-4

Answers

this is the solution

Evaluate the function when x = 3, x = 0, and x = -4. (Lesson 4.8)
14. f(x) = -4x + 3
12. h(x) = − 8x
13. g(x) = 5x - 9
16. h(x) = 1.4x
15. g(x)=-3x - 12
17. f(x) = 1/4x

12-17 please

Answers

Just plug down the numbers 3,0,-4 on all the problems to get the answer. If you need help feel free to ask

Need answers for all parts.

Answers

(a) The balance be at the end of the year is $502.53.

(b) The Effective annual interest rate is 0.5%.

(c) The Effective annual interest rate must be less than 6%.

What is effective annual interest rate?

The percentage of interest on a loan or financial product that would apply if compound interest built up over a year without any payments would be called the effective interest rate, also known as the effective annual interest rate, annual equivalent rate, or simply effective rate.

Given:

P = $500,  n = 12,  r = 0.5% = 0.005, t = 1

So, the balance be at the end of year is,

[tex]A = P(1+\frac{r}{n})^n^t \\A = 500(1+\frac{0.005}{12})^1^2^*^1 \\A = 500(1.00042)^1^2\\A = 502.53[/tex]

Now to find the effective annual interest rate,

Effective annual interest rate = [tex]= (1+\frac{r}{n})^n-1 = (1+\frac{0.005}{12})^1^2 - 1= 0.005[/tex]

Effective annual interest rate = 0.5%

So, the Effective annual interest rate must be less than 6%.

Hence,

(a) The balance be at the end of the year is $502.53.

(b) The Effective annual interest rate is 0.5%.

(c) The Effective annual interest rate must be less than 6%.

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A set of data items is normally distributed with a mean of 300 and a standard deviation of 60. Why’d the data item in this distribution that corresponds to the given z-score
Z= 2.5

Answers

The data item that corresponds to the z-score of 2.5 is 450.

What is Standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.

A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance. Although less robust in practice, it is algebraically easier than the average absolute deviation. The fact that the standard deviation is expressed in the same unit as the data, as opposed to the variance, makes it a valuable statistic.

As, x = z×s + u, where z=2.5, s=60, u=300

⇒ x = 2.5×60 + 300

⇒ x = 150 + 300

⇒ x = 450

The data item that corresponds to the given z-score is 450.

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I’ve been struggling on this question please help ASAP <333

Answers

C= root 29 units


Solution

29


Can I get Brainly pls

The coordinates of C are ( 4 , 4 ) , and the midpoint of CD ¯ is at M ( - 2 , - 6 ) . What are the coordinates of point D

Answers

Answer:

D (-8, -16)

Step-by-step explanation:

(4+x)/2 = -2

4+ x = -2 · 2

4 + x = -4

x = -4 - 4

x = -8


(4 + y)/2 = -6

4 + y = -6 · 2

4 + y = -12

y = -12 - 4

y = -16

16. The points graphed below show the how completing homework can affect a student's test scores.
What is the meaning of the slope of the line in
the context of the problem?

A student's test score goes down 20 points
every time they complete 2 homework
assignments
A student's test score goes up 9 points every
time they complete 1 homework assignment
A student's test score goes down 10 points
every time they complete 1 homework
assignment
A student's test score goes 80 points every
time they complete 1 homework assignment

Answers

The meaning of slope of the line in the context of the problem is a student's test score goes up 9 points every time they complete 1 homework assignment.

What is Slope?

Slope of line is shows how much a line is inclined with respect to the X axis. In other words, it can also be defined as the change in y coordinates with respect to the change in x coordinates.

Slope of the line can be calculated if two points (x₁, y₁) and (x₂, y₂) are given as,

Slope = (y₂ - y₁) / (x₂ - x₁)

From the graph, take any two points on the line.

For instance, we take initial point (1, 20) and final point (10, 100).

Slope = (100 - 20) / (10 - 1)

          = 80/9

          ≈ 9

From the definition of slope, slope equals 9 means y values goes 9 points up with respect to one unit up in the x values.

Hence we got that a student's test score goes up 9 points every time they complete 1 homework assignment.

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Use pentagon ABCDE to answer the following. What are the coordinates of B after the pentagon is rotated 90 degrees about the origin?

Answers

The coordinates of B after the rotation of 90 degrees about the origin is (c) (-5, 1)

How to determine the coordinates of B after the rotation

The figure of the pentagon missing in the question is added at the end of this solution as an attachment

From the question, we have the following parameters that can be used in our computation:

Coordinate of point B = (1, 5)

Also, from the question, we have the transformation to be

Rotation of 90 degrees about the origin

Mathematically, the rotation of 90 degrees about the origin can be represented as

(x, y) → (-y, x)

Substitute the known values in the above equation, so, we have the following representation

Coordinate of point B after rotation = (-5, 1)

Hence, the coordinate of point B after the rotation is (c) (-5, 1)

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if the correlation coefficient r is equal to 0.726, find the coefficient of determination and the coefficient of nondetermination.

Answers

Coefficient of determination ([tex]r^{2}[/tex]) = 0.527 and Coefficient of non-determination ( [tex]1-r^{2}[/tex]) = 0.473

The coefficient of correlation is the “R” value which is given in the summary table in the Regression output. R square is also called the coefficient of determination. To find the value of R squared, multiply R by R. In other words, the square of the correlation coefficient is the coefficient of determination. The coefficient of determination is a statistical measurement that examines how differences in one variable can be explained by the difference in a second variable when predicting the outcome of a given event.

The Coefficient of Non-Determination explains the amount of unexplained, or unaccounted-for, variance between two variables, or between a set of variables (predictors) in an outcome variable.

Given,

r = 0.726

Coefficient of determination ([tex]r^{2}[/tex]) = 0.527

Coefficient of non-determination ( [tex]1-r^{2}[/tex]) = 0.473

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Select the table that represents a liner function. (Use graph if necessary)

Answers

The table that represents a linear equation is the first one, and the line is:

y = 5x + 5

Which table represents a linear function?

To check which table represents a linear function, you need to identify the increases in x, and check that al the increases/decreases in y are constant.

For example, if you look at the last table:

x = 0, 1, 2, 3

y = 1, 2, 4, 8

First x goes from 0 to 1, so 1 unit increase.

y goes from 1 to 2, 1 unit increase.

Then x goes from 1 to 2, 1 unit increase.

y goes from 2 to 4, 2 units increase.

The increase is not constant, thus it is not a linear equation.

The tables 2 and 3 can be discarded because have both increases/decreases.

Table 1 is the one that represents a linear equation:

x: 0, 1, 2, 3

y: 5, 10, 15, 20

Where the increases in y are always of 5 units, and the linear equation is:

y = 5*x + 5

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8 ft 10 ft Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate . A = [?]ft? Notice that only half of the circle is included in the figure!​

Answers

find the area of the rectangle;

w x l = 8 x 10 = 80ft^2

circle;

pi(r)^2

r = 4

pi(4)^2

pi(16) = 50.24

80 + 50.24 = 130.24

To find the slope of a curve at a given point, we simply differentiate the equation of the curve and find the first derivative of the curve, i.e., dy/dx.

Answers

To find the slope of the curve, first differentiate the equation of the curve and substitute the value of x in the result

The slope of the curve is the change in y coordinates with respect to the change in x coordinates of the line

To find the slope of the curve at a given point

First differentiate the given equation of the curve with respect to x

That is dy / dx.

The derivative of the equation of the curve  is the slope of the curve.

In next step substitute the value of x in the slope of the curve

The result will be the slope of the curve at a given point

Therefore, these are the steps to find the slope of the curve

I have answered the question in general, as the given question is incomplete

The complete question is:

How to find the slope of a curve at a given point?

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HELPP!!!!! HURRY!!!! Function g(x) = |x − 9| is a transformation of function f(x) = |x|. What effect does the value 9 have on the graph of function f? A. It translates the graph 9 units to the left. B. It translates the graph 9 units to the right. C. It vertically compresses the graph by a factor of 9. D. It vertically stretches the graph by a factor of 9.

Answers

Answer:

C

Step-by-step explanation:

Answer:

B: It translates the graph 9 units to the right.

Step-by-step explanation:

The value 9 has the effect of translating the graph of function f(x) = |x| 9 units to the right. This is because the transformation g(x) = |x - 9| is obtained from f(x) = |x| by subtracting 9 from the argument of the absolute value function. This has the effect of shifting the graph of f(x) to the right by 9 units.

Therefore, the correct answer is B: It translates the graph 9 units to the right.

Consider the drawing and information below. The drawing is NOT to scale.
1.What is m < 2 show work and calculations.
2. What is m < 4 show your work and calculations.​

Answers

Answer:

m∠2 = 110°

m∠4 = 110°

Step-by-step explanation:

Corresponding Angles Postulate

When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Transitive Property of Equality

If any angles are congruent to the same angle, then they are congruent to each other.

--------------------------------------------------------------------------------------

As line p is parallel to line q, according to the Corresponding Angles Postulate:

⇒ m∠2 = m∠10

According to the Vertical Angles Theorem:

⇒ m∠10 = m∠13

According to the Transitive Property of Equality:

⇒ m∠2 = m∠13

Therefore:

⇒ 8x + 14 = 10x - 10

⇒ 8x + 14 - 8x = 10x - 10 - 8x

⇒ 14 = 2x - 10

⇒ 14 + 10 = 2x - 10 + 10

⇒ 24 = 2x

⇒ 2x = 24

⇒ 2x ÷ 2 = 24 ÷ 2

⇒ x = 12

Substitute the found value of x into the expression for the measure of angle 2:

⇒ m∠2 = 8(12) + 14

⇒ m∠2 = 96 + 14

⇒ m∠2 = 110°

--------------------------------------------------------------------------------------

As line p is parallel to line q, according to the Corresponding Angles Postulate:

⇒ m∠12 = m∠4

⇒ 15y + 5 = 13y + 19

⇒ 15y + 5 - 13y = 13y + 19 - 13y

⇒ 2y + 5 = 19

⇒ 2y + 5 - 5 = 19 - 5

⇒ 2y = 14

⇒ 2y ÷ 2 = 14 ÷ 2

⇒ y = 7

Substitute the found value of y into the expression for the measure of angle 4:

⇒ m∠4 = 13(7) + 19

⇒ m∠4 = 91 + 19

⇒ m∠4 = 110°

If repeated samples of yogurt sales were taken, according to the Central Limit Theorem, the mean of those repeated samples would tend to be normally distributed if the sample size is large enough.
Because the sample population is ________, it is safe to apply the Central Limit Theorem, even if the sample size for each sample is 15.
a.)negatively distributed
b.)positively distributed
c.)normally distributed

Answers

Because the sample population is normally distributed, it is safe to apply the Central Limit Theorem, even if the sample size for each sample is 15.

(this means that option c is correct).

What is defined by the Central Limit Theorem?

The Central Limit Theorem defines the distribution of the sampling distribution of sample means with size n of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], with mean and standard error given as follows:

Mean: [tex]\mu[/tex]Standard error: [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

The Central Limit Theorem can be applied when at least one of these two conditions is true.

Underlying population has a normal distribution.The sample size is greater than 30.

In this problem, the sample size is of 15, which is less than 30, meaning that the Central Limit Theorem can be applied only because the underlying population is normally distributed, meaning that option c is correct.

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Hurry please

Which line has a y-intercept of 2 and an x-intercept of -3?

W.

X.

Y.

Z.

Answers

Answer:

The answer is going to be y because you can see that it hits 2 on the y-intercept and -3 on the x-intercept

Step-by-step explanation:

Here is the one that you need

given the following prices and unit conversions, rank the brands from lowest to highest unit price.brand a: $1.48 for 2.5 poundsbrand b: $1.30 for 907.18 grams; 1 pound is approximately 453.59 gramsbrand c: $1.55 for 50 ounces; 1 pound is equal to 16 ouncesa.brand a, brand b, brand cb.brand a, brand c, brand bc.brand b, brand a, brand cd.brand c, brand a, brand b

Answers

The correct order for the lowest to highest unit price is:

Brand C < Brand A < Brand B.

In this question we have been given the prices and unit conversions.

We need to rank the brands from lowest to highest unit price.

Brand A: $1.48 for 2.5 pounds

Brand B: $1.30 for 907.18 grams; 1 pound is approximately 453.59 grams

Brand C: $1.55 for 50 ounces; 1 pound is equal to 16 ounces

Given that:

1 pound = 453.59 grams

And 1 pound = 16 ounces

After conversion:

2.5 pounds = 2.5x16 ounces

                  = 40 ounces

and 907.18 grams = (907.18x16/453.59) ounces

                             = 32 ounces

Now we find the unit price for each brand by unitary method.

Brand A: $1.48 for 40 ounces

so, the unit price = 1.48/40

                          = $0.037 per ounce

Brand B: $1.30 for 32 ounces

unit price = 1.30/32

                = $0.041 per ounce

Brand C: $1.55 for 50 ounces

Unit price = 50/1.55

                = $0.031 per ounce

Therefore, The order for lowest to highest unit price:

Brand C < Brand A < Brand B

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let x represent the full height of a certain species of tree. assume that x has a normal probability distribution with mean 224.4 ft and standard deviation 44.7 ft.

Answers

The mean of the distribution of sample means x has a normal probability distribution is μ = 224.4 ft .

Given :

let x represent the full height of a certain species of tree. assume that x has a normal probability distribution with mean 224.4 ft and standard deviation 44.7 ft .

What is mean ?

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers .

we know that ,

Mean = sum / number of

so here given  μx = 224.ft which is nothing but the mean .

so  μx =  μ = 224.4 ft

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geometry midterm coming up and i need help on similar figures.

Answers

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted triangle ABC.

By Pythagoras' theorem,

(20)²+(48)²=x²

400+2304=x²

2704=x²

x=52

As we know, area of a triangle = 1/2 × b×h

                                           480= 1/2× 52 ×h

                                                  h=2×480/52

                                                  h= 18.46 = BD          

What is geometry?

Geometry with arithmetic is one of the oldest branches of mathematics. It deals with spatial properties such as distance, shape, size, and relative position of shapes. Mathematicians working in the field of geometry are called geometers.

Until the 19th century, geometry was mostly devoted to Euclidean geometry, which included the concepts of point, line, plane, distance, angle, area, and curve as basic concepts.

In the 19th century, several discoveries dramatically expanded the scope of geometry. One of the oldest discoveries of this kind is Carl Friedrich Gauss's Theorem Egregium ("Remarkable Theorem"), which loosely asserts that the Gaussian curvature of a surface is independent of any particular embedding in Euclidean space. I'm here. This meant that surfaces could be studied intrinsically, i.e., as spaces themselves, and extended to manifold theory and Riemannian geometry.

Therefore, A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted triangle ABC.

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Given the drawing as shown below and that p parallel q, which of the following cannot be supported?​

Answers

Answer: It's B

Step-by-step explanation:

It shows that Angle B is congruent to angle g but it actually isnt

Answer:

B.  ∠b ≅ ∠g

Step-by-step explanation:

Supplementary angles

Two angles whose measures sum to 180°.

Linear Pair

Two adjacent angles that sum to 180° (two angles which when combined together form a straight line).

Same-side Interior Angles Theorem

When two parallel lines are intersected by a transversal, the angles that are interior to the parallel lines and on the same side of the transversal line are supplementary (sum to 180°).

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

------------------------------------------------------------------------------------------

Statement A

∠f and ∠h are vertical angles.  Therefore, according to the Vertical Angle Theorem, ∠f ≅ ∠h.

Statement C

As ∠d and ∠h are the interior angles on the same side of the transversal [tex]\ell[/tex], according to the Same-side Interior Angles Theorem, ∠d and ∠h are supplementary.

Statement D

∠a and ∠b are a linear pair, therefore ∠a and ∠b are supplementary.

Therefore, Statement B cannot be supported by the evidence shown.

Information for Questions 5-7: The Annual Survey of Colleges in the U.S. also reports on the average amount of student loan debt by state. The most recent data by state showed an approximately normal shape with a minimum average amount of
$19,000
and a maximum average amount of
$38,000
. Use the minimum and maximum value and the normal shape to estimate the mean and standard deviation of the data for the 50 states. (Mean and standard deviation have been rounded to the nearest
$100
.) a. mean
=$25,000;
standard deviation
=$3,500
b. mean
=$26,800;
standard deviation
=$2,100
c. mean
=$26,800;
standard deviation
=$3,700
d. mean
=$28.500;
standard deviation
=$1,800
e. mean
=$28,500;
standard deviation
=$3,200
A federal study of student loan debt plans to focus on those states with the highest amounts of student loan debt. The study plans on targeting those states that fall in the top
2.5%
in terms of average student loan amounts. What is the cutoff point that would place a state in the top
2.5%
based on student loan debt? (Use the mean and standard deviation estimates from Question #5.) a.
$38,100
b.
$34,900
c.
$31,700
d.
$32,500
e.
$22,100

Answers

The correct answer is $34900.

X : Average amount of loan of student debt by state .

X = N ( μ = $28500 , σ² = ( 3200 )² )

To find : What is the cutoff point that would place a state in top 2.5%

Let it be X

P( X > x ) = 0.025

P(X-μ/σ > X - 28500/3200) = 0.025

P(z >Z ) = 0.025

1 - P(z<Z ) = 0.025

P(z<Z ) = 0.975

φ(z) = 0.975

Z = φ⁻¹(0.975)

X - 28500/3200 = 1.96

X = 34772

i.e; P(X > 34772) = 0.025

Since, it is nearly equal to $34900 option b is correct.

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Find the inverse of the equation
Y=5/x-1

Answers

The inverse of the equation is y = (5/x) + 1

How to determine the inverse of the equation?

From the question, we have the following parameters that can be used in our computation:

y = 5/(x - 1)

Start by swaping the positions of x an dy

So, we have the following representation

x = 5/(y - 1)

So, we have

x(y - 1) = 5

Divide both sides by x

y - 1 = 5/x

Add 1 to both sides

y = (5/x) + 1

Hence, the inverse is y = (5/x) + 1

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In the United States about 7% of the male population and about 0.4% of the female population is red-green color blind ( that is they cannot distinguish red from green, or see red and green differently from how others do). The population in the United States consist of about 49% males and 51% females. A person is randomly selected.
Let M be the event that the person is male, let F be the event that the person is female, let CB be the event that the person is red-green color blind, and let NC be the event that the person is not red-green color blind
A. Find P(CB \mid M)
B. Find P(CB \cap M)
C. Find P(CB)
Find P(M \mid CB)

Answers

Ans (A)   P(CB/M) is  0.07

Ans (B)   P(CB ∩ M) is 0.0343

Ans (C)   P(CB) is 0.03634

Ans (D)   P(M/CB) is 0.94386

Let the population be 100.

Therefore,

No. of males (M) = 49

No. of females (F) = 51

No. of colourblind males =

[tex]\frac{7}{100} * 49 = \frac{343}{100} = 3.43[/tex]

No. of colourblind females =

[tex]\frac{0.4}{51} * 100 = 0.204[/tex]

Total colourblind people (CB) = 3.43 + 0.204 = 3.634

Ans (A)

P(CB/M) = P(CB ∩ M)/P(M) = 3.43/49 = 0.07

Ans (B)

P (CB ∩ M) = 3.43/100 = 0.0343

Ans (C)

P(CB) = 3.634/100 = 0.03634

Ans (D)

P (M/CB) = P(M ∩ CB)/P(CB) = 3.43/3.634 = 0.94386

These are the answers.

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A recipe uses 1 1/4 cups of milk to make 10 servings. If the same amount of milk is used for each serving, how many servings can be made using 2 gallons of milk?

Answers

Answer:

what we cookin ma boi

Step-by-step explanation:

I’m confused on this question

Answers

Answer: 3 of the squares should go down then 8 to the right.

Step-by-step explanation:


it just wants you to say how it was translated so take the corresponding points like p and p’ then count of many tiles it move to the right and then down to get from p to p’ you’ll see that it’s 8 right and 3 down.


hope this helps!

check the screenshot

Answers

Answer:

a = 1

h = 4

k = -4

Step-by-step explanation:

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