expanded notation 13.62

Answers

Answer 1

Answer:

thirteen point six two


Related Questions

A flagpole is 50 feet high. You are standing a distance from the flag pole. The angle of elevation from where you are standing to the top of the flagpole is 23°. How far away from the flagpole are you standing? Note that the angle of elevation is the angle formed by the ground and the line of sight to the top of the flagpole.

Answers

Answer:

x = 21.2 ft

Step-by-step explanation:

x = tanФ h

h = 50

Ф = 23°

x = tan(23°) * 50

x = 21.2 ft

Let A and B be any two sets. Show that:
Show that (
AUB)', (BUA)' = 0​

Answers

Step-by-step explanation:

(AUB)' means they are all outside the set A and B so thats 0. Hope it helps

Select the best estimate of the capacity of a bath tub. A. 5 ml B. 500 ml C. 50 cl D. 500 L.

Answers

Answer:

D. 500 L

because ml cl is smaller than L

Answer:

D. 500 L

Step-by-step explanation:

Choice A (5 ml) is basically a teaspoon. A bathtub can most definitely hold much more then one teaspoon of water.

Choice B (500 ml) is about 17 ounces. Which is basically the amount of water in a normal water bottle. A bathtub can hold more then the amount of water in one water bottle.

Choice C (50 cl) is a little bit more then 2 cups of water. I believe a normal bathtub can hold about 1280 cups of water.

That rules out choices A, B, and C. By process of elimination, we can tell choice D is the answer. But let's just take a look at D.

Choice D (500 L) is about 132 gallons. This is the most plausible one, although some bathtubs don't hold as much water as that, it still is the best estimate of the capacity of a bath tub. \

Hope that helped!

PLEASE HELP ! (2/4) - 50 POINTS -

Answers

Answer:

The correct answer would be 15.5 or C.

Yesssssssssssssssssssss

Find the value of NT
A. 4
B. 14
C. 12
D. 16

Answers

Answer:

14

Step-by-step explanation:

(segment piece) x (segment piece) =   (segment piece) x (segment piece)

12*x = 8 * (x+2)

Distribute

12x = 8x+16

Subtract 8x

12x-8x = 8x+16-8x

4x = 16

Divide by 4

4x/4 = 16/4

x = 4

We want NT

NT = 8+x+2

     = 10 +x

    = 10 +4

    = 14

Which choice is equivalent to the expression below? √-12

A. 12i
B. -12i
C. -2√3
D. 2i √3
E. -2√3i

PLEASE DON’T GUESS

Answers

Answer:

D.  2i√3

Step-by-step explanation:

You have the expression √-12.  You can divide the number in the radical sign into the numbers that make up the expression.  After you do this, you will be able to take numbers out of the radical sign

√(-12)

√(-1 × 4 × 3)

√-1 = i

√4 = 2

√3 = √3

2i√3

The answer is D.

Divide. Write the quotient in lowest terms. 3 3/4 ÷ 5/7

Answers

Rewrite 3 3/4 as an improper fraction

3 3/4 = 15/4

Now you have

15/5 / 5/7

When you divide fractions, change the division to multiplication and flip the second fraction over:

15/4 x 7/5

Now multiply the top numbers together and the bottom numbers together:

( 15 x 7) / (4 x 5) = 105/20

Write as a proper fraction:

105/20 = 5 1/4

Answer: 21/4 or 5 1/4

Explanation:
3 3/4 divide by 5/7
= 15/4 x 7/5
= 105/20
= 21/4 or 5 1/4

A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is known to have a normal distribution with a mean of 5 milliliters (ml) and a standard deviation of 0.4 ml. Answer the following questions based on this information. Find the dye amount that represents the 9th percentile of the distribution.

Answers

Answer:

4.464 ml

Step-by-step explanation:

Given that:

mean (μ) = 5 mm, standard deviation (σ) = 0.4 ml

The z score is a score in statistics used to determine by how many standard deviation the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if the z score is negative then the raw score is below the mean It is given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

From the normal distribution table, the 9th percentile (0.09) corresponds to a z score of -1.34

[tex]z=\frac{x-\mu}{\sigma}\\\\-1.34=\frac{x-5}{0.4}\\\\x-5=-0.536\\\\x=5-0.536\\\\x=4.464[/tex]

The dye amount that represents the 9th percentile of the distribution is 4.464 ml

If the errors produced by a forecasting method for 3 observations are +3, +3, and −3, then what is the mean squared error?

Answers

Answer:

9

Step-by-step explanation:

The mean squared error (MSE)of a set of observations can be calculated using the formula :

(1/n)Σ(Actual values - predicted values)^2

Where n = number of observations

Steps :

Error values of each observation (difference between actual and predicted values) is squared.

Step 2:

The squared values are summed

Step 3:

The summation is the divided by the number of observations

The difference between the actual and predicted values is known as the ERROR.

(1/n)Σ(ERROR)^2

n = 3

Error = +3, +3, - 3

MSE = (1/3)Σ[(3)^2 + (3)^2 + (-3)^2]

MSE = (1/3) × [9 + 9 + 9]

MSE = (1/3) × 27

MSE = 9

In the diagram, XY bisects ZWXZ.
1
z
2
w
(5x + 3)
(7x - Y
х
mWYZ
type your answer.

Answers

In provided diagram angle WXY = angle YXZ

Angle WXY =( 7x-7)°

Angle YXZ = ( 5x +3)°

We have to find out the value of Angle WXZ

→ 7x-7 = 5x +3

→ 7x - 5x = 7+3

→ 2x = 10

→ x = 10/2

x = 5 .

Putting the value of x .

→ Angle WXY = 7(2)-7

→ 14-7 = 7°

→ Angle YXZ = 5(2)+3

→ 10+3 = 13°

Angle WXZ = 13° + 7 ° 20°

So 20° is the required answer .

Answer:

SI

Step-by-step explanation:

plz someone help me with this question

Answers

Answer:

(x+3)^2=-4(y-3)

Step-by-step explanation:

(x-h)^2 = 4p(y-k)

P is the distance between the focus and vertex

P = 1 --> used distance formula for the points of -3,2 -3,3

Vertex is -3,3 --> according to picture

(x+3)^2=-4(y-3)

P is negative since it goes downwards in the picture.

g A slot machine has three slots; each will show a cherry, a lemon, a star, or a bar when spun. The player wins if all three slots show the same three items. a. How many simple events are in the sample space

Answers

Answer:

64

Step-by-step explanation:

Let us consider E_abc to be the event that a, b and c appear on the first, second and third slot of the spin machine.

Now, we are told that each slot has 4 possibilities which are a cherry, a lemon, a star, or a bar when spun.

Thus, from mn rule in probability, the total number of simple events in the sample space is = 4³ = 64

Complete the point-slope equation of the line through (2,3)(7,4). Use exact numbers. y-4=


Please help me, I would really appreciate it!

Answers

Answer:

The answer is

[tex]y - 4 = \frac{1}{5} (x - 7)[/tex]

Step-by-step explanation:

To find the equation of a line given two points first find the slope and use the formula

[tex] y - y_{1} = m(x - x_{1})[/tex]

Where m is the slope

To find the slope we use the formula

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

The slope of the line using points

(2,3)(7,4) is

[tex]m = \frac{4 - 3}{7 - 2} = \frac{1}{5} [/tex]

Equation of the line using point (7,4) and slope 1/5 is

[tex]y - 4 = \frac{1}{5} (x - 7)[/tex]

Hope this helps you

Answer:

y-4=1/5(x-3)

Step-by-step explanation:

We plug in the x's and the y's and find the slope with:

[tex](y-y_{1} )/ x-x_{1})=m[/tex]

What is the area of polygon EFGH?

Answers

It’s c count the squares

In a zoo there are 6 orang-utans for every 3 baboons. There are 27 orang-utans and baboons altogether. How many are orang-utans?

Answers

Answer:

18

Step-by-step explanation:

Okay first we know that for every one baboon there is 2 orang-utans (6 / 3 = 2)

So, I like to play the guess and check:

Lets just use the numbers 12 orang-utans and 6 baboons. We know that those two don't equal 27, so thats not it.

Now we can have 18 orang-utans and 9 baboons. 18 + 9 = 27, which means there are 18 orang-utans.

Hope this helps, and have a good day.

6. A car dealership would like to estimate the mean mpg of its new model car with 90% confidence. The population is normally distributed; however we are taking a sample of 25 cars with a sample mean of 96.52 and a sample standard deviation of 10.70. Calculate a 90% confidence interval for the population mean using this sample data.

Answers

Answer:

92.9997<[tex]\mu[/tex]<99.5203

Step-by-step explanation:

Using the formula for calculating the confidence interval expressed as:

CI = xbar ± Z * S/√n where;

xbar is the sample mean

Z is the z-score at 90% confidence interval

S is the sample standard deviation

n is the sample size

Given parameters

xbar = 96.52

Z at 90% CI = 1.645

S = 10.70.

n = 25

Required

90% confidence interval for the population mean using the sample data.

Substituting the given parameters into the formula, we will have;

CI = 96.52 ± (1.645 * 10.70/√25)

CI = 96.52 ± (1.645 * 10.70/5)

CI = 96.52 ± (1.645 * 2.14)

CI = 96.52 ± (3.5203)

CI = (96.52-3.5203, 96.52+3.5203)

CI = (92.9997, 99.5203)

Hence a 90% confidence interval for the population mean using this sample data is 92.9997<[tex]\mu[/tex]<99.5203

Four members from a ​"55"person committee are to be selected randomly to serve as​ chairperson, vice-chairperson,​ secretary, and treasurer. The first person selected is the​ chairperson; the​ second, the​ vice-chairperson; the​ third, the​ secretary; and the​ fourth, the treasurer. How many different leadership structures are​ possible?

Answers

Answer:

8,185,320 different leadership structures

Step-by-step explanation:

Since the order at which the members of the committee are chosen matters, this is a permutation of 4 out 55 people and it is given by:

[tex]n=\frac{55!}{(55-4)!}=55*54*53*52 \\\\n=8,185,320[/tex]

8,185,320 different leadership structures are​ possible.

A hockey team is convinced that the coin used to determine the order of play is weighted. The team captain steals this special coin and flips it 14 times to evaluate the hypothesis that the coin is weighted, and it shows up heads 12 times. Test this hypothesis (use alpha=.05).

1. What is the appropriate test?

2. State the null hypothesis:

3. State the alternative hypothesis:

4. Find the critical value:

5. Calculate the obtained statistic:

6. Make a decision:

7. What does your decision mean

Answers

Answer:

Since x= 12 (0.006461) does not fall in the critical region so we accept our null hypothesis and conclude that the coin is fair.

Step-by-step explanation:

Let p be the probability of heads in a single toss of the coin. Then our null hypothesis that the coin is fair will be formulated as

H0 :p 0.5   against   Ha: p ≠ 0.5

The significance level is approximately 0.05

The test statistic to be used is number of heads x.

Critical Region: First we compute the probabilities associated with X the number of heads using the binomial distribution

Heads (x)        Probability (X=x)                        Cumulative     Decumulative

0                        1/16384 (1)             0.000061     0.000061

1                         1/16384  (14)         0.00085             0.000911

2                       1/16384 (91)           0.00555             0.006461

3                       1/16384(364)         0.02222

4                       1/16384(1001)         0.0611

5                       1/16384(2002)       0.122188

6                        1/16384(3003)      0.1833

7                         1/16384(3432)      0.2095

8                        1/16384(3003)       0.1833

9                        1/16384(2002)       0.122188

10                       1/16384(1001)        0.0611

11                       1/16384(364)        0.02222

12                      1/16384(91)            0.00555                             0.006461

13                     1/16384(14)              0.00085                           0.000911

14                       1/16384(1)            0.000061                            0.000061

We use the cumulative and decumulative column as the critical region is composed of two portions of area ( probability) one in each tail of the distribution. If  alpha = 0.05 then alpha by 2 - 0.025 ( area in each tail).

We observe that P (X≤2) =   0.006461 > 0.025

and

P ( X≥12 ) = 0.006461 > 0.025

Therefore true significance level is

∝=  P (X≤0)+P ( X≥14 ) = 0.000061+0.000061= 0.000122

Hence critical region is (X≤0) and ( X≥14)

Computation x= 12

Since x= 12 (0.006461) does not fall in the critical region so we accept our null hypothesis and conclude that the coin is fair.

Simplify 10 - [14 = (3 + 4) · 2]+3

Answers

Answer:

There is a typo near the equal sign.

There can be two different answers if we think that = sign as + or -.

First way: Making = as +

=> 10 - [14 + (3+4) x 2] +3

=> 10 - [14 + 7 x 2] + 3

=> 10 - [14 + 14] + 3

=> 10 - 28 + 3

=> 10 + 3 - 28

=> 13 - 28

=> -15

=> So, -15 is the answer if we consider "=" sign as "+" sign.

Second way: Making = as -

=> 10 - [14 - (3+4) x 2] + 3

=> 10 - [14 - 7 x 2] + 3

=> 10 - [14 - 14] + 3

=> 10 - 0 + 3

=> 10 + 3

=> 13

=> So, 13 is the answer if we consider "=" sign as "-" sign.

PLEASE ANSWER ASAP!!!!

Question refers to Table in the picture

Use a proportional reasoning statement like the one in the picture to determine how many feet are in 3 miles. Notice that the conversion fact 1 mile = 5,280 feet is written as a ratio in the picture.

A. x = 15,840 feet
B. x = 10,560 feet
C. x = 21,120 feet
D. x = 26,400 feet



any unrelated answer will be reported​

Answers

Answer:

The answer is A 15,840, because 5,280 x 3 is equivalent to A

Answer:

A. x = 15,840 feet.

Step-by-step explanation:

[tex]\frac{5280 feet}{1 mile} =\frac{x feet}{3 miles}[/tex]

[tex]\frac{5280}{1} =\frac{x}{3}[/tex]

1 * x = 5,280 * 3

x = 15,840 feet

So, your answer is A. x = 15,840 feet.

Hope this helps!

I need help with this question

Answers

Answer:

a. 2

b. x^2 + 10x + 26

c. x^2 + 2x + 2

Step-by-step explanation:

For each part, replace x with the value you are given and simplify.

f(x) = x^2 - 2x + 2

a.

f(2) = 2^2 - 2(2) + 2 = 2

b.

f(x + 6) = (x + 6)^2 - 2(x + 6) + 2

= x^2 + 12x + 36 - 2x - 12 + 2

= x^2 + 10x + 26

c.

f(-x) = (-x)^2 - 2(-x) + 2

= x^2 + 2x + 2

in the factory 25 men working 26 hour can produce 1300 radios . how manny hours must the same group of men work to produce 450 radios

Answers

Answer:

9 hours

Step-by-step explanation:

Since the group of men remains the same, number of hours is proportional to number of radios.

1300/26 = 450/h

h = 26 * 450 / 1300 = 9 hours

One way to calculate the target heart rate of a physically fit adult during exercise is given by the formula h=0.8( 220−x ), where h is the number of heartbeats per minute and x is the age of the person in years. Which formula is equivalent and gives the age of the person in terms of the number of heartbeats per minute?

Answers

Answer:

The answer is:

C. [tex]\bold{x = -1.25h+220}[/tex]

Step-by-step explanation:

Given:

[tex]h=0.8( 220-x )[/tex]

Where [tex]h[/tex] is the heartbeats per minute and

[tex]x[/tex] is the age of person

To find:

Age of person in terms of heartbeats per minute = ?

To choose form the options:

[tex]A.\ x=176-h\\B.\ x=176-0.8h\\C.\ x=-1.25h+220\\D.\ x=h-0.8220[/tex]

Solution:

First of all, let us have a look at the given equation:

[tex]h=0.8( 220-x )[/tex]

It is value of [tex]h[/tex] in terms of [tex]x[/tex].

We have to find the value of [tex]x[/tex] in terms of [tex]h[/tex].

Let us divide the equation by 0.8 on both sides:

[tex]\dfrac{h}{0.8}=\dfrac{0.8( 220-x )}{0.8}\\\Rightarrow \dfrac{1}{0.8}h=220-x\\\Rightarrow 1.25h=220-x[/tex]

Now, subtracting 220 from both sides:

[tex]\Rightarrow 1.25h-220=220-x-220\\\Rightarrow 1.25h-220=-x[/tex]

Now, multiplying with -1 on both sides:

[tex]-1.25h+220=x\\OR\\\bold{x = -1.25h+220}[/tex]

So, the answer is:

C. [tex]\bold{x = -1.25h+220}[/tex]

I NEED HELP ASAP

191 of the 288 high school students surveyed at a local school said they went outside more during school hours as elementary school students than they do now as high school students. Calculate the Margin of Error, rounded to the nearest tenth of a percent. Is it reasonable that the state education department claims the percentage for the entire state is 73%? Justify your answer.

Answers

Answer:

It is not reasonable that the state education department claims the percentage for the entire state is 73%.

Step-by-step explanation:

We are given that 191 of the 288 high school students surveyed at a local school said they went outside more during school hours as elementary school students than they do now as high school students.

Firstly, the pivotal quantity for finding the confidence interval for the population proportion is given by;

                         P.Q.  =  [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of high school students who went outside more during school hours as elementary school students than they do now as high school students =  [tex]\frac{191}{288}[/tex] = 0.66

           n = sample of high school students = 288

            p = population percentage for the entire state

Here for constructing a 90% confidence interval we have used a One-sample z-test for proportions.

The margin of error is given by;

       M.E.  =  [tex]2 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]

                =  [tex]2 \times \sqrt{\frac{0.66(1-0.66)}{288} }[/tex]

      M.E.  =  0.056 or 5.6%

So, the confidence interval so formed = [tex]\hat p \pm \text{Margin of error}[/tex]

                                                                = [[tex]0.66 - 0.056 , 0.66 + 0.056[/tex]]

                                                                = [0.604, 0.716]

Since the above interval does not include 0.73 or the population proportion of 73% falls outside the above interval. So, it is not reasonable that the state education department claims the percentage for the entire state is 73%.

which of the following greatest
6+(-2)
6-(-2)
6×(-2)
6+(-2)​

Answers

Out of
4
8
-12
4

8, or 6-(-2) is greatest

f(x) = -3x + 7
What is f (0)?

Answers

f(0) = -3(0) + 7
f(0) = 7

Answer:

f(0) = 7

Step-by-step explanation:

f(x) = -3x + 7

Let x =0

f(0) = -3*0 + 7

f(0) = 7

Figure ABCD is a square find the value of x

Answers

Answer:

x=3

Step-by-step explanation:

since its a square all sides equal each other

5x-2=x+10

4x -2 =10

4x=12

x = 3

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 7.2 to 4.5

Answers

Answer:

[tex]\frac{8}{5}[/tex]

Step-by-step explanation:

Given

7.2 : 4.5 ← multiply both parts by 10

= 72 : 45 ← divide both parts by 9

= 8 : 5

= [tex]\frac{8}{5}[/tex]

If the mean difference gets larger and sample standard deviation stays the same, what happens to effect size?

Answers

Answer:

The effect size of the sample gets larger

Step-by-step explanation:

The effect size of the sample gets larger when the mean difference gets larger and the sample standard deviation stays the same. because the Cohen's effect size is proportional to mean difference  and this can be proven below using the Cohen's formula

Cohen's effect size  = Mean difference / standard deviation

form the question standard deviation is constant while the mean difference gets larger, hence the effect size will get larger as well

Nour drove from the Dead Sea up to Amman, and her altitude changed at a constant rate. When she began driving, her altitude was 400400400 meters below sea level. When she arrived in Amman 222 hours later, her altitude was 100010001000 meters above sea level. Let yyy represent Nour's altitude (in meters) relative to sea level after xxx hours.

Answers

Answer:

y = 700x - 400

Step-by-step explanation:

A negative number represents an altitude below sea level.

Beginning: -400

y = mx + b

y = mx - 400

In 2 hours the altitude was now 1000 m.

1000 m - (400 m) = 1400 m

The altitude went up 1400 m in 2 hours. The rate of change is

1400/2 m/h = 700 m/h

The rate of change is the slope.

y = 700x - 400

Answer:

The graph answer is below :)

Step-by-step explanation:

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The bond issuance should be recorded as: Read the excerpt from "Women" and answer the question.------------------------------------------------------------------------------------------------ How they knew what we Must know Without knowing a page Of it Themselves.----------------------------------------------------------------------------------------------- What do the details in these lines suggest?(A) The women only created progress through blind luck.(B) The women were wiser than they realized.(C) The women were illiterate.(D) The women were bitter about their circumstances. How is the definition of the word theory different in science versus in everyday life? A. In everyday speech a theory is the same as a hypothesis-a statement that has (been) tested. In science a theory is a synthesis of a large body of verified information B. In everyday speech a theory is the same as a hypothesis-a statement that has ( not been) tested. In science a theory is a synthesis of a large body of verified information You suspect that a hacker has compromised a computer using one of its open ports. Which command would allow you to view the open ports on the computer A customer sells short 100 shares of ABC at $17 as the initial transaction in a new margin account. The customer must deposit:_______.A. $750. B. $1,500. C. $2,000. D. $3,000. A balloon artist creates balloon hats for children at a stores grand opening. The graph shows the number of balloons the artist has remaining, y, after creating x hats.A coordinate plane showing Balloon Hat Creations. The x-axis shows Number of Balloon Hats and the y-axis shows Balloons Remaining. The straight line starts at (0. 500) and continues down and to the right through points, (50, 250) and ends at (100, 0).What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select three options.positive slopenegative slopeconstant slopeincreasing functiondecreasing function A tank contains 1080 L of pure water. Solution that contains 0.07 kg of sugar per liter enters the tank at the rate 7 L/min, and is thoroughly mixed into it. The new solution drains out of the tank at the same rate.Required:a. How much sugar is in the tank at the begining?b. Find the amount of sugar after t minutes.c. As t becomes large, what value is y(t) approaching ? Scientific method quick check Hammurabi was known for his "tough on crime" stance- a description that many politicians in America currently hope to achieve. For this discussion, choose one law from Hammurabi's code and explain how it is similar to a law that is currently found in the law books in America (local, state or federal.) After briefly explaining the similarities between the ancient and current laws, answer these questions: What is your opinion on the efficacy of the current law? Is it appropriate to have a law similar to one from thousands of years ago? How would you replace this law? Which literary device does Sir Philip Sidney use in these lines from his sonnet sequence Astrophil and Stella? When Nature made her chief work, Stellas eyes, In colour black why wrappd she beams so bright? A. parallelism B. simile C. metaphor D. hyperbole "The Elevator" by William Sleator, what are major things that happened, and what would be different if said thing never happened in the story?