Question 4
1 pts
In the inequality x +4< -14,, which answer is correct
O the solution set is x is less than 10, the circle is open; and the graph (line) moves to the right
the solution set is x is less than -18, the circle is open; and the graph (line) moves to the left
O the solution set is x is less than negative 10, the circle is open; and the graph (line) moves to the
left.
O the solution set is x is greater than negative 10, the circle is open; and the graph (line) moves to
the left.

Answer:

a) 0.0016 = 0.16% probability that the sample mean is at least $30.00.

b) 0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00

c) 90% of sample means will occur between $26.1 and $28.9.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 27.50, \sigma = 7, n = 68, s = \frac{7}{\sqrt{68}} = 0.85[/tex]

a. What is the likelihood the sample mean is at least $30.00?

This is 1 subtracted by the pvalue of Z when X = 30. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem, we have that:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{30 - 27.5}{0.85}[/tex]

[tex]Z = 2.94[/tex]

[tex]Z = 2.94[/tex] has a pvalue of 0.9984

1 - 0.9984 = 0.0016

0.0016 = 0.16% probability that the sample mean is at least $30.00.

b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?

This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 26.50. So

From a, when X = 30, Z has a pvalue of 0.9984

When X = 26.5

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{26.5 - 27.5}{0.85}[/tex]

[tex]Z = -1.18[/tex]

[tex]Z = -1.18[/tex] has a pvalue of 0.1190

0.9984 - 0.1190 = 0.8794

0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00.

c. Within what limits will 90 percent of the sample means occur?

Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile, that is, Z between -1.645 and Z = 1.645

Lower bound:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]-1.645 = \frac{X - 27.5}{0.85}[/tex]

[tex]X - 27.5 = -1.645*0.85[/tex]

[tex]X = 26.1[/tex]

Upper Bound:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]1.645 = \frac{X - 27.5}{0.85}[/tex]

[tex]X - 27.5 = 1.645*0.85[/tex]

[tex]X = 28.9[/tex]

90% of sample means will occur between $26.1 and $28.9.

Answer:

the awnser is b hope this helps

Step-by-step explanation:

The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.

The given function is x/16 + y/320 - 29 = 0.

Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.

Now, the LCM of denominators 16 and 320 is 320.

So, 20x/320 + y/320 - 9,280/320 = 0

⇒20x+y-9280=0

⇒y=9280-20x

The equation as a function of x is f(x)=9280-20x. Therefore, option B is the correct answer.

To learn more about the function visit:

https://brainly.com/question/9046022.

#SPJ2

Distribution table :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

Answer:

1.85 ; 1.014 ;` 0.55 ; 3.042

Step-by-step explanation:

Probability distribution :

X : ___ 1 _____ 2 _____ 3 ______ 4

P(x) __0.50 __0.25 __ 0.15 ____ 0.10

The mean: E(x) = Σ(X * p(x))

(1*0.5) + (2*0.25) + (3*0.15) + (4 *0.10)

= 1.85

Standard deviation = sqrt(Var(x))

Var(x) = Σ(x²*p(x)) - E(x)²

Var(x) = ((1^2*0.5) + (2^2*0.25) + (3^2*0.15) + (4^2 *0.10)) - 1.85^2

= 4.45 - 3.4225

= 1.0275

Standard deviation = sqrt(1.0275)

Standard deviation = 1.0136567

Standard deviation(X) = 1.014

3.)

Cost of spin = $5

Amount, y to be received = 3 times the number that appears

y = 3x - cost of playing

y = 3x - 5

E(y) = E(3x - 5)

E(y) = E(3x) - 5

Recall :E(x) = 1.85

E(y) = 3(1.85) - 5

E(y) = 0.55

Standard deviation :Sd(y) =

Sd(3x - 5)

3(1.014)

= 3.042

Answer:  136 square feet

=======================================================

Explanation:

The front face is a triangle with base 6 and height 4.

The area is 0.5*base*height = 0.5*6*4 = 12 square feet

The back face is also 12 square feet since the front and back faces are identical triangles.

So far we have 12+12 = 24 square feet of surface area.

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

The bottom face, that runs along the floor or ground, is a rectangle that is 6 ft by 7 ft. So we have 6*7 = 42 square feet of surface area here. This adds onto the 24 we found earlier to get 24+42 = 66 square feet so far.

To find the left and right upper faces, we'll need to find the length of the hypotenuse first. The 6 ft cuts in half to 3 ft. The right triangle on the left has side lengths of 4 ft and 3 ft as the two legs. Use the pythagorean theorem to find the hypotenuse is 5 ft. We have a 3-4-5 right triangle.

This means the upper left face is 5 ft by 7 ft leading to an area of 5*7 = 35 square feet. The same can be said about the upper right face.

So we add on 35+35 = 70 more square feet to the 66 we found earlier to get a grand total of 70+66 = 136 square feet of surface area.

Answer:

33.25 g

Step-by-step explanation:

Answer:

33.25 g

plz refer to the picture

Answer:

5(3) + i = 30

15 + i = 30

Step-by-step explanation:

Answer:

what are you supposed to do here?

Step-by-step explanation:

Answer:

x=13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

using distributive property:

9x-36-7x=32-2x-16

2x-36=16-2x

4x=52

x= 13

plz brainliesttt

Answer:

i think it is 12

Step-by-step explanation:

Answer:

The measurement of the width is 10cm.

Answer:

12:15

3 goes into both of these numbers so then becomes

4:5

cannot be reduced any further

answer

4:5

This question is incomplete, the complete question is;

The point P is on the unit circle. Find P(x, y) from the given information. The x-coordinate of P is 12/13 , and the y-coordinate is negative.

Answer: P( x, y ) = ( -5/13, 12/13 )

Step-by-step explanation:

Given that;

p( x, y ) is on the unit circle,

Radius of the circle must be 1

so the equation x² + y² = r²

x = 12/13 and r = 1

(12/13)² + y² = 1²

y² = 1 - (12/13)²

y = √ [ 1 - (12/13)² ]

y =  ±5/13

since the y-coordinate is negative y = -5/13

Therefore, P( x, y ) = ( -5/13, 12/13 )

Answer:

4

Step-by-step explanation:

25÷2= 12.50

So it would be 4 because you are trying to find the price (p) for the boots (b)

Answer:

c is correct answer is yes then please

Answer:

[tex]11.1\: \mathrm{g}[/tex]

Step-by-step explanation:

Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are [tex]18\cdot 0.2=3.6[/tex] grams of sugar in her syrup.

John's mixture of 30 grams has a 25% sugar content. Therefore, there are [tex]30\cdot 0.25=7.5[/tex] grams of sugar in her syrup.

Therefore, if they mix their syrups together, there will be [tex]3.6+7.5=\fbox{11.1}[/tex]grams of sugar.

Answer:

I need this answer ASAP

Step-by-step explanation:

Answer:

xy(x-1y)

Step-by-step explanation:

xy^2-x^2y

=solution,

taking common

xy(x-1y)

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\frac{ \sqrt[4]{ \\ 3} }{ \sqrt[5]{3} } }[/tex]

Note : For a problem like this, all we have to do is Rewrite the problem in exponential form to give us an answer of :

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ {_3}\cfrac{1}{20} }[/tex]

[tex]\therefore[/tex]The correct part of the problem is A) [tex] \bold{ {_3}\cfrac{1}{20} }[/tex]

Answer:

y = 5

Step-by-step explanation:

The diagonals of the isosceles EFGH are equal. Therefore:

EG = FH

EG = 3y + 19

FH = 11y - 21

Thus:

3y + 19 = 11y - 21

Collect like terms

3y - 11y = -19 - 21

-8y = -40

Divide both sides by -8

y = 5

Answer:  14x^2 - 84x - 7

====================================================

Explanation:

The like terms 6x^2 and 8x^2 combine to 14x^2

The like terms -8x and -76x combine to -84x

Nothing pairs with the -7, so its stays as is.

Standard form is where we list the terms in decreasing exponent order. We can think of -84x as -84x^1 and the -7 as -7x^0. So 14x^2 - 84x - 7 would be the same as 14x^2 - 84x^1 - 7x^0. The exponents count down: 2,1,0.

The final answer is a trinomial since it has three terms. It is also a quadratic because the degree (highest exponent) is 2.

Answer:

c(h)=12h+6

because the swimsuit only needs to be paid for once, whereas the surfboard is charged on an hourly basis

Answer:

hIm so sorry for that other person they did the same thing to my answer and a bunch of other people too iecked there account and reported him many times so sorry but can give you the answer :)

Its 17 if i id math correctly! sorry bout the other person have a great day

Step-by-step explanation:

Answer:

0.390%

Step-by-step explanation:

100-36=64

25÷64=0.390625

Answer:

2.6

explanation:

100-36=64

64/25= 2.6

Answer:

a = 1

Step-by-step explanation:

7(5a − 4) = 14 − 8a + 1

Distributive property ( multiply what is inside the parenthesis by 7)

7 * 5a - 7 * 4 = 14 - 8a + 1

35a - 28 = 14 - 8a + 1

Combine like terms

35a - 28 = 15 - 8a

Add 8a on both sides

35a + 8a - 28 = 15 - 8a + 8a

43a - 28 = 15

Add 28 on both sides

43a - 28 + 28 = 15 + 28

43a = 43

Divide by 43 on both sides to isolate the variable

43a/43 = 43/43

a = 1

Check

7(5a − 4) = 14 − 8a + 1

Just substitute the "a" with "1"

7(5 * 1 − 4) = 14 − 8 * 1 + 1

35 - 28 = 14 - 8 + 1

7 = 7 CORRECT

Hope this helped!

have a supercalifragilisticexpialidocious day!

Answer:

F.y-axis

Step-by-step explanation:

y axis is the answer because 0 is starting.

The given point

(0,4)

is on the positive segment of the y-axis.

Answer:

-6/7p+1/7

Step-by-step explanation: