Which values are solutions to c < 16?
O A. x= 18 and x = 15
O B. x= 13 and x = 15
C. x= 17 and x= 13
O D. x= 17 and x = 20

Answer:

Step-by-step explanation:

I dont see The figure to hepl you

Answer:

53

Step-by-step explanation:

Sum of interior angles of a pentagon = 540°

Therefore,

2x° +2x° + 3x° + 3x° + 10 = 540°

10x° + 10° = 540°

10x° = 540° - 10°

10x° = 530°

10x = 530

x = 530/10

x = 53

Answer:

P(X, Y) = 1/(20.398 ) if X ∈ (2, 8.2) and Y ∈ (3.01, 6.3)

P(X, Y) = 0 if  X ∉ (2, 8.2) and Y ∉ (3.01, 6.3)

Step-by-step explanation:

We know that the possible values of X (all with the same probability) are:

2 < X < 8.2

And for Y we have the range (also uniform):

3.01 < Y < 6.3

Then we have a rectangle of area.

(8.2 - 2)*(6.3 - 3.01) = 20.398

Such that the probability for all the points inside the rectangle should be exactly equal, then we will have:

P(X, Y) = 1/(20.398 ) if X ∈ (2, 8.2) and Y ∈ (3.01, 6.3)

Such that if we integrate this in the given region, the integral will be equal to 1, as we should expect.

And zero if the point is outside that region, this is:

P(X, Y) = 0 if  X ∉ (2, 8.2) and Y ∉ (3.01, 6.3)

Answer:

The distance between the points is five for the first one and 7 for the second one.

Step-by-step explanation:

Answer:

49.12 in²

Step-by-step explanation:

The composite figure here is a semicircle and a triangle :

Area of triangle = 1/2 * base * height

Base of triangle = 8 inches ; height = 6 inches

Area of triangle = 1/2 * 8 * 6 = 48/2 = 24 in²

Area of semicircle = 1/2 * πr²

Radius = 4 in

Area of semicircle = 1/2 * 3.14 * 4² = 25.12 in²

Area of composite figure :

Area of triangle + Area of semicircle

(24 in² + 25.12 in²)

= 49.12 in²

Answer:

Part a:  Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.

Part b:  Yes we accepted the null hypothesis when it is false so we made a type II error.

Part c: Power = 0.6591=0.66

Step-by-step explanation:

Part a:

Let the null and alternate hypotheses be

H0: u ≤ 1 against the claim Ha: u > 1

The significance level is ∝=0.01

As the standard deviation of the population is not given we use t- test which has n-1= 20-1= 19 degrees of freedom

This is one tailed test the critical region is t > ± 2.539

The mean is calculated to be 1.24 and standard deviation of the sample = s= 0.4486

We take population mean = u= 1

The test statistic is

t = x`-u/ s/ √n

t= 1.24-1 / 0.445/√20

t= 0.24/0.0995

t= 2.412

Since the calculated value of t = 2.412 does not fall in the critical region t > ± 2.539 we conclude that population mean expense ratio does not exceed 1% at 0.01 significance level.

Part b:

Type I errors are those errors when the null hypothesis is true and is rejected.

Type II errors are those in which the null hypothesis is false and is accepted.

If we had rejected the null hypothesis as it was true then we would have made a type I error.

Population mean = u = 1.33

And our null hypothesis is u= 1

Yes we accepted the null hypothesis when it is false so we made a type II error.

Part c:

When σ= 0.5

For Part a: μ= 1.33

Power = P (reject H0/ H0 is false)

= 1-β

P (reject H0/ H0 is false) = P (z > 2.539+ (u`-u0) / σ*√n)

= P (z > 2.539+ (1-1.33) /0.5 *√20)

=P (z > 2.539-2.9516)

= P (z > 0.4126)

= 0.5 - P (z= 0.2938)                                         from the area of table.

= 0.5- 0.1591

=0.3409

Power = 1-β = 1- 0.3409= 0.6591=0.66

Answer:

+9-12

==3

Step-by-step explanation:

when u multiply - and + it will always be -

Answer:

To simplify this, it is simply.

9 - 12

Because the + means its a positive.

9 - 12 = - 3

Step-by-step explanation:

[tex]time = \frac{(final \: - \: initial \: displacement)}{(final - initial \: velocity)} \\ time = \frac{0 - 120}{0 - 8} \\ time = 15 \: seconds[/tex]

Answer:

The 95% confidence interval for the proportion of residents who think traffic is getting worse in their community is (0.2978, 0.3630).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

In a survey of 802 U.S. adult drivers, 265 state that traffic is getting worse in their community.

This means that [tex]n = 802, \pi = \frac{265}{802} = 0.3304[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3304 - 1.96\sqrt{\frac{0.3304*0.6669}{802}} = 0.2978[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3304 + 1.96\sqrt{\frac{0.3304*0.6669}{802}} = 0.3630[/tex]

The 95% confidence interval for the proportion of residents who think traffic is getting worse in their community is (0.2978, 0.3630).

Answer:

4.16%

Step-by-step explanation:

Had it on my test gl!

The probability that a new battery will last between 7 and 8 years is 4.16%.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

µ = 5 years and σ = 1.2

Now, P( 7 < x <8)

= P ( 7- µ/σ <  x- µ/σ < 8- µ/σ)

= P( 7- 5/1.2 < 7- µ/σ < 8- 5/1.2)

= P (1.5 < z < 2.5)

= Φ(2.5) - Φ (1.5)

= 0.9938 - 0.9522

= 4.16%

Learn more about Probability here:

https://brainly.com/question/30034780

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Answer:

The last one.

Step-by-step explanation:

It's the one that has a lot of points (from 11-16) and then one point just chilling on 5. That one point is the outlier. Hope this helps! Have a nice day :)

Given:

Fixed salary = $1400

Additional salary = $500 each time he sells a car.

To find:

The equation for the situation and how much money he will make if he sells 7 cars.​

Solution:

Let y be the total salary of the salesman after selling x cars.

He will earn an extra $500 each time he sells a car. So, extra money earned by him after selling x cars is 500x.

Total salary = Fixed salary + Additional salary

[tex]y=1400+500x[/tex]

Substituting [tex]x=7[/tex], we get

[tex]y=1400+500(7)[/tex]

[tex]y=1400+3500[/tex]

[tex]y=4900[/tex]

Therefore, the required equation for the given situation is [tex]y=1400+500x[/tex] and the salesman will earn $4900 if he sells 7 cars.​

The answer is the first one, A = 0.5bh. I hope this helps, have a good day!

Answer:C.

each pair of triangles below

UT/IF:TQ/IK:IQ/KF

14/44.8:20/64

5/16:5/16

since they are similar

D.

<R=<K=96°

<J=<X=32°

<Q=<K=52°

since corresponding angle are equal.

they are similar

JR/XV:RQ/KV:JQ/XK

similarity condition are:

the corresponding side are proportional and angle are equal.

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Answer:

  c. no

  d. yes; AA postulate

Step-by-step explanation:

c. The marked sides have the same ratio ...

  20/14 = 10/7 = 64/44.8

However, the angle between them is not marked as being the same. We cannot conclude the triangles are similar.

__

d. Missing angle R is 180° -32° -52° = 96°. So, two of the angles in the triangles match. (32° and 96°) ∆RQJ ~ ∆VKX by the AA postulate.

Answer: $1,540.00 is the total amount needed for the class trip

Step-by-step explanation:

Data: $110.00 earned for class trip

14th of the money needed

Money needed: x

Step one, Make the equation

110x14=x

Reason: Since we know 110.00 is a 14th of the money needed, we know multipling it by 14 will get us the money needed for the class trip. Having it in an equation will make it easier to solve.

Step two, Evaluate the equation

110x14=x=1540=x

Reason: The only thing that was left to do was to multiply 110 by 14 to get 1540 since the x was already isolated to begin with. That leaves us with the  answer of x=1540.

However, since this is a real world problem, we have to make the answer more realistic so the final answer is '$1,540.00 is the total amount needed for the class trip'

I hope this helps!

Answer:

48

Step-by-step explanation:

because it gives us the perimeter, we add all the sides

4z-1+4z-1+5z+3+5z+3=166

8z-2+10z+6=166

18z+4=166

18z=162

z=9

side PS is 5z+3

plug in z to get 45+3=48

Answer:

The answer is 14

Step-by-step explanation:

All you have to do is Divide 378 by 27 to get x

Hope This Helps!

Answer:

I don't know sorry :((((((((((((((((

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

41/8 = 5.125

Answer:

Options are not clear.

See explanation

Step-by-step explanation:

Given

[tex]C = (-4,1)[/tex]

[tex]D = (3,3)[/tex]

[tex]m : n =5:2[/tex]

Required

The y coordinate

When a line is divided into segments, by ratios.

The formula is:

[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]

By comparison:

[tex]y = \frac{my_2 + ny_1}{m + n}[/tex]

Where:

[tex]y_1 = 1; y_2 = 3[/tex]

[tex]m : n =5:2[/tex]

So, we have:

[tex]y = \frac{5*3 + 2*1}{5 + 2}[/tex]

[tex]y = \frac{15 + 2}{7}[/tex]

[tex]y = \frac{17}{7}[/tex]

Answer:

{5/7}(3-1)+1

Step-by-step explanation:

got it right on edg

Answer:

3.8×10^7= 38000000

1.9×10^6= 1900000

38000000÷1900000= 20

the population of California is 20 greater than the population of Nebraska

[tex]\huge{ \mathfrak{ \underline{question : }}}[/tex]

Select the two binomials that are factors of this trinomial.

[tex]x_2 + 8x + 12[/tex]

[tex]\huge{ \mathfrak{ \underline{Answer : }}}[/tex]

We got the factors as :

[tex]A. \: (x + 6)[/tex]

and

[tex]D. \: (x + 2)[/tex]

[tex] \#TeeNForeveR[/tex]

Answer:

A&D

Step-by-step explanation:

Step-by-step explanation:

36A) AB = 4/ sin 30° = 4/ 0.5 = 8 cm

36B) AC = 4/ tan 30° = 4/ 0.577 = 6.9 cm

36C) BD = 4/sin 45° = 4/ 0.707 = 5.7 cm

36D) area of ∆ABC = ½×6.9×4= 13.8 cm²

36E) sin A = sin 30° = 0.5

Answer:

C. 63/100

hope this helps

have a good day :)

Step-by-step explanation:

Answer: The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.

Step-by-step explanation:

The statement that is true about the result considering a significance level of 5% is B. The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.

This refers to the analysis of numbers and data to make an inference about a thing.

Hence, we can see that based on the research made about the growth rate of corn, we can see that from the significance level of 5%, we can see that spraying the corn plants with the new type of fertilizer does increase the growth rate.

Read more about statistics here:

https://brainly.com/question/12150562

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Answer:

  A'(-4, 6)

Step-by-step explanation:

When dilation is about the origin, the image points are the preimage points multiplied by the scale factor.

  A' = (2/3)A = (2/3)(-6, 9)

  A' = (-4, 6)

Answer:

(-4, 6)

Step-by-step explanation:

Answer:

17is the truth

Step-by-step explanation:

Answer:

3000 in3 ? I haven't actually done this i-ready before- but I believe it's

Width x Length x Height = Final result?

Step-by-step explanation:

Answer:

4 and 6

Step-by-step explanation:

they are made with lines of the other angles

Answer:

I think the exterior angles are angle 4, angle 6, and angle 2.

Step-by-step explanation:

They are on the outside.