The measures of the angles in triangle UVW are shown in the diagram below.

Answer:

0.8612 = 86.12% probability that the sample proportion will differ from the population proportion by less than 3%

Step-by-step explanation:

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

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Suppose a large consignment of televisions contained 11% defectives.

This means that [tex]p = 0.11[/tex]

Sample of size 237

This means that [tex]n = 237[/tex]

Mean and standard deviation:

[tex]\mu = p = 0.11[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.11*0.89}{237}} = 0.0203[/tex]

What is the probability that the sample proportion will differ from the population proportion by less than 3%?

P-value of Z when X = 0.11 + 0.03 = 0.14 subtracted by the p-value of Z when X = 0.11 - 0.03 = 0.08. So

X = 0.14

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.14 - 0.11}{0.0203}[/tex]

[tex]Z = 1.48[/tex]

[tex]Z = 1.48[/tex] has a p-value of 0.9306

X = 0.08

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

[tex]Z = \frac{0.08 - 0.11}{0.0203}[/tex]

[tex]Z = -1.48[/tex]

[tex]Z = -1.48[/tex] has a p-value of 0.0694

0.9306 - 0.0694 = 0.8612

0.8612 = 86.12% probability that the sample proportion will differ from the population proportion by less than 3%

Answer: $3648

Step-by-step explanation:

Firstly, we have to calculate the interest which will be:

= Principal × Rate × Time

= $1600 × 8% × 16

= $1600 × 0.08 × 16

= $2048

Therefore, the amount in the account after 16 years will be:

= Principal + Interest.

= $1600 + $2048

= $3648

Answer and explanation:

Multicollinearity happens when multiple independent variables are correlated and therefore it is hard to determine which independent variable has the most impact or is most significantly affecting the dependent variable. This could be a source of confusion as the coefficients become less reliable.

Extreme multicollinearity occurs when there is exaggerated standard errors or increased variance of coefficient estimates.

Answer:

1

Step-by-step explanation:

When you multiply two quantities under a root, it is just like normal multiplication. 2*18 is 36, which is the perfect square of six. Since this number can be expressed as p/q (where p and q are integers; the values here are 6 and 1), it is rational.

Answer:

b/2 + 8 = 86

b = 156

Step-by-step explanation:

Half the comics is b/2

b/2 + 8 = 86

Subtract 8 from both sides

b/2 = 78

multiply both sides by 2

b = 156

Answers:

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

Explanation:

Any conditional statement is of the form "If P, then Q"

P is the hypothesis, which is the initial set up to lead to the conclusion Q

As an example, the sentence "If it rains, then it gets wet on the road" has P = "it rains" as the hypothesis and Q = "it gets wet on the road" as the conclusion.

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

In short, the format is "If hypothesis, then conclusion".

Answer:

5 divided by 1/5

5 x 5/1 = 25, he has 25 servings.

Answer:

OMGGGG wanna work on this together I need this question too

Answer:

Step-by-step explanation:

either do 23 x23

or

23 x 16 ( do this first )

9514 1404 393

Answer:

  A. (1, - 3/2)

Step-by-step explanation:

The coordinate of the midpoint is the average of the endpoint coordinates.

  M = (A +B)/2

  M = ((1, 2) +(1, -5))/2 = (1+1, 2-5)/2 = (2, -3)/2

  M = (1, -3/2) . . . . . matches choice A

Answer:

A. (1, - 3/2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]sin({\alpha\over{2}})=\pm\sqrt{{1-cos(\alpha)\over{2}}}\Rightarrow sin({30\over{2}})=+\sqrt{{1-{\sqrt{3}\over{2}}\over{2}}}={\sqrt{{2-\sqrt{3}}}\over{2}}[/tex]

[tex]cos({\alpha\over{2}})=\pm\sqrt{{1+cos(\alpha)}\over{2}}=+\sqrt{{1+{\sqrt{3}\over{2}}\over{2}}}={\sqrt{{2+\sqrt{3}}}\over{2}}[/tex]

substituting we get:

[tex]tg(15)=\sqrt{{2-\sqrt{3}}\over{2+\sqrt{3}}}[/tex]

Answer:

4.7 to nearest tenth.

Step-by-step explanation:

By Pythagoras:

8^2 = x^2 + 6.5^2

x^2 = 8^2 - 6.5^2

x^2 = 64 - 42.25 = 21.75

x = √21.75

= 4.6637

Answer: x=3

Step-by-step explanation:

from figure

=>tan45= x/3

=>x= 3tan45

=>x=3

Answer:

Step-by-step explanation:

here hypotenuse is x

since it is an isosceles triangle the other side of the triangle also must 3.

using pythagoras theorem

a^2 + b^2 = c^2

3^2 + 3^2 = x^2

9 + 9 = x^2

18 = x^2

[tex]\sqrt{18} = x[/tex]

the answer is 2,0

Step-by-step explanation:

i got it right according to my teacher

The x-intercept of the continuous function shown in the table is, (2, 0)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Slope = -7+8/1

slope=1

You can see the values of x and f(x) from the given table.

An ordered pairs is in the form of (x, f(x)).

By x-intercept definition;

at x =2

⇒ f(x) = 0

Therefore,  the x-intercept of the continuous function shown in the table is, (2, 0)

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ7

Answer:

6

Step-by-step explanation:

.....................

Answer:

6

Step-by-step explanation:

pecentage calculator.what is 75 percent of 8?=6

Answer:

..........

Step-by-step explanation:

[tex]\pi[/tex]

Answer:

i dont know hun i am very sorry

Step-by-step explanation:

Answer:

36123.5994797

Answer:

6: 15

Step-by-step explanation:

When finding the ratio of anything, you must count each side.

Answer:

Step-by-step explanation:

Im not sure but i think

452.16/3.14.= 3.14r^2/3.14

144(square root sign) = squarw root sign r^2)

12=r

Answer:

He should have subtracted 2 from each side to find the solution for x+2 =0

Step-by-step explanation:

(x + 2)(x - 7) = 0

Using the zero product property

x+2 = 0   x-7=0

x+2-2=0-2    x-7+7=0+7

x = -2            x=7

He should have subtracted 2 from each side to find the solution for x+2 =0

Step-by-step explanation:

the steps he took are correct but the answer of x is somehow wrong because

(x+2)=0

x = -2

and not x = 2

The scale is 5/4

Because:

Let's take

20/16 = 5/4

20/16 = 5/4

15/12 = 5/4

Answer:

5/2 or 5:2 ratio is the reduced fraction from the scale factor A to B.

Answer:

Sn=−6650

Step-by-step explanation:

Answer:

If both cars maintain their average speeds, it will take 12 hours for Mary to catch up with Susan.

Step-by-step explanation:

Since Susan drives north on the 405 Freeway at 50 miles per hour, and two hours after Susan passes under Westminster Blvd, Maria enters the 405 Freeway at Westminster Blvd and heads north at 60 miles per hour, if both cars maintain their average speeds, to determine how long will it take Mary to catch up with Susan the following calculation must be performed:

Hour 1 = 50

Hour 2 = 100

Hour 3 = 150 - 60

Hour 4 = 200 - 120

Hour 5 = 250 - 180

Hour 6 = 300 - 240

Hour 7 = 350 - 300

Hour 8 = 400 - 360

Hour 9 = 450 - 420

Hour 10 = 500 - 480

Hour 11 = 550 - 540

Hour 12 = 600 - 600

Therefore, if both cars maintain their average speeds, it will take 12 hours for Mary to catch up with Susan.

Answer:

third and last one

Step-by-step explanation:

im pretty sure those are the answers i used a graphing calculator.

9514 1404 393

Answer:

  C and E

Step-by-step explanation:

The rules of exponents apply:

  (a^b)(a^c) = a^(b+c)

__

  [tex]200(10^x)=20\cdot10^1\cdot10^x=\boxed{20(10^{x+1})}\\\\=2\cdot10^2\cdot10^x=\boxed{2(10^{x+2})}[/tex]

These match the 3rd (C) and last (E) choices.

Answer:

Let p = the speed of the plane

and w = the speed of the wind

It takes the plane 3 hours to go 600 miles when against the headwind and 2 hours to go 600 miles with the headwind. So we set up a system of equations.

600mi3hr=p−w600mi2hr=p+w

Solving for the left sides we get:

200mph = p - w

300mph = p + w

Now solve for one variable in either equation. I'll solve for x in the first equation:

200mph = p - w

Add w to both sides:

p = 200mph + w

Now we can substitute the x that we found in the first equation into the second equation so we can solve for w:

300mph = (200mph + w) + w

Combine like terms:

300mph = 200mph + 2w

Subtract 200mph on both sides:

100mph = 2w

Divide by 2:

50mph = w

So the speed of the wind is 50mph.

Now plug the value we just found back in to either equation to find the speed of the plane, I'll plug it into the first equation:

200mph = p - 50mph

Add 50mph on both sides:

250mph = p

So the speed of the plane in still air is 250mph.

Answer:

140miles/hour

Step-by-step explanation:

Speed of airplane + speed of wind

=240miles/3 hours + 240miles/4 hours

=80miles/hour +60miles/hour

= 140miles/hour