what theorem can be used to prove the 2 triangles similar?

Answer:um.... I think bc

Step-by-step explanation:

Graph 2 represents that the function is positive for the entire interval [-3,-2].

A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.” The input values make up the domain, and the output values make up the range.

We are given four different graphs for different functions. We have to find the graph that is positive for the entire interval [-3,-2].

We make the following observation from the given graphs.

1. In graph 1 the function has a value of 0 at -3 and the value decreases from -3 to -2. Thus the function is negative in the given interval.

2. In graph 2, it can be clearly seen that the function has a positive value, through the entire given interval.

3. In graph 3, the function shows negative value entirely in the given interval.

4. In graph 4, the function exhibits both positive and negative value in the given interval and in not positive in the entire interval.

Thus, the function in graph 2 is positive for the entire interval [-3,-2].

Find out more information about graph here

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Answer:

Step-by-step explanation:

B

if you multiply you will have

6x^2+8x-5

Answer: A isn't a function

Step-by-step explanation:

Answer:

ez. the answer is A

Step-by-step explanation:

if any x's repeat, it's automatically not a function. so you see how there are 2 3's on answer choice A

9514 1404 393

Answer:

  $2300.01

Step-by-step explanation:

The down payment is 14% of $394,000, so is ...

  0.14 × $394,000 = $55,160

This means the principal amount of the loan is ...

  $394,000 -55,160 = $338,840

__

The amount of the monthly loan payment is given by the amortization formula ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where P is the principal amount, r is the annual interest rate, and t is the number of years. Filling in the values, we have ...

  A = $338,840(0.072/12)/(1 -(1 +0.072/12)^(-12·30))

  = $338,840(0.006)/(1 -(1.006^-360)) = $2300.01

The monthly payment is $2300.01.

_____

Additional comment

Such calculations are commonly done using a spreadsheet, financial calculator, or app. If you're doing a number of financial calculations, it can be a good idea to obtain and learn to use an appropriate tool.

Answer:

a) Since np >= 5 and n(1-p) >= 5, the approximation is justified

b) 0.7

c) 0.0725

d) 0.5098 = 50.98% probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05

Step-by-step explanation:

We use the normal distribution and the central limit theorem to solve this question.

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

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]

In this question, we have that:

[tex]p = 0.7, n = 40[/tex]

a. Show that this sample size is large enough to justify using the normal approximation to thesampling distribution of p.

We need that: np >= 5, n(1-p) >= 5. So

np = 40*0.7 = 28 > 5

n(1-p) = 40*0.3 = 12 > 5

Since both conditions are satisfied, the approximation is justified.

b. What is the mean of the sampling distribution of p if the real estate agents are correct?

This is [tex]\mu = p = 0.7[/tex]

c. What is the standard deviation of the sampling distribution of p if the real estate agents are correct?

This is [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.7*0.3}{40}} = 0.0725[/tex]

d. If the real estate agents are correct, what is the probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05?

This is the pvalue of Z when X = 0.7 + 0.05 = 0.75 subtracted by the pvalue of Z when X = 0.7 - 0.05 = 0.65. So

X = 0.75

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.75 - 0.7}{0.0725}[/tex]

[tex]Z = 0.69[/tex]

[tex]Z = 0.69[/tex] has a pvalue of 0.7549

X = 0.65

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

[tex]Z = \frac{0.65 - 0.7}{0.0725}[/tex]

[tex]Z = -0.69[/tex]

[tex]Z = -0.69[/tex] has a pvalue of 0.2451

0.7549 - 0.2451 = 0.5098

0.5098 = 50.98% probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05

Answer:

3690

Step-by-step explanation:

it has the nearest tenth value is 90

Answer:

A display of points that shows the relationship between two sets of data

Step-by-step explanation:

Answer:

you spent 5/23 of your money

Step-by-step explanation:

5/23- you can't simplify this fraction.

Answer:

[tex]w = - 0.5[/tex]

Step-by-step explanation:

Given

[tex]w = 0.3d - 0.5[/tex] [The correct equation]

Required

Find and interpret the 0

To do this, we set [tex]d = 0[/tex]

Substitute 0 for d in [tex]w = 0.3d - 0.5[/tex]

[tex]w = 0.3 * 0 - 0.5[/tex]

[tex]w = 0 - 0.5[/tex]

[tex]w = - 0.5[/tex]

This means that the level of rain is 0.5m below the sea at day 0

Answer:

This one:

The equation

24x2+25x−47

ax−2

=−8x−3−

53

ax−2

is true for all values of x≠

2

a

, where a is a constant.

What is the value of a?

A) -16

B) -3

C) 3

D) 16

Answer:

isnt it 15

Step-by-step explanation:

since cold is vertical and vitiman c is horizantal  you have to find where both number are or in other word where they stop

Answer: x=70, y=20

Step-by-step explanation:

From the equilateral triangle, we know that 2y+10=x-y, as all sides must measure the same length.

From the isosceles triangle, we know that x° is 70°, because all triangles must add up to 180°.

70-y=2y+10

Solve for this, and y=20

Answer: 45

Step-by-step explanation: 160-115= 45 you do this because the angles are across the vertex from each other.

Answer:

X=45

Step-by-step explanation:

Method 1 ( the long one)

So AED and CEB are vertical angles, that means that the are the same and have the same value.

So 115 plus x equal 160.

                            115 + x = 160

from there we just have to subtract 115 from both sides to get x by itself.

                            115 + x = 160

                           -115         -115

                       _________________

                                   x=45

Method 2 (short one

If you know that those are vertical angles, then just subtract 115 from 160 and there you go. You get 45.

Answer:

$400,      11.4%,     yes $38

Step-by-step explanation:

Answer:10 dollars

Step-by-step explanation:6x5=30 that is barnworm 5x3=15 which is barnyard so 5x10=50 and 6x10=60

Answer:

49 8/9 - 17 1/3 = -5/3 or -1 2/3

Answer:

0.0823 = 8.23% probability that fewer than 10% of the rolls are a five

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

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].

A fair six-sided number cube is rolled 60 times.

This means that [tex]n = 60[/tex]

Rolls that are a five:

For each roll, there are 6 possible outcomes: 1, 2, 3, 4, 5 or 6. So the probability of rolling a five is:

[tex]p = \frac{1}{6} = 0.1667[/tex]

The distribution has mean and standard deviation:

[tex]\mu = p = 0.1667[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.1667*(1-0.1667)}{60}} = 0.0481[/tex]

What is the probability that fewer than 10% of the rolls are a five?

This is the pvalue of Z when X = 0.1. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.1 - 0.1667}{0.0471}[/tex]

[tex]Z = -1.39[/tex]

[tex]Z = -1.39[/tex] has a pvalue of 0.0823

0.0823 = 8.23% probability that fewer than 10% of the rolls are a five

Answer: 0.082

Step-by-step explanation:

Answer:

7 pairs of socks

Step-by-step explanation:

4.5x + 80 [tex]\leq[/tex] 115

4.5x [tex]\leq[/tex] 35

dividing 35 by 4.5 gives us 7.78, making 7 our greatest whole number, representing the maximum number of socks that Munir can buy.

I have already answered number 3 on your other question.

Answer:

$7.25

Step-by-step explanation:

I'm pretty sure I'm correct. Hope this helps and have a nice day!

Answer:

a) (4,-2) b) (77,77)

Step-by-step explanation:

Times the brackets out and then add them or take them away

slope intercept form is y=mx+b

so slope is 2/3

so ur answer is y=2/3x+7

thx

hope u have a good day

byee

:)

Answer:

18ft

Step-by-step explanation:

I don't know if it right but this is how i got my answer

I divide 12/8 and got 1.5

I multiplied 12 x 1.5 and got 18.

This was my answer, do you need the work?