r − 38 = 9
please solve the equation

Answer:

y = 4

Step-by-step explanation:

Both the triangles are congruent by SSS postulate.

Therefore,

[tex]4y + 8 = 24 \\ (corresponding \: sides \: of \: \\ congruent \: \triangle s) \\ 4y = 24 - 8 \\ \\ 4y = 16 \\ \\ y = \frac{16}{4} \\ \\ y = 4[/tex]

Answer:

The answer is maybe going to be D which is 33 million

Step-by-step explanation:

New york is a big city

Answer:

The point estimate for the true difference between the population means is of -2.62 years.

The 95% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -3.4 years and -1.84 years.

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem, and subtraction between normal variables.

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.

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]

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the mean, while the standard deviation is the square root of the sum of variances.

A sample of 138 cars owned by students had an average age of 5.13 years. The population standard deviation for cars owned by students is 3.45 years.

This means that:

[tex]\mu_{s} = 5.13, \sigma_{s} = 3.45, n = 138, s_s = \frac{3.45}{\sqrt{138}} = 0.2937[/tex]

A sample of 111 cars owned by faculty had an average age of 7.75 years.  The population standard deviation for cars owned by faculty is 2.08 years.

This means that [tex]\mu_{f} = 7.75, \sigma_{f} = 2.08, n = 111, s_f = \frac{2.08}{\sqrt{111}} = 0.2658[/tex]

Difference between the true mean ages for cars owned by students and faculty.

s - f

Mean:

[tex]\mu = \mu_s - \mu_f = 5.13 - 7.75 = -2.62[/tex]

This is the point estimate for the true difference between the population means.

Standard deviation:

[tex]s = \sqrt{s_s^2+s_f^2} = \sqrt{0.2937^2+0.2658^2} = 0.3961[/tex]

Confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = zs = 1.96*0.3961 = 0.78[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is -2.62 - 0.78 = -3.4

The upper end of the interval is the sample mean added to M. So it is -2.62 + 0.78 = -1.84

The 95% confidence interval for the difference between the true mean ages for cars owned by students and faculty is between -3.4 years and -1.84 years.

Answer:

angle b= 86 degrees

Step-by-step explanation:

hope this helps, have a nice day :)

Answer:

8/30015 or .037%

Step-by-step explanation:

16/30 × 15/29 × 14/28 × 13/27 × 12/26 x 11/25 x 10/24 × 9/23 × 8/22 × 7/21

= 8/30015

Answer:

See below

Step-by-step explanation:

we are given two functions

[tex] \displaystyle \begin{cases}f(x) = - x + 5 \\ g(x) = {x}^{2} - 3x + 2\end{cases}[/tex]

where f(x) is a linear function and g(x) is a quadratic function

we want to figure out the solutions of the function

let's graph f(x):

the Black-table is attached

let's graph g(x):

the picture is attached

hence, the graph should be

the graph is attached

so we need solution(s) which satisfy(ies) the both functions

in this case the solution (s) the x coordinate(s) where both functions intercept we get from the graph that both functions intercept at (-1,6) and (3,2)

hence,

x={-1,3}

Answer:

ok

Step-by-step explanation:

whats the question?

Answer:

Step-by-step explanation:

Answer:

216

Step-by-step explanation:

^

Answer:

1/20 of 2 minutes = 6 seconds

Answer:

1/20; 0.05; 5%

Step-by-step explanation:

Well, 2 minutes is 120 seconds, 6/120 simplified is 1/20, and decimal form would be 0.05, which is 5%

Answer:true

Step-by-step explanation:

Answer:

x=1/6 or 0.16

Step-by-step explanation:

x has to be whatever makes the equation true.

does 1/3 +2= 4 alone no does it = 4 when you do the 1/3(1/6) yes

Answer:

B)  x = 12

Step-by-step explanation:

m∡EOU = m∡TQE

m∡EOU =180 - (39+45) = 96°

m∡TQE:  7x + 12 = 96

7x = 84

x = 12

Answer:

Chapter Three: Calculate Total Countertop Square Footage

To calculate the total square footage (after placing seams) you will need to follow this formula: “L” x “W” / 144 = s.f. (Length times width divided by 144 = square feet).

Answer:

647.668 cm³

Step-by-step explanation:

12.5 kg = 12500 g

12500 g/19.3 g/cm³ = 647.668 cm³

Answer:

409 i would say

Step-by-step explanation:

very sorry is its wrong!!! :(

Answer:

prob d im guessing :^)

Step-by-step explanation:

tell me if i got it right or wrong i will fix if needed

9514 1404 393

Answer:

  (d)

Step-by-step explanation:

The purpose of the mnemonic SOH CAH TOA is to help you remember that ...

   Tan = Opposite/Adjacent

Answer:

Step-by-step explanation:

f ''(x) = 2x + 5e^x

f '(x) =  x² + 5e^x + D

f (x) = 1/3 x³ + 5e^x + C

Answer:

The car gets 35 miles per gallons.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

All of the rest you have to pay off. A savings account is a good place to keep money safe for the future, and you can also make interest.

Answer:

3.24

Step-by-step explanation:

9 takes up 3.24 of 36%

Answer:

9 is 36% of 25

Step-by-step explanation:

36%×x=9

36/100×x=9

x=9×100/36

x=25

Answer: NO GRAPH DUMMY

Step-by-step explanation:

Answer:

0.104 = 10.4% probability that at least 2 drive without a seatbelt.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they drive without a seatbelt, or they do not. The probability of a person driving without a seatbelt is independent of any other person. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% of the people in Fiji drive the car without seatbelt.

This means that [tex]p = 0.2[/tex]

3 people are randomly selected

This means that [tex]n = 3[/tex]

Find the probability that at least 2 drive without a seatbelt?

This is:

[tex]P(X \geq 2) = P(X = 2) + P(X = 3)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{3,2}.(0.2)^{2}.(0.8)^{1} = 0.096[/tex]

[tex]P(X = 3) = C_{3,3}.(0.2)^{3}.(0.8)^{0} = 0.008[/tex]

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) = 0.096 + 0.008 = 0.104[/tex]

0.104 = 10.4% probability that at least 2 drive without a seatbelt.

Answer:

1780.43

Step-by-step explanation:

Given:

P = 800

r = 10% or 0.1

t = 8

Work:

[tex]A=Pe^{rt}\\\\A=800e^{0.1*8}\\\\A=800e^{0.8}\\\\A=1780.43[/tex]

Answer:

[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

let blank be O

[tex]\frac{5}{6} +O=\frac{5}{2} \\[/tex]

[tex]O=\frac{5}{2} -\frac{5}{6} =\frac{15}{6} -\frac{5}{6} =\frac{10}{6} =\frac{5}{3}[/tex]

Answer:

I believe it's the 4th one the 2nd on the right under that the one i think is selected looks right!

Answer is 4th one.

Step-by-step explanation:

Hope i helped! Your welcome! Have a great week!

Answer:

Seattle is more likely to have rain.

Step-by-step explanation:

Seattle has a 75% chance of rain

Tacoma has a 1/4 chance of rain.

100% = 4/4

75% = 3/4

50% = 2/4

25% = 1/4

25% < 75%

Answer:

Step-by-step explanation:

Answer:

ANSWER : 4

Step-by-step explanation:

hello :

tanA=7/2    means : A= tan^-1 (7/2) =74°