Solve the exponential equation for x: 7(2x + 2) = 73x.​

Answer:

32 people

Step-by-step explanation:     If there are 400 people and there is 8% of that, then first convert 8% to a decimal so its easier to work with. The multiply with 400:

0.08 * 400 = 32

Answer: 32 people have green eyes

Answer:

P-value < 0.005

Step-by-step explanation:

just took it

Answer:

a) 70,663.57< [tex]\overline x[/tex] < 113,680.43

b) The sampling distribution of the means is expected to be approximately normal given that n > 30

Step-by-step explanation:

The given parameter of the study are;

The number of reports in the study, n = 75 reports

The average debt, [tex]\overline x[/tex] = $92,172

The standard deviation, Sₓ = $111,538

a) A one-sample t confidence interval is given as follows;

The Degrees of Freedom, df = n - 1 = 75 - 1 = 74

[tex]C.I, = \overline x \pm t^* \cdot \dfrac{S_x}{\sqrt{n} }[/tex]

[tex]t^*[/tex] = The critical t, at 95% confidence level = 1.67

Therefore, we have;

[tex]C.I, = 92,172 \pm 1.67 \cdot \dfrac{111,538}{\sqrt{75} }[/tex]

Therefore, we have;

[tex]C.I, = 92,172 \pm 1.67 \cdot \dfrac{111,538}{\sqrt{75} }[/tex]

C.I. = (92,172 ± 21,508.43)

Therefore, the 95% one-sample t confidence interval for the average debt of the companies at the time of filing, C.I. = 70,663.57< [tex]\overline x[/tex] < 113,680.43

b) The defense for using the t confidence interval in the question is supported that the fact that the sample size is larger than 30 (n = 75) the sampling distribution of means will be approximately normal and the population mean will be between the confidence interval for the mean.

Answer:

a) The null hypothesis, H₀; p = 0.1

The alternative hypothesis, Hₐ; p ≠ 0.1

b) The proportion of left handed undergrads in UW differs from the national proportion of 0.1

c) The p-value is larger than the level of significance therefore there is statistical evidence supporting the alternative hypothesis

Step-by-step explanation:

The given data are;

The number of students in the sample, n = 140

The number of left handed students in the sample = 12

The number of right handed students in the sample = 128

The proportion of left handed students in the sample, [tex]\hat p[/tex] = 12/140 = 0.08571429

The significance level = 5%

The national proportion, p₀ = 0.1

a) The null hypothesis, H₀; p = 0.1

The null hypothesis is the proportion of left handed students in the UW is the same as the national proportion of 0.1

The alternative hypothesis, Hₐ; p ≠ 0.1

The alternative hypothesis is the proportion of left handed students in the UW is not the same as the national proportion of 0.1

b) Given from the output values of the Confidence Interval at 95% confidence level, (0.04971124, 0.14384532) which are both positive values, and the p-value of 0.5731, we conclude that there is a difference between the proportion of left-handed UW undergraduate students and the national proportion of 0.1

c) Given that the p-value of 0.5731 is larger than the significance level of 0.05, we reject the null hypothesis and there is significant statistical evidence to suggest that the proportion of UW undergrads who are left handed differs from the national proportion of 0.10

Answer:

3(7+x²)x-2

3x(7+x²)-2

21x+3x³-2

Step-by-step explanation:

if I had to guess it's probably true

Answer:

16m

Step-by-step explanation:

radius is half of diameter​

Answer:

f(x) = a(x - 1) + 20

Step-by-step explanation:

Vertex form is written in this format: f(x) = a(x - h) + k. The vertex point is written in the form (h,k). To write the vertex in the equation, fill in the digits where they belong.

Hope it helps!

The ball's parabolic route is represented by the quadratic function's graph. The quadratic function is x²-2x+4=0.

Given that,

A thrown ball's height is a quadratic function of the amount of time it has been in the air. The ball's parabolic route is represented by the quadratic function's graph. The ball's route includes the location (1, 20), which is the graph's vertex (0,4).

We have to find what does the expression for this function look like? In vertex form, write the quadratic function.

Use y= a(x-h)² + k as the vertex form of a parabola.

(The parabola opens upward if "a" is positive and downward if "a" is negative.) Additionally, the vertex of the (h,k) is a parabola.

The vertex of the parabola (h,k) is (1,20)

The a value is 4 and y as 0.

y=a(x-h)²+k

0=4(x-1)²+20

0=4(x²-2x+1)+20

0=4x²-8x-4+20

0=4x²-8x+16

4x²-8x+16=0

x²-2x+4=0

Therefore, the quadratic function is x²-2x+4=0.

To learn more about quadratic visit: https://brainly.com/question/22364785

#SPJ2

Answer:

a) 67.6% of students is expected to pass the course

b) 0.9112 = 91.12% probability that he/she attended classes on Fridays

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. What percentage of students is expected to pass the course?

88% of 70%(attended class)

20% of 100 - 70 = 30%(did not attend class). So

[tex]p = 0.88*0.7 + 0.2*0.3 = 0.676[/tex]

0.676*100% = 67.6%

67.6% of students is expected to pass the course.

b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

Here, we use conditional probability:

Event A: Passed the course

Event B: Attended classes on Fridays.

67.6% of students is expected to pass the course.

This means that [tex]P(A) = 0.676[/tex]

Probability that passed and attended classes on Friday.

88% of 70%

This means that:

[tex]P(A \cap B) = 0.88*0.7 = 0.616[/tex]

Then

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.616}{0.676} = 0.9112[/tex]

0.9112 = 91.12% probability that he/she attended classes on Fridays

Answer:

the answer for question 2 is (D)

Answer:

i think its

[tex]P(x) = i ^{3}[/tex]

Step-by-step explanation:

Answer:

small is 0.018

medium is 0.016

large is 0.010

Answer:

The answer is 3

Step-by-step explanation:

if the other side is 10 then 2x+4 should be 10

2*3+4=10

Answer: irrational and real numbers

9514 1404 393

Answer:

Step-by-step explanation:

The speed downriver was (16 mi)/(2 h) = 8 mph. The speed upriver was (16 mi)/(4 h) = 4 mph. The canoe's speed in still water is the average of these speeds: (8+4)/2 = 6 miles per hour.

The current's speed is the difference between the actual speed and the canoe's speed: 8 -6 = 2 miles per hour.

The speed of the canoe in still water is 6 mph; the rate of the current is 2 mph.

Answer:

sorry hunny you on your own

Answer:

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

100 × 63 × 23 ÷ 20 × 30 × 0 × 5 × 50 × 10

You see the bold " × 0"; this means whatever happened before the " × 0" means nothing. You are left with "× 0 × 5 × 50 × 10". Any number times 0 or 0 times any number = 0. Your answer is 0.

Answer:

none of those?

Step-by-step explanation:

4(-2c) = -8c

Answer:    -9c

Step-by-step explanation:

4(-2c) - c

= -8c - c

= -9c  

-9c is the answer

Answer:

Step-by-step explanation:

(5 dollars)/(4 girls) = (5/4 dollars)/girl = (1.25 dollars)/girl

:::::

(5.52 dollars)/(4 girls) = (5.52/4 dollars)/girl = (1.38 dollars)/girl

Answer:

Step-by-step explanation:

Given that the:

Find the volume of the cuboid!

Volume equation =

W × H × L =

5/8 × 2/3 × 3/4 =

(5×2×3)/(8×3×4) =

30/96 =

The volume = 5/16 cubic centimetres

____________________

#IndonesianPride - kexcvi

Answer:

$11 is her change

Step-by-step explanation:

This is a simple adding and subtracing problem.

What we first do is add up 4+2+3=9 then we subtract 9 from 20 which gives us $11

We can check our answer by add up 11 + 9 to see if it equals to 20

It was so easy xD

its x=1

y=12×1+7

y=-6×1+25

=19

Answer:

Step-by-step explanation: