A click beetle abruptly releases elastic energy stored in its body to launch itself into the air. The function h(t) =-167 + 8t represents the
height h (in feet) of the click beetle 1 seconds after launching. The height of a second click beetle 1 seconds after launching is shown in the
graph. Which click beetle went higher?

Answer:

a trapizoid has 2 obtuse angles

Step-by-step explanation:

Margin of error is 4.645% with 95% confidence that the mean number of hours all the residents of the city are watching news on television is 1.8 .

Data given :

A researcher surveyed 220 residents of a city about the number of hours they spend watching news on television each day. The mean of the sample was 1.8 with a standard deviation of 0.35 .

The researcher can be 95% confident that the mean number of hours all the residents of the city are watching news on television is 1.8 with what margin of error,

By formula of margin of error = [tex]M = 1.96 \times S / \sqrt{N} ,[/tex]

[tex]Margin \ of \ error, \ M = z \times \frac{s}{\sqrt{N}}[/tex]

z - represents the z-value for the required confidence level .

s - represents the standard deviation of the sample .

N - represents the sample size .

Now, using the above information, compute the margin of error as -

[tex]\therefore \ Margin \ of \ error, \ M = z \times \frac{s}{\sqrt{N}} \\= 1.96 \times \frac{0.35}{\sqrt{220}}[/tex]

[tex]=0.04625 (rounded \ to \ 5\ decimal\ places) \\\\ =4.625\%[/tex]

Thus, the margin of error, M, is approximately 4.625% .

Know more about margin of error,

https://brainly.com/question/34599324

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Answer:

D

Step-by-step explanation:

f(x-3) = (x-3)^2 - 8

f(x-3) = (x-3)(x-3) - 8

f(x-3) = x^2 - 6x + 9 - 8

f(x-3) = x^2 - 6x + 1

Answer:

A. 2, because -2=2 2+-2=0 if that makes sense

Answer:

tax $ 3400

Step-by-step explanation:

[tex]\left\begin{array}{ccc}10,000&3&300\\40,0000&5&2000\\20,000&5.5&1100\end{array}\right[/tex]                        

so, tax= $= 3400

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

hope it helps...

have a great day!!

Answer:

n < 408

Step-by-step explanation:

(n/4) - 9 < 93

n - 36 < 372

n < 372 + 36

n < 408

Correct me if I'm wrong. I hope it helps

Answer:

For b = 7, the expression equals 15.

Step-by-step explanation:

6b + 8 - 5b

Substitute the variable b = 7.

6(7) + 8 - 5(7)

Multiply.

42 + 8 - 35

Add.

50 - 35

Subtract.

15.

Answer:

15

Step-by-step explanation:

6 × 7 = 42

5 × 7 = 35

42 + 8 - 35 = 15

Answer:

Wallet #1 = $500 and Wallet #2 = $200

Step-by-step explanation:

I dont know if that was the answer you were looking for?

sorry if its not... :(

Answer:

a) 25% of the students exam scores fall below 55.6.

b) The minimum score for an A is 84.68.

Step-by-step explanation:

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.

Mean of 61 and a standard deviation of 8.

This means that [tex]\mu = 61, \sigma = 8[/tex]

(a) What score do 25% of the students exam scores fall below?

Below the 25th percentile, which is X when Z has a p-value of 0.25, that is, X when Z = -0.675.

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

[tex]-0.675 = \frac{X - 61}{8}[/tex]

[tex]X - 61 = -0.675*8[/tex]

[tex]X = 55.6[/tex]

25% of the students exam scores fall below 55.6.

(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?

This is the 100 - 0.15 = 99.85th percentile, which is X when Z has a p-value of 0.9985. So X when Z = 2.96.

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

[tex]2.96 = \frac{X - 61}{8}[/tex]

[tex]X - 61 = 2.96*8[/tex]

[tex]X = 84.68[/tex]

The minimum score for an A is 84.68.

Answer:

6x+4y+3xy-2x+2y+2xy

4x+2y+xy

this is the answer

Step-by-step explanation:

4x+2y+xy answer

hope this will help you

Given:

The function is:

[tex]f(x)=6x[/tex]

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

[tex]f(x)=6x[/tex]

Step 1: Substitute [tex]f(x)=y[/tex].

[tex]y=6x[/tex]

Step 2: Interchange x and y.

[tex]x=6y[/tex]

Step 3: Isolate variable y.

[tex]\dfrac{x}{6}=y[/tex]

Step 4: Substitute [tex]y=f^{-1}(x)[/tex].

[tex]\dfrac{x}{6}=f^{-1}(x)[/tex]

Therefore, the inverse of the given function is [tex]f^{-1}(x)=\dfrac{x}{6}[/tex] and the graphs of these functions are shown below.

Note: The inverse function is [tex]g(x)=f^{-1}(x)[/tex].

Answer:

3-5(-3)

3 minus -15

-12

Step-by-step explanation:

Answer:

They should sample the results of 1990 patient results.

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].

The margin of error is of:

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

A reproductive clinic had a success rate of 25% of patients with live births in 2008.

This means that [tex]\pi = 0.25[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

If they want their estimate to be within 2.5%, how many patient's results should they sample if they plan to use a 99% confidence interval?

They should sample n patients.

n is found for [tex]M = 0.025[/tex]. So

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

[tex]0.025 = 2.575\sqrt{\frac{0.25*0.75}{n}}[/tex]

[tex]0.025\sqrt{n} = 2.575\sqrt{0.25*0.75}[/tex]

[tex]\sqrt{n} = \frac{2.575\sqrt{0.25*0.75}}{0.025}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575\sqrt{0.25*0.75}}{0.025})^2[/tex]

[tex]n = 1989.2[/tex]

Rounding up:

They should sample the results of 1990 patient results.

Answer:

1,524

Step-by-step explanation:

2,000 x 2%= 40

6,999 x 5%=349.95

20,999 x 5.4% = 1,133.95

40+349.95+1133.95=1,523.90

1) true

2)false

Step-by-step explanation:

1) 5(3)+2(4) = 23

= 15+8=23

23=23

thus, (3,4) is solution for 5x + 2y = 23

2) 5(0)+2(4) =23

= 0+8 is not 23

thus, (0,4) is not solution for 5x + 2y = 23

Answer:

9± √3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

y=-1/6x-3

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-1/6(x-(-6))

y+2=-1/6(x+6)

y=-1/6x-6/6-2

y=-1/6x-1-2

y=-1/6x-3

Answer:

B, D

Step-by-step explanation:

for it to be symmetrical, you have to rotate it so it matches the other triangle.

Answer:

4000 Milliliters......

Answer:

the answer is 9.

Answer:

E. 9/20

Step-by-step explanation:

0.45=45/100=9/20

Answer:

E. 9/20

Step-by-step explanation:

0.45= 45/100

45/100 divided by 5 is 9/20

Answer:

4.5 sq. units

Step-by-step explanation:

area = -⅓x³+3/2 x² ] 0 to 3

= -⅓(3)³+ 3/2 (3)² -0

= -9 + 27/2

= -9 + 13.5

= 4.5 sq. units

Answer:

2,745

Step-by-step explanation:

Answers:

a. The customer will earn $700 after 10 years.

b. The bank balance will be $5,700 after 10 years,

Answer:

B, slope is negative

Step-by-step explanation:

if the line, starting from left, goes down then the slope is negative

smallest share is $600

Answer:

6 hours

Step-by-step explanation:

speed = distance/ time

6000meters to km = 6000/1000= 6km

speed for the first race = 6/2

speed = 3km/hr

for the second race

speed = distance/time

3 = 18/time

cross multiply

3* t = 18

divide both sides by 3

t = 18/3

t = 6 hours

Answer:

Ronald will take 6 hours to complete the 18 km race if he maintains this speed.

Step-by-step explanation:

6000m in 2h = 6km in 2h

multiply by 3:

18km in 6h

Have a nice day!