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Zigmanuir [339]
3 years ago
12

Solve this problem.

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
3 0

Answer:

Let x = the width of the smaller rectangle.

The length of the smaller rectangle is 2x - 1.

Area is A = lw

So the area of the smaller rectangle is A = (x)(2x - 1) = 2x^2 - x

Step-by-step explanation:

hope it helped

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Suppose taxi fare from Logan Airport to downtown Boston is known to be normally distributed with a standard deviation of $2.50.
Mariulka [41]

Answer:

95% Confidence interval for taxi fare:  ($20.5,$24.2)

Step-by-step explanation:

We are given the following data set: for fares:

$22.10, $23.25, $21.35, $24.50, $21.90, $20.75, and $22.65

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{156.5}{7} = 22.35

95% Confidence interval:

\bar{x} \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

22.35 \pm 1.96(\frac{2.5}{\sqrt{7}} ) = 22.35 \pm 1.85 = (20.5,24.2)

6 0
3 years ago
NEED HELP ASAP!!! What is the interquartile range of the data set? Enter the answer in the box. Key: 1|5 means 15 A stem-and-lea
monitta
To find the interquartile range, you will list the data that is presented in the stem and leaf plot.

Find the median of the data (30.5)

Find the median of the lower half and the median of the upper half.

Subtract these two values.

The data are <u>20</u>, 25, 30, 30, 31, 40, 41, <u>49</u>.
                            27.5                40.5
40.5-27.5 = 13

The interquartile range is 13.
3 0
3 years ago
Read 2 more answers
Which expressions have a value of 1/2?
tangare [24]
A) 8/16 = 1/2; YES

B) 2^-1 = 1/2^1 = 1/2; YES

C) 2^0 = 1; NO

D) 2^1 = 2; NO

Hope this helped!
7 0
3 years ago
Read 2 more answers
Jake and Hakeem's rocket's flight is approximately modeled by the equation h(t) = - 12t ^ 2 + 36t + 3 where h(t) is the height i
kumpel [21]

Answer:

30m

Step-by-step explanation:

<em>Since we are not told what to look for, we can find the maximum height reached by the rocket</em>

Given the rocket's flight approximately modeled by the equation

h(t) = - 12t ^ 2 + 36t + 3

At maximum height dh/dt = 0

dh/dt =  --24t + 36

0 = -24t + 36

24t = 36

t= 36/24

t = 1.5s

Get the max height

h(1.5) =  - 12 (1.5)^ 2 + 36(1.5) + 3

h(1.5) = - 12(2.25) + 54 + 3  

h(1.5) = -27 + 57

h(1.5) = 30m

Hence the maximum height reached by the rocket is 30m

8 0
3 years ago
If we know the values of the sine and cosine of x and y, we can find the value of cos(x - y) by using the ____ Formula for Cosin
kolbaska11 [484]

Answer:

\cos(x - y) = \cos(x)\cos(y) + \sin(x)\sin(y)

Step-by-step explanation:

Given

\cos(x - y)

Required

State the formula

From trigonometry identity, the formula of \cos(x - y) is:

\cos(x - y) = \cos(x)\cos(y) + \sin(x)\sin(y)

5 0
3 years ago
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