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Harman [31]
3 years ago
9

13. Suppose the probability of passing a driving test is 65%. (a) On a certain afternoon 15 people are tested. (i) What is the e

xpected number of people who pass
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
8 0

Answer: 9

Step-by-step explanation:

Based on the information given in the question, the expected number of people who pass will be calculated as:

= Probability of passing the driving test × Number of people tested

= 65% × 15

= 0.65 × 15

= 9.75

Therefore, expected number of people who pass is 9.

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Figure ABCD is transformed to obtain figure A′B′C′D′:
xz_007 [3.2K]

Answer:

<u>Part A</u>

  1. Reflect over the y-axis:  (x, y) → (-x, y)
    A (-4, 4) → (4, 4)
    B (-2, 2) → (2, 2)
    C (-2, -1) → (2, -1)
    D (-4, 1) → (4, 1)
  2. Shift 4 units down:  (x, y-4)
    (4, 4-4) → A' (4, 0)
    (2, 2-4) → B' (2, -2)
    (2, -1-4) → C' (2, -5)
    (4, 1-4) → D' (4, -3)

<u>Part B</u>

Two figures are <u>congruent</u> if they have the same shape and size.  (They are allowed to be rotated, reflected and translated, but not resized).

Therefore, ABCD and A'B'C'D' are congruent.  They are the same shape and size as they have only be reflected and translated.

3 0
2 years ago
A data set includes 108 body temperatures of healthy adult humans having a mean of 98.3degrees°F and a standard deviation of 0.6
mylen [45]
<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Sample size : n=106

Sample mean : \overline{x}=98.3^{\circ}\ F

Standard deviation : \sigma= 0.69^{\circ}F

Significance level : \alpha: 1-0.99=0.01

Critical value : z_{\alpha/2}=2.576

Then , 99​% confidence interval estimate of the mean body temperature of all healthy humans will be :-

98.3\pm (2.576)\dfrac{0.69}{\sqrt{106}}\\\\\approx98.3\pm0.173=(98.3-0.173,\ 98.3+0.173)=(98.127,\ 98.473)

Since 98.6 is higher than the upper limit of the confidence interval (98.473), then this suggest that the mean body temperature could be lower then 98.6 degrees.

The best estimate of population mean is always the sample mean. \mu=\overline{x}=98.3^{\circ}\ F

7 0
3 years ago
How many square inches of crust would it take to cover the bottom of a pie dish with a 15 inch diameter ?​
Rus_ich [418]

Your answer would be <u>176.71</u>

hope this helps!

8 0
4 years ago
Please HELP ME!!!! This is really confusing. HOW DO I DO THIS?!?!?!
Svetradugi [14.3K]

Answer:

Flying Disc should be 72

Step-by-step explanation:

circumference = πd

<u>HD Coin</u>    C = 3π

                  9.42477796077

<u>Flying Disc</u>.  C = 23π
                      <u><em>72.2566310326</em></u>

<u><em>
</em></u><u>Jar Lid </u>      C = 8π

                  25.1327412287

<u>Flower Pot</u>     C = 15π

                        47.1238898038

8 0
1 year ago
I need help please and thank you
fomenos

Answer:

37.7 feet.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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