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NARA [144]
3 years ago
14

How much money do winners go home with from the television quiz show Jeopardy? To determine an answer, a random sample of winner

s was drawn and the amount of money each won was recorded and listed below. Estimate with 96% confidence the mean winning's for all the show's players.
Mathematics
1 answer:
Len [333]3 years ago
7 0

Step-by-step explanation:

Given:

x = 26214.47

s = 5969.25

n = 15

t = 2.046

The confidence interval is:

CI = x ± t (s / √n)

CI = 26214.47 ± 2.046 (5969.25 / √15)

CI = (23061.06, 29367.88)

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If the statue liberty is 305 feet tall and a model is 1/100 of the actual size how tall is the model?
Goryan [66]
It would be 3.05 feet tall
5 0
3 years ago
A little monkey had some peaches. On the first day he decided to keep ½ of his peaches. He gave the rest away. Then he ate one.
Hunter-Best [27]

Answer:

22

Step-by-step explanation:

Working backwards

1+1 then x2 is 4

4+1 then x2 is 10

10+1 then x2 is 22

8 0
2 years ago
If a=(-1, -3) and b=(11, -8) what is the length of ab?
professor190 [17]

Answer: D.  The length is 13 units.

Step-by-step explanation:

(-1, -3 )    Find the difference between the x values and y values.

 (11, -8)  

-3-(-8) = 5

-1-11 =   -12    now find the  absolute values.

The absolute value of 5 is 5 .  The absolute value of  -12 is 12.

Now use the Pythagorean Theorem formula a^2 + b^2 =c^2  where c square is the length between AB.

5^2 + 13^2 = C^2

25 + 144 = c^2  

169=c^2

c= 13

8 0
3 years ago
Find values of  that satisfy the equation for 0º    360º and 0  θ  2 . Give answers in degrees and radians.
suter [353]

Answer:

\theta = 30^\circ, 330^\circ

\theta = \frac{\pi}{6}, \frac{11\pi}{6}

Step-by-step explanation:

Given [Missing from the question]

Equation:

cos\theta = \frac{\sqrt 3}{2}

Interval:

0 \le \theta \le 360

0 \le \theta \le 2\pi

Required

Determine the values of \theta

The given expression:

cos\theta = \frac{\sqrt 3}{2}

... shows that the value of \theta is positive

The cosine of an angle has positive values in the first and the fourth quadrants.

So, we have:

cos\theta = \frac{\sqrt 3}{2}

Take arccos of both sides

\theta = cos^{-1}(\frac{\sqrt 3}{2})

\theta = 30 --- In the first quadrant

In the fourth quadrant, the value is:

\theta = 360 -30

\theta = 330

So, the values of \theta in degrees are:

\theta = 30^\circ, 330^\circ

Convert to radians (Multiply both angles by \pi/180)

So, we have:

\theta = \frac{30 * \pi}{180}, \frac{330 * \pi}{180}

\theta = \frac{\pi}{6}, \frac{33 * \pi}{18}

\theta = \frac{\pi}{6}, \frac{11 * \pi}{6}

\theta = \frac{\pi}{6}, \frac{11\pi}{6}

8 0
2 years ago
The ratio of men to women working for a company is 5 to  8 . If there are 364 employees total, how many men work for the company
uysha [10]
5 'parts' of the total company staff are men, and 8 'parts' are women.
That's 13 'parts' all together, comprising 364 people.
So each 'part' is 364/13 = 28 people.

Men = 5 'parts' = 5 x 28 = <u>140 men</u>

Women = 8 'parts' = 8 x 28 = <u>224 women</u>

<em><u>Check:</u></em>

140/224 = 70/112 = 35/56 =<em> </em><em>5/8</em>

140 + 224 = <em>364</em>

yay !
3 0
3 years ago
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