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alexdok [17]
1 year ago
9

Researchers are studying two populations of sea turtles. In population D, 30 percent of the turtles have a shell length greater

than 2 feet. In population E, 20 percent of the turtles have a shell length greater than 2 feet. From a random sample of 40 turtles selected from D, 15 had a shell length greater than 2 feet. From a random sample of 60 turtles selected from E, 11 had a shell length greater than 2 feet. Let pˆD represent the sample proportion for D, and let pˆE represent the sample proportion for E.
What is the probability that pˆD−pˆE is greater than 0.1917?
Mathematics
1 answer:
just olya [345]1 year ago
8 0

Answer:

Step-by-step explanation:

The probability is obtained by calculating the z score,  

<u>(pˆD−pˆE) - (PD - PE)</u>

      0.0914  

<u>10.1917-0.1 </u>

0.0914           = 1.0029

P(z > 1.0029) = 1 - P(z ≤ 1.0029)

The probability is obtained from the z distribution table,

P(Z > 1.0029) = 1-0.8420 = 0.1580

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I do not understand how to do this at all. Will someone please help me???
andrew-mc [135]

Step-by-step explanation:

Part A: The temperature must be greater than -40, and lower than 140.  -40 < T < 140

Part B: The graph is a number line between -40 and 140, with open circles at -40 and 140.  The solutions are temperatures at which the gas will remain liquid.

Part C: No, -49 is less than -40, so the gas would have frozen.

4 0
2 years ago
Uma empresa transporta armários para escritórios para uma localidade distante 425km. Seu custo é de R$2,10 por km rodado. Quando
MariettaO [177]

Answer:

1.  <u>$14.88</u>

2.  <u>$12.40</u>

Step-by-step explanation:

An english translation:

<em>A company transports office cabinets to a location 425km away. Its cost is R $ 2.10 per km traveled. When the cabinets are assembled, the vehicle's capacity is 60 units. When they are disassembled the capacity increases 6 times. We ask: 1- What is the cost per assembled cabinet? 2- What is the savings per cabinet, when these are taken apart.</em>

<em />

<u>Solution:</u>

425 km with 2.10 per km means:

425 * 2.10 = $892.50 total cost

Now, when assembled, there goes 60 cabinets, so cost per assembled cabinet is:

<u>Cost per assembled cabinet = 892.5/60 = $14.875 = $14.88</u>

<u></u>

The capacity of 60 after disembling, it becomes:

60 * 6 = 360

So, cost per cabinet becomes:

892.5/360 = <u>$2.48</u>

The savings is how much you save up if they were assembled:

14.88 - 2.48 = <u>$12.40</u>

<u>Savings = $12.40</u>

8 0
2 years ago
A random sample of 65 high school seniors was selected from all high school seniors at a certain high school. The following scat
ladessa [460]

The residual value comes out to be 2.94 cm and height is 157.06 cm

<u>Explanation:</u>

The regression equation is calculated at the first step.

height = 105.08 plus 2.599 multiply foot length

At foot length = 20cm, height = 105.08 plus 2.599 multiply 20

= 157.06 cm

Residual = Actual minus predicted value = 160 minus 157.06

=2.94 cm

B) The residual standard deviation generally gives  a sense of the goodness of fit of goodness of regression equation on our data. The magnitude tells us that how much will be predicted values from model will vary from actual values. the linear model is justified.

5 0
1 year ago
The Leaning Tower of Pisa in Italy was built between 1173 and 1350. A. Write an equation in slope-intercept form for the yellow
mote1985 [20]

Answer:

The answer is below

Step-by-step explanation:

From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).

a) The equation of a line in slope intercept form is given by y = mx + b, where m is the slope and b is the intercept. Also, the equation of line passing through

(x_1,y_1)\ and\ (x_2,y_2)\ is:\\\\y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)

Hence since it passes through  (7.75, 0) and (10.75, 42), the equation is:

y-0=\frac{42-0}{10.75-7.75} (x-7.75)\\\\y=14(x-7.75)\\\\y=14x-108.5

b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:

y = 14x - 108.5

56 = 14x - 108.5

56 + 108.5 = 14x

164.5=14x

x = 164.5/14

x = 11.75

When the tower is 56 meters tall, the top of the tower is 11.75 m off center

5 0
2 years ago
Chen is baking muffins and banana bread for a brunch buffet. He needs 3 and one-fifth cups of flour to make the muffins and 3 an
Tju [1.3M]
Answer:

7 cups of flour

reason:

to find how much flour is needed, first you need to combine the two fractions.
to add the fractions, you first have to find a common denominator, which in this case is 15
multiply 1/5 by 3 to get 3/15, and 2/3 by 5 to get 10/15. combined, this is 13/15
since the answer is looking for the best estimate, you take the overall amount of flour, which would be 6 13/15, which is closer to 7 cups than 6

(I may be wrong this is just how I did it)
3 0
2 years ago
Read 2 more answers
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