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Ivanshal [37]
3 years ago
7

A researcher is selecting lab rats for her experiment. She assigns each rat a number and picks numbers out of a hat while blindf

olded. The pool of rats from which she is drawing participants is composed of the following: 23 male albino rats 21 male spotted rats 35 female albino rats 11 female spotted rats If she reaches into the hat twice, what is the probability of choosing a male albino rat and then either a female albino rat or a male spotted rat
Mathematics
1 answer:
laiz [17]3 years ago
7 0

Answer: \dfrac{76}{89}

Step-by-step explanation:

The pool of rats from which the researcher is drawing participants is composed of the following:

23 male albino rats

21 male spotted rats

35 female albino rats

11 female spotted rats

Total rats = 23+21+35+11 =90

P(male\ albino)=\dfrac{23}{90}

After drawing first rat , total rats remained = 89

P(\text{either a female albino rat or a male spotted rat})=\dfrac{35+21}{89}=\dfrac{76}{89}

The probability of choosing a male albino rat and then either a female albino rat or a male spotted rat = \dfrac{76}{89}

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Answer:

Complete the sentences.

To find the z-score for the 56th percentile means that

the area above the z-score will be ✔ 0.44 and the

area below the z-score will be ✔ 0.56.

The z-score for the 56th percentile is ✔ 0.15

*you typed the question weird, but I hope this helps*

3 0
3 years ago
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Solve F(x) for the given domain.<br>F(x) = x² + 3x - 2<br>F(3)=____<br>a. 13<br>b. 16<br>C. 40​
Llana [10]

Answer:

B. 16

Step-by-step explanation:

F(3) means we must plug the number "3" into the equation for each x.

(3)^2 + 3(3) -2

9 + 9 - 2

16

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3 years ago
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An open box is made from a 20 cm x 3 cm piece of tin by cutting a square from each corner and folding up the edges. The area of
Marta_Voda [28]

Answer:

Length of the final sides: 6 cm and 16 cm

Step-by-step explanation:

The lengths of the sides of the original box are

L=20 cm\\W=10 cm

Later, a piece of tin is cut out from each corner; the piece cut out has the shape of the square: we can call the length of its generic side x. Therefore, the dimensions of the box will now be:

L'=L-2x\\W'=W-2x

We also know that the area is

A=96 cm^2

And the area can be written as product of length and width, therefore:

A=L'W'

So we find:

A=(L-2x)(W-2x)\\96=(20-2x)(10-2x)

Solving for x,

96=200-20x-40x+4x^2\\4x^2-60x+104=0\\\\x^2-15x-26=0

Which has two solutions:

x = 13 cm (this is larger than the initial length of the width, therefore we discard it)

x = 2 cm

So, the length of the new sides are

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7 0
3 years ago
Fifty percent of the customers who go to Sears Auto Center for tires buy four tires and 30% buy two tires. Moreover, 18% buy few
cestrela7 [59]

Answer:

A. Probability = 0.02

B. This is in a cumulative frequency table in the attachment I added

Step-by-step explanation:

A. We have these following probabilities

Prob(X=0) = 0.05

Prob(x= 2) = 0.30

Prob(X = 4) = 0.50

Prob(X < 2) = Prob(X=0) + prob(X=1)

0.18 = 0.05 + prob(X=1)

prob(X=1) = 0.13

A. Prob(x = 3)

= 1 - (0.05 + 0.13 + 0.30 + 0.50)

= 0.02

Probability of buying only 3 times = 2%

B. The cumulative frequency is in the attachment.

4 0
3 years ago
What is the value of y?
kondaur [170]

Answer:

a

Step-by-step explanation:

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4:y=40°

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