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swat32
3 years ago
6

10 cards are numbered from 1 to 10 and placed in a box. One card is selected at random and is not replaced. Another card is then

randomly selected. What is the probability of selecting two prime numbers?
A. 2/15



B. 4/18



C. 7/90



D. 1/10
Mathematics
1 answer:
Nataliya [291]3 years ago
3 0

Answer:

2/15.

Step-by-step explanation:

The  prime numbers in the first 10 numbers are: 2, 3, 5, 7 . That is a total of 4.

Prob( first number drawn is prime) = 4/10 = 2/5.

Prob( second number drawn is prime) = 3/9 = 1/3.

Required probability  is 2/5 * 1/3

= 2/15.

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Write a unit rate for the situation. $1.98 for 6 bananas
USPshnik [31]
A unit rate is when you find a rate when one variable (or value) is equal to one.

Let's find the unit rate for the price of the bananas. 

1.98/6= 0.33

It is 33 cents for one banana. That is the unit rate. 

I hope this helps!
~kaikers
4 0
3 years ago
If you know that 7 - square root 5 is it root of a polynomial function
Kitty [74]

Answer:

As you must know, If one root of the polynomial 7-√5, the other will be 7+√5 i.e irrational root occur in pairs.

A polynomial function cannot have single unreal i.e irrational root. It always occur in pairs.

So , consider a polynomial function of any degree, if it has a root 7-√5, then it must have another root as 7+√5.

A polynomial can't have 7-√5 as a single root.  




4 0
3 years ago
Assume the general population gets an average of 7 hours of sleep per night. You randomly select 45 college students and survey
tekilochka [14]

Answer:

a) ii. This is a left-tailed test.

b) -1.59

c) -1.301

d) i. reject null hypothesis

e) Option i) The data supports the claim that college students get less sleep than the general population.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 7 hours

Sample mean, \bar{x} = 6.87 hours

Sample size, n = 45

Alpha, α = 0.10

Sample standard deviation, s =  0.55 hours

First, we design the null and the alternate hypothesis

H_{0}: \mu = 7\text{ hours}\\H_A: \mu < 7\text{ hours}

a) We use one-tailed(left) t test to perform this hypothesis.

b) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{6.87 - 7}{\frac{0.55}{\sqrt{45}} } =-1.59

c) Now,

t_{critical} \text{ at 0.10 level of significance, 44 degree of freedom } = -1.301

Since,                    

t_{stat} < t_{critical}

d) We fail to accept the null hypothesis and reject it.

We accept the alternate hypothesis and conclude that  mean number of hours of sleep for all college students is less than 7 hours.

e) Option i) The data supports the claim that college students get less sleep than the general population.

8 0
3 years ago
The square root of 27 lies between which two whole numbers
Agata [3.3K]

Answer:

5 and 6

Step-by-step explanation:

The square root of 27 is 5.19615242271  , which is more than 5 but less then 6, therefore is between 5 and 6.

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<em>Hope this helped (: Can you please mark as brainliest?</em>

7 0
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7 0
3 years ago
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