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Alenkinab [10]
3 years ago
7

A basket contains five apples and seven peaches. You randomly select one piece of fruit and eat it. Then you randomly select ano

ther piece of fruit. The first piece of fruit is an apple and the second is a peach.
Mathematics
1 answer:
IgorC [24]3 years ago
4 0

Answer:

Step-by-step explanation:

Total fruits T= 5+7 = 12

No. Of apple n(A) = 5

No. Of peaches n(P) = 7

P(A) 1st = n(A)/T = 5/12

P(P) 2nd = n(p)/(T-1) = 7/11

: P(A and P) = 5/12 × 7/11

= 35/132

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The product of a number and negative three is twenty-seven. Which of the following could represent this statement?
Arturiano [62]

Answer:

<h2>-3n = 27</h2>

Step-by-step explanation:

The product of a number and negative three is twenty-seven.

<em>n - </em><em>a number</em>

the product of a number and negative three: <em>n · (-3) = -3n</em>

5 0
3 years ago
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After 1 year, $800 deposited in a savings account with simple interest had earned $64 in
stepan [7]

Answer:

8%

Step-by-step explanation:

We will use the equation provided to solve this problem.

I=Prt

Lets plug in the values:

64=800x(1)     First, divide both sides by 800.

.08=x(1)         Multiply x by 1

x = .08

Now, we multiply .08 by 100 to get our interest rate:

(.08)100 = 8

The interest rate is 8%

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3 years ago
A. 3<br> B. -3/4<br> C. -1<br> D. 2
yawa3891 [41]
B
because rise over run
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Find the slope of the following graph and write ur results in the empty box.
Nataly [62]
Slope is 2 because it goes up by two and over by one
3 0
3 years ago
If Upper X overbar equals 62​, Upper S equals 8​, and n equals 36​, and assuming that the population is normally​ distributed, c
marishachu [46]

Answer:

The 99% confidence interval would be given by (58.373;65.627)    

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=62 represent the sample mean

\mu population mean (variable of interest)

s=8 represent the sample standard deviation

n=36 represent the sample size  

Part a: Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=36-1=35

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,35)".And we see that t_{\alpha/2}=2.72

Now we have everything in order to replace into formula (1):

62-2.72\frac{8}{\sqrt{36}}=58.373    

62+2.72\frac{8}{\sqrt{36}}=65.627    

So on this case the 99% confidence interval would be given by (58.373;65.627)    

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

3 0
3 years ago
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