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2 years ago

Please answer this correctly

Mathematics

1 answer:

atroni [7]2 years ago

7 0

Answer:

1/7

Step-by-step explanation:

The probability of picking an even number is 3/7.

Without putting the first card back, the probability of picking an even number again is 2/6.

$3/7 \times 2/6$

$= 6/42$

$=1/7$

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How to solve the inequality 1/5 ≤ x/15?

MAXImum [283]

Answer:

3 <_ x

Step-by-step explanation:

multiply both sides by 15

1/5 * 15 <_ x

15/5 <_ x

3 <_ x

8 0

2 years ago

Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed

vlabodo [156]

Answer:

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)

Step-by-step explanation:

Our sample size is 11.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 11-1 = 10$ .

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have $T = 1.812$

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{4}{\sqrt{11}} = 1.2060$

Now, we multiply T and s

$M = Ts = 1.812*1.2060 = 2.19/tex]For the lower end of the interval, we subtract the sample mean by M. So the lower end of the interval here is[tex]L = 97 - 2.19 = 94.81 = 94.8$ cm

For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is

$L = 97 + 2.19 = 99.19 = 99.2$ cm

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).

7 0

2 years ago

Jocelyn boils 24 eggs. From experience, she knows that the shell of any given egg has a 0.04 probability of cracking during the

Varvara68 [4.7K]

Probability of an egg coming out of the boiling process with a cracked shell:
$1-(1-0.04)^{24} = 0.6246$

4 0

1 year ago

Read 2 more answers

Calculate the slope.please help due in 2 hours

sergejj [24]

Answer:

Slope = 4

Step-by-step explanation:

Use any two pairs from the table of values, say (0, 3) and (2, 11).

Slope = ∆y/∆x

Slope = $\frac{11 - 3}{2 - 0}$

Slope = $\frac{8}{2}$

Slope = 4

3 0

2 years ago

Four positive whole numbers add up to 39. One of the numbers is a Multiple of 7. The other three numbers are equal. Work out the

MrMuchimi

4 positive whole numbers add up to 39. That means there are 4 factors. One is a multiple of 7. (7,14,21,28,35) The other 3 are equal. Let X equal the multiple of 7, and let Y equal the numbers that are equal.
39=x+3y
Now, we have to fill in the possible multiples of 7.

39=7+3y
39-7=7-7+3y
32=3y
32/3=3y/3
10&2/3=y
When we use 7, the 3 numbers are not equal whole numbers. Let's try the next multiple.
39=14+3y
39-14=14-14+3y
25/3=3y/3
5=y
Yes, that is a whole positive number. It's correct.

We have to plug in the other multiples just to check, but I'll leave out the work.

39=21+3y
6=y
Yes, that is a possible answer.

39=28+3y
3&2/3=y The 3 numbers are not whole numbers.

39=35+3y
1&1/3=y The 3 numbers are not whole numbers.

In conclusion, the TWO possible answers are 39=14+3(5) and 39=21+3(6). If we multiply all four numbers for the first one then it equals 1750, and the second one equals 4536. Not sure what exactly your looking for, but I answered the best I could! Hope this helped. :)

3 0

2 years ago