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3 years ago

What is the mid point in the photo?

Mathematics

1 answer:

Irina18 [472]3 years ago

4 0

Step-by-step explanation:

$midpoint = ( \frac{ \frac{1}{3} - \frac{7}{3} }{2} , \frac{ \frac{5}{12} + \frac{7}{12} }{2} )$

$= ( \frac{ \frac{ - 6}{3} }{2} , \frac{ \frac{12}{12} }{2} )$

$= ( \frac{ - 2}{2} , \frac{1}{2} )$

$= ( - 1,0.5)$

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An integer is chosen at random from first hundred natural numbers. The probability that the integer chosen the multiple of 5 is

Ede4ka [16]

Answer: 0.2

Step-by-step explanation:

The first hundred natural numbers are 1 to 100.

Now, the numbers that are multiples of 5 are the numbers that end in 5 or 0, so we have:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100

So in the range, we have 20 multiples of 5.

Now, when we select at random, each number has the same probability of being selected, then the probability of randomly selecting a multiple of 5 is equal to the number of multiples of 5 divided the total number of options in the set.

we have 20 multiples of 5, and in the set we have a total of 100 numbers, then the probability is:

P = 20/100 = 0.2

7 0

3 years ago

Construct a 95% prediction interval for y given x=-3.5, ^y= 2.097x - .552 and se= .976

Rasek [7]

Answer:

95% Confidence interval for y

= (-9.804, -5.979)

Lower limit = -9.804

Upper limit = -5.979

Step-by-step explanation:

^y= 2.097x - 0.552

x = -3.5

Standard error = 0.976

Mathematically,

Confidence Interval = (Mean) ± (Margin of error)

Mean = 2.097x - 0.552 = (2.097×-3.5) - 0.552 = - 7.8915

(note that x=-3.5)

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value for 95% confidence interval = 1.960

Standard Error of the mean = 0.976

95% Confidence Interval = (Mean) ± [(Critical value) × (standard Error of the mean)]

CI = -7.8915 ± (1.960 × 0.976)

CI = -7.8915 ± 1.91296

95% CI = (-9.80446, -5.97854)

95% Confidence interval for y

= (-9.804, -5.979)

Hope this Helps!!!

3 0

3 years ago

A state lottery randomly chooses 7 balls numbered from 1 through 45 without replacement. You choose 7 numbers and purchase a lot

Firdavs [7]

Answer:

Answer is D - No, because the probability of success is different for each trial.

Step-by-step explanation:

As given-

A state lottery randomly chooses 7 balls numbered from 1 through 45 without replacement.

You choose 7 numbers and purchase a lottery ticket.

Determine whether this experiment is binomial.

Answer is D - No, because the probability of success is different for each trial.

5 0

4 years ago

Find the volume of this sphere. Please help

natulia [17]

Hello there!

We've already given the formula so I will not be adding it here.

We are also given that π = 3 for this problem.

r is defined as 'radius'

Radius is a point from center to one of endpoints.

Look at the image, the radius is given as 7cm.

From the information we gathered:

π = 3
r = 7

Substitute in the formula.

$\displaystyle \large{ V = \frac{4}{3} (3) {(7)}^{3} }$

Cancel 3 out.

$\displaystyle \large{ V = 4{(7)}^{3} }$

Evaluate 7^3

$\displaystyle \large{ V = 4(343) }$

Multiply

$\displaystyle \large{ V = 1372 }$

Therefore, the volume is 1372.

Let me know if you have any questions!

Topic: Surface Area and Volume - Sphere's Volume

8 0

3 years ago

Read 2 more answers

Miss Hutson bought a 14&3 4th pound turkey at $1.84 per pound.what was the cost of the turkey

Morgarella [4.7K]

We have been given that Miss Hutson bought a $14\frac{3}{4}$ pound turkey at $1.84 per pound. We are asked to find the cost of turkey.

To find the total cost of the turkey, we will multiply total pounds of turkey by cost of per pound of turkey.

$\text{Cost of the turkey}=14\frac{3}{4}\times \$1.84$

Let us convert $14\frac{3}{4}$ into decimal form.

$14\frac{3}{4}=14.75$

$\text{Cost of the turkey}=14.75\times \$1.84$

$\text{Cost of the turkey}=\$27.14$

Therefore, the cost of the turkey would be $\$27.14$ .

3 0

3 years ago