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2 years ago

10. The sum of three consecutive integers is 45. What are the three integers?

Mathematics

1 answer:

spayn [35]2 years ago

8 0

Answer:

Step-by-step explanation:

The consecutive integers iincrease by 1. So the middle integer of an odd number of consecutive integers is their mean. Three is an odd number of integers.

45:3 = 15 ← middle number

15 - 1 = 14 ← the smallest number

15 + 1 = 16 ← the largest number

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Write a statement that correctly interprets the confidence interval. Choose the correct answer below. A. One has 90% confidence

poizon [28]

Answer:

B. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

Step-by-step explanation:

A. One has 90% confidence that the sample proportion is equal to the population proportion.

Confidence interval gives an interval estimate, not an equality

B. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

Ture.

C. One has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

Also true but One has 90% confidence is not good interpretation.

D. 90% of sample proportions will fall between the lower bound and the upper bound.

Lower bound and upper bound is given to estimate population proportion.

4 0

2 years ago

Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic

Andrei [34K]

Answer:

$\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

Step-by-step explanation:

Given the center of sphere is: (-2, 2, 3)

Passes through the origin i.e. (0, 0, 0)

To find:

The equation of the sphere ?

Solution:

First of all, let us have a look at the equation of a sphere:

$(x-a)^2+(y-b)^2+(z-c)^2=r^2$

Where ( $x,y,z$ ) are the points on sphere.

$(a, b, c)$ is the center of the sphere and

$r$ is the radius of the sphere.

Radius of the sphere is nothing but the distance between any point on the sphere and the center.

We are given both the points, so we can use distance formula to find the radius of the given sphere:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$

Here,

$x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2 =2 \\z_2 =3$

So, Radius is:

$r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}$

Therefore the equation of the sphere is:

$(x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}$

4 0

3 years ago

REPOST

melamori03 [73]

Answer:

5/48, 3/16, .5, .75, 13
1/5, .35, 12/25, .5, 4/5
-3/4, -7/10, 3/40, 8/10
-.65, -3/8, 5/16, 2/4

Step-by-step explanation:

5/48 = 1.0291666666 | 3/16 = .1875 the rest is obvious
1/5 = .2 | 12/25 = .48 | 4/5 = .8
-3/4 = -.75 | -7/10 = -.7 | 3/40 = .075 | 8/10 = .8
-3/8 = -.375 | 5/16 = .3125 | 2/4 = .5

5 0

2 years ago

Would someone be able to tell me how to factorise? step by step??

CaHeK987 [17]

1. Factor out the greatest common factor (GCF). (There will not always be one). 2. Count the number of terms.
3. Check to be sure each factor is prime, if not, repeat 1-3.
4. Check by multiplying the factors out to see if you get the original polynomial.

5 0

2 years ago

Read 2 more answers

What is the perimeter of rectangle JKLM?

egoroff_w [7]

Answer:

Step-by-step explanation:

7 0

2 years ago