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anastassius [24]
3 years ago
6

Randy needs to save $2,550 for a vacation. He has 6 months to save the money. How much money must he save each month​

Mathematics
2 answers:
alukav5142 [94]2 years ago
8 0

Answer:425

Step-by-step explanation:

Vladimir79 [104]2 years ago
6 0

Answer:

2550/6= 425

he has to save 425 each month

Step-by-step explanation:

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A researcher at a major clinic wishes to estimate the proportion of the adult population of the United States that has sleep dep
Thepotemich [5.8K]

Answer: n = 600.25 ≈ 601 ( sample size)

the minimum sample size of the adults in United State who have sleep deprivation  is 601

Step-by-step explanation:

Given that;

the confidence level = 95% = 0.05

the Margin of error E = 4% = 0.04

∴  level of significance ∝ = 1 - C.L

∝ = 1 - (95/100)

= 0.05

Z∝/2 = 0.05/2 = 0.025

Z-critical value at 95% confidence level is OR level of significance at 0.025 = 1.96 (z-table)

Now to calculate the sample size, we say

n = (Z(critical) / M.E )² P ( 1 - P)

now we substitute

n =  (1.96 / 0.04)² × 0.5 ( 1 - 0.5)

n = 2401 × 0.5 × 0.5

n = 600.25 ≈ 601

Therefore the minimum sample size of the adults in United State who have sleep deprivation  is 601

6 0
3 years ago
Suppose they decide to put fencing around both gardens,but not between the gardens.If b=10 how much fencing will they need?Justi
galina1969 [7]
B + b + b + b + b + 2b = 7b (add all the variables up )
7 x 10 = 70 ( since b = 10 substitute)
8 0
3 years ago
What is the vertex of the function x^2-6x+8=0 ?
3241004551 [841]
-6 / 2 = -3 so
x^2 - 6x + 8 is
(x - 3)^2 -9 + 8

= (x - 3)^2 - 1


the vertex is at (3,-1)
5 0
3 years ago
A species of catfish, can generate up to 350 voltsWrite an inequality to represent the amount of electricity generated by the ca
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Catfish≤350 because the catfish cannot generate more than 350 volts.
8 0
3 years ago
Which is an equation of the line that passes through<br> the points (5, 2) and (10, -3)?
sashaice [31]

Answer:

y = -x + 7

Step-by-step explanation:

Hi there!

We are given the following points:
(5,2) and (10,-3)

We want to find the equation of the line that passes through these 2 points

There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b (m is the slope and b is the y intercept).

First, let's find the slope of the line.

The slope can be calculated from 2 points using the equation \frac{y_2-y_1}{x_2-x_1}, where (x_1, y_1) and (x_2, y_2) are points

We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.

x_1=5\\y_1=2\\x_2=10\\y_2=-3

Now substitute these values into the formula to find the slope

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-3-2}{10-5}

Simplify

m=\frac{-5}{5}

Divide

m=-1

The slope of the line is -1

We can substitute this value as m in y=mx+b.

Here's the equation of our line so far:

y=-x+b

Now we need to find b

As the equation passes through the points (5,2) and (10,-3), we can use either point to find the value of b

Taking (5,2) for example:

Substitute 5 as x and 2 as y

2=-5+b

Add 5 to both sides

7=b

Substitute 7 as b in the equation

y = -x + 7

Hope this helps!

See more on this topic here: brainly.com/question/27166723

4 0
2 years ago
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