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Stels [109]
3 years ago
7

Dan's grandmother gave him $30 for his birthday. He decides to put $20 in a box for saving. Every week his parents give him $5 f

or his allowance. He decides to start adding $4 of his allowance to the box every week. What is the regression line for predicting the amount of money (ŷ) that will be in his box from x weeks of adding to the box?
Mathematics
1 answer:
kozerog [31]3 years ago
7 0

Answer:

y=4\cdot{x}+20

Step-by-step explanation:

Let the regresssion line be linear because of a constant amount of money coming in. Let y be the total amount of money in the box and x the weeks of adding to the box:

y=m\cdot{x}+c

We know that he puts $20 in the box from his birthday and $4 every week for x weeks. Therefore the total amount of money will be:

y=4\cdot{x}+20

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Nicole drove 156 miles to her gradmothers house last week for family reunion.Her sister drove 5/4 of the distance to get to the
nikitadnepr [17]
156 more miles.

My Work:
The Sister drove 5/4 of 156 miles. <u />The <u />"of" stands for multiplication. 5/4 * 156/1
<u />After we solve the equation, we learn that the Sister drove 195 miles, which would mean that the sister probably drove too far, leaving Nicole to drive back for them.
Because Nicole is driving the rest of the 195-156 miles, if we use the triangle sum method from elementary school, we can flip the answer to 195-156 with 156 and know that the Sister drove 156 more miles than Nicole without having to know how far Nicole drove.
5 0
3 years ago
Allen runs at an average rate of 9 mi/hr and walks at a average rate of 3 mi/hr. Write an equation in standard form to relate th
den301095 [7]

Answer:

The equation would be 30=12+9x.

Allen will Run for 2 hours.

Step-by-step explanation:

Given:

Total Distance traveled = 30 miles

Average rate of walking = 3 mi/hr

Average rate of running = 9 mi/hr

Time for walking = 4 hours

W need to find the time for running.

Solution:

Let Number of hrs required for running be 'x'.

Total Distance traveled is equal Distance Traveled in walking plus Distance traveled in Running

But Distance is equal Rate multiplied by Time.

Framing in equation form we get;

Hence Total Distance Traveled = Rate of walking × Hours of walking + Rate of Running × Hours of running.

Substituting the values we get;

30 = 3\times4 +9x\\\\30=12+9x

Hence The equation would be 30=12+9x

Solving above equation we get;

9x=30-12\\\\9x=18\\\\x=\frac{18}{9}=2\ hrs

Hence Allen will Run for 2 hours.

8 0
3 years ago
A study reveals that 65% of homeowners in Omaha own a lawn mower. To test this claim, you form a sample of 500 homeowners in Oma
kotegsom [21]

Answer:

There is no enough evidence to reject the claim using a level of significance of 5%

Step-by-step explanation:

Let p be the true proportion of homeowners in Omaha who own a lawnmower. We want to test  

H_{0}: p = p_{0} = 0.65 vs H_{1}: p\neq 0.65 (two-tailed alternative).

We have a large sample of size n = 500 and a point estimate for p is \hat{p}=0.68. The test statistic is given by

Z=\frac{\hat{p}-p_{0}}{\sqrt{p_{0}(1-p_{0})/n}}=\frac{0.68-0.65}{\sqrt{0.65(1-0.65)/500}} where \sqrt{0.65(1-0.65)/500} is the standard error of \hat{p} when H_{0} is true. The observed value is z_{0} = 1.4064 which comes from a standard normal distribution. Because we want to use a level of significance of 5%, our rejection region is RR={z | z < -1.96 or z > 1.96} where -1.96 and 1.96 are the 2.5th and 97.5th quantiles respectively. Because 1.4064 does not belong to RR, we fail to reject the null hypothesis.

6 0
3 years ago
Find the sum of 100 + 222 + 333​
klasskru [66]

Answer:

655

Step-by-step explanation:

this feels like elementary school maths

7 0
3 years ago
Read 2 more answers
5.916 in word and expanded form
zzz [600]
Five. nine thousand and sixteen
5 0
3 years ago
Read 2 more answers
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