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cestrela7 [59]
3 years ago
10

Mai is putting money into a checking account.Let Y represent the total amount of money in the account (dollars)Let X represent t

he number of weeks Mai has been adding money suppose that x and y are related by the equation 550+40x =y what is the change per week in the amount of money in the account ?
Mathematics
1 answer:
iragen [17]3 years ago
5 0

Answer:

The answer is $40.

Step-by-step explanation:

According to the equation given in the question, we can assume that 550 is constant and was there when Mai started saving into a checking account.

Then as x gets increased by 1 each week, the amount of change in the account per week is $40.

I hope this answer helps.

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The following data represent the pH of rain for a random sample of 12 rain dates in Tucker County, West Virginia. A normal proba
Sphinxa [80]

Answer:

Step-by-step explanation:

n = 12

Mean = (4.58 + 5.72 + 4.77 + 4.76 + 5.19 + 5.05 + 4.80 + 4.77 + 4.75 + 5.02 + 4.74 + 4.56)/12 = 4.8925

Standard deviation = √(summation(x - mean)²/n

Summation(x - mean)² = (4.58 - 4.8925)^2 + (5.72 - 4.8925)^2 + (4.77 - 4.8925)^2 + (4.76 - 4.8925)^2 + (5.19 - 4.8925)^2 + (5.05 - 4.8925)^2 + (4.80 - 4.8925)^2 + (4.77 - 4.8925)^2 + (4.75 - 4.8925)^2 + (5.02 - 4.8925)^2 + (4.74 - 4.8925)^2 + (4.56 - 4.8925)^2 = 1.122225

Standard deviation = √(1.122225/12

s = 0.31

a) Point estimate = sample mean = 4.8925

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

Margin of error = z × s/√n

Where

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 12 - 1 = 11

b) Since confidence level = 95% = 0.95, α = 1 - CL = 1 – 0.95 = 0.05

α/2 = 0.05/2 = 0.025

the area to the right of z0.025 is 0.025 and the area to the left of z0.025 is 1 - 0.025 = 0.975

Looking at the t distribution table,

z = 2.201

Margin of error = 2.201 × 0.31/√12

= 0.197

95% confidence interval = 4.8925 ± 0.197

Upper limit = 4.8925 + 0.197 = 5.0895

Lower limit = 4.8925 - 0.197 = 4.6955

We are 95% confident that the population mean of the rain water ph lies between 4.6955 and 5.0895

c) For 99% confidence level, z = 3.106

Margin of error = 3.106 × 0.31/√12

= 0.278

99% confidence interval = 4.8925 ± 0.278

Upper limit = 4.8925 + 0.278 = 5.1705

Lower limit = 4.8925 - 0.278 = 4.6145

We are 99% confident that the population mean of the rain water ph lies between 4.6145 and 5.1705

d) The interval gets wider as the confidence level is increased. This is logical since the test score is higher for 99% and therefore, increases the range of values. Since we want to be more confident, the range of values must be extended.

3 0
3 years ago
Riley rakes 1/6 of a lawn in 2/3 hour. How many lawns can Riley rake per hour?
Butoxors [25]

Answer:

Riley rakes 1/4 of the lawns per hour.

Step-by-step explanation:

It is given that,

Riley rakes 1/6 of a lawn in 2/3 hour.

We need to find how many lawns can Riley rake per hour.

In 2/3 hour Riley rakes 1/6 of a lawn

In 1 hour Riley rakes \dfrac{1}{6}\times \dfrac{3}{2}=0.25 = 1/4 of a lawn.

Hence, Riley rakes 1/4 of the lawns per hour.

4 0
2 years ago
The sum of two numbers is 70.<br> One number is 10 more the twice the other number.
GalinKa [24]

Answer:

20 and 50

Step-by-step explanation:

x + y = 70

y = 2x + 10

Use the substitution method:

y = 70 - x

y = 2x + 10

70 - x = 2x + 10

3x = 60

x = 20

x + y = 70

20 + y = 70

y = 50

<u>x = 20</u>

<u>y = 50</u>

<u />

4 0
3 years ago
2 sin(\theta )+ 1 = 0
Verizon [17]

Answer:


Step-by-step explanation:

\frac{7\pi }{6} ,\frac{11\pi }{6}

3 0
3 years ago
A tree was 5 feet tall. One year later, the tree was 13 feet tall. Write an equation and use mental math to find how many feet f
swat32
Just minus 5 feet from the new height which is 13ft, and the equation will be 13-5, and therefore the tree grew 8 feet
7 0
3 years ago
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