A number is 5. Do you know it’s square?

Rent and other associated housing costs, such as utilities, are an important part of the estimated costs of attendance at colleg

Anton [14]

Answer: $(336.49,\ 355.51)$

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : $n= 314$ , which is a large sample , so we apply z-test .

Sample mean : $\overline{x}=346$

Standard deviation : $\sigma= 86$

Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

Now, a confidence interval at the 95% level of confidence will be :-

$346\pm(1.96)\dfrac{86}{\sqrt{314}}\\\\\approx346\pm9.51\\\\=(346-9.51,\ 346+9.51)\\\\=(336.49,\ 355.51)$

8 0

2 years ago

Solve: <br> m m Fine m Graph is in picture :)

Anastasy [175]

Answer:

50

Step-by-step explanation:

if you take 138 witch equals the whole angle and subtract the second part of the abngle 88 we get 50 equaling the unknown angle

6 0

2 years ago

There is 1/4 of a birthday cake left over. If 4 friends share it equally, what fraction of the entire cake will each friend rece

Natalka [10]

Answer:

they both get 0.5% or 1/8 pieces

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Write an equation for each line.

Tems11 [23]

Answer:

Step-by-step explanation:

Equation of blue line:

blue line is parallel to y-axis

⇒ x = 5

Equation of green line:

Green line is parallel to x-axis.

y = 2

Equation of red line:

At y-intercept x = 0. Point on red line is (0,5)

So, y-intercept = 5

y = mx + b Here, m is slope any b is y-intercept.

y = mx + 5

Now, choose any other point in red line. ((1,7)

Substitute this value in the above equation and we can find m

7 = m*1 + 5

7 - 5 = m

m = 2

y = 2x + 5

Equation of black line:

Black line and red line are parallel and so, they have same slope.

y = 2x + b

y-intercept (0,-6) ; b = -6

y = 2x - 6

5 0

1 year ago

A trust fund worth $25,000 is invested in two different portfolios, this year, one portfolio is expected to earn 5.25% interest

OLEGan [10]

Answer:

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

Let

x ------> the amount of money that should be invested at the rate of 5.25%

25,000-x -----> the amount money that should be invested at the rate of 4%

in this problem we have

$t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150$

substitute in the formula above

$I=P_1(r_1t)+P_2(r_2t)$

$1,150=x(0.0525*1)+(25,000-x)(0.04*1)$

Solve for x

$1,150=0.0525x+1,000-0.04x$

$0.0525x-0.04x=1,150-1,000$

$0.0125x=150$

$x=\$12,000$

$|$25,000-x=\$13,000$

therefore

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

6 0

2 years ago

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