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3 years ago

Rewrite y=4-2x in slope-intercept form.

1 answer:

5 0

This is already in slope intercept from. because the slope is -2 and the y intercept is 4. so if you put it in stander form you would get y=-2x+4

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To estimate the mean score μ μ of those who took the Medical College Admission Test on your campus, you will obtain the scores o

Juliette [100K]

Answer: 0.4667

Step-by-step explanation:

According to 68–95–99.7 rule , About 99.7% of all data values lies with in 3 standard deviations from population mean ( $\mu$ ).

Here , margin of error = 3s , where s is standard deviation.

As per given , we have want our sample mean $\overline{x}$ to estimate μ μ with an error of no more than 1.4 point in either direction.

If 99.7% of all samples give an $\overline{x}$ within 1.4 , it means that

$3s=1.4$

Divide boths ides by 3 , we get

$s=0.466666666667\approx0.4667$

Hence, So $\overline{x}$ must have 0.4667 as standard deviation so that 99.7 % 99.7% of all samples give an $\overline{x}$ within 1.4 point of μ .

6 0

3 years ago

The net worthw(t) of a company is growing at a rate of′(t) = 2000−121t2dollarsper year, wheretis in years since 1990.(a) If the

stiv31 [10]

Answer:

The worth of the company in 2000 is $56,000.

Step-by-step explanation:

The growth rate of the company is:

$f'(t)=2000-12t^{2}$

To determine the worth of the company in 2000, first compute the change in the net worth during the period 1990 (<em>t</em> = 0) to 2000 (<em>t</em> = 10) as follows:

$\int\limits^{10}_{0} {2000-12t^{2}} \, dt =\int\limits^{10}_{0} {2000} \, dt-12\int\limits^{10}_{0} {t^{2}} \, dt=2000 |t|^{10}_{0}-12|\frac{t^{3}}{3}|^{10}_{0}\\=(2000\times10)-(4\times10^{3})\\=20000-4000\\=16000$

The increase in the company's net worth from 1990 to 2000 is $16,000.

If the company's worth was $40,000 in 1990 then the worth of the company in 2000 is:

Worth in 2000 = Worth in 1990 + Net increase in company's worth

$=40000+16000\\=56000$

Thus, the worth of the company in 2000 is $56,000.

4 0

3 years ago

ZE is the angle bisector of AngleYEX and the perpendicular bisector of Line segment G F. Line segment G X is the angle bisector

frozen [14]

Answer:

Point A is the center of the circle that passes through points E, F, and G and the center of the circle that passes through points X, Y, and Z.

Step-by-step explanation:

A is the intersection of angle bisectors, so is the incenter of triangle EFG. It is also the intersection of the perpendicular bisectors of the sides of triangle EFG, so is the circumcenter.

The altitudes at X, Y, and Z are perpendicular to sides EF, EG, and FG, and pass through the incenter, so X, Y, Z are points on the incircle.

A is the center of circles through E, F, and G, and through X, Y, and Z.

6 0

3 years ago

Read 2 more answers

Miss Krin has $300 deducted from her checking account every month for her car payment she also has $150 deducted every month for

n200080 [17]

Did the question mention what her current checking account balance was ?

5 0

2 years ago

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what is the base area of a pyramid with a volume of 72m^3 and a height of 12m solve for the base area

yawa3891 [41]

The area of a triangle can be found using the formula 1/2bh, where the variable b represents the value of the base and the variable h represents the value of the height.

4 0

3 years ago