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3 years ago

PLEASE HELP! 20 POINTS AND WILL MARK BRAINLIEST!

Mathematics

1 answer:

lutik1710 [3]3 years ago

3 0

Answer:

210 meters

Step-by-step explanation:

x² + 32500 = 76600

x² = 76600 - 32500

x² = 44100

This already is a perfect square

x = 210

(x is a side, so can't be negative. Therefore only positive square root)

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If you earn $600 per month at your part-time job, and save 75% of that, how much

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Answer: 5400 dollars

Step-by-step explanation: 600x.75 then 450x12

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3 years ago

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Is my answer correct? if not please correct me

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Answer:

Yes it is

Step-by-step explanation:

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3 years ago

B) The number of volume of a cylinder is half of its number of the total surface area.

faust18 [17]

Answer:

$V=179.6cm^3$

Step-by-step explanation:

the volume of a cylinder is given by:

$V=\pi r^2h$

where r is the radius and h is the height.

and the surface area:

$SA=2\pi r^2+2\pi rh$

the first term is the area of the circles and the second term is the area of the body.

since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:

$V=\frac{1}{2}SA$

substitutig the equivalent expressions on each side:

$\pi r^2 h = \frac{1}{2} (2\pi r^2+2\pi r h)$

and we simplify and solve for the height (since is the value we don't know of the cylinder):

$\pi r^2 h = \pi r^2+\pi r h\\\pi r^2h-\pi rh=\pi r^2\\h(\pi r^2-\pi r)=\pi r^2\\h=\pi r^2/(\pi r^2-\pi r)$

we substitute the value of the radius $r=7cm$ , and we get:

$h=\pi (7cm)^2/(\pi (7cm)^2-\pi (7cm))\\h=153.938/(153.938-21.991)\\h=153.938/131.947\\h=1.1666cm$

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$V=\pi r^2h$

$V=\pi (7cm)^2(1.1666cm)\\V=179.6cm^3$

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3 years ago

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One of the questions Rasmussen Reports included on a 2018 survey of 2,500 likely voters asked if the country is headed in right

kap26 [50]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

553 - No

70 - Not Sure

384 - Yes

Total = (553 + 70 + 384) = 1007

Proportion who do think country is headed in the right direction :

P = yes / total = 384/1007 = 0.381

b.) Error margin at 95%

Margin of Error = Zcritical * √p(1-p)/n

1-p = 1 - 0.381 = 0.619

Zcritical at 95% = 1.96

Margin of error = 1.96 * √0.381(0.619)/1007

Margin of error = 0.030

C.)

95% confidence interval for heading in the right direction:

P ± margin of error

P ± 0.030

Lower boundary = 0.381 - 0.030 = 0.351

Upper boundary = 0.381 + 0.030 = 0.411

(0.351 ; 0.411)

D.)

Confidence interval for people who don't think :

P = 553 / 1007 = 0.549

Confidence interval = P ± margin of error

Error margin at 95%

Margin of Error = Zcritical * √p(1-p)/n

1-p = 1 - 0.549 = 0.451

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Margin of error = 1.96 * √0.549(0.451)/1007

Margin of error = 0.031

P ± margin of error

P ± 0.031

Lower boundary = 0.549 - 0.031 = 0.518

Upper boundary = 0.549 + 0.031 = 0.580

(0.518 ; 0.580)

E.)

The interval with smaller error margin is ; 0.030 (those who think country is headed in the right direction because sample proportion is farther from .5 / farther from 1)

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3 years ago

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larisa [96]

Answer:

Step-by-step explanation:

Rational numbers;

Numbers which can be written in the form of $\frac{p}{q}$ or repeating decimal numbers are the rational numbers.

Examples : 1, 2, $\frac{2}{3}$

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Numbers which can't be written in he form of a fraction or non repeating decimal numbers are the Irrational number.

Example: $\sqrt{8},\pi,\sqrt{\frac{8}{21} }$

From the given numbers,

Rational numbers: $\frac{11}{3}$ , 6.25, 0.01045, $\sqrt{\frac{16}{81} }$ , 0.424242....

Irrational numbers: $\sqrt{48}, \sqrt{\frac{3}{16} }$

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