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3 years ago

A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.

Mathematics

1 answer:

Radda [10]3 years ago

4 0

Answer:

it is 100 because it is bigger

Step-by-step explanation:

because it is bigger

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Which angles are supplementary angles?

7nadin3 [17]

Answer:

KJM and KJH

Step-by-step explanation:

Supplementary angles are angles that equal 180 degrees

7 0

3 years ago

Read 2 more answers

Formulating and solving inverse variation functions

andreyandreev [35.5K]

Answer:

See below.

Step-by-step explanation:

A. k = 50 * 3.6 = 180.

B. The equation is y = 180/x.

C. When x = 75, y = 180/75

= 2.4.

D. Checking C: 2.4 = 180/75 = 2.4. Correct

7 0

3 years ago

If EF - 3x - 11, FG = 4x-10, and EG - 28, find the values of x, EF, and FG. The drawing is not to scale.

Gnom [1K]

Answer:

Part 1) $x=7$

Part 2) $EF=10\ units$

Part 3) $FG=18\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the value of x

we know that

$EG=EF+FG$ ---> by addition segment postulate

we have

$EG=28\ units\\EF=3x-11\\FG=4x-10$

substitute

$28=(3x-11)+(4x-10)$

solve for x

$28=7x-21$

$7x=28+21$

$7x=491$

$x=7$

step 2

Find the value of EF

$EF=(3x-11)$

substitute the value of x

$EF=3(7)-11=10\ units$

step 3

Find the value of FG

$FG=(4x-10)$

substitute the value of x

$FG=4(7)-10=18\ units$

4 0

4 years ago

In a population of similar households, suppose the weekly supermarket expense for a typical household is normally distributed wi

Rina8888 [55]

Answer:

P(Y ≥ 15) = 0.763

Step-by-step explanation:

Given that:

Mean =135

standard deviation = 12

sample size n = 50

sample mean $\overline x$ = 140

Suppose X is the random variable that follows a normal distribution which represents the weekly supermarket expenses

Then,

$X \sim N ( \mu \sigma)$

The probability that X is greater than 140 is :

P(X>140) = 1 - P(X ≤ 140)

$P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{140-135}{12})$

$P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{5}{12})$

$P(X>140) = 1 - P( Z\leq0.42)$

From z tables,

$P(X>140) = 1 - 0.6628$

$P(X>140) = 0.3372$

Similarly, let consider Y to be the variable that follows a binomial distribution of the no of household whose expense is greater than $140

Then;

$Y \sim Binomial (np)$

$Y \sim Binomial (50,0.3372)$

∴

P(Y ≥ 15) = 1- P(Y< 15)

P(Y ≥ 15) = 1 - ( P(Y=0) + P(Y=1) + P(Y=2) + ... + P(Y=14) )

$P(Y \geq 15) = 1 - \begin {pmatrix} ^{50}_0 \end {pmatrix} (0.3372)^0 (1-0,3372)^{50} + \begin {pmatrix} ^{50}_1 \end {pmatrix} (0.3372)^1 (1-0,3372)^{49} + \begin {pmatrix} ^{50}_2 \end {pmatrix} (0.3372)^2 (1-0,3372)^{48} +... + \begin {pmatrix} ^{50}_{50{ \end {pmatrix} (0.3372)^{50} (1-0,3372)^{0}$

P(Y ≥ 15) = 0.763

7 0

3 years ago

Central Allen High School's girls golf team has won 76% of its games this year. The team has won 19 games. How many total games

lawyer [7]

Answer: 25 games

Step-by-step explanation:

Take the fractions 76/100 and 19/x

Cross multiply. 76 times x equally 76x and 100 times 19 equals 1900.

Divide 76x by 76 which equals just x.

Divide 1900 by 76 which equals 25.

x=25

8 0

3 years ago