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Eddi Din [679]
3 years ago
5

Max and pedro both clean pools. Each charges a flat fee to clean a pool. Max cleans 12 pools in 8 hours and earned $270. Pedro c

leans 9 pools in 7.5 hours and earned $195.75. How many pools do they clean in per hour?
Mathematics
1 answer:
marshall27 [118]3 years ago
3 0

Answer:

The number of pools clean per hour is 1.5

Step-by-step explanation:

Given as :

The number of pools clean in 8 hours = 12

The number of pools clean in 7.5 hours = 9

Let The number of pools they clean per hours = x

I.e x = \frac{8}{12} +  \frac{7.5}{9}

Or, x =  \frac{24+30}{36}

Or, x =  \frac{54}{36}

∴   x =  \frac{3}{2}

I.e x = 1.5

Hence The number of pools clean per hour is 1.5 Answer

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Step-by-step explanation:

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Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate
Leviafan [203]

Answer:

Probability of having student's score between 505 and 515 is 0.36

Given that z-scores are rounded to two decimals using Standard Normal Distribution Table

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu (Mean) = 510, SD = 10.4 we have z(x) by using z(x) = (x - Mu)/SD as under:

In our case, we have x = 505 & 515

Approach 1 using Standard Normal Distribution Table:

z for x=505: z(505) = (505-510)/10.4 gives us z(505) = -0.48

z for x=515: z(515) = (515-510)/10.4 gives us z(515) = 0.48

Afterwards using Normal Distribution Tables and rounding the values to two decimals we find the probabilities as under:

P(505) using z(505) = 0.32

Similarly we have:

P(515) using z(515) = 0.68

Now we may find the probability of student's score between 505 and 515 using:

P(505 < x < 515) = P(515)-P(505) = 0.68 - 0.32 = 0.36

PS: The standard normal distribution table is being attached for reference.

Approach 2 using Excel or Google Sheets:

P(x) = norm.dist(x,Mean,SD,Commutative)

P(505) = norm.dist(505,510,10.4,1)

P(515) = norm.dist(515,510,10.4,1)

Probability of student's score between 505 and 515= P(515) - P(505) = 0.36

Download pdf
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Step-by-step explanation:

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Putting values

\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}

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Answer:

Whats the question?

Step-by-step explanation:

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Find the value of x<br><br>urgent!! plz help me! will give the brainliest​
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Answer:

x = 2

Step-by-step explanation:

\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2  only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0

→ Expand the brackets

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→ Simplify equation

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\frac{1}{2} (2-1)-\frac{1}{6} (2+1) = 0

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2 years ago
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