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2 years ago

A pool has a depth of 12 feet and a width of 14 feet.If it holds 1680 cubic feet of water, what is the length of the pool?

Mathematics

1 answer:

Novay_Z [31]2 years ago

3 0

12 x 14 x L = 1680

168 x L = 1680

L = 1680 / 168

L = 10 feet

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The score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.

Artemon [7]

Answer:

P(X $\geq$ 74) = 0.3707

Step-by-step explanation:

We are given that the score of golfers for a particular course follows a normal distribution that has a mean of 73 and a standard deviation of 3.

Let X = Score of golfers

So, X ~ N( $\mu=73,\sigma^{2}=3^{2}$ )

The z score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean = 73

$\sigma$ = standard deviation = 3

So, the probability that the score of golfer is at least 74 is given by = P(X $\geq$ 74)

P(X $\geq$ 74) = P( $\frac{X-\mu}{\sigma}$ $\geq$ $\frac{74-73}{3}$ ) = P(Z $\geq$ 0.33) = 1 - P(Z < 0.33)

= 1 - 0.62930 = 0.3707

Therefore, the probability that the score of golfer is at least 74 is 0.3707 .

3 0

2 years ago

Please everything that I put on this app no one has answered I’m just wasting points now

zloy xaker [14]

Answer:

QR=18

Step-by-step explanation:

QR/QO =QS/QP (proportionality theorem...OP||RS )

QR/39 =24/52

52QR = 24(39)

52Q2=936

QR=18

3 0

2 years ago

Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year. Thre

grigory [225]

Answer:

About $1,178,974

Step-by-step explanation:

Alright, the sequence we have right now is:

500,000 550,000 605,000

We want to find the common ratio, so let's divide 550,000 by 500,000 and see if we get the same value as 605,000 divided by 550,000:

550,000/500,000 = 1.1

605,000/550,000 = 1.1

Now, we know that r = 1.1. We also know the first term is: $a_1$ = 500,000.

We use the explicit rule of a geometric sequence:

$a_n=a_1*r^{n-1}$

Here, we want to find $a_{10}$ , which means that n = 10. We know r and $a_1$ , so we just plug in these values:

$a_{10}=500,000*(1.1)^{10-1}=500,000*(1.1)^{9}$ ≈ $1,178,973.85$ ≈ $1,178,974$

Thus, the answer is about $1,178,974.

Hope this helps!

6 0

3 years ago

Read 2 more answers

(11/x^2-25)+(4/x+5)= 3/x-5

Ierofanga [76]

$\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-------------------------------\\\\
\cfrac{11}{x^2-25}+\cfrac{4}{x+5}=\cfrac{3}{x-5}\implies \cfrac{11}{x^2-5^2}+\cfrac{4}{x+5}=\cfrac{3}{x-5}$

$\bf \cfrac{11}{(x-5)(x+5)}+\cfrac{4}{x+5}=\cfrac{3}{x-5}\impliedby 
\begin{array}{llll}
\textit{notice, LCD is }(x-5)(x+5)\\
\textit{so let's multiply all by it}\\
\textit{to toss the denominators}
\end{array}$

$\bf (x-5)(x+5)\left( \cfrac{11}{(x-5)(x+5)}+\cfrac{4}{x+5} \right)=(x-5)(x+5)\left( \cfrac{3}{x-5} \right)
\\\\\\
11+4(x-5)=3(x+5)\implies 11+4x-20=3x+15
\\\\\\
4x-9=3x+15\implies x=24$

8 0

2 years ago

What is the X-intercept

Vinvika [58]

x intercept is calculated by putting y = 0 in equation which gives us x = 3.

so option 4

6 0

2 years ago