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2 years ago

A rectangle has an area of 822.4 square miles and a base of 32 miles. What is the height?

Mathematics

2 answers:

AysviL [449]2 years ago

8 0

Divide 822.4/32=25.7

JulijaS [17]2 years ago

4 0

I believe it would be 25.7 miles. I just divide 822.4 by 32.

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The quantity q varies inversely with the square of m and directly with the product of r and x. When q is 2.5, mis 4 and the

saveliy_v [14]

Answer:

The constant of proportionality is 5.

Step-by-step explanation:

If the quantity q varies inversely with the square of m and directly with the product of r and x, then the variation equation is

$q=k\frac{rx}{m^2}$

When q=2.5, m= 4 and the

product of rx = 8.

We plug in this values to get;

$2.5=k(\frac{8}{4^2})$

$2.5=k(\frac{8}{16})$

$2.5=\frac{1}{2}k$

Multiply both sides by 2

$k=2.5\times 2=5$

The constant of proportionality is 5.

7 0

3 years ago

Read 2 more answers

An industry representative claims that 10 percent of all satellite dish owners subscribe to at least one premium movie channel.

Greeley [361]

Answer: 1) 0.6561 2) 0.0037

Step-by-step explanation:

We use Binomial distribution here , where the probability of getting x success in n trials is given by :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

, where p =Probability of getting success in each trial.

As per given , we have

The probability that any satellite dish owners subscribe to at least one premium movie channel. : p=0.10

Sample size : n= 4

Let x denotes the number of dish owners in the sample subscribes to at least one premium movie channel.

1) The probability that none of the dish owners in the sample subscribes to at least one premium movie channel = $P(X=0)=^4C_0(0.10)^0(1-0.10)^{4}$

$=(1)(0.90)^4=0.6561$

∴ The probability that none of the dish owners in the sample subscribes to at least one premium movie channel is 0.6561.

2) The probability that more than two dish owners in the sample subscribe to at least one premium movie channel.

= $P(X>2)=1-P(X\leq2)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\= 1-[0.6561+^4C_1(0.10)^1(0.90)^{3}+^4C_2(0.10)^2(0.90)^{2}]\\\\=1-[0.6561+(4)(0.0729)+\dfrac{4!}{2!2!}(0.0081)]\\\\=1-[0.6561+0.2916+0.0486]\\\\=1-0.9963=0.0037$

∴ The probability that more than two dish owners in the sample subscribe to at least one premium movie channel is 0.0037.

8 0

2 years ago

For a dilation with a scale factor less than 1, how do the angles and side lengths of the preimage relate to the angles and side

kakasveta [241]

Answer: option A

Step-by-step explanation:

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2 years ago

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HELP DUE IN 5 MInUTes ASAp

musickatia [10]

Answer:

The expression that calculates the speed in meters per second of an object that travels a distance of 100 m every 20 s is $\mathbf{Speed=\frac{100}{20} }$

Step-by-step explanation:

We are given:

Distance = 100 m

Time = 20 s

We need to find:

Speed

The formula used is: $Speed=\frac{Distance}{Time}$

Putting values and finding the expression

$Speed=\frac{Distance}{Time}\\Speed=\frac{100}{20}$

So, the expression that calculates the speed in meters per second of an object that travels a distance of 100 m every 20 s is $\mathbf{Speed=\frac{100}{20} }$

<em>Note: Kindly recheck your options, As option B is not written correctly.</em>

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2 years ago

1) Determine the period of the function in exact terms of pi: y = 6 sin (10x)

Reil [10]

I think b but I’m not completely sure

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2 years ago