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2 years ago

1. A 25% discount on a skateboard is $24.75. What is the cost before the discount?

Mathematics

1 answer:

klasskru [66]2 years ago

5 0

Answer:

1. $33

2. 25%

3. 20%

4. Masako

5. 53.20

6.57.46

Step-by-step explanation:

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For a given population of high school seniors, the Scholastic Aptitude Test (SAT) in mathematics has a mean score of 500 with a

tresset_1 [31]

Answer:

The probability that a randomly selected high school senior's score on mathematics part of SAT will be

(a) more than 675 is 0.0401

(b)between 450 and 675 is 0.6514

Step-by-step explanation:

Mean of Sat = $\mu = 500$

Standard deviation = $\sigma = 100$

We will use z score over here

What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be

(a) more than 675?

P(X>675)

$Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}$

Z=1.75

P(X>675)=1-P(X<675)=1-0.9599=0.0401

b)between 450 and 675?

P(450<X<675)

At x = 675

$Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}$

Z=1.75

At x = 450

$Z=\frac{x-\mu}{\sigma}\\Z=\frac{450-500}{100}$

Z=-0.5

P(450<X<675)=0.9599-0.3085=0.6514

Hence the probability that a randomly selected high school senior's score on mathematics part of SAT will be

(a) more than 675 is 0.0401

(b)between 450 and 675 is 0.6514

6 0

2 years ago

Clyde Cement wants to analyze a shipment of bags of cement. He knows the weight of the bags is normally distributed so he can us

avanturin [10]

The percentage of the bags of cement that would weigh less than 50 lbs. would be 50% because the normal distribution is symmetrical, and since the mean is your midpoint, then it would be 50% higher, and 50% lower.

3 0

2 years ago

How do i solve v=pi/3*r (squared)h for h

Colt1911 [192]

$V=\dfrac{\pi}{3}\cdot r^2h\ \ \ \ \ |multiply\ both\ sides\ by\ 3\\\\\pi r^2h=3V\ \ \ \ |\divide\ both\ sides\ by\ \pi r^2\\\\\boxed{h=\dfrac{3V}{\pi r^2}}$

3 0

2 years ago

Joe can cut and split a cord of firewood in 3 fewer hours than Dwight can. When they work together, it takes them 2 hours. How

aalyn [17]

Answer:

Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.

Step-by-step explanation:

Let us assume the time taken by Dwight to split a cord of firewood = K hrs

So, the per hour rate of Dwight = $(\frac{1}{K})$

As, Joe uses 3 LESS hours then Dwight.

So, the time taken by Joe to split a cord of firewood = (K- 3) hrs

So, the per hour rate of Joe = $(\frac{1}{K-3})$

Now, when both of them wok together, it takes them 2 hours.

So, the per hour rate of BOTH of them = $(\frac{1}{2})$

⇒ Per hour rate of ( Dwight + Joe) = $(\frac{1}{2} )$

$\implies (\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})$

Now, solving for the value of K , we get:

$(\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})\\\implies \frac{(K-3) + K}{K (K-3)} = (\frac{1}{2})\\\implies 2(2K -3) = K^2 - 3K\\\implies k^2 - 3K -4K +6 = 0\\\implies K^2 - 7K + 6= 0\\\implies K^2 - 6K - K + 6= 0\\\implies K(K-6) -1(K - 6)= 0\\\implies (K-6)(K-1) = 0$

Implies either K = 6 Or K = 1

But if K = 1, (K-3) = 1- 3 = -2 hours would be A CONTRADICTION.

⇒ K = 6 hours

Hence, Dwight will take 6 hours to finish the job alone and Joe will take (k-3) = (6-3) = 3 hours to finish the job alone.

8 0

2 years ago

A(r) is a function that gives the area of ta circle with the radius r. It can be written in an equation form as A(r)=3.14r^2. wh

notsponge [240]

A(r)=3.14r^2, when r=5

A(5)=3.14(5^2)

A(5)=3.14(25)

A(5)=78.5 u^2

4 0

2 years ago