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3 years ago

The price of an item has been reduced by 30%. The original price was $70. What is the price of the item now?

Mathematics

2 answers:

Jlenok [28]3 years ago

8 0

Answer:

$41.25

Step-by-step explanation:

We can use this formula to solve this problem:

−

(

)

Where:

is the sales price: what we are solving for in this problem.

is the original price: $55 for this problem.

is the discount rate: 25% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 25% can be written as

100

Substituting and calculating

gives:

−

(

100

)

−

1375

100

−

13.75

41.25

qwelly [4]3 years ago

5 0

Answer:

$\frac{30}{100} \times 70 \\ 21 \\ 70 - 21 \\ 49$

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Grandma makes chocolate chip cookies in batch of 100, and you choose one cookie at random. How many chips should she put in the

elena55 [62]

Answer:

391 chips

Step-by-step explanation:

This is a Poisson distribution problem with the formula;

P(X = k) = (e^(-λ) × λ^(k))/k!

Let n be the number of chips she puts in the dough.

Since she makes chocolate chip cookies in batch of 100, then the mean number of chips is n/100.

So, λ = n/100

Now, we want to find how many chips should she put in the dough so that the probability your cookie contains no chip is 0.02.

Thus;

P(X = 0) = (e^(-λ) × λ^(0))/0! = 0.02

This gives;

e^(-λ) = 0.02

Putting λ = n/100, we have;

e^(-n/100) = 0.02

-n/100 = In 0.02

-n/100 = -3.912

n = -100 × -3.912

n ≈ 391 chips

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nika2105 [10]

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2 years ago

3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round

Mariana [72]

The volume of the prop is calculated to be 2,712.96 cubic inches.

<u>Step-by-step explanation:</u>

Step 1:

The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying $\frac{1}{3}$ with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 9 inches and the height is 14 inches.

The volume of the cone : $V=\pi r^{2} \frac{h}{3}$ = $3.14 \times 9^{2} \times \frac{14}{3}$ = 1,186.92 cubic inches.

Step 3:

The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying $\frac{4}{3}$ with π and the cube of the radius (r³).