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kolezko [41]
3 years ago
13

JK Rowling is autographing some of the new Harry Potter books.A store sells 56 books and she is able to autograph 5/8 of the boo

ks sold.How many books will have her autograph?
Mathematics
1 answer:
Andru [333]3 years ago
7 0
56/8 = 7
7x5 = 35 books
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3. the speedy fast ski resort has started to keep track of the number of skiers and snowboarders who bought season passes. the r
pogonyaev
You can set this up as an algebraic equation using the ratio:

\frac{1}{2} = \frac{x}{x+1250}
where x = number of skiers

Cross multiply:
x + 1250 = 2x

Solve for x:
-x = -1250
x=1250

To find the number of snowboarders, add 1250.
1250 + 1250 = 2500

1250 skiers and 2500 snowboarders bought season passes.
5 0
3 years ago
Read 2 more answers
Springfield nuclear energy inc bonds are currently trading at 283.30. The bonds have a face value of $1,000, a coupon rate of 2%
vampirchik [111]

<u>Answer:</u>

The yield to maturity of the bonds is 11%

<u>Explanation:</u>

Price at which the bonds is currently trading = 283.30$

Face Value = $1000

Coupon rate = 2%

Hence the coupon bond rate = $1000 ×2%

= 1000\times \frac{2}{100}

=$20

Years to maturity: 20 years

Formula used:  

=\frac{(C+ (\frac{(F-P)}{n}))}{(\frac{(F+P)}{2})}

Where C is the bond coupon rate

F is the face value

P is the price

N is the number of years

=\frac{(20 +(\frac{(1000-283.30)}{20})}{(\frac{(1000+283.30)}{2})}

=11%

The yield to maturity of the bonds is 11%

3 0
3 years ago
Y = f(x) = 2x<br> Find f(x) when x = 2.<br> Enter the correct answer.
sdas [7]

Answer:

<h2>f(x) = 4</h2>

Step-by-step explanation:

f(x) = 2x

When x = 2

Substitute the value of x into f(x)

That's

f(2) = 2(2)

= 4

Hope this helps you

6 0
3 years ago
Read 2 more answers
If the critical z-value for a hypothesis test... If the critical z-value for a hypothesis test equals 2.45, what value of the te
schepotkina [342]

Answer: z score = 0.00714

Step-by-step explanation: the value of test statistics is gotten using the standard normal distribution table.

Z= 2.45 has area to the left (z<2.45) and area to the right (z>2.45).

Level of significance α is the probability of committing a type 1 error. The area under the distribution is known as the rejection region and it is the area towards the right of the distribution.

The table I'm using is towards the left of the distribution.

But z>2.45 + z<2.45 = 1

z> 2.45 = 1 - z<2.45

But z < 2.45 = 0.99286

z > 2.45 = 1 - 0.99286

z >2.45 = 0.00714

Hence the test statistics that would produce the least type 1 error is 0.00714

8 0
3 years ago
A fruit bowl is shaped like half of a sphere. The radius of the bowl is 15cm. what is the volume of the bowl
Naya [18.7K]

Answer: 7065 cm

Step-by-step explanation:

Find the volume as the bowl was a whole sphere and then divide the volume found by two, to get the volume of half the sphere.

(4/3) * π*(r^3) ≈ 14130 cm

14130/2 ≈ 7065 cm

This is an approximated result using π = 3.14

3 0
3 years ago
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