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BigorU [14]
3 years ago
10

Is this question correct?

Mathematics
1 answer:
Andrews [41]3 years ago
6 0

Answer:

10^20

3^11

3^24

10^12

Step-by-step explanation:

(10^2)^10=10^2*10=10^20

3^3*3^8=3^3+8=3^11

(3^3)^8=3^3*8=3^24

10^2*10^10=10^2+10=10^12

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The denominator of a fraction is three more than its numerator. When both the numerator and denominator are increased by one the
horrorfan [7]

Answer:

The original fraction is \frac{2}{5}

Step-by-step explanation:

Let the numerator by X

Denominator is three more than its numerator i.e X +3

When both the numerator and denominator are increased by one the fraction becomes 1/2

\frac{X + 1}{X+3+1} = \frac{1}{2} \\\frac{X+1}{X+4} = \frac{1}{2} \\2X + 2 = X+4\\X = 2

Thus, numerator = 2

Denominator = X +3 = 2+3 = 5

The original fraction is \frac{2}{5}

7 0
2 years ago
Of 140 seventh grade students, 15% earn the presidential physical Fitness award. How many students earn the award
Makovka662 [10]
To find this answer you need to multiply the percent by the total, in this case 15% times 140. Remember to change the percent into a decimal (0.15). 

0.15 (140)= 21

21 people earned the award
3 0
3 years ago
Read 2 more answers
A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba
jekas [21]

Answer:

The test statistic is z = 1.865.

Step-by-step explanation:

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

H0: p = 0.11

This means that 0.11 is tested at the null hypothesis, and so:

\mu = 0.11

\sigma = \sqrt{0.11*0.89} = 0.3129

The engineer weighs 94 bags and finds that 16 of them are over-filled.

This means that:

n = 94, X = \frac{16}{94} = 0.1702

What is the test statistic?

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.1702 - 0.11}{\frac{0.3129}{\sqrt{94}}}

z = 1.865

The test statistic is z = 1.865.

6 0
2 years ago
A circular cake with a radius of 8 inches is cut from the center into 6 equal pieces. How many inches wide, to the nearest tenth
aalyn [17]

Answer: 8.4 inches.

Step-by-step explanation:

We know that the circumference of a circle can be calculated with this formula:

C=2\pi r

Where "r" is the radius of the circle.

We know that the circular cake (whose radius is 8 inches) is cut from the center into 6 equal pieces. Then, you need to divide the circumference of this circular cake by 6 to find the width of the outer edge of each piece of cake.

Therefore, this is (to the nearest tenth of an inch):

C=\frac{2\pi (8in)}{6}\\\\C=8.4in

5 0
3 years ago
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Suppose you toss a 6-sided die 40 times, with 14 tosses landing on the five. What percentage of the tosses would be fives?
Alex777 [14]
\dfrac{14}{40}\cdot100\%=35\%
3 0
3 years ago
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