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Sveta_85 [38]
1 year ago
11

Write your answer as a power.

Mathematics
2 answers:
Trava [24]1 year ago
5 0

Answer:

8

Step-by-step explanation:

2 times 4 is 8

Katena32 [7]1 year ago
5 0

Step-by-step explanation:

remember, when multiplying the same base with different exponents, we add the exponents.

when putting exponents to the power of exponents, we multiply the exponents (as simplified shortcut of all the additions we would actually have to do).

((-3)²)⁴ = (-3)⁸

in "slow motion" :

((-3)²)⁴ = (-3)²×(-3)²×(-3)²×(-3)² = (-3)^(2+2+2+2) = (-3)⁸

(-3)² = 9

9⁴ = 6561

(-3)⁸ = 6561

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READ WHOLE QUESTION!:There are 50 campers at day camp and 10 counselors.Write the ratio campers to counselors as a fraction.Expl
Dovator [93]
<span>Given that there are 50 campers at day camp and 10 counselors.

The ratio of campers to counselors as a fraction is given by \frac{50}{10}.

Using equivalent fractions we have \frac{50\div10}{10\div10} = \frac{5}{1}.

Thus, the related rate and unit rate to the ratio of campers to counselors is given by \frac{5}{1}.

The unit rate indicates that for every counselor, there are 5 campers.</span>
6 0
3 years ago
Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.8. (Round your ans
Alenkinab [10]

Answer:

a) 0.011 = 1.1% probability that the sample mean hardness for a random sample of 17 pins is at least 51

b) 0.0001 = 0.1% probability that the sample mean hardness for a random sample of 45 pins is at least 51

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 50, \sigma = 1.8

(a) If the distribution is normal, what is the probability that the sample mean hardness for a random sample of 17 pins is at least 51?

Here n = 17, s = \frac{1.8}{\sqrt{17}} = 0.4366

This probability is 1 subtracted by the pvalue of Z when X = 51. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{51 - 50}{0.4366}

Z = 2.29

Z = 2.29 has a pvalue of 0.9890

1 - 0.989 = 0.011

0.011 = 1.1% probability that the sample mean hardness for a random sample of 17 pins is at least 51

(b) What is the (approximate) probability that the sample mean hardness for a random sample of 45 pins is at least 51?

Here n = 17, s = \frac{1.8}{\sqrt{45}} = 0.2683

Z = \frac{X - \mu}{s}

Z = \frac{51 - 50}{0.0.2683}

Z = 3.73

Z = 3.73 has a pvalue of 0.9999

1 - 0.9999 = 0.0001

0.0001 = 0.1% probability that the sample mean hardness for a random sample of 45 pins is at least 51

8 0
3 years ago
35. What percentage is 12 minutes of 4 hours?
Elodia [21]

Answer:

5\%

Step-by-step explanation:

4h = 4  \times 60 \: minutes \\  = 240 \: min \\  \\  \frac{12}{240}  \times 100\% \\  = 5\%

hope this helps you.

Can I have the brainliest please?

have a nice day!

6 0
3 years ago
Read 2 more answers
Which shows the correct substitution of the values a, b, and c from the equation –2 = –x + x2 – 4 into the quadratic formula? Qu
Likurg_2 [28]

Answer:

a  =  1

b =  -1

c =  -2

Step-by-step explanation:

We reorder the equation in such way that let us see the usual

ax² + bx + c = 0

Then the original quation is:

-2 = - x + x² - 4               ⇒  0 = 2 - x + x² - 4        ⇒ x² - x  - 2  = 0

Now we are able by simply inspection to identify a, b . c comparing our equation with the general equation so :

a  =  1

b =  -1

c =  -2

5 0
3 years ago
Read 2 more answers
Correct answers only!
alina1380 [7]

Answer:

$39

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 30 × 10/100 × 3

I = $9

She have = 30 + 9 = $39

3 0
2 years ago
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