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Leni [432]
3 years ago
10

(q^4)^z= q^12 find the value of z

Mathematics
1 answer:
juin [17]3 years ago
4 0

Answer:

z = 3

Step-by-step explanation:

we use the method

(x^a)^b = x^(a*b)

so

(q^4)^z = q^(4*z)

now

4*z = 12

z = 12 / 4

so

z = 3

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A value two standards deviation from the mean is more likely to occur than a value three standard deviations from the mean.
Alexxandr [17]

Answer:

A value two standards deviation from the mean is more likely to occur than a value three standard deviations from the mean.

Step-by-step explanation:

Standard deviation is a quantitative measure of the variability of traits of the subjects in a given population. These traits can range from age, height, weight e.t.c. This deviation is brought about by extreme or abnormal conditions, which is the reason why two deviations is more likely to occur than three deviations.

Moreover, going by the provisions of the empirical rule, If data comes from a population that is approximately symmetrical;

95% of the data will fall within two standard deviations.

99.7% will fall within three standard deviations

Find the attachment below.

Nevertheless, in a symmetrical distribution most of the data values fall around the mean. Two standard deviations is closer to the mean than 3 standard deviations hence more likely to occur.

5 0
3 years ago
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Tyrone has $500 in his savings account. He wants to save more money. He is looking at two investment plans. Under plan A, he wil
Marrrta [24]

Answer:

\$522.78

Step-by-step explanation:

Let

x ---> the number of years

y ---> the amount in the account balance

Plan A

we have a linear equation of the form

y=mx+b

where

The slope is equal to

m=\$100\ per\ year

The y-intercept or initial value is

b=\$500

substitute

y=100x+500

For x=10 years

substitute

y=100(10)+500=\$1,500

Plan B

we have a exponential growth function of the form

y=a(1+r)^x

where

a=\$500\\r=15\%=15/100=0.15

substitute

y=500(1+0.15)^x

y=500(1.15)^x

For x=10 years

substitute

y=500(1.15)^{10}=\$2,022.78

Find the difference of the two account balances after 10 years

\$2,022.78-\$1,500=\$522.78

3 0
2 years ago
Which table accurately describes the points shown on the following graph?
k0ka [10]
A is the correct answer i'm pretty sure
4 0
3 years ago
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Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 50 provided a sample mean of 19.4. The population stand
goblinko [34]

Answer: p-value is 0.016.

Step-by-step explanation:

Since we have given that

H_0:\mu=20\\\\H_a:\mu

Sample mean = 19.4

Sample size n = 50

Standard deviation = 2

We need to find the test statistic value which is given by

z=\dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\\\z=\dfrac{19.4-20}{\dfrac{2}{\sqrt{50}}}\\\\\\z=\dfrac{-0.6}{0.28}\\\\z=-2.14

p-value is given by

P(Z>Z_{critical})\\\\=P(Z>-2.14)\\\\=0.016

Hence, p-value is 0.016.

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2 years ago
The fact family model represents 6 + 5 = 11.
musickatia [10]

Answer: 11-6=5

Explaining:

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3 years ago
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