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BlackZzzverrR [31]
3 years ago
9

15x+12=45+4x whats x?

Mathematics
2 answers:
cupoosta [38]3 years ago
5 0
Like terms are when the variable you have are the same. In this case it is x. Therefore, when you have like terms, you should add, or subtract your like terms.
<span>
(note: When you move one thing to the other side of the equation, make sure to do the opposite of the sign. i.e. if it is +4 when you move to the other side it will be -4).

</span><span>15x+12=45+4x
</span>15x+12-12=45+4x-12
15x=<span>45+4x-12
15x-4x=45+4x-4x-12
15x-4x=45-12
11x = 33
this is the same as:
</span><span>11*x = 33
</span>the opposite of multiply is divide so when we move the 11 it has to be divide
11/11*x=33/11
x=3
saul85 [17]3 years ago
4 0

<span>15x+12=45+4x </span>⇒15x - 4x = 45 - 12 ⇒ 11x = 33 ⇒ x = 3


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Answer:

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Step-by-step explanation:

\frac{5}{8} + \frac{11}{12}

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The measure of ∠CBD is 45% of the measure of ∠ABC. Find the value of x.
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x = 49.5°

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∠ABC = 90°

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x = ∠ABC - ∠CBD

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4 0
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A friend of mine believes that the average GPA at KSU is equal to 3.0. In order to test whether he/she is right, I collect some
tiny-mole [99]

The solution of the questions is given as

a)

The alternative hypothesis is that mu is equal to 3.0. ( the average GPA at KSU is not equal to 3.0)

b)

This is a case with two separate arguments. (This is a two-tailed case)

c)

Test Statistic is given by:

z= 2.00

d)

Critical values of Z come from the table and equal \pm1.96.

e)

, p-value = 0.0455

f)

CI= (3.006, 3.594)

g)

Conclusion: The evidence does not back up the assertion that KSU students have a cumulative grade point average of 3.0.

h)

Conclusion: The evidence does not back up the assertion that KSU students have a cumulative grade point average of 3.0.

i) Conclusion: The evidence does not lend credence to the assertion that KSU's typical grade point average is equivalent to 3.0.

j)

The choices you choose in Questions 7, 8, and 9 are identical.

<h3>What is the null hypothesis?</h3>

a)

The null hypothesis states that mu equals 3.0. ( the average GPA at KSU is equal to 3.0) (Claim)

The alternative hypothesis is that mu is equal to 3.0. ( the average GPA at KSU is not equal to 3.0)

b)

This is a case with two separate arguments.

c)

Test Statistic is given by:

z=\frac{\barx-u^0}{σ/Vn}\\\\z=33 - 3.0/1.5/V100

z= 2.00

d)

\alpha = 0.05

Critical values of Z come from the table and equal \pm1.96.

e)

Z Score = 2.00

reading from table, p-value = 0.0455

f)

Confidence Interval:

CI= \barx \pm  \frac{ZX\sigma }{\sqrt((n)}

CI =3.3 \pm 1.96 x 1.5 / \sqrt{100}

CI= (3.006, 3.594)

g)

The disparity is noteworthy given that the computed value of Z = 2.00 is higher than the crucial value of z = 1.96. Cast doubt on the null hypothesis.

Conclusion: The evidence does not back up the assertion that KSU students have a cumulative grade point average of 3.0.

h)

The difference may be considered statistically significant since the p-value of 0.0455 is lower than the alpha threshold of 0.05. Cast doubt on the null hypothesis.

Conclusion: The evidence does not back up the assertion that KSU students have a cumulative grade point average of 3.0.

i)

The difference is statistically significant since the value of 3.0 is not included in the confidence range (3.006 - 3.594). Cast doubt on the null hypothesis.

Conclusion: The evidence does not lend credence to the assertion that KSU's typical grade point average is equivalent to 3.0.

j)

The choices you choose in Questions 7, 8, and 9 are identical.

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2. The long division immediately becomes repetitive. The decimal equivalent is repeating 4s: 0.444...

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The long division is shown in the attachments. When the remainder is the same as the initial dividend, you know the quotient will repeat.

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