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3 years ago

1 Point

Mathematics

1 answer:

Anna007 [38]3 years ago

5 0

Answer: X+5

Step-by-step explanation:

When you take out the 9 it should be 9(x+5) and when you take out the 9x on the bottom it gives you (x+5)+20 therefore x+5 is your GCF.

I hope this helps :)

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Find the 12th term of an AP of the form 7, 12, 17, 22

Nostrana [21]

Answer:

Step-by-step explanation:

The rule will be

Ni=(i-1)*5+2

i=1 → N=(1–1)*5+2=0*5+2=0+2=2
i=2 → N=(2–1)*5+2=1*5+2=5+2=7
i=3 → N=(3–1)*5+2=2*5+2=10+2=12
i=4 → N=(4–1)*5+2=3*5+2=15+2=17
i=5 → N=(5–1)*5+2=4*5+2=20+2=22
i=6 → N=(6–1)*5+2=5*5+2=25+2=27

________________

Learn more about arithmetic sequences:

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6 0

2 years ago

A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim

Akimi4 [234]

Answer:

74.86% probability that a component is at least 12 centimeters long.

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 14$

Variance is 9.

The standard deviation is the square root of the variance.

$\sigma = \sqrt{9} = 3$

Calculate the probability that a component is at least 12 centimeters long.

This is 1 subtracted by the pvalue of Z when X = 12. So

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

$Z = \frac{12 - 14}{3}$

$Z = -0.67$

$Z = -0.67$ has a pvalue of 0.2514.

1-0.2514 = 0.7486

74.86% probability that a component is at least 12 centimeters long.

6 0

3 years ago

A tree is 58 inches tall. how tall is it in feet and inches

mart [117]

A foot is 12 inches.
12 can go into 58 evenly 4 times, since 12• 4 equals 48 but 12 • 5 equals 60. This means that the tree is at least 4 feet. Then to find the leftover inches we do 58-48 equals 10, therefore the answer is 58 inches translates to 4 feet and 10 inches.

8 0

3 years ago

Pls help me I’m failing only do one I just need it to be in frame ._.

lorasvet [3.4K]

Answer:

get someone else to do it

Step-by-step explanation:

wish you luck

7 0

3 years ago

Given: QR = 59; RT = 59 Prove: QR = RT StatementsReason 1. QR = 59; RT = 591. Given 2. 59 = RT2. Symmetric Property of Equality

Studentka2010 [4]

Statement 3 is QR=RT. This can be validified by the reason of Transitive Property of Equality. This property is applied when the situation is if a=c and b=c, then a=b. The same is true for QR=59 and RT=59, then QR=RT.

5 0

3 years ago

Read 2 more answers