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telo118 [61]
3 years ago
9

Here is a hanger: Write an equation to represent the hanger: __________________

Mathematics
2 answers:
Elenna [48]3 years ago
7 0

Answer:

hanger length X hanger height X hanger width

Step-by-step explanation:

MArishka [77]3 years ago
7 0

Answer:

3w = 25

Step-by-step explanation:

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PLZ HELP THIS IS TIMED!!!!
mihalych1998 [28]

Answer:

For the sequence is -\frac{2}{3} ,-4 ,-24 ,-144 ,...

Hence the formula f(x)=-\frac{2}{3}(6)^{x-1} for x=1,2,3,... represents the given geometric sequence

Step-by-step explanation:

Given sequence is -\frac{2}{3} ,-4 ,-24 ,-144 ,...

To find the formula to describe the given sequence :

Let a_1=\frac{-2}{3} ,a_2=-4 ,a_3=-24,...

First find the common ratio

r=\frac{a_2}{a_1} here  a_1=\frac{-2}{3} and,a_2=-4

=\frac{-4}{\frac{-2}{3}}

=\frac{4\times 3}{2}

=\frac{12}{2}

r=6

r=\frac{a_3}{a_2} here  a_2=-4 and a_3=-24

=\frac{-24}{-4}

=6

r=6

Therefore the common ratio is 6

Therefore the given sequence is geometric sequence

The nth term of the geometric sequence is

a_n=a_1r^{n-1}

The formula which describes the given geometric sequence is

f(x)=a_1r^{x-1} for x=1,2,3,...

=\frac{-2}{3}6^{x-1} for x=1,2,3,...

Now verify that f(x)=a_1r^{x-1} for x=1,2,3,... represents the given geometric sequence or not

put x=1 and the value of a_1 in f(x)=a_1r^{x-1} for x=1,2,3,...

we get f(1)=-\frac{2}{3}(6)^{1-1}

=-\frac{2}{3}(6)^0

=-\frac{2}{3}

Therefore f(1)=-\frac{2}{3}

put x=2 we get f(2)=-\frac{2}{3}(6)^{2-1}

=-\frac{2}{3}(6)^1

=-\frac{12}{3}

Therefore f(2)=-4

put x=3 we get f(3)=-\frac{2}{3}(6)^{3-1}

=-\frac{2}{3}(6)^2

=-\frac{2(36)}{3}

Therefore f(3)=-24

Therefore the sequence is f(1),f(2),f(3),...

Therefore  the sequence is -\frac{2}{3} ,-4 ,-24 ,-144 ,...

Hence the formula f(x)=a_1r^{x-1} for x=1,2,3,... represents the given geometric sequence is verified

Therefore the formula f(x)=-\frac{2}{3}(6)^{x-1} for x=1,2,3,... represents the given geometric sequence

7 0
3 years ago
Read 2 more answers
A company considers buying a machine to manufacture a certain item. When tested, 28 out of 600 items produccd by the machine wer
weqwewe [10]

Answer:

The p-value of the test is 0.9918 > 0.05, which means that we fail to reject H_0, as we do not have enough evidence to say that defect rate of machine is smaller than 3%.

Step-by-step explanation:

The null and alternate hypothesis are:

H0:p≥0.03

Ha:p<0.03

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.

0.03 is tested at the null hypothesis:

This means that \mu = 0.03, \sigma = \sqrt{0.03*0.97}

28 out of 600 items produced by the machine were found defective.

This means that n = 600, X = \frac{28}{600} = 0.0467

Value of the test-statistic:

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

z = \frac{0.0467 - 0.03}{\frac{\sqrt{0.03*0.97}}{\sqrt{600}}}

z = 2.4

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.0467, which is the p-value of z = 2.4.

Looking at the z-table, z = 2.4 has a p-value of 0.9918.

The p-value of the test is 0.9918 > 0.05, which means that we fail to reject H_0, as we do not have enough evidence to say that defect rate of machine is smaller than 3%.

7 0
2 years ago
Find the circumference need help
marta [7]

Answer:

56.52

Step-by-step explanation:

c=2pir

C=2*3.14*9

C=56.52

5 0
3 years ago
According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or o
Marizza181 [45]

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that p = 0.304

100 such adults

This means that n = 100

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

7 0
2 years ago
3x^2(4x^3-2x^2+7x-4)
Lunna [17]

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

<h3>>> Given Question :</h3>

3x²(4x³ - 2x² + 7x - 4)

<h3>>> Required Solution :</h3>

12x⁵ - 6x⁴ + 21x³ - 12x²

▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄

6 0
3 years ago
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