The volume of a rectangular prism is 4800 cm3. The base is 12 cm long and 20 cm wide.

Find three positive consecutive integers such that the product of the second integer and the third integer is 72

Anastaziya [24]

Let
x---------> first positive integer
x+1------> second positive integer
x+2-----> third positive integer

we know that
(x+1)*(x+2)=72-------> x² +2x+x+2=72 -------> x² +3x-70=0

using a graph tool-------> <span>I solve the quadratic equation
</span>see the attached figure

the roots are
x1=-10
x2=7

the answer is
first positive integer is x=7
second positive integer is x+1=8
third positive integer is x+2=9

3 0

3 years ago

Read 2 more answers

9> -2m + 2 - 3

Tanya [424]

Answer:

A

Step-by-step explanation:

Given

9 > - 2m + 2 - 3, that is

9 > - 2m - 1 ( add 1 to both sides )

10 > - 2m

Divide both sides by - 2, reversing the symbol as a result if dividing by a negative quantity.

- 5 < m , thus

m > - 5 → A

6 0

3 years ago

Read 2 more answers

Indicate whether the following analysis involves a statistical test. If it does involve a statistical test, state the population

Pie

Answer:

a

Yes it involves a statistical test

The population parameter(s) of interest is

The sample size is n = 100

The average reaction time of the right hands for the right-handed participants $\mu_R$

The average reaction time of the left hands for the left-handed participants $\mu_L$

The null hypothesis is $H_o : \mu_R = \mu_L$ ,

The alternative hypothesis is $H_a: \mu_R < \mu_L$

b

Yes it involves a statistical test

The population parameter(s) of interest is

The sample size is n = 100

The average reaction time of the right hands for the right-handed participants $\mu_R$

The average reaction time of the left hands for the left-handed participants $\mu_L$

The null hypothesis is $H_o : \mu_R = \mu_L$ ,

The alternative hypothesis is $H_a: \mu_R < \mu_L$

c

Yes it involves a statistical test

The population parameter(s) of interest is

The percentage of people in the community living in a mobile home is denoted with p

The sample size is n = 1000

The null hypothesis is $H_o : p =10\% = 0.01$ ,

The alternative hypothesis is $H_a: p >10\% = 0.01$

Step-by-step explanation:

Considering the first statement

Testing 100 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left.

Yes, the analysis does involve a statistical test.

The null hypothesis is $H_o : \mu_R = \mu_L$ ,

The alternative hypothesis is $H_a: \mu_R < \mu_L$

Here $\mu_R$ is the average reaction time of the right hands for the right-handed participants

and $\mu_L$ is the average reaction time of the left hands for the left-handed participants

Considering third statement

Polling 1000 people in a large community to determine if there is evidence for the claim that the percentage of people in the community living in a mobile home is greater then 10%.

The percentage of people in the community living in a mobile home is denoted with p

The sample size is n = 1000

The null hypothesis is $H_o : p =10\% = 0.01$ ,

The alternative hypothesis is $H_a: p >10\% = 0.01$

3 0

3 years ago

How to solve 4(2x-7)-2×=-10 step by step

KATRIN_1 [288]

Answer: x=3

Step-by-step explanation:

4(2x-7)-2x=-10

Multiply 4 with 2x and -7

8x-28-2x=-10

Add like terms which are 8x and -2x

6x-28=-10

Add 28 to both sides so the -28 cancels out

6x=18

Divide both sides by 6 to isolate the x

Answer= x=3

6 0

3 years ago

Cual es el resultado?

Korolek [52]

I hope this helps you

x^2/3 [x^2/3.x^-1/4)^6.1/3.2

x^2/3[x^8-3/12]^4

x^2/3 [x^5/12]^4

x^2/3.x^5/12.4

x^2/3.x^5/3

x^2+5/3

x^7/3

5 0

3 years ago