Translate the sentence into an inequality.

Sid needs 0.70.7 meters of canvas material to make a carry-all bag for his wheelchair. if canvas is $10.6910.69 per meter, ho

Reil [10]

For this case we have the following relationship:

Total cost = (Unit Cost) * (Number of meters)

Therefore, substituting values in the given equation we have:

Total cost = (10.69) * (0.70)

Total cost = $ 7,483

This means that Sid will spend $ 7,483 to do the work.

Answer:

Sid will spend about $ 7,483.

7 0

3 years ago

Amanda receives money from her relatives every year on her birthday. Last year, she

umka21 [38]

Answer:

We can call last years amount as 100 percent. that means 68-100. We want to know was 85 is so we can say 85-x. We have 68-100

85-x

Cross multiplying and solving for x we get 8500/68 =x x=125, so the answer is 125.

8 0

3 years ago

Solve the following Systems of Equations by Substitution or Elimination

Likurg_2 [28]

Answer:

(-1,2)

Step-by-step explanation:

y = -2x ______(1)

7x - 8y = -23 ________(2)

Substituting the value of y in eqn.(1) into eqn (2);

7x - 8(-2x) = -23

7x + 16x = -23

23x = -23

x = -1

y = -2(-1) = 2.

7 0

3 years ago

According to a Pew Research Center, in May 2011, 35% of all American adults had a smart phone (one which the user can use to rea

Veronika [31]

Answer:

$p_v =P(z>1.82)=0.034$

Assuming a standard significance level of $\alpha=0.05$ the best conclusion for this case would be:

4. There is not enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.034).

Because $p_v$

If we select a significance level lower than 0.034 then the conclusion would change.

Step-by-step explanation:

Data given

n=300 represent the random sample taken

X=120 represent the people who have a smart phone

$\hat p=\frac{120}{300}=0.4$ estimated proportion of people who have a smart phone

$p_o=0.35$ is the value that we want to test

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

System of hypothesis

We need to conduct a hypothesis in order to test the claim that the true proportion of people who have a smart phone is higher than 0.35, the system of hypothesis are.:

Null hypothesis: $p\leq 0.35$

Alternative hypothesis: $p > 0.35$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.4 -0.35}{\sqrt{\frac{0.35(1-0.35)}{300}}}=1.82$

Statistical decision

Since is a right tailed test the p value would be:

$p_v =P(z>1.82)=0.034$

Assuming a standard significance level of $\alpha=0.05$ the best conclusion for this case would be:

4. There is not enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.034).

Because $p_v$

If we select a significance level lower than 0.034 then the conclusion would change.

4 0

3 years ago

Carpenters use a tool called a speed square to help them mark right angles . A speed square is a right triangle

Ronch [10]

Answer:

A. $Area = \frac{1}{2}(2x^2 - 2x - 24)$

B. $Area = 3.75 in^2$

Step-by-step explanation:

A. $Area = \frac{1}{2}bh$

Where,

$b = 2x + 6$

$h = x - 4$

Plug in the values to get a polynomial that represents the area of the tool

$Area = \frac{1}{2}(2x + 6)(x - 4)$

$Area = \frac{1}{2}(2x(x - 4) + 6(x - 4)$

$Area = \frac{1}{2}(2x^2 - 8x + 6x - 24)$

$Area = \frac{1}{2}(2x^2 - 2x - 24)$

B. To find area, when x = 4.5 in, plug in the value of x into the equation for the area of the tool.

$Area = \frac{1}{2}(2(4.5)2 - 2(4.5) - 24)$

$Area = \frac{1}{2}(2(20.25) - 9 - 24)$

$Area = \frac{1}{2}(40.5 - 9 - 24)$

$Area = \frac{1}{2}(7.5)$

$Area = 3.75 in^2$

8 0

3 years ago