What is 6.5% of $6991.94

Brendan and Marie are each assigned a paper for a class they share. Brendan decides to write 41 pages at a time while Marie deci

hram777 [196]

Answer:

18+18=38, since they did the same number that's the least it could be

7 0

3 years ago

In a survey of 2 comma 3002,300 people who owned a certain type of car, 1 comma 2651,265 said they would buy that type of car a

iren [92.7K]

Answer:

55% of the people surveyed were satisfied with the car

Step-by-step explanation:

The proportion of people surveyed who were satisfied with the car is the number of people who said they would buy that type of car again divided by the total number of people survied.

The percentage is the proportion multiplied by 100.

We have that:

2,300 people surveyed

1,265 said they would buy that type of car again.

1265/2300 = 0.55

0.55*100 = 55%

55% of the people surveyed were satisfied with the car

8 0

3 years ago

Based on an indication that mean daily car rental rates may be higher for Boston than for Dallas, a survey of eight car rental c

Elina [12.6K]

Answer:

$t=\frac{(47 -44)-(0)}{3\sqrt{\frac{1}{8}+\frac{1}{9}}}=2.058$

The degrees of freedom are:

$df=8+9-2=15$

And the p value would be:

$p_v =P(t_{15}>2.058) =0.0287$

Since we have a p value lower than the significance level given of 0.05 we can reject the null hypothesis and we can conclude that the true mean for car rental rates in Boston are signiﬁcantly higher than those in Dallas

Step-by-step explanation:

Data given

$n_1 =8$ represent the sample size for group Boston

$n_2 =9$ represent the sample size for group Dallas

$\bar X_1 =47$ represent the sample mean for the group Boston

$\bar X_2 =44$ represent the sample mean for the group Dallas

$s_1=3$ represent the sample standard deviation for group Boston

$s_2=3$ represent the sample standard deviation for group Dallas

We can assume that we have independent samples from two normal distributions with equal variances and that is:

$\sigma^2_1 =\sigma^2_2 =\sigma^2$

Let the subindex 1 for Boston and 2 for Dallas we want to check the following hypothesis:

Null hypothesis: $\mu_1 \leq \mu_2$

Alternative hypothesis: $\mu_1 > \mu_2$

The statistic is given by this formula:

$t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}$

Where t follows a t student distribution with $n_1+n_2 -2$ degrees of freedom and the pooled variance $S^2_p$ is given by this formula:

$\S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}$

Replacing we got:

$\S^2_p =\frac{(8-1)(3)^2 +(9 -1)(3)^2}{8 +9 -2}=9$

And the deviation would be just the square root of the variance:

$S_p=3$

The statitsic would be:

$t=\frac{(47 -44)-(0)}{3\sqrt{\frac{1}{8}+\frac{1}{9}}}=2.058$

The degrees of freedom are:

$df=8+9-2=15$

And the p value would be:

$p_v =P(t_{15}>2.058) =0.0287$

Since we have a p value lower than the significance level given of 0.05 we can reject the null hypothesis and we can conclude that the true mean for car rental rates in Boston are signiﬁcantly higher than those in Dallas

5 0

3 years ago

The population of Boomtown is currently 2000 and expected to grow by 3% over the next year. What will its population be by then?

Sliva [168]

2000
$2000 + (2000 \times .03) = 2060$

6 0

3 years ago

Pete asks Buzz to make a triangular truss with sides that are 5 feet, 6 feet, and 9 feet. Is this enough information for Buzz to

Georgia [21]

Answer: Yes.

Step-by-step explanation:

One of the criteria of congruence for triangles is SSS, this means that when we know that two triangles have all the same side lengths, the triangles are congruent. This would mean that all the triangles with the same side lengths are rotations or translations of the same triangle.

Then, when we know the measures of the 3 sides of a triangle, we have only one possible triangle to make, which would mean that Buzz has enough information to make a truss with the correct size and shape.

8 0

3 years ago

What is 6.5% of $6991.94￼

What is 6.5% of $6991.94