a. 80

b. 85

c. 90

d. 95

Answer:

**Answer:**

b. 85

**Step-by-step explanation:**

Average grade (μ) = 75

Standard deviation (σ) = 8

Assuming a normal distribution, the z-score corresponding to the upper 10% of the test grades is** z = 1.28.**

**The minimum grade 'X' within the top 10% is given by:**

Rounding to the nearest percent, **the dividing point between an A and a B grade is 85.**

The equation (logx)^-4logx-5=0 has the solution:A) x=1/10B)x=1/100000C)x=1000D) No solution

6 apple trees fir every 4 pears trees How many apple trees would there be if there were 42 pear trees

What is the y-intercept of function f?A. 1B. -1C. -2D. 5

Find the area of shaded region

There are 5 times as many females as males on the maths course at university. What fractionof the course are male?Give your answer in its simplest form

6 apple trees fir every 4 pears trees How many apple trees would there be if there were 42 pear trees

What is the y-intercept of function f?A. 1B. -1C. -2D. 5

Find the area of shaded region

There are 5 times as many females as males on the maths course at university. What fractionof the course are male?Give your answer in its simplest form

**Answer:**

Quadrants 3 and 4

**Step-by-step explanation:**

Quadrants 3 &4 represent negative integers. If 0 on the x axis represents the average/mean number of people there, then 3& 4 show the decrease from the average number.

**Answer:**

Lots.

**Step-by-step explanation:**

12 + 12, 2 x 12, 48 divided 2, etc.

Lots of expressions make 24.

**Answer:For this case we must find an expression equivalent to 24, including exponents. To do this, we decompose factor 24. By definition, factorial decomposition consists of writing a number as the multiplication of other numbers.**

**Then:**

**We have the "2" is written three times, then:**

**Answer:24 = 2 to the 3rd power x 3**

**Step-by-step explanation:**

Where should 0.3% be placed in the Venn diagram?

Real numbers

Natural numbers, because 0.3% is a positive

number

B

Integers, because 0.3% is a decimal

Integers

Rational

numbers

Natural

numbers

Rational numbers, because 0.3% can be

written as a fraction

Real numbers, because 0.3% is an irrational

number

**Answer:**

Rational numbers, because 0.3% can be

written as a fraction

**Step-by-step explanation:**

Answer:c

Step-by-step explanation:

Old sales revenue (mil. $) 5.2 6.5 7.2 5.7 7.6

New sales revenue (mil. $) 6.4 7.8 6.8 6.5 8.2

Let μ₁ and μ₂ be the means of old and new sales revenues, both in millions of dollars per month.

(a) At α = 0.05, test H0: μ2 ≤ μ1 versus H1: μ2 > μ1. Sketch the test. Interpret your result.

(b)Sketch and find the p‐value of the test. Would you reject H0 if α = 0.01?

**Answer:**

a)

So the p values is lower than the significance level given 0.05, so then we can conclude that we reject the null hypothesis.

b) The p value is illustrated on the figure attached.

If we select we see that so then we have enough evidence to FAIL to reject the null hypothesis.

**Step-by-step explanation:**

**Part a**

A **paired t-test** is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.

Let put some notation

1=test value old , 2 = test value new

1: 5.2 6.5 7.2 5.7 7.6

2: 6.4 7.8 6.8 6.5 8.2

The system of hypothesis for this case are:

Null hypothesis:

Alternative hypothesis:

The first step is calculate the difference and we obtain this:

d: 1.2, 1.3, -0.4, 0.8, 0.6

The second step is calculate the mean difference

The third step would be calculate the standard deviation for the differences, and we got:

The 4 step is calculate the statistic given by :

The next step is calculate the degrees of freedom given by:

Now we can calculate the p value, since we have a right tailed test the p value is given by:

So the p values is lower than the significance level given 0.05, so then we can conclude that we reject the null hypothesis.

**Part b**

The p value is illustrated on the figure attached.

If we select we see that so then we have enough evidence to FAIL to reject the null hypothesis.

**Answer:**

** Total saving during first 5 years=$137500**

**Total saving during first year=$17500**

**Step-by-step explanation:**

We are given that

Savings rate

Total saving during first 5 years is given by

Total saving during first 5 years==**$137500**

Total saving during first year=

Total saving during first year=

Total saving during first year=**$17500**

**Answer:**

3x (x² + x + 1)

You could write any trinomial like this