We often deal with weighted​ means, in which different data values carry different weights in the calculation of the mean. For​ example, if the final exam counts for​ 50% of your final grade and 2 midterms each count for​ 25%, then you must assign weights of​ 50% and​ 25% to the final and​ midterms, respectively, before computing the mean score for the term. Apply the idea of weighted mean in the following exercise.

A student is taking an advanced anatomy class in which the midterm and final exams are worth 30% each and homework is worth 40% Of his final grade. On a 100-point scale, his midterm exam score was 82.5, his homework average score was 91.6, and his final exam score was 88.6.

Required:
a. On a 100-point scale, what is the student's overall average for the class?
b. The student was hoping to get an A in the class, which requires an overall score of 93.5 or higher. Could he have scored high enough on the final exam to get an A in the class?

w represents width

4w represents length

d represents diagonal

w2 + (4w)2 = d2

w2 + 16w2 = d2

17w2 = d2

±w√17 = d

The diagonal is the width times √17.

Answer: 4.2

Step-by-step explanation:

Here's the formula for how to find the hypotenuse: (a and b are the two legs for the triangle-- it doesn't matter which leg is a and which leg is b, but c MUST be the hypotenuse)

[tex]a^2+b^2=c^2[/tex]

[tex]1.9^2+3.8^2=c^2[/tex]

[tex]3.61+14.44=c^2[/tex]

[tex]18.05=c^2[/tex]

[tex]\sqrt{18.05} =c[/tex]

[tex]c=4.2[/tex]

Answer:

it should be 40 in.

Step-by-step explanation:

because you have to use pythagorean theorem which is A square plus B square equals C square

Hope it helps.

Answer:

add 5/10+3/4+1/2 you add number i will give you hint

Answer:

y=5

Step-by-step explanation:

Answer:

4y=20

y=20/4

y=5

Step-by-step explanation:

Hope this helps u!!

Answer:

8%

Step-by-step explanation:

1.08 is an increase of 0.08, which is 8%

Answer: 3%

Step-by-step explanation:

since the total amount ended up being 12 your going to divide by 4 which is the quartly amount which is how u end up with 3%.

Answer:

a)

The null hypothesis is [tex]H_0: p = 0.91[/tex].

The alternate hypothesis is [tex]H_1: p < 0.91[/tex].

The decision rule is: accept the null hypothesis for [tex]z > -1.645[/tex], reject the null hypothesis for [tex]z < -1.645[/tex].

Since [tex]z = -1.79 < -1.645[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

b)

The p-value for this test is 0.0367. Since this p-value is less than the significance level of [tex]\alpha = 0.05[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

Step-by-step explanation:

Question a:

Perform the appropriate hypothesis test to determine whether this is significant evidence that the percentage of athletes who graduate is less than for the student population at large:

At the null hypothesis, we test if the proportion is the same as the student population, of 91%. Thus:

[tex]H_0: p = 0.91[/tex]

At the alternate hypothesis, we test that the proportion for athletes is less than 91%, that is:

[tex]H_1: p < 0.91[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Test if the proportion is less at the 0.05 level:

The critical value is z with a p-value of 0.05, that is, z = -1.645. Thus, the decision rule is: accept the null hypothesis for [tex]z > -1.645[/tex], reject the null hypothesis for [tex]z < -1.645[/tex].

0.91 is tested at the null hypothesis:

This means that [tex]\mu = 0.91, \sigma = \sqrt{0.91*0.09}[/tex]

A sports reporter contacted 152 athletes randomly sampled from that same university and time period and found that 132 of them had graduated within 6 years.

This means that [tex]n = 152, X = \frac{132}{152} = 0.8684[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.8684 - 0.91}{\frac{\sqrt{0.91*0.09}}{\sqrt{152}}}[/tex]

[tex]z = -1.79[/tex]

Since [tex]z = -1.79 < -1.645[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

(b) (3 points) Calculate the P-value for this test. Explain how this P-value can be use to test the hypotheses in part (a).

The p-value of the test is the probability of finding a sample proportion of 0.8684 or below. This is the p-value of z = -1.79.

Looking a the z-table, z = -1.79 has a p-value of 0.0367.

The p-value for this test is 0.0367. Since this p-value is less than the significance level of [tex]\alpha = 0.05[/tex], we reject the null hypothesis and accept the alternate hypothesis that that percentage of athletes who graduate is less than for the student population at large.

Answer:

[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]

Step-by-step explanation:

Given

[tex]x_1: 16.7\ 17.4\ 18.4\ 16.8\ 18.9\ 17.1\ 17.3\ 18.2\ 21.3\ 21.2\ 20.7\ 18.5[/tex]

[tex]x_2: 30\ 42\ 47\ 47\ 43\ 41\ 48\ 44\ 43\ 50\ 56\ 60[/tex]

[tex]y: 210\ 110\ 103\ 103\ 91\ 76\ 73\ 70\ 68\ 53\ 45\ 31[/tex]

Required

Use R code to determine the regression equation

[tex]y = b_o + b_1x_1 + b_2x_2[/tex]

First, write the following code in a R program

[tex]x1 <- c(16.7,17.4,18.4,16.8,18.9,17.1,17.3,18.2,21.3,21.2,20.7,18.5)[/tex]

[tex]x2 <- c(30,42,47,47,43,41,48,44,43,50,56,60)[/tex]

[tex]y <- c(210,110,103,103,91,76,73,70,68,53,45,31)[/tex]

[tex]mod <- lm(y[/tex]~[tex]x1+x2)\\[/tex]

[tex]summary(mod)[/tex]

Next, run the program

See attachment for program and output

From the output, go to coefficients:

Check Estimate Std. column, you have the following:

[tex](Intercept) = 415.113[/tex]

[tex]x_1 = -6.593[/tex]

[tex]x_2 = -4.504[/tex]

[tex]y = b_o + b_1x_1 + b_2x_2[/tex] implies that:

[tex]b_o \to[/tex] Intercept

[tex]b_1 \to x_1[/tex]

[tex]b_2 \to x_2[/tex]

Hence, the least square regression equation is:

[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]

Answer:

find all numbers, stick together o make an uqaion and solve . simplifi if needed

Step-by-step explanation:

Answer:

sqrt 4^2+3^2=5

Answer:

your answer is 41.6667

Answer:

41 2/3 yards

Step-by-step explanation:

Divide by 3 because 3ft in one yard

125 / 3 = 41 2/3 yards

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

28/4

7

56/8

14/2

63/9

70/7

√49

∛343

Answer: 84

Step-by-step explanation:

The horizontal line is the line tangential to a circle. The measure of the missing angle "x" is 84 degrees

From the figure given, the horizontal line is the line tangential to a circle.

Given the following parameter

measure of minor arc = 168 degrees

Required

angle at the vertex "x"

Using the theore " angle the vertex is half of the measure of its intercepted arc. Mathematically;

x =1/2 minor arc

x= 1/2 (168)

x = 84 degrees

Hence the measure of the missing angle "x" is 84 degrees

Learn more on circle geometry here: https://brainly.com/question/24375372

#SPJ2

Answer:

the last one

Step-by-step explanation:

__________________

Answer: z=25 x=114

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes

Answer:

Step-by-step explanation:

Farmers usually open bakery's to sell their produce or ship them to grocery stores like Walmart, Cosco, etc. I hope this answered your question since I don't quite understand...

Answer:

is there amultipe choice answer if so list them down

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

6x=36

÷6 ÷6

x=6

hope this helps,have a great day!!

~Pinky~

Answer:

circus ticket pricing influences ticket sales shows that there is an average increase of 4 people for every $3 decrease on the price

of the ticket. A circus owner sells an average of 340 tickets when the price of a ticket is $75. If x represents the number of times the price

decreases by $3, which function describes the revenue earned by the circus owner terms

Answer:

452.4 cm^2

Step-by-step explanation:

[tex]a = 4\pi {r}^{2} \\ a = 4 \pi \times (6)^{2} \\ a = 452.4 \: cm^{2} [/tex]

I hope that is useful for you :)

Answer:

take 40 degree as reference angle

using tan rule

tan 40 =p/b

0.83=900/x

0.83x=900

x=900/0.83

x=1084.33

x=1084.3(after rounding off to the nearest tenth)

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

42 gallons is about 0.158987 cubic meters. 1 micron is 1 micro-meter, or 10^-6 meters. The volume is the product of the area and thickness. For some area A, we have ...

  0.158987 m³ = (10^-6 m)A

  A = (10^6)(0.158987 m² = 158,987 m²

The area in square meters is 158,987.

__

A square km is (1000 m)² = 10^6 m². So, the area in square kilometers is about ...

  (158,987 m²)/(10^6 m²/km²) = 0.158987 km²

The area in square km is about 0.1590.

Answer: B. objective is expressed in terms of the decision variables

Step-by-step explanation:

Linear programming refers to an optimization technique that is used for a linear constraints system and the objective function.

The objective function simply means the quantity that an individual wants to optimize. It should be noted that the aim of linear programming is to get the values of the variables which will minimize or maximize the objective function. In problem formulation, objective is expressed in terms of the decision variables.

Therefore, the correct option is B

Answer:

the first question is c

Step-by-step explanation:

2 x pi x the radius

2 x 3.14 x 8

Answer:

636

Step-by-step explanation:

SA=2LW+2LH+2WH

SA= 2(12)(10)+2(12)(9)+2(10)(9)= 636

Answer:

The answer is 636

Step-by-step explanation:

Brainliest maybe?

:)

Answer:

v=LxWxH

v= 3/2x5/3x4

v=15/6x4

v=10in³

Answer:

C. The mean absolute deviation is 2.

Step-by-step explanation:

In order to find the mean absolute deviation, follow the following steps:

Let's work it out.

STEP: 1

|9 - 14| = 5

|13 - 14| = 1

|14 - 14| = 0

|15 - 14| = 1

|15 - 14| = 1

|18 - 14| = 4

STEP: 2

5 + 1 + 0 + 1 + 1 + 4 = 12

STEP: 3

Mean Absolute deviation [tex] =\frac{12}{6}= 2[/tex]

Answer:

perimeter: 36

area: i dont know sorry

Step-by-step explanation:

Answer:

144 eggs

Step-by-step explanation:

1 cake = 6 eggs

24 * 6 = 144 eggs in total.

A longer way to do it is by adding 6, 24 times.

6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6 = 144

But by multiplying, it makes it easier to find the answer.

Answer:

2(5)

Step-by-step explanation:

Answer:

I think it’s 5b+5

Step-by-step explanation:

All ways multiple the outside number with whatever is in the parentheses.