Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ ≤ 10
For the alternative hypothesis,
µ > 10
The inequality sign indicates that It is a right tailed.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 35,
Degrees of freedom, df = n - 1 = 35 - 1 = 34
t = (x - µ)/(s/√n)
Where
x = sample mean = 14.44
µ = population mean = 10
s = samples standard deviation = 4.45
t = (14.44 - 10)/(4.45/√35) = 5.9
We would determine the p value using the t test calculator. It becomes
p < 0.00001
Since alpha, 0.01 > than the p value, then we would reject the null hypothesis. Therefore, At a 1% level of significance, we can conclude that the true mean is greater than 10.
Use the net as an aid to compute the surface area (rounded to the nearest integer) of the triangular pyramid with an equilateral triangle base.
A) 224 m2
B) 240 m2
C) 254 m2
D) 270 m2
Answer:
Correct answer is [tex]C)\ 254\ m^{2}[/tex]
Step-by-step explanation:
As per the given diagram, we know the following details:
Height of the triangular pyramid is 14m.
Side of base = 10m
Height of Triangular base = 8.7m
Formula for surface area of triangular pyramid:
[tex]\text{Area = Area of Triangular base + 3 }\times\text{Area of side triangle}[/tex]
(Triangular base is shown in the dotted lines in the question figure.
The other 3 triangles are the side triangles.)
We know that,
[tex]\text{Area of a triangle = }\dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]
[tex]\Rightarrow \text{Required Surface Area = } \dfrac{1}{2} \times 8.7 \times 10 + 3 \times \dfrac{1}{2} \times 14 \times 10\\\Rightarrow \dfrac{1}{2}\times (87 + 3 \times 140)\\\Rightarrow \dfrac{1}{2}\times (87 + 420)\\\Rightarrow \dfrac{1}{2} \times 507\\$\approx$ 254 m^{2}[/tex]
Hence correct answer is [tex]C)\ 254\ m^{2}[/tex].
Find the volume of a right circular cone that has a height of 12 cm and a base with a diameter of 18 cm.
Answer:1017.36 cm^3
Step-by-step explanation:
Diameter=18cm
Radius=r=18/2=9cm
Height=h=12cm
Volume of cone=1/3 x π x r^2 x h
Volume of cone=1/3 x 3.14 x 9^2 x 12
Volume of cone=1/3 3.14 x 9 x 9 x 12
Volume =(1x3.14x9x9x12) ➗ 3
Volume =3052.08 ➗ 3
Volume =1017.36
Volume of cone=1017.36 cm^3
75 POINTS. PLZ HURRY
Answer:
https://brainly.com/question/16425127
Step-by-step explanation:
Which of the following expressions has the greatest value?
3^3 2^5 1^10 5^2
Answer:
2^5
Step-by-step explanation:
2^5 = 32
3^3=27
1^10 =1
5^2 = 25
Answer:
2^5
Step-by-step explanation:
Look at the attachment
6th grade math ! Help me please :))
Answer to the perimeter
2 x (5 + 13)
Answer:
2 x (5+13)
Step-by-step explanation:
To find the perimeter of a rectangle you must add all the side lengths. For the rectangle that is displayed, there are 2 sides that measure 13 cm and two that measure 5 cm. Therefore, you should get your answer by adding the 5 cm and the 13 cm, then, multiply the solution by 2 to get your answer.
Bette has a life insurance policy that will pay her family $40,000 per year if
she dies. Bette's insurance company expects that it would have to put
$2,500,000 into a bank account so that it could make the payments. What
does Bette's insurance company expect the interest rate to be?
Answer:
1.6%
Step-by-step explanation:
Solve for r
40,000=(2,500,000)(r/100)(1)
40,000=(25,000)r
r=40,000/25,000
r=1.6
How to add or subtract this polynomial
Answer:
18x^2 + 9x - 5
Step-by-step explanation:
Combine like terms:
(9x^2-8) + (9x^2+9x+3)
= 9x^2 + 9x^2 + 9x - 8 + 3
= 18x^2 + 9x - 5
Two part-time employees share one full-time job. A girl works Mondays. Thursday, Wednesdays, and Fridays, and a boy works Tuesdays. The job pays an annual salary of $28,612. What annual salary does each employee earn?
The girls salary is______
Write an equation that is parallel to the line y=3x-5 and passes through the point (-1,2)
I don’t understand it
Answer:39.6x + 26.4
Step-by-step explanation:
length=3x+2
Width=13.2
area of rectangle=length x width
area of rectangle=(3x+2) x 13.2
area of rectangle=13.2(3x+2)
area of rectangle=39.6x + 26.4
Answer:
39.6x + 26.4
Step-by-step explanation:
13.2 (3x + 2)
Multiply each term in the parentheses by 13.2.
13.2 × 3x + 13.2 × 2
Multiply the numbers.
39.6x + 13.2 × 2
39.6x + 26.4
39.6x + 26.4
Jason earned $54 at his job when he worked for 4 hours. What was his hourly pay rate in hours per dollar?
Answer:
$13.50
Step-by-step explanation:
$54 divided by 4 is $13.50.
Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for finding the standard deviation are below.
s = StartRoot StartFraction (12 minus 14) squared + (14 minus 14) squared + (9 minus 14) squared + (21 minus 14) squared Over 4 EndFraction EndRoot. = StartRoot StartFraction negative 2 squared + 0 squared + negative 5 squared + 7 squared Over 4 EndFraction EndRoot. = StartRoot StartFraction 4 + 0 + 25 + 49 Over 4 EndFraction EndRoot. = StartRoot StartFraction 78 Over 4 EndFraction EndRoot. = StartRoot 19.5 EndRoot.
What is the first error he made in computing the standard deviation?
A. Yuri failed to find the difference between each data point and the mean.
B. Yuri divided by n instead of n -1.
C. Yuri did not subtract 9 - 14 correctly.
D. Yuri failed to square -2 correctly.
Answer:
B. Yuri divided by n instead of n-1
Step-by-step explanation:
It was stated in the question that the dataset was sample dataset. For a sample dataset, the standard deviation is given by the formula,
σ = √ Σ (Xi - mean)²/(n - 1) where i = 1,2,3.....n
Since this is just a sample dataset and not the whole population, Yuri should have divided by n-1 instead of n.
Answer:
B.
Step-by-step explanation:
(Here's Answers for the Quiz I did so far!)
1. Abby is collecting rainfall data.
Answer: B.
2. The Monthly Mean Salaries
Answer: A.
3. The Number of Cars at a Dealer Ship
Answer: A. (6.9)
4. The Mean Set of Credit Card Scores.
Answer: C. (720)
Which of the following is a ray as shown in the drawing?
Answer:
DH
Step-by-step explanation:
this is just to comment to tell everyone this is multiple choice meaning it could be ad or ij togethe.
The typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. About 68% of adults typically sleep between a minimum of ___ hours a night and a maximum of ____ hours a night. Please enter your answer in the following format and round to the first decimal place: (min_value, max_value)
Answer:
(6.2, 8.8).
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 7.5 hours
Standard deviation = 1.3 hours
About 68% ...
By the Empirical Rule, within 1 standard deviation of the mean.
7.5 - 1.3 = 6.2
7.5 + 1.3 = 8.8
So in the format requested
(6.2, 8.8).
What's your real rate of return if your savings account pays 2.5% interest and inflation is at 1%?
A. 1.5%
B. 2.5%.
C. 3.5%
D. Can't calculate.
Answer:
Real rate of return = 1.5%
Step-by-step explanation:
Given:
Savings account return = 2.5%
Inflation rate = 1%
Find:
Real rate of return = ?
Computation:
⇒ Nominal rate of return = Real rate of return + Inflation rate
⇒ Real rate of return = Savings account return - Inflation rate
⇒ Real rate of return = 2.5% - 1%
⇒ Real rate of return = 1.5%
how are a common denominator and a common multiple alike and diferent
Answer:
To find a common denominator of two fractions, you have to find a number that both denominators of the given fractions will divide into. And to find a common multiple, you have to find a number that both given numbers will divide into.
Step-by-step explanation:
Answer:
To find a common denominator of two fractions, you have to find a number that both denominators of the given fractions will divide into. And to find a common multiple, you have to find a number that both given numbers will divide into.
Step-by-step explanation:
Trust me,I will give braineist. I swear to god.
Answer:
= 1696m^3
Step-by-step explanation:
V = πr²h
= 3.14 x 6 x 6 x 15
= 3.14 x 540
= 1695.6 m^3
= 1696m^3
Fifteen mothers were asked how many months old their babies were when they cut their first tooth. The results are shown below.
8, 8, 6, 8, 9, 10, 5, 7, 9, 5, 9, 7, 6, 8, 7
Find the range and the outlier(s), if any, of the data set.
What’s the correct answer for this?
Answer:
D: 8 and 2 and then 8 and 6.
Step-by-step explanation:
Corresponding angles are angles in the same position at an intersection of lines. For example, some of the corresponding angles in this picture are 1 and 7, and 8 and 2. Alternate interior angles are angles that are on the opposite sides of a transversal but are on the inner sides. For example, 8 and 6 and 7 and 5. If you look at all the options and use process of elimination, D will be the only possible answer. For A, 1 and 2 are not corresponding angles, as they are on opposite sides of the same line. For B, 4 and 6 are not alternate interior angles. They are vertical angles, congruent angles mirrored on the opposite side. For C, 7 and 2 are not corresponding angles, as they are not in the same relative position. Therefore, D is the only answer left. 8 and 2 are corresponding angles: they are both on the right side of the lines next to them. 8 and 6 are alternate interior angles, since they are on the opposite sides of the line, but on the inside.
A bookstore had 60 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 1/4 of what remained. How many copies does the bookstore have left?
Answer:
30
Step-by-step explanation:
1/3 of 60 is 20
40 would be left
1/4 of 40 is 10 so 30 would be left
If AB = 10, what is the length of DE?
11
5
12
3
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
3.5.49 X 0.67 *
Your answer
What is the answer
Answer:
2.37783 or 23.7783
Step-by-step explanation:
find the value of p in the following equation: 6 * 2/4 = p * 1/4
Answer: [tex]p=12[/tex]
Step-by-step explanation:
[tex]6*\frac{2}{4}=p*\frac{1}{4}[/tex]
Solve the multiplication on the left side.
6 and 4 can be simplified.
6/2=3
4/2=2
Leaving it like;
[tex]3*\frac{2}{2}=p*\frac{1}{4}[/tex]
2 and 2 is 1 and 3 times 1 is 3.
[tex]3=p*\frac{1}{4}[/tex]
Multiply by 4 to eliminate the fraction and isolate p.
[tex]4*3=p*\frac{1}{4}*4\\12=p[/tex]
50 POINTS!!!!!!! WILL MARK BRAINLIEST! NO COPY/PASTE! TWO TO THREE SENTENCES AND EXPLAIN! WILL REPORT STUPID ANSWERS! According to Nikita Khrushchev, Premier of the Soviet Union, which of the three events had the potential to advance Soviet interests the most? The three events are the Cuban Missile Crisis, The Space Race, and The Berlin Wall.
Answer: Soviet leader Nikita Khrushchev had gambled on sending the missiles to Cuba with the specific goal of increasing his nation's nuclear strike capability.
Step-by-step explanation:
The Soviet Union signed a treaty with Hitler, the U.S. kept the atomic bomb a secret, and the U.S. took a long time to attack Hitler. France, Britain, and the United States wanted to reunify Germany, so they combined their areas into West Germany. Soviets cut off transportation to West Berlin. This lead to the United States and Britain using the Berlin airlift to bring food/supplies into the isolated part of Soviet occupied West Berlin.what's the solution to the inequality 1 2/3 > r - 7/12
Answer:
r ≤ 2 1/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesRewriting FractionsStep-by-step explanation:
Step 1: Define
1 2/3 ≥ r - 7/12
Step 2: Solve for r
Rewrite: 5/3 ≥ r - 7/12Isolate r: 9/4 ≥ rRewrite: r ≤ 9/4Reduce: r ≤ 2 1/4Here we see that any number r less than or equal to 2 1/4 will work as a solution to the inequality.
A rectangular poster has a length of 24 inches , and it’s width is 12 inches. What is the perimeter of the poster.
Answer:
(24 + 12) x 2 = 72 inches
OMG THIS QUESTION IS SO HARD WILL RATE IF U GET IT
These aren't too hard -- you should really try to do them yourself.
The upper triangle has base 2+2=4 and height 3.2. The lower one has base 4 and height 4. Of course the area of a triangle half base times height.
Area = (1/2) 4(3.2) + (1/2)(4)(4) = 2(7.2) = 14.4
Answer: 14.4 sq ft
What percentage of students who take honors English are taking a non-honors math class?
Answer:
B
Step-by-step explanation:
Took quiz GL
Answer:
the answer is not B
Step-by-step explanation:
the answer is A I actually took the quiz
PLS HELP ME!
Um doing venn digrams so u have to set one up for it to work... TWENTY POINTS
Answer:
Creating a diagram..
Step-by-step explanation:
Alrighty, I've made a diagram. I've even uploaded it so everyone can see how good at drawing I am (not)
a. 7 do not own anything.
b. the probability that someone owns a bone or a stick is 50%.
c. the probability that someone owns a rock and a bone is 14%.
d. the probability that someone owns at least 2 items is 42%.
e. the probability that someone owns only 1 of these items is 51%.
Please tell me if im wrong! im only a student .m.
Diameter EG is drawn on circle H and point F is located on the circle such that GF = 8.5inches. If the radius of the circle is equal to 10 inches, then what is the measure of GF to the nearest degree?
Answer:
[tex]\widehat{GF}=49[/tex] degrees
Step-by-step explanation:
In the figure attached, EG is the diameter of the circle and a point F is located on the circle.
Measure of [tex]\widehat{GF}[/tex] = 8.5 inches
Radius HF = 10 inches
Formula to get the length of arc = [tex]\frac{\theta}{360}\times (2\pi r)[/tex]
8.5 = [tex]\frac{\theta}{360}(2\pi)(10)[/tex]
θ = [tex]\frac{360\times 8.5}{20\pi }[/tex]
= 48.7°
≈ 49°
Since central angle = measure of the intercepted arc
Therefore, [tex]\widehat{GF}=49[/tex] degrees will be the measure of the given arc GF.
