Answer:
The 90% for the average weights of men is between 137.24 lb and 185.76 lb.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 14 - 1 = 14
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7709
The margin of error is:
M = T*s = 1.7709*13.7 = 24.26
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 161.5 - 24.26 = 137.24 lb
The upper end of the interval is the sample mean added to M. So it is 161.5 + 24.26 = 185.76 lb
The 90% for the average weights of men is between 137.24 lb and 185.76 lb.
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.
Given f(x)=x2+12x+26. Enter the quadratic function in vertex form in the box. f(x)=
Answer:
vertex(-6,-3)
Step-by-step explanation:
x^2+12+36-36+26
(x+6)^2-10
v=(-6,-10)
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given questions.
Listed below are selling prices (dollars) of TVs that are 60 inches or larger and rated as a "best buy" by a popular magazine. Are the resulting statistics representative of the population of all TVs that are 60 inches and larger? If you decide to buy one of these TVs, what statistic is most relevant, other than the measures of central tendency?
1850 1950 1600 1950 1650 1000 1950 1400 1000 1700 1950 1150
Answer:
a) Mean = $1,595.83
b) Median = $1,675
c) Mode = $1,950
d) Midrange = $1,475
e)
- No, the resulting statistics are not representative of the population of all TVs that are 60 inches and larger because it is given that the dataset provided is for the selling prices of TVs that are 60 inches or larger and rated as a "best buy" by a popular magazine, hence, this dataset is representative of the best type of TVs that are 60 inches and larger and not all TV sets.
- The statistic that is most relevant other than the measures of central tendency is the standard deviation, a measure of dispersion It shows the variation of the selling prices of different best TVs that are 60 inches and larger, especially their variations from the mean.
Step-by-step explanation:
The data set for selling prices of TVs that are 60 inches or larger and rated as a "best buy" by a popular magazine.
1850 1950 1600 1950 1650 1000 1950 1400 1000 1700 1950 1150
a) Mean
The mean is the sum of all the variables in the distribution divided by the number of variables.
Mean = (Σx)/N = (1850+1950+1600+1950+1650+1000+1950+1400+1000+1700+1950+1150)/12
= (19,150/12) = $1,595.83
b) Median
The median is the variable that falls at the middle of the distribution when all the variables are arranged in ascending or descending order.
Arranging this dataset
1000, 1000, 1150, 1400, 1600, 1650, 1700, 1850, 1950, 1950, 1950, 1950
The numbers in the middle of this distribution include the sixth and seventh variables respectively, 1650 and 1700
Median = (1650+1700)/2 = $1,675
c) Mode
The mode is the variable with the highest frequency in the distribution. It is the variable that occurs the most in the distribution.
Evidently, the selling price with the highest frequency or the selling price that occurs the most in this distribution = $1950
d) Midrange
The midrange is given mathematically as
Midrange = [(Highest variable) + (lowest variable)] ÷ 2
Highest variable = 1950
Lowest variable = 1000
Midrange = (1950+1000)/2 = $1475
e)
- No, the resulting statistics are not representative of the population of all TVs that are 60 inches and larger because it is given that the dataset provided is for the selling prices of TVs that are 60 inches or larger and rated as a "best buy" by a popular magazine, hence, this dataset is representative of the best type of TVs that are 60 inches and larger and not all TV sets.
- The statistic that is most relevant other than the measures of central tendency is the standard deviation, a measure of dispersion It shows the variation of the selling prices of different best TVs that are 60 inches and larger, especially their variations from the mean.
Hope this Helps!!!
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.
What are the solutions to the quadratic equation 6x2 + 24x = 0?
Answer:
x=0 x=-4
Step-by-step explanation:
6x^2 + 24x = 0
Factor out the common factor
6x(x+4) =0
Using the zero product property
6x =0 x+4 =0
x=0 x=-4
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%
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].
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.Pls help with this one I give brainliest thank you! Number 7
Answer:
length x width x height = volume
5.5 x 2 = 11 x 3 = 33
33 ft.
hope this helps
if you have any questions you can ask!
Step-by-step explanation:
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
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.
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:
75 POINTS. PLZ HURRY
Answer:
https://brainly.com/question/16425127
Step-by-step explanation:
1+(5,6)
Square root 3.14
Answer:
still need help
Step-by-step explanation:
what is nine hundred seven thousands in decimal srandard form
Answer:
0.907
Step-by-step explanation:
0.000 thousandths place
Answer:
9.0 x 10⁶
Step-by-step explanation:
if your looking for 900,000
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
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______
Determine whether the distribution is a discrete probability distribution. x 0 100 200 300 400 Upper P (x )0 0 0 0 1 Is the distribution a discrete probability distribution? A. Yes comma because the sum of the probabilities is equal to 1. B. Yes comma because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive. C. No comma because the sum of the probabilties is not equal to 1. D. No comma because each probability is not between 0 and 1 comma inclusive.
Complete Question
Determine whether the distribution is a discrete probability distribution.
xP(x)
0 0.100
1 0.200
2 0.300
3 0.400
Is the distribution a discrete probability distribution?
A. Yes , because the sum of the probabilities is equal to 1.
B. Yes , because the sum of the probabilities is equal to 1 and each probability is between 0 and 1 comma inclusive.
C. No , because the sum of the probabilties is not equal to 1.
D. No , because each probability is not between 0 and 1 comma inclusive.
Answer:
The correct option is B
Step-by-step explanation:
From the question the probabilites are
[tex]p_1 = 0.100[/tex]
[tex]p_2 = 0.200[/tex]
[tex]p_3 = 0.300[/tex]
[tex]p_4 = 0.400[/tex]
The sum of the probability is
[tex]\sum p(x) = 0.100 + 0.200+ 0.300+ 0.400 = 1[/tex]
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]
It took an ice cream 28 minutes to drive through one neighborhood. The truck stopped driving through the neighborhood at 2:05 pm When did the truck start driving through the neighborhood? Choose 1 answer:
Answer:
Starting time: 1:37
Step-by-step explanation:
Instead of proof to solve the problem, let us prove that the starting time above is correct;
1. There are 60 minutes in an hour, so 60 - 37 = the minutes 'till 2:00, or 23 minutes
2. Knowing that the time the truck stopped driving through the neighborhood was 5 minutes past 2:00, the minute difference being 23 + 5, or 28 minutes
Proved: 28 minutes
Evaluate 12 ➗(0.9 -0.04
Answer:
13.9534883721
Step-by-step explanation:
12/(0.9-0.04)=12/0.86=13.9534883721
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.
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.
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
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
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
1. Understand your problem
2. Gather your resources
3. Come to an answer
4. Check your answer and present the solution
Step-by-step explanation:
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
Rectangle ABCD has vertex coordinates A(-1,-1), B(-1, -3), C(-4,-3), and
D(-4,-1). It is translated 2 units to the left and reflected across the x-axis.
What are the coordinates of A"B"C"D?
Answer:
A"(-3, 1)
B"(-3, 3)
C"(-6, 3)
D"(-6, 1)
Step-by-step explanation:
first, find the coordinate after you move it to the left by simply adding 2 to the X coordinate because left and right is in the X plane.
you will get these;
A"(-3, -1)
B"(-3, -3)
C"(-6, -3)
D"(-6, -1)
Then, to find the new coordinate after getting the rectangle reflected across the x-axis, simply change all Y coordinate into positives.
HOPE THIS HELPS :))
What is the range of the data below
23,33,25,16,27,43,29,40,35
Answer: 12
Step-by-step explanation: 35 - 23
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)
