Answer:
The population mean = sample mean = x`= 67.5
Population standard deviation = 13.369
Sample standard deviation= 4.225
Step-by-step explanation:
AS the population mean is not given we will calculate it from the sample.
The mean of the sampling distribution is equal to the population mean .
The sample mean is calculated by
x`= ∑x/n= 75,+ 62, +69,+65,+66,+64, +67,+70,+74 + 63/10
x`=675/10= 67.5
The standard deviation of the sample is equal to
u = σ/ √n where σ is the population standard deviation and n is the number of observations.
Calculating the sample mean
s= √∑xi²/n- (∑x/n)²
s= √(45741/10)- (675/10)²
s= 4.2249
σ= u*√n= 4.229 *√10
σ=13.360
The question is in the png
Answer:
2 and 4 only
Step-by-step explanation:
hope it helped!!!
2. At Best Buy, two flash drives and one new mouse for your
computer cost $55.00. How much does one flash drive cost?
(Mouse cost 22.00)
Answer:
I believe one flash drive would cost $16.50.
Step-by-step explanation:
55=2x+22
-22 -22
33=2x
/2 /2
16.50=x
Hope this helps! Have an Amazing day!!
find the domain and the range
Answer:
D: all real numbers, R: y ≤ -4
Step-by-step explanation:
R: y ≤ -4
Because the line doesn't go beyond -4.
what is 2x + 20 + 2x = 60
Answer:
= 1 0
Step-by-step explanation:
Solve
1. Combine like terms
2 + 2 0 + 2 = 6 0
4 + 2 0 = 6 0
2. Subtract 20 from both sides of the equation
4 + 2 0 = 6 0
4 + 2 0 − 2 0 = 6 0 − 2 0
3. Simplify
Subtract the numbers4 + 2 0 − 2 0 = 6 0 − 2 0
4 = 6 0 − 2 0
Subtract the numbers4 = 6 0 − 2 0
4 = 4 0
4. Divide both sides of the equation by the same term
4x = 40
4x/4 = 40/4
5. Simplify
Cancel terms that are in both the numerator and denominator4x/4 = 40/4
x = 40/4
Divide the numbersx = 40/4
x = 10
A $500 snowboard is on sale for 20% off so there is an 8% sales tax Wade has $425 does he have enough to purchase to snowboard yes or no
Answer:
that is$ 160 ok alright jf
What two numbers multiply to get 3 and add to get 6
Answer:
3
Step-by-step explanation:
PLEASE HELPPPPPP me NOW IF U KNOW THE RIGHT ANSWER OMGGG
9514 1404 393
Answer:
68°
Step-by-step explanation:
Chords of the same length subtend arcs of the same measure.
Chord EF = Chord FG . . . . given
Arc EF = Arc FG = 68°
Find all solutions of the equation in the interval [0, 2pi)
cosx (2 sinx+1)=0
Answer:
x = pi/2 and 11pi/6
Step-by-step explanation:
Given the trigonometry expression
cosx (2 sinx+1)=0
This can be written in two forms as;
cosx = 0 and 2sinx + 1 = 0
If cos x = 0
x = arccos0
x = 90degrees
x = pi/2
Similarly
2sinx + 1 = 0
2sinx = -1
sinx = -1/2
sinx =-0.5
x = aarcsin(-0.5)
x = -30
Since sin is negative in the third and 4th quadrant
x = 270 + 30
x = 330degrees
x = 330pi/180
x = 11pi/6
Can someone help me please?
If a van traveled 175 miles in 5 hours, how far could the van travel in 8 hours?
"-2=2" what does this mean
Step-by-step explanation:
i think it means that when negative tow crosses the equal sign, as in a calculation,it becomes positive
eg. -2 +z=0
z =2
Answer:
Negative two is equal to negative two
Step-by-step explanation:
Kinda confused as to why you do not understand that expression...
The radius of a baseball is approximately 2.5 inches. What is its volume?
Answer:Below
Step-by-step explanation:
A baseball is round.
So, the diameter and the height are the same.
The radius is half of the diameter, so: 2.5 x 2 = 5
The height is also 5.
The Volume is 65.45
Answer:
Step-by-step explanation:
The Volume is 65.45
Need the answer real quick
Answer:
1. x+y=20,000
2. 105x+75y=$1,740,000
Step-by-step explanation:
let x be the stage level seats and y be the higher level seats.
IM GIVING BRAINLIEST!!!PLEASE HELP!!!
The answer is C aka answer 3
I WILL MARK BRAINLST
Answer:
neither a function or a relation
Step-by-step explanation:
The graph does not pass the vertical line test, thus not a function.
In the graph, x-coordinates are not related to y-coordinates through a relation, thus not a relation.
PLEASE HELP!! GIVING 20 PTS!!
Answer:
1. a translation of (-1,3)
2. a reflection across a line through points (0,4) and (3,4)
Carlos deposits $250 into a savings account that earns 4% interest added to it annually. How much interest is added at the end of the year?
The O’Neill Raiders fundraiser has raised $700, which is 28% of their total fundraising goal. What is their total goal?
Sameer scored better than 78% of all students taking a standardized exam. If 650 students took the exam, how many did Sameer score better than?
The interest added at the end of the year is $10, The total goal of O’Neill Raiders fundraiser is $2500 and Sameer scored better than 507 students.
What is Percentage?Percentage is the parts of a number per fraction of 100. We can divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
Initial amount, P = $250
Rate of interest, r = 4% = 0.04
Interest amount = P × r × t, where t is the number of years = 1 here.
= 250 × 0.04 × 1
= $10
28% of the total fundraising goal = $700
Let x be the total fundraising goal.
28% × x = 700
0.28x = 700
x = 700 / 0.28 = $2500
Total number of students = 650
Sameer scored better than 78% of all students.
Number of students that Sameer scored better = 78% × 650
= 0.78 × 650
= 507
Hence all the answers are found.
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Can someone please help me with math.
Answer:
21.c
22.b
23.c
Step-by-step explanation:
The conditional relative frequency table below was generated by column using frequency table data comparing the number of calories in a meal to whether the meal was prepared at home or at a restaurant.
A 4-column table with 3 rows titled number of calories and location of meal preparation. The first column has no label with entries greater than or equal to 500 calories, less than 500 calories, total. The second column is labeled home with entries 0.15, 0.85,1.0. The third column is labeled restaurant with entries 0.55, 0.45, 1.0. The fourth column is labeled total with entries 0.28, 0.72, 1.0.
A nutritionist attempts to determine an association between where food is prepared and the number of calories the food contains. Which is most likely true?
An association cannot be determined because the value 0.55 is similar to the value 0.45.
There is an association because the value 0.15 is not similar to the value 0.55.
There is an association because the sum of each column is 1.0.
An association cannot be determined because the sum of the rows going across is not 1.0.
There is an association because the value 0.15 is not similar to the value 0.55
For the nutritionist to determine whether there is an association between where food is prepared and the number of calories the food contains, there must be an association between two categorical variables.
The conditions that satisfy whether there exists an association between conditional relative frequencies are:
1. When there is a bigger difference in the conditional relative frequencies, the stronger the association between the variables.
2. When the conditional relative frequencies are nearly equal for all categories, there may be no association between the variables.
For the given conditional relative frequency, we can see that there exists a significant difference between the columns of the table in the picture because 0.15 is significantly different from 0.55 and 0.85 is significantly different from 0.45
We can conclude that there is an association because the value 0.15 is not similar to the value 0.55
Answer:
B
Step-by-step explanation:
The Jacksons are taking out a $35,000 loan to remodel their home. The tables below show the rates for a 1-year and 5-year loan from two different lenders. Complete each table to calculate the total repayment and interest paid for each loan offer.
Answer:
look at the screenshot
Step-by-step explanation:
look at the screenshot
The table for total repayment and interest paid for each loan offer:
Loan offer Interest rate Total repayment Total interest paid
1-year loan 6.5% $37,275 $2,275
5-year loan 8.2% $41,570 $6,570
What is simple interest?Simple interest is an amount which is calculated for a certain period of time and for a certain rate, in simple interest calculation there are three factors which we consider: principal amount(P), rate(R) and time(T).
Formula; Simple Interest(I) = P × R × T/100
For the 1-year loan, the total repayment and total interest paid can be calculated as follows:
Total repayment = Principal + Interest = $35,000 + (0.065 x $35,000)
= $37,275
Total interest paid = $37,275 - $35,000
= $2,275
For the 5-year loan, the total repayment and total interest paid can be calculated as follows:
Total repayment = Principal + Interest
= $35,000 + (0.082 x $35,000 x 5)
= $41,570
Total interest paid = $41,570 - $35,000 = $6,570
Loan offer Interest rate Total repayment Total interest paid
1-year loan 6.5% $37,275 $2,275
5-year loan 8.2% $41,570 $6,570
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Express in y=mx+b
3x-2y=8
Fill in the missing operator where the blank is.
18 _ (-20)= -2
Answer:
26
Step-by-step explanation:
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The above diagram shows 4 island countries in the Marina Ocean. Each inch on the map represents a distance of 750 miles. The capital of each island country is marked with a star.
If a pilot takes off from the capital of Orange Island and flies to the capital of Red Island, how far has he flown?
A.
5,500 miles
B.
1,500 miles
C.
3,000 miles
D.
4,500 miles
Answer:
c because each island is 750 and if you x's 4 x750 it gives you 3,000 which is c
Answer:
C.
3,000 miles
Step-by-step explanation:
pls, tell me if wrong have a good night/day <3
Pleasseee I’ll give BRAINLIEST
Answer:
It’s the third option
Step-by-step explanation:
Cuz 4^2 - 2^2 equals the third option
Sarah earns $400 per week and spends 15% of her earnings on transportation. How much does Sarah spend on transportation every week? *
Answer:
60 dollars a week.
Step-by-step explanation:
Just take 15 percent of 400, then you get your answer
pls help? :( brainliest if correct
Which two figures have the same number of bases?
A. cylinder and cone
B. triangular pyramid and cone
C. cone and triangular prism
D. triangular pyramid and cylinder
Answer:
Option C is the Correct Answer
2.
Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
[tex]\angle C= 180 - ( 26 + 51 )\\\\C = 103^{\circ}[/tex]
applying the law of sines to find the unknown sides:
[tex]\to \frac{a}{\sin A} = \frac{c}{\sin C}\\\\\to \frac{a}{\sin 26} = \frac{28}{\sin 103}\\\\a=\frac{28 \times \sin 26 }{\sin 103}\\\\a=\frac{28 \times 0.438371147 }{0.974370065}\\\\a=\frac{12.2743921 }{0.974370065}\\\\a=12.597259\\\\a=12.59\\\\a = 12.6 \ m\\\\[/tex]
[tex]\to \frac{b}{\sin 51} = \frac{28}{\sin 103}\\\\\to b=\frac{28 \times \sin 51 }{\sin 103}\\\\b=\frac{28 \times 0.777145961 }{0.974370065}\\\\b=\frac{21.7600869 }{0.974370065}\\\\b=22.3324681\\\\b=22.3\\\\b = 22.3 \ m\\\\[/tex]
so,
[tex]\angle C = 103^{\circ}\\\\\to AC = 22.3\ m\\\\\\to BC = 12.6 \ m[/tex]
HELP ME PLEASEE Select all of the following that could be classified as a Perfect Square Trinomial.
Son el B el C y el E
A shoe store donated a percent of every sale to charity. a the total sales were $9,800 so the store donated $588. What percent of $9,800 was donated to charity?
Answer:
They donated 6%.
Step-by-step explanation:
The total sales were $9800.
The amount donated is $588.
We want to know what percent of 9800 is 588.
Let's make an equation.
what percent of 9800 is 588
x/100 • 9800 = 588
Divide by 9800.
x/100 = 0.06
Multiply by 100.
x = 6
They donated 6%.
Hope this helps!
The question is right there please read and help I’ll give u Branliest plz