Answer:44
Step-by-step explanation:
An industrial psychologist consulting with Lara music stores knows that the average number of complaints management receives each month throughout the industry is 6, but the standard deviation is unknown. Twenty of the Lara music stores were randomly selected to record complaints for one month; the mean of this sample was 3 and its standard deviation was 1.5. Using the .05 significance level, is the number of complaints received by Lara music stores different from the number of complaints received by music stores in general
Answer:
Step-by-step explanation:
H0 : μ ≥ 6
H1 : μ < 6
Test statistic :
n = 20
Sample Mean, x = 3
σ = 1.5
Test statistic = (x - μ) ÷ σ/sqrt(n)
Test statistic = (3 - 6) ÷ 1.5/sqrt(20)
Test statistic = - 3 / 0.3354101
Test statistic = −8.944271
Since, sample size is < 30 ;
Obtaining the Critical value using the from T;
Tcritical at 0.05, df = 19 = - 1.729
Tstatistic < Tcritical
−8.944271 < - 1.729
Hence, we reject the Null:
We can conclude that there is significant evidence that the number of complaints received by Lara music store is different from number of complaints received by music stores in general.
.
Triangle ABC was transformed to create triangle A'B'C'.
А
B
с
x
3
4
5
67
A
AN
A
В'
C
Which rule best describes this transformation?
А
(x, y) = (x,y - 7)
B
(x, y) (x, y)
С
(x, y) - (x - 7,Y)
D
(x, y) - (-x, y)
Answer:
A
Step-by-step explanation:
Hello There!
The y value of ABC was subtracted by 7 to get to the figure A'B'C'
So the rule for the given transformation would be
(x,y) ---> (x,y-7)
Rohan bought an almirah for Rs 15,600 and spent Rs 400 on its transportation. The total C.P is __________
From the question,
Rohan bought an almirah for =Rs.13600= cost price
Transportation cost =Rs.400
The total cost price of almirah =Rs.(13600+400)
The total cost price of almirah =Rs.(13600+400)=Rs.14000
He sold it for =Rs.16800= selling price
By comparing SP and CP=SP>CP, so there is a gain
Gain=SP−CP
=16800−14000
=Rs.2800
Gain %={(gain/CP)×100}
={(2800/14000)×100}
={2800/140}
=20%
In ΔOPQ, the measure of ∠Q=90°, OP = 7.7 feet, and PQ = 4.1 feet. Find the measure of ∠O to the nearest degree.
Answer:
32 degrees
Step-by-step explanation:
Answer:
32 degrees
Step-by-step explanation:
The mean age of 6 women in an office is 34 years old. The mean age of 8 men in an office is 34 years old. What is the mean age (nearest year) of all the people in the office?
Step-by-step explanation:
204+272/14=34 years old
If an equilateral triangle has a height of 8 metres find the length of each side. Round your answer to 2 decimal places.
Answer:
9.24 m to 2 DP's.
Step-by-step explanation:
Consider the right triangle formed from a side , altitude and 1/2 the base.
By pythagoras:
x^2 = 8^2 + (0.5x)^2 where x is the length of each side.
x^2 - 0.25x^2 = 64
0.75x^2 = 64
x^2 = 64/0.75 = 85.3333.
x = 9.2376 m.
HELP PLEASE ANSWER AND EXPLAIN PLEASE ILL MARK BRAINLIEST
Answer:
[tex]\boxed {\boxed {\sf 3 \ pounds \ of \$4 \ candy}}[/tex]
[tex]\boxed {\boxed {\sf 2.5 \ pounds \ of \$3.50 \ candy}}[/tex]
Step-by-step explanation:
Let's create a system of equation. First, define the variables. One type of candy is x and the other is y.
Now, create 2 equations, one for the weight and one for the price.
[tex]x+y=5.5[/tex]
[tex]4x+3.5y=20.75[/tex]
The first equation represents the mixture of both types of candy that weighs 5.5 pounds. The second represents the prices of the candy and the mixture.
Next. solve for the variables using substitution. Isolate a variable in the first equation. Let's isolate y by subtracting x.
[tex]x-x+y=5.5-x\\y= 5.5-x[/tex]
Now, we know what y is equal to, so we can substitute it into the second equation.
[tex]4x+ 3.5 (5.5-x)= 20.75[/tex]
Distribute the 3.5. Multiply each term by 3.5
[tex]4x+(3.5*5.5)+(3.5*-x)[/tex]
[tex]4x+19.25-3.5x= 20.75[/tex]
Combine like terms on the right side.
[tex]0.5x+19.25=20.75[/tex]
Subtract 19.25 from both sides of the equation to isolate the variable.
[tex]0.5x+19.25-19.25=20.75-19.25[/tex]
[tex]0.5x= 1.5[/tex]
Divide both sides by 0.5.
[tex]\frac {0.5x}{0.5}= \frac{1.5}{0.5}\\x=3[/tex]
Now we can substitute x back into the first equation and solve for y.
[tex]x+y=5.5\\3+y=5.5[/tex]
Subtract 3 from both sides to isolate the variable.
[tex]3-3+y=5.5-3\\y=2.5[/tex]
There was 3 pounds of the $4 candy and 2.5 pounds of the $3.50 candy.
A car dealership allows you to customize your new car. You can choose between blue, red, black, or silver paint. The interior comes in leather or cloth. You can also choose between a manual or automatic transmission. How many different new cars can you create?
a 32
b 16
c 8
d 10
Answer:
I think the answer is 16 option b
you drink a beverage with 120mg of caffeine each hour the caffeine in your system decreases by about 12% how long until you have 10 mg of caffeine
Answer::
Step-by-step explanation:
40 cm equals how many mm
Answer:
40 cm equals 400 millimeters
I hope this helps you
How many words did she type in 1 min
Answer:
she types w amount of words per minute
Given that n is an integer, prove that 6 is a factor ofn3+ 5n
Answer:
n3+5n=6
taking common as n
n(5+3)=6
n8=6
 easy 5th grade math please look at photo and answer.Giving brainliest!!
Answer:
the answer to this is D
Step-by-step explanation:
Have a great day
Answer:
d.
Step-by-step explanation:
a., b., and c. are true.
A square has two sets of parallel opposite sides, so d. is false.
Answer: d.
Can someone please help me with questions 12 through 14 with the answer correct I was trying but I don’t know what I put down is right it’s a beat confuse anyone please
Answer:
thats right
Step-by-step explanation:
You buy a $90 item and it is discounted by $18. What is the discount's percentage?
Answer:
Hey the answer is 20%.
Step-by-step explanation:
You multiply the $90 with 20%,
but in order to figure that out you need to:
Calculate the savings: 20% of $90 = $18.
Subtract the savings from the original price to get the sale price: $90 - $18 = $72. You're all set!
Round to the nearest cent. $76,028.85614 $76,028.85614 $ (Round to the nearest cent.)
Answer:
76,028.85610 ! Your welcome :)
Step-by-step explanation:
giving brainliest ! *easy*
pi = 180
3(180) 540
-------- = -------
5 5
Answer is 108 degrees
Compound area figuring out this problem . Thank you for those who are able to help with this .
Answer:
Finding the bottom area:
12 + 2 = 14 x 2 = 28
Triangle Area: 4 + 2 = 6 x 4 = 24 divided by 2 is 12
Top left figure area is:
2 x 8 = 16
Add all of it together: 28 + 12 + 16 = 56
To pour the concrete sidewalk shown in the figure, approximately how many cubic feet of topsoil will you need to remove for the 4"-thick sidewalk if the owner wants the finish surface of the sidewalk to be level with the adjacent topsoil? ROUND YOUR ANSWER TO THE NEAREST CUBIC FOOT. _____ cu ft
Answer: 109 cu ft
Step-by-step explanation: had it on a test
Write and simplify an algebraic expression for the rectangle with sides of 2x and 6x-1
giving brainliest ! *easy*
Answer:
170
Step-by-step explanation:
17π/18 * 180/π
17*180/18
=170
Which table shows x- and y-values for 3 points on the line graphed below?
Please help best answer will get brainly
The average of 15 test scores is 80. If the average of first eight test scores is 65 and that of the last eight test scores is 70, then the eighth score is 80.
True or False?
Answer:
FalseStep-by-step explanation:
The average of 15 test scores is 80.
The total is:
15*80 = 1200The average of first eight test scores is 65.
The total is:
8*65 = 520The average of last eight test scores is 70.
The total minus 8th score is:
8*70 - 80 = 480The sum gives us the total of 15 scores:
520 + 480 = 1000 < 1200The answer is FALSE
Which two numbers are exactly 10 units away from 5?
Answer:
-5 and 15
Step-by-step explanation:
10±5 = -5, 15
please help me with this question!!!!!!!!!!!!!
Answer:
3 times 4 = 12 BIG BRAIN!!!
Answer:
12/4 =c
Step-by-step explanation:
- 10(i + 5) = 2(21 + 3)
need help asap
Answer:
-9.8
Step-by-step explanation:
-10i -50 = 2(24)
-10i = 48+50
-i= 98/10
i= -9.8
Please help and give brainliest answer
A lunch menu consists of 8 different sandwiches, 5 different soups, and 5 different drinks. How many choices are there for ordering a sandwich, a bowl of soup, and a drink?
A) 291
B) 18
C) 200
D) 296
MATH CHALLENGE 30 POINTS
Hey guys, here’s a math challenge for u. Fill in the missing slots. All the rows, columns, and diagonals have to have the same sum. First person to get the correct answer will get brainliest and a thanks. Go!
Answer:
21 24 9
6 18 30
27 12 15
Step-by-step explanation:
Determine which equation has the same solutions as the given equation.
x2 − 10x − 11 = 0
A.
(x − 10)2 = 36
B.
(x − 5)2 = 36
C.
(x − 5)2 = 21
D.
(x − 10)2 = 21
I just want to mention that the question is wrongly written!
it's meant to be x² − 10x − 11 = 0 and not x2 − 10x − 11 = 0
and so the other equations!
Answer:
The answer is B: (x − 5)² = 36
Step-by-step explanation:
by solving the equations using the quadratic formula we found:
the solutions for x² − 10x − 11 = 0 | x = 11, -1
the solutions for A | x = 16, 4
the solutions for B | x = 11, -1
the solutions for C | x = [tex]\sqrt{21} +5[/tex], [tex]-\sqrt{21}+5[/tex]
the solutions for D | x = [tex]\sqrt{21}+10, -\sqrt{21}+10[/tex]
the given equation: x² − 10x − 11 = 0 and the equation B: (x − 5)² = 36 have the same solutions
Therfore B is the correct answer