Answer:
(20.322 ; 23.678)
Step-by-step explanation:
Given that :
ΣΧ = 242 ; ΣΧ2 = 5,413 ; N = 11
Mean, m = ΣΧ / N = 242 / 11 = 22
Standard deviation = sqrt[(ΣΧ2/N) - (ΣΧ/N)²]
Standard deviation = sqrt[(5413/11) - (242/11)^2]
Standard deviation = sqrt(8.0909090) = 2.84
Confidence interval = m ± Zcritical * s/sqrt(n)
Zcritical at 95% = 1.96
Lower boundary = 22 - 1.96*2.84/sqrt(11)
Lower boundary = 22 - (1.96 * 0.8562922) = 20.322
Upper boundary = 22 + (1.96 * 0.8562922) = 23.678
A student started out poorly on his first mathematics test. However, he doubled his score on each of the next two tests. The third test grade was 100. What was the student’s average test grade? Round to the nearest tenth.
150 into the ratio 4:11
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Answer:
40 : 110
Step-by-step explanation:
There are a number of ways you can go at this. One of my favorite is to consider the value of a "ratio unit." Here, a total of 4+11 = 15 "ratio units" represent the total to be divided: 150. So the value of each one is ...
150/15 = 10
Then the division is ...
4 : 11 = 10·4 : 10·11 = 40 : 110
_____
Alternate solution
Let x represent the larger share. Then the ratio is ...
(150 -x) : x = 4 : 11
Cross-multiplying gives ...
11(150 -x) = 4x
1650 = 15x . . . . . add 11x, simplify
110 = x . . . . . . . . . divide by 15; the larger share
150-x = 150-110 = 40 . . . . . . the smaller share
The division is 40 : 110.
Please help. Find the value of x. Round to
the nearest tenth.
Enter the number that belongs in
the green box
Answer:
[tex]x =13.7[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find x
The relationship between x, 47 and [tex]17^{\circ}[/tex] is:
[tex]sin(17^{\circ}) = \frac{x}{47}[/tex]
i.e.
[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
Solving further:
[tex]sin(17^{\circ}) = \frac{x}{47}[/tex]
Make x the subject
[tex]x = 47 * sin(17^{\circ})[/tex]
[tex]x = 47 * 0.2924[/tex]
[tex]x =13.7428[/tex]
[tex]x =13.7[/tex] --- approximated
Simplify
8sqrt48-6sqrt75+7sqrt80
Answer:
2[tex]\sqrt{3}[/tex] + 28[tex]\sqrt{5}[/tex]
Step-by-step explanation:
= 8 [tex]\sqrt{16}[/tex][tex]\sqrt{3}[/tex] - 6[tex]\sqrt{25}[/tex][tex]\sqrt{3}[/tex] + 7[tex]\sqrt{16}[/tex][tex]\sqrt{5}[/tex]
= 8(4)[tex]\sqrt{3}[/tex] - 6(5)[tex]\sqrt{3}[/tex] + 7(4)[tex]\sqrt{5}[/tex]
= 32[tex]\sqrt{3}[/tex] - 30[tex]\sqrt{3}[/tex] + 28[tex]\sqrt{5}[/tex]
= 2[tex]\sqrt{3}[/tex] + 28[tex]\sqrt{5}[/tex]
Consider the expression.
6 · 60 · 6–3
Which statements are true about the expression? Check all that apply.
The 6 without an exponent is equivalent to the 6 having a 0 exponent.
The sum of the exponents is 2.
Multiply the exponents to simplify the expression.
The expression has a value of StartFraction 1 Over 36 EndFraction.
An equivalent expression is 65 · 6-7.
Answer:
4. The expression has a value of 1/36 . True
5. An equivalent expression is (6)^5. (6)^- 7 True
Step-by-step explanation: Not true. The 6 without an exponent is equivalent to the 6 having a 0 exponent.
Any number having an exponent zero has a value equal to 1.
6 · (6)^0 · (6)^–3
= 6.1.1/216
= 1/36
= (6)^-2
2. The sum of exponents is 2.
False ( the sum of exponents is -2)
3.Multiply the exponents to solve the expression .
False when the bases are the same the exponents are added or subtracted.
4. The expression has a value of 1/36 .
True
5. An equivalent expression is (6)^5. (6)^- 7
True
the correct answers are D and E. I just got this right. hope it helps
in a box of colored light, 1/2 of the light are red, 1/3 of the light are blue, and 1/6 lf the lights are green. the number of lights in the box is greater than 10. what ia the smallest number of lights that could be in the box?
Answer:
Step-by-step explanation:
Will mark brainliest!!
The graph shows Wilson's science scores versus the number of hours spent doing science homework.
What will most likely be Wilson's approximate science score if he does science homework for 6 hours a week?
33 points
42 points
52 points
55 points
Answer:
55 points
Step-by-step explanation:
equation is close to y = 7.1x + 15
y = 7.1(6) + 15 comes closest to 55
In addition to his hourly rate, Mr. Smith is paid $2.20 for each watch he fixes. Write an expression for his income if he fixes r watches per hour?9.5 is hourly rate.
Step-by-step explanation:
y = hourly income
r = number of watches fixed
equation: y = 2.20r + 9.5
There are 31 students in a class.
The only languages available for the class to study are French and Spanish.
17 students study French.
15 students study Spanish.
6 students study neither French nor Spanish,
Using a Venn diagram, or otherwise, work out how many students study only one
language.
Answer:
24 students where studying one language
Step-by-step explanation:
HELP ME I need help with a 7th grade math test anyone willing to help me
Answer: A: x= -3 B: x= 7/3 C: x= 11/2 D: 58 1/3
for the first 4 questions
5
7
−
2
+
7
=
1
1
1
Answer:
Step-by-step explanation:
57-2=55
55+7=62
it does not equal 111
What is the area and circumference of the circle?
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Answer:
area: 36π ≈ 113.1 . . . . square unitscircumference: 12π ≈ 37.7 . . . . unitsStep-by-step explanation:
The area formula is ...
A = πr^2
A = π(6^2) = 36π ≈ 113.1 . . . . square units
__
The circumference formula is ...
C = πd
C = π(12) = 12π ≈ 37.7 . . . . units
Gentry Industries has the following information about maintenance costs in the past six months.
Month Machine _Hours Amount
January 200 $2,800
February 350 3,000
March 450 4,000
April 500 5,000
May 600 5,200
June 580 5,800
How much would Gentry pay if maintenance machine hours are 550?
Answer:
Total cost= $5,425
Step-by-step explanation:
Giving the following information:
Month Machine _Hours Amount
January 200 $2,800
February 350 3,000
March 450 4,000
April 500 5,000
May 600 5,200
June 580 5,800
First, we need to calculate the fixed and variable costs. To do it, we will use the high-low method:
Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)
Variable cost per unit= (5,800 - 2,800) / (600 - 200)
Variable cost per unit= $7.5 per hour
Fixed costs= Highest activity cost - (Variable cost per unit * HAU)
Fixed costs= 5,800 - (7.5*600)
Fixed costs= $1,300
Fixed costs= LAC - (Variable cost per unit* LAU)
Fixed costs= 2,800 - (7.5*200)
Fixed costs= $1,300
Now, we can determine the total cost for 550 hours:
Total cost= 1,300 + 7.5*550
Total cost= $5,425
Andre has a puppy that weighs 9 pounds the vet says the puppy is now at 30% of its adult weight what will the adult weight of Andres puppy be
The adult weight of the puppy of Andre puppy be 30 pounds.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Andre has a puppy that weighs 9 pounds.
The vet says the puppy is now at 30% of its adult weight.
Let n pounds be the weight of an adult.
Using the percentage formula,
9 = 30 x n /100
n = 900/30
n = 30 pounds
Therefore, adult puppy weight is 30 pounds.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
Blakes goes from averaging 8 hours of sleep for a school night to averaging 6.5 hours of sleep on the weekend. What is the percent of change in the average hours of his sleep? (HOW DID YOU GET YOUR ANSWER PLEASE SHOW YOUR WORK. DO NOT BOTHER ANSWERING IF YOU DO NOT TELL ME HOW YOU GOT YOUR ANSWER!!)
A. 36
B. 70
C. 1/462
D. 6(4X+3Y-2)
E. 18.75
F. 23.36
G. 2.54
H. 36.3
I. 6(4X-3Y+2)
Answer:
Step-by-step explanation:
So Blakes sleep 8 hours per night during the school day
8 hours/night...................................100%
6.5 hours/night...................................?
6.5*100/8=81.25
the change in percentage is 100-81.25=18.75%
the percentage change is 18.75
if it is easier for you, another method is:
8-6.5=1.5 subtract the original amount to the new amount
1.5/8=0.1875 divide by the original amount
0.1875*100=18.75 find the percentage
Which is a true statement?
Answer:
A
Step-by-step explanation:
-18 is an integer and a whole number
Brandon treated his friends to lunch which cost him $32.60. He left a 20% tip for the waitress. How much was his total bill including tip?
Answer:
39.12
Step-by-step explanation:
First you find 20% of 32.60
32.6 * 20/100
32.6 * 0.2
= 6.52
So the tip is $6.52
Add the tip and the regular cost
32.60 + 6.52 = 39.12
$39.12 is the total amount he paid
The measure of the complement of a 69° angle is
42 out of 90 is what percentage?
Answer:46.6%
Step-by-step explanation: multiply 42 by 100 than divide that by 90
Write the word sentences as an inequality.
A number b is at least -3.
An inequality that represent this word sentences is?
Answer:
b >= -3
Step-by-step explanation:
The b is at least meaning that it can also be equal to -3.
Pls help me this is 7th grade (ADVANCED)
Answer:
it (6,18,23)
Step-by-step explanation:
A company is expanding its building area from 13,500 square feet to 19,440 square feet. What is the percentage increase of the area of the building space?
A.
4.4%
B.
44%
C.
59.4%
D.
56%
How many lines of symmetry does a trapezoid have
g An orange juice producer buys oranges from a large orange grove that has one variety of orange. The amount of juice squeezed from these oranges is approximately normally distributed, with a mean of 4.70 ounces and a standard deviation of 0.40 ounce. Suppose that you select a sample of 25 oranges. a. What is the probability that the sample mean amount of juice will be at least 4.60 ounces
Answer: An orange juice producer buys oranges from a large orange grove that has one variety of orange. The amount of juice squeezed from these oranges is approximately normally distributed, with a mean of 4.70 ounces and a standard deviation of 0.40 4. ounce. hope i helped
Step-by-step explanation:
In how many different ways can you divide the shape to get the same number and type of shapes you obtained in part A?
Answer:
There are two ways of decomposing these shapes, Into two rectangles and one triangle!
Step-by-step explanation:
Just did this on EDMENTUM you got thiss!
Dont forget to eat a brownie! <3
Answer:
There are two ways of splitting the shape into two rectangles and one triangle.
Step-by-step explanation:
Jack is growing Red wiggler worms to help make compost. He measured the lengths of two young worms. The 10- day old worm is 10/12 inch long. The 20-day old worm is 1 4/6 inches long. About how much longer is the 20- day old worm than the 10-day old worm? Explain how you found your estimate. 1
Answer:
Answer: The 20-day old worm is inches more longer than the 10-day old worm. If someone says the same thing as me, they copied me—
Step-by-step explanation:
can i get a brainliest-?
3x-7 if x =6 i need help plz
11
Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.
5÷480 I’m trying to figure this out but when I get my answer it has a remainder
Answer:
The answer is 96.
Step-by-step explanation:
5 goes into 48, 9 times. 48 minus 45 is 3, bring down the zero to get 30. 5 goes into 30 6 times. So 30 minus 30 equals zero.
12. Suppose a reward for a CS follows a probabilistic schedule. If the probability of receiving the reward increases then: a) firing will increase for CS and increase for US b) firing will increase for CS and decrease for US c) firing will decrease for CS and decrease for US d) firing will decrease for CS and increase for US e) none of the above; firing will remain unchanged for CS and US
Answer:
d) firing will decrease for CS and increase for US
Step-by-step explanation:
The is the answer going by the probabilistic nature of the schedule. That is, as the probability of relieving reward increase has a direct effect on the CS leading to its decrease as well as a proportional increase for US. On the other hand, a decrease of probability of receiving reward will have an opposite effects on the schedule.
Victor has some model planes. Last weekend, Victor and his grandfather built four more model planes to add to his collection. Now Victor has a total of 42 model planes.
Part A: In the first box, enter an equation to represent the number of planes, x, Victor originally had.
Part B: In the second box, enter the number of planes represented by x in this situation.
Answer:
x = 42 - 4
x = 38
Step-by-step explanation:
Given that :
Initial number of plane models = x
Number of additional models built = 4
Total number of planes = 42
Total = initial amount + additional amount
42 = x + 4
Make x the subject
42 - 4 = x + 4 - 4
x = 42 - 4
X + 4 = 42
X = 42 - 4
X = 38
