Answer:
.923 goals per game
Step-by-step explanation:
All you have to do is divide the number of goals by the number of games.
767/831 = .923
What is the slope of a line that is perpendicular to the line y = 1/6+ 4
+4?
Answer:
y = 6x + 8?
Step-by-step explanation:
The starting equation was unclear but if its perpindecular, flip the given slope. For example, if the slope was 3/4, its perpindecular slope would be 4/3.
Five friends went to the zoo.
• Tickets cost $8.50 each.
• Each person purchased a drink for $3.50
• Three of the people had a discount coupon for $2.50 off the cost of admission,
• The friends split the total cost equally.
How much did each person spend?
А A
$10.13
B. $10.50
c С
$11.50
D
$12.00
Answer:
B . 10.50
Why ? Because 8.50+3.50=12 , Then 12 × 5 = 60 , 2.50×3=7.5 , 60-7.5= 52.5 . divide 52.5 by 5 = 10.50 . So each friend paid 10.50
If the cafeteria has 80 customers on Tuesday, which prediction for Tuesday is NOT supported by the data in the table
Answer:
the day.
step-by-step: you dont need the day
Answer:
G
Step-by-step explanation:
Show your work for this one
Step-by-step explanation:
multipy the two sides by 2
n+4= -16
move the constant to the right change its sign
n= -16 - 4
calculate the difference
N= - 20
Answer:
[tex]n=-20[/tex]
Step-by-step explanation:
1) Subtract 2 from both sides.
[tex]\frac{n}{2} =-8-2[/tex]
2) Simplify −8−2 to −10.
[tex]\frac{n}{2} =-10[/tex]
3) Multiply both sides by 2.
[tex]n=-10*2[/tex]
4) Simplify 10 * 2 to 20.
[tex]n=-20[/tex]
Therefor, the answer is n = - 20.
If 70% of a number is 126 and 95% of the same number is 171, find 25% of that number.
Answer:
45
Step-by-step explanation:
70%=126
100%=?
100×126=12600÷70
=180
100=180
25=?
25×180÷100
=45
calculate the slope line that passes through points (0,3) (2,9)
ollities
Assignment
Active
Calculating a Z-Score from a Percentile
The prices of paperbacks sold at a used bookstore are Complete the sentences.
approximately Normally distributed, with a mean of $7.85 To find the Z-score for the 56th percentile means that
and a standard deviation of $1.25.
the area above the z-score will be
and the
Use the z-table to answer the question.
area below the Z-score will be
The Z-score for the 56th percentile is
V
Answer:
Complete the sentences.
To find the z-score for the 56th percentile means that
the area above the z-score will be ✔ 0.44 and the
area below the z-score will be ✔ 0.56.
The z-score for the 56th percentile is ✔ 0.15
*you typed the question weird, but I hope this helps*
Answer:
To find the z-score for the 56th percentile means that the area above the z-score will be
✔ 0.44
and the area below the z-score will be
✔ 0.56
.
The z-score for the 56th percentile is
✔ 0.15
.
Step-by-step explanation:
edge 2023
Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.78.
(a) Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 15 specimens from the seam was 4.85. (Round your answers to two decimal places.)
(b) Compute a 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56. (Round your answers to two decimal places.)
(c) How large a sample size is necessary if the width of the 95% interval is to be 0.46? (Round your answer up to the nearest whole number.)
(d) What sample size is necessary to estimate true average porosity to within 0.18 with 99% confidence? (Round your answer up to the nearest whole number.)
Answer:
a) The 95% CI for the true average porosity of a certain seam if the average porosity for 15 specimens from the seam was 4.85 is (4.46, 5.24).
b) The 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56 is (4.01, 5.11).
c) A sample size of 12 is needed.
d) A sample size of 125 is needed.
Step-by-step explanation:
(a) Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 15 specimens from the seam was 4.85.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{0.78}{\sqrt{15}} = 0.39[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 4.85 - 0.39 = 4.46
The upper end of the interval is the sample mean added to M. So it is 4.85 + 0.39 = 5.24
The 95% CI for the true average porosity of a certain seam if the average porosity for 15 specimens from the seam was 4.85 is (4.46, 5.24).
(b) Compute a 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56. (Round your answers to two decimal places.)
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.327\frac{0.78}{\sqrt{11}} = 0.55[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 4.56 - 0.55 = 4.01
The upper end of the interval is the sample mean added to M. So it is 4.56 + 0.55 = 5.11
The 98% CI for true average porosity of another seam based on 11 specimens with a sample average porosity of 4.56 is (4.01, 5.11).
(c) How large a sample size is necessary if the width of the 95% interval is to be 0.46?
95% CI means that [tex]z = 1.96[/tex]
A sample of n is needed, and n is found when M = 0.46. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.46 = 1.96\frac{0.78}{\sqrt{n}}[/tex]
[tex]0.46\sqrt{n} = 1.96*0.78[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.78}{0.46})^2[/tex]
[tex]n = 11.05[/tex]
Rounding up
A sample size of 12 is needed.
(d) What sample size is necessary to estimate true average porosity to within 0.18 with 99% confidence?
99% CI means that [tex]z = 2.575[/tex]
A sample of n is needed, and n is found when M = 0.18. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.18 = 2.575\frac{0.78}{\sqrt{n}}[/tex]
[tex]0.18\sqrt{n} = 2.575*0.78[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.78}{0.18})^2[/tex]
[tex]n = 124.5[/tex]
Rounding up
A sample size of 125 is needed.
0.8 as a fraction??
You can give your answer
Answer: 4/5
Step-by-step explanation:
0.8 = 8/10 = 4/5
Answer:
4/5
Step-by-step explanation:
Will the product of 22.65 x 0.999 be greater than or less than 22.65? Without calculating, explain how you know.
It will be less since as common knowledge, it's a decimal so it'll be a little bit less
Simplify the following expression
6y + 8 - 2y + 5y - 9
Answer: 9y-1
:))))))))))))))))))))
Covert 2/3 years to months
Answer:
7.9 or if you need to round it,it will be 8
Step-by-step explanation:
dont have a explanation nut i hopes this help.
Three of the sides will require fencing and the fourth wall already exists. If the farmer has 144 feet of fencing what is the largest area the farmer can enclose ?
Complete question is;
A farmer is building a fence to enclose a rectangular area against an existing wall. Three of the sides will require fencing and the fourth wall already exists. If the farmer has 144 feet of fencing, what is the largest area the farmer can enclose?
Answer:
A_largest = 2592 ft²
Step-by-step explanation:
Let the width which is going to be perpendicular to the already existing fourth wall be denoted by y. Since there will be 2, it means total width = 2y.
Since the farmer has 144 ft of fencing and the total width is 2y,it means that the length of the fence will be expressed as;
Length = 144 - 2y
Area of rectangular fencing is;
A = y(144 - 2y)
A = 144y - 2y²
To find the largest area, we will find the first derivative and the equate to 0 after which we plug the value of y back into the area equation to get it.
dA/dy = 144 - 4y
At dA/dy = 0;
144 - 4y = 0
y = 144/4
y = 36 ft
Thus, largest area is;
A_largest = 144(36) - 2(36)²
A_largest = 2592 ft²
The largest area the farmer can enclose with the fence with him will be 2592 square feet.
Let the length of the field = [tex]x[/tex] feet
And the width of the field = [tex]y[/tex] feet
Therefore, area of the rectangular field = Length × Width
A = [tex]x\times y[/tex] square feet
Since, length of the fence = 144 feet
And the farmer has to enclose three sides of the rectangle as shown in the figure attached.
Therefore, length of the fence = length + 2(width)
= [tex](x+2y)[/tex] feet
Hence, [tex](x+2y)=144[/tex]
[tex]x=144-2y[/tex]
By substituting the value of 'x' in the expression for the area of the rectangular field.
[tex]A=(144-2y)y[/tex]
[tex]A=-2y^2+144y[/tex]
Find the derivative of the expression with respect to [tex]y[/tex],
[tex]A'=-4y+144[/tex]
Now equate it to zero to get the value of y,
[tex]A'=-4y+144=0[/tex]
[tex]y=36[/tex]
Now substitute the value of 'y' in the expression of area to get the maximum area enclosed.
[tex]A=-2(36)^2+144(36)[/tex]
[tex]=-2592+5184[/tex]
[tex]=2592[/tex] square feet
Therefore, maximum area the farmer can enclose with the 144 feet of fencing will be 2592 square feet.
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B:
The usual monthly expenses of midas family is 3500.00 for their electric and and with bill, 10,
000 for house and 5,000.00 for their food. The rest of their income will be their savings How much
will be their savings if the couple both earn 10,000.00each
Answer:
$1,500
Step-by-step explanation:
Income - Expenses = Savings
Income = 2 × 10,000 = $20,000
Expenses = 3,500 + 10,000 + 5,000 = $18,500
$20,000 - $18,500 = $1,500 left for Savings
Which quadratic relation has a y-intercept of 8?
O y = 0.5(x + 2)(x + 4)
O y = 0.5 (x - 2)(+ 8)
O y = 0.5(x2 -2x - 16)
O y = 0.5 (x2 -2x + 16)
Answer:
y = 0.5 (x^2 -2x + 16) has a y-intercept of 8.
Step-by-step explanation:
The x-coordinate of every y-intercept is zero. To determine which of the four quadratics given here has a y-intercept of 8, we need only substitute 0 for x in each; if the result is 8, we've found the desired quadratic.
O y = 0.5(x + 2)(x + 4) becomes y = 0.5(2)(4) = 4 (reject this answer)
O y = 0.5 (x - 2)(x + 8) becomes y = 0.5(-2)(8) = -8 (reject)
O y = 0.5(x2 -2x - 16) becomes y = 0.5(-16) = -8 (reject)
O y = 0.5 (x2 -2x + 16) becomes y = 0.5(16) = 8 This is correct; that '8' represents the y-intercept (0, 8).
what is the quotient of the polynomials shown below? (10x^3+16x^2+16)÷(2x+4)
Answer:
5x^2 - 2x + 4
Step-by-step explanation:
Read each of the statements that describe possible decompositions of the polygon in the image into two triangles that can represent the area of the polygon For each statement, determine if "Yes, it is a possible decomposition" or "No, Is it not a possible decomposition and explain your reasoning.
Statement A: the area of triangle GHL plus of triangle HIJ
Statement B: the area of triangle GHK plus the area triangle HIK
Statement C: the area of triangle GHK plus the area of triangle ILK
Statement D: the area of triangle GHK plus the area of triangle ILK
The statements to determine the area of the polygon by division into triangles are evaluated as follows;
Statement A: the area of triangle GHL plus of triangle HIJ --NoStatement B: the area of triangle GHK plus the area triangle HIK --YesStatement C: the area of triangle GHK plus the area of triangle ILK. --NoStatement D: the area of triangle GHK plus the area of triangle ILK. --NoPolygons and TrianglesFrom the given description;
The polygon given can only be divided into two triangles if divided into triangles; GHK and HIK.
Hence, it follows that the area of triangle GHK plus the area triangle HIK is equivalent to the area of the given polygon.
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How many distinct variables does the expression below
contain?
2x^5+xy^4-zx
Can someone please help me
Answer:
135ft^3
Step-by-step explanation:
Volume for triangular prism = 1/2bhl
v=1/2*6*5*9= 135
Which of the following numbers is a perfect square?
1 489
2 485
3 490
4 484
Answer:
3490 is the perfect square
Answer:
490 is the correct answer
Step-by-step explanation:
1 point
At a cost of $200, your club bought 175 frisbees to sell at the pep rally. You plan on selling them for $5 each. Which of the following represents the profit function, P.
after selling a certain number of frisbees, f.
Answer:
p(f)=5f-200
Step-by-step explanation:
----------------
A square picture frame with each side length represented by 3x -
5 has a perimeter of 52 inches. What is the value of x?
A. x = 3
u
B. x = 5
C. x = 6
D. x = 13
Answer:
C. X=6
Step-by-step explanation:
Length of one side =52/4= 13
3X-5= 13
3x = 13+5
X= 18/3
X= 6
Are the sets equivalent?
2) A = {17, 19, 21, 23, 25)
16.
B = {18, 20, 22, 24, 26}
Answer:
Step-by-step explanation:
number of elements in set A=5
number of elements in set B=5
so they are equivalent.
PLEASE SOMEONE HELP ME
Answer:
X=22
Step-by-step explanation:
90-68=22
It takes 7 gardeners 8 hours to plant 1 680 seedlings on a piece of land.
Calculate (in hours and minutes) how long it would take 12 gardeners to
plant the seedlings
Answer:
4 hours, 40 minutes
Step-by-step explanation:
1680 ÷ 8 hours = 210 seeds per hour for 7 gardeners
30 seeds per hour per gardener
30 x 12 = 360 seeds per hour for 12 gardeners
4.66 hours to plant. which is 4 hours and 40 minutes
Cellulon, a manufacturer of home insulation, wants to develop guidelines for builders and consumers on how the thickness of the insulation in the attic of a home and the outdoor temperature affect natural gas consumption. In the laboratory, it varied the insulation thickness and temperature. A few of the findings are:
Monthly Natural Gas Consumption (cubic feet), Thickness of Insulation (inches), Outdoor Temperature (ºF),
y x1 x2
30.3 6.0 32.0
25.2 12 40
30.5 8 49
On the basis of the sample results, the regression equation is:
yˆ y^ = 57.25 − 1.07x1 − 0.64x2
According to the regression equation, the predicted Monthly Natural Gas Consumption (ŷ) can be estimated by subtracting 1.07 times the Thickness of Insulation (x1) and 0.64 times the Outdoor Temperature (x2) from 57.25.
The regression equation provided is:
ŷ = 57.25 - 1.07x1 - 0.64x2
Where:
ŷ represents the predicted value of Monthly Natural Gas Consumption (cubic feet)
x1 represents the Thickness of Insulation (inches)
x2 represents the Outdoor Temperature (ºF)
Based on the regression equation, the coefficients indicate the relationship between the independent variables (Thickness of Insulation and Outdoor Temperature) and the dependent variable (Monthly Natural Gas Consumption).
The coefficient for x1 (Thickness of Insulation) is -1.07. This means that, holding the Outdoor Temperature constant, for every 1-inch increase in the Thickness of Insulation, the predicted Monthly Natural Gas Consumption is expected to decrease by 1.07 cubic feet.
The coefficient for x2 (Outdoor Temperature) is -0.64. This means that, holding the Thickness of Insulation constant, for every 1-degree Fahrenheit increase in the Outdoor Temperature, the predicted Monthly Natural Gas Consumption is expected to decrease by 0.64 cubic feet.
The constant term in the equation is 57.25. This represents the predicted Monthly Natural Gas Consumption when both the Thickness of Insulation and Outdoor Temperature are zero.
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Suppose you can factor x^2 + bx + c as (x + p)(x + q). If c > 0, what could be possible values of p and q?
a. p = 5, q = -8
b. p = -2, q = 6
c. p = -4, q = -7
d. p = -13, q = 1
p could be 5 and q could be 8 this is just my guess but i think its right
p = - 4, q = -7, or in other words with the given choices above, option C. I hope this helps : ) I was working on this assignment earlier; this was a tough question, but I figured it out. If this is the same assignment I am thinking of, it should be alright. :D
Brainliest will be given ASAP question below!
Answer:
3/32
Step-by-step explanation:
9/16 × 3/4=27/144=3/16×1/2=3/32
How do you get infinitely many solution?
Answer: I’m
Step-by-step explanation: I’d not knkw
2.
Thomas drove 45 miles in 1 hour. At this rate, how many miles will he drive in 4 hours?
Answer:
180
Explanation:
45*4=180
Answer:
I agree with the other answer- 45 x 4= 180 miles