For the function f (x) = 8 - x2 evaluate f (-2)
4
12
-32
0
Four teams will receive prize money based on their ticket sales. The total prize amount to be apportioned is $63. Determine the standard divisor based on the ticket sales. The ticket sales are: Applejacks: 66 tickets sold Broncos: 769 tickets sold Colts: 652 tickets sold Deers: 556 tickets sold Calculate the standard divisor to two decimal places.
Answer:
32.43
Step-by-step explanation:
To get the standard divisor
We sum up the tickets sold
Applejack's = 66 tickets
Broncos = 769 tickets
Colts = 652 tickets
Deers = 556 tickets
The total prize amount = $63
Total tickets = 66 + 769 + 652 + 556 = 2043
Standard divisor = 2043/63
= 32.43
The standard divisor to two decimal places is 32.43
The bar graph shows the height of a plant each month for four months. Your friend concludes that the height of the plant in Month 4 is 3
times its height in Month 1. Is this conclusion accurate? Explain.
Answer:
I can't see the pic or I can't answer sorry
Step-by-step explanation:
Express each decimal to fraction 106.28
Answer:
2657/25
Step-by-step explanation:
Pls help me pls pls
Answer:
190.8
Step-by-step explanation:
Im pretty sure my math is wrong but i hope this helps
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? a. More than 59 pounds b. More than 56 pounds c. Between 56 and 57 pounds d. Less than 53 pounds e. Less than 49 pounds *Round the values of z to 2 decimal places. Round your answer to 4 decimal places, the tolerance is +/-0.0001. **Round the values of z to 2 decimal places. Round your answer to 4 decimal places. a. * b. * c. * d. * e. **
Answer:
a. 0.1038 = 10.38% probability that the sample mean is more than 59 pounds.
b. 0.6772 = 67.72% probability that the sample mean is more than 56 pounds.
c. 0.2210 = 22.10% probability that the sample mean is between 56 and 57 pounds.
d. 0.0146 = 1.46% probability that the sample mean is less than 53 pounds.
e. 0% probability that the sample mean is less than 49 pounds.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. The population standard deviation of annual usage is 12.3 pounds.
This means that [tex]\mu = 56.8, \sigma = 12.3[/tex]
Sample of 50:
This means that [tex]n = 50, s = \frac{12.3}{\sqrt{50}} = 1.74[/tex]
a. More than 59 pounds
This is 1 subtracted by the pvalue of Z when X = 59.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{59 - 56.8}{1.74}[/tex]
[tex]Z = 1.26[/tex]
[tex]Z = 1.26[/tex] has a pvalue of 0.8962
1 - 0.8962 = 0.1038
0.1038 = 10.38% probability that the sample mean is more than 59 pounds.
b. More than 56 pounds
This is 1 subtracted by the pvalue of Z when X = 56. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{56 - 56.8}{1.74}[/tex]
[tex]Z = -0.46[/tex]
[tex]Z = -0.46[/tex] has a pvalue of 0.3228
1 - 0.3228 = 0.6772
0.6772 = 67.72% probability that the sample mean is more than 56 pounds.
c. Between 56 and 57 pounds
This is the pvalue of Z when X = 57 subtracted by the pvalue of Z when X = 56.
X = 57
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{57 - 56.8}{1.74}[/tex]
[tex]Z = 0.11[/tex]
[tex]Z = 0.11[/tex] has a pvalue of 0.5438
X = 56
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{56 - 56.8}{1.74}[/tex]
[tex]Z = -0.46[/tex]
[tex]Z = -0.46[/tex] has a pvalue of 0.3228
0.5438 - 0.3228 = 0.2210
0.2210 = 22.10% probability that the sample mean is between 56 and 57 pounds.
d. Less than 53 pounds
This is the pvalue of Z when X = 53.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{53 - 56.8}{1.74}[/tex]
[tex]Z = -2.18[/tex]
[tex]Z = -2.18[/tex] has a pvalue of 0.0146
0.0146 = 1.46% probability that the sample mean is less than 53 pounds.
e. Less than 49 pounds
This is the pvalue of Z when X = 49.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{49 - 56.8}{1.74}[/tex]
[tex]Z = -4.48[/tex]
[tex]Z = -4.48[/tex] has a pvalue of 0
0% probability that the sample mean is less than 49 pounds.
Find the missing side lengths of the triangle below
Answer:
90 degrees
Step-by-step explanation:
A factory worker finds 26 products are defective out of a random sample of 400
products. Based on the results, about how many of the 56,000 products produced this
month can be expected to be defective?
Answer: 36,400
Step-by-step explanation:
Answer:
Step-by-step explanation:
36,400
3) Jacob has 4 granola bars. He cuts them into pieces that are 1/3 of a bar each. After he cuts the 4 bars, how many pieces does Jacob have?
Answer:
12
Step-by-step explanation:
if each bar is cut into 3 pieces, then we multiply 4 by 3 to get 12.
After he cuts the 4 bars, there are 12 pieces Jacob have.
What is division?Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.
Jacob has 4 granola bars.
He cuts them into pieces that are 1/3 of a bar each.
After he cuts the 4 bars.
After he cuts the 4 bars, how many pieces Jacob has is determined in the following steps given below.
[tex]\rm = \dfrac{Total \ granola \ bars}{Cut \ pieces}\\\\= \dfrac{4}{\dfrac{1}{3}}\\\\=\dfrac{4}{0.33}\\\\= 12.12\\\\= 12 \ apporx[/tex]
Hence, After he cuts the 4 bars, there are 12 pieces does Jacob have.
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Can someone please help me
write a equation for each line
Answer:
Line l: y=4
Line m: y=-2x+4
Line n: y=x-1
Line p: x=-4
Hope this helps!
In the sketch below, two parallel lines are cut by a transversal.
Answer:
m<1 = 150°
Step-by-step explanation:
Given:
m<1 = (4x + 50)°
m<2 = (7x - 25)°
Required:
m<1
Solution:
To find m<1, we need to create an equation that will enable us determine the value of x.
Thus,
4x + 50 = 7x - 25 => corresponding angles are congruent to each other
4x + 50 - 7x = 7x - 25 - 7x (subtraction property of equality)
-3x + 50 = - 25
-3x + 50 - 50 = -25 - 50 (substraction property of equality)
-3x = -75
-3x/-3 = -75/-3 (division property of equality)
x = 25
✅m<1 = (4x + 50)°
Plug in the value of x
m<1 = 4*25 + 50 = 100 + 50
m<1 = 150°
Find the measure of 43.
92 88°
43
88
43 = [?]
please help I will give you brainlist just no links
Answer:
88°
Step-by-step explanation:
Because, vertically opposite angles are equal
Which is the equation of the line that passes through the points (4, 3) and (6, 2)?
Answer:
answer is c hope this helps
Step-by-step explanation:
Helpp with math!!!!!!!!
I think the area is 63. Sorry if it is incorrect.
jacob has 10p 20 p and 50 p coins one quater of the coins
is 50 p with a total of 3.00 the ratio of 10 p to 20p is 2 : 7 how much money does jacob have
Let x = number of 20p coins
10+50+20x=200 10p + 50p + x(20p) = 200p (100p=1 pound)
60 + 20x = 200
subtract 60 from each side
20x=140
divide both sides by 20
x=140/20=14/2=7
x=7 James has 7 20p coins
The perimeter of a square is 20. What is the length of one of the diagonals of the square? Show work or explain how you obtained your answer
Answer:
The perimeter of a square is 20
if length of the square is x
perimeter of a square = x + x+ x + x = 4x = 20
4x = 20
x= 20/4
x = 5
Let get the length of one of the diagonal is y
According to the Pythagoras low,
y^2 = x^2 + x^2
y^2 = 5^2 + 5^2
y^2 = 25 + 25
y^2 = 50
y= sqrt(50)
Step-by-step explanation:
7) In Emily's bead collection, 1/2 of her beads are red and 1/4 of her beads
are green. What fraction of her beads are NOT red?
Leilani wants to make 8 placemats. For each placemat she needs 18 in of fabric. How many yards of fabric will she need for
the 8 placemats?
Answer:
144 yarns of fabric
Step-by-step explanation:
If 8 placemat =18 fabrics
then 8 p placemats=8x18
=144
Leilani wants to make 8 placemats. For each placemat she needs 18 in of fabric. Leilani will need 4 yards of fabric to make the 8 placemats.
To determine the amount of fabric Leilani will need for 8 placemats, we need to convert the given length from inches to yards.
Given:
Length of fabric needed for one placemat = 18 inches
To convert inches to yards, we divide the length in inches by 36 (since there are 36 inches in a yard).
18 inches / 36 = 0.5 yards
Therefore, for one placemat, Leilani will need 0.5 yards of fabric.
To find the total amount of fabric needed for 8 placemats, we multiply the fabric requirement for one placemat by 8:
0.5 yards/placemat * 8 placemats = 4 yards
Leilani will need 4 yards of fabric to make the 8 placemats.
To know more about "yards." here
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Full Question.
Leilani wants to make 8 placemats. For each placemat she needs 18 in of fabric. How many yards of fabric will she need for the 8 placemats?
( No graph Needed)
Felix and Jose go to lunch at Buffalo Wild Wings. Their meals total $28.00. Tax is 6%.
a. What is the total cost of food and tip?
b. Felix and Jose want to leave a 20% tip based on the cost before tax. How much should they leave?
Help pls
Answer:
A, Total cost with tax; $29.68
B, Total cost of tip; $5.60
Step-by-step explanation:
28 x .2, accounting for the tip, is 5.6, aka $5.60. 28 x .06, accounting for the tax, is 1.68. Adding the original amount, the tax, and the tip, we are left with $35.28 in total after they have paid both the tax and the tip.
Hope this helps!
The Countrywide building has a square base. It has 45 floors of offices, all of which have about the same number of windows.
If there are 8 windows on 1 side of the 23rd floor, what is a reasonable estimate for the number of windows in the entire building?
A. 8 windows
B. 45 windows
C. 360 windows
D. 1,440 windows
Answer:
Step-by-step explanation:
think it would be b
Carol and Peter walk to school. Carol walks 3/5 of a mile to walk to school,
Peter walks 0.65. Which student has a father walk?
For Carols situation, I divided one mile into 5 parts. 1 mile divided by 5 equals .2 miles. Since she walked 3/5 of a mile, I multiplied .2 with 3 which equals 0.6. Carol walked 0.6 Miles.
Peter walked 0.65 mile, so he walked .05 miles farther then Carol
Peter had a farther walk
Plz show work thanks
Answer:
1/sec x- tan x
Step-by-step explanation:
sec x+ tan x
= sec x+ tan x) (sec x - tan x)/(sec x , tan x)
=sec^2x-tan^2x)(sec x- tan x)
(sec^2x-tan^2x=1)
=1/sec x- tan x
PLEASE HELP
Which element should you not include in a summary for a book review?
a brief description of setting
the story's ending
explanation of theme
how the main conflict is resolved
please help asap 50 points The sail of a boat is in the shape of a right triangle, as shown below:
The sail of a boat is a right triangle with an acute angle equal to 35 degrees and the side of the sail which is the hypotenuse
Which expression shows the height, in meters, of the sail? (6 points)
Select one:
a. 8 divided by cosec 35 degrees
b. 8 sin 35°
c. 8 sec 35°
d. 8 divided by sec 35 degrees
Answer:
d. 8 divided by sec 35 degrees
Step-by-step explanation:
Answer:
D is right
Step-by-step explanation:
Select all the expressions that represent the large rectangle's total area can't find the answer please help
plz, help me with this plz!!!
Answer:
You need common denominators
Step-by-step explanation:
Because you need to have the same number on the bottom in order to correctly add/ subtract the fractions.
Choose all equivalent expression(s). ab^-3x=
Answer:
Is there a photo the problem or is that just it?
Answer:
The answer is the last two.
Step-by-step explanation:
What is the value of the expression
401P + q?), when p = 49 and q = -2?
O A) 12
OB) 20
OC) 36
OD) 44
First person to answer will get 10 points :D
Please help me it’s a Friday and my cousin birthday tomorrow and if I don’t finish I can’t go. (NO LINKS) need explanation. (EXPLAIN) and no lying.
Answer:
D. 0-69
Step-by-step explanation:
I'm not quite 100% sure but I believe it is D. This is because the spread means the range, and the range is the lowest value to between the highest value so it makes sense that the spread is 0-69
apologize of its wrong