9514 1404 393
Answer:
238 gallons 7%119 gallons 1%Step-by-step explanation:
Let h represent the number of gallons of high butterfat content milk. Then 357-h will be the number of gallons of 1% milk. The total amount of butterfat in the mix is ...
0.07h +0.01(357 -h) = 0.05(357)
0.06h = 14.28 . . . . . . . . . . subtract 3.57, collect terms
h = 238 . . . . . . . . . . divide by 0.06
357-h = 357 -238 = 119
238 gallons of 7% and 119 gallons of 1% are needed.
which statement best describes the product of 240 and 1/3
the product is less than 99 the product is between 100 and 150 the product is between 200 and 250 the product is greater than 400
Answer:
Step-by-step explanation:
240 x 1/3 = 240/3 = 80
so the answer is: the product is less than 99
Whats 10 Divided by 4 with a Remainder?
Answer:
Step-by-step explanation:
10/4= 2 r 2
Answer: it’s 2.5, with a remainder it’s 2 r2
Step-by-step explanation:
Lamont has 30 book pack in boxes. Each box holds 7 books. If he fills each box,how many books are left over?
Answer:
2 are left over
since 7 goes into 30 4 times which makes 28 books. Meaning 2 are going to be left over
Driving instructors Mr. Adams and Mr. Bateman teach class independently of each other. Among Mr. Adams’s students, 68% pass the driving test on the first try, while 74% of Mr. Bateman’s students pass the driving test on the first try. Suppose there are 40 students in Mr. Adams’s class and 50 students in Mr. Bateman’s class. Let A = the proportion of students who pass the driving test on the first try from Mr. Adams’s class and B = the proportion of students who pass the driving test on the first try from Mr. Bateman’s class. What is the probability that Mr. Bateman’s class has more students who pass on the first try?
Find the z-table here.
0.266
0.547
0.734
0.765
Answer:
0.989 = 98.9% probability that Mr. Bateman’s class has more students who pass on the first try
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution, the binomial approximation to the normal and subtraction of normal distributions.
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.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Subtraction of normal distributions:
When two normal variables are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.
Among Mr. Adams’s students, 68% pass the driving test on the first try. Sample of 40.
This means that [tex]p = 0.68, n = 40[/tex].
[tex]\mu_A = np = 40*0.64 = 27.2[/tex]
[tex]s_A = \sqrt{40*0.68*0.32} = 2.95[/tex]
74% of Mr. Bateman’s students pass the driving test on the first try. Sample of 50:
[tex]p = 0.74, n = 50[/tex]
[tex]\mu_B = np = 50*0.74 = 37[/tex]
[tex]s_B = \sqrt{50*0.74*0.26} = 3.1016[/tex]
What is the probability that Mr. Bateman’s class has more students who pass on the first try?
This is the probability that B - A is greater than 0.
Distribution B - A:
Mean:
[tex]\mu = \mu_B - \mu_A = 37 - 27.2 = 9.8[/tex]
Standard deviation:
[tex]\sigma = \sqrt{s_A^2 + s_B^2} = \sqrt{2.95^2 + 3.1016^2} = 4.28[/tex]
Probability of being larger than 0:
1 subtracted by the pvalue of Z when X = 0. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - 9.8}{4.28}[/tex]
[tex]Z = -2.29[/tex]
[tex]Z = -2.29[/tex] has a pvalue of 0.011
1 - 0.011 = 0.989
0.989 = 98.9% probability that Mr. Bateman’s class has more students who pass on the first try
Answer:
0.734, c
Step-by-step explanation:
Mr. Wilson invested money in two accounts. His total investment was $20,000. If one account pays 3% in interest and the other pays 6% in interest, how much does he have in each account if he earned a total of $960 in interest in 1 year?
He invested $__ in the 3% account and $__ in the 6% account.
Answer:
8000 and 12,000
Step-by-step explanation:
Let the amount of money deposited in the 3% account be known as "x"
The amount of money deposited in the 6% account would be "20,000 - x" (aka the remaining amount of money not put into the first account)
3% Interest -> 0.03 *
6% Interest -> 0.06 *
0.03 * x + 0.06 * (20,000 - x) = 960
0.03x + 1200 - 0.06x = 960
-0.03x = -240
x = 8000
20,000 - x
20,000 - 8000 = 12000
If Andy had an ending balance of $5600 and Charlie had an ending balance of $5624.32, what is the difference in their account balances?
Answer:
charlie has 624.32 more than andy
Step-by-step explanation:
im smart trust
in the triangle shown determine a to the nearest degree
Answer:
43
Step-by-step explanation:
Cos A= 8/11
Cos A= 43.34
A=43.34
The order is for 500 mL D5 1/2 NaCl to run in 6 hours. Set calibration is 15 gtt/mL calculate the flow rate in mL/hrs
Answer:
16 is correct
Step-by-step explanation:
Find the volume of a cone that has a height of 15 centimeters and a radius of 6 centimeters.
WILL MARK BRAINLEST!!!
Answer:
565.2
Step-by-step explanation:
Cone=1/3bh
B is pir^2
so that means b=pi36 (6*6 =36)
36*15/3 is 565.2
PLZ HELP
Which is the sum of 3.15 × 10^7 +9.3 × 10^6 ? Write your answer in
scientific notation.
A. 4.08 × 10^7
B. 4.08 × 10^6
C. 0.408 × 10^8
D. 40.8 × 10^6
Answer: A 4.08x10^7
Step-by-step explanation:
Expanded form: 40800000
here's the question
pls I need assistance with this I promise brainiest
1. (-4)*(-3)*(+2)/(-6)*(-4)
2. -8*(-11)*9*(-5)/2*(-33)*(-3)
Answer:
1) 16
2) -196020
Step-by-step explanation:
simple answer using DMAS rule
D = Division
M = Multiplication
A = Addition
S = Subtraction
Find the perimeter and area of the polygon shown below.
P= 72 feet, A = 300 square feet
O P = 56 feet, A = 308 square feet
P= 87 feet, A = 360 square feet
P = 72 feet, A = 308 square feet
Answer:
A. P = 72 feet, A = 300 square feet
Step-by-step explanation:
✔️Perimeter = sum of all sides of the polygon = 15 + 16 + 17 + 8 + 16 = 72 ft
✔️Area of the polygon = area of a trapezoid = ½(a + b)h
Where,
a = 16 ft
b = 16 + 8 = 24 ft
h = 15 ft
Substitute
Area = ½(16 + 24)15
Area = ½(40)15
Area = 300 ft²
what is the greatest common factor (GCF) of the following monomials?
Answer:
2x is the greatest common factor.
Step-by-step explanation:
Looking for what they have in common and what is the highest number they can both go into.
1. The perimeter of a square box is 12x+32. Write an equivalent expression that shows the perimeter as four times the side length of the box.
Answer:
4(3x+8)
Step-by-step explanation:
1/4-1/20 in simplest form
Answer:
1/5
Step-by-step explanation:
Answer: 1/5
Step-by-step explanation:
Tools -
Question 10
Steven fosses a fair coin 100 times. The coin lands on heads 57 times and tails 43 times.
What is the probability and relative frequency of the coin landing on heads?
A
The probability is 50% and the relative frequency 43%
B
The probability is 50% and the relative frequency 57%
The probability is 43% and the relative frequency 50%.
D
The probability is 57% and the relative frequency 50%.
Answer: D
Step-by-step explanation:
The probability of the coin landing on heads is 50% and the relative frequency of the coin landing on heads is 57%
The probability of the coin landing on headsThe sample space of a coin is:
S = {Head, Tail}
The sample size is:
n(S) = 2
The probability of the coin landing on heads is calculated as:
P(Head) = n(Head)/n(S)
So, we have:
P(Head) = 1/2
Express as percentage
P(Head) = 50%
Hence, the probability of the coin landing on heads is 50%
The relative frequency of the coin landing on headsFrom the question, we have:
Toss = 100
Head = 57
The relative frequency of the coin landing on heads is calculated as:
Frequency = 57/100
Express as percentage
Frequency = 57%
Hence, the relative frequency of the coin landing on heads is 57%
Read more about probability at:
https://brainly.com/question/251701
Find the height of the cone plsss
Answer: the last one, 31.6
Answer:
the answer is about 31.6
Step-by-step explanation:
the formula for the height of a cone is 3(V/πr^2), so if you plug in the number, you'll get about 31.6.
Mort bought his house in 2004 for $279,000. it was recently appraised at $186,000. What is the approximate percent of decrease in value
Answer:
33.3%
Step-by-step explanation:
(279,000 - 186,000) / 279,000 = 0.33333333333
0.33333333333*100= 33.3333333333
Formula used:
[tex]V_{2} -V_{1}[/tex] / [tex]V_{2}[/tex] × 100
V2= 279,000
V1= 186,000
The approximate percentage of the decrease in value of the house is 33.33%.
Purchase price of the house = $279,000
Appraisal cost of the house = $186,000
What is a percentage?The percentage is the value per hundred.
The percent of the decrease in value = (279000-186000)/279000 *100
The percent of the decrease in value =(93000/279000) *100
The percent of the decrease in value =33.33%
Hence, the approximate percentage of the decrease in value of the house is 33.33%.
To get more about percentages visit:
https://brainly.com/question/24304697
can some help me plz I will give the brainlist
Answer:
A-0.125
B-15%
C- I think .15 would
Step-by-step explanation:
Sorry if i am incorrect
Answer:
A=.125
B=.14
Step-by-step explanation:
C=.15 would give him more candy.
An artist makes triangular -shaped sculptures using steel long. There are several rods are 12,13,14,15 or 16 feet long .there are several rods of each length?
Answer:
You are having a stroke.
Step-by-step explanation:
1. Go to the hospital.
3.4x=8.5
on a text plz answer
Answer:
x=.4
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
For his long distance phone service, Tom pays an 8 monthly fee plus 6 cents per minute. Last month, Tom's long distance bill was $16.34. For how many minutes was Tom billed?
A plane descends 1000 ft while flying
2.7 mi. What is the angle of descent?
Answer:
4.02°
Step-by-step explanation:
The angle of descent can be obtained using trigonometry ;
Since we have a right angled triangle ;
Let's use the relation:
Sin θ = opposite / hypotenus
Hypotenus = 2.7 miles
1 mile = 5280 feets
2.7 miles = (2.7 * 5280) = 14256 feets
Sin θ = 1000 / 14256
Sin θ = 0.0701459
θ = sin^-1(0.0701459)
θ = 4.0223674
Roy collected 30 Avenger stickers. He gave 3/5 of them to her friends. How many stickers did he give to his friends
Answer:
29.4
Step-by-step explanation:
then convert to whole number
The Roger's applied for a $70,000 mortgage for 30 years at 9%. Since they had a good credit history,
they actually qualified for a 25 year mortgage at 7%. What were the payments on the 9% loan, and the
7% loan? What do they save monthly? What is the total repayment on the 9% loan and the 7% loan, and
what do they save over the life of the loan?
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Answer:
9% payments: $563.247% payments: $494.75monthly savings: $68.499% total repaid: $202,764.907% total repaid: $148,423.63savings: $54,341.27Step-by-step explanation:
It works nicely to let a calculator or spreadsheet figure the payment and loan values. The graphing calculator work is attached.
Answer:
9% payments: $563.24
7% payments: $494.75
monthly savings: $68.49
9% total repaid: $202,764.90
7% total repaid: $148,423.63
savings: $54,341.27
Step-by-step explanation:
rectangle has area 80 square centimeters. the rectangle is dilated using A as a center and a scale factor of 1/2 what is the area of the image
9514 1404 393
Answer:
20 square centimeters
Step-by-step explanation:
The area of the dilated figure is the original area multiplied by the square of the dilation factor. The center of dilation is irrelevant.
dilated area = (1/2)² × original area
dilated area = 1/4 × 80 cm²
dilated area = 20 cm²
A circular patio has a radius of 4 yards. The patio is expanded so that the
radius increases by 2 yards. By how many square yards does the area of the
patio increase?
Answer:
20pi or 62.83
Step-by-step explanation:
when r=4
pi r^2
16pi
when r=6
pi r^2
36pi
36pi-16pi=20pi or 62.83
A rectangular prism has a length of 12 inches, a height of 16 inches, and a with of 20 inches. What's the volume, in cubic inches
Answer:
3840in²
Step-by-step explanation:
Formula:
V = whl
Insert the values:
V = 20 * 16 * 12
Multiply the values:
V = 3840in²
Brainliest for correct answer, asap please.
Answer:
Not a function
Not a function
Function
Step-by-step explanation:
The 1st one isn't as clear in the picture, but it looks like the ends of each line overlap the each other.