Answer:
33.6 gallons
Step-by-step explanation:
[tex]\frac{1.27x10^5 mL}{1}[/tex] × [tex]\frac{1 liter}{1000 mL}[/tex] × [tex]\frac{1 gallon}{3.785 liters}[/tex] = 33.5535 gallons = 33.6 gallons
I just need to know the steps so I can be able to do the rest of them
Answer:
1. x = 9.5
Step-by-step explanation:
Number one.
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {8.6}^{2} + {b}^{2} = {12.8}^{2} \\ 73.96 + {b}^{2} = 163.84 \\ \frac{ - 73.96 \: \: \: \: \: \: \: \: \: \: = - 73.96}{ {b}^{2} = \sqrt{89.88} } \\ b = 9.5[/tex]
a = leg
b = leg
c = hypotenuse/diagonal
The cost of renting a motorcycle for a day is $0.65 per mile plus a $105 flat fee.
(a) Write an equation to represent this relationship. Let x be the number of miles
driven and y be the total cost for the day.
(b) What does the graph of this equation form on a coordinate plane? Explain.
(c) What is the slope and the y-intercept of the graph of the relationship? Explain.
please help!!
Answer:A) Y = 0.65x + 105
B) An Increasing Slope
C) Slope = 0.65 Y-Intercept = 105
Hope this helps you!
Step-by-step explanation:
A dealer buys 50 apples for $40 and sells them for $1.20. Calculate his
percentage profit.
Answer:
50%
Step-by-step explanation:
1.2 times 50 = 60
60 - 40 = 20
40/20 = 2
100/2 = 50
50%
The percentage of the profit when he sells them for $1.20 will be 50%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A dealer buys 50 apples for $40. Then the cost of each apple is given as,
⇒ $40 / 50
⇒ $0.80 per apple
Then the percentage of the profit is calculated as,
P = [($1.20 - $0.80) / $0.80] x 100
P = ($0.40 / $0.80) x 100
P = 0.50 x 100
P = 50%
The percentage of the profit when he sells them for $1.20 will be 50%.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ2
five years ago ,a father was four times as old as his son.In five years time the father will be twice as old as the son.If x and y are the present ages of the father and the son respectively,the equation relating x and y are:
Answer:
The father is 40 and his son is 10
Step-by-step explanation:
Suppose that quiz scores in a beginning statistics class have a mean of 6.6 with a standard deviation of 0.6. Using Chebyshev's Theorem, what is the minimum percentage of quiz scores between 4.8 and 8.4
Answer:
88.89%
Step-by-step explanation:
Calculation for what is the minimum percentage of quiz scores between 4.8 and 8.4
The calculated minimum percentage value of quiz scores between
First step is to calculate the lower k value using this formula
k=(x1−m)/s
Where:
x1 represent first random value 4.8
x2 represent second random value 8.4
m represent mean 6.6
s represent standard deviation 0.6
Let plug in the formula
k=(4.8−6.6)/0.6
k=−1.8/0.6
k=−3
Second step is to calculate the upper k value
k=(x2−m)/s
k=(8.4−6.6)/0.6
k=1.8/0.6
k=3
Now let calculate the minimum percentage
Using this formula
Minimum percentage=1−1/k^2
Let plug in the formula
Minimum percentage=1−1/3^2
Minimum percentage=1−1/9
Minimum percentage=1−0.1111
Minimum percentage=0.8889*100
Minimum percentage=88.89%
Therefore the minimum percentage of quiz scores between 4.8 and 8.4 is 88.89%
Answer:
75%
Step-by-step explanation:
5.2−6.40.6=−2 and 7.6−6.40.6=2.
This means that 5.2 lies 2 standard deviations below the mean and 7.6 lies 2 standard deviations above the mean.
According to Chebyshev's Theorem, at least 75% of data values lie within 2 standard deviations of the mean.
Therefore, we can say that 75% is the minimum percentage of quiz scores between 5.2 and 7.6.
There are 4 circles and 1 triangle what is the simplest ratio
Answer: 1:1 or 2:1
Step-by-step explanation:
12 The sixth grade at Johnson Middle School set a goal to raise $8,000 for their end-of -the-year field trip to Washington DC. September December March $10,000 $10,000 $9,000 $9,000 $8,000 Goal $7,000 $10,000 $9,000 $8,000 Goal $8,000 Goal $7,000 $7,000 $6,000 $5,000 $6,000 $5,000 $4,000 $3,000 $2,000 $1,000 $6,000 $5,000 $4,000 $4,000 $3,000 $3,000 $2,000 $1,000 $2,000 $1,000 60 Grade Grade 6 Grade (a) On the first day of school, Bethany's family donated $60 to the field trip fundraiser. What percent of their total goal did Bethany's family donate? F 0.75% G 75% H 2.5% J 0.25%
Answer:
0.75%
Step-by-step explanation:
Total amount to generate at fundraiser = $8000
Amount donated by Bethany family = $60
The percentage of Bethany's donation towards the fundraiser is :
Let percentage = x
x% of 8000 = 60
x/100 * 8000 = 60
0.01x * 8000 = 60
80x = 60
Divide both sides by des by 80
80x / 80 = 60 / 80
x = 0.75
What is the GCF of 6x, 12y , 18?
Answer:
6 just 6
Step-by-step explanation:
6 is the greatezst and the all have the common factor of 6
PLEASE HELPPPPPP MEEEEE
L
Answer:
No, it isnt a proportional relationship relationship. False.
A box in the shape of a rectangle prism, with dimensions 12 inches by 18 inches by 12 inches, can hold exactly 12 cubes measuring 6inches on each side. If the length and width of the base are doubled, how many cubes could the new box hold
18
24
48
96
If 16 is added to a number and the sum is doubled, the result is 15 less than the number. Find the number.
Answer:
x = -47
Step-by-step explanation:
(x+16)2 = x-15
2x+32 = x-15
x = -15-32 = -47
A process that produces computer chips has a mean of .04 defective chips and a standard deviation of .003 chips. The allowable variation is from .032 to .048 defective. a.Compute the capability index (Cp) for the process.
Answer:
The capability index for the process is 0.889
Step-by-step explanation:
Here, we want to compute the capability index for the process
To get this, we need some important parameters which we already have stated in the question
USL ( upper standard limit) = 0.048
LSL (lower standard limit) = 0.032
mean = 0.04
standard deviation = 0.003
We apply the formula as seen in the attachment below
Kindly understand that we are to calculate the Z upper and Z lower
The smallest value between the two will be our Z minimum
This is what we shall apply in the capability index formula which mathematically is;
Z minimum/3
From calculation:
Z lower = Z upper = 2.67
So therefore;
capability index = 2.67/3 = 0.889
Elsie bought a video game for $85. If the store charges 170% of its cost for the game, how much is the store's profit? *Hint: Once you find the store's cost, you must subtract that from the price to find the profit (how much the store makes)
Answer:
$ 59.5
Step-by-step explanation:
Calculation for how much is the store's profit
First step is to calculate the store's cost
Store's cost= 170/100 * $85
Store's cost =$144.5
Now let calculate the store's profit
Store'sProfit=$144.5-$85
Store's Profit=$ 59.5
Therefore the store's profit will be $59.5
A researcher reports survey results by stating that the standard error of the mean is 25 the population standard deviation is 400. Use z-table.
a. How large was the sample used in this survey?
b. What is the probability that the point estimate was within ±15 of the population mean?
Answer:
a) A sample of 256 was used in this survey.
b) 45.14% probability that the point estimate was within ±15 of the population mean
Step-by-step explanation:
This question is solved using the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, 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.
a. How large was the sample used in this survey?
We have that [tex]s = 25, \sigma = 400[/tex]. We want to find n, so:
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]25 = \frac{400}{\sqrt{n}}[/tex]
[tex]25\sqrt{n} = 400[/tex]
[tex]\sqrt{n} = \frac{400}{25}[/tex]
[tex]\sqrt{n} = 16[/tex]
[tex](\sqrt{n})^2 = 16^2[tex]
[tex]n = 256[/tex]
A sample of 256 was used in this survey.
b. What is the probability that the point estimate was within ±15 of the population mean?
15 is the bounds with want, 25 is the standard error. So
Z = 15/25 = 0.6 has a pvalue of 0.7257
Z = -15/25 = -0.6 has a pvalue of 0.2743
0.7257 - 0.2743 = 0.4514
45.14% probability that the point estimate was within ±15 of the population mean
Consider 8x2 - 48x = -104. Write the equation so that a = 1: x2 + -6 x = -13 Complete the square: x2 – 6x + 9 = –13 + 9 Factor the trinomial and simplify: (x + )² =
Answer:
The roots of the polynomial are;
3 + 2i
and 3-2i
Step-by-step explanation:
Here, we want to solve the given polynomial using the completing the square method
We start by dividing through by 8
This will give;
x^2 - 6x = -13
To complete the square, we simply divide the coefficient of x by 2 and square it
We have this as -6/2 = -3
square it;; = (-3)^2 = 9
Add it to both sides
x^2 - 6x + 9 = -13 + 9
x^2 - 6x + 9 = -4
(x-3)^2 = -4
Find the square root of both sides
x-3 = ±2i
x = 3 + 2i
or x = 3-2i
Answer:
Here's just the answers without all the work for easier reading. Answers are bolded.
Step-by-step explanation:
First problem answer: x2 + -6 x = -13
Second problem answer: x2 – 6x + 9 = –13 + 9
Third problem answer: (x + -3)² = -4
Fourth problem answer: 3 + 2i
-77.5 divided by 15.5
Below is the graph of a polynomial. Which statement about this graph is true?
(-4.0)
(0,0)
(-2,-4)
O A. The point (-2,-4) is a minimum.
O B. The point (-2,0) is a maximum.
O C. The point (0,-4) is a minimum.
D. The point (-4,0) is a maximum.
Answer:
The point (-2, -4) is a minimum.
Hence, option A is correct.
Step-by-step explanation:
We know that graph of a Parabola illustrates a U-shaped curve.
The graph of Parabola has an important characteristic, it consists of an extreme point which is termed as 'vertex'.
When a parabola opens up, the vertex will be the lowest point on the Parabola graph.
When a parabola opens up, the vertex will be the lowest point on the Parabola graph. This lowest point is the minimum value of the parabola function.
From the given Parabola graph, it is clear that the parabola opens up.
Thus, the vertex will be the lowest point on the Parabola graph which is also the minimum value.
It is clear that the vertex of the parabola is located at (-2, -4).
Therefore, the point (-2, -4) is a minimum.
Hence, option A is correct.
At a real estate agency, an agent sold a house for $329,000. The commission rate is 4.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission? The agency made $ on the house.
pls help this is fue in a few pls help
Answer: 부동산 수수료 계산기 에 의해 작동 계산 하는 간단한 방정식을 : 합의 된 지급 비율 속성의 / 100 × 가격을. 예를 들어 주택 소유자가 주택을 $ 200,000에 판매하고 수수료율 이 5 % 인 경우 방정식 은 (5/100) x 200,000 = $ 10,000 수수료가 됩니다.2020 년
Step-by-step explanation:
A diagram of the pool has been drawn to scale below where each unit is 2 meters. What is the area of the pool in meters? *
Answer:
4.5m^2
Step-by-step explanation:
Step one:
The shape of the pool can be either a square or a rectangle.
We want to find the area of the pool
The area of a square or rectangle is expressed as
A= length * width
Step two
say the dimensions given are
L= 3m
W= 1.5m
Then area
A= 3*1.5
A= 4.5m^2
Between the ages 2 and 20, the weight W of an American boy is logistic function of his age. For boys at the 50 percentile, the differential equation for W can be approximated by 4W = 0.0008W (216 - W), where W is measured in pounds and t is measured in years beyond the age of 2. Express W as a function of t subject to the initial condition W(0) = 24
Answer:
rthtrhthrrgrg4432
Step-by-step explanation:
rthrthtrhtrhr242 42
Help mee ayudaaaaaaa
Answer:
x=4
Step-by-step explanation:
2x-9=-1
u add 9 on both sides so its 2x=8
then divide by 2 on each side and it gives u 4
Answer:
x=4
Step-by-step explanation:
You are right
Jessica jogs 29 kilometers in 2.5 hours. What is her speed?
Answer:
I would want to say 11.6
Step-by-step explanation:
I divide 29 by 2.5= 11.6.
what do you need to know ask me
Answer:
i got a whole lotta math questiosn to ask, answer them for me I give u bigger points
Step-by-step explanation: please n thanks man
Answer:
Can you please answer my question?
Step-by-step explanation:
https://brainly.com/question/20988596
A robot and complete 8 tasks in 3/4
Answer:
5/6hour=5/6×60=300/6=50
8tasks in 50minutes
1task=50/8=61/4minutes
A)robot completes task in 61/4minutes
B)#tasks per hour
#of tasks×time tasks to do task<or=60
no×6.25=60
6-25n=60
n=60/6.25=96
A robot can complete a tasks in one hour
What is the slope of a line parallel to y=2x + 3
Answer:
2
Step-by-step explanation:
The slope of the line with equation y=2x+3 is 2 . So, any line parallel to y=2x+3 has the same slope 2 .
Hello!
Parallel lines have the same slope. So if one line has a slope of 2, the line parallel to it has a slope of 2 as well.
Therefore, the slope is 2. Hope it helps.
If you have any questions, feel free to ask.
~A forlorn teen
[tex]MagicalNature[/tex]
PLZ HELP!!! I need help ASAP
Answer:
The two problems/expressions are the same because of the negative and positive rule.
Step-by-step explanation:
+ - = -
- + = -
- - = +
+ + = +
2 units right and 5 units up
2
Move the numbers to the blanks to order them from least to greatest value.
0.4
9/8
I-21
1/2
-0.89
Answer: -0.89 1-21 0.4 1/2 9/8
Step-by-step explanation:
Answer:
1-21, -0.89, 1/2, 0.4, 9/8
Step-by-step explanation:
I need help with this Asap
Answer:
Point E
Step-by-step explanation:
You can look how they intersected E in the middle
Which expressions are equivalent to 8(-10x+3.5y-7)? Select two options.
-80x+24.5y-56
-80x+28y+56
80x+28y+56
4(-20x+7y-14)
-4(-20x+7y-14
Answer:
4(-20x+7y-14) .. only one option correct
Step-by-step explanation:
8(-10x+3.5y-7) = -80x + 28y -56
4(-20x+7y-14) = -80x +28y -56
