Answer:
Step-by-step explanation:
1. Find the slope of the line using the formula (change in y/change in x)
(12-22)/(7/12)=2
2. Find the y intercept by plugging in one coordinate point and the slope into the slope-intercept form.
Formula: y=mx+b Coordinate: (12, 22)
22=2(12)+b
22=24+b
b=-2
3. Put the equation together given slope and y-intercept.
y=2x-2
What is the surface area of the rectangular prism shown below?
A. 159 in2
B. 294 in2
C. 318 in2
D. 378 in2
Answer:
I am sure the answer is 300
A sanitation department is interested in estimating the mean amount of garbage per bin for all bins in the city. In a random sample of 46 bins, the sample mean amount was 49.41 pounds and the sample standard deviation was 3.99 pounds. Construct a 92.7% confidence interval for the expected amount of garbage per bin for all bins in the city. Answer to 3 decimals (a) What is the lower limit of the 92.7% interval
Answer:
The 92.7% confidence interval for the expected amount of garbage per bin for all bins in the city is between 48.135 pounds and 50.685 pounds. The lower limit is 48.135 pounds.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 46 - 1 = 45
92.7% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 45 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.927}{2} = 0.9635[/tex]. So we have T = 2.1437
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.1437\frac{3.99}{\sqrt{45}} = 1.275[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 49.41 - 1.275 = 48.135 pounds
The upper end of the interval is the sample mean added to M. So it is 49.41 + 1.275 = 50.685 pounds.
The 92.7% confidence interval for the expected amount of garbage per bin for all bins in the city is between 48.135 pounds and 50.685 pounds. The lower limit is 48.135 pounds.
What is XY?
help me please
here x = option c and here y= option a
please answer in full process
questions
Given L || M find the value of unknown angles in each of the following figures
Answer:
Angle x = 120 degrees
Angle y = 60 degrees
Step-by-step explanation: Angle x has to be equivalent to the 120 degree angle that is already given since lines l and m are parallel as well as lines p and q. To find angle y, you must realize that angles x and y are supplementary angles, so their sum is 180 degrees. Since we now know that angle x is 120 degrees, you must subtract 120 from 180 in order to find the value of angle y: 180 - 120 = 60 degrees. I'm sure that there are other methods to figuring this question out, but this is how I did it.
Anthony wants to buy a CD for $400 that earns 2.5% APR and is compounded
quarterly. The CD matures in 3 years. He will be paid the interest he earns
each quarter. How much interest will Anthony have earned on this CD after
the first quarter?
A. $10.00
B. $3.25
c. $1.25
D. $2.50
Answer:i think A
Step-by-step explanation:
please answer this with work
Answer:
Step-by-step explanation:
-38 + -12x < -200
Answer:
-38 - 12x > -200
x = 13.5 min
Step-by-step explanation:
let x = minutes of the dive
-38 ft - 12 ft/min(x) > -200 ft
-12 ft/min(x) < -162 ft
x > -162/-12 **flip the inequality when you divide by a (-) number
x > 13.5 min
Starting at -38 ft, he has to dive longer than 13.5 minutes to go deeper than -200 ft at a rate of -12 ft/min
Suppose f(x) = x3. Find the graph of f(x) - 1
Answer:
Step-by-step explanation:
To obtain the graph of f(x)-1 you only need to move down one unit the graph of f(x). What do you think is the best answer? I think is 4.
Answer: Graph 1
Step-by-step explanation:
my mom will kill me please help
If the perimeter of the triangle is 64 units, then the length of the side PR is 24 units.
What is a Triangle?This is referred to as a three-sided polygon that consists of three edges and three vertices and the longest side is referred to as the hypotenuse.
The perimeter of a triangle is the sum of all the sides which is:
P = a + b + c
64 = 3x +4x - 1 + x + 1
64 = 8x
x = 64/8 = 8 units
Therefore the length of side PR is :
3x = 3 (8) = 24 units.
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Determine if this is a function.
I did the vertical line test, but I'm still a bit confused.
Answer: This is not a function
Why not?
The input x = 2 leads to more than one output. In this case, it leads to y = 20 and y = 40 simultaneously. This is the reason why we don't have a function. A function is only possible if each input x leads to exactly one y output.
Put another way: we cannot have x repeating any values if we want a function.
Side note: We could have y repeat however. So it's possible to have a function with the two points (1,5) and (3,5).
What’s (-3 , 1) reflected over the x-axis
Answer: (-3,-1)
Step-by-step explanation:
The average amount of time to finish this quiz is 26 minutes with a standard deviation of 1.2 minutes. What is the probability that you will finish this quiz in 27.8 minutes or less?
Answer:What is the probability that you will finish this quiz in 23.84 minutes or less?
0.03593
Write your answer as a percentage with 2 decimals
= 3.59%
Step-by-step explanation:
The z score formula is given as:
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Mean = 26 minutes
Standard deviation = 1.2 minutes.
find the exact value of sin 13pi/6
Answer: 0
Step-by-step explanation:
how to do this so i can do the the rest pls i have to do like 20 more like this
Find the value of b such that the system of equations does not have a solution.
bx - 20y = -11
-6x – 15y = 11
b=
b= 8
Step-by-step explanation:
If we rewrite the 2nd equation, it becomes
15y = -6x - 11 ---> y = (-2/5)x - (11/15)
In order for this system of equations to have no solution, they must have the same slope, i.e., they're parallel to each other. So rewriting the 1st equation,
20y = -bx + 11
---> -b/20 = -0.4 or b = 8
please help will give brainliest
Answer:
720 ft^2
Step-by-step explanation:
1) find the area of the swimming pool
A = 32 x 16 = 512 ft ^2
2) find the total area
A = 44 x 28 = 1232 ft^2
3) find the area of the deck
A = total area - area of the swimming pool = 1232 - 512 = 720 ft^2
Answer:
512
Step-by-step explanation:
1. Solve for x.
a) 25 + 10(12 - x) = 5(2x - 7)
b) 6 + 2x > 20 or 8+XsO
Answer:
a) x=9
b)x>7 or x≤-8
Step-by-step explanation:
Can some one tell me what 132 divided by 12 is I’m so embarrassed
132 divided by 12 is equal to 11 with a remainder of 2.
To perform the division, you can use long division:
Step 1: Set up the division equation:
_______
12 | 132
Step 2: Identify how many times 12 can fit into the first digit of 132 (1). Write the quotient (result) above the line:
11
_______
12 | 132
Step 3: Multiply the divisor (12) by the quotient (11) and write the result below the first part of the dividend:
11
_______
12 | 132
- 12
_______
Step 4: Subtract the result from step 3 from the first part of the dividend (132 - 12 = 120). Write the new result below the line:
11
_______
12 | 132
- 12
_______
120
Step 5: Bring down the next digit of the dividend (in this case, the digit "3") and put it next to the remainder (120):
11
_______
12 | 132
- 12
_______
120
3
Step 6: Determine how many times 12 can fit into 120. The answer is 10. Write the new quotient digit (10) above the digit "3":
11
_______
12 | 132
- 12
_______
120
3
_______
110
Step 7: Multiply the divisor (12) by the new quotient digit (10) and write the result below the second part of the dividend:
11
_______
12 | 132
- 12
_______
120
3
_______
110
- 108
_______
Step 8: Subtract the result from step 7 from the second part of the dividend (110 - 108 = 2). Write the new result below the line:
11
_______
12 | 132
- 12
_______
120
3
_______
110
- 108
_______
2
Step 9: There are no more digits to bring down from the dividend, and the remainder is less than the divisor. The division process is complete.
The final result is the quotient (11) with a remainder of 2. So, 132 divided by 12 is 11 with a remainder of 2.
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What is the IQR?
a. 20
b. 41
c. 11.5
d. 61
If the rectangular fish tank below is completely filled with water, and the 900 cubic centimeters are poured out, how high will the water
Answer:
The high of the water is 2 cm.
Step-by-step explanation:
The equation of this volume is:
[tex]V=45*10*x[/tex]
We know that the volume is 900 cm³. So we just need to put this value in the above equation and solve it for x, which is the height.
[tex]900=45*10*x[/tex]
[tex]900=450*x[/tex]
[tex]x=\frac{900}{450}[/tex]
[tex]x=\frac{900}{450}[/tex]
[tex]x=2\: cm[/tex]
Therefore, the high of the water is 2 cm.
I hope it helps you!
14
Determine the distance between L(1, 4, 7) and M(2, 9, 8) on a three-dimensional plane.
XY = √(x2 – x, )²+ (y2 – yı)2 + (x2 – 21)2
Answer:
Distance LM = 5.20 unit (Approx.)
Step-by-step explanation:
Given coordinates;
L(1, 4, 7) and M(2, 9, 8)
Find:
Distance LM
Computation:
Distance between three-dimensional plane = √(x2 - x1)² + (y2 - y1)² + (z2 - z1)²
Distance LM = √(2 - 1)² + (9 - 4)² + (8 - 7)²
Distance LM = √(1)² + (5)² + (1)²
Distance LM = √1 + 25 + 1
Distance LM = √27
Distance LM = 3√3 unit
Distance LM = 3(1.732)
Distance LM = 5.196
Distance LM = 5.20 unit (Approx.)
38) Your bank account has$82in it when you write checks for$54,$35, and$15. You then deposit $35and $42. How much is in the account? Are you overdrawn
the answer is 55 can you show me how to get that answer.
If you have $82 in your bank account and you write checks for $54, $35, and $15, then the total amount you have written in checks is $54 + $35 + $15 = $104.
So the remaining balance is $82 - $104 = -$22, which means you are now overdrawn.
After you deposit $35 and $42, the new balance will be $82 - $22 + $35 + $42 = $155
So after the deposit, the account balance is $155
It is important to keep track of your bank account balance, if you do not have enough funds in the account and the check you wrote is cashed the bank will bounce the check and incur additional fees.
The following table shows the scores of three Redbirds and the Rockets in the first six games of the basketball season.
Part A:
Which team had the higher average (mean) score? What was it?
Part B:
Which team had the higher median score? What was it?
Part C: Which team had the higher range? What was it?
PLEASE don’t answer if you don’t know the answer. Whoever answers correctly will get Brainliest :)
Answer:
Step-by-step explanation:
1) mean: sum the values and divide for how many they are
Red birds: (87+94+99+85+106+111)/6 = 97
Rockets : (93+107+87+89+108+92)/6 = 96
the Red birds have the higher mean, that is 97
2) median
set the numbers from the least to the greatest and check the number in the middle
Red birds: 85, 87, 94, 99, 106, 111
there are two numbers in the middle, so we have to added up them and divide the result by two
median = (94 + 99)/2 = 96,5
Rockets = 87, 89, 92, 93, 107, 108
median = (92+93)/2 = 92,5
the Red birds have the higher median, that is 96,5
3) range: difference between the highest and the lowest value
Red birds = 111 - 85 = 26
Rockets = 108 - 87 = 21
the Red birds have the highest range, that is 26
Jesus wants to start saving for college. His parents started an account for him tht currently holds $325. Jesus adds $50 each week.
The product of some number and 40 is 2600
Answer:
65
Step-by-step explanation:
To find the second factor of a multiplication problem with only the answer and the first factor, divide the answer by the first factor.
[tex]2600/40= 65.[/tex]
Therefore, 40 × 65 = 2600.
Can you help me please
Answer:
120 in²
Hope this helps!
19 Five multiplied by a certain number is
added to two. The result equals four
times the number plus four.
xfgxfsdfxcxcxAnswer:
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
Five multiplied by a certain number is added to two
5 * x + 2
equals four times the number plus four
= 4 * x + 4
---------------------------------------------
5x + 2 = 4x + 4
Subtract 4x from both sides
x + 2 = 4
Subtract 2 from both sides
x = 2
Write the equation of the ellipse with a center at (5,-2), one vertex at (2, -2) and a focus at
(5+ √5,-2)
On solving the provided question we can say that - the value of the ellipse will be (5+ , root5)
what is ellipse?In mathematics, an ellipse is a planar curve that encompasses two focus points and ensures that the sum of the two distances from any point on the curve to the focal points is constant. In doing so, the circle—a particular variety of ellipse with two equal focus points—is generalized. The ellipse, whose eccentricity is less than 1, indicates the area containing the points whose distances from its two foci add up to a certain amount. Running tracks in sporting arenas and 2D egg forms are two straightforward examples of ellipses in daily life.
here we have,
center at (5,-2), one vertex at (2, -2) and a focus at
(5+ √5,-2)
so the answer is (5+ , root5)
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altitude is drawn from the vertex of an isosceles triangle, forming a right angle
and two congruent triangles. As a result, the altitude cuts the base into two
equal
segments. The length of the altitude is 36 inches, and the length of the base is 12
inches. Find the triangle's perimeter. Round to the nearest tenth of an
Answer:18
Step-by-step explanation:15 + 6 u add the 15 and the 6 for it to be 18
help me please anyone
Answer:
X=3
Step-by-step explanation:
180-105-46=6x+11
6x+11=29
6x=18
x=3
D) If one gallon of paint covers 0.6 square meters, how many gallons of black paint they
need to paint the house?
Show your work
The width of the house is 3.5m and the height is 2.5m
Answer:
14.5833333333
Step-by-step explanation:
3.5x2.5=8.75, divided by 0.6 is 14.5833333333