Answer:
1.) [tex]\frac{5}{4\\}[/tex]
2.) [tex]\frac{4}{3}[/tex]
3.) 1
4.) [tex]\frac{2}{3}[/tex]
5.) [tex]\frac{9}{8}[/tex]
6.) [tex]\frac{7}{8}[/tex]
Step-by-step explanation:
The 2 steps for all of these is to get common denominators and then add and simplify.
1.) 3/4 + 1/2 (common denominator) 3/4 + 2/4 = 5/4
2.) 5/6 + 1/2 (common denominator) 5/6 + 3/6 = 4/3
3.) 3/6 + 1/2 (common denominator) 3/6 + 3/6 = 6/6 (simplify) = 1
4.) 1/6 + 4/8 (common denominator) 8/48 + 24/48 = 32/48 (simplify) = 2/3
5.) 7/8 + 1/4 (common denominator) 7/8 + 2/8 = 9/8
6.) 3/8 + 1/2 (common denominator) 3/8 + 4/8 = 7/8
A gym knows that each member, on average, spends 70 minutes at the gym per week, with a standard deviation of 20 minutes. Assume the amount of time each customer spends at the gym is normally distributed. Suppose the gym surveys a random sample of 49 members about the amount of time they spend at the gym each week. What are the expected value and standard deviation (standard error) of the sample mean of the time spent at the gym
Answer:
the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively
Step-by-step explanation:
The computation of the expected value and the standard deviation of the sample mean is shown below:
The mean is 70
And, the standard deviation is
= 20 ÷ √49
= 20 ÷ 7
= 2.86
Hence, the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively
A 29-foot rope is cut into two pieces. The longer piece is 2 feet longer than twice the shorter piece. How long is each piece?
Answer:
20 is the longer piece, 9 is the shorter piece
Step-by-step explanation:
9*2=18
18+2=20
20+9=29
Does anyone have the answer key to this? Need it ASAP!
The Distance between point A and Point B is √10 units.
What is Distance?Distance is a numerical measurement of how far apart objects or points are. In Physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
Here, Coordinates of A is (1, 8) and B is (4, 9).
Distance formula = √(x₂-x₁)² + (y₂-y₁)²
= √(4 - 1)² + (9 - 8)²
= √9 +1
AB = √10
Thus, the Distance between point A and Point B is √10 units.
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You earn $18 for watching three cars how much do you earn to Washing 2 cars
Answer:
$12
Step-by-step explanation:
3 cars divide that by $18 and u get $6 per car. multiply that by two cars nd you get $12.
Jim has 28 mangoes he gave Tom 8 how many does Jim has
Answer: 20 mangoes.
Step-by-step explanation: This is a simple subtraction problem. If you take away 8 from 28, you'll have 20.
28 - 8 = 20
●10 Kate is reading a 500-page book. The graph below represents the relationship between the
number of hours Kate has spent reading and the number of pages she has read.
Kate’s
rate
0 1
50
2
100
3
150
200
4 5
250
6
300
350
400
450
x
y
Reading Rate
Number of Pa
ges Read
Time (in hours)
(5, 200)
On the grid in your Student Answer Booklet, copy the x-axis, the y-axis, and the line
representing Kate’s reading rate exactly as shown. Be sure to label the line “Kate’s rate.”
"200" (and any subsequent words) was ignored because we limit queries to 32 words
Kate is reading 40 pages per hour.
The whole book takes 12.5 hour to complete.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
From the data we have (5, 200) and (5,0)
then slope= (200-0) / 5
= 40
So, Kate is reading 40 pages per hour.
Now, to read the whole book i.e., 500 pages it takes
= 500/40
= 12.5 hours
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Can you please help me do a and b I will reward brainliest
a) 640.32 cm^3
b) 98.4 cm^3
Step-by-step explanation:Part a)Cylinder volume:(3.14) × 2^2 × 12 = 150.72 cm^3
Triangular prism:We need to find the height of the base so we use the Pythagorean theorem.
5^2 + x^2 = 14.1^2
25 + x^2 = 198.81
x^2 = 173.81
x = 13.184
After finding height, we can use the equation for a normal triangular prism:
[tex]\frac{1}{2}[/tex] × Base × Height × Length
[tex]\frac{1}{2}[/tex] × 13.184 × 10 × 12= 791.04cm^3
Total Volume: 791.04 - 150.72 = 640.32 cm^3
Part b)Small Sphere Volume:[tex]\frac{4}3[/tex] × 3.14 × 1^3 = [tex]\frac{314}{75}[/tex]cm^3
Half Sphere Volume :0.5([tex]\frac{4}3[/tex]× 3.14 × 3^3) = 56.52cm^3
Cone Height:5^2 = 3^2 + h^2
25 = 9 + h^2
16 = h^2
h = 4
Cone Volume:(3.14) × 3^2 × [tex]\frac{4}{3}[/tex] = 37.68 cm^3
Total Volume = 98.4 after rounding
What is
1. (1-1/4) x 4
2. 2- 1/4 x4 +4
3. 8 + 10 x 1/2
Answer:
1. 3
2. 5
3. 13
Step-by-step explanation:
there is your answers :)
Helppppppppppppppppppppppppppppppppppp
Answer:
acute.... ....... .. . ......
Solve to find the height of a triangle with the base of 10 feet in the area of 21 feet
Answer: 4.2
Step-by-step explanation:
hb=2A
b=2·21
10=4.2ft
Select all numbers that have an absolute value of 4.
You didnt give us the numbers but it should be 4 and -4
Help plssssssssss I don’t wanna fail
Answer: 5:15 PM
Step-by-step explanation: All you need to do is add numbers together. Make sure to remember that there is 60 minutes in one hour :)
Subtract y from 5....
Answer:
5y-y= 5? I don’t know I’m not totally sure.
Step-by-step explanation:
2344x24553 math question please answer
Answer:
57552232
Step-by-step explanation:
58% of a $148 selling price goes toward paying expenses. How many dollars of the selling price is profit?
Answer:
62.16
Step-by-step explanation:
6×squared plus 15×plus 4×
Answer:
56
Step-by-step explanation:
6^2 = 36
36 + 15 = 51
51 + 4 = 56
Solve for the area of the triangle in each of the following problems.
Answer:
area of triangle = 1/2×base×height
area of triangle =1/2×15m×16m
area of triangle =120m²
Plz help just solve quicklyyy
Answer:
d
Step-by-step explanation:
The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
of pineapple gummies and 1 and 5/6 pound of strawberry gummies. How
may pounds of gummies is in a pack?
Find the equation of the line that
is parallel to y = 4x + 1 and
contains the point (1, 1).
Answer:
4x-3
Step-by-step explanation:
Equation of the line that is parallel to y = 4x + 1 and contains the point (1, 1) is y = 4x - 3.
What are equation of a line that is parallel to that line?Two lines are said to be parallel if they always maintain the same distance apart. If two lines are drawn so that they could extend into infinity without ever meeting each other, these lines are called parallel. Parallel lines are also called Equidistant lines.
Given
Equation of line y = 4x + 1
Point = (1, 1)
Equation of the line that is parallel to y = 4x + 1 is y=kx + b
Here k =4
y = 4x + b and contains the point (1,1)
Substitute the point (1,1) in y= 4x + b
⇒ 1 = 4(1) + b
⇒ 1 - 4 = b
⇒ b = -3
y = 4x + b
⇒ y = 4x - 3
Equation of the line that is parallel to y = 4x + 1 and contains the point (1, 1) is y = 4x - 3.
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Simplify the expression $(x-4)(x-7) + (3-x)(2+x).$
Help please! make sure to remember you have to simplify! not solve!
geometry math plz help
Answer:
1. mCD is equal to 84 degrees.
2. I believe that RPT would be equal to approximately 51 feet. I think I am right, but I am not 100% sure. I used formula though.
Step-by-step explanation:
1. In order to find the measure of CD, you would find the measure of AD and CD, because they add to 180, and from there you can take the answer, which will be the x value, and plug it back into measure CD's equation.
1. Add the equations of mAD and mCD and set them equal to 180, because together on the graph they add to 180 degrees, which is a semi-circle.
19x-49+5x+37=180
24x-12=180
2. Solve.
24x-12=180
24x=168
x=7
3. Plug x back into mCD and find the answer!
19(7)-49=84
mCD= 84 degrees!
2. Arc Length Formula
2[tex]\pi[/tex]r degrees/360
2pi (14) 208/360≈51
Which of the following is NOT a solution to the system of inequalities?
Answer:
(2;-2)
Step-by-step explanation:
for more details see the attached picture.
What is the volume of a cylinder, in cubic cm, with a height of 8cm and a base
diameter of 18cm? Round to the nearest tenths place.
How many solutions are there in the equation 2x - 5 = 2x - 5?
Answer:
the equation 2(x - 5) = 2x + 3 has no solutionStep-by-step explanation:
Evaluate the following algebraic expression at x = 4 and simplify your answer.
- 5x – 18 – 7x
Collin bought one T-shirt for $7.90 and another T-shirt for $12.40. What is the total amount he spent?
4.
In order to purchase a new CD player, Rosa must
save at least $85.00. What inequality represents
the amount of money, m, Rosa must save?
what is the measure of the missing angle?
NEED HELP ASAP FREE BRAINLIST
Answer:
the correct answer is 904.78 cubic. inches