What two consecutive intergers dose the value below lie?
-√156
Answer: First we need to create an equation
x+x+2+x+4=156
3x+6=156
3x=156–6
3x=150
x=50
The answer is 50,52, and 54.
Check
50+(50+2)+(50+4)=156
50+52+54=156
Step-by-step explanation:
Your welcome :)
The monthly utility bills in a city have a mean of $70 and a standard deviation of $8. Find the s-scores that correspond to utility bills of $60, $71 and $9. What can you conclude
Z-Score for:
$60:
$71:
$92:
92 because I'm really good at math
The z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.
What is Z-score?A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,
[tex]Z = \dfrac{X- \mu}{\sigma}[/tex]
Where Z is the Z-score,
X is the data point,
μ is the mean and σ is the standard variable.
As it is given that the standard deviation of the monthly utility bills is $8, while the mean is $70. Therefore, the z-score can be written as,
A.) X= 60
[tex]Z = \dfrac{X- \mu}{\sigma}=\dfrac{60- 70}{8} = -1.25[/tex]
B.) X = 71
[tex]Z = \dfrac{X- \mu}{\sigma} = \dfrac{71- 70}{8}=0.125[/tex]
C.) X = 92
[tex]Z = \dfrac{X- \mu}{\sigma}= \dfrac{92- 70}{8}=2.25[/tex]
Hence, the z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.
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8 1/4 = 4b - 3/4
2 step equation
Suzie looked at the diagram at right and wrote 134%=134/200. Is she correct?
Answer:
no.
Step-by-step explanation:
134% is 134/100, or 1.34
At 109°F, a certain insect chirps at a rate of 77 times per minute, and at 117°F, they chirp 101 times per
minute. Write an equation in slope-intercept form that represents the situation.
The equation that represents this situation is
Answer:
y=3x-250
Step-by-step explanation:
Slope intercept form: y=mx+b
Step 1) to find slope, use (y2-y1)/(x2-x1)
(101-77)/(117-109) = 3
m = 3
Step 2) determine y-intercept (b)
109 * 3 = 327
77-327 = -250
b=-250
y=3x-250
Liz is shopping for a game system. Two competing stores offer deals on the system that she wants to purchase.
Where should Liz shop? Show all of your work and explain your reasoning.
Answer:
Liz should shop at the store with the item with a reasoning price in other words the one that costs less.
Step-by-step explanation:
You didn't give the stores prices but that would be what I would think.
help help help please
Answer:
28
Step-by-step explanation:
first substract 49-21 which will give u 28.
then use this 28 for the other trapezium
add up 24 and 28 together which give 52. then substract 52 from 24 which will give u the answer 28. so therefore 28 is the answer.
hope u understood
4. Each morning you do a combination of aerobics, which burns about 12 calories per
minute, and stretching, which burns about 4 calories per minute. Your goal is to burn
416 calories during a 60-minute workout. How long should you spend on each type of
exercise to burn the 416 calories?
22 minutes is spent doing aerobics and 38 minutes doing stretching
Let x represent the amount of time spent doing aerobics, Let y represent the amount of time spent doing stretching.
Since the goal is to do a 60-minute workout, hence:
x + y = 60 (1)
Also, 416 calories needs to be burnt hence:
12x + 4y = 416 (2)
We need to solve equation 1 and 2 simultaneously; multiply equation 1 by 4 and subtract the result from equation 2, hence:
8x = 176
x = 22 minutes
Put x = 22 in (1)
22 + y = 60
y = 38 minutes
Therefore 22 minutes is spent doing aerobics and 38 minutes doing stretching.
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A rectangular garden has an area of 46 1/2 square feet. If the garden is 7 1/2 feet long, how many feet wide is it?
Answer:
The answer is 6 1/5 feet in width.
Step-by-step explanation:
Since the formula for area is wl or width x length, we can utilize our reversive property to find our width by dividing the Area we are given by our length, giving us the missing width in return. Dividing 46.5 square feet by 7.5 feet gives us 6.2 feet, or 6 1/5 feet.
Hope this helps!
What is the value of x in the equation
4z +16
12
= х - 4?
[tex] \frac{4x + 16}{12} = x - 4 \\ = > 4x + 16 = 12(x - 4) \\ = > 4x + 16 = 12x - 48 \\ = > 16 + 48 = 12x - 4x \\ = > 64 = 8x \\ = > x = \frac{64}{8} \\ = > x = 8[/tex]
Answer:x = 8
HELP ME PLEASE
7. When Mrs. Santo lived in China, temperature was measured in Celsius. She constantly had to convertir
Celsius to Fahrenheit until she started learning Celsius temperatures and how warm they are.
The formula to convert from Celsius to Fahrenheit is F = = C) + 32
The mean temperature for one month was 34°C and the standard deviation was 2.27.C. Applying what
know about multiplying by a constant and adding a constant, what was the mean and standard deviation
Fahrenheit? Be sure to show your work for both the mean and the standard deviation.
Answer:
Mean: [tex]93.2\; \rm ^{\circ} F[/tex].
Standard deviation: [tex]4.086\; \rm ^{\circ} F[/tex].
Step-by-step explanation:
Consider a random variable [tex]X[/tex] with mean [tex]\overline{X}[/tex] and variance [tex]{\rm Var}(X)[/tex].
If a random variable [tex]Y[/tex] is obtained by linearly transforming [tex]X[/tex] for some constants [tex]m \ne 0[/tex] and [tex]b[/tex], then the mean of [tex]Y\![/tex] would be:
[tex]\overline{Y} = m\, \overline{X} + b[/tex].
[tex]\mathrm{Var}(Y) = m^{2} \, \mathrm{Var}(X)[/tex].
The standard deviation of a random variable is the square root of its variance. Therefore, the standard deviation of [tex]Y[/tex] would be:
[tex]\begin{aligned}\mathrm{SD}(Y) &= \sqrt{\mathrm{Var}(Y)} \\ &= \sqrt{m^{2}\, \mathrm{Var}(X)} \\ &= m\, \sqrt{\mathrm{Var}(X)} \\ &= m\, \mathrm{SD}(X)\end{aligned}[/tex].
In this question, the random variable [tex]F[/tex] is obtained by linearly transforming [tex]C[/tex] using the constants [tex]m = (9/5)[/tex] and [tex]b = 32[/tex]. That is:
[tex]F = (9/5)\, C + 32[/tex].
It is given that mean [tex]\overline{C} = 34[/tex] while standard deviation [tex]\mathrm{SD}(X) = 2.27[/tex]. The mean and standard deviation of [tex]F[/tex] obtained from the linear transformation would be:
[tex]\begin{aligned}\overline{F} &= m\, \overline{C} + b \\ &= (9/5) \times 34 + 32\\ &= 93.2\end{aligned}[/tex].
[tex]\begin{aligned}\mathrm{SD}(F) &= m\, \mathrm{SD}(C) \\ &= (9/5) \times 2.27 = 4.086\end{aligned}[/tex].
Thus, when measured in degrees Fahrenheit, the corresponding mean would be [tex]93.2\; \rm ^{\circ} F[/tex] and and standard deviation would be [tex]4.086\; \rm ^{\circ} F[/tex].
ASAPPPPPO due at 11:59pm
Answer:
Part 1 : 22
Part 2 : 34
Step-by-step explanation:
Given f(x)=-x+2f(x)=−x+2, find f(-1)f(−1)
Answer:
f(-1) = 3
Step-by-step explanation:
Plug -1 into the equation
-(-1)+2
Help help help please
Answer:
hey there,
<5=130°because of transversal line
Determine whether each expression is a monomial. Write yes or no. Explain your reasoning. 1. 21/27 2. 32/
Answer:
1. Yes and for 2. I don't know
Step-by-step explanation:
1. is a monomial because 21/27 is one group
Need help ASAP! Directions in picture ;)
Answer:
x=5
Step-by-step explanation:
Name the asymptote for the graphed function.
x = 2
x = 4
y = 2
y = 4
y=2
There is one horizontal asymptote present
See the line of graphed function is approaching to 2 but not crossing y=2 .Instead it is trying to be parallel with x axis.Hence the horizontal asymptote is at y=2Option C
32 cubic cenimters it takes 8 cenimeters cube
Answer:
4
Step-by-step explanation:
32 divided by 8
Please help! I neeeeeeeeeeeeddddddddd HELP!
Answer:
probably 400 its closest to what i got
Step-by-step explanation:
I need help pls and thx
Answer: the answer is 21√10
Step-by-step explanation:
Step-by-step explanation:
ini bahasa apa goblaok
it takes tania 1 1/4 hours to beat a level of her video game. Last week she played for 7 1/2 hours. How many levels did she beat last week
Instructions-Solve the system of equations. Type in all points of intersection for the two functions and round to the nearest tenth if necessary.
-
f(x) = 5x + 25 - 1
8(x) - - 2x-3
Answer:
f(x)=5x+25-1
8(x)- -2x-3
=30-1
=8x+6x
=29+14x
43x
The point of intersection of the two functions is (3, 27).
The system of equations is:
f(x) = 5x + 25 - 1 = 5x + 24
g(x) = 2x - 3
To solve this system, we can use the elimination method. We can eliminate the x-term by adding the two equations together.
f(x) + g(x) = 5x + 24 + 2x - 3 = 7x + 21
Solving for x, we get:
x = 21/7 = 3
Now that we know the value of x, we can plug it back into either equation to find the value of y. Let's use the equation for f(x).
f(x) = 5x + 24
f(3) = 5(3) + 24 = 27
Therefore, the point of intersection of the two functions is (3, 27).
To the nearest tenth, the point of intersection is (3.0, 27.0).
The point of intersection of the two functions is (3, 27).
The system of equations is:
f(x) = 5x + 25 - 1 = 5x + 24
g(x) = 2x - 3
To solve this system, we can use the elimination method. We can eliminate the x-term by adding the two equations together.
f(x) + g(x) = 5x + 24 + 2x - 3 = 7x + 21
Solving for x, we get:
x = 21/7 = 3
Now that we know the value of x, we can plug it back into either equation to find the value of y. Let's use the equation for f(x).
f(x) = 5x + 24
f(3) = 5(3) + 24 = 27
Therefore, the point of intersection of the two functions is (3, 27).
To the nearest tenth, the point of intersection is (3.0, 27.0)
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f(x) = sqrt(2x); g(x) = sqrt(8x) Find (fg)(x) Assume x >= 0
The functions f(x) and g(x) combine to form a composite functions
The value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]
How to determine the function (fg)(x)The functions are given as:
[tex]f(x) = \sqrt{2x[/tex]
[tex]g(x) = \sqrt{8x[/tex]
To calculate (fg)(x), we have:
[tex]f(x) = \sqrt{2x[/tex]
This gives
[tex]f(g(x)) = \sqrt{2g(x))[/tex]
Substitute [tex]g(x) = \sqrt{8x[/tex]
[tex]f(g(x)) = \sqrt{2*\sqrt{8x}[/tex]
Simplify
[tex]f(g(x)) = \sqrt{4\sqrt{2x}[/tex]
Hence, the value of the composite function f(g(x)) is [tex]\sqrt{4\sqrt{2x}[/tex]
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Answer:
f.g x = 4x
Step-by-step explanation:
Given segment AX with point Q between A and X. AX = 25. AQ = 2y + 1. QX = 3y - 1.
We can set up an equation to solve for y using the fact that
y =
AQ =
QX =
Q
Answer:
y=5
AQ=11
QX=14
Q is not a midpoint
Step-by-step explanation:
A line segment can be divided into equal or unequal segments
The values of x, AQ and QX are 5, 11 and 14.
The given parameters are:
[tex]\mathbf{AX = 25}[/tex]
[tex]\mathbf{AQ = 2y + 1}[/tex]
[tex]\mathbf{QX = 3y - 1}[/tex]
[tex]\mathbf{AX = 25}[/tex] can be rewritten as:
[tex]\mathbf{AQ + QX =25}[/tex]
Substitute values for AQ and QX
[tex]\mathbf{2y + 1 + 3y - 1 =25}[/tex]
Execute like terms
[tex]\mathbf{5y =25}[/tex]
Divide both sides by 5
[tex]\mathbf{y =5}[/tex]
Substitute 5 for y in [tex]\mathbf{AQ = 2y + 1}[/tex] and [tex]\mathbf{QX = 3y - 1}[/tex]
[tex]\mathbf{AQ = 2 \times 5 + 1 = 11}[/tex]
[tex]\mathbf{QX = 3 \times 5 - 1 = 14}[/tex]
Hence, the values of x, AQ and QX are 5, 11 and 14.
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The cost (c) to buy gasoline for a car varies directly to the amount of gas (g) in gallons purchased. Helen spent $16.72 on 8 gallons of gas for her car. Nathan is buying the same gasoline, but only has $10.45 to spend. How many gallons of gas can Nathan buy? How do you know?​
Answer:
5 gallons
Step-by-step explanation:
1) How much did Helen spend per gallon?
16.72/8 = $2.09/gallon
2) 2.09g = 10.45
10.45/2.09 = g
does anyone know where to find this packet or the answers to this
Answer:
look up the packet name and after that put answer key
Step-by-step explanation:
.
∠A and \angle B∠B are complementary angles. If m\angle A=(7x+23)^{\circ}∠A=(7x+23)
∘
and m\angle B=(5x+19)^{\circ}∠B=(5x+19)
∘
, then find the measure of \angle B∠B.
Since there are complementary angles, the value of angle B is 39°.
Angle A = 7x + 23°
Angle B = 5x + 19°
It should be noted that the total angles in a complementary angle are equal to 90°.
Therefore, we need to add angle A and B together and then equate them to 90°. This will be:
7x + 23° + 5x + 19° = 90°
Collect like terms
12x + 42° = 90°
12x = 90° - 42°
12x = 48°
x = 48°/12
x = 4°
Angle A = 7x + 23° = 7(4) + 23° = 28° + 23° = 51°
Angle B = 5x + 19° = 5(4) + 19° = 20° + 19° = 39°
The value of angle B is 39°.
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Gerard collects coins. he has 103 pages of quarters in his coin collection books. each page contains 16 quarters. How many quarters does Gerard have altogether?
please help!
Ryan has a weekend job advertising an upcoming play. He has two options for being paid. Option
A is an hourly wage of $ 7.75. Option B is a 5% commission on all money made at the play. He
plans to work 7 hours each day on Saturday and Sunday. Ryan estimates the play will make about
$2,100 this weekend. Which option gives Ryan more earnings this weekend?
Choose the correct answer below.
0.4. Option A gives Ryan more earnings this weekend.
ОВ. Option B gives Ryan more earnings this weekend.
OC. Both options give Ryan the same amount of earnings.
Answer:
Option B gives Ryan more earnings this weekend
Step-by-step explanation:
Option A = $7.75×7 hours= $54.25
Option B= 5% commission, if the play gets $2100, he will earn $105
2(3w-6)=5w+8
asap plz
Answer:
w = 20
Step-by-step explanation:
2 (3w - 6) = 5w + 8
distribute the 2
6w - 12 = 5w + 8
subtract 5w from both sides
w - 12 = 8
add 12 to both sides
w = 20
Answer:
The value of w is 20.
Step-by-step explanation:
Solution :
[tex]{\longmapsto{\tt{2(3w - 6)=5w + 8}}}[/tex]
[tex]{\longmapsto{\tt{(3w \times 2 )- (6 \times 2)=5w + 8}}}[/tex]
[tex]{\longmapsto{\tt{(6w)- (12)=5w + 8}}}[/tex]
[tex]{\longmapsto{\tt{6w - 12=5w + 8}}}[/tex]
[tex]{\longmapsto{\tt{6w - 5w = 8 + 12}}}[/tex]
[tex]{\longmapsto{\tt{w = 20}}}[/tex]
Hence, the value of w is 20.
[tex]\rule{300}{2.5}[/tex]