Answer:
x ≥ - 1
Step-by-step explanation:
10x + 5 ≥ 2x - 3 ( subtract 2x from both sides )
8x + 5 ≥ - 3 ( subtract 5 from both sides )
8x ≥ - 8 ( divide both sides by 8 )
x ≥ - 1
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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A store is advertising that it offers a 14% discount had on everything purchased at the store. When Aiza (آئزہ) had paid $670.80 for her purchase, what was the originally marked price for her item (or items) in dollars?
A. 780
B. 1284.50
C. 701.60
D. 1089.00
Answer:
780
Step-by-step explanation:
Solve 5x + 14 = k for x
Answer:
[tex]x = \frac{k - 14}{5} \\ [/tex]
Step-by-step explanation:
[tex]5x + 14 = k \\ 5x = k - 14 \\ x = \frac{k - 14}{5} \\ [/tex]
Four students, Amanda, Briana, Courtney, and Diana were given an assignment in their math class to create inequalities with the sme solution set as shown on the graph below.
The graph of the inequality is drawn by placing a shaded circle at 4 as the starting point of ray pointing towards negative infinity
The students that created inequalities with appropriate solution set are;
A. Amanda
D. Diana
Reasons:
Question: The table of the question is presented as follows, and the graph of the inequality is attached
[tex]\begin{array}{|l|l|}\mathbf{\underlie{Amanda}}&-3\cdot x + 5 > -7\\&\\\mathbf{\undrline{Briana}}& \dfrac{1}{2} \cdot (2\cdot x - 4) >2 \\&\\\mathbf{\undrline{Courtney}}&-7\cdot x + 8 > -3 \cdot x +24\\&\\\mathbf{\undrline{Diana}}&9\cdot x - 6 <3 \cdot x+18\end{array}\right][/tex]
Solution:
The inequality with the same solution as the given graph is x < 4
The inequalities created by the students are;
Amanda;
-3·x + 5 > -7
Rearranging the above inequality gives;
-3·x + 5 - 5 > -7 - 5
-3·x > -12
Dividing both sides by (-1) and reversing the inequality sign gives;
[tex]\dfrac{-3 \cdot x}{-3} = x < \dfrac{-12}{-3} = 4[/tex]
x < 4
Therefore;
The solution of the inequality created by Amanda is x < 4, which is the same as the solution set of the graph, and therefore, is appropriateBriana;
The solution set created by Briana is [tex]\dfrac{1}{2} \cdot (2\cdot x - 4) >2[/tex]
Multiplying both expressions on either side of the equality by 2 gives;
[tex]2\times \dfrac{1}{2} \cdot (2\cdot x - 4) >2\times 2[/tex]
(2·x - 4) > 4
2·x > 4 + 4 = 8
[tex]x > \dfrac{8}{2}[/tex]
Therefore
x > 4
The solution of the inequality created by Briana is x > 4 which is not appropriate for the given graphCourtney;
The inequality created by Courtney is -7·x + 8 > -3·x + 24
Rearranging gives;
8 - 24 > -3·x + 7·x
-16 > 4·x
4·x < -16
[tex]x < \dfrac{-16}{4}[/tex]
x < -4
Courtney's solution is x < -4, which is not an appropriate solution to the given graphDiana;
Diana's solution is 9·x - 6 < 3·x + 18
Rearranging, we get;
9·x - 3·x < 18 + 6
6·x < 24
[tex]x < \dfrac{24}{6}[/tex]
x < 4
Therefor;
Diana's solution is an appropriate solution to the given graphTherefore, the students that created inequalities with appropriate solution set are;
A. Amanda
D. Diana
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A painter charges $15.30 per hour, plus an additional amount for the supplies. If he made $187.81 on a job where he worked 7 hours, how much did the supplies cost?
Answer:
$80.87
Step-by-step explanation:
The cost of supplies would be $80.87 This is because 15.33 • 7 = 107.31 and 188.18 - 107.31 = 80.87
What is the value of x in the triangle below?
ModuleTwoPostAs...
a
>> Q
3x
T
V
8x - 30
R
15
45
6
18
Answer:
d
Step-by-step explanation:
the difference of a number and its absolute value.
Answer:
he sum of the first number and the square of the second number is 18. The difference between the square of the second number and twice the first number is 12.
I know the first set of equations would be x+y2=18 and y2−2x=12, and we can get x=2 and y=2 or y=−2.
My question is about how to understand difference when making equations. I know it means subtraction but would you ever use absolute values when making the equation?
For example, if I said the difference between a number x and 7 is 3, then wouldn't there be two answers? I would think of it as |x−7|=3 and then we could get two answers: x=10 and x=4. My rationale is that on the number line, the distance between either of my x values and 7 is 3.
In the quoted question I began with, then I could get the numbers of x=10 and y=22–√ or y=−22–√ but that's only if I did |y2−2x=12| and I don't feel that's right.
Step-by-step explanation:
Helppppppppppppppppppppppppppppppppppppppppp pls
Answer:
Coffee Beans to Go is cheaper, selling coffee at $4.75 per pound.
Step-by-step explanation:
The graph is cruddy and hard to see but! when you go to 2 pounds and then up the the cost, it's $9.50. 9.50/2= 4.75. kapeesh??
two thirds of a number increased by five. write in algebraic expression
Answer:
[tex]\frac{2}{3}[/tex] n + 5
Step-by-step explanation:
let n be the number , then the algebraic expression is
[tex]\frac{2}{3}[/tex] n + 5
If Mac were to get 76 apples from her friends and then get 3 more from the store, and then find two absolutely fine apples in the sewers, then go for a walk and find 7500 apples in someone's car, how many healthy apples would she find? Bet you can't solve it ;)
Answer:
3?
Step-by-step explanation:
Answer:
None because the apples are all poisoned.
Step-by-step explanation:
1) Use the point at (4, 6) to answer the following. *
7 points
1. Which situation is best described by the graph
shown?
a. purchases chips for $0.75 per bag.
b. Mark buys packs of gum for $1.50 each.
c. Paula pays $0.50 per ticket at the fair.
d. Franco purchases flowers for $3.00 each.
What can divided 62 and 30
The price of a dress was reduced from $40 to $30. By what percentage was the price of the dress reduced?
Answer:
The price of the dress was reduced by 25%
Step-by-step explanation:
Answer:
The price for the dress was reduced by 25%.
Step-by-step explanation:
25% of 40 is 10.
40 - 10 = 30, explaining the dress' price reduction from 40 to 30.
Hope this helps!
Evaluate 3p - 59 for p =6 and q = 4.
My answer:
−p2−4q+r2 =−(−5)2−4(4)+(−10)2 .
In today’s lesson you voted a sheet of paper multiple times. Identify the rectangles that were scaled copies of your original rectangle sheet of paper. Use the image to help.
HELP ASAP BRAINLIEST!
One pump can fill a tank of water in 4 hours. A second pump can fill the same tank in 3 hours. If both pumps are used together, how long will it take to fill the tank?
1.7 hours
6.7 hours
.5 hours
2.3 hours
Answer:
1.7
Step-by-step explanation:
in one hour, the first pump can fill the tank 1/4 of the way
in one hour, the other can fill it 1/3 of the way.
get them to the same denominator.
3/12+4/12=7/12 of the tank in one hour
1÷7/12=12/7=1 5/7=1.7
solve 4(a-3) = 22
solve 5(x -6) = 65
with explanation, please
giving 20 points
Step-by-step explanation:
4(a-3)=22
a-3=4-22
a-3=18
a=18+3
a=21
5(x-6)=65
x-6=65-5
x-6=60
×=60+6
x=66
hope it will help u...............
Answer:
a = [tex]\frac{34}{4}[/tex]
x = 19
Step-by-step explanation:
First equation
Expand the brackets
4(a-3) = 22
4a - 12 = 22
Add 12 to both sides
4a - 12 + 12 = 22 + 12
4a = 34
Divide both sides by 4
4a ÷ 4 = [tex]\frac{34}{4}[/tex]
a = [tex]\frac{34}{4}[/tex]
Second equation
Expand the brackets
5(x - 6) = 65
5x - 30 = 65
Add 30 to both sides
5x - 30 + 30 = 65 + 30
5x = 95
Divide both sides by 5:
5x ÷ 5 = 95 ÷ 5
x = 19
Hope this helps!
David begins the summer with a savings of $54.00 more than Fatima. David's job pays $8.25 per hour. Fatima's job pays $9.75. If they both work the same amount of time each day, how many hours of work will it take David to have as much money as Fatima? (write an inequality and then solve it)
Answer:
Inequality: 8.25x + 54 = 9.75
Step-by-step explanation:
Why?
It will take 36 hours for David to have as much as Fatima.
David :
Initial saving = 54
Pay per hour = $8.25
While Fatima :
Pay per hour = $9.75
Let number of hours worked = x
David's total = $8.25x + 54
Fatima's total = 9.75x
In other to have the same amount :
8.25x + 54 = 9.75x
The like terms :
8.25x - 9.75x = - 54
-1.5x = - 54
x = - 54 / - 1.5
x = 36
Therefore, it’ll take 36 hours for David to have as much as Fatima.
Answer:
36 hours
Step-by-step explanation:
stay great peepz!
-TinyDiamond
Write an equation of the line that passes through the point (4, –5) with slope 2.
Answer:
y + 5 = 2(x−4)
Step-by-step explanation:
slope = 2
y = mx + b
-5 = 2(4) + b
-5 = 8 + b
-8 -8
------------------
-13 = b
y = 2x - 13, in other words --> y + 5 = 2(x−4)
So, y + 5 = 2(x − 4) is the equation of the line that passes through (4, -5).
Answer:
y + 5 = 2(x−4)
Step-by-step explanation:
y = mx + b
-5 = 2(4) + b
-5 = 8 + b
subtract 8 on both sides
-13 = b
Greg drives at 50 mph for 2 hours.
How far did he drive?
O 20 mi
O 75 mi
0 125 mi
O 150 mi
Answer:
125 mi po Hindi kopo sure
(10x-18) (8x+14) value of x
Answer: 80 x^3 - 4x^2- 252x
Step-by-step explanation:
Answer:
80^2 − 4 − 252
Step-by-step explanation:
in pic
(Credit: Symbolab)
(hope this helps can I pls have brainlist (crown)☺️)
the population of london city is 11400. write this in scientific notation
Answer:
1.14 x 10x4
Step-by-step explanation:
thats is correct i just did the test
find f^-1(x) where
f(x)=3x+2/x
Answer:
x = -3y + 2
-3y = x - 2
f^-1(x) = y = -(x-2)/3
Step-by-step explanation:
The inverse here is just straight line so it is a function
Choose the best answer to classify the following number as Rational, Irrational, a Natural Number, or not a Real Number: 0/7
Answer:
a natural number
Step-by-step explanation:
0/7=0
and then '0' is included in natural numbers from, 0,1,2,3,4,.........
please answer i will give a thanks!
Answer:
21cm^2
Step-by-step explanation:
Formula for area of triangle = (base x height) / 2
in this triangle: base = 7 Height = 6
= (7 x 6) / 2
= 42 /2
= 21cm^2
AB || DE. Calculate the value of angle x°.
Answer:
23 maybe because there is a 90 degree angle
Answer:
sorry sorry for bad hand writing
but u are right it is 153 degree
pls make me brainiliest
use the distibutive property to find the product
1/5 x 5 10/11
Answer:
1/2/11
Step-by-step explanation:
1/5×5/10/11=1/5×65/11
=13/11
=1/2/11
Dr. Reyes is examining whether exercise is linked to mood. She recruits a sample of college students and asks them to answer whether they exercised at least three times last week (yes or no) and to rate their mood in the last week (1: Not happy at all to 5: Very happy). Her results show that students who exercised in the last week also reported happier moods. Can Dr. Reyes make a causal inference from her study
The answer to whether Dr. Reyes can make a causal inference from the study is;
No, she can't make a casual inference from the study because she met only one of the three criteria's for causality.
To answer this question, we need to know the conditions for causality in statistics research because causality gives the relationships such that a change in one variable would have to result in a change in another variable.
Now, the three conditions are;
1) Covariation; This condition means that the causal variable must have to vary with with the variable it is assumed to cause in a systematic manner.
2) Temporal precedence; Thus condition simply means that cause must precede effect. In summary it denotes that the variable that has the causal effect must come before the effect that it is meant to cause.
3) Control for extraneous variables; This condition means that results of an experiment or research must not be due to factors outside of the experiment/research
Now, in our question, he fulfilled the covariation condition because the
result of the research is tied to the responses from the sample students.
However, she did not fulfill the temporal precedence because the cause of
their moods did not precede the effects in his research.
Also, she did not fulfill the condition of control of extraneous variables
because other factors outside of the research itself may have affected their
moods.
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Jordan started a new diet when he weighed 300 pounds. He lost an average of 5 pounds per week. Which of the following equations represents this situation?
Your Aunt Yvonne is shopping for flower pots at the local
garden store.
2 pots = 24 cm
4 pots = 32 cm
The equation which relates the height of the flower pot based on the number of pots is 4a + 16
Creating a system of linear equations based on the information given :
a = number of flower pots b = height of base4a + b = 32 - - - - - (1)
2a + b = 24 - - - - - (2)
From (2)
2a + b = 24
Make b the subject ;
b = 24 - 2a - - - - (3)
Put b = 24 - 2a in (1)
4a + 24 - 2a = 32
4a - 2a + 24 = 32
2a = 32 - 24
2a = 8
a = 8/2
a = 4
From (3) :
b = 24 - 2(4)
b = 24 - 8
b = 16
The equation which relates the height of a flower pot is 4a + 16
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