Answer:
y=-4/7
Step-by-step explanation:
7y/2=-2
multiply both sides by 2
7y=-4
divide both sides by 7
y=-4/7
The floor area of a rectangular room is 162 square feet. The width of the room is 9 feet. What is the length?
The length of the rectangular room will be;
⇒ 18 feet
What is mean by Rectangle?
A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The area of a rectangular room = 162 square feet
The width of the room = 9 feet.
Now,
Since, we know that;
Area of Rectangle = Length x Width
Let The length of the room = y feet
Substitute all the given values, we get;
The area of a rectangular room = Length x Width
162 = y x 9
Divide by 9, we get;
y = 162 / 9
y = 18 feet.
Thus, The length of the rectangular room will be;
⇒ 18 feet
Learn more about the rectangle visit:
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A carton contains 5 1/2 cups of juice one servings is 3/4 of cup how many servings of juice are in carton
Answer:
7 1/3 servings
Step-by-step explanation:
0.75x=5.5
x=5.5÷0.75
x=7.33333
-or-
7 1/3 servings
Write the product as a power:
(a–b) (a–b)
Answer:
(a - b)²
Step-by-step explanation:
We are given 2 (a - b) terms.
We can rewrite this as (a - b)².
How much tax is withheld from $45,580 if the tax rate is 4%?
Answer:
1,823.20
Step-by-step explanation:
I'm smart!
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. Kathy and her brother Clay recently ran in a local marathon. The distribution of finishing time for women was approximately normal with mean 259 minutes and standard deviation 32 minutes. The distribution of finishing time for men was approximately normal with mean 242 minutes and standard deviation 29 minutes. The finishing time for Clay was 289 minutes. Calculate and interpret the standardized score for Clayâs marathon time. Show your work.
Answer:
Clay's finishing time is 1.68 standard deviation above the mean finishing time for men.
Step-by-step explanation:
In statistics, a standardized score is the number of standard deviations an observation or data point is from the mean.
Let us consider a random variable, X that follows a normal distribution, N (µ, σ²).
Then Z is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is,
[tex]Z=\frac{x-\mu}{\sigma}\sim N(0, 1)[/tex]
This, z-score is known as the standardized score.
It is provided that the distribution of finishing time for men (say, X) was approximately normal with mean µ = 242 minutes and standard deviation σ = 29 minutes.
The finishing time for Clay was x = 289 minutes.
Compute Clay's z-score as follows:
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
[tex]=\frac{289-242}{29}\\\\=1.67857143\\\\\approx 1.68[/tex]
Thus, Clay's standardized score is 1.68.
That is, Clay's finishing time is 1.68 standard deviation above the mean finishing time for men.
what is the reflection of (5, -3.5) across x-axis
Answer:
(-5,-3.5)
Step-by-step explanation:
Answer:
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.
Step-by-step explanation:
The monthly utility bills in a city are normally distributed, with a mean of $ and a standard deviation of $. Find the probability that a randomly selected utility bill is (a) less than $, (b) between $ and $, and (c) more than $. (a) The probability that a randomly selected utility bill is less than $ is 0.0076. (Round to four decimal places as needed.) (b) The probability that a randomly selected utility bill is between $ and $ is 0.6859. (Round to four decimal places as needed.) (c) The probability that a randomly selected utility bill is more than $ is 0.0764. (Round to four decimal places as needed.)
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]P(X < 65) = 0.003467[/tex]
b
[tex]P(86 < X < 110 )= 0.63928 [/tex]
c
[tex]P(X > 120 ) =0.062024[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = \$ 100[/tex]
The standard deviation is [tex]\sigma = \$ 13[/tex]
Generally the probability that the monthly utility bills is less than $65 is mathematically represented as
[tex]P(X < 65) = P(\frac{X - \mu }{\sigma } < \frac{65 - 100 }{13 } )[/tex]
Generally
[tex]\frac{X - \mu }{\sigma } = Z (The\ standardized \ value \ of\ X )[/tex]
So
[tex]P(X < 65) = P(Z < -2.70 )[/tex]
From the z-table
[tex]P(Z < -2.70 ) = 0.003467[/tex]
So
[tex]P(X < 65) = 0.003467[/tex]
Generally the probability that a randomly selected utility bill is between $86 and $110 is mathematically represented as
[tex]P(86 < X< 110 )= P( \frac{86 -100}{ 13} < \frac{X - \mu}{\sigma } < \frac{86 -100}{ 13} )[/tex]
=> [tex]P(86 < X < 110 )= P( \frac{86 -100}{ 13} < Z < \frac{110 -100}{ 13} )[/tex]
=> [tex]P(86 < X < 110 )= P(-1.08 < Z < 0.77 )[/tex]
=> [tex]P(86 < X < 110 )= P(Z < 0.77 ) - P(Z < -1.08 ) [/tex]
From the z-table
[tex]P(Z < 0.77 ) = 0.77935[/tex]
and
[tex]P(Z < -1.08 ) = 0.14007[/tex]
So
[tex]P(86 < X < 110 )= 0.77935 - 0.14007 [/tex]
=> [tex]P(86 < X < 110 )= 0.63928 [/tex]
Generally the probability that the monthly utility bills is more than $120 is mathematically represented as
[tex]P(X >120 ) = P(\frac{X - \mu }{\sigma } > \frac{120 - 100 }{13 })[/tex]
=> [tex]P(X > 120 ) = P(Z > 1.538 )[/tex]
From the z-table
[tex]P(Z > 1.54 ) = 0.062024[/tex]
So
[tex]P(X > 120 ) =0.062024[/tex]
Which Function is represented in the graph?
Answer:
B
Step-by-step explanation:
The part of the function where x <=2 is a line, so we can rule out C and D. Lastly, the part of the function where x<=2 has a slope of -2, so we can rule out A. That leaves us with the only possible answer B
-4(3x + 2) =
what is it I need it as fast as you guys can please help
Answer:
-12x-8
Step-by-step explanation:
Use Math Way
Answer:
-12x-8
Step-by-step explanation:
-4(3x+2)
-4*3x= -12
-4*2=-8
the slant asymptote of f(x)=(x^2-4x+1)/(2x-3)
Answer:
y=1/2x-5/4
I hope this helps you and I hope you do well on whatever you are working on.
Answer:
True
Step-by-step explanation:
Use the diagram to complete the statements.
Segment AD must be congruent to segment
Segment BC must be congruent to segment
Answer:
dc , ab
Step-by-step explanation:
on edge 2020
Answer:
Segment AD must be congruent to segment
✔ DC
.
Segment BC must be congruent to segment
✔ AB
.Step-by-step explanation:
correct on edge nov 2020
Translate the sentence into an equation.
Eight times the sum of a number and 9 equals 5.
Use the variable x for the unknown number.
Answer:
8(x +9) = 5
Step-by-step explanation:
The words "the sum of a number and 9" mean "x+9" when x is used to represent the number. The "8 times the sum" is 8(x+9). When that "equals 5", then we have the equation ...
8(x +9) = 5
Calculate the circumference of a rug having a diameter of 8ft
Answer:
C= 25.13ft
Step-by-step explanation:
To find the circumference use the formula C=2 * PI * R
we know that the diameter is 8 which means that the radius is half that amount therefore R=4
Now plug those numbers into the formula
C=2(pi)(4)
= 8(pi)
=25.13
I’m taking my dog to get groomed in the morning
HELP PLS helppppppppppppppppppppppppp
Answer:
The number of text messages is 85 ⇒ B
Step-by-step explanation:
To solve this question
Assume that the number of the text message is x and the total cost is yMake a linear equation represented each plan, then equate their total cost (y) to find the number of the text message (x)The form of the linear equation is y = m x + b, where
m is the rateb is the initial valuePlan A:
∵ The fee per message is $0.10
∴ m = 0.10
∵ The monthly fee is $35
∴ b = 35
∴ The total cost y = 0.10 x + 35
Plan B:
∵ The fee per message is $0.30
∴ m = 0.30
∵ The monthly fee is $18
∴ b = 18
∴ The total cost y = 0.30 x + 18
∵ Both plans cost is the same for one month
→ Equate the right sides of the two equations
∴ 0.30 x + 18 = 0.10 x + 35
→ Subtract 0.10 x from both sides
∴ 0.30 x - 0.10 x + 18 = 0.10 x - 0.10 x + 35
∴ 0.20 x + 18 = 35
→ Subtract 18 from both sides
∴ 0.20 x + 18 - 18 = 35 - 18
∴ 0.20 x = 17
→ Divide both sides by 0.20
∴ [tex]\frac{0.20x}{0.20}=\frac{17}{0.20}[/tex]
∴ x = 85
∴ The number of text messages is 85
A boat is 2000m from a cliff. If the angle of depression from the top of the cliff to the boat is 10 degrees, how tall is the cliff.
Answer:
Let AB is the height of the cliff = H and p is the posit ion of the boat.Angle of depression= angle of elevation= 15 degrees therefore angle APB= 15 degrees tan 15=AB=h/1,000 h=(1,000)*tan 15=(1,000)(0.26794919243112)=268.94919243112 meters or
Simply: 268meters..........Ans
C
B
120
...
...
900
.
.60
140-
350
450400
180
Ray OB divides 2 COA into two angles of equal measure.
True
False
Consider a number line with 40, 60 and 80 marked.
The value 60 is the midpoint of 40 and 80 since (40+80)/2 = 120/2 = 60
If we curved the number line to fit along the round edge of the protractor, then we'll get the diagram you see here.
Ray OB cuts angle COA in two equal pieces (angle COB, angle BOA). This is another way of saying "ray OB bisects angle COA".
8/9 + 4/9 simplify answer and write as a mixed number
Answer: 1 1/3
Step-by-step explanation: Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
Hope this Helps :3
Step-by-step explanation:
Hey there!
Given;
[tex] = \frac{8}{9} + \frac{4}{9} [/tex]
Adding them.
[tex] = \frac{8 + 4}{9} [/tex]
[tex] = \frac{4}{3} [/tex]
Change into mixed number.
[tex] = 1 \frac{1}{3} [/tex]
Hope it helps....
After going trick-or-treating, Cheyan is trying to
figure out how many houses she visited. Cheyan knows
that she averaged 3 candies per house. After giving
her brother 14 pieces of candy, she has 34 pieces
left. How many houses did she visit?
Answer:
16
Step-by-step explanation:
All you have to do is add 14+34 which is 48. Since you know that she averaged 3 pieces of candy you have to divide 48 and 3 which is 16
Answer:
16...........................
Step-by-step explanation:
add total candies, divide by 3
HELP PLZ I DONT HAVE MUCH TIME!!! 38PTS IS ALL I HAVE PLS ANSWER CORRECTLY!!!
In Ms. Miller's English class, students are given five tests in a semester. At the end of the semester, the scores that a student has earned on the five tests are averaged to obtain that student's class average. So far, DeShawn has taken the first four tests, and his scores are 71%, 90%, 82%, and 77%. Which of the following is the range of all the class averages that DeShawn could possibly receive at the end of the semester?
Answer:
The range is 81
Step-by-step explanation:
Find the indicated conditional probability using the following two-way table
P(Take the bus|Junior)=[?]
round to the nearest hundredth.
Answer:
P(Take the bus|Junior)=0.57
Step-by-step explanation:
Conditional Probability
Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event B has occurred, then the probability that event A occurs is given by:
[tex]{\displaystyle P(A\mid B)={\frac {P(A\cap B)}{P(B)}}}[/tex]
Where [tex]P(A\cap B)[/tex] is the probability that both events occur and P(B) is the probability that B occurs.
The two-way table shows statistics of students and we are interested to find the probability that, given the student is a junior (let's call it event B), they also take the bus (Event A). Thus, the probability we need to calculate is:
[tex]\displaystyle P(A\mid B)={\frac {P(A\cap B)}{P(B)}}[/tex]
Checking on the table, we can see that both events occur when the row and the column of both events coincide, i.e. 20 students out of a total of 100 students in total. Thus:
[tex]\displaystyle P(A\cap B)=\frac {20}{100}=0.2[/tex]
The probability that a student is classified as Junior is
[tex]\displaystyle P(B)=\frac {35}{100}=0.35[/tex]
The conditional probability is:
[tex]\displaystyle P(A\mid B)=\frac {0.2}{0.35}=0.5714[/tex]
P(Take the bus|Junior)=0.57
when seventeen is reduced by two-thirds of a number, the result is 11
Answer:
9Step-by-step explanation:
Let the number be x, then:
17 - 2/3x = 112/3x = 17 - 112/3x = 62x = 6*32x = 18x = 18/2x = 9Determine the mode of the following data set:
21, 45, 44, 21, 40, 67, 93
Answer:
21 is the mode
Step-by-step explanation:
a mode is the number in a set that occurs the most and 21 is the number that appeared the most in this set
A shape is shown on the graph
Which of the following is a reflection of a shape?(50 points)
A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, 2 and 4, 2 and 2, 6.
Step-by-step explanation:
Write the converse of the following conditional: If it is raining, then the ground is wet.
If it is not raining, then the ground is not wet.
If it is not raining, then the ground is not wet.
It is raining if and only if the ground is wet.
It is raining if and only if the ground is wet.
If the ground is not wet, then it is not raining.
If the ground is not wet, then it is not raining.
If the ground is wet, then it is raining.
Answer:
it is raining if and only if the ground is wet
Step-by-step explanation:
Answer:
you are correct
Step-by-step explanation:
help pleaseeeeeeeeee
Answer:
3/-2
Step-by-step explanation:
All I did was put - 3/2 into my calculator and got the answer. I than found the answer for the rest of the fractions and only the first one equals to - 3/2.
A piece of pine is 6 feet long,1 foot wide,and and 5 foot thick and weighs 90 pounds,what is the volume? What is the density?
Answer:
volume = about 117.81 feet^3
density = 0.763942 lb/ft^3
Step-by-step explanation:
this is if the piece of pine is cylindrical
The dinner bill for four people came to $108.60. If they plan to leave a 20% tip and split the bill equally, how much will each person pay?
Answer:
32.15
Step-by-step explanation:
Answer:
$32.58 per person
Step-by-step explanation:
what is the slope of f(x)=12x-19
Answer: y=1/4+3
Step-by-step explanation:
1. The slope is 12
2. (6 - 2)/(12+4)= 4/16= 1/4
y - 2 = 1/4(x + 4)
y - 2 = 1/4x + 1
y = 1/4x + 3
PLEASE PLEASE PLEASE HELP. This is a geometry worksheet.
Answer:
where's the question?