Answer:
y>7.5
line under inequality sign.
Step-by-step explanation:
4. Find the surface area of the space figure represented by the net.
A 75 cm
B 96 cm2
C 90 cm2
D 69 cm
Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars traveled at the same speed.
Car 1
350 miles
in 5 hours
Car 2
240 miles
in 4 hours
Car 3
320 miles
in 5 hours
Car 4
420 miles
in 6 hours
Answer:
Car 1 and Car 4
Step-by-step explanation:
Car 1-70mph
Car 2-60mph
Car 3-64mph
Car 4-70mph
So, its Car 1 and Car4
If cos A = 12/13 , and ∠A is in the fourth quadrant, find the exact value of sin2A.
Answer: 0.71
Step-by-step explanation:
we have that cos(A) = 12/13
then:
A = Acos(12/13) = 22.62°
But A is in the fourth quadrant, so A is actually 22.62° + 180° = 202.62°
Then Sin(2A) = sin(2*202.62°) = 0.71
What’s the answer to this???
Answer:
c
Step-by-step explanation:
If the linear model applies the function f(x) = 1.3x + 9.2, what is the predicted value and residual
when the tree is 3 years old with a height of 14?
A) Predicted value: 13.1
Residual: 0.9
B) Predicted value: 11.8 Residual: 0.2
C) Predicted value: 15.7 Residual: 1.3
D) Predicted value: 18.3 Residual: 0.7
Answer:
A) Predicted value: 13.1 Residual: 0.9
Step-by-step explanation:
By definition:
residual = observed - predicted
The linear model is:
f(x) = 1.3x + 9.2
where f(x) is the height and x is the age of the tree.
Replacing with x = 3:
f(x) = 1.3(3) + 9.2 = 13.1 ft
which is the predicted value. The observed value is 14 ft, then:
residual = 14 - 13.1 = 0.9 ft
Errol's bike ride from home to school can be modeled by the equation d(t) = -4t+2, where d(t) is
his distance from school, in miles, at t minutes. Errol's friend Daniel lives 4 miles away from school. It
takes Daniel twice as long to get to school if he bike rides at the same pace as Errol. What can be said
about the graph of the equation that models Daniel's bike rides?
Answer:
Option (2).It has a vertical translation by 2 units in the positive direction.
Step-by-step explanation:
Given question is not complete: find the complete question with attachment
Errol's bike ride can be modeled by the equation,
[tex]d(t)=-\frac{1}{4}t+2[/tex]
Slope of the given equation = [tex]-\frac{1}{4}[/tex] which shows the rate of change of distance from Errol's house
Y-intercept = 2, shows the distance of the school from Errol's house
Let the equation that represents the distance of Daniel's home from the school is,
y = mt + b
Since speed of Daniel is equal to the speed of Errol, slopes of both the equations will be same.
Since y-intercept 'b' represents the distance from his home, b = 4
Now the equation will be,
[tex]d(t)=-\frac{1}{4}t+4[/tex]
Therefore, the graph representing the Daniel's equation will have a vertical translation by 2 units in the positive direction.
100 points!
The following data shows the weight, in pounds, of 6 boxes:
5, 3, 3, 4, 5, 4
What is the value of the mean absolute deviation of the weight of the boxes, and what does it represent about the weight of a box?
A))1.2 pounds; on average, the weight of a box varies 1.2 pounds from the mean of 4 pounds
B))0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound
C)) 1.2 pounds; the weight of 50% of the boxes is greater than 1.2 pounds
D))0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds
Answer:
The answer is D. Let me know if you don't understand that.
Step-by-step explanation:
Hi!
To find the Mean Absolute Deviation (MAD) of the weight of the boxes, first find the mean.
5 + 3 + 3 + 4 + 5 + 4 = 24
24/6 = 4
Now find the absolute distance from the mean for each of the numbers by subtracting the mean from each of the numbers. It doesn't matter if it's negative.
5 - 4 = 1
3 - 4 = 1
3 - 4 = 1
4 - 4 = 0
5 - 4 = 1
4 - 4 = 0
Now find the mean of those numbers.
1 + 1 + 1 + 0 + 1 + 0 = 4
4/6 = 0.7
So now we know the answer is either B or D.
B. 0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound
D. 0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds
Hope this helps! :)
-Peredhel
The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds
Option D is the correct answer.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
To find the mean absolute deviation, we first need to find the mean weight of the boxes:
Mean = (5+3+3+4+5+4)/6 = 24/6 = 4 pounds
Next,
We calculate the absolute deviations from the mean for each weight:
So,
|5-4| = 1
|3-4| = 1
|3-4| = 1
|4-4| = 0
|5-4| = 1
|4-4| = 0
Then,
We find the mean of the absolute deviations:
(1+1+1+0+1+0)/6 = 4/6 = 0.67 = 0.7
This means that on average, the weight of a box varies by 0.7 pounds from the mean weight of 4 pounds.
Therefore,
The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds (rounded to one decimal place).
Learn more about mean here:
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y = 5x – 6
Identify the y-intercept of the
following equation.
Answer:-6
Step-by-step explanation:
Answer:
ez
Step-by-step explanation:
6 negative
A dance school offers 5 types of classes: jazz, tap, hip-hop, ballet, and lyrical. It conducts 950 classes over the course of a
year. If it conducts the same number of each type of class, how many jazz classes are given?
19
190
475
945
Answer:190
Step-by-step explanation:
If there are 950 classes over a year and 5 classes then there are 190 classes per class because 950/5=190
How many combinations of 6 students can a teacher choose from 30 students?
657,720
593,775
180
427,518,000
Answer: 593775
Step-by-step explanation: 30C6 =30x29x28x27x26x25 / 6x5x4x3x2x1 =593775
Apollo does 240 push-ups in 5 minutes. How many push-ups can Apollo do in 1 minute
Answer:
48
Step-by-step explanation:
240/5 = 48
Answer:
48 push ups in 1 minute
Step-by-step explanation:
We can use a ratio to solve
240 pushups
-----------------------
5 minutes
Divide each by 5
48 pushups
--------------------
1 minutes
-3x+1/2=3/8
Whats x? pls someone help step by step
Answer:
x = -1/24 = -0.042
Step-by-step explanation:
Step 1 : Simplify 3/8
Step 2 :
Rewriting the whole as an Equivalent Fraction
Step 3 :
Calculating the Least Common Multiple
Equation at the end of step 3 :
24x + 1
——————— = 0
8
Last step:
Solving a Single Variable Equation :
5.2 Solve : 24x+1 = 0
Subtract 1 from both sides of the equation :
24x = -1
Divide both sides of the equation by 24:
x = -1/24 = -0.042
Hope this helps.
PLEASEEEEEEEEEE HELP FAST... 50 POINTS
SOLVE FOR VOLUME
Answer:
Step-by-step explanation:
volume = height * are of the trapezoidal = 9 * (7+11)*4.5 / 2 = 364.5 m3
Answer:
364.5 m³
Step-by-step explanation:
Volume = base area × height
Base area: ½(7+11)×4.5
9×4.5
40.5 m²
Volume: 40.5 × 9
364.5 m³
What I want you to do is think of yourself as a tourist who just landed in Nebraska. You've decided to take a road trip across the northwestern US (as presented in the states shown on the map) and you want to cross each state border exactly once. So for example, you want to make sure that you cross the border between SD-ND, SD-NE, SD-WY, SD-MT. You don't just want to visit South Dakota, but you want to cross all of the borders as well... but only once! You can visit each state as many times as you wish, but you can only cross each border once. Can you think of a way to cross ALL of the state borders in the map exactly once, while ending back where you started in Nebraska?
Answer: up, left, down, right
Step-by-step explanation:
because
What is the volume of the cone to the nearest cubic millimeter? (Use π = 3.14)
A) 52 mm3
B) 157 mm3
C) 209 mm3
D) 628 mm3
Answer:
209
Step-by-step explanation:
The volume of the cone, to the nearest cubic millimeters is: C. 209 mm³.
What is a Cone's Volume?Volume of a cone = 1/3πr²h
Where, r = radius of the cone, and h = height of the cone.
Given:
π = 3.14Radius (r) = 5 mmHeight (h) = 8 mmThus:
Volume of a cone = 1/3(3.14)(5²)(8)
Volume of a cone = 209 mm³
Thus, the volume of the cone, to the nearest cubic millimeters is: C. 209 mm³.
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Another angle math problem. I just don’t get it ♀️ Help please.
Answer:
68°
Step-by-step explanation:
Complementary = 90 - 22
can someone help me with this I do not understand it?
Answer:
So, the first one is not proportional and therefore has no multiplier.
You are right on the second on both counts!
Step-by-step explanation:
You just need to divide the x's by the y's (individually) in order to determine what they are multiplied by. And the answers you get for the first one will be 5, 6, and 7. Because the numbers are different, they are not proportional.
Suppose you deposit $1500 in a savings account that pays interest at an annual rate of 6% if no money is added or withdrawn from the account answer the following questions how much will be in the account in four years how much will be in the account after 16 years how many years will it take for the account to contain $2000 How many years will it take for the account to contain $2500
Answer:
In 4 years = $1,893.72
In 16 years = $3,810.53
years to contain $2,000 = 4.9371454128
years to contain $2,500 = 8.766692911
Step-by-step explanation:
In 4 years
A = 1,500 (1 + 0.06)^4
= $1,893.72
In 16 years
A = 1,500 (1 + 0.06)^16
= $3, 810.53
to find number of years
t = ln (A/P) / ln (1+r)
when A = 2,000
t = ln(2,000/1,500) / ln(1+0.06)
= 4.9371454128 years
when A = 2,500
t = ln(2,500/1,500) / ln(1+0.06)
= 8.766692911 years
PS: You can also use log in place of ln
The number of years it will take for the account to contain $2000 is 4.94 years while it will take 8.77 years to contain $2500.
Calculation of future value and the number of years it takesLet:
PV = Present value = $1,500
r = Interest rate = 6%, or 0.06
n = number of years
FVn = Future value after a certain number of years
Therefore, we have:
The amount that will be in the account in four years can be calculated using the future value (FV) formula as follows:
FV4 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^4 = $1,893.72
Therefore, the amount that will be in the account in four years is $1,893.72.
The amount that will be in the account after 16 years can also be calculated using the future value (FV) formula as follows:
FV16 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^16 = $3,810.53
Therefore, the amount that will be in the account after 16 years is $3,810.53.
The number of years will it take for the account to contain $2000 can be calculated using the following formula:
n = (log(FV/PV)) / (log(1+r)) = (log($2,000/$1,500)) / (log(1+0.06)) = 0.1249387366083 / 0.0253058652647703 = 4.94 years
Therefore, the number of years it will take for the account to contain $2000 is 4.94 years.
The number of years it will take for the account to contain $2500 can be calculated using the following formula:
n = (log(FV/PV)) / (log(1+r)) = (log($2,500/$1,500)) / (log(1+0.06)) = 0.221848749616356 / 0.0253058652647703 = 8.77 years
Therefore, the number of years it will take for the account to contain $2000 is 8.77 years.
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Please tell me the answer quick
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
Ann wants to buy a coffee machine. She knows, that during the holidays, the probability of a discount of more than 10% is 0.87, on weekends, the probability of a discount of more than 10% is 0.38, and on a regular weekday, it is 0.17. On average there are 15 holidays per year, 100 weekends (holiday weekends are excluded) and 250 weekdays. Find the probability of a discount of more than 10% for the randomly chosen day. Find the probability that it was a weekend if it is given that she bought a machine with a discount of more than 10%.
Answer:
Let's denote:
P(discount on 15 holidays) = P(A) = 0.87
P(discount on 100 weekends) = P(B) = 0.38
P(discount on 250 weekdays) = P(C) = 0.17
=> The probability of a discount of more than 10% for the randomly chosen day: P = P(A) x 15/360 + P(B) x 100/360 + P(C) x 250/360
= 0.87 x 15/360 + 0.38 x 100/360 + 0.17 x 250/360
= 0.26
Given she bought a machine with a discount of more than 10%, the probability that it was a weekend would be:
P = 100/(100 + 250 + 15) = 0.27
Hope this helps!
:)
Answer:
1. 0.256
2. 0.406
Step-by-step explanation:
Total days:
15 + 100 + 250 = 365
P(more than 10% discount)
= (0.87×15/365) + (0.38×100/365) +(0.18×250/365)
= 1871/7300
0.2563013699
P(weekend/more than 10% discount)
= (0.38×100/365) ÷ (1871/7300)
= 760/1871
0.4061998931
Find the radius of a cylinder with volume
351.9 cubic cm and height 7 cm.
Answer:
4
Step-by-step explanation:
Answer:
4 cm
Step-by-step explanation:
Volume of cylinder = [tex]\pi[/tex]r²h
Radius = [tex]\sqrt{\frac{V}{\pi h} }[/tex]
Radius = [tex]\sqrt{\frac{351.9}{\pi 7} }[/tex]
Radius = [tex]\sqrt{\frac{351.9}{21.98} }[/tex]
Radius ≈ [tex]\sqrt{16}[/tex]
Radius ≈ 4
So, the radius is about 4 cm.
What is the volume of the following rectangular prism?
Answer:
529 units squared
Step-by-step explanation:
Vito is a pitcher on his baseball team. This season he has allowed an average of 0.8 hits per inning pitched. If Vito pitcher 160 innings this season how many hits did he allow?
Answer:
200
Step-by-step explanation:
.8x = 160
Find the interquartile range (IQR) of the data in the box plot below.
PLZ ASAP PLZ ASAP
Answer:
3
Step-by-step explanation:
To find the IQR, use this formula:
Quartile 3 – Quartile 1
this will get you the IQR of a box and whisker plot :)
(pls mark brainliest)
Solve the system of linear equations by adding or subtracting.
3x + 7y = −17
4x − 7y = 10
Enter your answer as an ordered pair.
Answer:
3x + 7y = −17
4x − 7y = 10
Add up both sides of 2 equations, then
7x = -7
=> x = 1
=> y =(3 x 1 - 17)/7 = -14/7 = -2
Hope this helps!
:)
Ami and Bert are drawing plans for rectangular vegetable gardens. In Ami's plan, the garden is 16 feet by 13 feet. In Bert's plan, the garden is 18 feet by 18 feet.
Select all true statement(s).
A The area of Bert’s garden is 116 square feet greater than Ami’s.
B The area of Ami’s garden is 208 square feet.
C The area of Bert’s garden is 72 square feet.
D Ami’s garden has a greater area than Bert’s garden.
Answer:
A and B
16 times 13=208
18 times 18=324
Subtract those and you get 116
Answer:
A and B
Step-by-step explanation:
A.) Area of Bert's garden : 324 - Area of Ami's garden 208= 116
B.) Ami's garden is 208 feet if you do 16 x 13
Mark mine as branliest please!
AC =
Round your answer to the nearest hundredth.
40°
pls help will mark as brainliest
Answer:
C F
Step-by-step explanation:
Answer:
2/10 is equivalent to 1:5
6:30 is equivalent to 1:5
8 to 40 is equivalent to 1:5
Step-by-step explanation:
Which type of graph would you use to show the number of pages in each book on the bookshelf?
Answer:
stem and leaf plot
Step-by-step explanation:
:) trust
i need help ASAP. you need to be good at fractions.
fill in the missing numbers:
2/3 = _/6 = 12/_ = _/21
[tex]\frac{2}{3}[/tex]
[tex]\frac{4}{6}[/tex]
[tex]\frac{12}{18}[/tex]
[tex]\frac{14}{21}[/tex]
I hope this helps :)
Answer:
2/3= 4/6= 12/18= 14/21
Step-by-step explanation:
2/3= __/6
you know that that denominator doubles because 3*2=6, so what you do to the denominator you have to do to the numerator and vice versa. 2*2= 4 so the answer would be 4/6
To find 12/__
You should know that everything is equal to 2/3 in this equation. To get from 2 to 12 you need to multiply by 6. what you do to the top you have to do to the bottom. 3*6=18
_/21
You times 2/3 by 7 because 3*7=21.
2*7=14