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Explanation:
Cube values in the set {0,1,2,3,...} until we reach a result larger than 497
0^3 = 01^3 = 12^3 = 83^3 = 274^3 = 645^3 = 1256^3 = 2167^3 = 3438^3 = 512We stop here because 512 is larger than 497.
Or you could note that [tex]\sqrt[3]{497} = 497^{1/3} \approx 7.921[/tex] helping us see that we stop at 8.
The list of nonnegative perfect cubes less than 497 is {0,1,8,27,64,125,216,343}
There are 8 items in that set out of 498 items in the set {0,1,2,3,...,497}
So the probability of getting a perfect cube is 8/498 = 4/249
GIVING OUT BRAINLIEST
84= -3(3n-5)-3
Please I need help. Thnx
Answer:
this is 37
Step-by-step explanation:
because 9+9+2+2+11+4=37
Answer: 2x11=22 and 2x7=14 add them together 22+14=36 and 36 is your answer.
Step-by-step explanation:
Which expression is equal to “7 times the sum of a number and 4"?
Answer: 7 (x+4)
Step-by-step explanation: Since the expression asks for 7 times the sum of a number and 4, you would put x + 4 in parentheses since multiplying 7 comes afterwards.
Which unit would you use to measure the weight of a car
Answer:
kg
Step-by-step explanation:
What expression is equivalent to (3x^2-7)
144 out of 600 students took Business Mathematics. What percent of students did not take the course?
Pls help fast
Answer:
0.24 plssssssssss give brainliest
Step-by-step explanation:
144/600 = 0.24
The shorter leg of a right triangle is 7 ft shorter than the longer leg. The hypotenuse is 7 ft longer than the longer leg. Find the side lengths of the triangle.
Answer:
shorter leg = 21 ft
longer leg = 28 ft
hypotenuse = 35 ft
Step-by-step explanation:
Let's call the longer leg of the triangle "b", the shorter leg "a", and the hypotenuse "h"
Then we have the following two equations:
a = b - 7
h = b + 7
And we can use the Pythagorean theorem to relate all three sides of the triangle:
[tex]h^2=a^2+b^2\\(b+7)^2=(b-7)^2+b^2\\b^2+14b +49=b^2-14b+49+b^2\\0=b^2-28b\\0=b*(b-28)[/tex]
Therefore there are two possible solutions to this equation: b = 0 or b = 28 ft.
So we take the one that is different from zero (since we are looking for the side of a triangle) That is: b = 28 ft
Then hypotenuse = 28 + 7 = 35 ft
and the shorter leg = 28 - 7 = 21 ft
Solve for x:
x + 10 = 15
Answer:
x = 5
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
x+10=15
x=15-10
x=5
A student used his place value chart to show a number. After the teacher instructed him to divide his number by 100,the chart showed 28.003. What number was on the place value chart to begin with
Answer: When you divide by 100 you are essentially moving the decimal of the number two places to the left. In undoing this you would have to move the decimal of the number two places to the right.
28.003 would then turn into 2,800.3
Step-by-step explanation:
Unfortunately I cannot draw a chart on here but that is the best I can do.
What does 37.26 x 1,000 = ?
Answer:
37,260
Step-by-step explanation:
A high-profile consulting company chooses its new entry-level employees from a pool of recent college graduates using a five-step interview process. Unfortunately, there are usually more candidates who complete the interview process than the number of new positions that are available. As a result, cumulative GPA is used as a tie-breaker. GPAs for the successful interviewees are Normally distributed, with a mean of 3.3 and a standard deviation of 0.4. Out of the163 people who made it through the interview process, only 121 can be hired. What cut-off GPA should the company use
Answer:
3.04
Step-by-step explanation:
Mean = 3.34
Standard deviation= 0.4
n = 163
X ~ N(3.3, 0.4)
The cut off gpa = j
P(x>j) = 121/163
P(x<=j) = 42/163 = 0.26
O.26 represents the 26th percentile
We solve further by using Microsoft Excel. We use the function NORMINV on excel to get GPA
X =. NORMINV(0.26, 3.3, 0.4)
X = 3.04 approximately
We conclude that the required gpa is 3.04
A spelling test is given to 400 students in Madison country. Those who score in the top 5% will compete in the country spelling bee. How many students will be in the country spelling bee.
Answer:20
Step-by-step explanation:
Answer:
20 students
Step-by-step explanation:
20 students
We know that 5% of 100 is 5
And 5% of 200 is 10
5% of 300 is 15
So that must mean 5% of 400 is 20
Hopefully this solves your problem! Hope you have a good day!
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Answer:
What is your question?
Step-by-step explanation:
All you wrote was
..................
.
Is this relation a function? Justify your answer. URGENT PLEASE HELP BRAINLIEST!!!!!!!!
Answer:
A. No, because two points with the same x-value have different y-values.
Step-by-step explanation:
No, because it doesn't pass the Vertical Line Test:
A. No, because two points with the same x-value have different y-values.
No, The relation is not a function A. Because two points with the same x value have different y values.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
We know a relation is a function if it is one-to-one or many-to-one.
But a relation one to many implies one input corresponds to two different outputs is not a function.
From the graph the function two different outputs 4 and 6 correspond to the same input 7.
learn more about functions here :
https://brainly.com/question/12431044
#SPJ2
R is between Q and S. if RS = 44.6 and SQ = 68.4, find QR
Please help me solve this
Answer:
Value Grocery Mart has the better deal
Step-by-step explanation:
If Market City is selling their crackers for $1.75 a box, we could either multiply that by 3 since we know what 3 boxes of crackers cost for VGM or divide their 3 for 5 by 3 to see how much 1 box is, which is $1.67
Wet N' Dry camp provides water-based activities and ground sports activities for a
maximum of 80 campers. There should be a minimum of eight campers doing water-based activities and a minimum of five campers doing ground sports activities.
Part 1) Write a system of three inequalities hat describes this situation. Define your variables.
Part 2) Graph the system to show all possible out comes.
Part 3) Write one possible solution to the problem in sentence form.
Answer:
x+y≤80; x≥8; y≥5see attached for a graphTwenty campers are doing water-based activities and 40 campers are doing ground-based activities.Step-by-step explanation:
1. Let x and y represent the numbers of campers doing water- and ground-based activities, respectively.
x + y ≤ 80 . . . . . . a maximum of 80 campers can be accommodated
x ≥ 8 . . . . . . . . . . a minimum of 8 campers should be water-based
y ≥ 5 . . . . . . . . . . a minimum of 5 campers should be ground-based
__
2. See the attachment for a graph. Possible outcomes are shaded red. The boundary lines of the shaded area are included in the possible outcomes.
__
3. Twenty campers are doing water-based activities and 40 campers are doing ground-based activities.
How do you do this question with calculations please?
Step-by-step explanation:
P(win) = p = 0.52
P(lose) = 1 − p = 0.48
1. P(4 wins) = (0.52)⁴ = 0.073
2. P(1 loss) = 0.48
3. P(2 loss) = (0.48)² = 0.23
P(1 win, 3 loss) = ₄C₁ (0.52)¹ (0.48)³ = 0.23
Choose all angles that are congruent to ∠ 1 in the below figure.
Answer:
1,7,2, and 5
Step-by-step explanation:
They follow the same angle.
Evaluate the expression
7^2-3^2x4
Answer:
13
Step-by-step explanation:
Answer:
7^2=49
3^2=9
49-9*4
49-36=13
f(x) = x^2 + 1 What is f(f(x))?
Answer:if f(x) = x^2-1 then f(f(x)) = f(x)^2 - 1 which is: (x^2 -1)^2 -1 by developping this we get: (x^4 -2x^2 +1) -1 simplifying: x^4 - 2x^2. 540
Step-by-step explanation:
Frederick and Kate have 17 1/3 cups of flour. They want to make loaves of banana bread for bake sale. Frederick has a recipe that calls for 1 5/8 cups of flour. Kate has a recipe that calls for 1 3/4 cups of flour. Which of the following statements true? Will Fredericks recipe make 10 loaves?
Answer:
The statement: Will Fredericks recipe make 10 loaves? Is:
True.Step-by-step explanation:
First, you must add the cups of total flour to have a decimal or fractional value.
Total cups of flour: [tex]17+\frac{1}{3}=\frac{52}{3}[/tex]And the cups of flour in Frederick's recipe.
Cups of flour in Frederick's recipe: [tex]1+\frac{5}{8}= \frac{13}{8}[/tex]In the end, you must divide the total flour in the flour of Frederick's recipe to obtain the number of loaves.
Loaves with Frederick's recipe: [tex]\frac{52}{3} /\frac{13}{8}= \frac{32}{3}[/tex] or [tex]10.666667[/tex]How you can see, with Frederick's recipe, he can make 10 completed loaves, and there is a little flour left over.
really important please help #8
One week, Abigail earned $396.80 at her job when she worked for 16 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $148.80?
Answer:
6 hours
Step-by-step explanation:
Help asap ill award brainliest and everything plz!!!
A traveler covered 4/5 of his journey with bicycle and the rest of the distance on foot. If the whole journey was 160 km, how much distance did he cover on foot?
Answer:
128 km.
Stage 1: Find value of 4/5.
4/5 = 128 of 160 (128 km.)
Hope it helps!
Answer:
32 kmStep-by-step explanation:
given:
A traveler covered 4/5 of his journey with bicycle and the rest of the distance on foot. If the whole journey was 160 km,
find:
how much distance did he cover on foot?
solution:
total jorney = 160 km
4/5 (160) + (x) = 160
(x) = 160 - 128
x = 32
therefore, the distance travelled on foot is 32 km
A cable company charges $80 a month for service and $4 for each on-demand movie watched.
What is the graph of the equation for this scenario?
Yo ill give all my points just plzzz hellp like rn
Answer:
y= 4x + 80
Step-by-step explanation:
the variable that keeps adding up for example if you keep watching movies it'll add up is always the x
2x - 11 = -8x + 14
Simplify
Answer:
x = 2.5
Step-by-step explanation:
2x - 11 = -8x + 14
Add 8x to both sides
10x - 11 = 14
Add 11 to both sides
10x = 25
Divide both sides by 10
x = 2.5
Answer:
x=2.5 (hope this helps)
Step-by-step explanation:
2x-11=-8+14
+11 +11
_________
2x=-8x+25
+8x +8x
_________
10x=25
_ _
10 10
x=2.5
Dan has 18 chocolates. Lee has 14 chocolates. How many fewer
chocolates does Lee have?
Answer:
4 Fewer Chocolates
Step-by-step explanation:
18-14=4
Answer:
4
Step-by-step explanation:
Dan's Chocolates = x
Lee's Chocolates = y
x - y = ?
18 - 14 = 4
Lee has 4 few chocolates than Dan.
5.
An equation in one variable is shown below.
6 + 0.50x = 26
Which problem situation could represent the equation?
A. A carnival charges $6 to park, plus $0.50 per ride ticket. How many carnival
rides can a person ride at the carnival if they spent a total of $26 at the carnival?
B.
A person downloaded an app for their phone that cost $6, plus some songs
that cost $0.50 each. How much did the person pay for the app and songs if
they download 26 songs?
C.
A dog-walking service charges $6 for each hour walking, plus $0.50 for each
dog. How many hours could a dog be walked for $26?
D.
Sara earns $6.50 an hour babysitting. How long will Sara need to babysit in
order to earn $262
Answer:
c.
Step-by-step explanation:
Move the constant to the right side and the sign
0.5x=26-6
Calculate
0.5x=26-6=20 >>> 0.5x=20
divide both sides of by the equation 0.5
0.5x=20 >>> x=40
Which graph shows a. Set of ordered pairs that represent a function
Answer:
B
Step-by-step explanation:
