Answer:
Mode = 86Median = 86Mean = 86Range = 15Step-by-step explanation:
Hope this helps! <3
Mark is driving at a speed of 72 mph. How many hours does it take him to drive 468 miles? Express your answer as a number to the nearest tenth.
Answer:
It would take him 6.5 hours, but rounded it would take 7 hours I think.
Step-by-step explanation:
The total cost of a plane ride, C, is given below as a function of the time flown, m, in minutes.
C = $33.00 + $1.20m
If a customer spends $267.00 on a plane ride, how many minutes does the ride last?
A. 250
B. 195
C. 223
D. 325
The number of minutes is 195 minutes when the customer spends $267.00. The correct option is B.
How to calculate the time?From the information, the total cost of a plane ride, C, is given as a function
C = $33.00 + $1.20m
where n = number of minute
Since the customer spends $267.00 on a plane ride, this will be:
C = = 33.00 + $1.20m
33 + 1.2m = 267
Collect like terms
1.2m = 267 - 33
1.2m = 234
Divide
m = 234 / 1.2
m = 195
Minutes used is 195 minutes
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i need help with this
Check step-by-step explanation.
Step-by-step explanation:1. Form a table for the given equation.In order to form the table, we must take several values of x (any values you want to evaluate) and find it's correspondent y value. This is how you do it:
\(y=3x+12\)
\(x=0, \\y=3(0)+12\\y=12\)
As you may notice, we are just substituting the x value for the x variable into the equation and calculating y. Do this with several values and form a table (check attached image 1).
\(x=1, \\y=3(1)+12\\y=15\)
\(x=2, \\y=3(2)+12\\y=18\)
2. Draw the points.Using the calculated points, draw them in the cartesian plane. Remember that "x" means how many spaces you move horizontally, and "y" means vertical spaces.
Check attached image 2.
3. Interpret the information.Let's take point (2, 18) as an example. This point is generated when you substitute the x value of 2, meaning 2 hotdogs and the souvenir hat. Then, the functions gives a result of 18, which would be the cost of those 2 hotdogs in addition to the souvenir hat. Point (0, 12), on the other hand, means that you didn't buy any hotdogs but you still have to pay $12 for the souvenir hat.
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
whats the length of RS,UW,UVwhat is the value of x and y
In the given triangle,
it is given that,
U is the midpoint of RS, V is the midpoint of ST and W is the midpoint of RT
so,
UR = US
VT = VS
WT = WR
put the values,
UR = US
12 = US
so, RS = 2 x UR = 2 x 12 = 24
VT = VS
11 = 2x
x = 11/2
x = 5.5
so, TS = 2 x 11 = 22
WT = WR
3y = 15.9
y = 15.9/3
y = 5.3
so, RT = 2 x 15.9 = 31.8
also, UV = 1/2 RT
UV = 1/2 x 31.8 = 15.9
UW = 1/2x TS
UW = 1/2 x 22 = 11
VW = 1/2 RS
VW = 1/2 x 24 = 12
What is Set-builder and give example
It is just a way of describing a set.
You put the set in braces (sometimes called curly brackets), {}, which is a typical way to show that you are talking about sets.
Here are a few examples:
{x| x > 0} This is read: The set of all x such that x is greater than 0.
Reading it character by character:
{ — shows you that we are talking about a set, and it sort of opens up, or starts the set
x — tells you that we are talking about a set of elements x
| (and a : is also used sometimes) — such that (this is just notation). This says that you are about to be given to rule to see what “rule” or characteristic the x’s will have.
x > 0 — This just says what characteristics x must have to be in this set. So 7, 1/2, .3 and pi are all in this set, while -1, 0, -radical(2) are not.
So this example is just how you would use set builder notation to talk about the set “the positive real numbers”
So why use it? Because it can describe more complicated sets much more succinctly.
2. {3n + 1 | n is an element of the natural numbers} (and this could be written more succinctly if I used certain symbols) would be the set {4, 7, 10, 13, …}
3. {n^2 + n + 1 | n is an element of the natural numbers} would be the set {3, 7, 13, 21, …} and notice here, if you didn’t see the set builder notation, you might have trouble knowing what the next term in the set was.
If (k,6k) and (3k,10k) are two points on the graph of a line and K is not equal to 0, what is the slope of the line?
Answer:
Step-by-step explanation:
slope = y2-y1/x2-x1
Given the coordinates (k,6k) and (3k,10k)
x1 = k
y1 = 6k
x2 = 3k
y2 = 10k
Substitute
slope = 10k-6k/3k-k
slopw = 4k/2k
slope = 4/2
slope = 2
Hence the slope of the line is 2
A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
OA. A pair of parallel lines
B. A single line
OC. A point
OD. A pair of intersecting lines
Answer:
D. A pair of intersecting lines
Step-by-step explanation:
A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.
I hope this helps you ace your math question.
Solve for N. 5/3 = N/12
Answer:
N = 20
Step-by-step explanation:
5/3 = 1 2/3
20/12 = 1 8/20
They are equivalent
Sharon has a new beaded necklace. 72 out of the 80 beads on the necklace are blue. What
percentage of beads on Sharon's necklace are blue?
Write your answer using a percent sign (%).
Answer:
90%
Step-by-step explanation:
Step 1:
72/80 = x /100 Proportion
Step 2:
80x = 7200 Multiply
Step 3:
x = 7200 ÷ 80 Divide
Answer:
90%
Hope This Helps :)
Answer:
Sharon bought a necklace with 90% blue beads.
Step-by-step explanation:
We are given that Sharon's necklace has 80 beads. We are also given that of those 80 beads, 72 of them are blue.
Therefore, we can set up a ratio of blue beads to total beads in order to find out the relationship.
\(\displaystyle \frac{72}{80}=\frac{36}{40}=\frac{18}{20}=\frac{9}{10}\)
Then, using the fraction we receive as a result, we can convert this to a decimal.
\(\displaystyle \frac{9}{10} = 0.9\)
After we complete this calculation, we can multiply our decimal by 100 in order to obtain the relationship in percentage form.
\(0.9 \times 100 = 90\%\)
Of the 80 beads, 90% were blue beads.
(m-n)(x)
(p-m)(x) (n - m)(0)
(p+m)(6)
Answer:
The answer is 0
helpppp...........................
Answer:
see explanation
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
a hexagon has 6 sides , then
sum = 180° × (6 - 2) = 180° × 4 = 720°
12
the polygon has 5 sides , so
sum = 180° × (5 - 2) = 180° × 3 = 540°
sum the interior angles and equate to 540
y + 90 + 120 + 90 + 110 = 540
y + 410 = 540 ( subtract 410 from both sides )
y = 130
13
the polygon has 7 sides , so
sum = 180° × (7 - 2) = 180° × 5 = 900°
sum the interior angles and equate to 900
p + 90 + 141 + 130 + 136 + 123 + 140 = 900
p + 760 = 900 ( subtract 760 from both sides )
p = 140
Marissa decides to save AND invest for retirement. She makes an initial deposit of $2000 in her savings account which earns 1.5% annually. Her contributions are $150 a month. Then, she makes an initial deposit of $1,000 in the US stock market through an index fund contributing $300 a month with a 6.8% return annually. What is the balance of Marissa’s retirement account after 30 years?
Using compound interest formula, her balance after retirement is $430797.77
What is Marissa's BalanceTo calculate the balance of Marissa's retirement account after 30 years, we need to determine how much her savings account and index fund will be worth after 30 years, taking into account the interest earned and her monthly contributions.
First, we'll calculate the balance of her savings account:
Initial deposit: $2000
Interest rate: 1.5%
Monthly contribution: $150
Number of months: 30 years * 12 months/year = 360 months
Using the compound interest formula, the balance of her savings account after 30 years will be:
2000*(1+0.015/12)^360 + 150*(((1+0.015/12)^360-1)/(0.015/12))
A = $71280.33
Next, we'll calculate the balance of her index fund:
Initial deposit: $1000
Interest rate: 6.8%
Monthly contribution: $300
Number of months: 30 years * 12 months/year = 360 months
Using the compound interest formula, the balance of her index fund after 30 years will be:
A = 1000*(1+0.068/12)^360 + 300*(((1+0.068/12)^360-1)/(0.068/12))
A = $359517.44
Then we can add the balance of both the savings account and the stock market to get the total balance of Marissa's retirement account.
Her balance = $71280.33 + $359517.44 = $430797.77
Please note that the above answer is an estimation, in reality there are other factors such as taxes, inflation, fees, and market conditions that should be considered in a real-world scenario.
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The amounts spent by 5 students on back to school supplies are $28.50, $25.75, $23.60, $30.20, and $25.00. Jenny spends $41.13 for her supplies. If the amount Jenny spends is included in the data, how will the mean be affected?
A) The mean decreases by $3.55
B) The mean increases by $2.42.
C) The mean increases by $2.54.
D) The mean increases by $1.55.
Question 3
0.5 pts
Jim wants to buy a computer. The total cost is $947. If he can save $60 a month, how
long will it take for him to save up for the computer? Round UP to the next whole
number of months!!
Question 4
1 pts
Justin wants to borrow $18,091 to buy a used car. He examined his budget and
decided that he can afford a payment of $400 per month. If his bank offers him an
SHA
Diagonals of parallelograms
Solve for x
Diagonals bisect each other
\(\\ \bull\tt\longmapsto 2x+10=3x\)
\(\\ \bull\tt\longmapsto 3x-2x=10\)
\(\\ \bull\tt\longmapsto x=10\)
Option B
Answer:
Answer: 10
Assuming the parallelogram is general and congruent:
\(2x + 10 = 3x \\ 3x - 2x = 10 \\ x = 10\)
Graph the function. Then state the domain and range. f(x) = 1/4x-2
The domain and the range of the function f(x) = 1/4x - 2 is the all set of real values
What is the domain of a function?The domain of the function is the set of input values of the graph
What is the range of a function?The range of a function is the set of output values of the graph.
This in other words mean the range of a function is the set of y values of the graph.
How to determine the domain and the range?The function is given as
f(x) = 1/4x - 2
Next, we plot the graph of the function (see attachment)
From the graph, we can see that the graph is a linear graph
This means that the function has a domain and a range of all set of real values
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Given the equation, proof it
Answer:
Step-by-step explanation:
I forgot to add the last reason is AAS (two angles one side are congruent = triangles are congruent)
S.
1.Given
2. AE = EC
3. <AEB = <CED
4. <CDE = <ABE
5. triangles congruent
R.
1. Given
2. Segment bisector theorem
3. Vertical angles theorem
4. PAI Theorem
Hope this helps!
What is the value of m?
42.78/m=93
Answer:
m=0.46
Step-by-step explanation:
Answer:
m=42.78÷93
m=0.46
Step-by-step explanation:
please mark me as brainlest
I can’t solve plz help me ...
Your answer is in the attachment.
Simplify: (x2+6x+8) + (-4x2+11x-9)
Answer:
-3x^2+17x-1
Step-by-step explanation:
Suppose that survey is planned to estimate the proportion of population that is left-handed The sample data will be used to form confidence interval: Which one of the following combinations of sample size and confidence leve will give the widest interval? n E 500, confidence level 909 n = 1,000, confidence level 909 n = 500, confidence level 959 n = 1,000, confidence level 959 Explain why this sample size and confidence level will give the widest interval: The Select-- sample size and Select- confidence level will both tend to increase the width of the confidence interval:
The 500 sample size and 95% confidence level will both tend to increase the width of the confidence interval.
In this question, we have been given the combinations of sample size and confidence level.
We need to select a combinations of sample size and confidence level that will give the widest interval.
We know that the confidence level is typically set in the range of 99% to 80%. The 95% confidence interval will be wider than the 90% interval and which will be wider than the 80% interval.
As we know increasing the confidence will increase the margin of error which results in a wider interval.
But increasing the sample size decreases the width of confidence intervals, as it decreases the standard error.
This means, for the widest interval we need to select a high confidence interval and small sample size.
Therefore, the sample size = 500 and the confidence interval = 95% will give the widest interval.
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Marty counted how many breathes he took in 3 minutes .In that time he took 51 breaths.He took the same number of breathes each minute.How many breaths does it take in one minute
Answer:
17 breathes per min
Step-by-step explanation:
51 / 3 is 17
hope this helps
Evaluate a³ - b + 7, if a = 3 and b
=4
⇒Plug in the given values of the variables in order and then simplify the expression
Given that a= 3 and b=4
⇒\(=(3)^{3} -(4)+7\\=27-4+7\\=23+7\\=30\)
⇒The expression evaluated at the given known variables gives 30.
sin( 3pi/4 ) =
O A. 1/2
OB. -√2/2
O C. √3/2
O D. √2/2
Answer:
D
Step-by-step explanation:
sin ( 3pi / 4 )
= sin ( pi - pi / 4 )
= sin ( pi / 4 )
= 1/root(2)
= root(2) / 2
Y’all should Frl help me
Answer:
Step-by-step explanation:
Plug in 6 for x for g(x) and f(x)
f(6) = 2(6)⁵ = 15,552
g(6) = 10 x 4⁶ = 40,960
15,552 < 40,960
f(6) < g(6)
A store spends $10 for each pair of Brand X jeans and adds a 120% markup to the cost. What is the selling price of the jeans? (circle one)
Answer:
12
Step-by-step explanation:
120 divided by 100 =1.2 x 10
Based on a poll, among adults who regret getting tattoos, 27% say that they were too young when they got their tattoos. Assume that five adults who regret getting tattoos are randomly selected, and find the indicated probability. a. Find the probability that none of the selected adults say that they were too young to get tattoos.
Answer:
0.2073 = 20.73% probability that none of the selected adults say that they were too young to get tattoos.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they say they were too young to get tattoos, or they do not say it. The probability of an adult saying this is independent of any other adult, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
27% say that they were too young when they got their tattoos.
This means that \(p = 0.27\)
Assume that five adults who regret getting tattoos are randomly selected
This means that \(n = 5\)
a. Find the probability that none of the selected adults say that they were too young to get tattoos.
This is \(P(X = 0)\). So
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{5,0}.(0.27)^{0}.(0.73)^{5} = 0.2073\)
0.2073 = 20.73% probability that none of the selected adults say that they were too young to get tattoos.
Which one of the following pairs of numbers contains like fractions?
A. 1/2 and 3/2
B. 4/8 and 12/16
C. 6/7 and 60/70
D. 5/4 and 4/5
Answer:
Option (A)
Step-by-step explanation:
Like fractions possess a shared denominator while not necessarily having identical numerical values. To determine which pair of numbers contains like fractions, we need to analyze each pair of fractions and see if they have the same denominator. Let's examine each pair:
Option (A) 1/2 and 3/2:
These fractions are like fractions because their denominators are the same value.
Option (B) 4/8 and 12/16:
These fractions are not like fractions because their denominators are not the same value.
Option (C) 6/7 and 60/70:
These fractions are not like fractions because their denominators are not the same value.
Option (D) 5/4 and 4/5:
These fractions are not like fractions because their denominators are not the same value.
The pair of numbers that contains like fractions is A. 1/2 and 3/2.
Real-life Problems Question 10
Answer :
a) It is given that
Everyday a machine makes 500000 staples and puts them into the boxes.
The machine need 170 staples to fill a box
One box contans = 170 staples.
Total number of staples = 500000
Number of box required to fill 500000 staples = Total number of staples/No. of staples 1 box contains.
\( \: :\implies \) 500000 /170
\( :\implies \: \) 2941 (approx)
Therefore, 2941 boxes are required to fill with 500000 staples.
b) It is given that,
Each staple is made of 0.21 g of metal .
Total weight of metal = 1 kg = 1000 g
1 staple = 0.21 g
Number of staples = weight of metal/ Weight of 1 staple.
\( \: :\implies \) 1000/0.21
\( \: :\implies \) 4761 (approximately)
Therefore, 4761 staples can be made from 1 kg of the metal.