Answer:
25
Step-by-step explanation:
x^2 – 10x = 7
Take the coefficient of x
-10
Divide by 2
-10/2 = 5
Square it
5^2 = 25
Add this to both sides
x^2 – 10x+25 = 7+25
Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probability distribution with a mean of $387.20 and a standard deviation of $68.50. What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?
Answer:
52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 387.20, \sigma = 68.50[/tex]
What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?
This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So
X = 425
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{425 - 387.20}{68.50}[/tex]
[tex]Z = 0.55[/tex]
[tex]Z = 0.55[/tex] has a pvalue of 0.7088
X = 325
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{325 - 387.20}{68.50}[/tex]
[tex]Z = -0.91[/tex]
[tex]Z = -0.91[/tex] has a pvalue of 0.1814
0.7088 - 0.1814 = 0.5274
52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425
An mp3 player is on sale for 30% off the regular price of $39.98. How much is the discount?
Answer:
$27.98
Step-by-step explanation:
100 - 30 in price %=70%
Price will be 70% of original regular price
$39.98 * .7 = answer
Answer:
Discount is $11.99
Total is now $27.99
Step-by-step explanation:
To find the discount, you find out what 30% is of 39.98, so you multiply
39.98 x 30%(or .3) = 11.994
39.98- 11.99= 27.99
Solve for y:
9y = 81
Answer:
y=9
Step-by-step explanation:
9y=81
divide 9 on both sides
y=9
Solve.
A European swallow flies about 12 meters in 1 second.
How many kilometers could it fly in 15 minutes?
It could fly |
Answer:
It could fly 10,8 kilometers.
Step-by-step explanation:
The European swallow fly speed is 12 meters per second.
We have to calculate how many kilometers it could fly in 15 minutes.
This can be calculated using the equivalent factors for each of the units:
- 1 km is equivalent to 1,000 meters.
- 1 minute is equivalent to 60 seconds.
We know that the distance travelled by the fly is the product of the speed and the time, so we have:
[tex]D=v\cdot t\\\\\\D=12\,\dfrac{m}{s}\cdot15\, min\\\\\\D=12\,\dfrac{m}{s}\cdot(\dfrac{1\,km}{1,000\,m})\cdot15\, min\cdot (\dfrac{60\,s}{1\,min})\\\\\\D=\dfrac{12\cdot 15\cdot 60}{1,000}\,km=\dfrac{10,800}{1,000}\,km\\\\\\D=10,8 \,km[/tex]
What is the formula for slope-intercept form?
Answer:
y = mx+b
Step-by-step explanation:
The slope intercept formula for a line is
y = mx+b where m is the slope and b is the y intercept
The formula for slope-intercept form is attached below.
I have drawn this on my whiteboard.
In this equation, the m represents slope
and the b represents the y-intercept.
Multiply the fraction by the whole number. Find the answer as a proper fraction or mixed number in simplest terms. *
3 x 4/5: options
*2 3/5
*1 2/5
*2 1/5
*2 2/5
Answer:
2[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Whole numbers can be seen as the number over 1. So, 3 can also be written as [tex]\frac{3}{1}[/tex]. To do [tex]\frac{3}{1}[/tex] x [tex]\frac{4}{5}[/tex] you just multiply across (3x4 and 1x5). Doing so gets you [tex]\frac{12}{5}[/tex]. Since 12 is bigger than 5, you need to find out how many times 5 fits into 12, which is 2 times. This means 2 is the whole number, however you're still left with 2 from the fraction [tex]\frac{12}{5}[/tex], since 2x5 is just 10. You write the remaining 2 as [tex]\frac{2}{5}[/tex], because that's what the original denominator was. The final answer is 2[tex]\frac{2}{5}[/tex].
An international company has 27,8000 employees in one country. If this represents 32.7% of the company's employees, how many employees does it have in total?
Answer:
850152.29052
Step-by-step explanation:
278000 rep 32.7%
278000=32.7%, 100% is the total
100%×278000= 278000000÷32.7=850,152.29052
You have a bowl with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. What is the probability that you will
choose an orange candy out of the bowl?
Plz help ..............!!!!!
Answer:
1.8
is the median
Answer: 1.8
Step-by-step explanation: 1.8 is the median
how many square feet of of outdoor carpet will we need for this hole?
Answer:
To convert the feet to square feet we have to multiply the length by the width. In which, we should get the answer as well.
Our length is 2ft, since it's a rectangle the other side is 2ft as well.
The width is 3ft, and the other half is 3ft.
So, basically to get the area of the hole, it'd be 3*2=
Which, it's 6sq ft.
Step-by-step explanation:The actual answer is 36. If I am wrong i am sorry ;3
volume ....................
Answer:
360 cm^2
Step-by-step explanation:
length x width x height
6 x 6 x 10
Answer:
360cm^3
Step-by-step explanation:
V=L*W*H
V=6*6*10
V=36*10
V=360
Round 0.782 with 7 being the underlined digit
Ameeta finished 12 math problems. David finished 3 times as many. How many more math problems did David finish than Ameeta?
Answer:
24
Step-by-step explanation:
Ameeta = 12 math problems.
David =12×3=36 math problems
So 36-12=24
Answer:
12
David's
3 times longer
comparison problem
Step-by-step explanation:
got right on edge
(7.8×10^-5)-(4.5×10^-5)
Answer:
0.000033
Step-by-step explanation:
(7.8×10^-5)-(4.5×10^-5)=
(7.8×0.00001)-(4.5×0.00001)=
0.000078-0.000045=
0.000033
Answer:
0.000033
Step-by-step explanation:
your welcome :)
The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes; mean = 114.15): 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118. What is the range?
Answer:
The range will be 103 because 148-45 = 103
John and Ellen bought a big pizza. Ellen are 2/4 of the pizza and John ate 1/3 of pizza. How much did they eat all together? How much was left over? ( hint 12 is the lowest common denominator)
(I put 1/4 but it said it was wrong:/) pls help h
Answer:
Pizza eaten together: 5/6,
Pizza left over: 1/6
Step-by-step explanation:
~ If Ellen ate 2/4th of the pizza and John ate 1/3 of the pizza, provided that the pizza counts as a whole ( 1 )... ~
1. Let us simplify 2/4th to be ⇒ 1/2, through simple algebra
2. To see how much they ate together we would neglect that the pizza counts as a whole but simply add 1/2 by 1/3rd.
3. Through simple algebra: 1/2 + 1/3 = 3/6 + 2/6 = Pizza eaten together: 5/6
4. Now to find out how much pizza was left over, we would need the fact that a pizza ⇒ 1 whole. It would be that 1 - 1/2 - 1/3 ⇒ Pizza left over, through the Partition Postulate. In fact, the pizza left over would simply be 1 whole - the pizza eaten together ( 5/6 ).
5. Through algebra: 1 - 1/2 - 1/3 = 1 - 5/6 = Pizza left over: 1/6
Answer:
How much did they eat all together? 5/6
How much was left over? 1/6
[tex] \\ [/tex]
Step-by-step explanation:
How much did they eat all together?
[tex] \frac{2}{4} + \frac{1}{3} \\ = \frac{6}{12} + \frac{4}{12} \\ = \frac{10}{12} \\ = \frac{5}{6} [/tex]
[tex] \\ [/tex]
How much was left over?
[tex] 1 - \frac{5}{6} \\ = \frac{6}{6} - \frac{5}{6} \\ = \frac{1}{6} [/tex]
hurry plz im timed. i have 20 minutes left
Which shows how the distributive property can be used to evaluate 7 times 8 and four-fifths?
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
56 times StartFraction 28 over 5 EndFraction = StartFraction 1568 over 5 EndFraction = 313 and three-fifths
15 + (StartFraction 35 over 5 EndFraction + four-fifths) = 15 + StartFraction 39 over 5 EndFraction = StartFraction 75 over 5 EndFraction + StartFraction 39 over 5 EndFraction = StartFraction 114 over 5 EndFraction = 22 and four-fifths
15 times (StartFraction 35 over 5 EndFraction + four-fifths) = 15 times StartFraction 39 over 5 EndFraction = StartFraction 15 over 1 EndFraction times StartFraction 39 over 5 EndFraction = StartFraction 585 over 5 EndFraction = 117
Answer:
First one:
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
Step-by-step explanation:
7 × 8⅘
7(8) + 7(4/5)
56 + 28/5
56 + 5 + 3/5
61 3/5
Answer:
its A
Step-by-step explanation:
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
and pls mark me as brainliest if this is correct! :D
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY
Step-by-step explanation:
D.12
A.26
........................
Answer:
D and A
Step-by-step explanation:
D= 132
A is larger than 132
Marcus has a life insurance policy that will pay his family $35,000 per year if
he dies. If interest rates are at 2.5% when the insurance company has to pay,
what is the amount of the lump sum that the insurance company must put
into a bank account?
O
A. $1 million
O
B. $350,000
O
C. $1.4 million
O
D. $3.5 million
The correct answer is $1.4 million
The insurance company must put $1.4 million into a bank account.
What is insurance?Insurance is a way to manage your risk. When you buy insurance, you purchase protection against unexpected financial losses. The insurance company pays you or someone you choose if something bad happens to you.
Given that, Marcus has a life insurance policy that will pay his family $35,000 per year if he dies. the interest rates are at 2.5%, we need to find the amount of the lump sum that the insurance company must put into a bank account,
Considering that the interest is Simple interest,
So, SI = PRT / 100
Here, the interest is 35000, P we need to find, r = 2.5 and T = 1
35000 = 2.5P/100
3500000 = 2.5P
P = 1400000
P = 1.4 millions
Hence, the insurance company must put $1.4 million into a bank account.
Learn more insurance click;
https://brainly.com/question/27822778
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The net of a rectangular prism and its dimensions are shown in the diagram.
7.5 in.
7.5 in.
3 in.
3 in.
11.5 in.
11.5 in.
What is the total surface area of the rectangular prism in square inches?
A 143.25 in.2
B 241.5 in.?
C 258.75 in
D 286.5 in.?
Answer:
D.
Step-by-step explanation:
Given: Dimensions of a rectangular prism are [tex]7.5\,\,inches,3\,\,inches\,,\,11.5\,\,inches[/tex]
To find: total surface area of the rectangular prism in square inches
Solution:
Length of the rectangular prism (l) = 7.5 inches
Breadth of the rectangular prism (b) = 3 inches
Height of the rectangular prism (h) = 11.5 inches
Total surface area of the rectangular prism = 2(lb+bh+hl)
= [tex]2(7.5\times3+3\times11.5+11.5\times7.5 )[/tex]
[tex]2(7.5\times3+3\times11.5+11.5\times7.5 )=2(22.5+34.5+86.25)\\=2(143.25)\\=286.5\,\,square \,\,inches[/tex]
So, option D is correct
Answer:
D! I got it correcttt
Step-by-step explanation:
Suppose a pyramid’s dimensions are tripled. What is the ratio of this new, larger pyramid’s volume to that of the original pyramid?
The new volume is one third the original volume.
The new volume is triple the original volume.
The new volume is 9 times the original volume.
The new volume is 27 times the original volume.
Answer:
The answer is D
Step-by-step explanation
I took the quiz on ed.
Answer:
the answer is d: the new volume is 27 time the original volume.
Step-by-step explanation:
How many possible outcomes are there when spinning a spinner numbered from 1 to 8 and tossing a coin?
Answer:
16
Step-by-step explanation:
From the spinner there are 8 possible outcomes (1 to 8)
From the coin, there 2 (heads or tails)
8*2=16
There are 16 possible outcomes, when spinning a spinner numbered from 1 to 8 and tossing a coin.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
WE need to find the possible outcomes are there when spinning a spinner numbered from 1 to 8 and tossing a coin.
From the spinner, there are 8 possible outcomes (1 to 8)
From the coin, there 2 heads or tails;
8 x 2 = 16
Hence, There are 16 possible outcomes, when spinning a spinner numbered from 1 to 8 and tossing a coin.
Learn more about multiplications;
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Javier is 175% heavier than his brother. If Javier’s brother weighs 80 pounds, how much does Javier weigh?
Answer:
140
Step-by-step explanation:
175% of 80 = 140
WHO EVER HELP MES WILL GET BRAINLEST. AND ALL MY POINTS PLZ HELP ME FIND THE AREA OF THIS
Answer:
5 in^2
Step-by-step explanation:
2x2 for the square = 4 in
1x2/2 for the triangle = 1 in
Answer:
so find the area of the swuare first. 2 times 2 = 4. then you have to add that to the area of the triangle which is 1/2 times base times height. We know that the height is 1 and the base is 2 (from the square's common side shared) so its gonna be 2 times 1 which is 2 divided by 2 which is one soo its 4+1=5
so the answer is 5 inches squared
Step-by-step explanation:
You roll a six-sided number cube (die). What is the BEST answer for the probability that the number rolled is between 1 and 6, inclusive?
A) certain
B) unlikely
C) impossible
D) very likely
Answer: It is A certain.
Step-by-step explanation:
Because all the numbers on a six-sided cube is between 1 and 6 so it is certain or 100/100 that the number will land on a number between 1 and 6.
ASAP PLEASE
simplify the equation
Answer:
Option A is correct
Step-by-step explanation:
a^(6/4) = a^(3/2)
b^(4/4) = b
c^(8/4) = c^2
Hope this helps!
:)
Crunch Bunch cereal boxes come in two sizes. The mini cereal box of Crunch Bunch is a reduction of the standard box. A standard box with height x inches and width 8 inches. A mini box with height 4 inches and width 3.2 inches. What is the height of the standard size box of Crunch Bunch? 1.6 inches 6.4 inches 10 inches 15.2 inches
Answer:
The anwser is 10 inches
Answer:
10 inches I got it right on edge 2020
Describe each pattern formed. Find the next three terms. 4,8,16,32
Answer:
The pattern is multiplying by 2.
Next three terms: 64,128,256
Step-by-step explanation:
4,8,16,32
To get from 4 to 8 we can multiply by 2.
To get from 8 to 16 we can multiply by 2.
To get from 16 to 32 we can multiply by 2.
So the pattern is multiplying by 2.
To find the next three terms:
32*2=64
64*2=128
128*2=256
Classwork
Problem 1.
Gisele spent 7/10 of her money оn a book and 10/100 of her money on food. What fraction of her money
did she spend altogether?
Answer: It is 8/10 Because 7+1 equals 8/10 so 7/10+1/10 equals 8/10.
Pls answer the last question thank you! Number 5.
Answer:
1/2 x 4/1 x 2/1 = 4
4th should be 1/6 btw
Step-by-step explanation:
Answer:
Step-by-step explanation:
We'll say the fraction is 4 1/2 so: The length is 6 blocks the width is 2 blocks and we'll say the height is 3 blocks so the length would be 27 the width is 9 and the height is 13 1/2 now 27*9*13 1/2=3280 1/2
(you might have to draw this cube just sayin idk exactly what it wants)