Answer:
A
Step-by-step explanation:
multiply the 6 with the numbers in the bracket
6x -12 + 21 < 39
addition(-12+21 =9)
6x + 9 < 39
grouping
6x < 39-9
6x < 30
divide both sides by the coefficient of x
6x/6 < 30/6
x < 5
High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam Students who score in the top 26 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly
recognized?
Using the normal distribution, it is found that a student has to score 0.6433 standard deviations above the mean to be publicly recognized.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.The top 26% of the scores are given by scores above the 74th percentile, which corresponds to Z = 0.6433, hence, a student has to score 0.6433 standard deviations above the mean to be publicly recognized.
More can be learned about the normal distribution at https://brainly.com/question/24663213
A 10-page play is $0.70 per page to e
dit. How much will I have to pay you to net this amount on Up Work? Please include the UpWork fee in your calculation. (Also, please use digits only, plus decimal and S-sign where necessary. No need for words.)
Answer:
The answer of this question is 7
Step-by-step explanation:
because 1 page=$0.70 and now calculate
10×1×0.70=7
To edit 10-page play you have to pay $7.
What is unitary method?"It is the method of finding the value of a single unit, and based on that value we can find the required value."
For given question,
A play is of 10 pages.
It charges $0.70 per page to edit.
So, to edit 10-page play the cost would be,
10 × $0.70 = $7.0
Therefore, to edit 10-page play you have to pay $7.
Learn more about unitary method here:
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Fill in the blanks below with the correct units. (a) John's desk is about 2 ? long. (b) Milan used a fork that had a mass of about 28 ? . (c) Rita poured about 10 ? of medicine onto a spoon.
Answer:
Blank 1. is 2 feet
Blank 2. is 28 grams
Blank 3. is 8 mililiters
Step-by-step explanation:
3. The weight of cell phones is normally distributed. The mean weight of a sample of 300 cell phones is 112 grams, with a standard deviation of 2 grams. With a 95% confidence level, determine
the maximum error of estimate
18.99%
22.63%
1.31%
29.73%
The maximum error of estimate with a sample of 300 cell phones is 29.73%
Determining maximum error estimateThe formula for calculating the maximum error of the estimate is expressed as:
ME = √0.25/n
n is the total sample
Given the following parameters
n = 300
Substitute into the formula to have:
ME = √0.25/n
ME = √0.25/300
ME = 0.2973
ME = 29.73%
Hence the maximum error of estimate with a sample of 300 cell phones is 29.73%
Learn more on maximum error here: https://brainly.com/question/13370015
The weight of cell phones is normally distributed. The mean weight of a sample of 300 cell phones is 112 grams, with a standard deviation of 2 grams. With a 95% confidence level, determine
the maximum error of estimate
Answer:
29.73%
Select the correct answer.
What term is used to describe a metropolitan area that spreads out to include several cities?
O A. suburb
O B. megalopolis
OC. freeway
OD. urban core
Answer:
B. megalopolis
Step-by-step explanation:
Hope it helps you in your learning process.
NEED HELP ASAP!!!
On a coordinate plane, sketch the graphs. y=|x| , y=|x+3| , and y=|x-2|
Answer:
Step 1. Plot x-intercept
Step 2. Plot y-intercept
Step 3. Connect dots
y = |x|
x-intercept = (0,0)
y-intecept = (0,0)
y = |x + 3|
x-intercept = (-3,0)
y-intecept = (0,3)
y = |x - 2|
x-intercept = (2,0)
y-intecept = (0,2)
BRAINLIEST please if this helped!Help picture below problem 11
Answer:
Missing Angle = 26⁰ ( corresponding angles )
please help, there is a picture.
Answer:
B (2.5, -0.5)
An altitude of a triangle is a line or segment that passes through a vertex of
the triangle and is perpendicular to the line containing the opposite
Answer here
Answer: side
Step-by-step explanation:
Alissa surveys a random sample of 50 students at her school about the country
they would most like to visit. The table shows her results. Based on the sample,
can Alissa conclude that there are probably fewer students at her school who
want to visit Japan than Australia? Explain your reasoning.
There are two problems please help
Answer:
1. Alissa can conclude that there are fewer students at her school that want to visit Japan (7) than Australia (13)
I'm not sure about the 2nd question so you can use it if you want or just wait if someone else gives a different answer
2.
25 × 0.52 = 13 pets that don't have a home
25 - 13 = 12 pets that have a home
Pets that don't have a home is more than the pets that have a home
The statement is not misleading
Put these numbers in order from least to greatest "-5" 13 4 10 "-1"
Answer:
-5, -1, 4, 10, 13
Step-by-step explanation:
the larger the negative, the smaller the number
If (x, 42) is a solution to the equation y = -6 (x – 15) – 3, find x
Put y and find x
y=-6(x-15)-342=-6(x-15)42+3=-6(x-15)45=-6x+90-6x=-45x=45/6x=15/2A store pays 6% commission on the first $500 in sales and 8% on sales over $500 find the commission on an $800 sale
Answer:
Step-by-step explanation:
Multiplying the sales amount of 500$ and the commision rate of 6% results to
500(0.06)
=30.
Express the repeating decimal 0.3 as a fraction
The answer is 1/3.
If you're still not sure (and math teachers will appreciate you doing this), you can check. Divide 1 by 3 and you will get 0.333333333333...
I hope this answers your question.
(0 points)
4A is an acute angle in a right triangle.
If cos A = 15/17, find the ratio for the sin A.
Explain how you solved the problem in 2-3 sentences or show your steps.
Answer:
sin A = 8/17.
Step-by-step explanation:
As cos A = 15/17 one leg of the triangle = 15 and the hypotenuse = 17.
The side length 15 is the adjacent side to angle A.
First find the length of other side of the right triangle, using the Pythagoras
Theorem:
Opposite side to ange A = √(17^2 - 15^2)
= √64
= 8 units.
sin A = opp side / hyp
= 8/17.
Find a root of the Equation, x2 − 4x −10 = 0 using bisection method.
Using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.
What is the Bisection Method?The bisection method is a method employed to approximately find the roots of an equation through repeated dividison of an interval until a relatively small interval is arrived at.
Given the equation:
x² - 4x - 10 = 0.
Applying the bisection method, we would have the following:
x² - 4x + (2²) - (2²) - 10 = 0
(x - 2)² - 14 = 0
Add 14 to both sides
(x - 2)² = 14
Take the square root of both sides
x - 2 = ±√14
x = 2 ± √14
x = 2 - √14 = -1.74
or x = 2 + √14 = 5.74
Therefore, using the bisection method, a root of the equation, is: x = -1.74 or x = 5.74.
Learn more about bisection method on:
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On the 11th of March, 2011, an earthquake along the eastern shore of Japan caused a tsunami, which
then damaged a nuclear power plant. Several radioactive elements were released into the air and ocean.
Use an exponential decay formula to model how long some of these elements can be expected to persist
in the environment.
4. Cesium-137 has a decay constant of
0.0231 (a 30 year half-life). If 20
pounds of cesium-137 were released
into the Pacific Ocean by the tsunami,
how much will still be there ten years
later?
5. Strontium-90 has a decay constant of
0.0248 (a 28 year half-life). If 80
pounds of strontium-90 were
released into the Pacific Ocean by the
tsunami, how much will be left in 75
years?
6. When strontium-90 decays, it transforms into yttrium-90, which has a half-life of
only 64 hours, (0.007302 years). If the decay constant of yttrium-90 is -94.93,
what percentage of a one-pound sample will be left after one month ( of a
year)?
The radioactive sponteanous decay of the parent nucleus gives rise to the daughter nucleus.
What is radioactivity?Radioactivity refers to the sponteanous decay of a substance. We have the formula;
N(t) = Noe^-kt
Where;
N(t) = amount of radioactive material left after time t
No = amount of radioactive material initially present
k = decay constant
t = time taken
Let us now solve the questions individually;
a)
No = 20 pounds
N(t) = ?
k = 0.0231
t = 10 years
N(t) = 20e^-(0.0231 * 10)
N(t) = 16 pounds
b)
No = 80 pounds
N(t) = ?
k = 0.0248
t = 75 years
N(t) =80e^-(0.0248 * 75)
N(t) = 12.45 pounds
Learn more about radioactivity: https://brainly.com/question/15289741?
Jon mixed 3 cups of pineapple juice with 5 cups of
mango juice to make fruit punch.
Complete the equation below to represent the
relationship between the number of cups of
pineapple juice, p, and the number of cups of mango
juice, m.
p=
Answer:
p = 5/3m
Step-by-step explanation:
The Ratio of Pineapple juice to mango juice is 3:5. Since you can substitute the variable in, and they have already supplied part of the equation, you can set this equation up:
3p = 5m
divide both sides by 4
p = 5/3m
This tells us that for every cup of Pineapple juice, there is 5/3 cup of mango juice.
Hope this helps!
Brainiest always helps me out :)
Cameron buys a pack of pencils and a pencil sharpener for $15. The pencil sharpener costs twice as much as the pack of pencils. How much does the pack of pencils cost?
A. $2
B. $10
C. $5
D. $30
Answer:
D. $30
Step-by-step explanation:
All you have to do is multiply 15 by 2 and you'll get 30.
Find the range of the relation.
O {-4, -3, -2, -1, 0, 1, 2, 4)}
O {-4, -2,0, 2, 4)}
O {-4,4)}
O {-3, -2, -1, 0, 1)}
Answer:
largest number -smallest number
dding and Subtracting Decimals struction Active Finding an Account Balance Dewan's bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance? O $1.08 O $6.84 O $9.16 O $24.34.what is the answer
Answer: 24.34 is his balance.
Step-by-step explanation:
Factor into linear factors: [tex]x^{2} +16[/tex]
[tex]~~x^2+16\\ \\=x^2-(-16)\\\\=x^2-(4i)^2\\\\=(x+4i)(x-4i)[/tex]
Answer:
(x + 4)(x + 4)Step-by-step explanation:
Given expression:
x² + 16Clearly, 16 is a perfect square as 4 x 4 is 16.
Thus, this expression can be written as:
⇒ x² + 16⇒ x² + 4²Using the formula "a² + b² = (a + b)(a + b)"
⇒ x² + 4² ⇒ (x + 4)(x + 4)Resulting set please help !!!!
The union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.
What is ordered pair?The ordered pair is the pair of two numbers which represented in a manner that it provides a particular order.
In an order pair, the first term indicates the x-coordinate, while the second term indicate the y coordinates. The ordered pair are written in close bracket in the following way.
[tex](x,y)[/tex]
The given set is U(a,e,i,o,u), in which,
[tex]X=(a,i,o)\\Y=(o,e,u)\\Z=(i,o,u)[/tex]
[tex]X\cup Y[/tex]For the union, write all the terms of X and Y set.
[tex]X\cup Y=(a,e,i,o,u)[/tex]
[tex]X\cap Z[/tex]For the intersection, write all the common terms of X and Z set.
[tex]X\cap Z=(i,o)[/tex]
[tex]X\cap Y\cap Z[/tex]For the intersection, write all the common terms of X , Y and Z set.
[tex]X\cap Y\cap Z=(o)[/tex]
Hence, the union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.
Learn more about the ordered pair here;
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Write an equation of the line in slope-intercept form.
Answer:
Step-by-step explanation:
Y-intercept is -2.
Using slope formula, 2-(-2)/2-0 = 4/2 = 2 = slope.
Plugging into slope-intercept form:
y=mx+b => y=2x-2
Two cards are chosen at random without replacement from a pack of 52 playing cards. If the first card chosen is an Ace, what is the probability the second card chosen is a King?
Answer:
4/52 or 1/13
Step-by-step explanation:
Answer:
the probabilyy of that will probably be the probability of that question porbably speaking about probability
Naoya read a book cover to cover in a single session, at a rate of
55
5555 pages per hour. After reading for
4
44 hours, he had
330
330330 pages left to read.
How long is the book?
Answer:
550pages and 10 hours
Step-by-step explanation:
Please help will give brainliest
Answer:
<1=104
<2=76
<3=76
<4=104
<5=104
<6=76
<7=76
<8=104
Step-by-step explanation:
So, the angles are all vertical to the one across it.
That makes <2 to be 76.
76(2)+2(<1)=360,
2(<1)=208
<1=104
You also know that the two lines are parallel, making the ones above/below it equal.
That makes <7 AND <6 to be 76 as well.
If the perimeter of the triangle shown below is 48x + 9, what is the length of the missing side? 4x+2 3x – 9 NEED ANSWER ASAP
Answer:
41x+16
Step-by-step explanation:
4x+2+3x-9+c=48x+9. You can move all the things you know to the other side.
c= 48x-4x-3x-2+18
c=41x+16
Factor the expression. x2 – 10xy + 24y2
A) (x – 6y)(x – 4y)
B)(x + 6y)(x + 4y)
C)(x + 2y)(x – 12y)
D) (x – 2y)(x + 12y)
Khan Academy Volume of Sphere Answers!!!
Explanation:
The N stands for Pi so when you type in the answers to Khan Academy use the Pi symbol when theres an N! These are the common questions and common radius Khan Academy gives when they ask to find the radius of the circle.
Answers:
For 4 - 267.95
For 1/4 - 1/48n
For 1 - 4/3n
For 9 - 972n
For 7 - 1372/3n
For 6 - 288n
For 3 - 36n
For 10 - 4000/3n
For 8 - 2048/3n
For 1/2 - 1/6n
For 5 - 500/3n
For 2 - 33.49
Step-by-step explanation:
I did the go math so all of these rights and the majority of the answers are the questions Khan Academy will ask you to find the radius of the circle.
