Answer:
a=3√700b210b
Step-by-step explanation:
factorise: 18x - 42y + 30z
Answer:
divide by 6
6 ( 3x - 7y + 5z )
A study has been done to determine to see if the level of education determines how often people move between different states in America. If a person from the survey that attended college is randomly selected what is the probability that they also lived in 2 or more states during their life? P(2 state or more | College Degree)
This question is incomplete, the complete question is;
A study has been done to determine to see if the level of education determines how often people move between different states in America. If a person from the survey that attended college is randomly selected what is the probability that they also lived in 2 or more states during their life? P(2 state or more | College Degree)
Lived in just Lived in 2 or Total
1 state more states
No High School Diploma 6 2 8
High School Diploma 14 16 30
College Degree 2 18 20
Total 22 36 58
Options;
a) 0.111
b) 0.310
c) 0.500
d) 0.900
Answer:
The required probability is 0.9
Option d) 0.900 is the correct answer.
Step-by-step explanation:'
Given the data in the question;
Total number of people in the survey or sample size n = 58
Number of people with college degree who live in 2 or more state = 18
P(2 states or more and college degree) = Number of people with college degree who live in 2 or more state / Total number of people in the survey
P(2 states or more and college degree) = 18 / 58
Also, Total number of people with college degree = 2 + 18 = 20
so, P( College Degree ) = Total number of people with college degree / Total number of people in the survey
P( College Degree ) = 20 / 58
Therefore, P(2 state or more | College Degree) will be;
⇒ P(2 states or more and college degree) / P( College Degree )
⇒ ( 18 / 58 ) / ( 20 / 58 )
⇒ ( ( 18 / 58 )58 ) / 20
⇒ (( 18 × 58 ) / 58 ) / 20
⇒ 18 / 20
⇒ 0.9
Therefore, The required probability is 0.9
Option d) 0.900 is the correct answer.
13. Your school is sponsoring a charity race. Which set of numbers best describes the number of people
who participate in the race?
a. Natural numbers
c. Rational numbers
b. Integers
d. Irrational numbers
Answer:c
Step-by-step explanation:
The set of numbers that best describes the number of people who participate in the race is given by: Option A: Natural numbers.
What are natural numbers, rational numbers, integers and irrational numbers?Natural numbers are: 1, 2, 3, .... Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )Rational numbers are numbers which can be written in the form of [tex]\dfrac{a}{b}[/tex]integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.Irrational numbers are those real numbers which are not rational numbers. Example: [tex]\pi, \sqrt{2}[/tex] etc.Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
The count of people participating in the race is going to be in integers, but only non-negative.
Actually the correct option would be 'whole numbers' (whole numbers are 0, 1, 2, ... so they include 0 in addition to natural numbers). It is because it may be that no one participates in the race.
But for the given condition, assuming that at least 1 person participates in the race, we deduce that the number of people participating in race is needed to be a natural number. (as people's count can't be negative, or in fractions, or irrational(which doesn't include integers at all) ).
Thus, the set of numbers that best describes the number of people who participate in the race is given by: Option A: Natural numbers.
Learn more about natural numbers here:
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In Oklahoma the state sales tax rate is 7%. If
James purchases a lawn mower at $350.00, then
how much will James pay in state sales tax?
Write 7% as a decimal by dividing by 100:
7/100 = 0.07
Multiple the price of the mower by the decimal:
350 x 0.07 = 24.50
The tax = $24.50
mrs.johnson is working on math with a group of students. she has a total of 15 students. 9 of them are girls. what is the ratio of boys to girls for mrs.johnsons math group?
make sure you simplify all ratios and fractions
Answer:
6
Step-by-step explanation:
the rest are boys
Simplify the expression
-2(5z -7)
A researcher reported that 71.8% of all email sent in a recent month was spam. A system large corporation believes that the percentage at his company may be 77 % . He manager at a examines a random sample of 500 emails received at an email server, and finds that 361 of the messages are spam.
Required:
Can you conclude that less than 77% of emails are spam?
Answer:
p-value = 0.0054
at 0.05 level of significance ∝
p-value ( 0.0054 ) is less than significance level ∝ ( 0.05 )
Thus we Reject Null hypothesis H₀
Hence, there is enough evidence to conclude that less than 77% of emails are spam.
Step-by-step explanation:
Given the data in the question;
Sample size n = 500
x = 361
p₀ = 77% = 0.77
q₀ = 1 - p₀ = 1 - 0.77 = 0.23
p = x / n = 361 / 500 = 0.722
Hypothesis;
Null hypothesis H₀ : p ≥ 77% or 0.77
Alternative hypothesis Hₐ : p ≥ 77% or 0.77
Test Statistic
z = ( p - p₀ ) / √( ( p₀ × q₀ ) / n )
so we substitute
z = ( 0.722 - 0.77 ) / √( ( 0.77 × 0.23 ) / 500 )
z = -0.048 / √( 0.1771 / 500 )
z = -0.048 / √0.0003542
z = -0.048 / 0.01882
z = -2.55
so our p-value will be;
p-value = p( z < -2.55 ) {from table }
p-value = 0.0054
at 0.05 level of significance ∝
p-value ( 0.0054 ) is less than significance level ∝ ( 0.05 )
Thus we Reject Null hypothesis H₀
Hence, there is enough evidence to conclude that less than 77% of emails are spam.
The table shows the record low temperatures In Juneau, Alaska for each of the 12 months of the year in degrees F.
Record Low Temp
Month
Year
(in °F)
January
-22
1972
February
-22
1968
March
-15
1972
April
6
1963
May
25
1972
June
31
1971
July
18
1895
August
27
1948
September
23
1972
October
11
1984
November
-5
2006
December
-21
1941
According to the data, what is the range of the record low temperatures in Juneau, Alaska?
O A. -22°
OB. 4.67°
D. 31°
E. 539
O c. 8.50
Answer:
i think -22
Step-by-step explanation:
I need help to answer this
Answer: A
Step-by-step explanation:
fy: 143 +1.42 + 2.9°
Answer:
what does fy mean
Step-by-step explanation:
Step-by-step explanation:
I tell my friends about this and I found that FY means Fiscal year
20 points! And BRAINLIEST!
Answer:
32 sq. ft.
Step-by-step explanation:
1/2 (8x8)=1/2(64)=32
Determine the point that would partition the segment from \large \left(-2,3\right)to \large \left(5,-4\right)into a ratio of \large 2:3
Answer:
Partitioning a line segment, AB, into a ratio a/b involves dividing the line segment into a + b equal parts and finding a point that is a equal parts from A and b equal parts from B. When finding a point, P, to partition a line segment, AB, into the ratio a/b, we first find a ratio c = a / (a + b).
Step-by-step explanation:
I copied it from internet and did this one answer in my today's test so I can't guarantee it's correct but say let's wait##
WILL
GIVE
BRAINLISTTT
WHAT DO I DO HERE
.
answer:
below is a sample of a bar graph
step-by-step explanation:
label the bars according to the color they correspondlet me know if you need more explanationAnswer:
I identified it by color, but you must specify it by names because it is difficult for me to write on that program
Please Help if you can!! I also have more questions in my profile!
Answer:
(0, 9), (0, 0), (0, 1)
Step-by-step explanation:
Hope it helps you in your learning process.
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Answer:
4/ 7-4
Step-by-step explanation:
Find an expression witch represents the difference when (10x-8y) is subtracted from (-4x-9y) in the simplest form
Answer:
ye
Step-by-step explanation:
The soup pot is 8 inches tall with a radius of 3 inches.
What is the volume of the soup pot?
150.8 cubic inches
anything
99+
Answer:
The volume of the soup pot is of 226.19 cubic inches.
Step-by-step explanation:
Format of a soup pot:
A soup pot has a cylindrical format.
Cylinder volume:
The volume of a cylinder, with radius r and height g is given by:
[tex]V = \pi r^2h[/tex]
The soup pot is 8 inches tall with a radius of 3 inches.
This means that [tex]h = 8, r = 3[/tex]
What is the volume of the soup pot?
[tex]V = \pi r^2h = \pi*3^2*8 = 72\pi = 72(3.1415...) = 226.19[/tex]
The volume of the soup pot is of 226.19 cubic inches.
help i dont understand this
Answer:
it's b 12 i think
Step-by-step explanation:
Just help please need to pass
Answer: [tex]\frac{1}{10}[/tex]
Step-by-step explanation:
First, we need to find the common denominator
The easiest way to do this is by multiplying the two given denominators, which are 2 and 5.
2 × 5 = 10
So, our common denominator is 10. Then, multiply the numerators of the two fractions by 2 and 5. Here's why:
[tex]\frac{3*2}{5*2}[/tex] = [tex]\frac{6}{10}[/tex] We multiplied the top and bottom by 2 to make sure our new fraction stays equivalent to the original fraction.
Do the same thing for the other one:
[tex]\frac{1*5}{2*5}[/tex] = [tex]\frac{5}{10}[/tex]
Finally, subtract the two fractions to find the difference between the two times:
[tex]\frac{6}{10} -\frac{5}{10}[/tex] = [tex]\frac{1}{10}[/tex]
The reason we used the common denominator is because we can only add or subtract fractions if they have the same denominator.
What is the equation of the line that is perpendicular to line y= -2x+11 and crosses
point (-6, 8)?
y = 1 /2x
y = 1/2x -21
y = 1/2x – 10
y =1/2x + 11
Answer:
[tex]slope \ of \ y = -2x + 11, m_{1} = -2\\\\Let \ the \ slope\ of \ the \ new \ line \ be \ m_{2} \\\\ Since \ the \ line \ is \ perpendicular \ to \ the\ given \ line, m_{1} \cdot m_{2} = -1\\\\-2 \cdot m _{2} = -1\\ \\m _{2} = \frac{1}{2} \\\\Equation \ of \ the \ line \ passing \ through (-6, 8) \ slope = \frac{1}{2} \\\\(y - y_{1}) = m_{2}(x-x_{2} )\\\\(y-8) =\frac{1}{2} (x-(-6))\\\\y -8 =\frac{1}{2} (x+6)\\\\y = \frac{1}{2}x +3 +8\\\\y =\frac{1}{2}x + 11[/tex]
option 4
You take Rocky to the Del Mar fair. His mom gives him $30 to spend. It costs $13 to get in and the $2 for every ride. How many rides can he ride?
Answe r with the system of equations. Please help me.
Answer:
8 rides
Step-by-step explanation:
$30-$13
=$17
1 ride= $2
x ride =$17
x= 17/2
= 8.5
= 8 rides
You take Rocky to the Del Mar Fair. His mom gives him $30 to spend.
It costs $13 to get in and $2 for every ride. he can ride 8 rides.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
You take Rocky to the Del Mar Fair. His mom gives him $30 to spend.
It costs $13 to get in and $2 for every ride.
$30 - $13
= $17
Let x be the ride he can rides.
1 ride = $2
x ride = $17
x = 17/2
= 8.5
= 8 rides
Learn more about equations;
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You spend some time in the kitchen making sure the recipe is just right for
the cooking show. You spend 2 3/4 hours baking and half of an hour
cleaning up the kitchen. How much time were you in the kitchen?
Answer: 3¼ hours
Step-by-step explanation:
Number of hours used in baking = 2¾ hours
Number of hours used in cleaning up the kitchen = ½ hour
Therefore, the time used in the kitchen will be the addition of the time used in baking plus the time used in cleaning the kitchen which will be:
= 2¾ + ½
= 2 3/4 + 2/4
= 2 5/4
= 2 + 1¼
= 3¼ hours
Therefore, 3¼ hours was used in the kitchen.
What is the lead coefficient of the polynomial below?
3x^2+ 8x + 5
Answer:
The lead coefficient is 8
Step-by-step explanation:
This is because it is the biggest number that is right before the x or that is the coefficient.
The leading coefficient of the polynomial is given by C = 3
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
A = 3x² + 8x + 5
On simplifying the equation , we get
The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In this case, the polynomial 3x² + 8x + 5 has a term with degree 2 (the x² term) and the coefficient of that term is 3
Hence , the lead coefficient of this polynomial is 3
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Nathan brought a box of muffins to school so that he could share them with his friends. Along the way, a stray dog ate half of his muffins. He now has 8 muffins left. How many muffins did he start with?
Answer:
he had 16 muffins
Step-by-step explanation:
can i have brainly
15. Solve for the specified variable:
-
х
+
7 8
- 10; for y.
Answer:
[tex]y=80-\frac{8x}{7}[/tex]
Step-by-step explanation:
15). Given equation is,
[tex]\frac{x}{7}+ \frac{y}{8}=10[/tex]
Multiply the equation by 8,
[tex]8(\frac{x}{7}+ \frac{y}{8})=10\times 8[/tex]
[tex]\frac{8x}{7}+y=80[/tex]
Subtract [tex]\frac{8x}{7}[/tex] from both the sides of the equation,
[tex]\frac{8x}{7}+y-\frac{8x}{7}=80-\frac{8x}{7}[/tex]
[tex]y=80-\frac{8x}{7}[/tex]
Therefore, value of the variable 'y' will be,
[tex]y=80-\frac{8x}{7}[/tex]
What 3 dimensional solid will be formed by rotating the given figure around the given line of symmetry?
Answer:
option D)
Step-by-step explanation:
when a equilateral triangle is rotated about x-axis
rotating equilateral triangle about x-axis will lead to the formation of cone in.
the height of the equilateral triangle will represent height of the cone.
the base of the equilateral triangle will represent the circular base of the cone
and the slant height of the cone will represented by the sides.
hence, the correct answer will cone which is option D)
Catherine sells bags of popcorn at the theatre. The bags come in three sizes.
small
60g
£1.49
medium
150g
£3.99
large
250g
£5.99
Catherine thinks the medium bag of popcorn is the best value for money.
Is the medium bag of popcorn the best value for money?
Use the space below to show clearly how you get your answer
Answer:
The answer is the most reasonable one which I think large is
Step-by-step explanation:
Because it's only 100 grams more and $2 bucks seems like a good deal
Fid the cosine of angle Q. Round your answer to the nearest hundredth.
If f(x)=x^3−5x^2−2x+24 and (x+2) is a factor, what are the remaining factors?
Factor 1:
Factor 2:
Factor 3:
Answer:
(x+2), (x-4), (x-3)
Step-by-step explanation:
Use the rational root theorem to get started, then factor the remaining quadratic to find:
x^3 − 5x^2 − 2x + 24 = (x + 2)(x − 4)(x − 3)
Explanation:
Let f(x) =x^3 − 5x^2 − 2x + 24
By the rational root theorem, any rational zeros of f(x) must be expressible in the for p/q for integers p, q with p a divisor of the constant term 24 and q a divisor of the coefficient 1 of the leading term.
That means that the only possible rational zeros are the factors of 24, namely:
± 1, ± 2, ± 3, ± 4, ± 6, ± 12, ± 24
Try each in turn:
f(1) = 1 − 5 − 2 + 24 = 18
f(−1) = −1 − 5 + 2 + 24 = 20
f(2) = 8 − 20 − 4 + 24 = 8
f(−2) = −8 − 20 + 4 + 24 = 0
So x = −2 is a zero and (x + 2) is a factor.
x^3 − 5x^2 − 2x + 24 = (x + 2)(x^2 − 7x + 12)
We can factor
x^2 − 7x + 12 by noting that 4 × 3 = 12 and 4 + 3 = 7, so:
x^2 − 7x + 12 = (x − 4)(x − 3)
Putting it all together:
x^3 − 5x^2 − 2x + 24 = (x + 2)(x − 4)(x − 3)
Find the surface area of the prism.
s = 2b + PH
s = 4(3 * 4) + (8)(96) =
s = 4(12) + (8)(96)
s = 48 + (8)(96)
s = 48 + 768
s = 816