Answer:
N = 82
Step-by-step explanation:
(N - 49)/11 = 3
N - 49 = 33
N = 82
if sade can be 12 years and his mother senior him with 24 years and his dad senior him with 30 yearshow old is the sum of the both parents
Answer:
88
Step-by-step explanation:
mother's age = 12+24
= 36
father's age = 12+40
=52
add the parent age= 36+52
= 88
The Greenpoint factory produced two-fifths of the Consolidated Brick Company's bricks in 1991. If the Greenpoint factory produced 1,400 tons of bricks in 1991, what was the Consolidated Brick Company's total output that year, in tons?
Answer:
3,500 tons
Step-by-step explanation:
We know that 1,400 tons is 2/5 of the Consolidated Brick Company's output.
This means that 1/5 must be equal to 700 tons if 2/5 is 1,400.
So, we can find the total output by multiplying 700 by 5, since 700 is 1/5 of the total.
700(5) = 3,500 tons
Aster corporation accepted a $20,000, 9 percent 120-day note dated august 25 from lee company in settlement of a past bill. On October 25, Aster Corporation decided to discount the note at a discount of 8 percent. The proceeds to Aster Corporation are (blank)
Answer:
$20, 533.33
Step-by-step explanation:
From the question, we are given the following values
Principal = $20000
Rate = 8% = 0.08
Time( in years) = 120days = 4 months = 4/12 years = 1/3 years
Interest = Principal × Rate × Time
Interest = 20,000 × 0.08× (1/4)
Interest = $533.33
Hence, the proceeds to Aster Corporation are
$20000 + $533.33
= $20,533.33
True or False: The proportion of the population that has certain characteristics is the same as the probability that a randomly selected individual of the population has these same characteristics.
Answer:
True
Step-by-step explanation:
Assume that adults have it scores that are normally distributed with a mean of 99.6 and a standard deviation of 16.2 find the first quartile which is the hw score sepedafinf the bottom 25%
Answer:
88.7
Step-by-step explanation:
P(Z < z) = 0.25
z = -0.674
z = (x − μ) / σ
-0.674 = (x − 99.6) / 16.2
x = 88.7
Evaluate 8r - r s when r=6 and s=5 pls help!! asap
Answer:
18
Step-by-step explanation:
8r - r s
r=6 and s=5
8*6 - 6*5
48 - 30
18
Answer:
you first take the equation 8r-rs and you substitute r=6 s=5, which will look like this 8(6)-6(5).
after that you distribute 8*6 and 6*5
and then you'll get 48-30
finally you subtract the two numbers which will leave you with = 18
Step-by-step explanation:
which equation can be used to find the length of AB
Answer:
B
Step-by-step explanation:
You have to use cos because you are using the adjacent and hypotenuse
So
cos38=x/14
multiply each side by 14
14cos38
Your brother has a bag of marbles. He has 8 green marbles, 3 blue marbles, 7 red marbles, and 2 yellow marbles. What is the ratio of blue marbles to green and red marbles? Choose the answer that is a simplified unit rate. a 1 : 5 b 3 : 15 c 5 : 1 d 15 : 3
Answer:
a 1 : 5
Step-by-step explanation:
Blue mables: 3
green and red marbles: 8 + 7 = 15
then, the radio blue:(green+red) is:
3 : 15
simplified unit rate is:
3/3 = 1
15/3 = 5
then:
3:15
is equal to:
1:5
Answer:
a 1 : 5
2.) Evaluate 6a² if a = 4
Answer:
96
Step-by-step explanation:
We simply need to plug in a = 4 so 6a² = 6 * 4² = 6 * 16 = 96.
2. Find the distance between the two points. Round to the nearest tenth if necessary.
(0,9), (-8, -4)
21
15.3
9.4
233
Answer:
[tex]\boxed{D = 15.8\ units}[/tex]
Step-by-step explanation:
The coordinates are (0,9) and (-8,-4)
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
D = [tex]\sqrt{(-8-0)^2+(-4-9)^2}[/tex]
D = [tex]\sqrt{(-8)^2+(-13)^2}[/tex]
D = [tex]\sqrt{81+169}[/tex]
D = [tex]\sqrt{250}[/tex]
D = 15.8 units
Answer:
15.3
Step-by-step explanation:
The coordinates are (0,9) and (-8,-4)
Distance of two points formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Plug in the values.
[tex]D=\sqrt{(-8-0)^2+(-4-9)^2}[/tex]
[tex]D=\sqrt{(-8)^2+(-13)^2}[/tex]
[tex]D=\sqrt{64+169}[/tex]
[tex]D=\sqrt{250}[/tex]
[tex]D= 15.264338...[/tex]
[tex]D \approx 15.3[/tex]
Factor this polynomial expression, and wrote it in its fully factored form 3x^3 + 3x^2 - 18x
Answer:
3x (x - 2) (x + 3)
Answer 4
Hope this helps :)
how do i solve for this help please \sqrt(x+5) = \sqrt(x)+1
Answer:
x=4
Step-by-step explanation:
sqrt(x+5) = sqrt(x)+1
Square each side
(sqrt(x+5))^2 = (sqrt(x)+1)^2
x+5 = (sqrt(x)+1)^2
Foil
x+5 = (sqrt(x)) ^2 + sqrt(x) + sqrt(x) + 1
x+5 = x + 2 sqrt(x) + 1
Subtract x from each side
5 = 2 sqrt(x) + 1
Subtract 1 from each sdie
4 = 2 sqrt(x)
Square each side
4^2 = (2 sqrt(x))^2
16 = 4 x
Divide by 4
16/4 = 4x/4
4 =x
Check to see if it is extraneous
sqrt(4+5) = sqrt(4)+1
sqrt(9) = sqrt(4) +1
3 = 2+1
3=3
It is a valid solution
Answer:
[tex]\boxed{x=4}[/tex]
Step-by-step explanation:
[tex]\sqrt{x+5} = \sqrt{x}+1[/tex]
Take the square on both sides.
[tex]x+5=( \sqrt{x}+1)^2[/tex]
Expand brackets.
[tex]x+5=( \sqrt{x}+1) ( \sqrt{x}+1)[/tex]
[tex]x+5= \sqrt{x} ( \sqrt{x}+1) +1 ( \sqrt{x}+1)[/tex]
[tex]x+5= x+ \sqrt{x}+ \sqrt{x}+1[/tex]
[tex]x+5= x+ 2 \sqrt{x}+1[/tex]
Subtract 2√x, x, and 5 on both sides.
[tex]x- 2 \sqrt{x} -x= 1-5[/tex]
[tex]-2 \sqrt{x} = -4[/tex]
Cancel negative signs.
[tex]2\sqrt{x} = 4[/tex]
Divide both sides by 2.
[tex]\sqrt{x} =2[/tex]
Square both sides.
[tex]x=2^2[/tex]
[tex]x=4[/tex]
Check if the solution in the equation works.
[tex]\sqrt{x+5} = \sqrt{x}+1[/tex]
Let [tex]x=4[/tex]
[tex]\sqrt{4+5} = \sqrt{4}+1[/tex]
[tex]\sqrt{9} = 2+1[/tex]
[tex]3=3[/tex]
The value of x as 4 works in the equation.
Suppose I have either a fair coin or a bent coin, and I don’t know which. The bent coin has a 60 % 60\% 60% probability of coming up heads. I throw the coin ten times and it comes up heads 8 times. What is the probability I have the fair coin vs. the probability I have the bent coin? Assume at the outset there is an equal ( . 5 , . 5 ) (.5,.5) (.5,.5) prior probability of either coin.
Answer:
the Probability of Fair coin = 0.2664=26.64 % and
Probability of Bent coin = 0.7336= 73.36 %
Step by step Explanation:
The fair coin has a 60% probability of coming up heads, same thing with the bent coin , when the coin was thrown up ten times,it comes up heads 8 times,
Here we were told to find the probability fair coin vs. probability bent coin
A)THE FAIR COIN::
The probability of getting Head Coin = 1/2
Probability of getting tail Coin = 1/2
Then the Probability of head 8 times out of 10 can be calculated using combination
= ¹⁰C₈ × (1/2)⁸ ×(1/2)²
= 45/1024
= 0.0439
Therefore, the Probability of head 8 times out of 10= 0.0439
B)BENT COIN
the probability of getting Head Coin = 0.6
= 6/10
= 3/5
NOTE: 60%=0.6
The probability of getting tail Coin = 1 - 3/5
= 2/5
Then, the probability of getting head 8 times out of 10 can be calculated using combination;
= ¹⁰C₈ × (3/5)⁸ × (2/5)²
= 45 × 6561 ×( 4 / 5¹⁰)
= 0.1209
Therefore, the probability of getting head 8 times out of 10 = 0.1209
We can now calculate the Probability of Fair coin
(Probability of head 8 times out of 10 in fair coin )/(Probability of head 8 times out of 10 in fair coin )+(the probability of getting head 8 times out of 10 in bent coin)
= (0.0439 )/(0.0439 + 0.1209)
= 0.2664
Probability of bent coin can as well be calculated as 0.1209 /(0.0439 + 0.1209)
= 0.7336
Therefore, the Probability of Fair coin = 0.2664=26.64 % and
Probability of Bent coin = 0.7336= 73.36 %
What is 651 minus -13? Please with explanation.
Answer:
664
Step-by-step explanation:
651 - - 13
Negative times negative is positive.
651 + 13
Add.
664
Answer:
664
Step-by-step explanation:
651 - (-13)
Do the keep , change , change method
So , it will be :
651 + 13 = 664
Hope this helps and plsss plss amrl as brianliest and THNXX :)
PLEASE HELP BRAINLY INSTANTLY
Kira solved the equation in the following way.
7/2 − 2x = 11/2
7/2 − 7/2 − 2x = 11/2 − 7/2
−2x ÷ −2 = 4/2 ÷ − 2
x = −1 Describe the properties of equality that Kira used. The first step is to use the ____ property of equality to combine the constant terms. The second step is to use the ___ property of equality to isolate the variable.
Answer:
subtraction; division
Step-by-step explanation:
the first step is to subtract 7/2 from both sides.
the second step is to divide by -2
Answer:
✔ Subtraction
✔ Division
Step-by-step explanation:
It's right in Edgen
select the coordinates of two points on the line y = -2
Answer: (0, -2) & (1, -2)
Step-by-step explanation:
There are an infinite number of coordinates on y = -2.
The coordinates can have any x-value, but must have -2 for the y-value.
Rationalise the denominator and simplify
A) 2sqrt3/sqrt12
B) 5sqrt7/sqrt35
Answer: A) 1 B) [tex]\sqrt5[/tex]
Step-by-step explanation:
[tex]A)\quad \dfrac{2\sqrt3}{\sqrt{12}}=\dfrac{2\sqrt3}{2\sqrt3}=1\\\\\\\\B)\quad \dfrac{5\sqrt7}{\sqrt{35}}=\dfrac{5\sqrt7}{\sqrt5\cdot \sqrt7}=\dfrac{5}{\sqrt5}\bigg(\dfrac{\sqrt5}{\sqrt5}\bigg)=\dfrac{5\sqrt5}{5}=\sqrt5[/tex]
Factorize a² +3ab - 5ab - 15b².
Answer:
[tex]a^2+3\,a\,b-5\,a\,b-15\,b^2=(a-5\,b)\,(a+3\,b)[/tex]
Step-by-step explanation:
Work via factoring by groups:
!) re arrange the terms as follows:
[tex]a^2-5ab+3ab-15b^2[/tex]
then extract the common factor for the first two terms (a), and separately the common factors for the last two terms (3 b):
[tex]a^2-5ab+3ab-15b^2\\a\,(a-5\,b)+3\,b\,(a-5\,b)[/tex]
Now notice that the binomial factor (a-5 b) is in both expressions, so extract it:
[tex]a\,(a-5\,b)+3\,b\,(a-5\,b)\\(a-5\,b)\,(a+3\,b)[/tex]
which is the final factorization.
Answer:
[tex] \boxed{\sf (a + 3b)(a - 5b)} [/tex]
Step-by-step explanation:
[tex] \sf Factor \: the \: following: \\ \sf \implies {a}^{2} + 3ab - 5ab - 15 {b}^{2} \\ \\ \sf Grouping \: like \: terms, \\ \sf {a}^{2} + 3ab - 5ab - 15 {b}^{2} = {a}^{2} + (3ab - 5ab) - 15 {b}^{2} : \\ \sf \implies {a}^{2} + (3ab - 5ab) - 15 {b}^{2} \\ \\ \sf 3ab - 5ab = - 2ab : \\ \sf \implies {a}^{2} - 2ab - 15 {b}^{2} \\ \\ \sf The \: factors \: of \: - 15 \: that \: sum \: to \: - 2 \: are \: 3 \: and \: - 5. \\ \\ \sf So, \\ \sf \implies {a}^{2} + (3 - 5)ab - 15 {b}^{2} \\ \\ \sf \implies {a}^{2} + 3ab - 5ab - 15 {b}^{2} \\ \\ \sf \implies a(a + 3b) - 5b(a + 3b) \\ \\ \sf \implies (a + 3b)(a - 5b)[/tex]
3 - 2x is a polynomial
Answer:
true
Step-by-step explanation:
3 -2x is a polynomial of degree 1, consisting of two terms. Such a polynomial can be referred to as a "binomial."
Your observation is True.
A line has____ rotational symmetry. A. Four-fold B. Six-fold C. Two-fold D. Seven-fold
Answer:
Option C
Step-by-step explanation:
A line has a 2-Fold rotational symmetry because if we rotate the line about 180, The resulting thing will be the same line.
Answer:
[tex]\boxed{\mathrm{C}}[/tex]
Step-by-step explanation:
A line has two-fold rotational symmetry.
The line rotated two times from a central point remains the same.
Or the line rotated 180 degrees from a central point remains the same.
help me please i jave 10 min left HELP
Answer:
Option (A).
Step-by-step explanation:
[tex]8\frac{4}{5}[/tex] is a mixed fraction and can be written as,
[tex]8\frac{4}{5}=8+\frac{4}{5}[/tex] [Combination of a whole number and a fraction]
When we multiply this mixed fraction by 7,
[tex]7\times 8\frac{4}{5}=7\times (8+\frac{4}{5})[/tex]
[tex]=(7\times 8)+(7\times \frac{4}{5})[/tex] [Distributive property → a(b + c) = a×b + a×c]
[tex]=56+\frac{28}{5}[/tex]
[tex]=56+5\frac{3}{5}[/tex]
[tex]=56+5+\frac{3}{5}[/tex]
[tex]=61+\frac{3}{5}[/tex]
[tex]=61\frac{3}{5}[/tex]
Therefore, [tex]7\times 8\frac{4}{5}=61\frac{3}{5}[/tex] will be the answer.
Option (A) will be the correct option.
What is the surface area of the right cone below?
A. 52 units2
O B. 1047 units2
C. 6870 units2
D. 5471 units2
First find height using Pythagorean theorem.
[tex]h^2+4^2=13^2\implies h=\sqrt{153}\approx12.37[/tex].
Then use cone surface area formula and compute the result:
[tex]A=\pi r(r+\sqrt{h^2+r^2})\approx\boxed{68\pi}\mathrm{units^2}[/tex].
Hope this helps.
Solve for the unknown angles. Justify your answers.
Answer:
1. 31.67 degrees
2. 38 degrees
3.
PNQ = 117 degrees
LKQ = 102 degrees
4. XYV = 120 degrees
Step-by-step explanation:
1. Using sum of angles of a triangle = 180
angle ACB = 180 - 55.14 - 93.19 = 31.67
2.
FDE = 180-GDE = 180 - 135.11 = 44.89 [angles on a line are supplementary]
FED = HEJ = 97.11 [vertical angles]
DFE = 180-FDE-FED = 180 - 44.89 - 97.11 = 38 degrees
3.
MLN = 180 - 82 = 98 [angles on a line are supplementary]
PNQ = 360 - 67 - 78 - 98 = 117 [sum of exterior angles of a polygon = 360]
LKQ = 180 - 78 = 102 [angles on a line are supplementary]
4.
WXY+YXZ = 180 [angles on a line are supplementary]
=>
3x + x = 180
=>
x = 180/4 = 45
Now solve for XYV
XYV = 360 - 135 - 60 - 45 = 120 [sum of interior angles of quadrilateral = 360]
Note: In the future, please limit the number of problems per question to three.
Please thank you! I will give brainleist to the first correct answer if it lets me
Answer:
x=10 y=12
Step-by-step explanation:
just multiply 15 and 18 by 1/3 because both triangle are similar.
Answer:
x = 10; y = 12
Step-by-step explanation:
find the scale factor ratio using corresponding sides: 9 / 6 = 3/2 so the ratio is 3:2
from large triangle to small triangle you will get:
1. 15 / x
2. 18 / y
to implement the ratio, set the side length ratio equal to the scale factor:
1. [tex]\frac{15}{x}[/tex] = [tex]\frac{3}{2}[/tex]
2. [tex]\frac{18}{y}[/tex] = [tex]\frac{3}{2}[/tex]
cross multiply:
1. 30 = 3x
2. 36 = 3y
divide:
1. x = 10
2. y = 12
Select the correct answer.
Which of the following represents a function?
Answer:
D.
Step-by-step explanation:
A function is when each x-value has only 1 y-value.
A: When x = 5, there are two values for y.
B: When x = -3, there are two values for y.
C: When x = -4, there are two y-values.
D: Each x-value has exactly one y-value.
So, your answer should be D.
Hope this helps!
Option (D) is accurate since the fourth option's x value has exactly one y value.
D. {(₋7,9), (₋4,₋9), (5,15), (7,19)}
What are functions?
Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.
When we say that a variable quantity y is a function of a variable quantity x, we indicate that y depends on x and that x's value determines what y's value will be. This reliance can be expressed as follows: y = f (x)
Given,
In the first case, y has two different values of 13 and 17, which is not permitted in a function, with the same value of x = 5. The first case is not a function as a result.
For the same value of x = 3 in the second case, y has two different values of 1 and 1, which is not permitted in a function. The second example is therefore not a function.
In the third case, for the same value of x = ₋4, y has two different values of 52 and 16 which is not allowed in a function. Therefore, third case is not a function.
Here, in the fourth situation, no x value is identical and there is only one possible y value.
Hence we get the answer as {(₋7,9), (₋4,₋9), (5,15), (7,19)} which represents the function.
Learn more about "functions" here-
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Five boxes of crackers cost 9$. At this rate, how much do 20 boxes cost?
Answer:36
Step-by-step explanation: first I did
9÷5=1.80 per box.
so then I did 1.80 x 20 which = 36
Answer:
20 boxes cost $36
Step-by-step explanation:
Using proportions,
5 boxes cost 9$
20 boxes cost X$
Cross multiply
X = 9/5 * 20 = 36$
If a sprinkler waters 1/15 of lawn in 1/5 of an hour how much time will it take to water the entire lawn ?
Answer:
3 hours
Step-by-step explanation:
1/5 of an hour would be equivalent to 12 minutes (60 minutes in an hour divided by 5)
Multiply 12 minutes by 15 to see how long it will take to water the entire lawn in minutes ----> 12x15=180
Divide 180 by 60 to see how many hours it takes ---> 180/60=3
Answer:
3 hours.
Step-by-step explanation:
1/15 of the lawn is watered in 1/5 hours
So the whole lawn is watered in 15 * 1/5
= 3 hours.
Which statements are true regarding undefinable terms in geometry?
C. A line has one dimension, length.
E. A plane consists of an infinite set of lines.
In 2002, the mean expenditure for auto insurance in a certain state was $806. An insurance salesperson in this state believes that the mean expenditure for auto insurance is less today. She obtains a simple random sample of 32 auto insurance policies and determines the mean expenditure to be $781 with a standard deviation of $39.13. Is there enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance?
Answer:
No there is not enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance
Step-by-step explanation:
Sample Mean = μ1 = $806
Sample Mean = μ2 = $ 781
Standard Deviation= S= σ =39.13
n= 32
Confidence Interval = 95 %
α= 0.05
z∝=± 1.96
We state the null and alternative hypotheses as
H0: μ1 = $806 and Ha: μ1 ≠ $806 two sided tail test
z= μ1 -μ2/σ/√n
z= 806-781/ 39.13/√32
z= 806-781/ 39.13/5.6568
z=806-781/ 6.92
z= 25/6.92
z= 3.613
Z> z∝
3.613 > ± 1.96
No there is not enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance
What is the solution to the system of linear equations shown in the graph below?
-(3,4)
-(0,-3)
- infinite solutions
-no solutions
The solution is where the two red lines cross. This is the point (3,-4)
If you knew the equation of each red line, you can plug (x,y) = (3,-4) into each equation. You should find the two equations lead to true statements.