At the playground, the new sandbox was 10 meters wide and had an area of 60 square meters. How long is the sandbox?
Answer:
6 meters
Step-by-step explanation:
Area is length times width. If the width is 10 and the area is 60, then you would find 10 times ??? equals 60. Or 60 divided by 10. which is 6
10) -2(n - 6) = 20
please help!
Answer:
n = 1
Step-by-step explanation:
Answer:
n = -4
Step-by-step explanation:
Let's solve your equation step-by-step.
−2(n − 6) = 20
Step 1: Simplify both sides of the equation.
−2(n − 6) = 20
(−2)(n) + (−2)(−6) = 20(Distribute)
−2n + 12 = 20
Step 2: Subtract 12 from both sides.
−2n + 12 − 12 = 20 − 12
−2n = 8
Step 3: Divide both sides by -2.
[tex]\frac{-2n}{-2} = \frac{8}{-2}[/tex]
n = -4
Hope this helps, please mark brainliest if possible. Have a great day.
- ⅘ x = 8.....................
im actually in middle school btw dunno why it says college
Answer:
-10
Step-by-step explanation:
See image below:)
Answer:
x = -10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-4/5x = 8
Step 2: Solve for x
[Division Property of Equality] Divide -4/5 on both sides: x = 8 / -4/5Divide: x = -10Write the point-slope form of the equation for a line that passes through (-1, 4) with a slope of 2.
The value of xt is
The value of yn is
The point-slope form of the equation is
Answer:
67 f
Step-by-step explanation:
find the volume of the rectangular prism with the length 9 cm, width 6 cm, and height 8cm
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
We're provided - Length , width & height of the rectangular prism are 9 cm , 6 cm & 8 cm respectively & we're asked to find out the volume of the rectangular prism. Remember : The formula to find the volume of the rectangular prism is l × w × h where l is length , w is width & h is height of the rectangular prism.[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]
[tex] \boxed{ \tt{☂ \: VOLUME \: OF \: RECTANGULAR \: PRISM = l \times b \times h}}[/tex]
[tex] \large{ \tt{⟶ \: 9 \: cm \: \times \: 6 \: cm \: \times \: 8 \: cm}}[/tex]
[tex] \large{ \boxed{ \tt{⟶ \: 432 \: {cm}^{3} }}}[/tex]
[tex] \large{ \boxed{ \boxed{ \tt{↝OUR \: FINAL \: ANSWER : \boxed{ \tt{432 \: {cm}^{3}}}}}}} [/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Which of the following is an example of quantitative data?
A person's Zip Code
The color of your car
A Person's Height
A person's city of residence
Answer:
a person's height
Step-by-step explanation:
thing that you can count
Answer:
a person's height helpful answer
A company operates three machines during three shifts each day. From production records, the data in the table below were collected. At the .05 level of significance test to determine if the number of breakdowns is independent of the shift.
Machine
Shift A B C
1 Observed 46 11 13
Expected 40.27933 14.07821 15.64246
2 Observed 37 10 11
Expected 33.3743 11.6648 12.96089
3 Observed 20 15 16
Expected 29.34637 10.25698 11.39665
a. Yes, you can reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.0423
b. Yes, you can reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.9577
c. No, you cannot reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.0423
d. No, you cannot reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.9577
An animal shelter has enough pens for x small dogs and y large dogs, and can hold up to 36 dogs at a time. It costs the shelter $12 a week to keep a large dog and $7 a week to keep a small dog. The shelter must keep its weekly costs under $350. Which system of inequalities can be used to represent this situation?
Answer:
7x+12y<350
Step-by-step explanation:
7 times each small dog (x) plus 12 times each large dog (y) needs to be less than (<) 350
Which of these random samples represents a representative sample of the number of students who enjoy science class?
A. 30 students in the lunchroom.
B. 30 students who failed science class last year.
C. 30 students who received high grades in their science class last semester.
D. 30 students who participated in the science fair.
Answer: A. 30 students in the lunchroom.
Step-by-step explanation:
A representative sample simply refers to the sample that has same characteristics just like the population.
A random-based selection is regarded as a representative of the population. In this case, the random sample that represents a representative sample of the number of students who enjoy science class is "30 students in the lunchroom".
When the students in the lunchroom are chosen, then it's a representation of the entire students in the school. This is the best option when compared to other options as they don't represent the students entirely.
Answer:
30 students in the lunchroom
Step-by-step explanation:
Got it right on the test.
Mathema
8. Leg XY of the right triangle shown in the
diagram below is twice as long as
leg YZ.
Z
Y
х
If the area of the triangle is 36 cm?, what
is the length, in cm, of leg XY?
(1)
6
(2)
9
(3)
12
(4)
18
(5)
24
9514 1404 393
Answer:
(3) 12
Step-by-step explanation:
Let x represent the length of leg XY. Then the length of YZ is x/2 and the area of the right triangle is ...
A = 1/2bh
A = 1/2(x)(x/2) = x²/4
36 = x²/4 . . . . . use the given value for area
144 = x² . . . . . . multiply by 4
√144 = 12 = x . . . . . take the square root
The length of leg XY is 12 cm.
A recipe calls for 24 ounces of oil and 8 ounces of vinegar. Kim is making dressing with 12 ounces
of vinegar using the same ratio of oil to vinegar
How much oil should kin use?Complete the Table
Answer:
36 ounces.
Step-by-step explanation:
The ratio being 24:8 can be simplified to 3:1
Multiply the one (the vinegar) by a factor of 12
What happens to one side has to happen to the other
12(3:1)
36 ounces.
Answer:36
Step-by-step explanation:
Look Below. (Will give brianliest)
Answer:
what is your question friend? :)
$6300 is invested, part of it at 11% and part of it at 6%. For a certain year, the total yield is $533.00. How much was invested at each rate?
$___ was invested at 11%
Answer:
Invested at 11% : 3100
Invested at 6% : 3200
Step-by-step explanation:
let x= amount invested at 11%
let y= amount invested at 6%
we can write
Equation 1: x+y=6300
Equation2: .11x+.06y=533
Divide equation 2 by .06 to get
1.8333333x+y=8883.33333333
Subtract equation 2 from equation 1
.8333333x= 2583.33333333
x= 3100
Plug in x= 3100 into equation 1
3100+y= 6300
y= 3200
Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
To buy a car, you borrow $28,000 with a term of five years at an APR of 5%. What is your monthly payment? (Round your answer to the nearest cent.)
$
How much total interest is paid? (Round your answer to the nearest cent.)
$
9514 1404 393
Answer:
monthly payment: $528.39interest paid: $3,703.40Step-by-step explanation:
The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where the annual interest rate is r for t years on loan value P.
Filling in the given information, we find the monthly payment to be ...
A = $28000(0.05/12)/(1 -(1 +0.05/12)^(-12·5)) ≈ $528.39
The monthly payment is $528.39.
__
The total amount repaid is ...
($528.39/mo)(60 mo) = $31,703.40
The interest paid is the difference between this and the loan amount:
interest paid = $31,703.40 -28,000 = $3,703.40
The total interest paid is $3,703.40.
Find C.
Round to the nearest tenth.
20 ft)
22 ft
B
18 ft
А
Joes Enough income has been increasing each year by the same dollar meal the first year his income was $22,000 in the fourth year his income was $24,100 in which year was his income 33,900
Answer:
In the 23rd year his income was of $33,900.
Step-by-step explanation:
Joe's income has been increasing each year by the same dollar amount.
This means that his salary after t years is given by:
[tex]S(t) = S(0) + at[/tex]
In which S(0) is the initial salary and a is the yearly increase.
The first year his income was $22,000
This means that [tex]S(0) = 22000[/tex]. So
[tex]S(t) = S(0) + at[/tex]
[tex]S(t) = 22000 + at[/tex]
In the fourth year his income was $24,100
S(4) = 24100, and thus, we use this to find a.
[tex]S(t) = 22000 + at[/tex]
[tex]24100 = 22000 + 4a[/tex]
[tex]4a = 2100[/tex]
[tex]a = \frac{2100}{4}[/tex]
[tex]a = 525[/tex]
So
[tex]S(t) = 22000 + 525t[/tex]
In which year was his income 33,900
This is t for which S(t) = 33900. So
[tex]S(t) = 22000 + 525t[/tex]
[tex]33900 = 22000 + 525t[/tex]
[tex]525t = 11900[/tex]
[tex]t = \frac{11900}{525}[/tex]
[tex]t = 22.67[/tex]
Rounding up, in the 23rd year his income was of $33,900.
If the height of the tree trunk is 13 feet and the radius is 1.5 feet what is the volume in cubic feet round to the nearest 10th
Answer:
91.8 feet^3
Step-by-step explanation:
We can find out the area of a circle and then multiple that by the height to get the volume of the tree trunk (which is a cylinder).
Area of circle formula: pi x r^2
3.14 x 1.5^2 = 7.065
Now we can multiple it by the height and round to the nearest 10th.
7.065 x 13 = 91.845
91.845 -> 91.8
Hope this helps! Brainliest?
Answer:
Step-by-step explanation:
Givens
h = 13 feet
r = 1.5 feet
pi = 3.14
Equation
V = pi r^2 *h
V = 3.14 * 1.5^2 * 13
V = 91,8 cubic feet.
Out of 350 applicants for a job, 158 are female and 66 are female and have a graduate degree. Step 2 of 2 : If 110 of the applicants have graduate degrees, what is the probability that a randomly chosen applicant is female, given that the applicant has a graduate degree
Answer:
33/55
Step-by-step explanation:
Total applicants, n(T) = 350
Female applicants, n(F) = 158
Female and Graduate applicants, n(FnG) = 66
Graduates, n(G) = 110
Probability of female Given that applicant has graduate degree; this is a conditional probability problem;
Recall :
P(A given B) = P(A|B) = P(AnB) / P(B)
Therefore ;
P(F|G) = P(FnG) / P(G) = 66 / 110 = 33/55
Which expression is equivalent to:1/m6
Answer:
A
Step-by-step explanation:
6 is a power. So both C and D are wrong because 6 is being treated as an ordinary integer.
So the answer must be either A or B.
B is not correct because to move an expression from the denominator to the numerator changes the sign in the base (which is m in this question).
A is correct. the power is changed from 6 in the denominator to -6 in the numerator. m is shifted to the numerator as well.
pls help for both 12 and 13!!
Answer:
The answer to 12 is 40 cubic units
Step-by-step explanation:
The demand function of a product is q = 7,000 - 50p, where p is the price.
The cost function is given by C = 2,000 + 259. At what price is the break-even
Production attend?
Answer: 139.65 or 25.34.
Step-by-step explanation:
The revenue function will be:
= Price × Quantity
= P × (7,000 - 50p)
= 7000p - 50p²
The coat function is given as:
C = 2,000 + 25q
C = 2000 + 25(7000 - 50p)
C = 2000 + 175000 - 1250p
C = 177000 - 1250p
Then, we'll equate the revenue function to the cost function. This will be:
7000p - 50p² = 177000 - 1250p
-50p² + 7000p + 1250p - 177000 = 0
-50p² + 8250p - 177000 = 0
Divide through by -50
p² - 165 + 3540 = 0
Solving to get the value of P will then give us 139.65 or 25.34.
At Bill’s Burger Barn, every time you buy a burger there is a one in eight chance of winning a free burger. Nicholas bought a hamburger every day for five days. What is the probability that Nicholas wins 1 free hamburger this week?
Answer:
im not sure about this one but my answer is 0.025.
Step-by-step explanation:
if there is a 1 out of 8 chance of getting a free burger, convert that into 1/8. divide that by 5 and you get 0.025.
You used (formula in screenshot) when calculating variance and standard deviation. An alternative formula for the standard deviation that is sometimes convenient for hand calculations is shown below. You can find the sample variance by dividing the sum of squares by n-1, and the sample standard deviation by finding the square root of the sample variance. Complete parts (a) and (b) below.
Answer:
[tex]Varianve = 3.842[/tex]
[tex]SD = 1.960[/tex]
Step-by-step explanation:
Given
See attachment for data
First, calculate [tex]\sum x^2[/tex]
[tex]\sum x^2 = 18^2 + 17^2 +20^2 + 19^2 + 20^2 + 16^2 + 16^2 + 15^2 + 18^2+14^2 +19^2 + 19^2+18^2+17^2 + 16^2+20^2+16^2+18^2+14^2+20^2[/tex]
[tex]\sum x^2 = 6198[/tex]
Calculate [tex]\sum x[/tex]
[tex]\sum x = 18 + 17 +20 + 19 + 20 + 16 + 16 + 15 + 18+14 +19 + 19+18+17 + 16+20+16+18+14+20[/tex]
[tex]\sum x = 350[/tex]
So, we have:
[tex]SS_x = \sum x^2 -\frac{(\sum x)^2}{n}[/tex]
[tex]SS_x = 6198 -\frac{350^2}{20}[/tex]
[tex]SS_x = 6198 -\frac{122500}{20}[/tex]
[tex]SS_x = 6198 -6125[/tex]
[tex]SS_x = 73[/tex]
Solving (a): The variance
[tex]Varianve = \frac{SS_x}{n-1}[/tex]
[tex]Varianve = \frac{73}{20-1}[/tex]
[tex]Varianve = \frac{73}{19}[/tex]
[tex]Varianve = 3.842[/tex]
Solving (b): The standard deviation
[tex]SD = \sqrt{Variance}[/tex]
[tex]SD = \sqrt{3.842}[/tex]
[tex]SD = 1.960[/tex]
How to solve this?!?!? (5x+24)(9x+12) + (3x+9)(8x+6)(2x+7)
Answer and Step-by-step explanation:
First, multiply the parentheses, then add everything together.
-- (5x + 24)(9x + 12)
-- 45[tex]x^2\\[/tex] + 60x + 216x + 288 (Simplify)
-- 45[tex]x^2\\[/tex] + 276x + 288
--- (3x + 9)(8x + 6)
--- 24[tex]x^2\\[/tex] + 18x + 72x + 54 (Simplify)
--- 24[tex]x^2\\[/tex] + 90x + 54
---- (2x + 7)(24[tex]x^2\\[/tex] + 90x + 54)
---- 48[tex]x^{3}[/tex] + 180[tex]x^2\\[/tex] + 108x + 168[tex]x^2\\[/tex] + 630x + 378 (Simplify)
---- 48[tex]x^{3}[/tex] + 348[tex]x^2\\[/tex] + 738x + 378
----- 45[tex]x^2\\[/tex] + 276x + 288 + 48[tex]x^{3}[/tex] + 348[tex]x^2\\[/tex] + 738x + 378
----- 48[tex]x^{3}[/tex] + 393[tex]x^2\\[/tex] + 1014x + 666
48[tex]x^{3}[/tex] + 393[tex]x^2\\[/tex] + 1014x + 666 is the final answer.
#teamtrees #PAW (Plant And Water)
Answer:
[tex] \rm \displaystyle {48x}^{3} + 393 {x}^{2} +1014x + 660[/tex]
Step-by-step explanation:
we would like to simplify the following:
[tex] \rm \displaystyle (5x + 24)(9x + 12) + (3x + 9)(8x + 6)(2x + 7)[/tex]
there're two parts the multiplication the whole part to solve the multiplication part we can consider FOIL and for the whole, PEMDAS which can be represented as
[tex] \rm\displaystyle \rm \displaystyle \underbrace{\underbrace{(5x + 24)(9x + 12) } _{ \text{FOIL - 1}}+ \underbrace{ (3x + 9)(8x + 6)(2x + 7)} _{ \text{FOIL - 2}}} _{ \text{PEMDAS}}[/tex]
let's figure out FOIL-1 part
By FOIL we obtain:
[tex] \displaystyle {45x}^{2} + 60x + 216x + 288[/tex]
simplify addition:
[tex] \displaystyle {45x}^{2} + 276x+ 288[/tex]
let's figure out FOIL-2:
By FOIL and PEMDAS we acquire:
[tex] \rm \displaystyle {48x}^{3 } + {348x}^{2} + 738x + 378[/tex]
finally the whole part
[tex] \rm \displaystyle {45x}^{2} + 60x + 216x + 288+ {48x}^{3 } + {348x}^{2} + 738x + 378[/tex]
combine like terms:
[tex] \rm \displaystyle {48x}^{3} + 393 {x}^{2} +1014x + 660[/tex]
and we are done!
What is the result of subtracting the second equation from the first
I didn’t undertand the question... mayb ur attachment isnt added! Plz check!
Please help!
Suppose that a population parameter is 0.1 and many samples are taken from the population. If the size of each sample is 90, what is the standard error of the distribution of sample proportions? O A. 0.032 . B. 0.072 O C. 0.095 O D. 0.055 SUBMIT
Answer:
[tex]\text{A. 0.032}[/tex]
Step-by-step explanation:
Let [tex]\sigma_p[/tex] be the standard error of the distribution of sample proportions.
Formula:
[tex]\sigma_p=\sqrt{\frac{P(1-P)}{n}}[/tex], where [tex]P[/tex] is the population parameter and [tex]n[/tex] is sample size.
What we're given:
[tex]P[/tex] of 0.1[tex]n[/tex] of 90Substituting given values, we get:
[tex]\sigma_p=\sqrt{\frac{0.1(1-0.1}{90}},\\\sigma_p=\sqrt{\frac{0.1\cdot 0.9}{90}},\\\sigma_p=\sqrt{0.001}\approx\boxed{\text{A. 0.032}}[/tex]
Given: x - 6 ≤ 1. Choose the solution set.
Answer:
x<7
Step-by-step explanation:
See image below:)
Solve y = x + 6 for x.
Ox = y + 6
Ox= -y + 6
O x = y - 6
Ox= -y-6
Answer:
x = y - 6
Step-by-step explanation:
y = x + 6 (Given)
y - 6 = x (Subtracted 6 on both sides)
in a system of equations why is the intersection the solution
9514 1404 393
Answer:
It satisfies both equations.
Step-by-step explanation:
The points on the graph of an equation are the values of the variables that satisfy the equation (make it true).
In a system of equations, you're generally looking for values of the variables that satisfy all of the equations in the system. That is, the solution will be a point on the graph of every equation in the system.
For a point to be on more than one graph, it must lie at a point of intersection of the graphs. If all of the graphs of a system go through the point of intersection, that point satisfies all of the equations, so is a solution of the system of equations.
Is the triangle a right angle? Pythagorean Theorem.
Answer:
yes it is
Step-by-step explanation:
hopefully that helps
195ft i think because 10 x 19.5
because 39 divided by 2 is 19.5
so then 19.5 x 10 = 195ft