Answer:
The slope of line perpendicular to line q is 8/3.
Step-by-step explanation:
Given that:
Slope of a line q is -3/8
Slope is the steepness of any line.
Let,
x be the slope of line perpendicular to line q.
The product of slopes of two perpendicular lines is equal to -1.
[tex]\frac{-3}{8}x = -1[/tex]
Multiplying both sides -8/3
[tex]\frac{-8}{3}*\frac{-3}{8}x=-1*\frac{-8}{3}[/tex]
x = 8/3
Hence,
The slope of line perpendicular to line q is 8/3.
In one particular suburb, there are 5 families that own a boxer. If there are a total of
25 families that own a dog in general, then what percentage of dog owners have a boxer?
Round your answer to the nearest whole number if necessary.
Answer:
60%
Step-by-step explanation:
Explanation:
To get percentages, take the part of a population that is being specified and divided that by the whole population and multiply that value by
100
%
.
So there are
30
people that own boxers, this is the specific population that is being compared to the whole dog-owning population, which is comprised of
50
total families. So
30
50
can be reduced to
3
5
and that gives us
.6
When that value is multiplied by
100
%
, it gives us our percentage of
.6
⋅
100
%
=
60
The area of a rectangle is 2- 3/4 inch. ^2 If the length of the rectangle is 1/2 inch, what is the measurement of the width?
Answer:
The width of the rectangle = 1.15 inches
Step-by-step explanation:
Explanation:-
Given that the length of the rectangle = [tex]\frac{1}{2} inch[/tex]
The area of the rectangle = [tex]\frac{2.3}{4}[/tex] inch²
We have to find the width of the rectangle
The area of the rectangle = length × width
[tex]\frac{2.3}{4} = \frac{1}{2} X width[/tex]
⇒ 2 × 2.3 = 4× width
⇒ 4.6 = 4 w
⇒ w = 1.15 inches
Final answer:-
The width of the rectangle = 1.15 inches
imma look what dis is
Answer:
its loading but ill help!
Step-by-step explanation:
The radius of a circle is 11 ft. Find the circumference of the circle.
34.54 ft
69.08 ft
17.27 ft
25.14 ft
Answer:
69.12 ft
Step-by-step explanation:
The formula for circumference of a circle is 2πr
= 2 × 3.142× 11
= 69.12
Hence the circumference of the circle is 69.12 ft
Find the solution of the system of equations.
- 2x - 5y=-12
10x - 4y = 2
Answer:
[tex]x=1, y=2[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}-2x-5y=-12\\ 10x-4y=2\end{bmatrix}[/tex]
Isolate x for [tex]-\:2x\:-\:5y=-12[/tex]
[tex]-\:2x\:-\:5y=-12[/tex]
Add 5y to both sides.
[tex]-2x-5y+5y=-12+5y[/tex]
Simplify.
[tex]-2x=-12+5y[/tex]
Divide both sides by 2.
[tex]x=-\frac{-12+5y}{2}[/tex]
Substitute x for [tex]-\frac{-12+5y}{2}[/tex].
[tex]\begin{bmatrix}10\left(-\frac{-12+5y}{2}\right)-4y=2\end{bmatrix}[/tex]
Simplify.
[tex]\begin{bmatrix}-29y+60=2\end{bmatrix}[/tex]
Isolate y for [tex]-29y+60=2[/tex]
[tex]y=2[/tex]
Substitute y in [tex]-\frac{-12+5y}{2}[/tex] for 2.
[tex]x=-\frac{-12+5\cdot \:2}{2}[/tex]
Simplify.
[tex]x=1,\:y=2[/tex]
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A statistician chooses 27 randomly selected dates, and when examining the occupancy records of a particular motel for those dates, finds a variance of 34.34 and a standard deviation of 5.86 rooms rented. If the number of rooms rented is normally distributed, find the 95% confidence interval for the population standard deviation of the number of rooms rented. Interpret your interval in context.
Answer:
Confidence interval variance [21.297 ; 64.493]
Confidence interval standard deviation;
4.615, 8.031
Step-by-step explanation:
Given :
Variance, s² = 34.34
Standard deviation, s = 5.86
Sample size, n = 27
Degree of freedom, df = 27 - 1 = 26
Using the relation for the confidence interval :
[s²(n - 1) / X²α/2, n-1] ; [s²(n - 1) / X²1-α/2, n-1]
From the chi distribition table :
X²α/2, n-1 = 41.923 ; X²1-α/2, n-1 = 13.844
Hence,
[34.34*26 / 41.923] ; [34.34*26 / 13.844]
[21.297 ; 64.493]
The 95% confidence interval for the population variance is :
21.297 < σ² < 64.493
Standard deviation is the square root of variance, hence,
The 95% confidence interval for the population standard deviation is :
4.615 < σ < 8.031
The population variance of 95% confidence interval is [tex]4.615<\sigma<8.031[/tex] and this can be determined by using the given data.
Given :
Variance = 34.34Standard Deviation = 5.86Sample Size = 2795% confidence intervalFirst, determine the degree of freedom.
[tex]df = 27-1=26[/tex]
The determine the confidence interval using the below formula:
[tex]\left(\dfrac{s^2(n-1)}{X^2_{\alpha/2,(n-1) }}\right);\left(\dfrac{s^2(n-1)}{X^2_{(1-\alpha)/2,(n-1) }}\right)[/tex]
Now, using the chi distribution the above expression becomes:
[tex]\left(\dfrac{34.34\times 26}{41.923 }}\right);\left(\dfrac{34.34\times 26}{13.844 }}\right)[/tex]
Simplify the above expression.
(21.297 ) ; (64.493)
So, the population variance of 95% confidence interval is:
[tex]\begin{aligned}\\21.297&<\sigma^2<64.493\\4.615&<\sigma<8.031\\\end{alingned}[/tex]
For more information, refer to the link given below:
https://brainly.com/question/7635845
What’s the percentage as a decimal
Answer:
0.0006
Step-by-step explanation:
The city of Gainesville is trying to determine the average price for a gallon of gas. They randomly sampled 28 gas stations and found the sample mean to be $2.58 with a standard deviation of $0.09. Assume that all of the assumptions are met. Calculate a 95% confidence interval for the population mean gas price in Gainesville.
Answer:
The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.
Step-by-step explanation:
We have the standard deviation of the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 28 - 1 = 27
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0.52
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.052\frac{0.09}{\sqrt{27}} = 0.04[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is $2.58 - $0.04 = $2.54
The upper end of the interval is the sample mean added to M. So it is $2.58 + $0.04 = $2.62.
The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.
Can someone help me? Thank you!
Answer:
I believe that the one that is NOT true is Option, letter C. Pls mark brainliest.
Answer:The answer is D
Step-by-step explanation:The Line could intercept the x axis but Sometimes it can only intercept the x axis such as x=7 it only intercepts (7,0) and not (0, any real number.) so that is why that is the answer.
Also brainly pls.
20% of __________ is 21. PLS HELP
Answer:
105
Step-by-step explanation:
0.2(x)=21
x=21/0.2
x=105
I need help please.
Answer:
D 18 percent
Step-by-step explanation:
So a percent s out of a hundred and you have 50 so it is more easy to double everything and make it a hundred
the equation should be 18 is what percent of 100 which is the same thing as 18/100
18 divided by 100 is .18
Isabella is making a display board for the school trip. The display board is 2.50m by 2m rectangle. She needs to cover the entire display board with card. How much card would she needs?
Answer:
5m^2
Step-by-step explanation:
Given data
Length of board= 2.50m
Width of board= 2m
The cover need should have the same area as the board
Area= Length*Width
Area= 2.5*2
Area=5m^2
Hence the area of the cover is 5m^2
If you invested $250 at 16% interest, how much would you have after 18 years?
Answer:
4,000
Step-by-step explanation:
PLEASE HELP! i have by the end of the day to turn this in. PLEASE DONT GUESS
Answer: See step by step
Step-by-step explanation: Angle 2 and 3 are vertical angles since they both share a vertex and has cross intersecting lines. Angle 6 and 7 are supplementary angles because they forma linear pair.
Answer:
I have multiple answers for this.
Verticle Angles: 2 &4, 3&1, 6&8, 7&5
Supplementary Angles: 2&1, 2&3, 3&4, 1&4, 6&7, 7&8, 6&5, 5&8
Step-by-step explanation:
Verticle angles are aross from one another, not next to each other, while the Supplementary angles ARE next to each other and not across from one another. I hope this helps you :)
Which of the following lists of ordered pairs is a function?
O A. (2, 4), (0, 2), (2, -4), (5,3)
O B. (1,6), (2,7),(4,9), (0,5)
O c. (0, 2), (2, 3), (0, -2), (4,1)
O D. (1, 2), (1, -2), (3, 2), (3, 4)
Answer:
b
Step-by-step explanation:
Answer:
The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.
Step-by-step explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
Checking option A:
(2, 4), (0, 2), (2, -4), (5,3)
Here, the input x = 2 is repeated twice.
Thus, option A does not represent the function as the input x = 2 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.
Checking option B:
(1,6), (2,7),(4,9), (0,5)
It is clear that no input value is repeated. In other words, each input or x-value of the X set has a unique y-value or output of the Y set.
Thus, the option B represents the function.
Checking option C:
(0, 2), (2, 3), (0, -2), (4,1)
Here, the input x = 0 is repeated twice.
Thus, option C does not represent the function as the input x = 0 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.
Checking option D:
(1, 2), (1, -2), (3, 2), (3, 4)
Here, the input x = 1 is repeated twice, and also x = 3 is repeated twice,
Thus, option D does not represent the function as we can not have duplicated inputs as there should be only 1 output for each input.
Conclusion:
The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.
Determine which choice best shows the distributive property of multiplication.
Question 2 options:
1 × 6 = 6
6 × 9 = 9 × 6
6 × (9 + 8) = (6 × 9) + (6 × 8)
6 × (9 × 8) = (6 × 9) × 8
Answer:
c) 6× (9+8) = (6 × 9) + (6× 8)
Step-by-step explanation:
Distributive property of multiplication
The distributive property of multiplication
a(b+c) = a b + a c
(a+b)c = ac + bc
6× (9+8) = (6× 9) + (6×8)
The division property of equality could be used to solve which of the following equation
A. 5x=30
B. X/4=16
C. (X+2) (x-2)= 0
D. X+3=7
Please help me
Answer:
A
Step-by-step explanation:
5x = 30
divide both sides by 5:
x = 6
Which point is a solution to the equation 2x - y = 4?
Answer:
2x= 1 /2 y+ 2
Step-by-step explanation:
Solve for x.
2x−y=4
Add y to both sides.
2x−y+y=4+y
2x=y+4
Divide both sides by 2.
2x /2 = y+4 /2
x= 1/ 2 y+2
The required point that is the solution to the equation 2x - y = 4 is at (2, -4)
In order to get the solution to the equation, we will need to get its x and y-intercept.
x- intercept is the point where y is zero.
Given the equation 2x - y = 4
If y = 0
2x - 0 = 4
2x = 4
x = 4/2
x = 2
Get the y-intercept
y intercept is the point where x = 0
if x = 0
2(0) - y = 4
-y = 4
y = -4
Hence the y-intercept is -4
The required point that is the solution to the equation is at (2, -4)
Learn more here: https://brainly.com/question/24609929
Combine the like terms to create an equivalent expression. \large{7k-k+19}7k−k+19
Answer:
The simplified expression is 6k+19 .
Step-by-step explanation:
Use the quadratic formula to find the solutions for
y = 3x^3 + 8x - 1
Answer:
Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]
Step-by-step explanation:
We need to use the quadratic formula to find the solutions for
[tex]y = 3x^2 + 8x - 1[/tex]
(Note: quadratic formula is used when x^2 is in the equation. So considering 3x^2 instead of 3x^3)
The quadratic formula is: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
From the given equation [tex]y = 3x^3 + 8x - 1[/tex] we have a =3, b=8 and c =-1
Putting values in the formula and finding solutions:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-8\pm\sqrt{(8)^2-4(3)(-1)}}{2(3)}\\x=\frac{-8\pm\sqrt{64+12}}{6}\\x=\frac{-8\pm\sqrt{76}}{6}\\x=\frac{-8\pm8.71}{6}\\x=\frac{-8+8.71}{6}\:or\:x=\frac{-8-8.71}{6}\\x=0.119\:or\:x=-2.785[/tex]
So, Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]
Mr. Marlon pays minimum wage to the cashiers in his store. If minimum wage is $7.25 per hour, how much does a cashier make who works 40 hours per week?
Answer:
$290
Step-by-step explanation:
Because 7.25×40=290
what is-56 divided by +7 ?
Answer:
-8
Step-by-step explanation:
please help me
thank
Answer:B,C and E
Step-by-step explanation:
A rectangular prism is 12 cm long 6 cm wide and 5 cm high what is the volume of the rectangular
9514 1404 393
Answer:
360 cm³
Step-by-step explanation:
The volume is the product of the given dimensions:
V = LWH
V = (12 cm)(6 cm)(5 cm) = 360 cm³
Many newspapers carry a certain puzzle in which the reader must unscramble to form words. how many ways can the letters LEZBA be arranged?
what is the slope intercept form of 7x-5y=15?
Answer:
y=7/5x-3 is the slope intercept form
PLSSS HELP NOW I WILL GIVE BRAINLIEST WHO EVER ANSWERS THIS QUESTION
Answer:
√6: 2.44
Step-by-step explanation:
first one since it's closer to the square root of 6
2. Robert has three jobs. He worked at Young's Grocery and earned $5,805. He was a waiter at the A & B Restaurant and earned $12,445. He also earned $56,002
working for CCD Communications. Each employer took out 6.2% for Social Security. How much did Robert pay in Social Security?
Answer:
Robert paid $4,603.6 in Social Security.
Step-by-step explanation:
Robert total earnings:
$5,805 at Young's Grocery.
$12,445 at A&B Restaurant.
$56,002 at CCD Communications.
So his total earnings are of:
5805 + 12445 + 56002 = $74,252
How much did Robert pay in Social Security?
6.2%, that is, 0.062 of $74,252. So
0.062*74252 = $4,603.6
solve for da x in 2x+3=7 :>
Answer:
x = 2Step-by-step explanation:
Given
2x+3=7Solve for x
2x = 7 - 32x = 4x = 4/2x = 2Answer:
2
Step-by-step explanation:
first answer deleted by moderator... even when it was correct... i did more explaining on that one, but they kindly deleted my answer and didn't even show my full answer after they had deleted it like some other moderators do which i always appreciate.
Which expression means the same as "25 less that 5y"
Answer:5y-25
Step-by-step explanation:
Answer:
5y - 25
Step-by-step explanation:
that expression shown 25 less than 5y
hope this helps...