Answer:
Direct variation
[tex]k = 2.5[/tex]
Step-by-step explanation:
Given
The attached table
Required
The type of variation
First, we check for direct variation using:
[tex]k = \frac{y}{x}[/tex]
Pick corresponding points on the table
[tex](x,y) = (-2,-5)[/tex]
So:
[tex]k = \frac{-5}{-2} = 2.5[/tex]
[tex](x,y) = (4,10)[/tex]
So:
[tex]k = \frac{10}{4} = 2.5[/tex]
[tex](x,y) = (6,15)[/tex]
So:
[tex]k = \frac{15}{6} = 2.5[/tex]
Hence, the table shows direct variation with [tex]k = 2.5[/tex]
What is the factored form of 125a^6-64?
Answer:
(5 a^2 - 4) (25 a^4 + 20 a^2 + 16)
Step-by-step explanation:
Since both terms are perfect cubes, factor using the difference of cubes formula,
a^3 − b^ 3 = (a − b) (a^2 + a b + b^2) where a = 5a^2 and b = 4 .
p{x:x is a natural number x (9
Answer:
you need a photo my dude
Step-by-step explanation:
please help will mark brainly. *personal finance*
Answer:
{B} travelling costs paid in connection with a temporary work assignment
The pre-image, ΔSTU, has undergone a type of transformation called a rigid transformation to produce the image, ΔVWX. Compare the measures of the triangles by dragging the image to the pre-image.
Which measures are equal? Check all that apply.
ST = VW
SU = VX
TU = WX
m∠SUT = m∠VXW
m∠TSU = m∠WVX
m∠UTS = m∠XWV
Answer:
its all of them
Step-by-step explanation:
since its the same shape as the old one all the measurements are the same.
Answer:
its all of them
Step-by-step explanation:
I WILL MARK THE ANSWER AS BRAINLIEST BE CORRECT BEFORE YOU ANSWER PLEASE
LOOK AT THE PROBLEM
Answer:
yes I look this problem in this figure
Hi I need help with fraction
1
_ x 10
8.
Answer:
The answer is 1 1/4 or 5/4
Step-by-step explanation:
1/8 · 10 = 10/8
10/8 when simplified is 5/4
What is the smallest three-digit number that is divisible by 3? Explain how you know without multiplying or dividing.
Find the imagine of (x-1 ,y -8 )
Answer:
triangle KLM
Step-by-step explanation:
x-1 meaning subtractikn so u subtract l from its original x cord making it move left 1
y-8 same thing but for the y making it move down 8 spaces
Find the distance between the two points.
(3,-9) and (-93,-37)
Answer:
d(A,B)=100
Step-by-step explanation:
The distance between two points A([tex]x_A,y_A[/tex]) and B=([tex]x_B,y_B[/tex]) is:
d(A,B)=[tex]\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}[/tex]
In this case:
[tex]x_B = - 93\\x_A = 3\\y_B = -37\\y_A = -9[/tex]
In this case:
[tex]d(A,B)=\sqrt{( - 93 -3)^2+( - 37 - (-9))^2} =\\=\sqrt{( - 96)^2+(-28)^2} =\\=\sqrt{9.216+784} \\=\sqrt{10000}=\\=\sqrt{10^4} =\\=100[/tex]
Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If there are an infinite number of solutions, enter the general solution in terms of x, where x is any real number.)
20x − 80y = 100
−14x + 56y = −70
(x, y) =
Answer:
The system has an infinite set of solutions [tex](x,y) = (x, \frac{x-5}{4})[/tex]
Step-by-step explanation:
From the first equation:
[tex]20x - 80y = 100[/tex]
[tex]20x = 100 + 80y[/tex]
[tex]x = \frac{100 + 80y}{20}[/tex]
[tex]x = 5 + 4y[/tex]
Replacing on the second equation:
[tex]-14x + 56y = -70[/tex]
[tex]-14(5 + 4y) + 56y = -70[/tex]
[tex]-70 - 56y + 56y = -70[/tex]
[tex]0 = 0[/tex]
This means that the system has an infinite number of solutions, considering:
[tex]x = 5 + 4y[/tex]
[tex]4y = x - 5[/tex]
[tex]y = \frac{x - 5}{4}[/tex]
The system has an infinite set of solutions [tex](x,y) = (x, \frac{x-5}{4})[/tex]
A philosophy professor assigns letter grades on a test according to the following scheme. A: Top 12% of scores B: Scores below the top 12% and above the bottom 57% C: Scores below the top 43% and above the bottom 19% D: Scores below the top 81% and above the bottom 5% F: Bottom 5% of scores Scores on the test are normally distributed with a mean of 66.5 and a standard deviation of 9.9. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.
Answer:
The minimum score required for an A grade is 80.
Step-by-step explanation:
According to the Question,
Given That, A philosophy professor assigns letter grades on a test according to the following scheme.A: Top 12% of scores
B: Scores below the top 12% and above the bottom 57%
C: Scores below the top 43% and above the bottom 19%
D: Scores below the top 81% and above the bottom 5%
F: Bottom 5% of scores Scores on the test
And The normally distributed with a mean of 66.5 and a standard deviation of 9.9.
Now,
In a set with mean and standard deviation, the Z score of a measure X is given by Z = (X-μ)/σwe have μ=66.5 , σ=9.9
Find the minimum score required for an A grade.Top 12%, so at least the 100-12 = 88th percentile, which is the value of X when Z has a p-value of 0.88. So it is X when Z = 1.175.
⇒ Z = (X-μ)/σ
⇒ 1.175×9.9 = X-66.5
⇒ X=78.132
Rounding to the nearest whole number, the answer is 80.
The minimum score required for an A grade is 80.
There are 16 tablespoons in one cup. Which table correctly relates the number of cups to the number of tablespoons?
Answer:
The first table.
Step-by-step explanation:
1 cup = 1 * 16 = 16 tablespoons
2 = 2 * 16 = 32
3 = 3*16 = 48
4 = 4*16 = 64 and so on....
(c) Construct a 99% confidence interval for u if the sample
size, n, is 35.
Answer:
The confidence interval is [tex](\overline{x} - 1.99\frac{\sigma}{\sqrt{35}}, \overline{x} + 1.99\frac{\sigma}{\sqrt{35}})[/tex], in which [tex]\overline{x}[/tex] is the sample mean and [tex]\sigma[/tex] is the standard deviation for the population.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
In this question:
[tex]M = 1.99\frac{\sigma}{\sqrt{35}}[/tex]
The lower end of the interval is the sample mean subtracted by M, while upper end of the interval is the sample mean added to M. Thus, the confidence interval is [tex](\overline{x} - 1.99\frac{\sigma}{\sqrt{35}}, \overline{x} + 1.99\frac{\sigma}{\sqrt{35}})[/tex], in which [tex]\overline{x}[/tex] is the sample mean and [tex]\sigma[/tex] is the standard deviation for the population.
jeremy drove to work with the average speed of 42 miles per hour. if he had driven with the speed of 48 mph, he would have arrived 10 minutes earlier. how far is it from his home to work?
9514 1404 393
Answer:
56 miles
Step-by-step explanation:
Let d represent the distance in miles. Then the drive time in hours is ...
d/42 = d/48 +10/60
8d = 7d +56 . . . . . . . . multiply by 336
d = 56
The distance from Jeremy's home to work is 56 miles.
_____
At 42 mph, his commute time is 1 hour 20 minutes.
Which of the following are exterior angles? Check all that apply.
Answer:
B. <4
D. <5
Step-by-step explanation:
Exterior angle is the angle found outside the triangle. In the diagram given, angle 5 and angle 4 are located outside of the triangle, therefore, the exterior angles in the diagram given are <4 and <5.
solve the following system of equations with the help of matrix ::. x-2y-4=0 & -3x+5y+7=0
Answer:
(x, y) = (-34,-19)
Step-by-step explanation:
...................................................
PLEASE HELP ASAP !! WILL MARK BRAINLIEST
I think it might be the 3rd option
Step-by-step explanation:
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 39 beats per minute, the mean of the listed pulse rates is x=76.0 beats per minute, and their standard deviation is s=13.8 beats per minute. a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 39 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 39 beats per minute significant
Answer:
a) The difference is of -37, that is, this pulse rate is 37 beats per minute below the mean.
b) 2.68 standard deviations below the mean.
c) Z = -2.68.
d) Z-score below -2, so a pulse rate of 39 beats per minute is significantly low.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the females?
Difference between 39 and 76, so 39 - 76 = -37.
The difference is of -37, that is, this pulse rate is 37 beats per minute below the mean.
b. How many standard deviations is that [the difference found in part (a)]
Standard deviation of 13.8, so:
-37/13.8 = -2.68
So 2.68 standard deviations below the mean.
c. Convert the pulse rate of 39 beats per minutes to a z score.
2.68 standard deviations below the mean, so Z = -2.68.
d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 39 beats per minute significant?
Z-score below -2, so a pulse rate of 39 beats per minute is significantly low.
Which of the following best represents the linear regression equation for the X values and log Y values of the data shown below
Answer:
y=103.13x - 183.98
Step-by-step explanation:
Given the data :
To obtain the linear equation which best fits the data ; we could perform a linear regression analysis using a technology to obtain a best fit line.
The linear regression Equation obtained by using technology is :
y=103.13x - 183.98
Where ;
Slope = 103.13
Intercept = - 183.98
y = response variable
x = predictor variable
Answer:
A
Step-by-step explanation:
the answer is A just completed it
determine the 2nd and 3rd terms of a geometric sequence of which T1 =5 and T4=40
Answer:
Second term of this sequence: [tex]10[/tex].
Third term of this sequence: [tex]20[/tex].
Step-by-step explanation:
The first step is to find the common ratio of this sequence.
In a geometric sequence, multiply one term by the common ratio to find an expression for the next term. Let [tex]r[/tex] denote the common ratio of this sequence. For this sequence:
The first term of this sequence is [tex]5[/tex]. Multiply the first term by the common ratio to find an expression for the third term: [tex]5\, r[/tex].Multiply the second term by the common ratio to find an expression for the fourth term: [tex]5\, r^{2}[/tex].Similarly, an expression for the the fourth term would be: [tex]5\, r^{3}[/tex].However, the question states that the value of the fourth term is [tex]40[/tex]. In other words, [tex]5\, r^{3} = 40[/tex].
Solve this equation for [tex]r[/tex]:
[tex]r^{3} = 8[/tex].
[tex]r = 2[/tex].
(Since the power of [tex]r[/tex] is non-even in the equation, there's no need to consider the sign of [tex]r\![/tex] when taking the cube root.)
Substitute [tex]r = 2[/tex] into the expression for the second term and the third term to find their values:
Second term: [tex]5\, r = 10[/tex].Third term: [tex]5\, r^{2} = 20[/tex].work out the area of this shape
Answer:
75.5
Step-by-step explanation:
First, the picture is not to scale.
The Area of the bottom (2) rectangle is 33
base x height = A
11 x 3 = 33 (where did I get 3? Total height of shape is 8. Trapezoid is 5)
(8-5 = 3)
Area of the trapezoid:
A = [tex]\frac{h (B_{1} + B_{2}) }{2}[/tex]
= [tex]\frac{(5)(6 + 11)}{2}[/tex]
= [tex]\frac{5(17)}{2}[/tex]
= [tex]\frac{85}{2}[/tex]
= 42.5
42.5 + 33 = 75.5
We have two circles A and X. The radius and perimeter of the circle A are b and c respectively.
The radius and perimeter of the circle X are y and z respectively. Consider the following ratios
K=c/b and L=Z/y.
Which of the following statements is true? *
K>L
K
K=L
K=2L
Answer:
[tex]K = L[/tex]
Step-by-step explanation:
Given
Circle A
[tex]r = b[/tex] --- radius
[tex]p = c[/tex] ---- perimeter
Circle B
[tex]r = y[/tex] --- radius
[tex]p =z[/tex] --- perimeter
[tex]K = \frac{c}{b}[/tex]
[tex]L = \frac{z}{y}[/tex]
Required
Select the true option
The perimeter of a circle is:
[tex]Perimeter = 2\pi r[/tex] ------ the circumference
So, we have:
[tex]c = 2\pi b[/tex] --- circle A
[tex]z = 2\pi y[/tex] --- circle B
Calculate K
[tex]K = \frac{c}{b}[/tex]
[tex]K = \frac{2\pi b}{b}[/tex]
[tex]K = 2\pi[/tex]
Calculate L
[tex]L = \frac{z}{y}[/tex]
[tex]L = \frac{2\pi y}{y}[/tex]
[tex]L = 2\pi[/tex]
So, we have:
[tex]K = L = 2\pi[/tex]
Which statement about y=x^2-14x+45 is true
8th Grade Which expression is equivalent to 1/27
Answer:
[tex]( \frac{1}{3})^{3} [/tex]
Step-by-step explanation:
There are many expressions that can be equivalent to 1/27.
For example, 2/54, 3/81 etc
But I think the expression you are looking for is
[tex] \frac{1}{27} = \frac{1 \times 1 \times 1}{3 \times 3 \times 3} = \frac{ {1}^{3} }{ {3}^{3} } = ( \frac{1}{3} )^{3} [/tex]
Hope this is helpful
The standard form of an absolute value function is R(x) = a|x-h|+k Which of the following represents the vertex?
o (-k,h)
o (-1,K)
o (k,h)
o (h,k)
Answer:
o (h,k)
Step-by-step explanation:
help pls, i need help pls
9514 1404 393
Answer:
no
Step-by-step explanation:
For lines to be parallel, any obtuse angle where a transversal crosses must be supplementary to any acute angle at that transversal. Here the sum of the obtuse and acute angles is 105° +65° = 170°, so it is not possible for this geometry to include parallel lines.
a. 23 = -11 - 4x
b. 23 = -11 + (-4x)
C. 23 + 11 = -11 + (-4x) + 11
d. 23 + 11 = -11 + 11 +(-4x)
e. 34 = - 4x
f. 34/-4 = -4x/ -4
g. -8.5 = x
Which properties of equality justify steps c and f?
A.) addition property of equality; subtraction property of equality B.) addition property of equality; division property of equality C.) subtraction property of equality; multiplication property of equality D.) multiplication property of equality; division property of equality
Answer:
B.) addition property of equality; division property of equality
2 The product of two numbers is 5425. If one of them is 25. What is the other 2 number
Answer:
217
Step-by-step explanation:
5425/25 = 217
At a certain gas station, 40% of the customers use regular gas (A1), 35% use plus gas (A2), and 25% use premium (A3). Of those customers using regular gas, only 10% fill their tanks (event B). Of those customers using plus, 20% fill their tanks, whereas of those using premium, 30% fill their tanks.
Required:
a. What is the probability that the next customer will request plus gas and fill their tank ?
b. What is the probability that the next customer fills the tank ?
c. If the next customer fills the tank, what is the probability that the regular gas is requested?
Answer:
Remember that for an event with a percentage probability X, the probability is given by:
P = X/100%
a) What is the probability that the next customer will request plus gas and fill their tank ?
We know that 35% of the customers use plus gas, and of these using plus, 20% fill their tank.
So the probability that the next customer uses plus gas is:
p = 35%/100% = 0.35
And the probability that the customer fills the tank (given that the customer uses plus gas) is:
q = 20%/100% = 0.2
The joint probability is just the product between the individual probabilities:
Then the probability that the next customer uses plus gas and fills their tank is:
P = 0.35*0.2 = 0.07
b) What is the probability that the next customer fills the tank?
We know that 20% of the ones that use plus gas (with a probability of 0.35) fill their tank, 10% of these that use regular gas (with a probability of 0.4) and 30% of these that use premium (with a probability of 0.25) fill their tank,
Then the probability is computed in a similar way than above, here the probability is:
P = 0.2*0.35 + 0.1*0.4 + 0.3*0.25 = 0.185
The probability that the next customer fills the tank is 0.185
c) If the next customer fills the tank, what is the probability that the regular gas is requested?
Ok, now we already know that the customer fills the tank.
The probability that a customer uses regular and fills the tank, is
p = 0.1*0.4
The probability that a customer fills the tank is computed above, this is:
P = 0.185
The probability, given that the customer fills the tank, the customer uses regular gas, is equal to the quotient between the probability that the customer fills the tank with regular and the probability that the customer fills the tank, this is:
Probability = p/P = (0.1*0.4)/(0.185) = 0.216
If the domain of a function that is rotated 90 degrees counter-clockwise is (0, 0), (3, 5), (-1, 4), what is the range?
A. (0, 0), (5, 3), (4, -1)
B. (0, 0), (5, -3), (4, 1)
C. (0, 0), (-3, -5), (1, -4)
D. (0, 0), (-5, 3), (-4, -1)
Answer:
the answer is B. (0,0) (5,-3) (4,1)
please mark me brainlist
Step-by-step explanation:
Answer:
Your answer is
Step-by-step explanation:
Your answer is B.(0, 0), (5, -3), (4, 1)