Answer:
y = -3/4x + 7/4
Step-by-step explanation:
For it to be parallel it needs the same slope. We can find this by putting the equation 3x + 4y = 2 into y = mx + b form and using the m.
3x+4y=2 can be written as y= -3/4x + 1/2
so the m for our new equation is -3/4
now to find b we just plug in the given point
y = -3/4x + b
4 = -3/4(3) + b
b = 4 + (-9/4)
b = 7/4 or b = 1.75
In ΔGHI, the measure of ∠I=90°, IG = 3.9 feet, and GH = 6.3 feet. Find the measure of ∠H to the nearest tenth of a degree.
Answer:
IG=28.9 ft
Step-by-step explanation:
we know that
In the right triangle GHI
----> by CAH )adjacent side divided by the hypotenuse)
substitute the given values
solve for IG
see the attached figure to better understand the problem
Answer:
H=38.2466≈38.2
Step-by-step explanation:
What is the distance between the points 3, 7 and 15, 6 on a coordinate plane
Answer:
[tex]D=\sqrt{145 }\\[/tex]
Step-by-step explanation:
We are actually using Pythagorean theorem here but to be simple
we can use the equation:
D(distance)=[tex]\sqrt{(x_{1}- x_{2} )^{2} +( y_{1}-y_{2})^{2}}[/tex]
=
[tex]D=\sqrt{(15-3)^{2}+(6-7)^{2} } =\\D=\sqrt{(12)^{2}+(-1)^{2} } =\\\\D=\sqrt{144+1 } =\\D=\sqrt{145 }\\[/tex]
(If you meant 16 instead of 6 the answer would be 15)
Hope this helps!
Answer:
distance = Sqrt((x2-x1)^2 +(y2-y1)^2)
Step-by-step explanation:
find the odd one in the series.835,734,842,761,853,981,532?
Answer:
835,761,853,981
Step-by-step explanation:
To find how long numbers are odd you look at the last number for example 835,5 is an odd number making the rest of the numbers odd.
Hope my explanation helped
We suspect the overall mean monthly rent of apartments in Shadyside is higher than in Oakland, so we survey a random sample of Oakland apartments, and a random sample of Shadyside apartments.
1. Which of the following is the most appropriate statistical test to use to determine if the overall mean monthly rent of apartments in Shadyside is higher than in Oakland?
a. Chi-squared test for independence
b. Inference for regression
c. Matched pairs t-test
d. ANOVA
e. Two-sample t-test
Answer:
e. Two-sample t-test.
Step-by-step explanation:
This is simply because you only have interval level of measure and you are comparing two populations.
Moreso, this hypothesis test is used to determine questions related to the mean in situations where data is collected from two random data samples. The two sample T-test is often used for evaluating the means of two variables or distinct groups, providing information as to whether the means between the two populations differs. It also can be used to compare the responses of males and females who have each received different treatment within an experiment.
One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from 1 (strongly agree) to 5 (strongly disagree). The table below contains ten of the paired responses for husbands and wives. Conduct a hypothesis test at the 5% level to see if the mean difference in the husband's versus the wife's satisfaction level is negative (meaning that, within the partnership, the husband is happier than the wife). Wife's score 2 2 3 3 4 2 1 1 2 4 Husband's score 2 1 2 3 2 1 1 1 2 4 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
(1)State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.)
(2)What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)
(3) What is the p-value? (Round your answer to four decimal places.)
(4)Alpha (Enter an exact number as an integer, fraction, or decimal.)
α =
Answer:
Step-by-step explanation:
Corresponding response ratings of wives and husbands form matched pairs.
The data for the test are the differences between the response ratings.
μd = the wives response ratings minus their husband's response ratings.
Wives. Husbands diff
2 2 0
2 1 1
3 2 1
3 3 0
4 2 1
2 1 1
1 1 0
1 1 0
2 2 0
4 4 0
Sample mean, xd
= (0 + 1 + 1 + 0 + 1 + 1 + + 0 + 0 + 0 + 0)/10 = 0.4
xd = 5.67
Standard deviation = √(summation(x - mean)²/n
n = 6
Summation(x - mean)² = (0 - 0.4)^2 + (1 - 0.4)^2 + (1 - 0.4)^2+ (0 - 0.4)^2 + (1 - 0.4)^2 + (1 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 = 2.4
Standard deviation = √(2.4/10
sd = 0.49
For the null hypothesis
H0: μd ≥ 0
For the alternative hypothesis
H1: μd < 0
1) The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 10 - 1 = 9
2) The formula for determining the test statistic is
t = (xd - μd)/(sd/√n)
t = (0.4 - 0)/(0.49/√10)
t = 2.581
3) We would determine the probability value by using the t test calculator.
p = 0.0148
4) Assume alpha = 0.05
Since alpha, 0.05 > than the p value, 0.0148, then we would reject the null hypothesis.
Therefore, at 5% significance level, we can conclude that the mean difference in the husband's versus the wife's satisfaction level is negative
How is 5,328 represented in expanded notation
Answer:
5000
300
20
8
would be your answer :)
Use the vertical line test to determine which graph does not repela function
Answer:
graph b
Step-by-step explanation:
if you put vertical lines through all graphs (this is the vertical line test) they shouldn't pass through more than one line, but in graph B it does. So B doesn't represent a function
Answer:
the answer is graph b
Step-by-step explanation:
Help please
The best answer gets brainliest.
why
do we use
quartz clock
Answer:
because see a time
Step-by-step explanation:
A triangular prism. The rectangular sides are 5 feet by 4 feet, 5 feet by 5 feet, and 5 feet by 3 feet. The triangular sides have a base of 4 feet and height of 3 feet. [Not drawn to scale] 60 square feet 72 square feet 82 square feet 84 square feet
Answer:
72ft²
Step-by-step explanation:
Calculate the area of each face and then sum them.
area of base = 4 × 5 = 20 ft²
area of back = 5 × 3 = 15 ft²
area of sloping face = 5 × 5 = 25 ft²
area of 2 triangular faces = 2 × × 4 × 3 = 4 × 3 = 12 ft²
Thus
surface area = 20 + 15 + 25 + 12 = 72 ft²
$5000 was invested into an account that earns an annual rate of 4.75%. If money is compounded monthly, how much will the account be worth after 3 years?
Answer:
$5764.14
Step-by-step explanation:
The future value formula is useful here.
FV = P(1 +r/n)^(nt)
where P is the principal invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.
FV = $5000(1 +.0475/12)^(12·3) = $5764.14
The account will be worth $5764.14 after 3 years.
Evaluate 15 + |-3| - 4
Those lines on both sides of the number means "absolute value." Those lines tell us that the number is positive no matter what. So:
15 + |-3| - 4 → 15 + 3 - 4
Remember to follow PEMDAS when solving.
(15 + 3) - 4
18 - 4
14
Therefore, the answer is 14.
Best of Luck!
Answer: 14
Step-by-step explanation: The vertical bars around the -3 mean that we take the absolute value of that number which is the positive version of that number.
So the absolute value of -3 would be 3.
So we have 15 + (3) - 4 which simplifies to 18 - 4 or 14.
Notice that I used parentheses when first getting rid of the absolute value signs. I think that this method will help you avoid confusion when simplifying absolute values.
It's a good habit to get into for future problems.
Angles R and S are complementary if m <R=65.3 what is the measure of <S?
Answer:
Step-by-step explanation:
if angles are complementary, that means they add up to 90º
if one is 65.3, then the other is just 90 - 65.3
<S = 90º - <R
<S = 90º - 65.3º
<S = 24.7º
Which statement about a sphere is true?
Answer:
it is 3D
Step-by-step explanation:
Answer:
Its 3 dimensional
Step-by-step explanation:
I took the test
Ryan earned money babysitting. He earned $40, $40, $51, $32 and $22. Find the mean amount he earned.
Answer:
37
Step-by-step explanation:
add all and divide
Answer:
$37
Step-by-step explanation:
Add the values in the data set:
40 + 40 + 51 + 32 + 22 = 185
There are 5 values in the data set.
Divide 185 by 5:
185 ÷ 5 = 37
The mean amount that Ryan earned should be $37 dollars.
Two lines intersect to form 4 angles. Angles 2 and 4 are vertical angles with angle 2 = 4x + 12 and angle 4 = 7x - 6. a) Find x. b) What is the measure of angle 2 ?
Answer:
Does this help?
Step-by-step explanation:
2 = 4x + 12 and angle 4 = 7x - 6
Use the slope-intercept form to find the slope and y-intercept.
Slope: 0
y-intercept: 4
Use the slope-intercept form to find the slope and y-intercept.
Slope: 0
y-intercept: 2
Use the slope-intercept form to find the slope and y-intercept.
Slope: 0
y-intercept: 4
Graph 2= 4x + 12
Slope: Undefined
y-intercept: No y-intercept
Plot each graph on the same coordinate system.
4=
2=
4=
2= 4x + 12
4= 7x − 6
need some assistance on this question.
Answer:
Surface area = [tex]2 \pi r^2 = 2 (12)^2 \pi in^2 = 288 \pi in^2[/tex]
Volume =[tex] 2/3 \pi r^3 = 2/3 (12)^3 \pi in^3 = 1152 \pi in^3[/tex]
Answer:
volume = 2/3πr³
2×π×12×12×12
3
1152π
surface area= 2πr²
2×π×12×12
288π
What is 9+10 please help I have 1 minute left, please
Answer:
21
Step-by-step explanation:
9 = 3*3
10 = 5*2
5*3 = 15
2*3 = 6
15 + 6 = 21
Renting a trailer for 4 days costs $84. Renting the trailer for 5 days costs $100. Using the
linear equation above that represents the (days, cost) which of the following choices
would be the cost for renting the trailer for 10 days?
Answer:
$210
Step-by-step explanation:
do 84/4 to find out money per day which is 21. 21 x 10 = 210
therefore 210 is the answer
What does up this mean?
Assignment
What is the point-slope form of a line that has a slope of 3 and passes through the point (-1,4)?
Answer:
y -4 = 3(x +1)
Step-by-step explanation:
The point-slope form of the equation of a line with slope m passing through point (h, k) is ...
y -k = m(x -h)
Your values for these parameters are ...
m = 3
(h, k) = (-1, 4)
Filling these into the form gives the equation you're looking for:
y -4 = 3(x +1)
Decide whether the relation defined by the graph to the right defines a function, and give the domain and range.
Does the graphed relation define a function?
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
D. [tex]d=\frac{C}{\pi }[/tex]
Step-by-step explanation:
C = πd
In order to solve for d, we need to divide both sides of the equation by πDoing so we get [tex]\frac{C}{\pi } =\frac{\pi d }{\pi }[/tex] This then simplifies to [tex]\frac{C}{\pi } =d[/tex]Megan's aquarium has a volume of 4,320 cubic inches.
Which could be the dimensions of the aquarium?
Select all that apply.
A 24 in. by 32 in. by 13 in.
B 18 in. by 24 in. by 10 in.
C 22 in. by 25 in. by 18 in.
D 12 in. by 15 in. by 24 in.
Answer:
B, and D.
Step-by-step explanation:
To calculate all of the possible dimensions, you multiply all of numbers in each letter to get the volume. If the volume in one of the letters equals 4,320 cubic inches, then that letter is one of your answers. For example, if you multiply for letter A, which includes the dimensions 24 in, 32 in, and 13 in, then you would get 9,984, which is not the same as 4,320.
Volume of a rectangular prism is 15.75 in.³ the base has an area 10.5 in.² what is the height of the prism?
Answer:
Volume of a rectangular prism is 15.75 in.³ the base has an area 10.5 in.²
We also have:
Volume of a rectangular prism (V) = base area x height
=> height = V/base area = 15.75/10.5 = 1.5 in
Hope this helps!
:)
Suppose Lorenzo and Neha are playing a game in which both must simultaneously choose the action Left or Right. The payoff matrix that follows shows the payoff each person will earn as a function of both of their choices. For example, the lower-right cell shows that if Lorenzo chooses Right and Neha chooses Right, Lorenzo will receive a payoff of 6 and Neha will receive a payoff of Neha Left RightLorenzo Left 8, 4 4, 5 Right 5, 4 6, 5The only dominant strategy in this game is for _________ (Neha/Lorenzo) to choose ______________(Right/Left)t .The outcome reflecting the unique Nash equilibrium in this game is as follows: Lorenzo chooses ___________ (Right/Left) and Neha chooses _________ (Right/Left) .
Answer:
In the field of economics, more specifically game theory, describes the interaction involving candidates where one cannot have an advantage over the other if the latter makes no change in their strategy - is referred to as the Nash Equilibrium.
The correct option has been inserted in the blank and underlined, please see below:
The only dominant strategy in this game is for Neha to choose Right.The outcome reflecting the unique Nash equilibrium in this game is as follows: Lorenzo chooses Right and Neha chooses Right.
Hope that answers the question, have a great day!
I need help so, please help
Answer:
4.2
Step-by-step explanation:
In a 45°45°90° triangle, the ratios of the sides to the hypotenuse is x : x√2
So if x√2 = 6, x = 3√2
3√2 is approximately 4.2
Hope this helps.
744-__=312+220 I m in need
Plot the vertices (-2, -8), (-2, 2), and (8, 2).
What is the last vertex of the rectangle?
What is the area of the rectangle?
square units
Answer:
(8, -8)100 square unitsStep-by-step explanation:
The diagonals of a rectangle have the same midpoint, so for points A, B, C, D, we must have ...
(A+C)/2 = (B+D)/2
D = A + C - B
D = (-2, -8) +(8, 2) -(-2, 2) = (-2+8+2, -8+2-2)
D = (8, -8)
__
The side lengths are 2-(-8) = 10, and 8-(-2) = 10. The area is the product of the side lengths, so is 10×10 = 100 square units.
_____
Comment on side lengths
When the end points of one side are on the same vertical line, the length of that side is the difference of y-coordinates. When the points lie on the same horizontal line, the side length is the difference of x-coordinates.
Answer:
the last vertex is (8,-8)
the area of the rectangle is 100 square units
Step-by-step explanation:
Which phrase represents the algebraic expression – 0472
the product of one-fourth and a number, plus seven
the product of seven and a number
the product of one-fourth and seven, plus a number
the product of seven and one-fourth