Answer:
The equation of the line is:
[tex]y=\frac{1}{4}x+\frac{37}{4}[/tex]Step-by-step explanation:
Given the points
(-5, 8)(-1, 9)Finding the slope between the points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-5,\:8\right),\:\left(x_2,\:y_2\right)=\left(-1,\:9\right)[/tex]
[tex]m=\frac{9-8}{-1-\left(-5\right)}[/tex]
[tex]m=\frac{1}{4}[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 1/4 and the point (-5, 8)
[tex]y-8=\frac{1}{4}\left(x-\left(-5\right)\right)[/tex]
[tex]y-8=\frac{1}{4}\left(x+5\right)[/tex]
Add 8 to both sides
[tex]y-8+8=\frac{1}{4}\left(x+5\right)+8[/tex]
[tex]y=\frac{1}{4}x+\frac{37}{4}[/tex]
Thus, the equation of the line is:
[tex]y=\frac{1}{4}x+\frac{37}{4}[/tex]PLEAS HELP ME!!!!!!!!!!!!!!!!Use a unit rate to find the unknown value.
52/13, 12/?
Answer:
1. 40/8 = 45/9
2. 42/14 = 15/5
3. 14/2 = 56/8
4. 8/4 = 26/13
Step-by-step explanation:
If 3x + 2y = 10 and 2x + 3y = 15, find the value
of x+y.
Answer:
x+y=5
Step-by-step explanation:
Isolate y in the first equation:
3x+ 2y = 10
2y = 10 - 3x
y= (10 - 3x)/2
substitute this value of y into the second equation:
2x + 3 ((10 - 3x)/2) = 15
now solve for x:
2x + 3/2 (10 - 3x) =15
2x + 15 - 9/2x = 15
-5/2 x = 15 - 15
-5/2 x / (-5/2) = 0/(-5/2)
x=0
now use this value to solve for y:
y = (10 - 3(0))/2
y = 10/2
y = 5
now x+y
0+5=5
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and the denominator. 12 mi to 28 mi
Answer:
3/7
Step-by-step explanation:
12 ÷ 4
28 ÷ 4
Write as quotient of powers.
Answer:
I said C on my test but I'm pretty sure its right
What postulate/theorem can be used to prove the following triangles congruent?
Answer:
ASA
Step-by-step explanation:
since 2 angles and 1 side is the same, the triangles are congruent by the ASA theorem
WILL GIVE BRAINLIEST
Answer:
Infinitely many solutions.
Step-by-step explanation:
The two sides are the exact same therefore x can be anything
Answer:
infinitely many solutions
Step-by-step explanation:
6(x + 4) - 8 = 6x - 16
6x + 24 - 8 = 6x - 16
6x - 16 = 6x - 16
6x = 6x
x = x
RHS = LHS
Therefore, x can be any real number.
If you double the radius of a circle, then you will quadruple the circumference of the circle
Answer:
False
Step-by-step explanation:
No options is attached to the question. However, I'll assume it's a true or false question.
Represent the radius with r.
The circumference is calculated as:
X = 2πr
When the radius is doubled, the new radius R is
R = 2r
And the new circumference, C is:
C = 2πR
Substitute 2r for R
C = 2π * 2r
C = 4πr
Factorize the above equation.
C = 2 * 2πr
Recall X = 2πr;
The expression becomes:
C = 2 * X
C = 2X
This means that the circumference is doubled, not quadrupled.
Hence, the statement is false.
at a deli counter, someone bought 1.6 pounds of ham for 14.50. How much will it cost per one pound
Answer:
approx. 9.06 for one pound
Step-by-step explanation:
What is the value
-3/2(24 - 5 1/3 )
A. -44
B. 32 1/6
C. -41 1/3
D. -28
A shoe company wants to test an updated model of a running shoe on its wear after one month of running. They recruit 50 people who run on a regular basis to participate in the study. They will have the runners wear the shoes when they run for two months. After two months, the wear on the shoes will be determined using the depth of the tread and flexibility of the toe box. The wear between the new model and the original model will then be compared. The company decides to use a matched pairs design and devises two options.
Option A: The 50 subjects are paired based on running ability. The fastest two runners are paired together, the next fastest two, etc. For each pair of runners, the researcher will flip a coin. If the coin lands on heads, then the first runner will receive the new model of shoes and the second runner will receive the original model. If the coin lands on tails, the first runner will receive the original model of shoes and the second runner will receive the new model. After 2 months of use, the difference in wear for the pairs of runners will be determined.
Option B: The 50 subjects will each receive both models of shoes. At the beginning, the runner will flip a coin, and if it lands on heads, they will wear the new model on their right foot and the original model on their left foot. Then after one month, they will change and use the new model on their left foot and the original model on their right foot. After the second month, the wear for each model will be determined and compared for the 50 runners.
Which option should the shoe company use to compare the two models?
A: The runners are paired based on their running ability. This will provide an accurate comparison for the difference in wear between the original model and the new model.
B: Each runner varies with respect to multiple variables. Each runner should use both models to account for their individual differences. This will provide an accurate comparison for the difference in wear between the models.
Both A and B: Both provide an accurate comparison for the difference in wear between the original model and the new model. The runners are paired in option A based on running ability, and each runner uses both models in option B.
Neither A nor B: Neither provides an accurate comparison to determine the difference in wear for the two models. This experiment should be a randomized block design.
Answer:
B: Each runner varies with respect to multiple variables. Each runner should use both models to account for their individual differences. This will provide an accurate comparison for the difference in wear between the models.
Step-by-step explanation:
Since the shoe company wants to test the wear of the shoes after two months, it means that option B will be the most accurate.
This because everybody has peculiarities in the bodies and also running patterns. These could have an effect on either of their legs. Thus, having to wear a new one on one leg and the original one on another leg for a month and then replacing with the second leg of both for the other month would be the best way to know the true effect of wear on the shoes because they have both been subject to same conditions within exactly the same timeframe.
Answer:
B
Step-by-step explanation:
got it right
Please help thank you..
Solve the following equation:
3x^2= -12
Picture above of the options.^
Answer:
Step-by-step explanation:
option d
which is the galaxy is the closest to our galaxy at the moment
divide partial quotient 308 divide by 4
Answer:
77 is the answer your welcome
Please answer ASAP. Also please explain because even though I put it on here I still want to know how to do it. Tysmm
9514 1404 393
Answer:
see below
Step-by-step explanation:
First row
Fill in the given x-value and solve for y:
3(-4) +2y = -6
-12 +2y = -6
-6 +y = -3 . . . . . divide by 2
y = 3 . . . . . . . . . add 6
__
Second row
Fill in the given y-value and solve for x:
3x +2(0) = -6
x = -2 . . . . . . . . . divide by 3
What is the function written in vertex form?
f(x) = 4(x + 6)2 + 10
f(x) = 4(x + 6)2 – 26
f(x) = 4(x + 6)2 – 134
f(x) = 4(x + 6)2 + 154
Answer:
(C) f(x) = 4(x + 6)2 – 134
Step-by-step explanation:
edge 2022
Help with question 2
Answer:
x = 97
Step-by-step explanation:
Question 2:
Recall that, the sum of all 4 angles in a quadrilateral = 360°.
This means that all the interior angles of the quadrilateral given above would sum up to 360°.
To find the value of x, create an equation by adding all the interior angles and set the sum equal to 360°.
Thus:
(x + 10) + x + 59 + x = 360°
Add like terms
3x + 69 = 360
3x + 69 - 69 = 360 - 69
3x = 291
3x/3 = 291/3
x = 97
What is needed to prove the triangles are congruent?
Answer:
l ×b length ×breadth or h×b height ×breadth only this much or if you have other formula plz send me plz and what your name
Answer:
To prove triangles are congruent (equal) you must show that corresponding sides have the same measure as well as corresponding angles having the same number of degrees.
Step-by-step explanation:
Answer: You need to show that the measure of angle G is equal to the measure of angle T.
12
Type the correct answer in the box. Use numerals instead of words.
What is the solution to this equation?
7-32 - x = 12
The solution is I =
Reset
Next
May you please answer this question i tried to answer but failed miserably
Answer:
I think it is postive
A fair coin is tossed 20 times. The probability of getting the three or more heads in a row is 0.7870 and the probability of getting three or more heads in a row or three or more tails in a row is 0.9791.2
What is the probability of getting three or more heads in a row and three or more tails in a row?
Answer:
The value is [tex]P( H \ n \ T ) = 0.6049[/tex]
Step-by-step explanation:
From the question we are told that
The number of times is n = 20
The probability of getting three or more heads in a row is [tex]P(H) = 0.7870[/tex]
The probability of getting three or more heads in a row or three or more tails in a row is [tex]P(H \ u \ T ) = 0.9791[/tex]
Generally given that it is a fair coin , then [tex]P(H) = P(T) = 0.7870[/tex]
Here P(T) is probability of getting three or more tails in a row
Generally the probability of getting three or more heads in a row and three or more tails in a row is mathematically represented as
[tex]P( H \ n \ T ) = P(H) + P(T) - P( H \ u \ T )[/tex]
=> [tex]P( H \ n \ T ) = 0.7870 + 0.7870 - 0.9791[/tex]
=> [tex]P( H \ n \ T ) = 0.6049[/tex]
Which shows the equation below written in the form ax^2+bx+c=0 ? x^2+8x+10=3
Answer:
[tex]\boxed {\boxed {\sf x^2+8x+7=0}}[/tex]
Step-by-step explanation:
We want to put the equation into the standard form of a quadratic equation ([tex]ax^2+bx+c=0[/tex]). This allows us to factor or use the quadratic formula to find the roots.
We are given the equation:
[tex]x^2+8x+10=3[/tex]
We have to get a 0 on one side of the equation. The easiest way to do this is to "get rid" of the 3 on the right side using inverse operations.
It's a positive 3, so the inverse would be subtract. Subtract 3 from both sides of the equation.
[tex]x^2+8x+10-3=3-3[/tex]
[tex]x^2+8x+(10-3)=0[/tex]
[tex]x^2+8x+7=0[/tex]
The equation in standard form is x²+8x+7=0
A marketing researcher conducts a test to determine whether the number of chocolate chips per cookie differs significantly across two brands of chocolate chip cookies. A random sample of 10 Chewy Delight cookies reveals a mean of 6.4 chocolate chips per cookie and a standard deviation of 1.1 chocolate chips per cookie. A random sample of 11 Chips Destroy cookies reveals a mean of 5.6 chocolate chips per cookie and a standard deviation of 1.7 chocolate chips per cookie. Assuming unequal population variances, what is the calculated value for the associated test statistic?
Answer: the value for the associated test statistic is 1.2653
Step-by-step explanation:
Given that;
sample size one n₁ = 10
mean one x"₁ = 6.4
standard deviation one S₁ = 1.1
sample size two n₁ = 11
mean two x"₂ = 5.6
standard deviation one S₁ = 1.7
H₀ : μ₁ = μ₂
H₁ : μ₁ ≠ μ₂
Pooled Variance
sp = √( { [(n₁ - 1) × s₁² + (n₂ - 1) × s₂²] / (n₁ + n₂ - 2)} × (1/n₁ + 1/n₂))
we substitute
= √( { [(10 - 1) × (1.1)² + (11 - 1) × (1.7)²] / (10 + 11 - 2)} × (1/10 + 1/11))
= √( { [(9) × 1.21 + (10) × 2.89] / (19) } × (0.1909))
= √({[ 39.79 ] / 19} × (0.1909))
= √( 2.0942 × 0.1909)
= √( 0.39978 )
= 0.63228
Now Test Statistics will be;
t = ( x"₁ - x"₂) / sp
we substitute
t = ( 6.4 - 5.6) / 0.63228
t = 0.8 / 0.63228
t = 1.2653
Therefore the value for the associated test statistic is 1.2653
124 – 70 = n – 35 I need the answer i please this is very importend
Answer:
N=89
59 = n - 35
54+35 = n
89=n
n=89
Complete this division sentence.
9988 + 23 =
R
Correct question is;
Complete this division sentence.
9988 ÷ 23 = R
Answer:
9988 ÷ 23 = 434 R 6
Step-by-step explanation:
....... 434
_________
23|9988
......92
¯¯¯¯¯¯¯¯¯¯¯
........ 788
.........69
¯¯¯¯¯¯¯¯¯¯
........... 98
............92
¯¯¯¯¯¯¯¯¯¯¯
............. 6
Thus ; 9988 ÷ 23 = 434 R 6
For a sample size of 55 and a population parameter of 0.2, what is the standard error of the sampling distribution? Round your answer to three
decimal places.
A. 0.028
B. 0.054
C. 0.035
D. 0.043
The standard error of the sampling distribution is given as follows:
B. 0.054.
How to obtain the standard error of the sampling distribution?By the Central Limit Theorem, for a proportion p in a sample of size n, the standard error of the sampling distribution of sample proportions is given as follows:
[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
The parameter values for this problem are given as follows:
p = 0.2, n = 55.
Hence the standard error is given as follows:
[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]s = \sqrt{\frac{0.2(0.8)}{55}}[/tex]
s = 0.054.
Meaning that the correct option is given by option B.
More can be learned about the Central Limit Theorem at https://brainly.com/question/25800303
#SPJ1
Evaluate:
12x+10 for x=−12
Answer:
-144?
Step-by-step explanation:
im not sure if that'll be the answer
Answer:
-134
Step-by-step explanation:
I’m between what two integers is the square root of 77
Answer:1,7
Step-by-step explanation:
Answer:i think it's 88 86
Step-by-step explanation:
I need help with this question.
Answer:
False.
Step-by-step explanation:
Any straight line may have infinite number of points (solutions) lying on it.
Therefor, straight line 'l' can't have exactly two solutions.
Line 'l' will have infinitely many solutions.
Exactly one or two solutions are possible only when two lines or functions intersect each other.
Therefore, answer is false.
Believe it or not, there are some people who don't think that Duke will win the NCAA tournament this year. Let's say that you want to measure the average intelligence of Duke Doubters. Problem is you could only find 28 DDs on this whole campus. The mean of your sample was 90 and the standard deviation was 60. Calculate the 90% Confidence Interval for the IQ of DDs
Answer:
The 90% confidence interval is [tex] 87.95 < \mu < 92.05 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 28[/tex]
The sample mean is [tex]\= x = 90[/tex]
The standard deviation is [tex]s= 60[/tex]
Generally given that the sample size is not large enough i.e n < 28 then we will make use of the t distribution table
Generally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 28 - 1[/tex]
=> [tex]df = 2 7[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the student t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 2 7[/tex] is
[tex]t_{\frac{\alpha }{2} , 27 } = 2.052[/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]90 - 2.052 < \mu < 90 + 2.052 [/tex]
=> [tex] 87.95 < \mu < 92.05 [/tex]
(x - 12) - 5 = 3x - 2
x = ?
Answer:
not equal
Step-by-step explanation:
Answer:
x= -7.5
Step-by-step explanation:
x-12-5=3x-2
x-17=3x-2
-2x=15
x=-7.5