The question does not clearly specify from which endpoint Q is at 2/3. I'll assume Q is 2/3 away from R.
Answer:
The point Q is (2,3)
Step-by-step explanation:
Take the aligned points R(-2,1), S(4,4), and Q(x,y) in such a way that Q is 2/3 away from R (assumed).
The required point Q must satisfy the relation:
d(RQ) = 2/3 d(RS)
Where d is the distance between two points.
The horizontal and vertical axes also satisfy the same relation:
x(RQ) = 2/3 x(RS)
[tex]x_R-x_Q=2/3(x_R-x_S)[/tex]
And, similarly:
[tex]y_R-y_Q=2/3(y_R-y_S)[/tex]
Working on the first condition:
[tex]-2-x=2/3(-2-4)=2/3(-6)[/tex]
Removing the parentheses:
[tex]-2-x=-4[/tex]
Adding 2:
[tex]-x = -2[/tex]
x = 2
Similarly, working with the vertical component:
[tex]1-y=2/3(1-4)=2/3(-3)[/tex]
Removing the parentheses:
[tex]1-y=-2[/tex]
Subtracting 1:
[tex]-y = -3[/tex]
y = 3
The point Q is (2,3)
Taft CLB Algebra 2 Unit 1: Systems of Linear Equations and Inequalities 2020-2021 / 3 of 13
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You earn $6 per hour babysitting and $10 per hour working at a gas station. You want to earn at least $90 to cover your weekly
expenses and have at most 15 hours available to work this week. The gas station requires you to work at least six hours per week.
Write a system of linear inequalities to model this situation.
OF B + G > 90
6B + 10G< 15
G> 6
O G 6B + 10G > 90
B + G > 15
G<6
OH 6B + 10G > 90
B + G < 15
G 26
Type here to search
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ENG 9:20 AM
921
Answer:
[tex]B + G \leq 15[/tex]
[tex]6B + 10G \geq 90[/tex]
Step-by-step explanation:
Given
Represent Babysitting with B
Represent Gas Station with G
Total workhours = At most 15
Earnings = At least $90
First, we need to represent the work hours as inequality
B + G = At most 15
At most 15 means less than or equal to 15.
So, we have:
[tex]B + G \leq 15[/tex]
Next, we represent the earnings as inequality.
6 hours of babysitting is: 6B
10 hours at gas station is: 10G
So:
6B + 10G is at least 90
At least 90 means greater than or equal to 90
So, we have:
[tex]6B + 10G \geq 90[/tex]
what is the value of 6797999012
Answer:
6797999012
Step-by-step explanation:
Daniel bought a package of 12 water bottles for $6. Write an equation that relates the cost, c, of a package of water bottles to the number of bottles, b, in the package?
Answer:
c = 2b
Step-by-step explanation:
First, find the cost of one water bottle by dividing the total cost by the number of water bottles:
12/6
= 2
Then, set up an equation.
2b, where b is the number of bottles, represents the cost of the package of water bottles.
Set this equal to c, the cost, to create the equation.
c = 2b is the equation relating the cost to the number of bottles
What is 3.761 in expanded form
Answer:
3 + 0.7 + 0.06 + 0.001
Answer:3+ 0.7+ 0.06+ 0.001= 3.761
Step-by-step explanation:
what is the equation of a line perpendicular to line with equation 2x-5y=5
Answer:
its -5
Step-by-step explanation:
can you plz give me more of an anser
Answer:
peepeepoopoo check
Step-by-step explanation:
In order to become a member at a gym, there is a $75 startup fee. You then have to pay $15 per month. Write an equation in slope-intercept form modeling this situation where y represents the total cost and x represents the number of months spent at the gym
Answer:
y = 15x +75
Step-by-step explanation:
15 is the number of months and changes based on how many months
75 doesn't change, remains constant.
Which of the following is the mean of the sampling distribution
You pay $7.80 for 6 pounds of apples. Find the price per pound.
━━━━━━━☆☆━━━━━━━
▹ Answer
$1.30
▹ Step-by-Step Explanation
To find the price per pound, you have to divide the total amount of money by the amount of pounds:
$7.80/6 lbs = $1.30
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
A fair coin is flipped 10 times and the sequence of heads and tails is noted. In how many outcomes are there in at least 3 tails?a. 904 b. 120 c. 176 d. 24 e. 32
Answer:
P(X ≥ 3) = 0.94538
Step-by-step explanation:
When flipping a coin, probability of getting a tail is p= 0.5.
Number of times flipped; n = 10
Now, this is a binomial probability distribution problem with the formula;
P(X = x) = C(n, r) × p^(x) × (1 - p)^(n - x)
Probability of getting at least 3 tails is;
P(X ≥ 3) = P(3) + P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10)
P(3) = C(10, 3) × 0.5³ × (1 - 0.5)^(10 - 3)
P(3) = 0.1172
P(4) = C(10, 4) × 0.5⁴ × (1 - 0.5)^(10 - 4)
P(4) = 0.2051
From online binomial probability calculator, we have the remaining as;
P(5) = 0.2461
P(6) = 0.2051
P(7) = 0.1172
P(8) = 0.0439
P(9) = 0.0098
P(10) = 0.00098
Thus;
P(X ≥ 3) = 0.1172 + 0.2051 + 0.2461 + 0.2051 + 0.1172 + 0.0439 + 0.0098 + 0.00098
P(X ≥ 3) = 0.94538
Write 0.45 as a fraction.
Answer:
9/20
Step-by-step explanation:
0.45 = 45/100
45/100=9/20 (divide numerator and denominator by 5)
help please!!!!! (QUESTION #3)!!!!!!!
Ned took a test with 20 questions. He lost 5 points for each of the 8 questions he got wrong and earned an additional 11 points for answering a bonus question correctly. How many points did Ned receive or lose overall?
Answer:
He lost 29 points
Step-by-step explanation:
He lost 29 points. He lost 5 points for each of the 8 questions so -5 x 8 = -40 points, then add 11 = -29
Answer:
He would end up with 71 points
Step-by-step explanation:
You start with 100 hundred points then you have to multiply 8 times 5 which you get 40 so then you have to subtract 100 -40 to get 60 then you add the extra 11 points andyou get 71 points
b. Multiply (3 x - 1) by (x + 1)
Answer:
(3x - 1)(x + 1) = 3x² + 2x - 1
Step-by-step explanation:
[tex] \rm \longrightarrow (3x - 1)(x + 1) \\ \\ \rm \longrightarrow 3x(x + 1) - 1(x + 1) \\ \\ \rm \longrightarrow (3x)(x) + (3x)(1) + ( - 1)(x) + ( - 1)(1) \\ \\ \rm \longrightarrow 3 {x}^{2} + 3x + ( - x ) + ( - 1) \\ \\ \rm \longrightarrow 3 {x}^{2} + 3x - x - 1 \\ \\ \rm \longrightarrow 3 {x}^{2} + 2x - 1[/tex]
Answer:
(3x - 1)(x + 1) = 3x² + 2x - 1
Step-by-step explanation:
got it right on edge
Please help on this math question! I will love to help back on anything and give brainliest
Answer:
the perimeter is 25.
Step-by-step explanation:
have a nice day!
(I'm not going to get an answer in time, but this is for people in the future who are going to need it)
Which reigon represents the solution to the given system of inequalities
Answer:
I think the answer is B.
plz help it's due in 10 min
Which is the most accurate statement about the sign of the product of a positive integer and a negative integer? 1.It is positive.
2.It is negative.
3.It depends on the sign of the first of the two numbers.
4.It cannot be predicted without knowing the integers.
Answer:
3
Step-by-step explanation:
Algebra!!!! Answer QUICK PLZ
5 questions!!! 50 POINTS!!!!
Answer:
A
C
i don't get the first slide
Step-by-step explanation:
Answer:
A
C
What is the 1st one?? i don't get it.
Step-by-step explanation:
How much sparkling water would you need to make 100 quarts of sparkling grape juice? (Recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice)
Answer:
66.6666
Step-by-step explanation
This is the answer because I found it up here and I got the answer right.
89.36 in word form i have it in expanded form not word form though pls help ??????????????????????????????????????????????????????????????????????///
Answer:
eighty-nine and thirty-six hundredths
or, simpler:
eighty-nine point thirty-six
or, even simpler:
eighty-nine point three six
Answer:
eighty-nine and thirty-six hundredths
Step-by-step explanation:
Marine biologists have been studying the effects of acidification of the oceans on weights of male baluga whales in the Arctic Ocean. One of the studies involves a random sample of 16 baluga whales. The researchers want to create a 95% confidence interval to estimate the true mean weight of male baluga whales. Their data follow a normal distribution. The population standard deviation of weights of male baluga whales is ????=125 kg, and the researchers feel comfortable using this standard deviation for their confidence interval.
Assuming the relevant requirements are met, calculate the margin of error in estimating the true mean weight of male baluga whales in the Artic Ocean.
a. 15.31 kg
b. 51.40 kg
c. 61.25 kg
d. 80.49 kg
Answer:
c. 61.25 kg
Step-by-step explanation:
The margin of error in estimating the true mean weight of male baluga whales in the Artic Ocean.
a. 15.31 kg
b. 51.40 kg
c. 61.25 kg
d. 80.49 kg
Margin of Error Formula= z × Standard deviation/√n
95% confidence interval = 1.96
Standard deviation = 125kg
n = 16 samples
Margin of error= 1.96 × 125/√16
= 1.96 × 125/4
= 245/4
= 61.25kg
The margin of error in estimating the true mean weight of male baluga whales in the Artic Ocean is 61.25kg
How much does Jimmy earn each week, and
how much does he save by week 4?
A. Jimmy earns $3 each week, and he has $12 by
week 4.
B. Jimmy earns $3 each week, and he has $10 by
week 4.
C. Jimmy earns $6 each week, and he has $12 by
week 4.
D. Jimmy earns $6 each week, and he has $10 by
week 4.
Answer:
we need more info to answer this question
Answer:
A.
Step-by-step explanation:
12 divided by 4 equals 3. So if he gets 3 dollars a week by the fourth week he should have 12 dollars. It could also be 4 times 3 equals 12.
What is the measure of an angle if the measures of its two adjacent supplementary angles add up to 100°?
The answer is not 80 btw
Explanation:
Let x be the unknown angle we want to find.
Let y be adjacent and supplementary to x. This means x+y = 180
Let z also be adjacent and supplementary to x. So x+z = 180 also
Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.
Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z
y+z = 100
z+z = 100
2z = 100
z = 100/2
z = 50
Therefore,
x+z = 180
x+50 = 180
x = 180-50
x = 130
Answer:
130°
Step-by-step explanation:
Let x be the unknown angle we want to find.
Let y be adjacent and supplementary to x. This means x+y = 180
Let z also be adjacent and supplementary to x. So x+z = 180 also
Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.
Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z
y+z = 100
z+z = 100
2z = 100
z = 100/2
z = 50
Therefore,
x+z = 180
x+50 = 180
x = 180-50
x = 130
i need to know the answer to this is radical form
88) 4 times a number decreased by 8 equals 40
A) x=80 B) x = 40 C) x=8
D) x = 12
Solve for x in the expression:
3 + 2x + 5 =0
Answer:
x= -4
Step-by-step explanation:
3 + 2x + 5 = 0
8 + 2x = 0
2x = -8
2x/2 = -8/2
x= -4
Whoever answers correctly gets brainlist.
Answer:
1.- 4/5 + 5/12= 1 and 13/60
2.- 5/6 + 6/12= 1 and 1/3
3.- 1/3 + 2/6= 2/3
4.- 7/8 + 8/10= 1 and 27/40
The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. Test H0 : p=0.28 vs Ha : p<0.28 when the sample has n=800, and p^=0.217 with SE=0.01.
Required:
Find the value of the standardized z-test statistic.
Answer:
Z = -6.3
Step-by-step explanation:
Given that:
[tex]\mathbf{H_o :p= 0.28}[/tex]
[tex]\mathbf{H_o :p < 0.28}[/tex]
Since the alternative hypothesis is less than 0.28, then this is a left-tailed hypothesis.
Sample sixe n = 800
[tex]\hat p[/tex] = 0.217
The standard error [tex]S.E(p) = \sqrt{\dfrac{p(1-p)}{n}}[/tex]
[tex]S.E(p) = \sqrt{\dfrac{0.28(1-0.28)}{800}}[/tex]
[tex]S.E(p) \simeq0.015[/tex]
Since this is a single proportional test, the test statistics can be computed as:
[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
[tex]Z = \dfrac{0.217- 0.28}{0.01}[/tex]
Z = -6.3
Please help im stuck
Answer:
B
Step-by-step explanation:
substitution because
if m∠3=m∠7, and m∠7=m∠6 you can substitute
m∠7 to m∠3 and get m∠3=m∠6
Helpppp
A 95% confidence interval is found to be (30,36). The sample standard
deviation is 9, and the sample size is 36. If you wanted a smaller interval,
what could you do?
A. None of these
B. Decrease the sample size to 30.
C. Increase the sample size to 100.
D. Increase the confidence level to 99.7%.
Answer:
C
Step-by-step explanation:
A P E X
If you wanted a smaller interval, you could (c) Increase the sample size to 100
How to determine the true statement?The confidence interval is given as:
CI = 95%
The sample standard deviation is given as:
σ = 9
The sample size is given as:
n = 36
In a test of hypothesis, the higher the sample size, the smaller the confidence interval.
This means that an increase in the sample size from 36 would decrease the confidence interval
Hence, if you wanted a smaller interval, you could (c) Increase the sample size to 100
Read more about confidence intervals at:
https://brainly.com/question/15712887
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