Answer:
10 over 40
Step-by-step explanation:
y2-y1 over x2-x1
The amount that Ronnie earns, E, in terms of the number of hours that he works, h, is shown in
the graph below.
What is the constant of proportionality. E/h for this situation
Answer:
8
Step-by-step explanation:
The constant of proportionality bus the amount earned by Ronnie, E, all over the corresponding hours he used in working, h.
Constant of proportionality = [tex] \frac{E}{h} [/tex]
From the graph given, when h = 5, E = 40.
Therefore:
Constant of proportionality = [tex] \frac{E}{h} = \frac{40}{5} = 8 [/tex]
What is the value of 7m – 3n when m = 3 and n = 2?
O 5
O 15
O 24
O 36
Answer:
the answer is 15
Step-by-step explanation:
[tex]7(3) - 3(2) = 15[/tex]
Nick and his cousin Katie are picking apples in their grandparents' orchard. Nick has filled 15 baskets with apples and is filling them at a rate of 1 basket per hour. Katie has 10 full baskets and will continue picking at 2 baskets per hour. Once the cousins get to the point where they have filled the same number of baskets, they will carry them to the barn and then eat lunch. How long will that take?
Answer:
240/4 hours will be 8 baskets
Step-by-step explanation:
What do the four yellow tiles in the model of the equation below represent?
1
xxx
-4
4
-4x
4x
What is the Reciprocal of 5/12
Answer:
12/5 just flip the numbers :D
Step-by-step explanation:
Brian measures his height at 160cm to the nearest 10cm.
What is the tallest he could be?
Give the upper bound as your answer.
Answer:
170 cm is the tallest
Two 5-year girls, Alyse and Jocelyn, have been training to run a 1-mile race. Alyse's 1 mile time A is approximately Normally distributed with a mean of 13.5 and standard deviation of 2.5 minutes. Jocelyn's 1-mile time J is approximately Normally distributed with a mean of 12 minutes and a standard deviation of 1.5 minutes. Assuming A and J are independent random variables, what is the probability that Alyse has a smaller time than Jocelyn in a 1 mile race on a randomly selected day?
Answer:
1.7 × 10⁻⁴
Step-by-step explanation:
The question relates to a two sample z-test for the comparison between the means of the two samples
The null hypothesis is H₀: μ₁ ≤ μ₂
The alternative hypothesis is Hₐ: μ₁ > μ₂
[tex]z=\dfrac{(\bar{x}_1-\bar{x}_2)-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]
Where;
[tex]\bar {x}_1[/tex] = 13.5
[tex]\bar {x}_2[/tex] = 12
σ₁ = 2.5
σ₂ = 1.5
We set our α level at 0.05
Therefore, our critical z = ± 1.96
For n₁ = n₂ = 23, we have;
[tex]z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^{2} }{23}-\dfrac{1.5^{2}}{23}}} = 3.5969[/tex]
We reject the null hypothesis at α = 0.05, as our z-value, 3.5969 is larger than the critical z, 1.96 or mathematically, since 3.5969 > 1.96
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day and the probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore;
The probability that Alyse has a smaller time than Jocelyn is 1 - 0.99983 = 0.00017 = 1.7 × 10⁻⁴.
Refer the below solution for better understanding.
Step-by-step explanation:
Given :
Standard Deviation, [tex]\rm \sigma_1 = 2.5\; and\;\sigma_2= 1.5[/tex]
Calculation :
The null Hypothesis is [tex]\rm H_0: \mu_1\leq\mu_2[/tex]
The alternative Hypothesis is [tex]\rm H_a: \mu_1>\mu_2[/tex]
Now,
[tex]z = \dfrac{(\bar{x_1}-\bar{x_2})-(\mu_1-\mu_2)}{\sqrt{\dfrac{\sigma_1^2}{n_1}-\dfrac{\sigma_2^2}{n_2}} }[/tex] --------------- (1)
putting the values of
[tex]\bar{x_1}=13.5,\;\bar{x_2}=12,\;\sigma_1=2.5,\;\sigma_2=1.5[/tex]
in equation (1)
[tex]z=\dfrac{(13.5-12)-(0)}{\sqrt{\dfrac{2.5^2}{23}-\dfrac{1.5^2}{23}} }[/tex]
z = 3.5969
We reject the null hypothesis at
[tex]\alpha =0.05[/tex]
z-value is larger than the critical z.
3.5969 > 1.96
Therefore, there is enough statistical evidence to suggest that Alyse time is larger than Jocelyn in a 1 mile race on a randomly select day.
The probability that Alyse has a larger time than Jocelyn is 0.99983
Therefore, the probability that Alyse has a smaller time than Jocelyn is
[tex]1-0.99983 = 0.00017 = 1.7\times10^-^4[/tex]
For more information, refer the link given below
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Find the slope from the table:
Answer: m=-5/3
Step-by-step explanation:
You saved $35 to buy two books. The first book cost an unknown amount and the second book cost $24. If you don't have any money left over, how much did the first book cost?
Answer:
$11 Dollar
Step-by-step explanation:
35 - 24 = 11
a) Estimate 0.42 x 0.064 by rounding both numbers to one significant figure.
b) Work out the exact value of 0.42 x 0.064
Answer:
A) 0.030
B) 0.026
Step-by-step explanation:
I hope this HELP! :)
Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
1. What is the distance between -12 and 6 on the number
line?
I will mark. so please I WANT AN A+!!!!!
Answer:
-4.5, -3 1/2, -3, -2.5, 4 1/2
Step-by-step explanation:
the higher the numbers as a negative, the smaller they are! :)
Answer:
from least to greatest
Step-by-step explanation:
1. -4.5
2.-3 1/2
3. -3
4.-2.5
5. 4 1/2
HAVE A NICE DAY HOPE U GET A A+
ILL GIVE BRAINLIEST IF UPU ANSWER ALL AND GOOD PLS JUST HELP I FOR GOT
What is the slope of this line?
−3
3/4
4
−3/4
Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 4 comma negative 1 end ordered pair
5 divided by 4= 25 divided by x
wHAT IS X
Answer:
x=20
Step-by-step explanation:
so 5/4 is 1.25
so 25/x=1.25
so to find x we do 25/1.25
when we do that we get 20 so then to check if it's right we divide 25/20 and we get 1.25 so it's right
Answer:
yeet
Step-by-step explanation:
Earlier we investigated the relationship between x = payroll (in millions of dollars) and y = number of wins for Major League Baseball teams in 2016. Given is a scatterplot of the data, along with the regression line y^ = 60.7 + 0.139x . Interpret the slope of the regression line.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Equation of regression line : y^ = 60.7 + 0.139x
x = payroll (in millions of dollars) and y = number of wins for Major League Baseball teams in 2016.
From the general regression equation:
y = mx + c
Where m = slope of regression line.
The slope (m) of the equation given is 0.139
The slope could be interpreted as ; for every per unit change in y (every win a major league baseball team has in 2016), the payroll in million dollar increases by a product of 0.139
The slope of a regression line is the average rate of change of the line.
The interpretation of the slope is: the rate of wins per payroll is 13.9%
From the question, we have:
[tex]\mathbf{\bar y= 60.7 + 0.139x}[/tex]
The equation of a linear regression is:
[tex]\mathbf{\bar y= c + mx}[/tex]
Where m represents the slope
So, by comparison:
[tex]\mathbf{m = 0.139}[/tex]
[tex]\mathbf{m = 13.9\%}[/tex]
This means that, the rate of wins per payroll is 13.9%
Read more about slopes at:
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Help!!! Quiz!! I think that the answer is A and B, but I’m not sure.
13 POINT!!!
Will mark brainliest for correct answer!!!
6x2 + 5x - 4 = 0
A. x= 1/2
B. x= -3/4
C. x= 1/3
D. x= 4
E. x= -2
F. x = -1/3
Answer:
E
Step-by-step explanation:
Hope this helped ;) Have a good day! :D
1) A ratio of 2 to 10 is the same as
*
02/14
2/12
O 1/5
2/5
Answer:1/5
Step-by-step explanation:
Two and ten divided by two equals 1 and 5 so 1/5
negative four times the sum of a number and 3 is at least 28, translate.
Answer: [tex]-4 * (n+3) \geq 28[/tex]
Step-by-step explanation:
Negative four -> [tex]-4[/tex]
Times the sum of a number and 3 -> [tex]-4 * (n + 3)[/tex]
Is at least 28 -> [tex]-4 * (n+3) \geq 28[/tex]
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Answer:
1. –X + Y = -22X – Y = 6
2. X + Y = 5-2X + Y = -4
Step-by-step explanation:
A triangular playground has angles with measure in the ratio 6:4:5.What is the measure of the smallest angle
Answer:
36 degrees
Step-by-step explanation:
Sady has $545, she want to buy a boyfriend he cost $1000 on Ebay how mush does she nee to buy him?
Answer:
Sady needs $455 more dollars
Step-by-step explanation:
1,000-545=455
Help me on this please
Answer:
y=35x+50
35*8=280
280+50=330
yes there will be 10 dollars left
I hope this is good enough:
y+2=−3(x−4)= whats the missing equation
which TWO Points cannot be included in the function that includes (-2,6),(-1,4),(0,2),(1,0)(3,-4) and (4,6)
A).(-4,10)
B). (-1,5)
C).(2,-3)
D).(4,8)
E).(6,-9)
Answer:
B D
Step-by-step explanation:
What is 120/160 in simplest form?
Answer:
3/4
Step-by-step explanation:
divide both 120 nd 160 by 40
Answer:
3/4
Step-by-step explanation:
120/160
12/16
3/4
Does the equation “y = x/10” represent a proportional relationship?
Answer: I think it does
Step-by-step explanation:
Bc x turn into 1/10
Yes, the equation y = x/10 do represent a proportional relationship.
What is Proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent.
Given an equation, y = x/10
This equation is representing a proportional relationship because in the equation there are two equal ratios and according to definition of proportion, the equation is proportional.
Hence, the equation y = x/10 do represent a proportional relationship.
For more references on Proportional relationship, click;
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ANSWER FAST WILL GIVE BRAINLY. Which equation does NOT represent direct variation? (Make sure to solve for y first!)
F) y = 70x
(G) - 1/2y = x
(H) 4x - 3y = 12
(J) -7x + 14y = 0
Answer: I thinks its F...
Step-by-step explanation:
please an someone help me 5(−3.4k−7)+(3k+21)
Answer:
4
Step-by-step explanation:
Answer:
4.5k
Step-by-step explanation: