Answer:
A certain shade of pink us created by adding 3 cups of red paint to 7 cups of white paint
Step-by-step explanation:
Constant of proportionality is the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.
To make color pink,
for every 3 cups of red , we need 7 cups of white.
Let 'r' be the cups of red required
let 'w' be the cups of white required
so , as per the question
for 3 r we need = 7 w
r = 7/3 w
so, 7/3 is constant of proportionality
I need help with the question plzzzz
Answer:
6 and 8
Step-by-step explanation:
have a great day luv
According to a study published in the New England Journal of Medicine, overweight people on low-carbohydrate and Mediterranean diets lost more weight and got greater cardiovascular benefits than people on a conventional low-fat diet (The Boston Globe, July 17, 2008). A nutritionist wishes to verify these results and follows 30 dieters on the low-carbohydrate and Mediterranean diets and 30 dieters on the low-fat diet. These data (measured in pounds) can be found on the text website, labeled Different Diets. Let Low-carb or Mediterranean and Low-fat diets represent populations 1 and 2, respectively. Use Table 2.
Low-carb Low-carb/
Mediterrean Diets Low- Fat diet Mediterreand diet Low-fat Diet
9.5 6.5 6.8 5.9
8.1 5.8 9.1 6.9
10.4 9.9 9.4 9.1
11.9 5.1 10.2 8.0
11.8 8.0 9.5 8.9
12.6 6.3 9.5 3.4
6.7 6.3 9.4 4.6
9.6 4.4 12.0 6.2
11.6 5.7 9.9 4.6
8.4 5.9 9.7 6.7
9.0 6.8 9.2 4.6
7.5 5.1 13.0 7.1
7.2 6.3 11.3 11.0
8.5 5.5 13.6 4.5
8.8 5.5 9.0 3.9
a.Set up the hypotheses to test the claim that the mean weight loss for those on low-carbohydrate or Mediterranean diets is greater than the mean weight loss for those on a conventional low-fat diet.
H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 > 0
H0: ?1 ? ?2 = 0; HA: ?1 ? ?2 ? 0
H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 < 0
b-1.Using the appropriate commands in Excel, find the value of the test statistic. Assume that the population variances are equal and that the test is conducted at the 5% significance level. (Round your answer to 2 decimal places.)
Test statistic
b-2. What is the critical value and the rejection rule?
Reject H0 if tdf < -1.672.
Reject H0 if tdf < -2.002.
Reject H0 if tdf > 2.002.
Reject H0 if tdf > 1.672.
c. At the 5% significance level, can the nutritionist conclude that overweight people on low-carbohydrate or Mediterranean diets lost more weight than people on a conventional low-fat diet?
No
Yes
Low-carb/Mediterrean Diets Low-fat Diet
9.5 6.5
8.1 5.8
10.4 9.9
11.9 5.1
11.8 8
12.6 6.3
6.7 6.3
9.6 4.4
11.6 5.7
8.4 5.9
9 6.8
7.5 5.1
7.2 6.3
8.5 5.5
8.8 5.5
6.8 5.9
9.1 6.9
9.4 9.1
10. 2 8
9.5 8.9
9.5 3.4
9.4 4.6
12 6.2
9.9 4.6
9.7 6.7
9.2 4.6
13 7.1
11.3 11
13.6 4.5
9 3.9
Answer:
Explained below.
Step-by-step explanation:
A two-sample test is to be performed to determine whether the mean weight loss for those on low-carbohydrate or Mediterranean diets is greater than the mean weight loss for those on a conventional low-fat diet.
(a)
The hypothesis can be defined as follows:
H₀: μ₁ - μ₂ ≤ 0 vs. Hₐ: μ₁ - μ₂ > 0
(b-1)
Use Excel to perform the t test for independent samples.
The output is attached below.
The test statistic value is, t = 7.58.
(b-2)
The degrees of freedom is, df = 58.
The critical value is, t₅₈ = 1.672.
The rejection region is:
Rejected H₀ if t > t₅₈ = 1.672.
(c)
Decision:
t = 7.58 > t₅₈ = 1.672
The null hypothesis will be rejected at 5% level of significance.
Thus, the nutritionist can conclude that overweight people on low-carbohydrate or Mediterranean diets lost more weight than people on a conventional low-fat diet.
The correct option is Yes.
A climber started at 2,580 feet above sea level. He climbed up 348 feet, down a valley 452 feet, and up 108 feet. What is his new elevation?
Answer:
2,584
Step-by-step explanation:
You just add or subtract the numbers if hes going up or down.
We want to factor the following expression: 25x^6-30x^3+9 We can factor the expression as (UVwhere Uand are either constant integers or single-variable expresSions 1) What are U and V?
Answer:
U = 5x^3
V = 3
(5x^3 - 3)^2
Step-by-step explanation:
(1) The value of U and V are U = 5x³ and V = 3.
(2) The factored form of 25x⁶ - 30x³ + 9 is (5x³3 - 3)²
What is a quadratic equation?A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.
We can factor the expression 25x⁶ - 30x³ + 9 by first noticing that each term is a perfect square:
25x⁶ = (5x³)²
30x³ = 2(15x³)
9 = 3²
Now we can write the expression as the difference of two squares:
25x⁶ - 30x³ + 9 = (5x³)² - 2(5x³)(3) + 3²
Let U = 5x³ and V = 3. Then we have:
(5x³3 - 3)²
Therefore, the factored form of 25x⁶ - 30x³ + 9 is (5x³3 - 3)².
To learn more about the quadratic equation;
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Add the fractions. Write your answer as a mixed number 3/5+4/5
Answer:
Step-by-step explanation:
3 + 4 = 7.
the denominator stays the same. You only add the numerators.
7/5 in mixed number form is 1 2/5 because 7 goes into 5 once. so kinda like 7 - 5 = 2. and the 2 goes on top now.
I need help with this can anyone give me the answer
Is 3pi/4pi a rational number?
Answer:No
Step-by-step explanation:
Pi is irrational
Happy world teachers day! Hope any teachers out there who are reading this have a good day <3
Answer:
nice :)
Step-by-step explanation:
g(x)=x^2+2x-8 in factored form
Answer:
g(x) = (x+4)(x-2)
Step-by-step explanation:
g(x) = x²+2x-8
g(x) = (x+4)(x-2)
Answer:
(x+4)(x-2)
Step-by-step explanation:
Find the value of x so that f(x)=7.
Answer:
slope: 0
y intercept: (0, 7)
Step-by-step explanation:
A recipe requires 3/4 of a cup of milk for every 1 1/2 cups of flour how many cups of milk are needed for each cup of flour
Answer: 1/2 cup
Step-by-step explanation:
If there are 3/4 cup milk needed for every 1 1/2 cup of flour that means for every 1/2 cup of flour you’ll need 1/4 cup of milk. So for a whole cup of flour you’ll need 2/4 cup of milk which is equivalent to 1/2
Solve for value of B
Answer:
b = 6
Step-by-step explanation:
[tex](6b - 7) \degree + 90 \degree + 61 \degree = 180 \degree \\ \\ (6b - 7) \degree + 151 \degree = 180 \degree \\ \\ (6b - 7) \degree = 180 \degree - 151 \degree\\ \\ (6b - 7) \degree = 29 \degree \\ \\ 6b - 7 = 29 \\ \\ 6b = 29 + 7 \\ \\ 6b = 36 \\ \\ b = \frac{36}{6} \\ \\ \huge \purple{ \boxed{ b = 6}}[/tex]
The Fenwick family filled their new in-ground swimming pool with 75,700 liters of water. One gallon of water is about 3.785 liters. About how many gallons of water are in the pool?
gallons
Answer:
20,000 gallons
Step-by-step explanation:
75,700 ÷ 3.785 = 20,000 gallons that are in the pool.
Answer:
20,000
Step-by-step explanation:
hoped this helped :D
If Khalid uses 3 liters of paint to cover 8 square meters of wall. How much paint does Khalid need to paint 40 square meters of the wall.
Answer:
15l
Step-by-step explanation:
There are 5 8sq m in 40sq m
total paint is 5*3=15
Combine Like Terms. 2 x 2 − x 2 + 3 x 2 2x 2 −x 2 +3x 2
Answer:
The answer is 4x(exponent of 2)
Step-by-step explanation:
What is the value of x in the equation 8x-5(x-1)=20
1. 25/3
2. 21/4
3. 5
4. 7
what is the positive difference between 19&8?
Answer:
11
Step-by-step explanation:
The positive difference between 19 and 8 is 11.
What is positive difference?It is the value which is obtained when the smaller number is subtracted from the bigger number.
For given example,
We need to find the positive difference between 19 and 8.
here, 19 > 8
So, the smaller number = 8
the bigger number = 19
So, the positive difference would be,
19 - 8 = 11
Therefore, the positive difference between 19 and 8 is 11.
Learn more about difference here:
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Recall from Intermediate Algebra that two non-vertical lines are perpendicular if and only if they have negative reciprocal slopes. That is to say, if one line has slopem1and the other has slopem2thenm1 · m2 = −1.Please note that a horizontal line is perpendicular to a vertical line and vice versa, so we assumem1 ≠ 0andm2 ≠ 0.Below, you are given a line and a point which is not on that line. Find the line perpendicular to the given line which passes through the given point.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The line is [tex]y = -4 x[/tex]
Step-by-step explanation:
From the question we are told that
The line is [tex]y = \frac{1}{4} x + 8[/tex]
The point is P(0,0 )
Generally the equation for a line is [tex]yn = mx + c[/tex]
Now comparing this with the given equation we see that
[tex]m =\frac{1}{4} = slope[/tex]
[tex]C =8 = intercept [/tex]
Generally the slope of the perpendicular to the given line is mathematically evaluated as
[tex]m_1 = - \frac{1}{m}[/tex]
=> [tex]m_1 = - \frac{1}{ \frac{1}{4}}[/tex]
=> [tex]m_1 = -4 [/tex]
Generally from the univesal equation of a line and the given point we have that
y = mx + c at p(0,0) and [tex]m_1 = -4[/tex] is
0 = -4 (0 ) + c
=> c = 0
Hence the equation perpendicular to the line given at the point given is
[tex]y = -4 x[/tex]
The school talent show is 92 minutes long. Acts in the talent show are each about 4 minutes long. How many acts should there be?
Estimate:
Tape Diagram:
Show your work:
Answer:
23 acts
Step-by-step explanation:
This is a division problem.
92/4 = 23
Answer: 23 acts
Cindy and Victoria completed 8/9 of their job in a day. Cindy has done 1/9 of the work. How much of the work was done by Victoria?
Answer:
7/9 of the work was done by Victoria.
Step-by-step explanation:
8/9-1/9=7/9
PLEASE HELP
Giada earns a salary of $42,670 a year and is paid every two weeks. What is her gross pay per pay period?
Answer:
She would get $1647.2 biweekly.
Step-by-step explanation:
There are 52 weeks in a year.
52 ÷ 2 = 26
Money divided biweekly.
42, 670 ÷ 26 = 1, 641.3
what is 10 times 20,00x
4/5 + 3 1/10
Please answer quick (◍•ᴗ•◍)❤
Answer:
3 9/10
Step-by-step explanation:
Find the common factor
8/10+3 1/10
3 9/10
It takes 9 1/2 inches of string to make one bracelet. How many bracelets can be made if you only have 5 yards of string?
Answer:
18
Step-by-step explanation:
PLEASE HELP ASAP What part of 6 3/5 is 3 /10 ? PLS HELP ASAP
Answer:
the 3/5 part of 6 3/5
Step-by-step explanation:
3/5 is equal to 3/10 because when you find the common denominator of 10, you multiply 3/5 by 2 and 3/10 by 1 because 10 is already 10. 3/5*2=6/10.
Which of the following is a point on the graph of y-7=3(x-5)
solve the inequality 2(4+2x) is less than or equal to 5x+5
a. x is Less than or equal to -2
b. x is greater than or equal to -2
c. x is less than or equal to 3
d. x is greater than or equal to 3
Answer:
the answer is d, anything lower than 3 would make the solution incorrect
Which of the following numbers could be the probability of an event? 1, 1.39, -0.53, 0, 0.02, 0.26
Answers:
A) 1D) 0E) 0.02F) 0.26If x is a probability value, then [tex]0 \le x \le 1[/tex]
A probability of 0 means "impossible" while a probability of 1 means "100% certain".
There are 10 girls for every 12 boys. If there are 50 girls, how many boys are there?
Answer:
60
Step-by-step explanation:
you have to have a constant. the constant is 5 so 12*5=60
Please answer this correctly without making mistakes
