Step-by-step explanation:
I said in your comments, you can solve it for each variables
you have 2 answers
1) 2x<y+3
[tex]x \leqslant \frac{y + 3}{2} [/tex]
2)
[tex]y \geqslant 2x - 3[/tex]
A group of researchers are interested in the possible effects of distracting stimuli during eating, such as an increase or decrease in the amount of food consumption. To test this hypothesis, they monitored food intake for a group of 44 patients who were randomized into two equal groups. The treatment group ate lunch while playing solitaire, and the control group ate lunch without any added distractions. Patients in the treatment group ate an average of 52.1 grams of biscuits, with a standard deviation of 45.1 grams, and patients in the control group ate an average of 27.1 grams of biscuits, with a standard deviation of 26.4 grams. Do these data provide convincing evidence that the average food intake (measured in grams of biscuits consumed) is different for the patients in the treatment group? Assume that conditions for inference are satisfied.
Using the t-distribution, it is found that since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.
At the null hypothesis, it is tested if the consumption is not different, that is, if the subtraction of the means is 0, hence:
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternative hypothesis, it is tested if the consumption is different, that is, if the subtraction of the means is not 0, hence:
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
Two groups of 22 patients, hence, the standard errors are:
[tex]s_1 = \frac{45.1}{\sqrt{22}} = 9.6154[/tex]
[tex]s_2 = \frac{26.4}{\sqrt{22}} = 5.6285[/tex]
The distribution of the differences is has:
[tex]\overline{x} = \mu_1 - \mu_2 = 52.1 - 27.1 = 25[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{9.6154^2 + 5.6285^2} = 11.14[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]t = \frac{25 - 0}{11.14}[/tex]
[tex]t = 2.2438[/tex]
The p-value of the test is found using a two-tailed test, as we are testing if the mean is different of a value, with t = 2.2438 and 22 + 22 - 2 = 42 df.
Using a t-distribution calculator, this p-value is of 0.0302.Since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.
A similar problem is given at https://brainly.com/question/25600813
How to add fractions with whole numbers.
Answer:
To add a fraction to a whole number, convert the whole number into a fraction, form a common denominator, and then add the two numerators.
Step-by-step explanation:
can someone explain how to do this for me? i don't get it like what am i supposed to do..
Answer:
You need to select ALL of the fractions listed that are GREATER than 1/2.
One of those is 3/4.
Step-by-step explanation:
Make all of the fractions equal to 1/2, and then compare to what they really are. For example, taking 3/4 and making it equal to 1/2, which would be 2/4. Since it is 3/4 though, we know that it is GREATER than 1/2.
This does not contradict rolle's theorem, since f '(0) does not exist, and so f is not differentiable on (−1, 1).
Answer:?
Step-by-step explanation:?
Elena and Jada are 12 miles apart on a path when they start moving towards each other. Elena answered a constant speed of 5 miles per hour, and Jada walks at a constant speed of 3 miles per hour how long does it take Jada to walk 12 miles
Answer:
i think it is 234 i am not sure
Step-by-step explanation:
Can you please give me that answer
Answer:
Obtuse Triangle
Step-by-step explanation:
When there is an angle with a measurement greater than 90 degrees, the triangle is an obtuse triangle.
14. A baby weighed 7 lb 3 oz at birth. Four months later, the baby
weighed 13 lb 5 oz. Find the percent of increase in the baby's
weight. Round to the nearest tenth
Answer:
I'm an island boii ️️
A bee travels 50 meters in 2 seconds. At this speed, how long would it take for the bee to travel 375 meters?
Calculate the bee's unit rate of meters per second.
What is the equation of constant proportionality? (y=kx)
Answer:
15 seconds
Step-by-step explanation:
Cassidy's gross income for the year included salary, $ 11,400; commission,
$ 17,720; and interest, $540. Her adjustments to income were payments to
a retirement plan, $1,000 and 2 exemptions at $4,000 each. Find her
taxable income.
A. $29,120
B. $9,000
C. $20,660
D. $24,120
Answer:
C. $20,660
Step-by-step explanation:
Letter c is the answer
x^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120
Factor completely given the following factors: (x+5) and (x+3)
There should be 6 factors (2 given, 2 binomials, and 2 trinomials.)
show steps
Answer:
(x+3)(x+5)(x-2)(x-1)(x^2+2x+4)(x^2+x+1) where the given one is bolded the 2 binomials is italicized and the 2 trinomials is underlined
Step-by-step explanation:
6p-9ps+4q-6qs
need help w this
Step-by-step explanation:
[tex]3p(2 - 3s) + 2q(2 - 3s) \\ (2 - 3s)(3p + 2q)[/tex]
I NEED THIS ASAP!!
Compare -7 and 5. Which statement is not true?
O A. -7 is farther from
O on a number line.
B. 1-71 > 151 C. The absolute value of 5 is greater than the absolute value of -7.
D. 5 is farther to the right on a number line.
Help me with math!!!!
Answer:
2nd option is correct
........................................
Use the graph to complete the statements.
The car gets
30
miles to the gallon.
After the car has traveled?
miles, 2 and two-thirds how many gallons of gas have been consumed.
Answer:
The answer is 80 miles 2/23
Step-by-step explanation:
I hope this helps
Streams, rivers, ponds, lakes, and wetlands are all kinds of ecosystems.
Answer:
True
Step-by-step explanation:
They can sustain themselves
Answer:
Natural freshwater ecosystems represent the terrestrial phases of the global hydrological cycle and include rivers, streams, lakes, ponds, wetlands, as well as groundwaters.
What is the result when the number 8 is increased by 25%?
Answer:
whats 25% of 8
2 2 2 2 each one worth 25%
so just add 2 to the 8 and thats 10 so 10 is 125% of 8
Andrew is starting his own lawn mowing business. He will charge $13.00 per hour. If Andrew works 67.4 hours per week, how much money will he earn each week?
By computing the product between his hourly wage and the number of hours he works per week, we will see that his weekly pay is $876.20
We know that Andrew charges $13.00 per hour, and we know that, in a week, he works for a total of 67.4 hours.
Then the money that he earns each week is just the product between the amount he wins per hour and the number of hours that he works each week.
This gives:
($13.00 h^-1)*(67.4 h) = $876.20
This means that Andrew wins $876.20 per week with this job.
If you want to learn more, you can read:
https://brainly.com/question/503614
solve pls brainliest
Step-by-step explanation:
first you need m and m is -15/5 that means -3
your function is mx =y so your function is -3x= y
-2x=-2x+8
i need help asap
step by step please
Answer:
0=8
Step-by-step explanation:
Color the star BLUE if the statement is true and RED if false
pwede p yong tamang answer hehe..bukas na kasi parasahan
Answer:
RED
BLUE
BLUE
RED
BLUE
MARK ME BRAINLIEST PLSSSSelect the correct answer from each drop-down menu.
1. Congruent, not congruent or supplementary
2 adjacent, corresponding or vertical
1. Congruent
2. verticle (across from each others)
A 12-in. steel cable weighs 0.428 lb. How much does 12.8 ft. weigh?
Answer:
5.48 lb
Step-by-step explanation:
12 inches is 1 foot.
12.8 times that length will have 12.8 times that weight:
12.8 · 0.428 lb = 5.4784 lb ≈ 5.48 lb
__
The given values have 3 significant figures, so the answer needs to be rounded to 3 significant figures.
Part C
How does a dilation by a scale factor of 1/2 change the coordinates of a shape?
Answer:
it cuts it in half
Step-by-step explanation:
and it makes it smaller and therfore it is cut in half hope that helps
a/6-1/2=1/3 thats 7 grade math
Answer: a = 5
Step-by-step explanation:
a/6-1/2=1/3
a/6 = 1/3 + 1/2
a/6 = 2/6 + 3/6
a/6 = 5/6
a = 5
Check:
5/6-1/2 = 1/3 ?
5/6 - 3/6 = 1/3?
2/6 = 1/3 ?
1/3 = 1/3 YES
Answer:
a = 5
Step-by-step explanation:
a/6 - 1/2 = 1/3
=> a/6 = 5/6
=> a = 5
Hoped this helped.
A radioactive isotope decays at the rate indicated by the exponential function A (t) =800 (1/2) ^ t/1500, where “t” is the time in years and A(t) is the amount of the isotope, in grams, remaining what is the initial mass of the isotope?
A. 200 grams
B. 900 grams
C. 800 grams
D. 400 grams
9/12 as an equivelant fraction
Answer:
3/4
Step-by-step explanation:
9/12
Divide the top and bottom by 3
9/3 = 3
12/3 = 4
The fraction becomes 3/4
A TV has a listed price of $771.95 before tax. If the sales tax rate is 9.25%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$843.36
Step-by-step explanation:
:))
Ms. Neville has 75 papers. she graded 60 papers, and she had a student teacher grade the rest. What percent of the papers did each person grade?
Answer:
Ms. Neville graded 80% of the papers and the student teacher graded 20% of them.
Step-by-step explanation:
Given a total of 75 papers, and Ms. Neville graded 60 of them, 15 remain for the student teacher. 75 - 60 = 15
Ms. Neville graded 60/75 = 0.8 = 80% of papers.
The student teacher graded 15/75 = 0.2 = 20% of papers.
Sanity check: 80% + 20% = 100%
-3(a-6)=-(4a-6)-3a
solve
Answer:
a = -3
Step-by-step explanation:
-3(a-6)=-(4a-6)-3a
-3a+18 = -4a+6-3a
-3a+18 = -4a-3a+6
-3a+18 = -7a+6
-3a+7a = 6-18
4a = -12
4a/4 = -12/4
a = -3
When multiplying exponents do you add them.