Answer:
y = -9 / 7x + 109 / 7
Step-by-step explanation:
To find the equation of any line, you must find the slope and y-intercept (when writing in slope-intercept form). In this case, we can find both of these values by using the two coordinate pairs that are given:
Slope - the change in y over the change in x
9 / -7 = -9 / 7slope = -9 / 7y-intercept - when x = 0Right now, since we have the slope, we know the equation will look like this: y = -9 / 7x + b, b is what we are trying to find, the y-intercept. To find b, we can substitute a given coordinate pair that we know will fit this line and then solve:
13 = -9 / 7 x 2 + b13 = -18 / 7 + b91 / 7 + 18 / 7 = b109 / 7 = bAfter finding both the slope and y-intercept, we can now combine them together to form the equation of the line:
y = -9 / 7x + 109 / 7
Hope this helps!!
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
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:
A company spent $2415 on a plane ticket for seven employees all the tickets cost the same amount how much did each ticket cost
Answer:
$345
Step-by-step explanation:
2415 divided by 7 equals your total per ticket.
Module 3 DBA: What key features can be identified from graphs of polynomials of higher-
degrees and explain how the key features can be used sketch the graph of the polynomial
function? Remember to include how solutions are represented.
to be honest i dont remember srry
Answer:
Polynomials are algebraic expressions that contain more than two terms. AN example would be: f(x) = x^3 + x^2 + x +1. This equation contains three terms, with the 3rd degree as its highest term. It also means that the graph passed three x-intercepts. This depends in the highest degree. So, the first thing you do is plot the intercepts because for sure, the graph will pass there.
Step-by-step explanation:
Which equation represents the same line as the points in the table
Answer: 1st one
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%
Which slope is perpendicular to slope m= 5/6
Answer:
-6/5
Step-by-step explanation:
The slope of perpendicular lines multiply to -1
5/6 * p = -1
Multiply each side by 6/5
6/5 * 5/6 * p = -1 * 6/5
p = -6/5
The slope of the perpendicular line is -6/5
-2x=-2x+8
i need help asap
step by step please
Answer:
0=8
Step-by-step explanation:
guys i need help at least 1 question please
i will give brainliest
Answer:
most of them would be 0
Step-by-step explanation:
Please help very confusing
Can someone explain this to me? No Links no bots.
Answer:
Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function. This set is the values in a function such as ). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an value in.
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:
-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
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 PLSSSsolve 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
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
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:?
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
6p-9ps+4q-6qs
need help w this
Step-by-step explanation:
[tex]3p(2 - 3s) + 2q(2 - 3s) \\ (2 - 3s)(3p + 2q)[/tex]
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
can y'all help me with this. Thanks
Answer:
x = 64°
Step-by-step explanation:
180 makes up a trinagle. For this triangle, two sides aproaching 52 degrees. Meaning The other two angles will be the same. So, 180-52 to get 128. Then, because there is 2 needing an angle, then you divide 128 by 2 to get 64. 64° for each side thats not labeled. So the answer is, x=64°
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.
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 ️️
Lin is baking cakes. Each cake needs 34 cup of brown sugar, and Lin uses 412 cups of brown sugar for the entire batch of cakes. How many cakes does Lin bake?
Answer:
12
Step-by-step explanation:
412 ÷ 34 = 12.1176...
Round down to 12 cakes
If Each cake needs 34 cup of brown sugar, and Lin uses 412 cups of brown sugar for the entire batch of cakes then Lin can bae 12 cakes.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that Lin is baking cakes. Each cake needs 34 cup of brown suga
Lin uses 412 cups of brown sugar for the entire batch of cakes
We need to find the number of cakes Lin bake with 412 cups of brown sugar.
To find this we have to divide 412 by 34 cup.
412/34
Four hundred twelve by thirty four
12.111
Hence, if Each cake needs 34 cup of brown sugar, and Lin uses 412 cups of brown sugar for the entire batch of cakes then Lin can bae 12 cakes.
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Which expression is equivalent to 3^4 times 3^-9
Answer: 3^4 · 3^-9 = 3^4 · 1/3^9
Step-by-step explanation:
Solve for g.
7 − –3g = 13
g =
Answer: g=2
Step-by-step explanation:
Remove the parentheses
7- (-3)g=13
Move the constant to the right
7+3g=13
Calculate
3g=13-7
Divide both sides
39=6
Answer:
g=2
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.
Mr. Chaplin measured his son’s rectangular bedrooms for new carpeting. Whose bedroom has the greatest area?
George’s bedroom 3.5 meters by 4.4 meters
Steven’s bedroom 3.8 meters by 3.8 meters
Andy’s bedroom 3.6 meters by 4.1 meters
Answer:
Step-by-step explanation: multiply each and then you choose which one is greater
which is George’s bedroom 15.4
The area of George's bedroom is the greatest with 15.4 sq meters.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know the area of a rectangle is (length×width).
George’s bedroom 3.5 meters by 4.4 meters,
∴ The area of George's bedroom is (3.5×4.4) sq meters.
= 15.4 sq meters.
Steven’s bedroom 3.8 meters by 3.8 meters,
∴ The area of Steven's bedroom is (3.8×3.8) sq meters.
= 14.44 sq meters.
Andy’s bedroom 3.6 meters by 4.1 meters.
∴ The area of Andy's bedroom is (3.6×4.1) sq meters.
= 14.76 sq meters.
So, the area of George's bedroom is the greatest.
learn more about rectangles here :
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Help me with math!!!!
Answer:
2nd option is correct
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