Answer: E. We are 95% confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.
Step-by-step explanation:
The interpretation of a 95% confidence interval: A person can be 95% confident that the true population parameter lies in it.
Given: A 95% confidence interval for the slope of the regression line relating the number of grams of carbohydrates and the number of kilocalories per 100-gram sample of various raw foods is given by (2.505,6.696).
Interpretation: We are 95% confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-g sample of various raw foods is between 2.505 and 6.696.
Correct option: E
Can someone pls help me with this question
CAN SOMEONE HELP ME and please tell me the right answer this test means a lot to me :(
Which of the quadratic functions has the narrowest graph?
Step-by-step explanation:
The equation with the highest leading coefficient (the number before the x^2 term) will have the narrowest graph. Here, we have to choose between -1, 1/6, 2, and 1/8. The highest number out of all of those numbers is 2, so y = 2x^2 will have the narrowest graph.
In AWXY, X = 700 cm, w = 710 cm and ZW=24°. Find all possible values of ZX, to
the nearest 10th of a degree.
Answer:
{}
Step-by-step explanation:
Suppose that 93% of approximately 1000 total dogs sold by a shelter are up-to-date on their shots. Administration plans to take an SRS of 40 dogs sold by the shelter to see what proportion of the dogs sampled are up-to-date on their shots. What are the mean and standard deviation of the sampling distribution of the proportion of dogs who are up-to-date on their shots? Choose 1 answer:
Answer: μp^ = 0.93
σp^ = √0.93(0.07)/40
Step-by-step explanation:
Clara bought 16 cases of water bottles. There were 12 water bottles in each case. Four students wrote and solved equations to find b, the number of bottles that Clara bought. Which student wrote and solved the equation correctly?
Maya’s work:
StartFraction b Over 12 EndFraction = 16. b = 1.3
Larissa’s work:
12 b = 16. b = 1.3
Sally’s work:
StartFraction b Over 12 EndFraction = 16. b = 192.
Anika’s work:StartFraction 12 Over b EndFraction = 16. b = 192.
Answer:
Sally is correct
Step-by-step explanation:
[tex]\frac{b}{12} =16[/tex]
to solve for b we can multiply both sides by 12 to get b alone.
b = 16 × 12
b = 192
pls help me somebody
Answer:
it is 36 inches
Step-by-step explanation:
A representative sample of 50 students from a high school is surveyed. Each student is asked what science class he or she
is taking
This table shows the responses.
Science Class
Physics
Chemistry
Blology
Earth Science
Health Science
Number of
Students
6
10
18
4
12
Select all of the statements that are valid based on the survey results..
The statements that are valid based on the survey results are:
About 20% of the students are taking chemistry.
About twice as many students are taking health science than are taking physics.
For every 150 students we could predict that at least 18 of the students are taking physics.
Option A, B, and C are correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
About 20% of the students are taking chemistry:
To calculate the percentage of students taking chemistry, we divide the number of students taking chemistry by the total number of students surveyed and multiply by 100:
10/50 x 100% = 20%
Therefore, the statement "About 20% of the students are taking chemistry" is valid based on the survey results.
About twice as many students are taking health science than are taking physics:
The number of students taking health science is 12, and the number of students taking physics is 6. To see if twice as many students are taking health science than physics, we can compare the ratios:
Health science : Physics = 12 : 6 = 2 : 1
Since the ratio is 2:1, we can conclude that the statement "About twice as many students are taking health science than are taking physics" is valid based on the survey results.
For every 150 students, we could predict that at least 18 of the students are taking physics:
To make this prediction, we need to calculate the proportion of students taking physics based on the survey results:
6/50 = 0.12
To predict how many students are taking physics in a larger population, we can multiply the proportion by the size of the population:
0.12 x 150 = 18
Therefore, the statement "For every 150 students we could predict that at least 18 of the students are taking physics" is valid based on the survey results.
For every 25 students, we could predict that at least 4 of the students are taking Earth Science:
To make this prediction, we need to calculate the proportion of students taking Earth Science based on the survey results:
4/50 = 0.08
To predict how many students are taking Earth Science in a larger population, we can multiply the proportion by the size of the population:
0.08 x 25 = 2
Therefore, the statement "For every 25 students we could predict that at least 4 of the students are taking Earth Science" is not valid based on the survey results, as we would predict that at least 2 students are taking Earth Science, not 4.
Therefore,
The statements that are valid based on the survey results are:
About 20% of the students are taking chemistry.
About twice as many students are taking health science than are taking physics.
For every 150 students we could predict that at least 18 of the students are taking physics.
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A box of 15 cookies cost nine dollars what is the cost for one cookie
Answer:
9:15 = 0.6
answer : 0,6
.............
A sealed room in a hospital, measuring 5m wide, 10m long, and 3m high, is filled with pure oxygen.
One cubic meter volume of oxygen contains 1000L gas, and 22.4L of oxygen gas contains
6.02 x 1023 molecules (Avogadro's number).
A. 2.1976 x 100 molecules
B. 3.0051 x 1026 molecules
C. 4.0313 x 1027 molecules
D. 7.5014 x 1030 molecules
Answer:
Option C. 4.0313×10²⁷ molecules.
Step-by-step explanation:
We'll begin by calculating the volume of oxygen in the room. This can be obtained by calculating the volume of the room since the gas will eventually fill the room.
Width (W) = 5 m
Length (L) = 10 m
Height (H) = 3 m
Volume (V) =?
V = L × W × H
V = 10 × 5 × 3
V = 150 m³
Thus, the volume of oxygen is 150 m³
Next, we shall convert 150 m³ to L. This can be obtained as follow:
1 m³ = 1000 L
Therefore,
150 m³ = 150 m³ × 1000 L / 1 m³
150 m³ = 150000 L
Finally, we shall determine the number of molecules of oxygen in the room. This can be obtained as follow:
22.4 L = 6.02×10²³ molecules
Therefore,
150000 L = 150000 × 6.02×10²³ / 22.4
150000 L = 4.0313×10²⁷ molecules
Thus, the number of molecules of oxygen in the room is 4.0313×10²⁷ molecules
Larry read a 400-page book. He read at a rate of 10 pages per day for d days.
Answer:
It took him 40 days to complete the book.
Step-by-step explanation:
Divide 400 by 10 and you should get 40 as an answer.
Answer:
d=400/10
Hope this helps
The factors of 30 are 1 2 3 4 5 6 10 15 and 30 Which if these are prime factors??
Answer: 1,2,3,5,
Step-by-step explanation: 1,2,3,5 are prime numbers because they are not a product of two smaller numbers.
1. Sam rolls a fair dice and flips a fair
coin. What is the probability of
obtaining an odd number and a head?
Use a sample space diagram to help.
See below for an example.
Answer:
Mark brainliest pls
Step-by-step explanation:
People have given you correct answers but not explained why, perhaps because it seems so obvious.
One of Bayes laws of probability says that if two events e1 and e2 are independent (unrelated), then the probability of both happening together is the product of their individual probabilities.
The die and the coin are independent events. Each is a 50% chance (odd number on a die, heads on a coin). Thus the probability of both happening together is 50% * 50% = 25%.
The probability of obtaining an odd number and a head is 1/4.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Let A be Sam rolls a fair dice.
Sample space, s = { [tex]1,2,3,4,5,6[/tex] }
⇒ [tex]n(s)=6[/tex]
An event A is obtaining an odd number, e = { [tex]1,3,5[/tex] }
⇒ [tex]n(e)=3[/tex]
The probability of A is obtaining an odd number,
[tex]P(A)=\frac{n(e)}{n(s)}[/tex]
⇒ [tex]P(A)=\frac{3}{6}[/tex]
⇒ [tex]P(A)=\frac{1}{2}[/tex]
Now, let B be Sam flips a fair coin.
Sample space, s = { [tex]H,T[/tex] }
⇒ [tex]n(s)=2[/tex]
An event B is getting a head, e = { [tex]H[/tex] }
⇒ [tex]n(e)=1[/tex]
The probability of B is getting a head,
[tex]P(B)=\frac{1}{2}[/tex]
Both A and B are independent events.
Thus the probability of obtaining an odd number and a head is
[tex]P(e)= P(A)P(B)[/tex]
⇒ [tex]P(e)=(\frac{1}{2})( \frac{1}{2} )[/tex]
⇒ [tex]P(e)=\frac{1}{4}[/tex]
Hence we can conclude that the probability of obtaining an odd number and a head is 1/4.
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Please answer number 7 I’ll give brainliest
Answer:
A $48.15
Step-by-step explanation:
7% of $45 is 3.15 so you would add 3.15 to $45 to get $48.15
Madeline deposited $750 into an investment account that earns 1.5% interest compounded annually. If no deposits nor withdrawals are made, how much in dollars will be in the account after 15 years?
A $1,687.50
B $937.67
C $918.75
D $870.40
Determine the coordinates of the y-intercept of the function shown in the graph.
A)
(0, -1)
B)
(2,0)
9
(0,2)
D)
(-1,0)
Includes the photo for the question
Fill in values for the table using the function
Answer/Step-by-step explanation:
Given:
f(x) = -3x + 4
✔️First row, find x when f(x) = 4:
Substitute f(x) = 4 into the equation
4 = -3x + 4
4 - 4 = -3x
0 = -3x
Divide both sides by -3
0/-3 = x
x = 0
✔️ Second row, find f(x) when x = -1:
Substitute x = -1 into the equation
f(-1) = -3(-1) + 4
f(-1) = 3 + 4
f(-1) = 7
✔️ Third row, find f(x) when x = 1:
Substitute x = 1 into the equation
f(1) = -3(1) + 4
f(1) = -3 + 4
f(1) = 1
✔️ Fourth row, find x when f(x) = 9:
Substitute f(x) = 9 into the equation
9 = -3x + 4
9 - 4 = -3x
5 = -3x
Divide both sides by -3
5/-3 = x
x = -⁵/3
what is the length of PR?
Answer:
Step-by-step explanation:
Alex finds a remnant of landscaping fabric at a garden store . The fabric is the standard width , with length 9.7 m . Alex needs twelve 0.85 - m pieces for a garden patio . a ) Will Alex have more fabric than she needs ? If so , how much more ? b ) Will Alex need more fabric ? If so , how much more ?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Length of remnant fabric = 9.7m
Number of 0.85m length needed for patio = 12
Total length needed = (0.85 * 12) = 10.2m
The length of fabric needed is more than the length of remnant fabric found ;
10.2 m - 9.7m = 0.5m
Hence, Alex will need 0.5m more fabric
ASAP Please!
Enter the amplitude of the function. f(x)=5cosx
Amplitude of f(x)=5cosx
= 5
what's an amplitude example?The amplitude of a periodic variable is a measure of its change in a single period. The amplitude of a non-periodic signal is its magnitude as compared with a reference value. there are numerous definitions of amplitude, which can be all functions of the magnitude of the differences between the variable's extreme values.
It refers to most displacement from the equilibrium that an object in periodic motion show. as an example, a pendulum swings through its equilibrium point (straight down), and then swings to a maximum distance away from the center.
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What is the answer to this?
9514 1404 393
Answer:
$125 per car
Step-by-step explanation:
The problem statement tells you Jazmin's pay goes up by $125 for each car she sells. That rate of change is $125 per car.
Which number describes the median of the data given in the table?
Answer:
how can i answer?
Step-by-step explanation:
15) Suzanne bought 3 quarts of orange juice, 4 quarts of apple juice, and 5 quarts of
water at the store. How many gallons of liquid did she buy?
Answer:
3 liquid gallons
Step-by-step explanation:
3 + 4 + 5 = 12
12 ÷ 4 = 3 liquid gallons
There are 378 calories in 7 servings. Find the unit rate. HELLPPP
Answer:
54 calories per serving
Step-by-step explanation:
if your question is how many calories per serving you just divide the amount of calories by the serving and you get how much per serving
65 is what percent of 120?
(round to the nearest percent)
Answer:Lets say 60 is rounded to 60. So 60 is half of 120 , which means that the answer is a little bit more than 50% since 50x2=100%
So 50 plus the 5 we took away from the 60 in the beginning is 55%
I think your answer is 55%
Step-by-step explanation:
Your answer is 55%
The percentage of 65 out of 120 will be 54.167%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The whole numbers are 65 and 120.
Then the percentage is written as,
P = (65 / 120) x 100
P = 0.54167 x 100
P = 54.167%
The percentage of 65 out of 120 will be 54.167%.
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Lee has three dollars. Chris has three dollars. Lee and Chris wants to but their mom a gift. The gift costs five dollars and fifty cents. A gift tags costs twenty-eight cents. Lee and Chris each want to pay and equal amount for the gift and tag. What do Lee and Chris each pay for the gift and tag?
(PLEASE HELPPP I'LL GIVE YOU A LOT OF POINTS!!!)
Answer:
well... at the end theyd both end up with a quarter, they both pay
Step-by-step explanation:
3.25
Answer: They each should pay $2.89
Step-by-step explanation: This is because if you add the price for the gift and the tag together you get $5.78 and then if you divide that by two then you get your answer.
You want to estimate the mean hourly yield for a process that manufactures an antibiotic. You observe the process for 100 hourly periods chosen at random, with the results of 32 ounces per hour and a standard deviation of 7 ounces. Calculate the 95% margin of error (in ounces per hour). (Round your answers to three decimal places.)
Answer:
The margin of error for the 95% confidence interval is of 1.389 ounces per hour.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 100 - 1 = 99
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 99 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9842
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Then
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
[tex]M = 1.9842\frac{7}{\sqrt{100}}[/tex]
[tex]M = 1.389[/tex]
The margin of error for the 95% confidence interval is of 1.389 ounces per hour.
HELP PLSS IT'S VERY IMPORTANT
Determine the area of the composite figure.
Determine the perimeter of the composite figure.
Answer:
area = 255 [tex]m^{2}[/tex]
perimeter = 20+6.7+8+8+15+26 = 83.7m
Step-by-step explanation:
top left triangle - base is 3 because (20-8-9). so 1/2 bh = 1/2 (3) (6) = 9
left rectangle = l x w = 20 x 6 = 120
middle square = l x w = 8 x 9 = 72
lower right triangle = height is 12 because (26-8-6), so 1/2 bh =1/2 (9)(12) = 54
9+120+72+54 = 255
Which statement best explains whether △ABC is similar to △DEF?
A) The triangles are not similar because 613≠820.
B) The triangles are similar because 613=820.
C) The triangles are similar because 820=1025.
D) There is not enough information to determine whether the triangles are similar.
A). They are not similar, because 6/13 is not equal to 8/20
For triangles to be similar, the ratios of sides need to be the same (shortest to shortest, middle to middle, longest to longest). The shortest sides are 6 and 13, respectively, the middle ones are 8 and 20. Because 6/13 is not equal to 8/20, the triangles are not similar.
The statement best explains whether △ABC is similar to △DEF is (A) The triangles are not similar because 613≠820.
What are similar triangles?Similar triangles are triangles that have similar corresponding side lengths
The corresponding sides of the triangles are:
Triangle A Triangle B
6 13
8 20
10 25
Calculate the ratios
Ratio = 6/13
Ratio = 8/20
The ratios are not equal.
Hence, the triangles are not similar
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Dad spends $227.06 at the grocery store,$95.55 at the shoe store,and $35.16 at the dry cleaners how much did dad spend in all?
Answer:
$357.77
Step-by-step explanation:
Add all of the figures together to find the answer
227.06 + 95.55 + 35.16 = 357.77