Answer:
The answer is below
Step-by-step explanation:
Given that:
Confidence interval (C) = 95%, mean (μ) = 85, standard deviation (σ) = 9, sample size (n) = 133
α = 1 - C = 1 - 0.95 = 0.05
α/2 = 0.025
The z score of α/2 (0.025) is the same as the z score of 0.475 (0.5 - 0.025) which is equal to 1.96.
The margin of error (E) is given as:
[tex]E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\E=1.96*\frac{9}{\sqrt{133} } \\\\E=1.53[/tex]
The confidence interval = (μ ± E) = (85 ± 1.53) = (83.47, 86.53)
The confidence interval is between 83.47 and 86.53.
4 glasses of milk and 2 snack bars have a total of 86 carbohydrates (carbs), and
2 glasses of milk and 3 snack bars have a total of 69 carbs. Determine how many carbs are in one glass of milk and in one snack bar.
Answer:
There are 15 carbs in one glass of milk and 13 carbs in one snack bar.
Step-by-step explanation:
Let m be the number of carbohydrates in one glass of milk and
Let s be the number of carbohydrates in one snack bar
Then according to given information
The system of equations will be:
[tex]4m+2s = 86\\2m+3s = 69[/tex]
Multiplying equation 2 by 2 and subtracting from equation 1
[tex]2(2m+3s) = 69*2\\4m+6s = 138[/tex]
Subtracting from equation 1
[tex]4m+2s-(4m+6s) = 86-138\\4m+2s-4m-6s = -52\\-4s = -52\\\frac{-4s}{-4} = \frac{-52}{-4}\\s = 13[/tex]
Putting s=13 in equation 1
[tex]4m+2(13) =86\\4m+26 = 86\\4m = 86-26\\4m = 60\\\frac{4m}{4} = \frac{60}{4}\\m = 15[/tex]
Hence,
There are 15 carbs in one glass of milk and 13 carbs in one snack bar.
which ordered pair lies on the graph of the function y= -2x +1
Note: You did not mention the ordered pair choices. So, I am letting you clear your concept about taking some sample ordered pairs which anyways would clear your concept.
Answer:
The ordered pairs (1/2, 0) and (0, 1) are on the graph.
The graph is also attached.
Step-by-step explanation:
Given the function
[tex]y= -2x +1[/tex]
Any ordered pair which may satisfy the equation would lie on the graph.
Let us determine the x and y-intercepts.
Determining the x-intercept
We know that the x-intercept can be determined by setting y=0, and the solving for x. so
[tex]y= -2x +1[/tex]
0 = -2x+1
-2x = -1
Divide both sides by -2
x = 1/2
Thus, the x-intercept is (1/2, 0)
Determining the y-intercept
We know that the y-intercept can be determined by setting x=0, and the solving for y. so
[tex]y= -2x +1[/tex]
y = -2(0)+1
y = 1
Thus, the x-intercept is (0, 1)
Thus, the ordered pairs (1/2, 0) and (0, 1) are on the graph.
The graph is also attached.
The ordered pairs (1/2, 0) and (0, 1) are on the graph.
Let us plug x = 0.
So,
[tex]y=-2x+1\\y=-2(0)+1\\y=1[/tex]
So the point is (0, 1).
Let us plug x = 1/2.
So,
[tex]y=-2x+1\\y=-2\left(\frac{1}{2}\right)+1\\y=-1+1\\y=0[/tex]
So the point is (1/2, 0).
Learn more about ordered pairs: https://brainly.com/question/1528681
Sue can read 2 books in 2.5 hours while John reads 3 books in 5 hours. Compare the rates at which each child reads. Who can read faster? How do you know?
PLEASE HURRY
What is the gross earnings for a person who has $30,000 in total sales, $2250 in Returns and Allowances, and a rate of commission of 6%?
Answer:
$1800
Step-by-step explanation:
$30000x.06=1800
Answer:
I believe the answer is 1,800
Step-by-step explanation:
I could be wrong but hope this helps :)
WILL GIVE BRAINLEIST HELP ASAP
Answer:
x = 12
y = 9
Step-by-step explanation:
[tex]\triangle ACD \cong \triangle BCD.. (given) \\\\
\therefore AC \cong BC\\\\
\therefore m(AC) = m(BC) \\\\
\therefore 2x = x + 12\\\\
\therefore 2x - x = 12\\\\
\therefore x = 12\\\\
Similarly \\\\
BD \cong AD\\\\
\therefore m(BD) = m(BD) \\\\
2y - 4= y + 5\\\\
2y - y = 4 +5\\\\
y = 9
[/tex]
Please help, find the exterior angles of the two polygon.
Answer:
6) 106 degrees
7) each 'x' angles measures 118 degrees
Step-by-step explanation:
The sum of the measures of all exterior angles is always 360 degrees.
Factor out the coefficient of the variable.
3.4c+10.2
Answer:
1.7(2c+6)
Step-by-step explanation:
Find the value
of
(3x + 3y)^2
If xy = =-2 and x^2+y^2=5
Step-by-step explanation:
9x^2 + 9y^2 + 18xy
9(5)+18(-2)
45-36
9
y = 1/6x + 8
Identify the y intercept?
Answer:
(0,8)
Step-by-step explanation:
Emma wants to build a fence around the perimeter of her lawn. Each foot of fence costs $2. The rectangular lawn has an area of 364 square feet and a width of 14 feet. How much will the entire fence cost?
Answer:
[tex]\$160[/tex]
Step-by-step explanation:
To find the cost of the entire fence, we need to first determine the lawn's length before calculating its perimeter.
Area of rectangular lawn = [tex]lw[/tex] (formula for the area of a rectangle)
[tex]364=14l[/tex]
[tex]l=26[/tex] feet
Now that we have the lawn's length and width, we can calculate the perimeter:
Perimeter [tex]= 2l+2w[/tex] (formula for the perimeter of a rectangle)
[tex]=2(26)+2(14)[/tex]
[tex]=80[/tex] feet
Since each foot of lawn costs $2, then the cost of the entire fence will be:
[tex]80\times2 = \$160[/tex]
∴ The entire fence costs [tex]\$160[/tex].
Hope this helps :)
Solve for the value of w.
(8w+6)"
2(4+3)
hope it helps ;)
What’s 4/5 of 3 And what’s 2/9 of 20
Answer:
4/5 of 3 = 12/5
2/9 of 20 = 40/9
Step-by-step explanation:
Answer:
1. 2.4
2. 4.444
Step-by-step explanation:
First, let's look at 4/5 of 3. We can set it up like this:
[tex]3 * \frac{4}{5}[/tex]Next, multiply the 3 by the 4 to get this:
[tex]\frac{12}{5}[/tex]Then, if a calculator is permitted, we get the answer of 2.4.
The next thing to do would be to repeat the steps for 2/9 of 20.
[tex]20 * \frac{2}{9}[/tex]
[tex]\frac{40}{9} = 4.444[/tex]
Hope this helps!!
- Kay :)
Shareen walked a total of 9.52 miles in a walk-a thon. If her average speed was 2.8 miles per hour, how long did it take Shareen to complete the walk?
Answer:
t = 3.4 hour
Step-by-step explanation:
Distance to be covered by Shareen, d = 9.52 miles
The average speed of Shareen, v = 2.8 mph
We need to find the time taken by Shareen to complete the walk.
The formula for average speed,
v = distance/time
[tex]t=\dfrac{d}{v}\\\\t=\dfrac{9.52}{2.8}\\\\t=3.4\ \text{hour}[/tex]
Hence, it will take 3.4 hour to complete the walk.
Help me please what should I do
Answer:
It’s either 1 or 2
Step-by-step explanation:
Answer:
Mp=QN
Step-by-step explanation:
In the figure, angle K measures 45°. What is the measurement of angle C? A. 38° B. 45° C. 90° D. 98°
Answer:
B. 45°Step-by-step explanation:
C = 90° - J as CGJ is right triangleJ = 90° - K = 90° - 45° = 45° as AKJ is right triangleC = 90° - 45° = 45°Option B is correct
Answer:
45°
Step-by-step explanation:
PLS HELP will give brainliest answer both
Answer:
8 3/5
false
Step-by-step explanation:
The amplitude for the trigonometric functions tangent, cotangent, secant, and cosecant are not defined
A.) True
B.) False
Answer:
True
Step-by-step explanation:
They do not have an amplitude.
c. 3 bananas cost $0.99. At this rate, how much do 5 bananas cost? Explain how you know.
Answer:
$1.65
Step-by-step explanation:
You can get the cost of each banana by using the division operation. All you have to do is to divide $0.99 by 3.
0.99 ÷ 3 = $0.33Each banana costs $0.33
Now that you know the cost of each banana, you may now get the cost of 5 bananas by using the multiplication operation. All you have to do is to multiply $0.33 by 5.
0.33 x 5 = $1.65Therefore, 5 bananas cost $1.65.
6. $80 is divided between Ethan and Michael such
that one quarter of Ethan's share is equal to one
sixth of Michael's share. How much does each of
them receive?
Answer:
it could be 32 if im correct
Step-by-step explanation:
Answer:
32 is correct........
determine the truth values of p, q, and r that would make the statement false. Explain your reasoning. p→(q∨~r)
======================================
Explanation:
For a conditional to be false, the antecedent must be true and the conclusion must be false. So the format is (true) --> (false) for the overall conditional to be false.
Since the antecedent must be true, this means p = true. We can shorten this to say p = T, where T stands for "true".
Now we must make (q v ~r) be false.
This is only possible if both pieces q and ~r are false. An "or" statement, aka disjunction, is true if either piece is true; otherwise it's false.
So q = F, where F stands for "false" and ~r = F as well.
If ~r = F, then r = T. Recall the squiggly line or tilde is basically the negation operator. It does the opposite of the statement.
32/8 = 28/x
Please select the best answer from the choices provided
A: x = 4
B: x = 28
C: x = 8
D: x = 7
32/8=28/x
we multiply by x
x*32/8=28
we multiply by 8/32
x=28*8/32
8 divides by 32
x=28/4=7
D: x = 7
Answer:
D
Step-by-step explanation:
Given
[tex]\frac{32}{8}[/tex] = [tex]\frac{28}{x}[/tex] ( cross- multiply )
32x = 224 ( divide both sides by 32 )
x = 7 → D
-15.8= y-24.3 please solve and get back quickly
Answer:
Y=17/2=8.500
I just took a test with this question
An office supply company conducted a survey before marketing a new paper shredder designed for home use. In the survey, 80% of people used the shredder were satisfied with it. Because of the high acceptance rate, the company decided to make the new shredder. Assume that 80% of all people who use it will be satisfied. On a certain day 7 customers bought the shredder.
Let x denote the number of customers in this sample of 7 who will be satisfied with this shredder. Using the binomial probabilities table, obtain the probability distribution of x and fill in the table
x 0 1 2 3 4 5 6 7
p(x)(for each number)
Answer:
Probability distribution of x
Step-by-step explanation:
Binomial Probability = N c x . (P)^x . (Q)^ n-x
N = Total trials, 7 customers here ; P = Prob of success, 0.80 satisfied here ; x = No. of success (1....7) ; Q = Prob of fail, 0.20 not satisfied here
P (x = 1) = 7c1 (0.80)^1 (0.20)^7 = 0.00035
P (x = 2) = 7c2 (0.80)^2 (0.20)^6 = 0.0043
P (x = 3) = 7c3 (0.80)^3 (0.20)^5 = 0.0286
P (x = 4) = 7c4 (0.80)^4 (0.20)^4 = 0.1146
P (x = 5) = 7c5 (0.80)^5 (0.20)^3 = 0.2752
P (x = 6) = 7c6 (0.80)^6 (0.20)^2 = 0.3670
P (x = 7) = 7c7 (0.80)^7 (0.20)^1 = 0.2097
6th grade math ok thanks
192.78
Hope this helps!
✧◝(⁰▿⁰)◜✧
Answer:
192.78
Step-by-step explanation:
0.34 X 567 = 192.78
2x-20 solve for x in an equilateral triangle
Answer:
x=40
Step-by-step explanation:
triangle = 180 degrees
Equilateral so 3(2x-20) = 180
6x-60=180
6x=240
x=40
Hope this helps!
Please hit the crown!
Merry Christmas!x
Lots of points due today help
Answer: ok
Step-by-step explanation:
11) 75 percent. this is bc 32 - 8 is 24, and 24 of 32 as a percentage is 75 percent.
12) 25 percent, bc 15 percent of 60 is 25 percent
Answer: 75%
75%
Step-by-step explanation:
11. 32-8=24 boys
24 boys / 32 in the class = 0.75
0.75 x 100 = 75 %
12. 45/60= 0.75 or 75%
Write an equation for the line perpendicular to 4x - 12y = 2 and passing through point (10, -1)
Answer:
3x+y=-31
Step-by-step explanation:
[tex]4x - 12y = 2\\12y = 4x-2\\y=\frac{x}{3}-\frac{1}{6}[/tex]
Slope of perpendicular line is -3.
[tex]y=-3x+b[/tex]
Sub in the point (10, -1)
[tex]-1=-3(10)+b\\-1=30+b\\b=-31\\y=-3x-31\\3x+y=-31[/tex]
The relationship between the number of calories Hannah burns while working out can be represented by y = 12x, where x is the number of minutes and y is the number of calories burned. Which of the following could be the graph of this situation?
Answer: i canot make a graph but i will do how many caloris were burned ever minute
Step-by-step explanation:
Which statement best describes how the media influence policy development?
The media keep lawmakers informed of what is happening in government.
VThe media inform the public, who can then give their opinions to policymakers.
NThe media present opinions and ideas that inspire policymal kers
The media make it easier for government offcials to com
hone another.
M O
Answer:
its A on edge 2021
Step-by-step explanation:
your welcome :)
Does anyone know the answer to this problem. If so please help.