Answer:
a)The 80% of confidence interval for the Population 'μ' is
(29.9121 ,33.4879)
b) Margin of error of mean ' 'μ' is = 1.7879
Step-by-step explanation:
step(i):-
Given random sample 'n' =28
The mean of the sample x⁻ =31.7 min
The standard deviation of the sample's' =7.2
Step(ii):-
80% of confidence intervals:
The 80% of confidence interval for the Population 'μ' is determined by
[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } )[/tex]
Degrees of freedom
γ = n-1 = 28-1 =27
[tex]t_{\frac{\alpha }{2} } = t_{\frac{0.20}{2} } = t_{0.1} = 1.314[/tex]
The 80% of confidence interval for the Population 'μ' is determined by
[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } , x^{-} + t_{\frac{\alpha }{2} } \frac{s}{\sqrt{n} } )[/tex]
[tex](31.7-1.314 X \frac{7.2}{\sqrt{28} } , 31.7+1.314 X\frac{7.2}{\sqrt{28} } )[/tex]
(31.7 -1.7879 , 31.7 +1.7879)
(29.9121 ,33.4879)
b)
Margin of error of mean is determined by
[tex]M.E = {\frac{t_{\frac{\alpha }{2} } s}{\sqrt{n} } }[/tex]
[tex]M.E = {\frac{1.314 X 7.2}{\sqrt{28} } }[/tex]
Margin of error =1.7879
Find the area of the trapezoid. points are (-5,-3)(4,-3)(6,-7)(-7,-7)
Answer:
44 square units
Step-by-step explanation:
The area of a trapezoid with bases b₁ and b₂ and height h is given by the formula
[tex]A=\left(\dfrac{b_1+b_2}{2}\right)h[/tex]
If you're wondering how we get this formula, check the attached illustration (remember the area of a parallelogram is its base multiplied by its height)! Moving on to our trapezoid, the pairs of points (-5,-3)(4,-3) and (6,-7)(-7,-7) form two horizontal segments, which form b₁ and b₂, and our height is the distance between the y-coordinates -3 and -7, which is 4. We can find b₁ and b₂ by finding the distance between the x coordinates in their pairs of points:
[tex]b_1=|-5-4|=|-9|=9\\b_2=|6-(-7)|=|6+7|=13[/tex]
Putting it altogether:
[tex]A=\left(\dfrac{9+13}{2}\right)(4)=\left(\dfrac{22}{2}\right)(4)=(11)(4)=44[/tex]
So the area of our trapezoid is 44.
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT PPLY
Answer:
F
Step-by-step explanation:
x = 26-9
Answer:
F. 17
Step-by-step explanation:
There would only be one answer choice, and to find this, all you can do is subtract 9 from both sides, like so:
x + 9 = 26
- 9 - 9
________
x = 17
This means that when you plug in 17 for x, the answer will come out to 26.
Ryan randomly draws equal sized cards labeled with letters A, B, C, D and F from a hat and records the results in the table. Find the theoretical and experimental probabilities of randomly drawing a card that is labeled with the letter C. Frequency A 36, B 50, C 111, D 59, F 44 total 300
Answer:
We have 5 cards, and if we assume that the probability of selecting a given card at random is the same for all the cards, then the probability of randomly drawing the card C out of the 5 cards is equal to:
P = 1/5 = 0.20
Now, for the experimental probability, we can see that out of 300 draws, 111 times he drew the card C.
The experimental probability is:
Pe = 111/300 = 0.37
You can see that the experimental probability is bigger than the theoretical one, this may happen for two things.
Not enough draws: as the number of draws, we should expect to see that the experimental probability gets closer and closer to the theoretical one.
The cards have some difference: There is a chance that card C has a difference with the other cards, and this difference makes that when Ryan draws a card has a bigger probability of drawing this one.
The lengths of pregnancies are normally distributed with a mean of 250 days and a standard deviation of 15 days.
a. Find the probability of a pregnancy lasting 308 days or longer?
b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.
Answer:
a) 0.005% probability of a pregnancy lasting 308 days or longer
b) The pregnancy length that separates premature babies from those who are not premature is 229 days.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 250, \sigma = 15[/tex]
a. Find the probability of a pregnancy lasting 308 days or longer?
This is 1 subtracted by the pvalue of Z when X = 308. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{308 - 250}{15}[/tex]
[tex]Z = 3.87[/tex]
[tex]Z = 3.87[/tex] has a pvalue of 0.99995
1 - 0.99995 - 0.00005
0.005% probability of a pregnancy lasting 308 days or longer
b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.
The 8th percentile is X when Z has a pvalue of 0.08. So it is X when Z = -1.405.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.405 = \frac{X - 250}{15}[/tex]
[tex]X - 250 = -1.405*15[/tex]
[tex]X = -1.405*15 + 250[/tex]
[tex]X = 229[/tex]
The pregnancy length that separates premature babies from those who are not premature is 229 days.
A pollen grain is 3/10 to the third power centimeters wide. In an illustration, the pollen grain is 6 centimeters 10 wide. How much larger is the illustration than the actual pollen?
Answer:
The illustration is approximately 226 times larder than the actual pollen grain.
Step-by-step explanation:
First of all, we have to write out the size of the actual pollen grain in a manner that is easy for us to work with.
This will be
[tex](\frac{3}{10}) ^{3}=0.027cm[/tex] wide
The original width of the pollen is 0.027 cm.
Next,
We can take the width of the illustration to be 6.10 cm wide.
After this,
To get the magnification factor, we will have to use the formula
Magnification = illustrated size/ actual size
This will be the magnification = [tex]6.10/0.027[/tex] = 255.92 times
Hence, the illustration is approximately 226 times larder than the actual pollen grain.
A vendor at a street fair sells popcorn in cones, all of height 9 inches. The
sharing-size cone has 3 times the radius of the skinny-size cone. About how
many times more popcorn does the sharing cone hold than the skinny cone?
Answer:
The sharing cone holds about 9 times more popcorn than the skinny cone.
Step-by-step explanation:
The volume of a cone is given by the following formula:
[tex]V = \frac{\pi r^{2}h}{3}[/tex]
In which r is the radius and h is the height.
Two cones:
Both have the same height.
The sharing-size cone has 3 times the radius of the skinny-size cone.
Skinny:
radius r, height h. So
[tex]V_{sk} = \frac{\pi r^{2}h}{3}[/tex]
Sharing size:
radius 3r, height h. So
[tex]V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h[/tex]
About how many times more popcorn does the sharing cone hold than the skinny cone?
[tex]r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9[/tex]
The sharing cone holds about 9 times more popcorn than the skinny cone.
Compute: 10:00 - 2:30
Answer:
4 hr and 30 minutes?
Step-by-step explanation:
You didnt really specify soo. 11 12 1 2 2:30
1hr 2hr 3hr 4hr 30 min
Answer:7:30
Step-by-step explanation:
In the equation m = k + 3, m is the:
Answer:
Step-by-step explanation:
m is the dependent variable; it represents the value of a linear function of k:
m = f(k) = k + 3
What is the median for the given set of data?
[40, 54, 22, 30, 55, 13, 33}
A)
32
B)
33
C)
40
D)
42
Write a recursive formula for the sequence
-1,-2,-3,-4...
Answer:
f(1) = -1
f(n) = f(n-1) -1
Step-by-step explanation:
The first term is -1. Each term is 1 less than the previous. These equations say that.
f(1) = -1
f(n) = f(n-1) -1
Find the area of the shape plssss help
ok so find the area of thesquare then triangles and then add them tiriange area is 1/2 times base times heightso 1/2 times 2 times 2 which is 4 divided by 2 which is 2 same with the other traingle so your total area for the traingles is 4. The area for the square is 2 times 2 which is 4. add them up yiouget the whole shape is 8 units squared Answer: 8 units squared
Step-by-step explanation:
The sum of the first 7 terms of an arithmetic
sequence 2.5, 7.5, 12.5, 17.5, ... would be:
Answer:
just google it i am not able to put the link to a website which ahs the answer to this sorry :(
Step-by-step explanation:
Answer:
2.5 7.5 12.5 17.5 22.5 27.5 32.5
Step-by-step explanation:
Just add 5 to the previous sum considering it is arithmetic sequence is always addition.
A wall in Marcus’s bedroom is 8 2/5 feet high and 16 2/3 feet long. If he paints 1/2 of the wall blue, how many square feet will be blue?
77 feet^2
Explanation:
Area of the wall is
8 2/5 × 18 1/3
42/5 × 55/3
14/5 × 55/1
14/1 × 11/1 = 154 feet^2
The area we want is half of this
77 feet^2
Hope this helps and answer you question
Giving brainliest to CORRECT answer.
Answer:
B) (-3,4)
Step-by-step explanation:
I graphed the function on the graph below to show you that vertex of the function.
If this answer is correct, please make me Brainliest!
The answer is B because it appears on my graphing calculator as this.
where is the point (0, –4) located
4 points below the origin
Children in 50 Households
Number of Children Number of
Households
0
5
1
11
2
13
3
10
4
9
5
2
Using a proportion, what can you infer about the number of households in her town that have more than thre
About 242 households have more than three children.
About 269 households have more than three children.
About 296 households have more than three children.
About 565 households have more than three children.
Answer:I think it’s 269 because when you do 1,350 divided by 50 it’s 27 then you add 9+2 to get 11/50 then you do 27x11 which gives you 270 and the closest answer to that is 269
Step-by-step explanation:
Answer:
About 296 households have more than three children.
Step-by-step explanation:
I got it right on edge
What do scientist mean by flattening the curve and why is it important?
Answer:
MRCORRECT has answered the question
Step-by-step explanation:
Inhibiting new infections to reduce the number of cases at any given time—known as "flattening the curve"—allows healthcare services to better manage the same volume of patients.
Answer:
I believe it means to slow down the virus spreading to other people and to stay safe, avoid contact, and wash your hands to stop too many people from going into the hospital.
Step-by-step explanation:
Your teacher has 50 pencils. 9 of the pencils are green, 10 are yellow, 7 are
blue and the rest are red. Once a pencil is picked, assume it is not given
back to the teacher. What is the probability that the first 3 students pick a
yellow pencil, a blue pencil and a red pencil in that order? Is this a
dependent or independent event? *
A. Independent, 1/70
B. Dependent, 1/70
C. Independent, 41/3125
D. Dependent, 41/3125
Answer:
B. Dependent, 1/70
Step-by-step explanation:
The probability that the first pencil is yellow is 10/50.
There are now 49 pencils, so the probability that the second pencil is blue is 7/49.
There are now 48 pencils, so the probability that the third pencil is red is 24/48.
The total probability is (10/50) (7/49) (24/48) = 1/70.
Since the pencils aren't replaced after selection, each event changes the probability of the next, so the events are dependent.
meg has 47 baby carrots are equally with 6 friends she puts an equal number of carrots on six plates how many carrots are left over
Answer:
5 carrots are left over.
Step-by-step explanation:
6 times 7 equals 42. 47 minus 42 is 5.
Given that f(x) = 5x − 10 and g(x) = x + 3, solve for f(g(x)) when x = −1. (1 point)
−30
0
10
12
Answer:
0
Step-by-step explanation:
Given: f(x) = 5x − 10 and g(x) = x + 3
f(g(x)) = 5(x+3) -10
f(g(x)) = 5x + 15 -10
f(g(x)) = 5x + 5
f(g(-1)) = 5(-1) + 5 (plugging x = -1)
f(g(-1)) = -5 + 5
f(g(-1)) = 0
Kinda lost, can someone help me.
Answer:
Area: x^2 + 6x
Step-by-step explanation:
1. This figure resembles a parallelogram, with it's dimensions parallel to the point of congruency. Even if it wasn't a parallelogram however, you would get the basic idea of calculating it's area by height * length.
2. Knowing the dimensions to be ( x + 6 ) by x, you can multiply them through algebra as such: x ( x + 6 ) ⇒ x^2 + 6x
3. Answer: x^2 + 6x
What does the constant 2.2 in L(D) represent?
Answer:
The constant 2.2 in L(D) represent the brightness in lumens per square inch.
Step-by-step explanation:
8 x
105 is how many times as great as 8 x 10-l?
10 4
10 6
10 -4
10 -6
Answer:
10 6
................
what are the dimensions for this triangle?
Answer:
2 and 2
Step-by-step explanation:
Parallel sides of rectangles are congruent, and because the other side of both rectangles is 2, the sides of the triangle are 2 because they share the side with the rectangle.
Determine the range of the following function {(-1,4)(0,6)(7,8)(2,-5)}
A) {-1,4,0,6}
B) {-1,0,7,8}
C) {4,6,8,-5}
D) {7,8,2,-5}
Answer:
C
Step-by-step explanation:
The range of a function is all of the y values of every point. In this case, that is 4, 6, 8, -5 (C). Hope that helps!
Answer:
The answer is C
Step-by-step explanation: 4 and 6 are the medium numbers. -5 and 8 and the lowest and highest nuumbers.
If a binomial is A polynomial, Then a poly nominal is a binomial. Is this always, sometimes, or never
Sometimes true. Take for example the trinomial [tex]x^2+2x-3,[/tex] which is a polynomial but not a binomial. On the other hand, one polynomial that satisfies the statement is the binomial [tex]x+2.[/tex]
How much did deshwan have withheld from his federal income tax
Answer:
$4465.71.
Step-by-step explanation:
Explanation: The amount of federal income tax withheld is on Box 2 of the WW2 form.
Five friends bake ginger bread and subsequently meet up for a tasting session. Each one gives one of his ginger
breads to each other person. Then each person eats all of the ginger bread they were given. After that the
number of ginger breads halves. How many ginger breads did the five friends have to start with?
Answer:
The five friends had 10 fingers to start with; one had two each
Step-by-step explanation:
The statement says each gave one of not all of his ginger in the toasting session.
What’s the correct answer or this?
Answer:
Height = 35 x sin(55deg) = ~28.7 feet
Answer:
B
Step-by-step explanation:
Sin ∅ =opposite/HYPOTENUSE
Sin 55 =opposite/35
0.82×35=opposite
Opposite=28.7 feet
Solve this equation. 2 - k = 22
Answer
20 ?
Step-by-step explanation:
Answer: [tex]k=-20[/tex]
Move all terms to the left
[tex]2-k-(22)=0[/tex]
Add all the numbers together, and all the variables
[tex]-1k-20=0[/tex]
Move all terms containing k to the left, all other terms to the right
[tex]-k=20\\k=20/-1\\k=-20[/tex]
