Answer:
A . About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
95% CI from a sample of 50 students is (6.73, 7.67).
This means that we are 95% sure that the population mean is in this interval, that is, about 95% samples of 50 would contain the population mean, which is given by option A.
By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.
What is confidence interval ?confidence interval tells us the degree of certainty or uncertainty that is existent in a sampling method. It gives us a range of values, telling us we are fairly sure that our true value or parameter lies within the range.
Here given that 95% confidence interval from a sample of 50 students is (6.73,7.67). so we can say that there are 95% chance that the population mean is in this interval (6.73,7.67) , that is, about 95% samples of 50 would contain the population mean, so option A is correct
By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.
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A student is solving the problem X to the power of 2+10x+ __=16+ __ my method of completing the square. What number should the student add to both sides?
A) 4
B)5
C) 25
D) 16
Answer: C) 25
Step-by-step explanation:
x²+10x+ __=16+ __
Only the square of 5, 5², which is 25, can make the two factors plus equal to 10x, so we need to add 25.
Find the measure of the angle indicated in bold
k(k + 1)(k + 2) – 3k(k + 1)
Need a step-by-step guide on how to factor this completely
Answer:
Step-by-step explanation:
k(k+1)(k+2) - 3k(k+1)
k and (k+1) are common to both terms.
k(k+1)(k+2) - 3k(k+1) = k(k+1)[(k+2) - 3] = k(k+1)(k-1)
If x = -8, then which of the following equations makes a true statement?
A. 3x - 5 = -23
B. 2x - 2 = -18
C. 2x - 1 = -10
D. 3x - 1 = -16
Find the length (in centimeters) of a 90° arc in a circle where the diameter measures 70 centimeters.
Answer:
[tex]\frac{1}{4}[/tex]×2[tex]\pi[/tex]r=17.5[tex]\pi[/tex]
Step-by-step explanation:
Write the equation of a quadratic function who has the vertex of (4,-7)
Given:
The vertex of a quadratic function is (4,-7).
To find:
The equation of the quadratic function.
Solution:
The vertex form of a quadratic function is:
[tex]y=a(x-h)^2+k[/tex] ...(i)
Where a is a constant and (h,k) is vertex.
The vertex is at point (4,-7).
Putting h=4 and k=-7 in (i), we get
[tex]y=a(x-4)^2+(-7)[/tex]
[tex]y=a(x-4)^2-7[/tex]
The required equation of the quadratic function is [tex]y=a(x-4)^2-7[/tex] where, a is a constant.
Putting a=1, we get
[tex]y=(1)(x-4)^2-7[/tex]
[tex]y=(x^2-8x+16)-7[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]y=x^2-8x+9[/tex]
Therefore, the required quadratic function is [tex]y=x^2-8x+9[/tex].
A right triangle with vertices P(-3,9) Q(-3,5) R(-7,5) is reflected on the y-axis then the image is rotated 180 degrees about the origin. What are the new coordinates of the right triangle?
I cant understand
A__ function is a function in the form f(x) = ax? + bx+c, where a, b, and care real
numbers and a 70, that will graph as a parabola.
is it
a) quadratic
b) first
c) parabolic
d) second
Is it 1,2,3 or 4
Look at the picture.
Thank u!
Answer:
4896 sq units
Step-by-step explanation:
A = lw
multiply 48 to 102
What is the range of the following exponential function?plz help asap
Answer:
0.23
Step-by-step explanation:
what does 1 4/9 - 1/2= to?
Questions in the attachments
Thank you to anyone who answers it
Answer:
C. 3.5
2 is one less than 3 and 3.5 is one less than 4.5. It's pretty easy. :)
Answer:
XY=3
Step-by-step explanation:
Linda took a math test and got 68 correct answers and 12 incorrect answers. What is the percentage of incorrect answers
Answer:
Approximately [tex]17.6[/tex] percent
Step-by-step explanation:
To find a percentage, take the part, divide it by the whole, and multiply that quotient by 100. As an algebraic expression, that would be [tex]\frac{part}{whole}*100[/tex].
In this case, the part is [tex]12[/tex] and the whole is [tex]68[/tex]. Therefore, our answer is [tex]\frac{12}{68}*100\approx17.6[/tex] percent. Hope this helps!
Answer: About 17.6%
Step-by-step explanation: "Per" means 100. So, to get a percentage, we can divide the numerator by the denominator then multiply the quotient by 100. Or, you can say it like this: [tex]\frac{Numerator}{Denominator} =quotient*100[/tex]
As we see, 12 is the numerator, and 68 is the denominator. Now, we can divide.
12 ÷ 68 = 0.176
We're not done yet, we'll need to multiply the quotient by 100, as in the formula.
0.176 × 100 = 17.6
Hence, 17.6% is the answer.
Let me know if you have any questions or comments.
~ Lily, from Brainly.
Team A has a winning probability of 7/10 . team b has winning probability of 0.427 . which team has the higher probability of winning?
Answer:
i dont know
Step-by-step explanation:
What is the answer to the question
WILL MARK BRAINLYEST
Answer:
10
Step-by-step explanation:
3^3-5^2+8 = 10
Answer:
6
Step-by-step explanation:
Question: What is g³ - h² + 8, when g= 3, h = 5
Substitute the given values
3³ - 5² + 8
Simplify exponents- remember, 3³ = 3 * 3 * 3, and 5² = 5 * 5
27 - 25 + 8
Simplify
-2 + 8 =
6
I hope this helps! Feel free to ask any questions! :)
3x/5 - 2 = x + 1/3
Solve the equation above for x.
The piping connection to the vacuum pump should be
Answer: Micron gauges (electronic vacuum gauges) should be connected directly to the system – not at the pump – to check the vacuum at the system
Step-by-step explanation:
Answer i am smart
Step-by-step explanation:
Sierra has 24.48 ft. of ribbon. She will use all the ribbon to create 5 bows. About how much ribbon will she use on each bow?
Answer:
the answer is 4.8 brainy plss
Answer:
If all the bows are of equal size she will use 4.896 ft of ribbon for each bow
Step-by-step explanation:
24.48/5=4.896
Hope this helps :)
What is 79.2 divided by 2.55
Which statement, if true, would help prove that quadrilateral
FGHJ is inscribed in Circle O and why?
Answer:
i believe its a
Step-by-step explanation:
.........
is there estimates that her dinner has 48g of fat in it what percentage of her total daily allowance of fat does her meal contain her total daily allowance of fat is 70 grams
Answer: The meal contains 68.57% of her daily allowance of fat
Step-by-step explanation:
We know that in the dinner, there is a total of 48g of fat.
We also know that her daily dose of fat is 70g, so this will be "the 100%", then we can write:
70g = 100%
Under this point of view, we also can relate the 48g of the dinner to another percentage X%, such that:
48g = X%
Then we have two equations:
48g = X%
70g = 100%
To solve this, we can take the quotient of these two equations to get:
(48g/70g) = (X%/100%)
Now we want to solve this for X%, then we need to isolate X%:
(48g/70g)*100% = X%
68.57% = X%
This means that 48 grams of fat are 68.57% of her daily allowance.
Can someone please help meeeee
Answer:
45°
Step-by-step explanation:
The angle with measure of 9x and the angle with measure of 3x are supplementary
9x + 3x = 180°
12x = 180 divide both sides by 12
x = 15
The angle with measure of 9x and angle a are supplementary as well
9x + a = 180
9×15 + a = 180
135 + a = 180 subtract 135 ftom both sides
a = 45°
Find the value of x (supplementary angle) please show work I will mark u brainlist
Answer this correctly I’ll give brainalist + 10 points
Answer:that means it d
Step-by-step explanation:
Which figures always have right angles
Answer:
rectangles, squares, and right triangles
Ahmad made a shirt using 1/4 yards of yellow fabric and 1/8 yards of red fabric. How many more yards of yellow fabric did Ahmad use?
Answer: 1/8
Step-by-step explanation:
convert 1/4 to eighths
1/4 x 2 = 2/8
2/8 yellow fabric - 1/8 red fabric = 1/8
Martina is baking bread. She mixes 1 and 3/4 cups of flour with other ingredients. Then she adds 4 and 1/2 cups of flour to the mixture. How many cups of flour does she need? Solve this problem any way you choose.
First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2)
First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsFirst you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsAfter adding the fractions, you just have to add it to the whole number (5)First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsAfter adding the fractions, you just have to add it to the whole number (5)
First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsAfter adding the fractions, you just have to add it to the whole number (5)
Hope this helps.❤I rlly need help with this if you answer correctly I'll mark you as brainliest so pls answer correctly pls and ty
PLEASE HELP ASAP GEOMETRY 20 POINTS REAL ANSWERS ONLY!
Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
C = 122.2°
a = 8 km
b = 10.4 km
Answer:
16.2
Step-by-step explanation:
Use the law of cos
c^2 = 8^2+10.4^2-2*8*10.4*cos(122.2 degrees)
=260.83
c = √260.83 = 16.15
The missing side of the triangle is 16.2 km (round to the nearest tenth)
What is law of cosines ?
If a, b, c are sides of a triangle & C be the angle opposite to side c, then
c²=a²+b²-2ab cosC
What is the missing side ?Here, in the given question, a = 8km & b = 10.4 km
Also the angle opposite to the third side c (say) is C = 122.2°
So, according to the law of cosines,
c²=(8)²+(10.4)²-2(8)(10.4) cos(122.2°)
⇒ c²= 64+108.16-(-88.67)
⇒ c²= 172.16+88.67
⇒ c²= 260.83
⇒ c= √(260.83)
⇒ c= 16.15 = 16.2(approx)
So, the missing side = 16.2 km
Learn more about law of cosines here :
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Select the true statement about triangle ABC.
A. sin A = sin C
B. sin A = cos B
C. sin A = cos C
D. sin A = tan c