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
A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actual square footage of the apartment be?
Answer:
120
Step-by-step explanation:
You have 15 inches and 1 and 8 devide 15 multiply 1 and 8
Answer:960? correct for me!
Step-by-step explanation:
Elizabeth bought snacks for her team's practice. She bought a bag of apples for $3.41
and a 10-pack of juice bottles. The total cost before tax was $13.21. Write and solve an
equation which can be used to determine j, how much each bottle of juice costs?
Answer:
$9.80
Step-by-step explanation:
$13.21 - $3.41 = $9.80
Answer:$5.49
Step-by-step explanation:
Can someone please help me! i’m confused!
Answer:
i am so sorry about it
its difficult
Rectangles R and S are similar. If the area of rectangle R is 40, what is the area of rectangle S?
Answer:
14.4 units²
Step-by-step explanation:
The ratio of Area of rectangle R to area of rectangle S = square of the length of rectangle R to square of lthe ength of rectangle S
Let the area of rectangle S be represented by x, therefore:
40 : x = 8² : 4.8²
40/x = 64/23.04
Cross multiply
x*64 = 40*23.04
64x = 921.6
x = 921.6/64
x = 14.4
Area of rectangle S = 14.4 units²
Please help I’ll mark you as brainliest if correct !!
Find the (a) mean, (b) variance, and (c) standard deviation of the binomial distribution for the given random variable, and (d) interpret the results. Sixty-three percent of U.S. mothers with school-age children choose fast food as a dining option for their families one to three times a week. You randomly select five U.S. mothers with school-age children and ask whether they choose fast food as a dining option for their families one to three times a week. The random variable represents the number of U.S. mothers who choose fast food as a dining option for their families one to three times a week.
Answer:
a) The mean is 3.15.
b) The variance is 1.1655.
c) The standard deviation is 1.08.
d) The expected number of families in the sample who choose fast food as a dining option for their families one to three times a week is 3.15. The variance of 1.1655 and the standard deviation of 1.08 are the averages from which the sample results should diverge from the mean.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The variance of the binomial distribution is:
[tex]V(X) = np(1-p)[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Sixty-three percent of U.S. mothers with school-age children choose fast food as a dining option for their families one to three times a week.
This means that [tex]p = 0.63[/tex]
You randomly select five U.S. mothers with school-age children and ask whether they choose fast food as a dining option for their families one to three times a week.
This means that [tex]n = 5[/tex]
(a) mean
[tex]E(X) = np = 5*0.63 = 3.15[/tex]
The mean is 3.15.
(b) variance
[tex]V(X) = np(1-p) = 5*0.63*0.37 = 1.1655[/tex]
The variance is 1.1655.
(c) standard deviation
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5*0.63*0.37} = 1.08[/tex]
The standard deviation is 1.08.
(d) interpret the results.
The expected number of families in the sample who choose fast food as a dining option for their families one to three times a week is 3.15. The variance of 1.1655 and the standard deviation of 1.08 are the averages from which the sample results should diverge from the mean.
Jarrod helped his teachers pack textbooks into boxes for the summer. He packed 6 boxes of science textbooks with 14 books per box. He also packed math textbooks with 12 books per box.
If x represents the total number of boxes he packed, which of the following equations can be used to find the total number of books that Jarrod packed into boxes?
A. y = 84(x - 6) + 12
B. y = 12x + 84
C. y = 84x + 12
D. y = 12(x - 6) + 84
Answer:
Step-by-step explanation:
Given the system which is true? Thanks in advance!
Answer: the system has no solution
Step-by-step explanation:
The slope and the y-intercept is different
PLEASE HELP ASAP!!! WILL MAKE YOU THE BRAINLYIST!!!!
Assume this dance floor is 20 feet long and 30 feet wide. How many people will fit on this dance floor if you assume each person will dance in a space that is 2 feet wide and 2 feet long?
In this combined function, the domain is all real numbers for x except?( x-2) / (x+5)
-2
2
-5
5
Find the area (in square inches) of an equiangular triangle with a radius of length 6 in.
The area of equiangular triangle with radius 6 inches is 27√3 square inches.
What is equiangular triangle?A triangle with three equal interior angles is called equiangular triangle.
In an equiangular triangle, the measure of each of its interior angle is 60 degrees. Since, all the angles are equal therefore all the side will also be equal.
What is the formula for finding the area of equiangular triangle?The formula for finding the area of equiangular triangle is
[tex]Area = \frac{\sqrt{3} }{4} a^{2}[/tex]
Where,
a is the side length of the triangle.
Let the side length of the equiangular triangle be a.
According to the given question.
We have a equiangular triangle with a radius 6.
Since, the radius of the equilateral triangle or equiangular triangle is given by
Radius = [tex]\frac{a}{\sqrt{3} }[/tex]
⇒ a = 6√3 inches.
Therefore, the area of equiangualr triangle is given by
[tex]Area = \frac{\sqrt{3} }{4} (6\sqrt{3} )^{2}[/tex]
⇒ [tex]Area = \frac{\sqrt{3} }{4} \times 36 \times 3[/tex]
[tex]\implies Area = 27\sqrt{3}[/tex] square inches
Hence, the area of equiangular triangle with radius 6 inches is 27√3 square inches.
Find out more information about area of equaingular triangle here:
https://brainly.com/question/2272529
#SPJ2
The dimensions of a rectangular prism are 5 cm, 5 cm, and 2 cm.
Determine the surface area.
OA.
A. 50 cm
B. 25 cm
OC. 60 cm
D. 120 cm
O E. 90 cm
Answer:
E
Step-by-step explanation:
Givens
L = 5 cm
W = 5 cm
H = 2 cm
Formula
SA = 2L*W + 2L*H + 2*W*H
Solution
SA = 2*5*5 + 2*5*2 + 2*5*2
SA = 50 + 20 + 20
SA = 90 cm^3
3n^2-5n-6=9 help please!
Answer:
3n^2 -5n -6 = 9 This is a quadratic Equation.
3n^2 -5n -15 = 0
It is solved with the Quadratic Formula:
n = [-b +-sqr root (b^2 - 4ac)] / 2a
a = 3
b = -5
c= -15
n = [--5 +- sqr root(25 -4*3*-15)] / 6
n = [5 +- sqr root (25 + 180) / 6
n = [5 +-sqr root (205) ] / 6
n = 5 + 14.3178210633 / 6
n1 = 19.3178210633 / 6
n1= 3.2196368439
n2= 5 - 14.3178210633 / 6
n2 = -9.3178210633 / 6
n2 = -1.5529701772
Step-by-step explanation:
Please help. This makes 0 sence also fast because this is a big test I need to pass don’t just guess please?!
It's B : 5/9 = 0.555… .
To see why, let x = 0.555… . Then 10x = 5.555…, and
10x - x = 5.555… - 0.555…
9x = 5
x = 5/9
Why the other answers are wrong:
• It's not A because 3/10 = 0.3, while 1/3 = 0.333…
• It's not C because 9/100 = 0.09, while 1/11 = 0.090909… :
x = 0.090909…
100x = 9.090909…
100x - x = 9.090909… - 0.090909…
99x = 9
x = 9/99 = 1/11
• It's not D because 47/99 ≠ 0.475475475… :
x = 0.475475475…
1000x = 475.475475475…
1000x - x = 475.475475475… - 0.475475475…
999x = 475
x = 475/999 ≠ 47/99
Find the diameter of the circle with the given circumference. Use 3.14 for π(PI). C=22 cm
Solve the system of equations.
2x + 3y = 13
-6x + 4y = 0
A. (2,3)
B.1/2,4
C. (5, 1)
D. (-2, -3)
Answer:
Step-by-step explanation:
The answer is A for both
Answer:
multiply equation 1by -3 and multiply equation 2 by 1
-3×2x+3y×-3=13×-3
-6x+4y=0
-6x-9y=-39
-6x+4y=0
Step-by-step explanation:
-13y=-39
divide both side by -13
-13y/-13=-39/-13
y=3
put answer of y in equation 1
2x+3y=13
2x+3×3=13
2x+9=13
take like terms of the equation
2x=13-9
2x=4
divide both side by 2
2x/2=4\2
x=2
(x,y)=(2,3)
Rectangle VWXY is dilated by a scale factor of 2/3 to form rectangle V'W'X'Y’. Side VW
measures 21. What is the measure of side V'W'?
Answer:
y
Step-by-step explanation:
Answer:
V'W' = 14Steps:
V'W' = VW×2/3
V'W' = 21×2/3
V'W' = 42/3
V'W' = 14
Epidemiologists decided to investigate the effect of sunscreens on sunburns. They ran an epidemiologic study to see the association of sunscreens and sunburns. Overall, 460 people have enrolled in the study. Investigators randomly allocated 230 people to the treatment group (sunscreens) and 230 to the control group (placebo). They exposed those 460 people to the high mountain trail on a sunny day. At the end of the study, 30 people developed sunburns in the sunscreen group and 130 people developed sunburns in the placebo group. What is the relative risk of sunburns in the sunscreen treatment group compared with the control group in this study
Answer:
0.23
Step-by-step explanation:
Total number enrolled in the study = 460
Number of subjects in treatment group = 230
Number who developed sunburn in treatment group = 30
Number of subjects in placebo = 230
Number who developed sunburn in placebo = 130
Proportion of treatment group who developed sunburn = 30 / 230 = 0.130
Proportion of placebo who developed sunburn = 130 / 230 = 0.565
The relative risk of sunburn in treatment group compared with control group :
Proportion of sunburn in treatment / proportion of sunburn in placebo
0.130 / 0.565 = 0.23
prime factorization of 5,200 using exponents
Answer:
2*2•5*2•13
Step-by-step explanation:
* = to the power of.
Answer:
Step-by-step explanation:
5200 = 52 * 100
= 4 * 13 * 10 * 10
= 2 * 2 * 13 * 2 * 5 * 2 * 5
= 2⁴ * 5² * 13
I need help if right I will mark you as brainlest
Answer:
More than 275 dollars of here budget goes to emergencies
Step-by-step explanation:
11% of 2750 is $302.50
Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.
Part A
Choose the inequality and solution to represent the number of cans, x, that Xander must still collect.
a x + 64 ≤ 120; x ≤ 56
b x + 120 ≤ 64; x ≤ –56
c x + 64 ≥ 120; x ≥ 56
d x + 120 ≥ 64; x ≥ –56
Answer:
b
Step-by-step explanation:
Can some help me please thx
Answer:
Look below
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/math/fractions.php
I PROMISE THIS IS NOT A SKETCHY LINK IT TAKES YOU TO A FRACTION CALCULATOR
If the principal is $200 and the interest rate is 4 percent, what is the simple interest earned in one year?
А.$8
B.$50
C.$800
Answer:
A
Step-by-step explanation:
Please help meeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
h = 4.2 in
Volume = 3.6 cubic inches
[tex]\frac{1}{3}\pi r^{2}h = 3.6\\\\\frac{1}{3}*3.14*r^{2}*4.2 = 3.6\\\\r^{2}= \frac{3.6*3}{3.14*4.2}\\\\ = 0.81\\r=\sqrt{0.81}\\\\[/tex]
r = 0.9 in
Answer:
.... ..................
solve for bc !.??.?.?.?.
Answer:
A) 12
Step-by-step explanation:
all triangle CBF is similar to triangle GEF by aa similarity.
EF/BF = EG/BC
6/18 = 4/BC
therefore BC must be 12.
Erick bought a game for $9.78, a toy for $6.34, and a sandwich for $4.91. If he started with $30, about how much money does he have left
Answer: $ 8.97
Step-by-step explanation:
Game =$9.78
toy=$ 6.34
sandwich =$4.91
Total amount spent=$9.78+$6.34+$4.91=> $21.03
Total amount=$30
left amount=total amount- amount spent
= $30-&21.03
=$8.97
Guys please help i dont understand im bad at math
tyler read 2/5 of his homework. he read 4 pages. how many total pages of homework does Tyler have to read?
Tyler have to read total 10 pages of this homework.
What is fraction ?A fraction is a number representing a part of a whole. The whole may be a single object or a group of objects.
Let, the total number of pages of homework be x.
According to the given question
Tyler read [tex]\frac{2}{5}[/tex] of his homework, which is 4 pages of his homework.
⇒ [tex]\frac{2}{5}[/tex]×[tex]x=4[/tex]
⇒[tex]2x=4[/tex]×[tex]5[/tex]
⇒[tex]2x=20[/tex]
⇒[tex]x=10[/tex]
Hence, Tyler have to read total 10 pages of his homework.
Learn more about the fraction here:
https://brainly.in/question/5112127
#SPJ2
can you help me please
9514 1404 393
Answer:
domain: x ∉ {-4, 3}range: y ∉ {1}horizontal asymptote: y=1vertical asymptote: x=3Step-by-step explanation:
The expression reduces to ...
[tex]\dfrac{x^2+9x+20}{x^2+x-12}=\dfrac{(x+4)(x+5)}{(x+4)(x-3)}=\dfrac{x+5}{x-3}\quad (x\ne-4)[/tex]
The domain is limited to values of x where the expression is defined. It is undefined where the denominator is zero, at x=-4 and x=3. The graph of the expression has a "hole" at x=4, where the numerator and denominator factors cancel.
the domain is all real numbers except -4 and +3The function approaches the value of 1 as x gets large in magnitude, but it cannot take on the value of 1.
the range is all real numbers except 1As discussed in 'range', there is a horizontal asymptote at y=1. That is the value you would get if you were to determine the quotient of the division:*
(x+5)/(x-3) = 1 + (8/(x-3)) . . . . quotient is 1
There is a vertical asymptote at the place where the denominator is zero in the simplified expression: x = 3.
vertical asymptote at x=3; horizontal asymptote at y=1_____
* For some rational functions, the numerator has a higher degree than the denominator. In those cases, the quotient may be some function of x. The "end behavior" of the expression will match that function. (Sometimes it is a "slant asymptote", sometimes a higher-degree polynomial.)
Ryan exponential function of the form f(t)= a×b^t to represent the following situation. assume t is in years. an account has an initial investment of $91,000, increasing by 3.76% per year. F(T)=_________
Answer
[tex]f(t) = 91000 *1.0376^t[/tex]
Explanation
Given
[tex]a = 91000[/tex] -- initial
[tex]r = 3.76\%[/tex]
Required
The exponential equation
The exponential equation is:
[tex]y =ab^t[/tex]
Where
[tex]b=1 +r[/tex]
We used minus, because the rate increases..
So, we have:
[tex]b=1 +3.76\%[/tex]
[tex]b=1 +0.0376[/tex]
[tex]b=1.0376[/tex]
So:
[tex]y =ab^t[/tex]
[tex]y = 91000 *1.0376^t[/tex]
Hence:
[tex]f(t) = 91000 *1.0376^t[/tex]