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.
the box and whisker plot below shows the volunteer service hours performed by students at indian trail middle school last summer
Answer:
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is Choose...128136153258 in².
What is the area of this figure?
Drag and drop the appropriate number into the box.
A =
What is the area of this figure?
Drag and drop the appropriate number into the box.
What is the area of this figure?
Drag and drop the appropriate number into the box.
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is Choose...128136153258 in².
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is Choose...128136153258 in².
What is the area of this figure?
Drag and drop the appropriate number into the box.
A =
What is the area of this figure?
Drag and drop the appropriate number into the box.
What is the area of this figure?
Drag and drop the appropriate number into the box.
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is Choose...128136153258 in².
What is the area of this figure?
Drag and drop the appropriate number into the box.
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)
Solve for x to the nearest degree.
Answer:
71
Step-by-step explanation:
The square represents 90 degrees.
A triangle’s three angles ALWAYS adds up 180.
To find the missing angle:
180 - 90 = 90
90 - 19 = 71.
Therefore, the answer is 71
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
Can someone please help me! i’m confused!
Answer:
i am so sorry about it
its difficult
In this combined function, the domain is all real numbers for x except?( x-2) / (x+5)
-2
2
-5
5
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:
.... ..................
3/14 x 2/12 multiply then simplify
Answer:
1/28
Step-by-step explanation:
6/168=1/28
Answer:
hi
Step-by-step explanation:
I think so...
[tex] \frac{3}{14} \times \frac{2}{12} = \frac{1}{7} \times \frac{1}{4} = \frac{1}{28} [/tex]
hope it helps
have a nice day
Johnny Appleseed was creating a fractal tree design:
The first tree, (a1), only has 1 leaf (the green point). The second tree, (a2), has leaves. The third tree, (a3), has 7 total leaves. How many total leaves will be on the 7th tree?
a) 63
b) 127
c) 128
d) 256
Answer:
The total leaves on the 7th tree is, 127.
Explanation:
Definition of sequence and series:A sequence is defined as a set of integers arranged in a specific order. A series, on the other hand, is defined as the sum of a sequence's elements.
Step by step:
The total leave will be on 7th tree are calculated.
Multiply term 2 and add term 1, to get the next digit.
According, to the question:
[tex]1[/tex]×[tex]2+1=3[/tex]
[tex]3[/tex]×[tex]2+1=7[/tex]
[tex]7[/tex]×[tex]2+1=15[/tex]
[tex]15[/tex]×[tex]2+1=31[/tex]
[tex]31[/tex]×[tex]2+1=63[/tex]
[tex]63[/tex]×[tex]2+1=127[/tex]
Hence, the 7th tree will have a total of 127 leaves.
To know more about sequence and series here, https://brainly.com/question/7882626
#SPJ2
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:
The sales tax rate is 5%. If Carmen buys a fountain priced at $329.97, how muchztax will
she pay?
Round your answer to the nearest cent: $
Answer:
$16.50
Step-by-step explanation:
Take the total price, convert the percentage to a decimal and multiply the two together.
329.97*0.05=16.498
Round to the nearest cent.
$16.50
Answer:
346.47
Step-by-step explanation:
the equation is: 329.97 * 5/100 + 329.97
= 16.4985 +329.97=346.4685
rounding to the nearest cent we get 346.47
rewrite the function by completing the square. f(x)=x^2-9x+14
Answer:
f(x)=(x-9/2)²-25/4
Step-by-step explanation:
f(x)=x²-9x+14
f(x)=x²-9x+(-9/2)²-(-9/2)²+14
f(x)=(x-9/2)²-81/4+14
f(x)=(x-9/2)²+(-81+56)/4
f(x)=(x-9/2)²-25/4
Answer:
Step-by-step explanation:
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:
What is the volume of the right rectangular prism, in cubic centimeters? A prism has a length of 4 centimeters, width of 9 centimeters, and a height of 10 centimeters
Answer:
360
Step-by-step explanation:
length times width of the base then multiply by the height of the prism.
(4)(9)10
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
The question I’m trying to figure out is What is y?
Answer:
y = 136
Step-by-step explanation:
x + 54 + 82 = 180
x + 136 = 180
x = 44
x + y = 180
44 + y = 180
y = 180 - 44
y = 136
Guys please help i dont understand im bad at math
(factoring polinonomials) help help help help help help please:(((
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]
Plz help I don't know how to salve the question
Answer:
24
Step-by-step explanation:
2) Find AC
C
12° 15°
70
B
А
Me.Bernstein will cut 8 pies into pieces that are each 1/6 of the whole After he cuts the 8 pies. how many pieces will Mr.Bernstein have
9514 1404 393
Answer:
48
Step-by-step explanation:
If each piece is 1/6 of the whole pie, then the whole pie has been divided into 6 equal pieces. The number of pieces resulting from 8 pies being cut that way is ...
(8 pies)(6 pieces/pie) = 8×6 pieces = 48 pieces
what is the lateral of a cone with 10 yd and 12.1 yd
Answer:
190.07 yd²
Step-by-step explanation:
Given that :
Base of cone = 10 yards
Height of cone = 12.1 yards
The lateral area of a cone is obtained using the relation :
π × r * l
Where r = Radius = base / 2
l = height of cone
Radius, r = 10/ 2 = 5 yards
Lateral area = π * 5 * 12.1
Lateral area = 190. 0666
Lateral area = 190.07 yd²
Find the diameter of the circle with the given circumference. Use 3.14 for π(PI). C=22 cm
A rocking horse has a weight limit of 60 pounds. What weight is 95% of the limit? *
Answer:
57
Step-by-step explanation:
60*0.95 = 57
Answer:
57 pounds is 95 percent of the limit.
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
Find Angel C !!!
Thank you
Answer:
c = 24
Step-by-step explanation:
Angle c is supplementary to 146 and their sum is 180
c + 146 = 180 subtract 146 from both sides
c = 34
Last year, scientists claimed there were 10,000 different species of ants around the world. Since then, the number of different species have decreased by 5.1%. How many different species of ants are estimated currently? Round to the nearest whole number.
help..
Answer:
9490 species
Step-by-step explanation:
Hope this helps! You take 5.1% of 10,000 which is 510. Then you take 10,000-510= 9490
Answer: there are more than 12,500 species of ants today like right now
Step-by-step explanation:
(39-7) divided by 4^2 = ?
Answer:
Its 2
Step-by-step explanation:
(39-7) / 4^2
32 / 4^2
32 / 2^4
2^5 / 2^4 divide which gets you
2