Using the binomial distribution, it is found that Sam should have expected 5 people to say yes.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.The expected value is given by:
E(X) = np.
In this problem:
15 people were sampled, hence n = 15.32% of the shoppers jog at least 3 days per week, hence p = 0.32.Hence, the expected value for the number of people that say yes is given by:
E(X) = np = 15 x 0.32 = 5.
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Question 6(1 point)
QS is a tangent to circle P. Find QS.
 A soccer coach is passing out water bottles to the team after practice. The water comes in 12-ounce bottles. If the soccer coach hands out 1,152 ounces of water to 32 players, how many bottles will each player get?
Answer:
Step-by-step explanation:
N 32 players
Q1. 12 onces bottles
Q2. 1.152 onces water
N bottle?
1.152/12= 96 (number of bottles)
96/32=3 (number por player)
Find the slope of the line 11x + y = -30.
Answer:
slope = -11 or m = -11
Step-by-step explanation:
11x + y = -30
y = -11x - 30
I hope this helps!
Odds in favor of drawing a face card
Answer:
y blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah
12 face cards
->12/52
=3/13
The expression c + 0.07c can be used to find the total cost of an item with 7% sales tax, where c is the cost of the item. Use the expression to find the total cost of an item that is $25.
The total cost of the item at the value of $25 and a tax of 7% is $26.75
Total CostGiven Data
Tax = 7%Cost of item c = $25We have the given expression to find the total cost which is
Total = c + 0.07c
Substituting our given data into the expression we have
Total = 25 + 0.07*25
Total = 25 + 1.75
Total = $26.75
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A question to upload the GeoGebra downloaded file : Graph the quadratic function of your choice and find the vertex and axis of symmetry .
Answer:I drew a quadratic function with a vertex and axis of symmetry, hope this helps
Write a polynomial function of least degree with integral coefficients that has the given zeros.
Answer:
Step-by-step explanation:
To get the equation, you must create the factors containing the roots.
So for example the first set of roots can be produced from
(x -2)(x^2 + 9)
which equals (when expanded) x^3 + 9x - 2x^2 - 18 which when put in the correct order gives
x^3 -2x^2 + 9x - 18
The second one is a bit more difficult to judge.
-5 and -3+ square root(2)
I don't think this is a polynomial. The coefficent is not integral. (-3 +√2)
A bank pays $15 in interest for every $100 deposited.
The bank pays how much interest?
Answer:
15% interest
Step-by-step explanation:
because it's 15 out of 100 so that would be 15%
What is the product? 3 x (-6 -14 -11 -9)
Answer:
-120
Step-by-step explanation:
Following the rules of PEMDAS (parentheses, exponents, multiplication, division, addition, and subtraction)
First when solve the numbers in the parentheses:
-6-14-11-9= -40
Then we can do the multiplication:
3*-40 = -120
Hope this helps! :)
Answer:
-18 -33
-42 -27
Step-by-step explanation:
PLEASE HELP ILL GIVE FIVE STARS AND GIVE BRAINLIEST AND GIVE THANKS PLEASE HELP
Ray is x years old. His brother Ron is y years older than Ray.
What will the difference of their ages be in 5 years?
ray is x years old
Ron is x+y years old
in 5 years ron will be 5 years older than now, so x+y+5 years old
orAnswer:
x - x + y + 5 - 5 = y or x + y - x = y
Step-by-step explanation:
The difference now,
x + y - x = y
The difference in 5 years,
(x + y + 5) - (x + 5) = x - x + y + 5 - 5
x - x + y + 5 - 5 = y
The difference in their ages never changes
At age 25, Sam deposited $4,000 into an IRA account where it earns 9.8% interest, compounded monthly. What will it be worth when Sam is 33?
The amount $4,000 deposited by Sam into an IRA account where it earns 9.8% interest, compounded monthly, will be $12903.8 when Sam is 33.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
At age 25, Sam deposited $4,000 into an IRA account where it earns 9.8% interest, compounded monthly. Thus,
[tex]P=4000\\r=9.8\%[/tex]
Now the worth has to be found out when Sam is 33. Thus, the total time period in year is,
[tex]t=33-25\\t=12\rm\; years[/tex]
Put the values in the formula,
[tex]A=4000\times\left(1+\dfrac{9.8}{12\times100}\right)^{12\times12}\\A\approx12903.8[/tex]
Thus, the amount $4,000 deposited by Sam into an IRA account where it earns 9.8% interest, compounded monthly, will be $12903.8 when Sam is 33.
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#SPJ1
Answer: $8733.01
Step-by-step explanation: I got it right on my quiz
Matt buys 9 cookies, and of them are chocolate chip. How many chocolate chip cookies did he buy? A .3 cookies B. 6 cookies C.8 cookies D. 11 cookies
Answer:
B. 6 cookies
Step-by-step explanation:
Given :
9 cookies2/3 of them are chocolate chipNumber of chocolate chip
Total x fraction of chocolate chip9 x 2/33 x 26 cookiesBen and Carson went to the movies with friends. Ben purchased 3 popcorn and 2 boxes of candy for $41. Carson purchased 1 popcorn and 2 boxes of candy for $29. How much did the popcorn cost?
Answer:
$6
Step-by-step explanation:
B- 3P+2C=$41
C-1P+2C=$29
since they both bought at least 1 popcorn and 2 candy you can just subtract 29 from 41. you get 12 which equals the other 2 popcorns that ben bought
12/2=6
since you need to find the price of 1 popcorn you have to divide 12 by 2
Allison is making fruit drinks for her friends.
Each fruit drink is made with 3/5 cup of
strawberries and 1/5 cup of blueberries. If
Allison is making fruit drinks for 6 friends,
how many cups of fruit will she need??
The number of cups of fruit Allison will need is = 4 ⅘ cups of fruits
Calculation of total quantity of fruitsThe quantity of strawberries needed for each fruit drink= 3/5 cup
The quantity of blueberries needed for each fruit drink = 1/5 cup
Therefore the total quantity of fruits needed for each drink = 3/5 + 1/5
= 4/5
If 4/5 = 1 fruit drink
X = 6 fruit drinks
Make X the subject of formula,
X = 4/5 × 6
X = 24/5
X= 4 ⅘
Therefore, the number of cups of fruit Allison will need is = 4 ⅘ cups of fruits
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Find the slope of
the line
Gve your answer as
a fraction in simplest
form.
Answer:
slope = 1/2
Step-by-step explanation:
we rise 1 and run 2 which gives us y=1/2x
Lauren's scores on her math tests were 96, 95, 98, 92, 94, 93, and 97. What score could Lauren get on her next math test so that the mean and median remain the same? Complete the explanation. The score on her next test that would keep her mean and median the same would be Because her mean and median are already another score of this value would not alter the mean or the median.
Answer:
Lauren needs to get 95 on her next math test so that the mean and median remain the same
Step-by-step explanation:
92+93+ 94+ 95+96+97+98 = 665
665/2 =95
mean=95
median=95
x= score could Lauren get on her next math
(665+ x)/8 =95
multiply both sides by 8 to eliminate fraction
665 +x = 760
x=95
So now the median is the same
(95+95)/2=95
shorcut:
with 7 scores 95 is the median(in the middle)
with 8 scores ,we need a number that added to 95 and divided by 2 is still 95 That number is 95
Find the area of a green shaded region in the figur
Answer:
The answer is 156cm^2
Step-by-step explanation:
Solution:
The shape given is a trapezium.
The area of the green region = Area of the outer trapezium - Area of the inner trapezium.
[tex]Area\: of\:a\:trapezium\:=\frac{1}{2}\:(a+b)h[/tex]
[tex]Where\: a,b\:are\:the\:bases,\:h=height[/tex]
[tex]For,\:outer\:trapezium,[/tex]
[tex]a=10cm,\:b=14cm,h=16cm[/tex]
[tex]Area\:of\:the\:outer\:trapezium=\frac{1}{2}\:(10+14)16[/tex]
[tex]=\frac{1}{2}(24)(16)=192cm^{2}[/tex]
[tex]For\:inner\:trapezium,[/tex]
[tex]a=3cm,b=6cm,h=8cm[/tex]
[tex]Area\:of\:the\:inner\:trapezium=\frac{1}{2}(3+6)8[/tex]
[tex]=\frac{1}{2}(9)(8)=36cm^{2}[/tex]
[tex]193cm^{2}-36cm^{2}[/tex]
[tex]=156cm^{2}[/tex]
The answer is 156cm^2
help its so hard!!!!!!!!!
Answer:
It should be 27 from the answer I got
Step-by-step explanation:
Hope this helps <3
For each pair figures, find the ratio of the area of the first figure to the area of the second. 14mm 7mm
The ratio of the area of the first figure to the area of the second figure is 4:1
Ratio of the areas of similar figuresFrom the question, we are to determine the ratio of the area of the first figure to the area of the second figure
The two figures are similar
From one of the theorems for similar polygons, we have that
If the scale factor of the sides of two similar polygons is m/n then the ratio of the areas is (m/n)²
Let the base length of the first figure be ,m = 14 mm
and the base length of the second figure be, n = 7 mm
∴ The ratio of their areas will be
[tex](\frac{14 \ mm}{7 \ mm})^{2}[/tex]
[tex]= \frac{196 \ mm^{2} }{49\ mm^{2} }[/tex]
[tex]=\frac{4}{1}[/tex]
= 4:1
Hence, the ratio of the area of the first figure to the area of the second figure is 4:1
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[tex]\frac{-65}{100} - \frac{12}{7}[/tex]
Answer:
-331/140
Step-by-step explanation:
which statement is true? A. parallel lines to form four right angles B. parallel lines will always be the same distance apart C. parallel lines intersect at no more than one point pls answer :) it would help me alot
Answer: C.
Step-by-step explanation:Parallel lines never touch so they cant be intersecting.
Carlos took 1/4 hours to clean the kitchen. Then he took 5 3/8 hours to clean the den. How much time did Carlos take to clean the two rooms?
Answer:
5 [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4} = \frac{2}{8}[/tex]
[tex]\frac{2}{8} + 5\frac{3}{8}[/tex]
Your solution is:
5 [tex]\frac{5}{8}[/tex]
True or false, in a ratio the units are not written
Answer:
True
Step-by-step explanation:
A ratio is normally written using whole numbers only, with no units, in its simplest form. The numbers in a ratio must be written using the same units.
e.g. ratio of 1:2
False, ratio's do no have units.
You need a 40\% alcohol solution. On hand, you have a 150 mL of a 20% alcohol mixture. You also have 55% alcohol mixture. How much of the 55% mixture will you need to add to obtain the desired solution?
Answer:
You need to add 200 mL of the 55% to obtain the desired solution
Step-by-step explanation:
x=mixture you need to add
20% * 150 + 55% x = 40%(x + 150)
0.20 * 150 + 0.55x = 0.40(x + 150)
30+0.55x=60+0.40x
0.15x = 30
x=200 mL
The graph of a linear relationship has a slope of -5 and passes through the point (2, -12). Write the equation of the line in slope-intercept form.
y=-5x-2
Solution:We are given the line's slope and a point that it passes through.Using the given information, we can write the equation of the line in Point-Slope Form:[tex]y-y_1=m(x-x_1)[/tex]In this formula, y₁ stands for the y-coordinate of the point, m stands for the slope of the line, and x₁ stands for the x-coordinate of the point.In this case, y₁ is equal to -12, m is equal to -5, and x₁ is equal to 2.Plug in the values:y-(-12)=-5(x-2)y+12=-5(x-2)Now, convert into Slope-Intercept Form, y=mx+b:y+12=-5x+10y=-5x+10-12y=-5x-2Hope it helps.
Do comment if you have any query.
If x = 10 units, y = 12 units, z = 12 units, and h = 8 units, then what is the surface area of the triangular prism shown above?
could you repost/answer with a picture?
HELLO PLS HELP ME THIS IS DUE TMR AND I DONT UNDERSTAND THE ANSWER
Answer:
6x+7=13
2/3x+8= 8.66
Step-by-step explanation:
calculator and rule with a compass
if x-y= -10 and x-y=2 what is the value of x
Find the solutions to the equation below.
Check all that apply.
4x^2 - 4x - 2 = 0
A. x = -1/2
B. x = 3/2
C. x = 1/2
D. x = -2
E. x = 3
F. x = 2
Answer:
A and B.
Step-by-step explanation:
4x^2 - 4x - 3 = 0
4x^2 + 2x - 6x - 3 = 0
2x(2x + 1) - 3(2x + 1) = 0
(2x - 3)(2x + 1) = 0
x = 3/2, -1/2.
PLEASE HELP ILL GIVE THANKS, 5.0, AND BRAINLIEST TO WHOEVER ANSWERS CORRECTLY PLEASE HELP AND ILL GIVE A HIGH POINT COUNT
Sophie bikes at a speed of s miles per hour. Her friend Rana is slower, her biking
speed is only r miles per hour.
Tomorrow both girls are planning to spend 3 hours biking. How much longer will be
Sophie's route?
Answer:
FOR THIS PROBLEM I GOT..... (20/r)-(20/s)Step-by-step explanation:
pls brainlest mee
