Answer:
[tex]P(x =2) = 0.3020[/tex]
Step-by-step explanation:
Given
[tex]p =20\% = 0.20[/tex]
[tex]n = 10[/tex]
Required
[tex]P(x = 2)[/tex]
This question is an illustration of binomial distribution where:
[tex]P(X = x) = ^nC_x * p^x * (1 - p)^{n-x[/tex]
So, we have:
[tex]P(x =2) = ^{10}C_2 * 0.20^2 * (1 - 0.20)^{10-2}[/tex]
[tex]P(x =2) = ^{10}C_2 * 0.20^2 * 0.80^8[/tex]
This gives
[tex]P(x =2) = \frac{10!}{(10 - 2)!2!} * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = \frac{10!}{8!2!} * 0.20^2 * 0.80^8[/tex]
Expand
[tex]P(x =2) = \frac{10*9*8!}{8!2*1} * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = \frac{10*9}{2} * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = 45 * 0.20^2 * 0.80^8[/tex]
[tex]P(x =2) = 0.3020[/tex]
The probability that 2 out of the next ten customers will order the chef special is 0.3020. and this can be determined by using the binomial distribution.
Given :
20% of the patron's order the chef's special. Sample size, n = 10To determine the probability formula of the binomial distribution is used, that is:
[tex]\rm P(x = r) = \; ^nC_r \times p^r \times (1 - p)^{n-r}[/tex]
Now, at n = 10 and r = 2, the probability is given by:
[tex]\rm P(x = 2) = \; ^{10}C_2 \times (0.2)^2 \times (1 - 0.2)^{10-2}[/tex]
[tex]\rm P(x = 2) = \; ^{10}C_2 \times (0.2)^2 \times (0.8)^{10-2}[/tex]
[tex]\rm P(x = 2) = \; \dfrac{10!}{(10-2)!\times 2!} \times (0.2)^2 \times (0.8)^{8}[/tex]
[tex]\rm P(x = 2) = \; 45 \times (0.2)^2 \times (0.8)^{8}[/tex]
P(x = 2) = 0.3020
The probability that 2 out of the next ten customers will order the chef special is 0.3020.
For more information, refer to the link given below:
https://brainly.com/question/1957976
What are the Missing sides?
Answer:
i think the answer is A ,if I'm wrong plz tell me
I need help please!!!
Answer:
Option D would be the correct answer!
Hope this helps!
Find the value of x that makes m || n
Answer:
x = 23
Step-by-step explanation:
7x - 11 = 4x + 58
(7x - 4x) - 11 = (4x - 4x) + 58
3x - 11 = 58
3x (- 11 + 11) = 58 + 11
3x = 69
3x/3 = 69/3
x = 23
A distance of 400 km is represented in the map by 3 cm. What is the distance between two towns if they are 7.5 cm apart in the map?
Answer:
The distance between the two towns is of 1000 km.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
We have that:
3 cm represents a distance of 400 km.
What is the distance represented by 7.5 cm?
3 cm - 400 km
7.5 cm - x km
Applying cross multiplication:
[tex]3x = 400*7.5[/tex]
[tex]x = \frac{400*7.5}{3}[/tex]
[tex]x = 1000[/tex]
The distance between the two towns is of 1000 km.
A store has two different coupons that customers can use. One coupon gives the customer $35 off their purchase, and the other coupon gives the customer 35% off of their purchase. Suppose they let a customer use both coupons and choose which coupon gets applied first. For this context, ignore sales tax.
Let f be the function that inputs a cost in dollars) and outputs the cost after applying the "$35 off" coupon, and let g be the function that inputs a cost in dollars) and outputs the cost after applying the "30% off" coupon.
Required:
What is correctly represents the fact that the cost of purchasing $190 worth of goods is $98 when the "30% oft" coupon is applied first followed by the "$35 off" coupon?
Answer:
h(x)=f[g(x)]=0.7x-35
Step-by-step explanation:
In this case function f, which inputs a cost and outputs the cost after applying the $35 off coupon looks like this:
f(x)=x-35
where x is the cost of the purchase. In this case we are subtracting the $35 from the cost x.
Function g, which inputs a cost and outputs the cost after applying the 30% off coupon looks like this:
g(x)=x-0.3x
g(x)=0.7x
in this case we are subtracting 30 percent of the cost from the cost of the purchase.
So in order to find a function that represents the cost of the purchase when first applying the 30% coupon and then the $35 coupon we will need to get a composite function f(g(x)). Which means we need to substitute function g(x) into the f(x) function so we get:
h(x)=f[g(x)]=(0.7x)-35
or:
h(x)=0.7x-35
We can prove this function works when plugging x=$190 in so we get:
h(190)=0.7(190)-35
h(190)=133-35
h(190)=98
Rewrite 5ab showing the multiplication signs
Answer:
[tex]5ab = 5 \times a \times b[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
5a*b
Find each quotient.
494 ÷ 95 =
136.8 ÷ 24 =
96.9 ÷ 19 =
43.2 ÷ 8 =
Answer:
1. 5.2
2. 5.7
3. 5.1
4. 5.425 or 5.4
Step-by-step explanation:
hope this helps :)
Answer:
1. 5.2
2. 5.7
3. 5.1
4. 5.4
Step-by-step explanation:
you can use the app photo math, you just take a picture of the problem and it will give you the answer and explain the steps.
Laura uses 3 yards of fabric to make 2 skirts. She uses the same amount of
fabric to make each skirt. At this rate, what is the total amount of fabric, in
yards, she needs to make 6 skirts?
Answer:
9 yards
Step-by-step explanation:
3 yards make 2 skirts
2x3=6
3x3=9
9 yards make 6 skirts
PLease help!! Will mark brainliest for right answer!! NO LINKS
Let f(x)=10/x−4 . What is the average rate of change of f(x) from 2 to 8 ?
Enter your response as a decimal.
Answer:
[tex]f(x) = \frac{10}{x} - 4 \\ \delta \: f(x) = \frac{f(8) - f(2)}{2} \\ = \frac{(\frac{10}{8} - 4) - ( \frac{10}{2} - 4)}{2} \\ = \frac{ \frac{ - 11}{4} - 1}{2} \\ = \frac{ \frac{ - 15}{4} }{2} \\ = - \frac{15}{8} [/tex]
Quesion is in picture
Answer:
answe is option 3 is currect ans
Answer:
(x + 1)(x + 2
________
2
Step-by-step explanation:
Good luck.
I neeeddddd help on this I’m failing
Answer:
AB = 9
Step-by-step explanation:
Here is a simple case of a proportion.
We see that:
3:4
x:12
what can we do to make 4 into 12?
we multiply it by 3
so we do the same to 3
3*3=9
Sum of 4x^3+6x^2+2x^2-3 and 3x^3+3x^2-5x-5 is
9514 1404 393
Answer:
7x^3 +11x^2 -5x -8
Step-by-step explanation:
Combine like terms.
(4x^3+6x^2+2x^2-3) + (3x^3+3x^2-5x-5)
= (4 +3)x^3 +(6 +2 +3)x^2 +(-5)x + (-3 -5)
= 7x^3 +11x^2 -5x -8
_____
Noting that the first expression contains two x^2 terms, we wonder if you actually want the sum ...
(4x^3+6x^2+2x-3) + (3x^3+3x^2-5x-5)
= (4 +3)x^3 +(6 +3)x^2 +(2 -5)x +(-3 -5)
= 7x^3 +9x^2 -3x -8
Ive been stuck on this problem for an hour, help pleaseee.
The graph of the function is given below. Give all y-intercepts and x-intercepts shown.
Answer:
y intercept: [tex]y = 1[/tex]
x intercept: [tex]x = -1[/tex] and [tex]x = -3[/tex]
Step-by-step explanation:
Given
The attached graph
Solving (a): The y intercepts
This is the point where [tex]x = 0[/tex]
From the attached graph, [tex]x = 0[/tex] when
[tex]y = 1[/tex]
Hence, the y intercept is 1
Solving (b): The x intercepts
This is the point where [tex]y = 0[/tex]
From the attached graph, [tex]y = 0[/tex] when
[tex]x = -1[/tex] and [tex]x = -3[/tex]
Hence, the x intercept are -1 and -3
I need a bit of help pls.
Answer:
#1. 150, #2. 650, #3. 2 PM to 4 PM #4. 8AM to 4PM (8 hours) #5. the frequency of weight in pounds #6. 22 cats
#7. 1 - 40 pounds #8. 11 - 20 pounds
a bookstore sells 9 books for $90. Which table represents the relationship between number of books and the total price?
Answer:
Step-by-step explanation:
Answer:
Table B
first find cost of 1 book
cost of 1 book=$90/9
=$10
now cost cost of 10 books
cost of 11 books=$10*10
=$100
cost of 11 book =$10*11
=$110
Step-by-step explanation:
since the cost of 10 and 11 books match in table B ,it is the correct answer
how to expand (3x-4y)^6
⦁ A $10,000 certificate of deposit earns simple interest of 8 percent per year. Calculate the total earned money over the 5 year period?
Answer:
The total earned money over the 5 year period=$14,000
Step-by-step explanation:
We are given that
Principle amount, P=$10000
Rate of interest, r=8%
Time, t=5 years
We have to find the total earned money over the 5 year period.
We know that
Simple interest=[tex]\frac{P\times r\times t}{100}[/tex]
Using the formula
S.I=[tex]\frac{10000\times 8\times 5}{100}{/tex]
S.I=$4000
Now,
Amount=P+S.I
Amount=10000+4000
Amount=$14000
Hence, the total earned money over the 5 year period=$14000
Sandi randomly selects a single bill from an envelope containing 8 ones, 5 fives, 4 tens, and 3 twenties. What is the expected value of the money she selects
Answer:
The expected value of the money she selects is 6.65.
Step-by-step explanation:
Expected value:
Sum of each outcome multiplied by its probability.
We have:
8 + 5 + 4 + 3 = 20 total bills.
8 are ones, so P(X = 1) = 8/20 = 0.4.
5 are fives, so P(X = 5) = 5/20 = 0.25.
4 are tens, so P(X = 10) = 4/20 = 0.2
3 are twenties, so P(X = 20) = 3/20 = 0.15.
What is the expected value of the money she selects?
[tex]E(X) = 0.4*1 + 0.25*5 + 0.2*10 + 0.15*20 = 6.65[/tex]
The expected value of the money she selects is 6.65.
The time spent waiting in the line is approximately normally distributed. The mean waiting time is 55 minutes and the variance of the waiting time is 11. Find the probability that a person will wait for more than 33 minutes. Round your answer to four decimal places.
Answer:
1 = 100% probability that a person will wait for more than 33 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
The mean waiting time is 55 minutes and the variance of the waiting time is 11.
This means that [tex]\mu = 55, \sigma = \sqrt{11}[/tex]
Find the probability that a person will wait for more than 33 minutes.
This is 1 subtracted by the p-value of Z when X = 33. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33 - 55}{\sqrt{11}}[/tex]
[tex]Z = -6.63[/tex]
[tex]Z = -6.63[/tex] has a p-value of 0.
1 - 0 = 1
1 = 100% probability that a person will wait for more than 33 minutes.
Jake studied
z
hours for a big test. Julie studied half as long.
Write an algebraic expression for long Julie studied.
Answer:
(1/2)z
Step-by-step explanation:
The perimeter of a rectangle is 73 inches. If the length is 16 inches, write and solve an equation to
find the width.
Answer:
Step-by-step explanation:
The equation for finding the perimeter of a rectangle is 2Lx2H
So since the length is 16, you multiply that by 2 to get 32.
Then you subtract 32 from 73 which leaves you with 41, then your equation is left as 2H=41, so you divide 41 by 2 which is 20.5, and that is your height
hope this helped!
Answer:
5
Step-by-step explanation:
73/16
16*5=73
What is the perimeter of rectangle J K L M
Step-by-step explanation:
you could count the squares around the shape or you could do it by points
For example point M is (2,3)
L is (6,3)
We want to find the length of this side so we subtract the x values
6 - 2 = 4 units
that gives use the length of that leg and since a rectangle is symmetrical, you can just measure 2 sides
LOts of points pls help me
Answer:
Solution given:
l=12in
b=2.7in
h=9.8in
Volume=l*b*h=12*2.7*9.8=317.52in³
nearest measurement is 324in³
option C.324in³ is a required answer.
Answer:
Question:Which of the following volume measurements is the best estimate for the figure above? Round each measurement to the nearest whole number to get your estimate.
A. 360 in³
B. 300 in³
C. 324 in³
D. 216 in³
Answer :C. 324 in³✓Step-by-step explanation:
We're provided with a Cuboid with L = 12 in ,B = 2.7in & H = 9.8 in where,
L = Length of the cuboidB = Width of the cuboidH = Height of the cuboidand we're asked to Find the volume of the solid .
To find the volume of the given cuboid , we'll use the formula to find the volume of cuboid
[tex] \huge\fbox\pink{Area}\huge\fbox\green{=} \huge\fbox\blue{L}\huge\fbox\purple{B}\fbox\green{H} [/tex]
Inserting the value of L,B & H in the above formula
12×2.7×9.8We get
Area↬317.52 in³Estimating it to the nearest no. ,we get 324 in³-------☆ﾟ.･｡ﾟᵴɒƙυᴚᴀ_ƨȶäᴎ❀
0.009 divided by 0.001
Answer:
9
Step-by-step explanation:
0.001 · 9 = 0.009
What’s the measure of angle B? It’s not 64.
Answer:
65 degrees
Step-by-step explanation:
Angles in a triangle add to 180°.
WILL GIVE U BRAINLEST!!
Angle A and B are a linear pair. If A = x + 70 and B = x + 50, what is the value of x? *
A.40
B.25
C.30
D.180
Choose the correct name for the polygon.
VRUST
SRVUT
SRTUV
RSVUT
The name of polygon is SRVUT.
What is Polygon?In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).
Given:
Usually while naming the polygon we have to focus on the letter to which each vertex is allotted.
and, the name of any geometrical shape should be in a flow, it should be like which letter come after the previous in clockwise or anticlockwise order.
Here, the polygon will have name:
VRSTU
RSTUV
STUVR
TUVRS
UTVRS
Learn more about Polygon here:
https://brainly.com/question/24464711
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Which answers describe the shape below
Answer:
B. parallelogramStep-by-step explanation:
stay safe, stay healthy and blessed.
thank u
Answer:
a b c d e
Step-by-step explanation:
brainliest for answer
Answer:
what is the question?
Step-by-step explanation:
Answer:
i answered
Step-by-step explanation:
√4x²-20x+25=5-2x
HELP PLEASE!!! P.S the entire equation 4x²-20x+25 is under the square root
Answer:
The equal is valid for x≤ 5/2
Step-by-step explanation:
sqrt(4x²-20x+25)=5-2x
Square both sides
(sqrt(4x²-20x+25))^2=(5-2x)^2
Foil the term on the right (5-2x)(5-2x) = 25 -10x-10x+4x^2 = 25 -20x+4x^2
(4x²-20x+25)=25-20x+4x^2
The left side is equal to the right side
We need to check for extraneous solutions
The break point is 5-2x =0
5 =2x
x =5/2
Check x < 5/2
Let x=0
sqrt(4x²-20x+25)=5-2x
sqrt(25)=5
True
Check x=5/2
sqrt(4x²-20x+25)=5-2x
sqrt(4(25/4)-20*5/2+25)=5-2(5/2)
sqrt(25-50+25)=5-5
0=0
True
Check x>5/2
Let x=10
sqrt(4x²-20x+25)=5-2x
sqrt(4*100-20*10+25)=5-2*10
sqrt(400-200+25)=5-20
sqrt(225) = -15
15 does not equal -15
False
The equal is valid for x≤ 5/2