Answer:
a) the probability that no sales are made in 10 calls is 0.1969
b) the probability more than 1 sales are made in 20calls is 0.8244
Step-by-step explanation:
Given that;
p = 0.15
q = 1 - p = 1 - 0.15 = 0.85
a) probability that no sales are made in 10 calls will be;
n = 10
p(x=0) = ¹⁰C₀(0.15)⁰ (0.85)¹⁰ = 0.1969
Therefore the probability that no sales are made in 10 calls is 0.1969
b) probability more than 1 sales are made in 20calls
n = 20
let y be number of sales in 20 calls
y∪Bin(n=20, p=0.15)
p(y > 1) = 1 - [p(y=0) + p(y=1)
= 1 - [²⁰C₀(0.15)⁰ (0.85)²⁰ + ²⁰C₁(0.15) (0.85)¹⁹] = 0.8244
Therefore the probability more than 1 sales are made in 20calls is 0.8244
Ariel wants to find out the most popular theme for spirit week at school. She cannot decide between two methods. Option 1: She will poll each student who leaves the gym after sports practice. Option 2: She will randomly poll three students from each first-period class. Which statement about the methods is true? Option 1 is biased. Option 2 is biased. Neither is biased. Both are biased.
Answer:
Option 1 <3
Step-by-step explanation:
Option 1: Not everyone might be in a sports class and not everyone might be leaving at the exact same time.
Option 2: This way of collecting information is not biased because it is random and includes a wide variation of people.
Using sampling concepts, it is found that the correct option is given by:
Option 1 is biased.
What is sampling?Sampling is when a group is taken from a population to estimate a parameter or a characteristic. It has to take into account the entire population to avoid bias, which generate false results.
In this question, all students have to be considering, not just the ones who like sports practice, hence Option 1 is biased.
More can be learned about sampling concepts at https://brainly.com/question/25122507
What fraction represent 0.12
Answer:
12/100
Step-by-step explanation:
pls help me thx u bruh
Answer:
4
Step-by-step explanation:
Rearrange the equation so that its y=5x+4. Now you know the y-intercept is 4.
Hope this helps :D
Help plz I really need to pass
Answer:
2.56
Step-by-step explanation:
The equation they dive u: d = 16t^2, so in the question they said what's the distance, d, if t = 0.4
So you just have to replace t with 0.4:
d = 16t^2
d = 16(0.4)^2
d = 16(0.16)
d = 2.56
The original selling price of a shirt was $45.
In a sale, the shirt is reduced to $32.50.
Calculate the percentage reduction,
Show your working
Given:
The original selling price of a shirt was $45.
In a sale, the shirt is reduced to $32.50.
To find:
The percentage reduction.
Solution:
We know that,
[tex]\text{Percentage reduction}=\dfrac{\text{Original value - Reduced value}}{\text{Original value}}\times 100[/tex]
[tex]\text{Percentage reduction}=\dfrac{45-32.50}{45}\times 100[/tex]
[tex]\text{Percentage reduction}=\dfrac{12.50}{45}\times 100[/tex]
On further simplification, we get
[tex]\text{Percentage reduction}=\dfrac{1250}{45}[/tex]
[tex]\text{Percentage reduction}=27.777778[/tex]
[tex]\text{Percentage reduction}\approx 27.78[/tex]
Therefore, the percentage reduction is 27.78%.
What is the slope and y-intercept of the equation 3x -y=3
Answer:
Slope = 3
Y Intercept = 3
Step-by-step explanation:
3x - y = 3
(subtract 3x from both sides - we have to get y by itself)
-y = -3x - 3
(divide by -1 from both side - we need to make y positive)
y = 3x + 3
Calculate 2(1+4)2x (9-6)/3
Can someone help me please
Which expression has the smallest value? *
5 points
A. |-19|
B. |-34|
C. |22|
D. |47|
The expression [tex]|-19|[/tex] has the smallest value.
Option A is correct.
Absolute value :The absolute value is always positive because absolute value represent distance from zero on number line.
And distance can not be negative.
Absolute value of given number shown below,
[tex]|-19|=19\\\\|-34|=34\\\\|22|=22\\\\|47|=47[/tex]
Thus, the expression [tex]|-19|[/tex] has the smallest value.
Learn more about the absolute value here:
https://brainly.com/question/16625390
Select the correct answer. Convert (2, pi) to rectangular form.
A. (2, 0) B. (-2, 0) C. (0, 2) D. (0, -2
Answer:
The answer is B. (-2, 0)
Step-by-step explanation:
x= 2 ⋅ cos(π) = −2
y=2 ⋅ sin(π) = 0
The rectangular coordinates is (-2 , 0) , Option B is the correct answer.
What is the equation of conversion of Polar Coordinates to Rectangular Coordinates ?The equation for a polar point ( r, [tex]\rm \theta[/tex]) is
x = rcos [tex]\rm \theta[/tex]
y =r sin [tex]\rm \theta[/tex]
where (x , y) are rectangular coordinates.
The polar coordinate given is ( 2 , π)
r = 2
[tex]\rm \theta[/tex] = π
so
x = 2 cos π
x = 2 * (-1)
x = -2
y = 2 sin π
y = 2 *0
y = 0
Therefore the rectangular coordinates is (-2 , 0) , Option B is the correct answer.
To know more about Conversion into Rectangular Coordinate
https://brainly.com/question/7620157
#SPJ2
Find the distance between -10.5 and 7 on a number line
Answer:
17.5
Step-by-step explanation:
cout up to zero then to 7
2.
7 in
Н
I
2 in
J
What is the Scale Factor?
21 in
M
6 in
N
34. What is the domain? What is the range? Is the relation a function?
36. Which of the statements below best describe the slope of a line?
A) The slope of a line is the steepness of the line.
B) The slope of a line is a rate of change.
C) The slope of a line is the ratio of the vertical rise to the horizontal run.
D) All of the above statements are true.
Attached is a picture for question 34
Answer:
Step-by-step explanation:
34).
Domain: {7, 3, - 7, - 3}
Range: {2}
Yes, the relation is function.
36). Choice (D)
Show a sketch of20/5
Step-by-step explanation: 20/5 is 20 divided by 5 which is 4.
20/5=4
4x5=20
5x4=20
So the answer is 4.
Answer:
So a sketch of 20/5 well, this is an improper fraction.
Step-by-step explanation:
So this will simplify down to 4.
Idk how to do this help
Answer:
b
Step-by-step explanation:
because ik it is tell me if I'm wrong pls
help fast helpleplepllpelpe
what is the missing number
5
4
3
2
please help!!!!!
Answer:
1
Step-by-step explanation:
hope this helped you!!
1. insert a digit to make numbers that are divisible by 6 if it is possible
531_5
2. insert a digit to make numbers that are divisible by 6 if it is possible
237_8
Answer:
1 There is no number that make it divisible by 6 with no decimals
2 1,4,7
Step-by-step explanation:
2 23718/6= 3953
23748/6= 3958
23778/6= 3963
Need help with this question
Answer:
<zay
Step-by-step explanation:
only angle <zay has the measurement of 90°
what is -2/5+(-11/10) divided by -3
Answer:
1. 0.23 (1.2)
2. (0.3) (-0.12)(2.4)
3. -5/6 x (-9/10) divided by 17/20
4. 17/18 x (-10/21) divided by 11/9
5. 24.3 divided by 3
6. 10 1/2 divided by 1 3/8
7a. 102 divided by 5/6
7b. 102 divided by 5/6 divided by 11/7
8. 1 1/2 x 1/4 (answer x 3)
2
Step-by-step explanation:
How do I solve this?
Answer: A symbol
Step-by-step explanation: Nothing in that picture gives a value for x
Joyce wants to buy a computer that has a price of $2500, and she decides to pay for it
with installments over 5 years. If the interest rate is 15 %, what is the monthly payment?
Answer:
1875$ in interest
Step-by-step explanation:
15%x5=75%
75%of 2,500 is 1875$.
so altogether, it's 4,375$ for the entire computer.
How many gummi bears are in 4 servings
Please helppp!!!! I’ll give you a crown!!
But please explain the answer, Bc I want to understand.
Which is an equation for a line that passes through (0,-3) and is perpendicular to the graph of the line y=2x-3?
1. Y=-2x+3
2. Y= -2x-3
3. Y=-1/2x +3
4. Y=-1/2x-3
Answer:
the second one
Step-by-step explanation:
the last number of the equation (-3) is the y intercept, so it goes the the point (0,-3), also it has the opposite slope of y=2x-3
i hope this helps and im sorry if im wrong :(
A rectangle has a length of x and a width of 3x3 + 9 − x2. Find the perimeter of the rectangle when the length is 6 feet. Please HELP :(
Answer:
24
Step-by-step explanation:
A rectangle as four sides, and as we know, two of the sides equal each other. I would first start by drawing a rectangle. On one length on the outside of the triangle, put x. On the opposite congruent length, put x again since we know the sides are the same. You should have two blank sides left. On both of those sides, put 3x3 + 9 - x2 (I am assuming that you meant x squared whenever you said x2. Let me know if I assumed incorrectly. Because the length is 6, we know that x must be six. Now substitute everything that says x with the number six. Use parenthesis so you don't confuse it with other numbers. (6.) Now add everything up. You should be adding 3x3 + 9 - (6)2+ 3x3 + 9 - (3)2 + 6 + 6. Your final answer should be 24.
Then again, because this question could of meant 2x rather than x^2, this could be completely wrong, so if you take a picture of the exact question I will be able to help you better. Also, I'm not sure if your 3x3 is an x or an multiplication sign.
write the equation of a line that goes through points (-2, 53) and (10, -103)
Answer:
The answer is y=-13x+27
Step-by-step explanation:
hope this helps
y²-y¹/x²-x¹
(-103)-53/10-(-2)
=-156/12
=-13
y=mx+b
-103=-13(10)+b
-103=-130+b
+130 +130
27=b
Enjoli is making cupcakes for a party. She needs 45 cupcakes but the recipe makes 15.
Strawberry Cupcake Recipe
Batches
Strawberries
1
1 and one-half cups
2
3
4
On a coordinate plane, a graph titled Strawberry Cupcake Recipe has Batches on the x-axis and cups of strawberries on the y-axis. Point A is at (1, 1.5), point B is (2, 3), point C is (3, 4.5), point D is (4, 6).
If she does not want any leftovers, which point should Enjoli use to determine the amount of strawberries she will need to make her cupcakes?
A
B
C
D
Answer:
The answer would be C
Step-by-step explanation:The answer would be C
Answer: The Answer Is C
What’s the distance 3 1/4 and -15
Answer:
18 1/4
Step-by-step explanation:
The easiest way to do this is to start at 0 and go 3 1/4 units to your right.
Then start at 0 and go -15 units to your left. So far I have not used a formula because I want you to see intuitively what the answer is. Then we'll do it with a formula.
The total distance is 3 1/4 + 15 = 18 1/4. Purists will hate the way I've done it, but beginners should understand what they are doing.
A formula would look like this
distanace = sqrt( x2 - x1 )^2 + (y2 - y1)^2 )
distance = sqrt( (3 1/4 - - 15)^2 + (4 - 4)^2 )
distance = sqrt( (18 1/4 )^2 + 0)
distance = 18 1/4
Four more than thrice number is greater than forty
Answer:
what is thrice ?
Step-by-step explanation:
Answer:
x > 12
Step-by-step explanation:
3x + 4 > 40
- 4. -4
3x > 36
divide both sides by 3
x > 12
You read 16 pages of an assignment in 20 minutes.At this rate, how many pages can you read in 45 minutes
Answer:
36
Step-by-step explanation:
20 mins=16 pages
40 mins=32 pages
5 mins=4 pages
In total 36 pages
