Answer:
1c
[tex]n = 33[/tex]
1d
[tex]n = 19[/tex]
Step-by-step explanation:
From the question we are told that
The probability of telesales representative making a sale on a customer call is [tex]p = 0.15[/tex]
The mean is [tex]\mu = 5[/tex]
Generally the distribution of sales call made by a telesales representative follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
and the probability distribution function for binomial distribution is
[tex]P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the mean is mathematically represented as
[tex]\mu = n* p[/tex]
=> [tex]5= n * 0.15[/tex]
=> [tex]n = 33[/tex]
Generally the least number of calls that need to be made by a representative for the probability of at least 1 sale to exceed 0.95 is mathematically represented as
[tex]P( X \ge 1) = 1 - P( X < 1 ) > 0.95[/tex]
=> [tex]P( X \ge 1) = 1 - P( X =0 ) > 0.95[/tex]
=> [tex]P( X \ge 1) = 1 - [ ^{n}C_0 * (0.15 )^0 * (1- 0.15)^{n-0}] > 0.95[/tex]
=> [tex] 1 - [1 * 1* (0.85)^{n}] > 0.95[/tex]
=> [tex] [(0.85)^{n}] > 0.05[/tex]
taking natural log of both sides
[tex]n = \frac{ln(0.05)}{ln(0.85)}[/tex]
=> [tex]n = 19[/tex]
WILL MARK BRAINIEST!!!
What is the best estimate for 38?
5.75
6.25
7.5
8.1
PLEASE HELP ASAP WILL GIVE BRAINLEIST!!
Camila was looking at the architect's blueprint of her house. The scale on the blueprint is shown below the blueprint on the left. What is the PERIMETER on the blueprint if the actual dimensions of her bedroom are 10 feet by 16 feet.
1/4 inch = 1 foot
Answer:
13 inches
Step-by-step explanation:
10 * 1/4 = 2 1/2 inches
16 * 1/4 = 4 inches
2(2 1/2) + 2(4) = 13 inches
Answer:
Its 4 feet, The other person is wrong and did not explain it the way the question says.
Step-by-step explanation:
Find the slope of a line that passes through the points. (-2, 3) and (4,8).
The auxiliary equation for the given differential equation has complex roots. Find a general solution.
y''-4y' +7y =0
Answer:
y = Ae^2xcos√3 x + Be^2xsin√3 x
Step-by-step explanation:
Given the differential equation
y''-4y' +7y =0
Let my = y' and m²y =y''
The auxiliary equation is expressed as;
m²y - 4my +7y = 0
(m²-4m+7)y =0
Divide through by y;
m²-4m+7= 0
Factorize the auxiliary equation
m = 4±√16-4(7)/2
m = 4±√-12/2
m = 4±2√3 i/2
m = 2+√3i
From the complex number a = 2(real part)
b = √3 (imaginary part)
Substitute into the general solution
y = Ae^axcosbx + Be^axsinbx
y = Ae^2xcos√3 x + Be^2xsin√3 x
20% discount of a grand total of $35.26
Answer:
$7.05
Step-by-step explanation:
Answer:
28.2
Step-by-step explanation:
The total amount y (in dollars) in your savings account after buying x video games is represented by y= 90-10x. You have $40 in your account after buying video games. How many video games did you buy?
5 video games bought.
Explanation:
Step one) identify all variables.
> y = money in bank acc AFTER buying (x) video games.
Step two) y = $40
Step three) substitute
> 40 = 90 - 10x.
Step Four) solve for x
> subtract 90 both sides.
-50 = -10x
DIVIDE by -10 on both sides ( to isolated x)
This equals 5 = x
x is number of video games bought meaning >> 5 video games bought
*sings body by Megan Thee Stallion*
A turkey costs $1.05 per pound. There are going to be fifteen people at Thanksgiving dinner. Plan for each person to eat two, 3/8 pound servings of turkey.
How many pounds of turkey will you need to buy?
Answer:
I will need to buy 22.5 pounds of turkey and pay $23.63
Step-by-step explanation:
Proportions
Each person is planned to eat 2 x 3/8 pound servings of turkey for thanksgiving dinner. This means each person will eat
[tex]2\cdot\frac{3}{4}=\frac{3}{2}[/tex]
pounds of turkey.
There are going to be 15 people at the dinner, thus the total turkey needed is:
[tex]15\cdot\frac{3}{2}=22.5~pounds[/tex]
The turkey costs $1.05 per pound, thus the total cost is
22.5*$1.05 = $23.63
I will need to buy 22.5 pounds of turkey and pay $23.63
Paul bought 1 1/3 pounds of bananas and apples. If he bought 1 4/5 pounds of apples, how many pounds of bananas did he buy
Answer:
that doesn't make sense. u cant buy more lbs of apples than apples and bananas combined
Step-by-step explanation:
Answer:
7/15
Step-by-step explanation:
Hope this helps!! :)
Please help me I need to get this right
Answer:
try the second one on top
Step-by-step explanation:
Which problem can be solved by division of decimals?
Danette needs 8 dozen eggs for her restaurant. How many eggs should she buy?
How much money does Dawna need to fill her 11.5 gallon gas tank if the price of gas is $3.59 a gallon?
How many more miles does Judy’s family have to drive to reach their destination if they have driven 45.4 miles of a 123.8 mile trip?
What is Jeremy’s average if he received a total of 323.7 points on 7 tests?
Answer:
What is Jeremy’s average if he received a total of 323.7 points on 7 tests?
Step-by-step explanation:
You have to divide 323.7 points by 7 tests so it is the only division problem out of all the problems.
-1 < 4x + 3 < 7
solve for x
Answer:
-1 <x< 1
Explanation:
Add -3 to both sides
Divide all parts by 4
Which problem can be shown using the equation 2 x 8 = 16 2
A rabbit jumps 2 feet. A kangaroo jumps 15 feet The kangaroo jumps 8 times as foros
the rabbit
O A rabbit jumps 2 feet A kangaroo jumps 15 feet The kangaroo jumps & more feet then
the rabbit
6) A rabbit jumps 2 feet A kangaroo jumps 8 feet. The kangaroo jumps 15 times as foros
the rabbit
A rabbit jumps 2 feet. A kangaroo jumps 8 feet. The animalis jump 15 feet in all
Answer:
C
Step-by-step explanation:
Given John's data collection method and findings, what conclusion can be made?
OA.
Only the claim for vehicle B is true because more people agree with their claim.
OB. Neither of the claims are correct.
Ос.
Both SUV manufacturers' claims are true, but the turning radius of vehicle B is sharper than the turning radius of vehicle A.
Only the claim for vehicle A is true because 11 out of 15 people agree with their claim.
OD
Answer:
b
Step-by-step explanation:
edg2020
A, B & C form a triangle where
∠
BAC = 90°.
AB = 9.1 mm and CA = 12.5 mm.
Find the length of BC,
Answer:
15.5
Step-by-step explanation:
9.1^2 + 12.5^2 = 239.06
square root of 239.06 is 15.5
Ramon would like to plant a garden where each row has the same combination of plants. If
Ramon has 27 tomato plants, 15 cucumber plants and 6 basil plants, what is the greatest number of rows the garden can have if Ramon uses all of the plants?
Answer:
48
Step-by-step explanation:
The greatest number of rows that can be formed in the garden will be 3.
What is the highest common factor?The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.
In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.
As per the given,
Ramon has 27 tomato plants, 15 cucumber plants, and 6 basil plants.
Factors of 27 = 1, 3, 9, and 27.
Factors of 15 = 1, 3, 5 and 15
Factors of 6 = 1, 2, 3 and 6
The GCF of 27,15 and 6 is 3.
Thus, only three raws are possible.
Hence "The greatest number of rows that can be formed in the garden will be 3".
To learn more about the highest common factor,
https://brainly.com/question/128394
#SPJ2
what is 3/4 ÷ 1/6 hlp
Answer:
The answer is 4.5
Step-by-step explanation:
.caculator.....hehe
Answer:
4.5
Step-by-step explanation:
If you divide 3/4 by 1/6 you will get 4.5. Hope this helps.
The product of z and 19 is represented by which of the following expressions?
A.
19 ÷ z
B.
19z
C.
19 + z
D.
19 – z
You are dealt one card from a standard 52-card deck. Find the probability of being dealt a red card
Answer:
It’s a 50% chance
Step-by-step explanation:
The probability of being dealt a red card is 1/2 or 50% if you are dealt one card from a standard 52-card deck.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
You are dealt one card from a standard 52-card deck.
Total number of red cards = 26
Total number of outcomes = 52
The probability of being dealt a red card = 26/52
The probability of being dealt a red card = 1/2
Or
The probability of being dealt a red card = 0.5 or 50%
Thus, the probability of being dealt a red card is 1/2 or 50% if you are dealt one card from a standard 52-card deck.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
Sierra wants to invest $5,000 at her local bank. She will receive an interest rate of 1%, compounded annually. What is the value of her investment after two years?
Answer:
Value of investment for Sierra after two years will be $5100.5
Step-by-step explanation:
Principal Amount P =$5000
Interest rate r = 1% = 0.01
Time t = 2 years
Compounded annually n = 1
We need to find future amount A
The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.01}{1})^{1*2}\\A=5000(1+0.01)^{2} \\A=5000(1.01)^{2}\\A=5000(1.0201)\\A=5100.5[/tex]
So, Value of investment for Sierra after two years will be $5100.5
Can someone help me solve all the questions in number 1?
Answer:
1 = 50⁰
2 = 130⁰
3 = 50⁰
4 = 85⁰
5 = 130⁰
6 = 50⁰
7 = 85⁰
8 = 45⁰
9 = 45⁰
10 = 135⁰
11 = 135⁰
12 = 45⁰
An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 451 watts with a variance of 144. What is the probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers if the claim is true?
Answer:
sorry for that i did not about that give a thanks and save water for feuter . jal
Find the zeros of each function. Part 2. Please show work.
1. f(x)=2x^3 - 3x^2 - 8x - 3
2. f(x)= x^3 + 3x^2 - 5x - 15
3. f(x)= 2x^4 - 3x^3 - 14x^2 + 18x + 12
4. f(x) = x^3 - 5x^2 + 5x - 1
9514 1404 393
Answer:
-1, -1/2, 3-3, -√5, √5-√6, -1/2, 2, √62-√3, 1, 2+√3Step-by-step explanation:
Personally, the "work" I like to do when finding higher-degree polynomial zeros is writing the equation into a graphing calculator. The rational zeros are usually fairly obvious (for school problems), and the irrational ones often can be arrived at without a lot of trouble.
__
1. The graph in the first attachment shows the zeros are -1, -1/2, 3. (You expect a zero with 2 in the denominator because of the leading coefficient.)
__
2. The graph in the first attachment shows the zeros are -3, -2.236, and +2.236. Factoring the function by grouping shows you the factors to be ...
f(x) = (x^3 +3x^2) -(5x +15) = x^2(x +3)-5(x +3) = (x +3)(x^2 -5)
The quadratic factor can be factored using the form for "difference of squares":
f(x) = (x +3)(x -√5)(x +√5)
The value of √5 is about 2.236, matching the numbers shown on the graph.
The zeros are -3, -√5, +√5.
__
3. The graph in the second attachment shows the zeros are -2.449, -1/2, 2, +2.449. (As in problem 1, you expect a zero with 2 in the denominator.) Factoring out the rational zeros* gives ...
f(x) = (2x +1)(x -2)(x^2 -6) = (2x +1)(x -2)(x -√6)(x +√6)
The zeros are -1/2, 2, -√6, +√6.
* The "work" of the synthetic division is shown in the third attachment. The coefficients of the quadratic are reduced by a factor of 2 from the result of division by (x+1/2) so they effectively show the quotient from division by (2x+1).
__
4. The graph in the fourth attachment shows the zeros are 0.268, 1, 3.732. Factoring out the rational zero gives ...
f(x) = (x -1)(x^2 -4x +1)
The zeros of the quadratic factor can be found any of several ways. One of my favorite is to use the graph to discover the vertex. For the vertex form ...
y = (x -h)^2 +k
the roots are h±√(-k). The vertex form of the quadratic term is
y = (x -2)^2 -3
so the roots are 2±√3.
The zeros are 1, 2-√3, 2+√3.
The average age of 40 students of a class is 15 years. An 18 year-old student left the class and a new student was admitted. As a result the average age fell to 14.885 years. Find the age of the new student.
Answer:
Answer:age of new student is 13.4 years
Step-by-step explanation:
SUM of ages all 40 students =average age times 40
=15*40=600
after leaving 18 years old student
SUM of ages of 39 students will be 600-18=582
after adding new student with age x
SUM of ages of 40 students will become 582+x
and the average would be (582+x)/40
which is given as 14.885
so we get equation
(582+x)/40=14.885
582+x=14.885*40=595.4
x=595.4-582
x= 13.4
age of new student is 13.4 years
Hope it will help you
Please mark as brainliest answer
the sudent age is 13.4
Step-by-step explanation:
SUM of ages all 40 students =average age times 40
=15*40=600
after leaving 18 years old student
SUM of ages of 39 students will be 600-18=582
after adding new student with age x
SUM of ages of 40 students will become 582+x
and the average would be (582+x)/40
which is given as 14.885
so we get equation
(582+x)/40=14.885
582+x=14.885*40=595.4
x=595.4-582
x= 13.4
age of new student is 13.4 years
(√7)5=7n, what is n?
Answer:
n = 5/√7
Step-by-step explanation:
(√7) 5 = 7n
5√7 = 7n
7n = 5√7
n = 5√7/7
n = 5/√7
-TheUnknownScientist
(√7)5 = 7n
Divide both sides by n.
(√7)5/7 = n
Find the value of k. Then find the
angle measures of the triangle.
2k
45°
ko
Sum of angle
measures: 180°
k + 2k + 45 = 180
3k = 180-45
k = 135/3
k = 45
2k = 2* 45
90
Mr. Reed has 114 students. He gives each student ¼ pound of candy in their Halloween bag. How many pounds of candy does he need to buy?
Answer:
hewo
Step-by-step explanation:
well you need to multiply 1/4*114 and that should give you your answer
which would be 28.5
I need help understanding this-
Answer: B
Step-by-step explanation: So that inequality, basically means that x is less than -6. Because there is also a line under the less than sign, that means that x is less OR equal to 6. When x can also be equal to 6, the circle on the number line will be filled in (if x was just less than 6, WITHOUT also being equal to it, than the circle would be empty). And because x is less than -6, the arrow will be pointing to the left.
PLZZZZZZZZZZZZZZZZZ HELP!
Solve each equation for the variable. Show every step in your work
-5(x+12)=20
answer: -5x+12=20
-12 -12
-5x/-5= 8/-5
x= -1.6
Check: rewrite the orignal problem
plug your variable
Nicola is multiplying 1/6 by 3/2. Use the drop down menu to complete the statement
Answer:
Step-by-step explanation:
1/6 x 3/2 = 1/4
Hope it helps
Answer:
Greater than
Step-by-step explanation:
write an expression in simplest form 3x x+10 2x+2 and 5x
I'm not sure how many equations you are asking for, but hopefully, you can use what I wrote here to solve your actual question. Here is my go:
3x+10+2x+2+5x
First, add all the x's together:
3x+2x+5x=10x
Next, add all our numerals together:
10+2=12
Put it together!
10x+12