9514 1404 393
Answer:
-2, 1, 4, 7
Step-by-step explanation:
Start with n=1. Put the value where n is in the expression and do the arithmetic.
a1 = 3·1 -5 = -2
a2 = 3·2 -5 = 1
a3 = 3·3 -5 = 4
a4 = 3·4 -5 = 7
__
You may notice that each term is 3 more than the previous one.
What is the product of the binomials below? (D+1)(d-2)(d+3)
Five companies (A, B, C, D, and E) that make elec- trical relays compete each year to be the sole sup- plier of relays to a major automobile manufacturer. The auto company’s records show that the probabili- ties of choosing a company to be the sole supplier are Supplier chosen: A B C D E Probability: .20 .25 .15 .30 .10 a. Suppose that supplier E goes out of business this year, leaving the remaining four companies to compete with one another. What are the new probabilities of companies A, B, C, and D being chosen as the sole supplier this year? b. Suppose the auto company narrows the choice of suppliers to companies A and C. What is the probability that company A is chosen this year?
Answer:
a
[tex]P(a | e') = 0.22[/tex]
[tex]P(b | e') = 0.28[/tex]
[tex]P(c | e') = 0.33[/tex]
b
[tex]P(a | e' , d' , b') = 0.57 [/tex]
Step-by-step explanation:
From the question we are told that
The probabilities are
Supplier chosen A B C
Probability P(a) = 0.20 P(b) = 0.25 P(c) = 0.15
D E
P(d) = 0.30 P(e) = 0.10
Generally the new probability of companies A being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem
[tex]P(a | e') = \frac{P (a \ and \ e')}{P(e')}[/tex]
[tex]P(a | e') = \frac{P (a)}{P(e')}[/tex]
[tex]P(a | e') = \frac{P (a)}{1- P(e)}[/tex]
=> [tex]P(a | e') = \frac{ 0.20}{1- 0.10}[/tex]
=> [tex]P(a | e') = 0.22[/tex]
Generally the new probability of companies B being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem
[tex]P(b | e') = \frac{P (b \ and \ e')}{P(e')}[/tex]
[tex]P(b | e') = \frac{P (b)}{P(e')}[/tex]
[tex]P(b | e') = \frac{P (b)}{1- P(e)}[/tex]
=> [tex]P(b | e') = \frac{ 0.25}{1- 0.10}[/tex]
=> [tex]P(b | e') = 0.28[/tex]
Generally the new probability of companies C being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem
[tex]P(c | e') = \frac{P (c \ and \ e')}{P(e')}[/tex]
[tex]P(c | e') = \frac{P (c)}{P(e')}[/tex]
[tex]P(c | e') = \frac{P (c)}{1- P(e)}[/tex]
=> [tex]P(c | e') = \frac{ 0.15}{1- 0.10}[/tex]
=> [tex]P(c | e') = 0.17[/tex]
Generally the new probability of companies D being chosen as the sole supplier this year given that supplier E goes out of business is mathematically represented as below according to Bayes theorem
[tex]P(d | e') = \frac{P (d \ and \ e')}{P(e')}[/tex]
[tex]P(d | e') = \frac{P (d)}{P(e')}[/tex]
[tex]P(d | e') = \frac{P (d)}{1- P(e)}[/tex]
=> [tex]P(d | e') = \frac{ 0.30}{1- 0.10}[/tex]
=> [tex]P(c | e') = 0.33[/tex]
Generally the probability that B, D , E are not chosen this year is mathematically represented as
[tex]P(N) = 1 - [P(e) +P(b) + P(d) ][/tex]
=> [tex]P(N) = 1 - [0.10 +0.25 +0.30 ][/tex]
=> [tex]P(N) = 0.35[/tex]
Generally the probability that A is chosen given that E , D , B are rejected this year is mathematically represented as
[tex]P(a | e' , d' , b') = \frac{P(a)}{P(N)}[/tex]
=> [tex]P(a | e' , d' , b') = \frac{0.20 }{0.35 }[/tex]
=> [tex]P(a | e' , d' , b') = 0.57 [/tex]
Numbers like 10,100,1,000, and so on are called?
Answer:
They are called powers of ten
Step-by-step explanation:
If sqrt 16 = x, then x2 =
Answer:
The square root of 16=4, 4x2=8, x2=8.
Step-by-step explanation:
PLEASE HELP!!!!!!! Which set of numbers is arranged in decreasing order?
Answer:
C
Step-by-step explanation:
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solutions~Steps:}[/tex]
[tex]1.)~Simplify~everything~into~decimal~form:[/tex]
[tex]\bold{2\pi}[/tex] ≈ [tex]\bold{6.283185307}[/tex][tex]\bold{\sqrt{37}}[/tex] ≈ [tex]\bold{6.08276253}[/tex][tex]\bold{\frac{55}{9}}[/tex] ≈ [tex]\bold{6.111111111}[/tex][tex]2.)~Round~to~the~nearest~hundredth :[/tex]
[tex]\bold{2\pi:6.283185307=6.28}[/tex][tex]\bold{\sqrt{37}:6.08276253=6.08}[/tex][tex]\bold{\frac{55}{9}:6.111111111=6.11}[/tex][tex]3.)~Order~them~in~decreasing~order,~(Greatest~to~Least:)[/tex]
[tex]\bold{6.82}[/tex][tex]\bold{2\pi}[/tex][tex]\bold{\frac{55}{9}}[/tex][tex]\bold{\sqrt{37}}[/tex]______________________________
[tex]\bold{Answer:}[/tex]
[tex]\bold{The~correct~decreasing~order~is~\boxed{C.}}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]
5 divided by 1/4
a 10
b 5/4
c 1/20
d 20
Answer:
d
Step-by-step explanation:
it would be 5 x 4/1 and u would get 20/1
- when dividing with a fraction u have to do keep, change, flip
or just plug it into a calculator :))
Answer:
D. 20
Step-by-step explanation:
5 / (1/4) =20
5/.25=20
c. One sixth of a number is 15. What is the number?
Please explain step by step.
Answer:
90
if 15 is 1 6th then yo need 5 more 15s to find out the whole number
A basket can hold 30 apples. Max has 16 apples. He plans to buy 6 more. Each apple costs $1. After he buys the new ones, how many more apples will the basket hold? The basket can hold more apples after Max buys more.
Answer:
He can buy 8 more apples because 16+6=22-30=8
Step-by-step explanation:
Hope it helps :)
Have a good day/night
Brainliest pls?
2m^2 + 5m + 16 = 8
Solutions: ____
Show work:
Step 1: Equation to complete the square
Step 2: Show work here to find the c-value.
Step 3: Show work here to factor: (Don’t forget the sign of the binomial)
Step 4: Show work for solving for both roots.
Answer:
there is no solution for this equation
Select all the proper fractions.
Answer:
what are the fractions?
Step-by-step explanation:
Answer:
Step-by-step explanation:
Umm i need help and i forgot to put the picture da first time so yeaa
Answer:
75 14 12,600 781 128 399 26.13 40.80 12,750
Step-by-step explanation:
Hope this helps
Answer:
7. 100
8. 14
9. 12600
10. 639
11. 128
12. 399
13. Discount price= 12.87 Sale price= 26.13
14. 40.80
15. 12,750
I'm not 100% on #15 but the rest are good.
Step-by-step explanation: When you multiply the percent by the other number that gives you the difference. So then get the original number and either add or subtract the difference from the original number to get your answer. Add if increase Subtract if decrease.
So 7-11 you just have to multiply the percent by the other number.
7. 25*300% or 25*3 = 75 25 + 75 = 100
8. 56*.75 = 42 56-42= 14
9. 12000*.05 = 600 (since it is an increase add 600 to 12000) = 12600
10. 710*.10= 71 (71 is the difference so do this) 710-71= 639
11. 160*.20 = 32 (decrease) 160-32= 128
12. 380*.05=19 (increase) 380+19 = 399
13. 39*.33= 12.87 (decrease)
Discount price = 12.87
Sale price= 39-12.87= 26.13
14. 48*.15 = 7.20 (decrease) 48-7.20= 40.80
15. 3,000*3.25 = 9750 (increase) 9750 + 3000= 12,750
Adriana had 5.15 grams of pepper. Then she used 0.71 grams of the pepper to make some scrambled eggs. How much pepper does Adriana have left?
Answer:
the answer is 4.98
Step-by-step explanation:
you subtract 0.17 from 5.15 you will get 4.98
Pluto is 5,560,000,000 years old. Estimate the age of Pluto by writing it in the form of x×10y years, where x and y are single-digit numbers.
Answer:
The age of pluto is:
5,560,000,000 years old = 5.56 × 10⁹ years old
x = 5.56
y = power of 9
Step-by-step explanation:
Pluto is 5,560,000,000 years old. Estimate the age of Pluto by writing it in the form of x×10y years, where x and y are single-digit numbers.
We write this in standard form or scientific notation.
5,560,000,000 years old = 5.56 × 10⁹ years old
x = 5.56
y = power of 9
Find the Least Common Denominator of the fractions 5/8 , 1/2 , and 5/6
The Least Common Denominator of the fractions 5/8, 1/2, and 5/6 is 24.
What is least common denominator?The smallest number that can serve as a common denominator for a group of fractions is known as the least common denominator (LCD), also known as the lowest common denominator. The "smallest non-zero common number," a multiple of both numbers, is the least common multiple of two numbers.
How to solve it?Here, the given fractions are 5/8, 1/2, and 5/6.
So, we have to find the least common multiple of 8, 2, and 6 [Since they are the denominators of our given fractions].
8 = 2*2*2
2 = 2*1
6 = 2*3
So LCM of 8, 2, and 6 is 2*2*2*3 = 24
Therefore the Least Common Denominator of the fractions 5/8, 1/2, and 5/6 is 24.
Learn more about Least Common Denominator here -
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Write a linear function f with f(-3)=1 and f(13)=5
Answer:
[tex]y = \frac{1}{4}x +\frac{7}{4}[/tex]
Step-by-step explanation:
Given
[tex]f(-3) = 1[/tex]
[tex]f(13) = 5[/tex]
Required
Determine the linear function
A function is of the form:
[tex]y = f(x)[/tex]
Writing the given parameters in (x,y) format, we have:
[tex]f(-3) = 1[/tex] implies (-3,1)
[tex]f(13) = 5[/tex] implies (13,5)
So, the x and y values are:
(-3,1) and (13,5)
i.e.
[tex](x_1,y_1) = (-3,1)[/tex]
[tex](x_2,y_2) = (13,5)[/tex]
First, we need to determine the slope using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{5 - 1}{13 - -(3)}[/tex]
[tex]m = \frac{4}{13 +3}[/tex]
[tex]m = \frac{4}{16}[/tex]
[tex]m = \frac{1}{4}[/tex]
The equation is calculated as thus:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex](x_1,y_1) = (-3,1)[/tex]
[tex]m = \frac{1}{4}[/tex]
[tex]y - 1 = \frac{1}{4}(x - (-3))[/tex]
[tex]y - 1 = \frac{1}{4}(x +3)[/tex]
[tex]y = \frac{1}{4}(x +3) + 1[/tex]
[tex]y = \frac{1}{4}x +\frac{3}{4} + 1[/tex]
[tex]y = \frac{1}{4}x +\frac{3+4}{4}[/tex]
[tex]y = \frac{1}{4}x +\frac{7}{4}[/tex]
22-3(4)
How do I answer this question?
Answer:
76
Step-by-step explanation:
22-3=19
19x4=76
Pls help 8th grade math
FILL IN THE BLANKS !!
2x + 7 = 13
Please help
Answer:
x=3
Step-by-step explanation:
Hope this helps u..
The sum of three consecutive odd numbers is 297, what are they? Create an equation and solve.
Answer:
98 + 99 + 100 = 297
Step-by-step explanation:
Which expression represents 7 less than a number
Answer:
Step-by-step explanation:
x-7=18 because x would be the number with "7 less" being the "-7."
Which equation shows y=3x−15 in standard form?
A. 15x−5y=1
B. 15x+5y=−1
C. 5x−15y=1
D. 5x−15y=−1
Answer:
c 5x -15y =1
Step-by-step explanation:
5x-15y=1
-5x -15y= 1 -5x change the signs on both sides of the equation
15y = -1 +5x divide both sides by 15
y = -1/15 + 1/3 x Reorder the terms
y = 3x-15
:)
All options are wrong here.
Given equation is [tex]y=3x-15[/tex].
the equation given here is in form of [tex]y=mx+c[/tex] . The general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis) .
We have to write [tex]y=3x-15 \\[/tex] in standard form.
The standard form for linear equations in two variables is Ax+By=C.
Now we convert [tex]y=3x-15[/tex] in standard form.
Here [tex]y=3x-15\\[/tex]
[tex]y-3x=-15\\\\-y+3x=15[/tex]
[tex]3x-y=15[/tex]
But no options match with the above standard form of equation.
Hence all options are wrong here.
For more details on standard form for linear equations follow the link:
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If a polygon is a pentagon, then it has 5 sides hypothesis conclusion
Answer:
Hypothesis
Step-by-step explanation:
a polygon has five sides Conclusion: it is a pentagon If a polygon has five sides, then it is a pentagon.
hope this helps
"Macy was asked to compare the two ratios 4:5 and 19 to 30. Her work is shown below. Which is true"?
Answer:C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Initially a pool contains 340 gallons of water. A hose is placed in the pool, and the water is turned on. The hose adds 5.2 gallons of water per minute. Write an equation to represent the total amount V of water in the pool in terms of x, the number of minutes the hose has been on.
Answer: Amount of water that is turned in a minute is 5.2d. Given the fact that initially was 350 gallons of water everything you pour needs to be added to the initial amount. So the answer is V(x) = 350 + 5.2x
thank me plz brainliest
Step-by-step explanation:
What Is f(0) ?
Choices
12 only
2 and 3 only
-2, -1, 1, and 2 only
-2, -1, 1 2 and 12
Answer:
12 only
Step-by-step explanation:
It means x is zero, and the only point on x=0 is 12 :)
According to the graph the function f(0) is 12 only .
What is intercepts?The x-intercept is the point where a line crosses the x-axis or at y = 0, and the y-intercept is the point where a line crosses the y-axis or at x =0.
According to the question
The graph shows the function in which
f(0) is
i.e
x = 0 or y intercept
Now, according to the graph
at x = 0 , y = 12
Or
f(0) = 12
Hence, The function f(0) is 12 only .
To know more about intercepts here:
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Compare decimals in differ
Order the values from least to greatest.
91 hundredths
(1x1)+ (9
(1x)
1
10
0.19
Stuck? Watch a video or use a hint.
Answer:
hehaw
Step-by-step explanation:
0.19, 91 hundredths, then the equation
What is the opposite of the opposite of -1.4?
Answer:
-1.4
Step-by-step explanation:
opposite of -1.4 = 1.4
opposite of the opposite of -1.4 = the opposite of 1.4 = -1.4
3-2/7 divided by 1-1/4
Question
Find the average rate of change of the function f(x). given below, from x = -1 to x = 4.
f(x) = -x^3+5x^2
Step-by-step explanation
x=-1
x=4
f(x)= x^3+5x^2
. An independent-measures research study was used to compare two treatment conditions with n=12 participants for each treatment. The first treatment condition had M=55 with a variance of s2=8, and the second treatment condition had M= 52 and s2=4. Look up the appropriate critical value based on your computed degrees of freedom. Do these data indicate a significant difference between the two treatments
Answer:
Decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence that indicate that there is a significant difference between the two treatments
Step-by-step explanation:
From the question we are told that
The sample size is n = 12
The first mean is [tex]M_1 = 55[/tex]
The variance is [tex]s^2_1 = 8[/tex]
The second mean is [tex]M_2 = 52[/tex]
The second variance is [tex]s^2_2 = 4[/tex]
Let the level of significance be [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : M_1 = M_2[/tex]
The alternative hypothesis is [tex]H_a : M_1 \ne M_2[/tex]
Generally the test statistics is mathematically
[tex]t = \frac{M_1 - M_2 }{ \sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}} }[/tex]
=> [tex]t = \frac{55 - 52 }{ \sqrt{\frac{8}{12} +\frac{4}{12 }} }[/tex]
=> [tex]t = 1.1619 [/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = 12 -1[/tex]
=> [tex]df = 11 [/tex]
Generally from the t- distriibution table the critical value of [tex]\alpha[/tex] at a degree of freedom of [tex]df = 11 [/tex] is
[tex]t_{0.05 , 11} = 2.20098516[/tex]
Here given that the critical value is greater than the t statistics value the
Decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence that indicate that there is a significant difference between the two treatments
