Answer:
1
Step-by-step explanation:
3/4 + 1/4 since they both have a 4 as the denominator you only have to add the top since they made it easy. and since that would be 4/4 your answer would be 1 whole.
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]
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:
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
Question 2 (4 points)
A student rolled two six-sided dice. what is the probability that the first die landed
on a number less than 3 and the second die landed on a number greater than 3?
Answer:
Step-by-step explanation:
2x + 7 = 13
Please help
Answer:
x=3
Step-by-step explanation:
Hope this helps u..
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:
https://brainly.com/question/7380540
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]
What is 2/3 x 3/4 please help
Answer:
1/2
Step-by-step explanation:
Numbers like 10,100,1,000, and so on are called?
Answer:
They are called powers of ten
Step-by-step explanation:
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]
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
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."
need help with this please
Answer:
ok
Step-by-step explanation:
...............................................................
Answer:
I can't relly see can you take a cloeser pick
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
3-2/7 divided by 1-1/4
77 is 0.7% of what number?
Answer:
0.7% of 77 = 0.54 0.7%
Step-by-step explanation:
hope this helps
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
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
Using the model of 3.33, how dose the 3 in the one place compare to the 3 in the place to its right
Answer:
The 3 in the tens place is worth 10 times the 3 in the ones places.
Step-by-step explanation:
Have a great day :)
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
Question 1 of 3 NE A scale drawing of a fishing boat has a scale of 1 cmn to 2 meters. If the length of the fishing boat is 6 cm on the scale drawing, what is the actual length of the fishing boat?
Answer:
12 meters
Step-by-step explanation:
Given
[tex]Scale= 1cm:2m[/tex]
Required
Determine the measurement when the scale reads 6cm
Represent this scale with x;
Such that:
[tex]Scale = 6cm:x[/tex]
Equate
[tex]Scale= 1cm:2m[/tex] and [tex]Scale = 6cm:x[/tex]
[tex]1cm:2m = 6cm:x[/tex]
Express as fraction
[tex]\frac{1cm}{2m} = \frac{6cm}{x}[/tex]
Cross Multiply
[tex]x * 1cm = 6cm * 2m[/tex]
[tex]x * 1 = 6 * 2m[/tex]
[tex]x = 6 * 2m[/tex]
[tex]x = 12m[/tex]
Pls help 8th grade math
FILL IN THE BLANKS !!
. 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
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
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:
https://brainly.com/question/14180189
#SPJ3
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
kyle has 105 baseball cards and must give 2/5 of his cards away. how many cards will kyle give away? what fraction of his cards does he have left?
If sqrt 16 = x, then x2 =
Answer:
The square root of 16=4, 4x2=8, x2=8.
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.
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
A professor is interested in comparing the characteristics of students who do and do not vote in elections. For a random sample of 114 students who claimed to have voted in the last presidential election, she found a mean CPA of 2.71 and a standard deviation of 0.64. For an independent sample of 123 students who did not vote, the mean CPA was 2.79 and the standard deviation was 0.56. Test at the 5% level of significance if the mean CPA of all students who vote is lower than the CPA of students who do not vote.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the mean CPA of all students who vote is lower than the CPA of students who do not vote
Step-by-step explanation:
From the question we are told that
The first sample size is [tex]n_1 = 114[/tex]
The sample mean is [tex]\= x_1 = 2.71[/tex]
The standard deviation is [tex]s_1 = 0.64[/tex]
The second sample size is [tex]n_2 = 123 [/tex]
The sample mean is [tex]\= x_2 = 2.79[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The standard deviation is [tex]s_2 = 0.56 [/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu _2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]
Generally the test hypothesis is mathematically represented as
[tex]t = \frac{\= x_1 - \= x_2}{ \sqrt{ \frac{s_1^2 }{n_1} + \frac{s_2^2}{n_2} } }[/tex]
=> [tex]t = \frac{2.71 - 2.79}{ \sqrt{ \frac{0.64^2 }{ 114} + \frac{0.56^2}{123} } }[/tex]
=> [tex]t = -1.01 [/tex]
Generally given that variance are not equal (the standard deviation squared of both population are not equal ) the degree of freedom is mathematically represented as
[tex]df = \frac{[\frac{s_1^2}{n_1 } + \frac{s_2^2}{n_2} ]}{\frac{[\frac{s_1^2}{n_1}]^2 }{n_1 - 1} + \frac{[\frac{s_2^2}{n_2}]^2 }{n_2 - 1}}[/tex]
=> [tex]df = \frac{[\frac{0.64^2}{114} + \frac{0.56^2}{123} ]}{\frac{[\frac{0.64^2}{114}]^2 }{114 - 1} + \frac{[\frac{0.56^2}{123}]^2 }{123 - 1}}[/tex]
=> [tex]df = 225[/tex]
Generally from the t distribution table the the probability of (t < -1.01) at a degree of freedom of [tex]df = 225[/tex]is
[tex] p-value = P(t < -1.01 ) = 0.15679[/tex]
Generally the value obtained we see that [tex]p-value > \alpha[/tex] so
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the mean CPA of all students who vote is lower than the CPA of students who do not vote
