What is the residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs $78?

Answer:

(a) The probability of the company becoming a successfully approved supplier to Ford Motor Company is 0.2048.

(b) The probability of the company becoming a successfully approved supplier to General Motors Company is 0.2448.

Step-by-step explanation:

A local startup company working on a smart dashboard camera system is bidding to be a supplier for both Ford Motor company and General Motors.

Both the companies have a two-tier system where suppliers are approved in two separate phases.

It is provided that a company can move on to Phase II if they have passed the Phase I phase.

(a)

The chances of landing with a supplier contract with Ford Motor Company is 32% in Phase I while it is 64% in Phase II.

That is:

P (Phase I) = 0.32

P (Phase II | Phase I) = 0.64

Consider the tree diagram below.

Compute the probability of the company becoming a successfully approved supplier to Ford Motor Company as follows:

P (Supplier to Ford Motor Company) = P (Phase II | Phase I) × P (Phase I)

                                                             [tex]=0.64\times 0.32\\=0.2048[/tex]

Thus, the probability of the company becoming a successfully approved supplier to Ford Motor Company is 0.2048.

(b)

The chances of landing with a supplier contract with General Motors is 68% for Phase I and 36% for Phase II.

That is:

P (Phase I) = 0.68

P (Phase II | Phase I) = 0.36

Consider the tree diagram below.

Compute the probability of the company becoming a successfully approved supplier to General Motors as follows:

P (Supplier to General Motors Company) = P (Phase II | Phase I) × P (Phase I)

                                                                    [tex]=0.36\times 0.68\\=0.2448[/tex]

Thus, the probability of the company becoming a successfully approved supplier to General Motors Company is 0.2448.

Answer:

a

The probability that the selected joint was judged to be defective by neither of the two inspectors is   [tex]P(A' n B' ) = 0.8855[/tex]

b

The probability that the selected joint was judged to be defective by inspector B but not by inspector A  is  [tex]P(A' n B) =0.0403[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is [tex]n_s = 10000[/tex]

    The number of outcome for inspector A is  [tex]n__{A}} = 742[/tex]

    The number of outcome for inspector B is  [tex]n__{B}} = 745[/tex]

     The number of joints judged defective by both inspector is [tex]n(A u B) = 1145[/tex]

The the probability that the selected joint was judged to be defective by neither of the two inspectors is mathematically represented as

      [tex]P(A' n B' ) = 1 - P(A u B)[/tex]

Now

       [tex]P(A\ u \ B) = \frac{n(Au B)}{n_s }[/tex]

substituting values

        [tex]P(A\ u \ B) = \frac{1145}{ 10 000 }[/tex]

So  

      [tex]P(A' n B' ) = 1 - \frac{1145}{10 000}[/tex]

     [tex]P(A' n B' ) = 0.8855[/tex]

the probability that the selected joint was judged to be defective by inspector B but not by inspector A  is mathematically represented as

     [tex]P(A' n B) = P(A \ u \ B) -P(A)[/tex]

Now

        [tex]P(A) = \frac{n__{A}}{n_s}[/tex]

substituting values

       [tex]P(A) = \frac{742}{10 000}[/tex]

So

     [tex]P(A' n B) = \frac{1145}{10 000} - \frac{742}{10 000}[/tex]

    [tex]P(A' n B) =0.0403[/tex]

Answer:

6x - 18

Step-by-step explanation:

(2x - 6) + 4(x - 3) =

= (2x - 6) + 4x - 12 =

= 2x - 6 + 4x - 12 =

= 2x + 4 - 6 - 12 =

= (2x + 4x) + (-6 - 12) =

= 6x - 18

Answer:

2[tex]\sqrt{10}[/tex]

Step-by-step explanation:

You can get this by using the Pythagorean Theorem

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

3^2 + b^2 = 7^2

9 + b^2 = 49

b^2 = 40

sqrt of both sides

b = [tex]\sqrt{40}[/tex]

b = 2[tex]\sqrt{10}[/tex]

if this helps please give me brainliest

The amount of NO can be decreased by decreasing the concentration of N2(g).

The term equilibrium refers to the point at which the rate of the forward reaction and the rate of the reverse reaction are the same.

We have the reaction; N2(g) + O2(g) + energy ------>2 NO(g), in order to drive this reaction in the reverse direction, the concentration of N2(g) can be decreased.

Learn more about equilibrium: https://brainly.com/question/14227610

Answer:

C = 10 units²

Step-by-step explanation:

AB is 4 units long AC is 5 units long(by distance formula)

call AB and AC the base and height respectively. Multiply them, divide by 2: 4x5=20

20/2 = 10

Answer:

the value of x = 35 ( NOT - 40 )

Step-by-step explanation:

In order to calculate the value of x in the  following parallelogram:  2x - 10  

2x + 50, we would have to calculate the following formula:

m<QPS+m<PQR=180°

According to the given data we have the following:

m<QPS=2x - 10  

m<PQR=2x + 50

Therefore, 2x - 10+2x + 50=180

4x+40=180

x=140/4

x=35

The value of x is 35 because in a parallelogram sum of the two adjacent angles is equal to 180 degree

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we know,

In a parallelogram sum of the two adjacent angles is equal to 180 degree

2x - 10 + 2x + 50 = 180

4x + 40 = 180

4x = 140

x = 35

Thus, the value of x is 35 because in a parallelogram sum of the two adjacent angles is equal to 180 degree

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Answer:

  -7

Step-by-step explanation:

(6^9)(6^x) = 6^2

Taking logarithms to the base 6, we have ...

  9 + x = 2

  x = -7 . . . . . subtract 9

Answer:

-7

Step-by-step explanation:

We're in the screening room of an exotic little San Francisco Bay area production company called Pixar Animation Studios, watching the dailies of a major work-in-progress, director John Lasseter presiding. And not to get too hyperbolic here, but we're witnessing history being made before our very eyes. You've heard of Debbie Does Dallas? Call this Disney Does Digital.

Two years ago, less than a half-dozen feature films employed the use of computer graphics; this year maybe a half-dozen won't use any sort of digital enhancements. If Hollywood has suddenly embraced the computer as a significant (and cost-effective) illusion-making tool, then Disney's Toy Story is arguably the most ambitious computer-generated undertaking yet.

hope this helps!

Answer:

We're in the screening room of an exotic little San Francisco Bay area production company called Pixar Animation Studios, watching the dailies of a major work-in-progress, director John Lasseter presiding. And not to get too hyperbolic here, but we're witnessing history being made before our very eyes. You've heard of Debbie Does Dallas? Call this Disney Does Digital.

Two years ago, less than a half-dozen feature films employed the use of computer graphics; this year maybe a half-dozen won't use any sort of digital enhancements. If Hollywood has suddenly embraced the computer as a significant (and cost-effective) illusion-making tool, then Disney's Toy Story is arguably the most ambitious computer-generated undertaking yet.

Step-by-step explanation:

Answer:

So the value of sin20 = 0.342

Step-by-step explanation:

The value proportional or equivalent to sin20 can be gotten from calculator value directly or from a graph.

But right niw the most suitable answer is the value for the calculator because its difficulty and complications have been reduced

So the value of sin20 = 0.342

Answer:

1/36

Step-by-step explanation:

The probability of getting green is 1/6

and the probability of getting red is 1/6.

Now,we want to know the probability of getting red and green. In probability,the word 'and' means times.

So it would be;

1/6 times 1/6

= 1/36

Answer:

a) Range =10

b) inter quartile range = 4.5

Step-by-step explanation:

Explanation:-

Given minimum =5

             Median=8

 upper quartile  (Q3) =11.5

Lower quartile range= 7

                Maximum=15

a)  Range = maximum value -minimum value

           = 15 -5

          = 10

b) Interquartile Range = median of upper half - median of lower half

                               =   Q₃- Q₁

                               =   11.5 - 7

                               =   4.5    

Answer:

Kendra should of divided by 2

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Step-by-step explanation:

0.153 is the largest number

Answer:

I believe 0.153 to be the greatest

Step-by-step explanation:

0.153

15%= 0.15

1/12= 0.0833333

1/7= 0.1428571429

Answer:

5x - 1

Step-by-step explanation:

f(x) = 3x - 2

g(x) = 2x + 1

(3x - 2) + (2x + 1)

3x + 2x = 5x

-2 + 1 = -1

Answer: 5x - 1

Answer:

That may or may not be true, depending one the ship size.

Step-by-step explanation:

'Can't really give a proper answer, to somethings that's not a q. *shrug*

Answer:

10 inches

Step-by-step explanation:

This inversely proportional function, the more flowers - the less distance.

Flowers = k/distance

30 = k/12

k = 30*12 = 360

Flowers = 360/distance

New number of flowers and new distance:

Flowers = 360/distance

36 = 360/distance

distance = 360/36= 10 (inches)

Answer:

[tex]P(4)=7\,,\,P(-9)=-5[/tex]

Step-by-step explanation:

Given:  P(x) has a remainder 1 when divided by  [tex]x-9[/tex], P(x) has a remainder 7 when divided by [tex]x-4[/tex], P(x) has a remainder 0 when divided by  [tex]x+4[/tex] and P(x) has a remainder -5 when divided by [tex]x+9[/tex]

To find: [tex]P(4),P(-9)[/tex]

Solution:

According to remainder theorem, when a polynomial [tex]P(x)[/tex] is divided by a polynomial [tex]x-a[/tex], the remainder obtained is equal to [tex]P(a)[/tex].

As P(x) has a remainder 7 when divided by [tex]x-4[/tex],

[tex]P(4)=7[/tex]

As P(x) has a remainder -5 when divided by [tex]x+9[/tex],

[tex]P(-9)=-5[/tex]

Answer:

1

Step-by-step explanation:

I'm not sure if this is right, but I think it's 1. If you think about the simplest quintic polynomial, x^5, and set it to any real number, you'll always get 1 solution. I don't think it's possible to have 0 or no real solutions. Hope this helps!

Answer:

We conclude that there is no difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold.

Step-by-step explanation:

We are given that a random survey of 10 Visa Gold cardholders resulted in a mean household income of $50,930 with a standard deviation of $9500.

A random survey of 66 MasterCard Gold cardholders resulted in a mean household income of $45,720 with a standard deviation of $9800.

Let [tex]\mu_1[/tex] = true mean household income for Visa Gold cardholders.

[tex]\mu_2[/tex] = true mean household income for MasterCard Gold cardholders.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_1=\mu_2[/tex]     {means that there is no difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_1\neq \mu_2[/tex]     {means that there is a difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold}

The test statistics that would be used here Two-sample t test statistics as we don't know about the population standard deviations;

                         T.S. =  [tex]\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex]  ~ [tex]t__n__1-_n__2-2[/tex]

where, [tex]\bar X_1[/tex] = sample mean household income for Visa Gold cardholders = $50,930

[tex]\bar X_2[/tex] = sample mean household income for MasterCard Gold cardholders = $45,720

[tex]s_1[/tex] = sample standard deviation for Visa Gold cardholders = $9,500

[tex]s_2[/tex] = sample standard deviation for MasterCard Gold cardholders = $9,800

[tex]n_1[/tex] = sample of Visa Gold cardholders = 10

[tex]n_2[/tex] = sample of MasterCard Gold cardholders = 6

Also, [tex]s_p=\sqrt{\frac{(n_1-1)s_1^{2} +(n_2-1)s_2^{2} }{n_1+n_2-2} }[/tex]  = [tex]\sqrt{\frac{(10-1)\times 9,500^{2} +(6-1)\times 9.800^{2} }{10+6-2} }[/tex] = 9,608.22

So, the test statistics  =  [tex]\frac{(50,930-45,720)-(0)}{9,608.22 \times \sqrt{\frac{1}{10} +\frac{1}{6} } }[/tex]  ~ [tex]t_1_4[/tex]

                                    =  1.05

The value of t test statistics is 1.05.

Now, at 0.01 significance level the t table gives critical values of -2.977 and 2.977 at 14 degree of freedom for two-tailed test.

Since our test statistic lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that there is no difference in the mean household income for credit cardholders of Visa Gold and of MasterCard Gold.

Answer:

a = 3

b = 12

c = 13

Step-by-step explanation:

[tex] \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } = {2}^{c} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } \\ \\ \frac{ {2}^{5}. {( {2}^{3}) }^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { ({2}^{a}) }^{4} }{ {2}^{4} } \\ {( {2}^{3}) }^{4} = { ({2}^{a}) }^{4} \\ {2}^{3} = {2}^{a} \\ \huge \red{ \boxed{a = 3}} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } \\ \frac{ {2}^{5}. { ({2}^{3} )}^{4} }{ {2}^{4} } = \frac{ {2}^{5}. { {2}^{b} } }{ {2}^{4} } \\ { ({2}^{3} )}^{4} = { {2}^{b} } \\ {2}^{12} = { {2}^{b} } \\ \huge \purple{ \boxed{b = 12}} \\ \\ \frac{ {2}^{5}. {8}^{4} }{16} = {2}^{c} \\ \frac{ 16 \times 2. {( {2}^{3}) }^{4} }{16} = {2}^{c} \\ 2 \times {2}^{12} = {2}^{c} \\ {2}^{13} = {2}^{c} \\\huge \orange{ \boxed{ c = 13}}[/tex]

Answer:

Take [tex]b = \frac{3}{10}(6,2)[/tex] as the vector in Span(u) and [tex]w =  \frac{4}{5}(-1,3)[/tex] as the orthogonal vector to u

Step-by-step explanation:

Given vectors a,b we can calculate the projection of a onto b by the formula

[tex] \frac{a\cdot b}{b\cdot b}b[/tex]. where [tex]\cdot[/tex] is the dot product of vectors.

For this example, we will take y = [1,3] and u = [6,2].

Let b be the projection of y onto u. That is

[tex] b= \frac{y\cdot u}{u\cdot u}u = \frac{1\cdot 6+ 3\cdot 2}{6\cdot 6+2\cdot 2}(6,2) = \frac{3}{10}(6,2)[/tex]

Now, we want to find an orthogonal vector w such that b+w = y. From this equation, we can find w by taking w = y-b. Then

[tex] w = (1,3)-\frac{3}{10}(6,2) = \frac{4}{5}(-1,3)[/tex]

We must check that w and u are orthogonal. Note that if the vectors a,b are orthogonal, then the vectors a, kb are also orthogonal for every non-zero value of k. So, to check that a,kb are orthogonal, it suffices to check that a,b are orthogonal. We know that two vectors are orthogonal if and only if their dot product is zero. In our case, take the vector (6,2) and (-1,3). Note that

[tex](6,2)\cdot(-1,3) = -6+2\cdot3 = 0[/tex]

So, by the previous analysis, w and u are orthogonal.

Answer:

  B.  If ΔKLM ≅ ΔPQR and ΔPQR ≅ ΔSTU, then ΔKLM ≅ ΔSTU

Step-by-step explanation:

The transitive property in general says ...

  if a=b and b=c, then a=c

The transitive property of congruence replaces the equal sign with a congruence symbol, and replaces a, b, c with any geometric figure. Here, the geometric figures used are triangles KLM, PQR, and STU.

  If ΔKLM ≅ ΔPQR and ΔPQR ≅ ΔSTU, then ΔKLM ≅ ΔSTU

Answer: y=15x+5

Step-by-step explanation:

Looking at what we are given, we can tell that the y-intercept is 5. To ge tthe slope, you use [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]. With the slope , you get 15.

Answer:

130

Step-by-step explanation:

60° + 70° = x

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 60 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

60 + 70 = x

→ Simplify

130 = x

x = 130°

Question:

The angle [tex] \theta_1[/tex] is located in Quadrant III, and [tex] sin(\theta_1) = - \sqrt{\frac{3}{2}} [/tex].

What is the value of [tex] cos(\theta_1)[/tex] ?

Express your answer exactly. [tex] cos(\theta1) = [/tex] ________

Answer:

[tex] cos(\theta_1) = - \frac{1}{2} [/tex]

Step-by-step explanation:

Given:

[tex] sin(\theta_1) = - \sqrt{\frac{3}{2}} [/tex]

Since the angle [tex] \theta_1[/tex] is located in Quadrant III, we have:

[tex] sin(\theta_1) = sin(\pi + \frac{\pi}{3}) [/tex]

[tex] \theta_1 = \pi + \frac{\pi}{3}[/tex]

[tex] \theta_1 = \frac{4 \pi}{3}[/tex]

Thus, [tex] cos(\theta_1) [/tex] =

[tex] cos(\theta_1) = cos(\pi + \frac{\pi}{3}) [/tex]

[tex] cos(\theta_1) = -cos(\frac{\pi}{3}) [/tex]

[tex] cos(\theta_1) = - \frac{1}{2} [/tex]

The linear function y = 6x +10 has the same y intercept as the one that is represented by the graph. Option D is correct.

Functions is the relationship between sets of values. And shows their characteristic curve as well.

Here, the curve shows in the graph as y intercept of 10 on y axis, is linear function. From options we have only one option that show the same y intercept y = 10.
That linear function ⇒ y =6x+18 (obtained from option D).

Thus, the linear function y = 6x +10 has the same y intercept as the one that is represented by the graph.

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Answer:

The linear function y = 6x +10 has the same y intercept as the one that is represented by the graph. Option D is correct.

Step-by-step explanation:

Answer:

b. 424

Step-by-step explanation:

it gives the equation N=41b+137

N=41(7)+137

N=424

Answer:

  signs of the constants in the binomial factors are negative

Step-by-step explanation:

Assuming the first term (a) is positive, the fact that c is negative means the constants in the binomial factors have the same sign. The negative b means that sign is negative.

  2x^2 -7x +6 = (x -2)(2x -3)

__

Further comment

c is the product of the constants in the binomial factors so will be positive when both those constants have the same sign.

b is the sum of the constants in the binomial factors. If both factors have the same sign (c > 0), then those constants have the same sign as b.

In this analysis, "a" is assumed to be positive. If it is not, then the same analysis can be done after reversing all of the signs.