A train leaves the station traveling north at 75 mph 2 hours later a second train leaves on a parallel track and travels north at 125 mph how far from the station will they meet

Answer:

Step-by-step explanation:

The co-ordinates of B = ( 0 , a ) ⇒ ( x₁ , y₁ )

The co-ordinates of D = ( a , 0 )⇒( x₂ , y₂ )

Let's find the slope of BD

Slope = [tex] \mathrm{ = \frac{y2- y1}{x2 - x1} }[/tex]

[tex] \mathrm{ = \frac{0 - a}{a - 0} }[/tex]

[tex] \mathrm{ = \frac{ - a}{a} }[/tex]

[tex] \mathrm{ = - 1}[/tex]

[tex] \mathcal{HOPE \: I \: HELPED !}[/tex]

[tex] \mathcal{BEST \: REGARDS !}[/tex]

Answer:

0.00114

Step-by-step explanation:

Divide length value by 5280

Answer:

[tex]Difference = 4.41[/tex]

Step-by-step explanation:

Given

Represent Christina's time with C and the other runner's time with R

C = 22.3

R = 4.41 + C

Required

Determine the difference using an equation

The difference between both runner's time is as follows;

[tex]Difference = R - C[/tex]

Substitute 4.41 + C for R

[tex]Difference = 4.41 + C - C[/tex]

[tex]Difference = 4.41[/tex]

Hence, the difference is 4.41 seconds

Answer:

bro ur question is not understandable

Answer:

0

Step-by-step explanation:

We can find the slope  using the slope formula

m = (y2-y1)/(x2-x1)

   = ( 2-2)/(-4 -1)

   = 0/-5

  =0

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▹ Answer

Slope = 0

▹ Step-by-Step Explanation

[tex]Slope = \frac{y2 - y1}{x2 - x1} \\\\Slope = \frac{2 - 2}{-4 - 1} \\\\= \frac{0}{-5} \\\\= 0[/tex]

Hope this helps!

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Answer:

We conclude that there is no difference in potential mean sales per market in Region 1 and 2.

Step-by-step explanation:

We are given that a random sample of 12 supermarkets from Region 1 had mean sales of 84 with a standard deviation of 6.6.

A random sample of 17 supermarkets from Region 2 had a mean sales of 78.3 with a standard deviation of 8.5.

Let [tex]\mu_1[/tex] = mean sales per market in Region 1.

[tex]\mu_2[/tex]  = mean sales per market in Region 2.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_1-\mu_2[/tex] = 0      {means that there is no difference in potential mean sales per market in Region 1 and 2}

Alternate Hypothesis, [tex]H_A[/tex] : > [tex]\mu_1-\mu_2\neq[/tex] 0      {means that there is a difference in potential mean sales per market in Region 1 and 2}

The test statistics that will be used here is Two-sample t-test statistics because we don't know about population standard deviations;

                            T.S.  =  [tex]\frac{(\bar X_1 -\bar X_2)-(\mu_1-\mu_2)}{s_p \times \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 sales in Region 1 = 84

[tex]\bar X_2[/tex] = sample mean sales in Region 2 = 78.3

[tex]s_1[/tex]  = sample standard deviation of sales in Region 1 = 6.6

[tex]s_2[/tex]  = sample standard deviation of sales in Region 2 = 8.5

[tex]n_1[/tex] = sample of supermarkets from Region 1 = 12

[tex]n_2[/tex] = sample of supermarkets from Region 2 = 17

Also, [tex]s_p=\sqrt{\frac{(n_1-1)\times s_1^{2}+(n_2-1)\times s_2^{2} }{n_1+n_2-2} }[/tex]  = [tex]s_p=\sqrt{\frac{(12-1)\times 6.6^{2}+(17-1)\times 8.5^{2} }{12+17-2} }[/tex] = 7.782

So, the test statistics =  [tex]\frac{(84-78.3)-(0)}{7.782 \times \sqrt{\frac{1}{12}+ {\frac{1}{17}}} }[/tex]  ~   [tex]t_2_7[/tex]

                                   =  1.943  

The value of t-test statistics is 1.943.

Now, at a 0.02 level of significance, the t table  gives a critical value of -2.472 and 2.473 at 27 degrees of freedom for the two-tailed test.

Since the value of our test statistics 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.

Therefore, we conclude that there is no difference in potential mean sales per market in Region 1 and 2.

Answer-7/3

Step-by-step explanation:

Answer:

The probability mass function  that you never win [tex]^xC_o[/tex] = [tex](\dfrac{999999}{1000000})^x[/tex]

Step-by-step explanation:

Given that;

the winning chance of a weekly local lottery = [tex]\dfrac{1}{10^6}[/tex]

= [tex]\dfrac{1}{1000000}[/tex]

The probability of losing = 1 - probability of winning (winning chance)

The probability of losing = [tex]1- \dfrac{1}{1000000}[/tex]

The probability of losing =[tex]\dfrac{999999}{1000000}[/tex]

The probability mass function  that you never win [tex]^xC_o[/tex] = [tex](\dfrac{1}{10^6} )^0 ( \dfrac{999999}{1000000})^x[/tex]

The probability mass function  that you never win [tex]^xC_o[/tex] = [tex](\dfrac{999999}{1000000})^x[/tex]

Answer:

$5

Step-by-step explanation:

Using Promotion A, Jane would buy the first pair for $30 and the second for 1/2 * 30 = $15 for a total of 30 + 15 = $45. Using Promotion B, she would buy the first pair for $30 and the second for 30 - 10 = $20 for a total of 30 + 20 = $50. Since 45 < 50, Promotion A is the better deal, so Jane would save 50 - 45 = $5.

Answer:

C. $750

Step-by-step explanation:

The amount of money to be spent monthly on food = percentage covered by food in the circle ÷ 100% × total monthly income

= [tex] \frac{15}{100}*5000 [/tex]

[tex] = \frac{15}{1}*50 [/tex]

[tex] 15*50 = 750 [/tex]

Amount of money spent each month by the Masims is $750.

Solve

Let's solve your equation step-by-step.

9x−3−8x=7−x

Step 1: Simplify both sides of the equation.

9x−3−8x=7−x

9x+−3+−8x=7+−x

(9x+−8x)+(−3)=−x+7(Combine Like Terms)

x+−3=−x+7

x−3=−x+7

Step 2: Add x to both sides.

x−3+x=−x+7+x

2x−3=7

Step 3: Add 3 to both sides.

2x−3+3=7+3

2x=10

Step 4: Divide both sides by 2.

2x

2

=

10

2

x=5

Answer:

x=5

Answer:

Hope this is easier, good luck.

Answer:

  L(t) = 5·sin(πt) +7

Step-by-step explanation:

The middle of the oscillation of the given function occurs when t=0. At that point, ...

  L(0) = d = 7

The next maximum of the oscillation occurs when the argument of the sine function is π/2.

  b·t = π/2

  b = π/(2t) = π/(2·0.5) = π

At that maximum, the length is 12, so we have ...

  L(0.5) = a·sin(0.5π) +7 = 12

  a = 5

The function L(t) is ...

  L(t) = 5·sin(πt) +7

Answer:

b

Step-by-step explanation:

b: sin^2 0 + tan^2 0 this is just a gut feelings its been awhile since i done this kind of think i hope i could help

The expression equal to the length of the hypotenuse of a right triangle formed inside the unit circle with a radius of 1 is Option (D) [tex]sin^{2}[/tex]θ+[tex]cos^{2}[/tex]θ

A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees.

A hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.

Here,

The length of the hypotenuse of a right triangle, formed inside the unit circle, with a radius of 1 is 1 unit.

We know that,

[tex]sin^{2}[/tex]θ+[tex]cos^{2}[/tex]θ=1

Hence, The expression equal to the length of the hypotenuse of a right triangle formed inside the unit circle with a radius of 1 is Option (D) [tex]sin^{2}[/tex]θ+[tex]cos^{2}[/tex]θ

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Answer:

As in explanation.

Step-by-step explanation:

A) SSE means "Error Sum of Squares". The source of it is the sum of squared deviations within groups.

B) SSTR means "Treatment Sum of Squares". It's source is the weighted sum of squared deviations of group means from grand mean. It's the sum of squares between groups.

C) SST means "Total Sum of Squares''. It's source is total sum of squared deviations from the grand mean. It is a sum of SSE and SSTR.

A) SSE means "Error Sum of Squares". The source of it is the sum of squared deviations that lies within groups.

B) SSTR means "Treatment Sum of Squares". It's source that represents the weighted sum of squared deviations of group means from the grand mean. It's the sum of squares between groups.

C) SST means "Total Sum of Squares''. It's source that represents total sum of squared deviations from the grand mean. It is a sum of SSE and SSTR.

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Answer:

n = 8

Step-by-step explanation:

Follow the question when turning the word equation into an equation

Because we know this is a quadratic equation, the product is a result of n multiplied by itself

[tex]n^{2} -4=60[/tex]

Solve for n

[tex]n^{2} =64[/tex]

[tex]\sqrt{n^{2} } =\sqrt{64}[/tex]

n = 8

Answer:

9 1/3

Step-by-step explanation:

1. Set up the equation and solve

7 ÷ 3/4 = 9 1/3

Answer:

3/28 pounds or approximately 0.107 pounds

Step-by-step explanation:

To find out the amount of cake that each of the 7 students would get, we simply need to split the 3/4th pounds of cake amongst the 7 students.

Simply write the equation as follows:

(3/4)/7 = 3/28

So each student would get 3/28 of a pound of cake which is approximately 0.107 pounds of cake.

Cheers.

Answer:

1978.2 or 630π feet

Step-by-step explanation:

The Ferris wheel will rotate 3 * 5 = 15 times during the 5 minute ride and the radius is 42 / 2 = 21 feet. Since C = 2πr, r = 21 and π ≈ 3.14, C = 2 * 3.14 * 21 = 131.88. However, this only accounts for one rotation so the answer is 131.88 * 15 = 1978.2 or 630π feet.

Answer:

18² + 24² = x²

Step-by-step explanation:

Using the Pythagorean theorem, with legs a and b, and hypotenuse c, the equation is:

a² + b² = c²

If the legs measure 18 and 24, and the hypotenuse has length x, then you get:

18² + 24² = x²

Answer:

D

Step-by-step explanation:

Answer: 0.1 or 1/10

Step-by-step explanation:

[tex]\left(\frac{3}{4}-\frac{2}{3}\right)\cdot \:1\frac{1}{5}[/tex]

[tex]1\frac{1}{5}=\frac{6}{5}[/tex]

[tex]\left(\frac{3}{4}-\frac{2}{3}\right)\cdot \frac{6}{5}[/tex]

  [tex]\frac{3}{4}-\frac{2}{3}[/tex]    [tex]=\frac{9}{12}-\frac{8}{12}[/tex]

[tex]=\frac{1}{12}[/tex]

[tex]\frac{6}{5}\cdot \frac{1}{12}[/tex]

Cross, cancel common factor

[tex]\frac{1}{2}\cdot \frac{1}{5}[/tex]

[tex]=\frac{1}{10}[/tex]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The second option is the correct option

Step-by-step explanation:

From  the question we are told that

    The  sample  proportion is  [tex]\r p = 0.35[/tex]

The  Null Hypothesis is  [tex]H_o : \r p = 0.35[/tex]

The reason for this is that the this original claim when represented mathematically does not contain an equality sign ([tex]i.e \ it \ is \ mathematically \ represented \ as \ \r p < 0.35[/tex])  so the null hypothesis is the compliment of it ( i.e  [tex]\r p = 0.35[/tex])

The  Alternative hypothesis is  [tex]H_a : \r p < 0.35[/tex]

Add up the P(x) values that correspond to x = 2 through x = 4

0.07+0.22+0.22

So we have a 51% chance of getting an x value such that 1 < x < 5

By using the probability distribution table, the value of P(1<x<5) is 0.51

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true

A probability distribution is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events

Given,

We have to find the value of P(1<x<5)

P(1<x<5) = P(2)+P(3)+P(4)

P(2)=0.07

P(3)=0.22

P(4)=0.22

P(1<x<5) = 0.07+0.22+0.22 =0.51

Hence, the value of P(1<x<4)= 0.51

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Answer:

Aiko should not have put both of the 'i' out of the brackets.

Step-by-step explanation:

As only one integer has i with it, it is not possible to take the i out of the bracket.

Answer:

the relation is not one-to-one.

Step-by-step explanation:

it can't because every number is in the 4th quadrant.  

Answer:

A

Step-by-step explanation:

r=10 and the angle bln 5√3 and -5 is 330 or 11π/6

x = liters of 1% solution

y = liters of 5% solution

x + y = 16

0.01x + 0.05y = 0.04*16 = 0.64

y = 16 - x

0.01x + 0.05(16 - x) = 0.64

0.01x + 0.8 - 0.05x = 0.64

0.16 = 0.04x

x = 4

y = 12

The number of vehicles that drove less than 200, 000 km is 12 vehicles

The bar char represents the distance in thousand of km vehicles drove.

3 vehicle drove for 50 thousand kilometres.

4  vehicle drove for 100 thousand kilometres.

5  vehicle drove for 150 thousand kilometres.

Therefore, the total vehicle that drove for less than 200 thousand kilometres is as follows:

total vehicle that drove for less than 200, thousand km = 3 + 4 + 5 = 12 vehicles

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Answer:

2

Step-by-step explanation:

Answer:

The answer is 216

Step-by-step explanation:

if there is a 2 cm border, that means that the sides will both become 2 centimeters longer. so (16+2)*(10*2) = 18*12 = 216.

Answer: Option C.

Step-by-step explanation:

The lengths of our triangle are:

9, 10 and √130.

If the triangle is a triangle rectangle, by the Pitagoream's theorem we have:

A^2 + B^2 = H^2

in this case H is the larger side, this must be √130.

then:

A and B must be 9 and 10.

9^2 + 10^2 = (√130)^2

81 + 100 = 130

This is false, so this is NOT a triangle rectangle, the hypotenuse is shorter than it should be.

Now, we have some kind of rule:

 if A^2 + B^2 = H^2 then we have one angle of 90° and two smaller ones. (triangle rectangle)

 if A^2 + B^2 > H^2 then all the angles are smaller than 90°, this is an acute triangle.

 if A^2 + B^2 < H^2 then we have one angle larger than 90°, this is an obtuse angle.

(H is always the larger side, A and B are the two shorter ones).

In this case:

81 + 100 > 130

Then this must be an acute angle.

Answer:

D. (-7, 3)

Step-by-step explanation:

The equation given is in point-slope form.

Point-slope form is:

y-y1=m(x-x1)

This is where:

y1 is the y-coordinate of a point it goes through

m is the slope of the line

x1 is the x-coordinate of a point that it goes through

That said, in the given equation:

y1=3

m=4

x1=-7

Note that a point is (x-coordinate, y-coordinate)

Therefore, (-7, 3) is the point that lies on the line.