PLEASE HELP ASAP WILL MARK BRAINLIEST

Answer:

3x-2y=17........(1)

x=4y-1

substituting value of x in equation 1

3(4y-1)-2y=17

12y-3-2y=17

10y=17+3

y=20/10=2

again

substituting value of y in equation 1

3x-2×2=17

3x=17+4

x=21/3=7

:.x=7,y=2

Answer:

13.9

Step-by-step explanation:

Speed=distance/time

S=75,000/5,400

S=13.8 repeating OR (rounded) 13.9 m/s

Therefore, based on the given information, you would need to save $800 for the down payment on the car, as it corresponds to 10 percent of the car's price ($8,000).

To calculate the down payment required for a car priced at $8,000 with a 10 percent down payment, you need to multiply the price of the car by the down payment percentage.

The given information states that the price of the car is $8,000.

The down payment percentage specified by the dealer is 10 percent. In decimal form, this is represented as 0.10.

To calculate the down payment amount, we multiply the price of the car ($8,000) by the down payment percentage (0.10).

Down payment = $8,000 × 0.10

Performing the multiplication:

Down payment = $800

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The range of the data on the boxplot is 12

From the question, we have the following parameters that can be used in our computation:

The box plot

The range is calcilated as

Range = Maximum - Minimum

From the plot, we have

Maximum = 12

Minimum = 0

Substitute the known values in the above equation, so, we have the following representation

Range = 12 - 0

Evaluate

Range = 12

Hence, the range is 12

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Answer:

Step-by-step explanation

Answer:

m A = 63

m C = 27

Step-by-step explanation:

to find the angle of a use trigonometry by doing, cos-1(17/38) = 63

to find C, we know angles in a triangle add to 180. We know the right angle is 90 degrees so do 90 + 63 = 153

180 - 153 = 27

so C = 27 degrees

Answer:

Its the first one

Step-by-step explanation:

We get more money off when we follow order 1, that is, second deal follows first deal.

Given,

There are two deals in an online electronics retailer.

First deal: 10% off on your total purchase = x × (90/100)

Second deal: $20 off on a purchase of minimum $100 = x - 20

x be the money we spend.

We have to spend a minimum of $100.

They allowed us to use both deals.

We have to find the order of deals.

Lets check:

Order 1:

First deal, then Second deal.

First deal, x = 100

ie, x × (90/100) = 100 × (90/100) = 90

Second deal, x = 90

ie, x - 20 = 90 - 20 = 70

100 - 70 = 30

ie, $30 will get off when we apply this order.

Order 2:

Second deal, then first deal.

Second deal, x = 100

x - 20 = 100 - 20 = 80

First deal, x = 80

ie, x × (90/100) = 80 × (90/100) = 72

100 -72 = 28

ie, $28 will get off when we apply this order.

So, we can go for order 1.

Now lets check the same with x = 150 and x = 500

x = 150

Order 1:

First deal, then Second deal.

First deal: x = 150

ie, x × (90/100) = 150 × (90/100) = 135

Second deal, x = 135

ie, x - 20 = 135 - 20 = 115

150 - 115 = 35

ie, $35 will get off when we apply this order.

Order 2:

Second deal, then first deal.

Second deal, x = 150

x - 20 = 150 - 20 = 130

First deal, x = 130

ie, x × (90/100) = 130 × (90/100) = 117

150 - 117 = 33

ie, $33 will get off when we apply this order.

So, we can go for order 1.

x = 500

Order 1:

First deal, then Second deal.

First deal: x = 500

ie, x × (90/100) = 500 × (90/100) = 450

Second deal, x = 450

ie, x - 20 = 450 - 20 = 430

500 - 430 = 70

ie, $70 will get off when we apply this order.

Order 2:

Second deal, then first deal.

Second deal, x = 500

x - 20 = 500 - 20 = 480

First deal, x = 480

ie, x × (90/100) = 480 × (90/100) = 432

500 - 432 = 68

ie, $68 will get off when we apply this order.

So, we can go for order 1.

Lets  conclude that,

We get more money off when we follow order 1, that is, second deal follows first deal.

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Let's analyze the given probability mass function (pmf) for the random variable X. We know that P(X = i) = 21 for some fixed α in the set of real numbers, R. However, it seems there is an error in the given pmf value. The probability of any specific value in a discrete probability distribution should be between 0 and 1. Therefore, it is not possible for P(X = i) to equal 21.

To proceed with finding EX, we need a valid pmf. Without further information or clarification, it is not possible to determine the expected value of X.

Moving on to the second part of the question, we introduce a new random variable Y = X mod 3. The modulus operator (mod) finds the remainder when dividing X by 3. In other words, Y represents the numbers in X that leave a remainder of 1 when divided by 3.

To find P(Y = 1), we need to calculate the probability that Y takes the value 1. Since Y represents the remainder when dividing X by 3, Y can only take the values 0, 1, or 2.

To calculate P(Y = 1), we sum up the probabilities of all the values in X that leave a remainder of 1 when divided by 3. Mathematically, we can express this as:

P(Y = 1) = P(X = 1) + P(X = 4) + P(X = 7) + ...

However, since the pmf values were given incorrectly, it is not possible to compute P(Y = 1) without a valid pmf. Therefore, we cannot provide a specific numerical answer for P(Y = 1) in this case.

In summary, without a valid pmf for X, it is not possible to determine the expected value of X (EX) or calculate the probability P(Y = 1) for the random variable Y = X mod 3.

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Answer:

The specific heat of the brass can be calculated using the formula:

Q = mcΔT

where Q is the heat transferred, m is the mass of the brass, c is the specific heat of the brass, and ΔT is the change in temperature.

First, calculate the heat transferred from the brass to the water:

Qbrass = mcΔT = (125 g)(c)(100 °C - 35 °C) = 9375c J

Next, calculate the heat transferred from the water to the brass:

Qwater = mcΔT = (76 g)(4.184 J/g. °C)(35 °C - 25 °C) = 3191.84 J

Since the heat lost by the brass is equal to the heat gained by the water:

Qbrass = Qwater

9375c J = 3191.84 J

c = 0.34 J/g. °C

Therefore, the specific heat of the brass is 0.34 J/g. °C.

Step-by-step explanation:

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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The second option has the best value for money. It is $0.014 cheaper.

First we know that a 80 ml bottle is priced at  £55, then the price per ml will be given by the quotient:

p = 55/80 = 0.689

In the other case a 50ml bottle costs  £45 and a second one of 50ml comes by half of that at £22.5

Then the price for 100ml is £67.5

Then the value for money here is:

q = 67.5/100 = 0.675

Then the second option has the best value for money by $0.014. Being cheaper.

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Answer:

20

Step-by-step explanation:

I'm pretty sure its 20 but I could be wrong but 20 is my best guess.

Answer:

16 of the 33 plays none.

Step-by-step explanation:

From the list, we get that 18 students play football, 1 basketball, and 7 both.

What we need to do here is add up 18 and 1

then we subtract 19 by 7 to cancel out the people who play both

and then subtract the total number of 33 by 17,

which gives you 16.

Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

Answer:

Solution given:

B=12.56cm²

P=12.56cm

H=6cm

S.A. Surface area of cylinder=P*H+2B=100.48cm²

V Volume=B*H=12.56*6=75.36cm³

Father is 30 years older than the son.

After 8 years , he will be 4 times as old as his son.

their present ages

Let the son's age be x and age of father be y years

⟹ Father's age = Son's age + 30

⟹ y = x + 30 -- equation (1)

Also,

Son's age after 8 years = (x + 8) years.

Father's age after 8 years = (y + 8) years.

According to the above condition,

⟹ y + 8 = 4(x + 8)

⟹ y + 8 = 4x + 32

Substitute the value of y from equation (1).

⟹ x + 30 + 8 - 32 = 4x

⟹ 6 = 4x - x

⟹ 6 = 3x

⟹ 6/3 = x

⟹ 2 = x

Substitute the value x in equation (1).

⟹ y = 2 + 30

⟹ y = 32

Therefore,

Son's present age = x = 2 years.

Father's present age = y = 30 years.

I hope it will help you.

Regards.

Answer:

→ 11(2 + y) + 11y

→ 22 + 11y + 11y = 154

→ 22y + 22 = 154

→ 22y = 154 - 22

→ 22y = 132

→ y = 132/22

→ y = 6

Step-by-step explanation:

Answer:

its cheaper in new York by $1.60

Step-by-step explanation:

132 x 1.30 = 171.60

if the jacket is $170 in new York it is cheaper

Answer. I think is A

Step-by-step explanation:

Answer:

I think it's D1 ,

Step-by-step explanation:

2(1+1) = 4

2×1+2=4

Answer:

B

Step-by-step explanation:

The hl theorem says that if we have two right triangles that have a congruent hypotenuse and a congruent leg, the two triangles are congruent

in this case the exercise says the two leg are congruent, so we have to say that the two hypotenuse are congruent

So

JB congruent to FC

Answer:

there are 20 students in attendance on tuesday

Step-by-step explanation:

20% of 25 is twenty

Answer:

Answer:

just times the area by 6!

Step-by-step explanation:

if the surface area means area of all the faces of the cube, that means 6 areas of the same length and width! multiplying the area by 6 will result in your answer :)

Sarah's age now is 18.

Ratio is defined as the relationship between two quantities for which it tells how much one quantity is contained in the other.

Normally, the ratio of two quantities a and b is denoted as a : b.

Given in the question that,

The ratio of Sarah's age to her father's age now is 1:3.

Suppose that x is the age of Sarah now.

Then, from the information given, father's age now = 3x

After 6 years,

Sarah's age = x + 6

Father's age = 3x + 6.

Given that, In 6 years' time, the ratio becomes 2:5.

So, numerically,

(x + 6) / (3x + 6) = 2 / 5

Doing the cross multiplication, we get,

5 (x + 6) = 2 (3x + 6)

5x + 30 = 6x + 12

5x - 6x = 12 - 30

-x = -18 or x = 18

Hence now, age of Sarah is x = 18.

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Assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.

The current in the secondary coil is dependent on the voltage ratio of the primary and secondary coils. If the voltage ratio of the coils is the same as the turns ratio, then the current in the secondary coil will be identical to that in the primary coil. Therefore, assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.

The current in the secondary coil is determined by the voltage ratio of the primary and secondary coils. The voltage ratio is equal to the turns ratio, which is the ratio of the number of turns in the secondary coil to the number of turns in the primary coil. In an ideal transformer with 100% efficiency, the power output in the secondary coil will be equal to the power input in the primary coil. Since power is equal to voltage multiplied by current, and the voltage ratio is equal to the turns ratio, the current in the secondary coil will be the same as the current in the primary coil.

Therefore, assuming 100% efficiency, the current in the secondary coil will be the same as the current in the primary coil.

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The equilibrium interest rate is 10%, and the money supply should be set at $25 to increase the interest rate by 10 percentage points

The equilibrium interest rate and the corresponding money supply can be calculated based on the given money demand and money supply functions.

1. Equilibrium Interest Rate:

To find the equilibrium interest rate, we need to set the money demand equal to the money supply and solve for i.

Md = Ms

$Y(0.30 - i) = $50

Substituting the given value of $Y = $250, we have:

$250(0.30 - i) = $50

Simplifying the equation, we get:

75 - 250i = 50

-250i = 50 - 75

-250i = -25

i = -25 / -250

i = 0.1

The equilibrium interest rate is 0.1, or 10% (as a percentage).

2. Money Supply to Increase Interest Rate by 10 Percentage Points:

If the Federal Reserve wants to increase the interest rate by 10 percentage points above the equilibrium rate, we need to calculate the corresponding money supply.

New Interest Rate = Equilibrium Interest Rate + Increase in Interest Rate

New Interest Rate = 0.1 + 0.1 = 0.2

To find the new money supply, we set the new interest rate in the money demand equation and solve for Ms.

Md = Ms

$Y(0.30 - i) = Ms

$250(0.30 - 0.2) = Ms

$250(0.10) = Ms

Ms = $25

Therefore, the money supply should be set at $25 to achieve an interest rate increase of 10 percentage points above the equilibrium interest rate.

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Hi there & welcome to brainly!

Answer:

Step-by-step explanation:

Let the co-ordinates of D be ( x , y )

Let D ( x , y ) be ( x1 , y1 ) and F ( 3 , 5 ) be ( x2 , y2 )

Midpoint of DF = E ( -2 , 2 )

Now, finding the co-ordinates of D :

\(\boxed{\sf{ midpoint = (\frac{x1 + x2}{2} , \frac{y1 + y2}{2} ) }}\)

⇒ \(\sf{ ( - 2 , 2 ) = (\frac{x + 3}{2} , \frac{y + 5}{2} )}\)

Equating corresponding elements, we get :

\(\sf{-2 = \frac{x + 3}{2} }\)                                  

⇒ \(\sf{ -4 = x + 3 }\)

⇒ \(\sf{ x + 3 = -4 }\)

⇒ \(\sf{ x = -4 - 3}\)

⇒ \(\sf{x = -7 }\)

Again,

\(\sf{ 2 = \frac{y+5}{2} }\)

⇒ \(\sf{y + 5 = 4 }\)

⇒ y = 4 - 5

⇒ y = -1

Hence, The co-ordinates of D = ( -7 , -1 )

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

augmented

Step-by-step explanation:

In the field of linear algebra, the augmented matrix is defined as the matrix that is \(\text{obtained by appending}\) the given columns of any two given matrices, that is usually for the \(\text{purpose of performing the same elementary row operations on each of the given matrices. }\)

Here, each row forms an equation having a constant and the column have the  coefficients for the single variable.

Thus an augmented matrix is obtained from a system of linear equation in matrix.