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2 years ago

Tees and Cops

1 answer:

3 0

If altogether they spent a total of $71, and a cap cost $5, then the price of a t-shirt is $8. Option A is correct

From the question, we are told that all caps cost $5 each

Let the cost of each shirt be x:

If Andy bought a t-shirt and a cap for each of his six friends, there will be 6 shirts and 6 caps

If Bob returned two caps and two t-shirts, there will be 4 caps and 4 shirts left

If Carl bought three t-shirts and returned a cap, the number of caps remaining will be 3 caps and the number of shirts remaining will be 7 shirts

If they spent a total of $71, this means;

3(5) + 7x = 71

15 + 7x = 71

7x = 71 - 15

7x = 56

x = 56/7

x = 8

This shows that the price of a t-shirt is $8

Learn more here: brainly.com/question/16510024

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Reflect (10,-8) over the x-axis

cricket20 [7]

Answer:

(10,8)

Step-by-step explanation:

Symmetry over x axis: you keep x, but change the sign of y value.

So, the symmetric of (10,-8) is (10,8)

3 0

3 years ago

Consider a t distribution with 7 degrees of freedom. Compute P(-1.29 < t < 1.29). Round your answer to at least three deci

ss7ja [257]

Answer:

a) 0.76197086

b) -1.73406361

Step-by-step explanation:

Consider a t distribution with 7 degrees of freedom. Compute P(-1.29 < t < 1.29)

P(-1.29 < t < 1.29) would be the area under the t distribution curve with 7 degrees of freedom between -1.29 and 1.29, that is in the interval (-1.29, 1.29).

This can be done the old style by looking up in a table or by using the technology with a spreadsheet.

In Excel, the function TDIST(x,n,2) with x>0 gives the area outside the interval (-x, x) of the t distribution with n degrees of freedom.

So TDIST(1.29,7,2) gives the area outside (-1.29, 1.29).

If we subtract this value from 1 we get the desired result

Hence

P(-1.29 < t < 1.29) = 1 - TDIST(1.29,7,2) = 1 - 0.23802914 = 0.76197086

In OpenOffice Calc, the function is the same replacing “,” with “;”

That is

P(-1.29 < t < 1.29) = 1 - TDIST(1.29;7;2) = 0.76197086

Consider a t distribution with 18 degrees of freedom. Find the value of c such that P(t≤ c) = 0.05

We are looking for a point c such that the area of the t distribution with 18 degrees of freedom to the left of c is 0.05

In Excel, the inverse function of TDIST is TINV.

TINV(p*2,n) with p>0 gives the point c such that the area of the t distribution with n degrees of freedom to the right of c is p.

Since the t distribution is symmetric with respect to 0, -c would be a point such that the area to the left of -c is p.

So we want to compute in Excel

-TINV(0.05*2,18) = -1.73406361

In OpenOffice Calc

-TINV(0.05*2;18) = -1.73406361

3 0

3 years ago

A collection of 20 coins made up of only nickels, dimes, and quarters has a total value of $3.35. If the dimes were nickels, the

Kay [80]

Answer: The required number of quarters in the collection is 11.

Step-by-step explanation: Given that a collection of 20 coins made up of only nickels, dimes and quarters has a total value of $3.35.

If the dimes were nickels, the nickels were quarters and the quarters were dimes, the collection of coins would have a total value of $2.75.

We are to find the number of quarters in the collection.

Let x, y and z represents the number of nickels, dimes and quarters respectively in the collection.

We will be using the following values of nickels, dimes and quarters in form of dollar :

1 nickel = $ 0.05, 1 dime = $ 0.10 and 1 quarter = $0.25.

Then, according to the given information, we have

$x+y+z=20\\\\\Rightarrow x=20-y-z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\0.05x+0.10y+0.25z=3.35\\\\\Rightarrow 5x+10y+25z=335\\\\\Rightarrow x+2y+5z=67~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\0.05y+0.25x+0.10z=2.75\\\\\Rightarrow 5y+25x+10z=275\\\\\Rightarrow y+2z+5x=55~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Substituting the value of x from equation (i) in equations (ii) and (iii), we have

$(20-y-z)+2y+5z=67\\\\\Rightarrow y+4z=47\\\\\Rightarrow y=47-4z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)$

and

$y+2z+5(20-y-z)=55\\\\\Rightarrow -4y-3z=-45\\\\\Rightarrow y=\dfrac{45-3z}{4}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(v)$

Comparing the values of y from equations (iv) and (v), we get

$47-4z=\dfrac{45-3z}{4}\\\\\Rightarrow 188-16z=45-3z\\\\\Rightarrow 16z-3z=188-45\\\\\Rightarrow 13z=143\\\\\Rightarrow z=\dfrac{143}{13}\\\\\Rightarrow z=11.$

Thus, the required number of quarters in the collection is 11.

7 0

3 years ago

What does the symbol in the image on number 39 mean

anastassius [24]

Answer:

It means direct sum.

Step-by-step explanation:

5 0

3 years ago

Plan 1: Plan 2: Please help!!!!!!

djyliett [7]

Answer:

plan 1: y=3x+50

plan 2: y=10x

Step-by-step explanation:

for plan 1, since she would have to pay $3 per visit and x is the visits per month, than you would calculate the total cost per visits by 3x. and since there is a starting fee of $50, the total goes up from 50 and never below, therefore 50 is the y-intercept

plan 2, its the same thing as plan 1 but instead of $3 per visit it is $10 and there is no starting fee, so no y-intercept

7 0

3 years ago

Read 2 more answers