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Andrej [43]
3 years ago
15

Subtract 14y + 375 from 8(2y − 1)

Mathematics
1 answer:
kodGreya [7K]3 years ago
8 0

Answer:

2y + 367

Step-by-step explanation:

8(2y - 1) - 14y + 375

16y - 8 - 14y + 375

2y + 367

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-3+2(2+x+3). What property of real numbers what do use to transition from step 2 to step 3?
Oduvanchick [21]

Answer:

2x + 7

Step-by-step explanation:

-3 + 2(2 + x + 3)

-3 + 2(5 + x)

-3 + 10 + 2x

7 + 2x

Best of Luck!

8 0
2 years ago
It rained 3/8 of a inch each day for 3 days straight how much rain fell altogether
NARA [144]
3/8 times 3/1 is 9/8 or 1 1/8 inches.
7 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:

a)

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

b)

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 <em>the t distribution is symmetric with respect to 0</em>, -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
2 years ago
Find the measure of angle b<br><br><br> your answer _____
Sunny_sXe [5.5K]

Answer:

43 degrees

Step-by-step explanation:

Angle B is 43 degrees, and is congruent to the vertically opposite angle by reason of vertical angles.

5 0
2 years ago
Read 2 more answers
Savings account A and savings account B both offer APRs of 5%, but savings account A compounds interest semiannually, while savi
Tamiku [17]

C. Savings account B because it has more compounding periods per year.

Step-by-step explanation:

Step 1:

Savings account A has an APR of 5% which compounds interest semiannually. This means that savings account A compounds twice in a year. If account A compounds 5% a time, it would compound 5(2) = 10% in a single year.

Step 2:

Savings account B also has an APR of 5% which compounds interest quarterly. This means that savings account B compounds four times in a year. If account B compounds 5% a time, it would compound 5(4) = 20% in a single year.

Step 3:

Savings account A gets an interest of 5% a year while savings account B gets an interest of 10% so account B offers a higher APR because of more compoundings in a year.

5 0
3 years ago
Read 2 more answers
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