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LUCKY_DIMON [66]
3 years ago
11

Tasha believes that she can rewrite the difference 120 - 36 as a product of the GCF of the 2 numbers and another difference. Is

she correct?
Mathematics
1 answer:
Musya8 [376]3 years ago
8 0
Yes, she is correct because 120 - 36 is 84 just as 12(10 - 3) = 12 x 7 = 84.
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DUE NOW
Llana [10]

Answer:

Relative frequencies

First row

0.8125 ,0.1875 ,16

Second row

0.555 ,0.444 ,9

third row

18 , 7 ,  25

Step-by-step explanation:

Given data

               allowance        No allowance          total

Chores         13                   3                          16

<u>No chores      5                   4                           9</u>

<u>Total              18                   7                            25</u>

<u><em>Relative frequencies</em></u>

               allowance          No allowance                  total

Chores         \frac{13}{16} = 0.8125     \frac{3}{16} = 0.1875                       16

No chores      \frac{5}{9} = 0.555      \frac{4}{9} = 0.444                            9

Total  <u>            18                   7                                   25</u>

3 0
3 years ago
Harrison has $9.30 in his coin collection all in pennies and dimes the number of dimes is three times the number of pennies how
Vsevolod [243]

Answer:

Number of Pennies = 30

Number of Dimes = 90

Step-by-step explanation:

Let the number of pennies be p and number of dimes be d

We can write 2 equations and use substitution method to solve.

<u>Total value of all the coins is 9.30:</u>

We can write:

0.01p + 0.1d = 9.30

Note: value of penny is 0.01 and dime is 0.1, in dollars

<u>Number of dimes is 3 times number of pennies:</u>

We can write:

d = 3p

Now putting 2nd equation in first and solving for p:

0.01p + 0.1(3p) = 9.30

0.01p + 0.3p = 9.30

0.31 p = 9.30

p = 9.30 /0.31

p = 30

Now we know d = 3p, so d = 3 (30) = 90

Hence

Number of Pennies = 30

Number of Dimes = 90

5 0
3 years ago
Julia and Rodney decided to invest 15% of their salaries.The table shows their principal balance,interest rate,and type of inter
Masja [62]
On the account with interest compounded annually, the account balance will be
  P*(1 +r)^t
  4500*1.06³ = 5358.57
so the interest earned will be
  5358.57 -4500 = 859.57

On the account with simple interest, the interest earned will be
  I = Prt
  I = 4500*.06*3
  I = 810.00

The total interest earned on the two accounts will be
  $859.57 +810.00 = $1669.57 . . . . . . . . selection A
6 0
3 years ago
To illustrate the effects of driving under the influence of alcohol, a police officer brought a DUI simulator to a local high sc
nexus9112 [7]

Answer:

Check the explanation

Step-by-step explanation:

Here we have to first of all carry out dependent sample t test. consequently wore goggles first was selected at random for the reason that the reaction time in an emergency taken with goggles would be greater than the amount of reaction time in an emergency taken with not so weakened vision. So that we will get the positive differences d = impaired - normal

b)

To find 95% confidence interval first we need to find sample mean and sample sd for difference d = impaired minus normal.

We can find it using excel that is in the first attached image below,

Therefore sample mean ( \bar{X}_{d} ) = 0.98

Sample sd ( \bar{S}_{d} ) = 0.3788

To find 95% Confidence interval we can use TI-84 calculator,

Press STAT ----> Scroll to TESTS ---- > Scroll down to 8: T Interval and hit enter.

Kindly check the attached image below.

Therefore we are 95% confident that mean difference in braking time with impaired vision and normal vision is between ( 0.6888 , 1.2712)

Conclusion : As both values in the interval are greater than 0 , mean difference impaired minus normal is not equal to 0

There is significant evidence that  there is a difference in braking time with impaired vision and normal vision at 95% confidence level .

7 0
2 years ago
Complete the missing value in the solution to the equation −4x−y=24
Vedmedyk [2.9K]

Answer:

-4x-y=24= - 4 · (-7) - 4 = 24

 

6 0
3 years ago
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