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Katarina [22]
3 years ago
13

tamara find the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible co

mbinations when rolling two number cubes. How many times should tamara expect the sum of the two cubes be equal to 5 if she rolls the two number cubes 144 times?
Mathematics
1 answer:
Reil [10]3 years ago
6 0

Answer:

the answer would be 20 :)

Step-by-step explanation:

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Grumpy Corp drug tests all of the recent college graduates it hires each year. The drug test currently used correctly determines
Vedmedyk [2.9K]

Answer:

Hence, the probability of a Negative test is P(T^C)=0.5904.

Step-by-step explanation:

(a)

Let D= Drug user and T= Test positive

Probability of drug users P(D)=36\%=0.36

                                    P(\frac{T}{D})=96\%=0.96

                                   P(\frac{T^c}{D^c})=90\%=0.90

(b)

Find the Probability of a Negative test,

     P(T^C)=P(\frac{T^C}{D^C})\cdot P(D^C)+P(\frac{T^C}{D})\cdot P(D)

\Rightarrow P(T^C)=0.9\cdot(1-0.36)+(1-0.96)\cdot 0.36

\Rightarrow P(T^C)=0.9\cdot 0.64+0.04\cdot 0.36

\Rightarrow P(T^C)=0.576+0.0144

\Rightarrow P(T^C)=0.5904

4 0
3 years ago
11. Jeff is taking his family and friends to the movies. Adult tickets, a, are $8 and child
bezimeni [28]

Answer:

there are 3 adults and 8 children

Step-by-step explanation:

8*3 (3=Adults)=$24

5*8 (8 children)=$40

24+40=$64

7 0
3 years ago
You have $5600. The best interest rate you can find is 3%
EleoNora [17]

Answer:

18 years

Step-by-step explanation:

The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by

A = P(1 + \frac{r}{n})^{nt}

Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03

We can rearrange the above equation to:

\frac{A}{P} = (1 + \frac{r}{n})^{nt}

Taking logs on both sides

log(\frac{A}{P}) = log(1 + \frac{r}{n})^{nt}

This gives

log(\frac{A}{P}) =nt \times log(1 + \frac{r}{n})\\So,\\nt = \frac{log(\frac{A}{P})}{ log(1 + \frac{r}{n})}

In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075

1 + r/n = 1+0.0075 = 1.0075

4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72

t = 72/4 = 18 years

4 0
2 years ago
A model car uses the scale 1:43. The actual length of a car is 17.2 feet. What is the length of the model car?
faust18 [17]
17.2/43= 0.4

Since the scale is 1:43, you would just divide the actual length by 43.

0.4:17.2 is congruent to 1:43.

43/17.2= 2.5

1/.04= 2.5

I hope this helps!
~kaikers
7 0
3 years ago
Mr. Nolan has a bank account that compounds interest
german

Answer: At the end of the day on December 8, he has a total balance of $2841.02

Step-by-step explanation:

The rate at which the compound interest adds up is a 3.7%.

His principal is $2644.08, on the 7th of December, he withdraws $550. Thus, his balance is = $2644.08 - $550 = $2094.08.

He later deposits $934, after being paid by his employer.

That is $2094.08 + $934 = $3028.08

Which is his balance at the end of the day on December 7.

Remember that the rate is daily, at a 3.7%.

A 3.7% of the balance of December 7, $3028.08 is $112.039.

In total, interest +amount = real balance,

$112.039+$3028.08 = $3140.119

He later withdraws $300 for holiday shopping = $3140.119 - 300 = $2840.119

But 1 dollar = 100 cents and vice versa.

Therefore, $2840.119 = $2841.019

In two decimal places, that is approximately $2841.02

Therefore, Mr Nolan's balance at the end of December 8 is $2841.02.

4 0
3 years ago
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