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Anestetic [448]
4 years ago
14

Rachel had 54 homework problems . She finished 38 of them but still had 2 pages of problems to do. If each page has the same num

ber of problems on it how many problems are on each page ???

Mathematics
1 answer:
docker41 [41]4 years ago
8 0
There are 8 problems per page

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A fair die is cast four times. Calculate
Anestetic [448]

Answer:

0.1319 or 13.2%

Step-by-step explanation:

You can solve this using the binomial probability formula.

The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.

Then, we can set the equation as follows:

P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k)

n=4, x=2, k=2

when x=2  (4 2)(1/6)^2(5/6)^4-2 = 0.1157

when x=3  (4 3)(1/6)^3(5/6)^4-3 = 0.0154

when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008

Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)

4 0
3 years ago
Write an algebraic expression for the situation.
natali 33 [55]

Answer:

28/d is the answer from my side

6 0
3 years ago
Solve the inequality.<br> -1.5(4x+1) ≥ 45-25(x+1)
777dan777 [17]

Answer:

x ≥ 21.5/19

Step-by-step explanation:

-1.5(4x + 1) ≥ 45 - 25(x + 1)

-6x - 1.5 ≥ 45 - 25x - 25

-6x + 25x ≥ 45 - 25 + 1.5

19x ≥ 21.5

x ≥ 21.5/19

3 0
2 years ago
Altred is saving up money for a down payment on a house. He currently has $4739, but knows he can get a loan at a lower interest
Stella [2.4K]

Given the word problem, we can deduce the following information:

Principal amount = $4739

Future amount = $5336

Interest = 5.1 % =0.051

To determine the time to accumulate the $5336, we use the compound interest formula:

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

A=Future amount=$5336

P=Present amount=$4739

r=interest rate = 0.051

n=number of compounding periods =12

t=time in years

We also note that the number of compounding periods must be 12 since the investment is compounded monthly.

We plug in what we know:

\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ 5336=4739(1+\frac{0.051}{12})^{12t} \\ Simplify\text{ and rearrange} \\ 5336=4739(\frac{12.051}{12})^{12t} \\ 12t=\frac{\ln\frac{5336}{4739}}{\ln\frac{12.051}{12}} \\ t=\frac{\operatorname{\ln}\frac{5,336}{4,739}}{12\operatorname{\ln}\frac{12.051}{12}} \\ Calculate \\ t=2.33 \end{gathered}

Therefore, the answer is 2.33 years.

5 0
1 year ago
18-10x&lt;-22 please help me
dmitriy555 [2]
X > 4
Hope It Helps :)
7 0
3 years ago
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