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patriot [66]
3 years ago
10

The grocery store is selling bags of grapefruits for $4. Each bag contains 8 grapefruits. What is the price per grapefruit?

Mathematics
1 answer:
Liula [17]3 years ago
5 0
8× = 4
×/8=4/8
× = .5

each grapefruit is .5
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The table below shows all outcomes for rolling 2 dice. The bold numbers 1 through 6 show the possible results for each die. All
Leokris [45]

Part I:

1. If you have to circle each outcome in the table that at least 1 die is a 4, then you have to circle row corresponding to the number 4 and column corresponding to the number 4.

2. If you have to cross out each outcome where the sum of the dice is greater than 5, then you have to cross out all not bold numbers 6, 7, 8, 9, 10, 11 and 12 in the table.

Part II:

Here you can see 36 possible outcomes.

1. The probability that at least 1 die is a 4 is:

Pr(A)=\dfrac{11}{36} - (favorable outcomes are 4+1=5, 4+2=6, 4+3=7, 4+4=8, 4+5=9, 4+6=10, 1+4=5, 2+4=6, 3+4=7, 5+4=9, 6+4=10).

2. The probability that the sum of the dice is greater than 5 is:

Pr(B)=\dfrac{26}{36}=\dfrac{13}{18}.

3. The probability that at least 1 die is a 4 and that the sum of the dice is greater than 5 is

Pr(A\cap B)=\dfrac{9}{36}=\dfrac{1}{4}.

4. The probability that at least 1 die is a 4 or that the sum of the dice is greater than 5 is:

Pr(A\cup B)=\dfrac{28}{36}=\dfrac{7}{9}.

4 0
3 years ago
please help!!!!! what will be the balance in an account that was initially $400 and has been drawing 5.5% interest compounded co
Viktor [21]

Answer:

  $621.08

Step-by-step explanation:

The formula for the amount (A) resulting from principal P being invested at rate r continuously compounded for period t is ...

  A = Pe^(rt)

Filling in the given numbers and doing the arithmetic, we get ...

  A = $400e^(0.055·8) ≈ $621.08

4 0
3 years ago
Find the sum of all positive integers less than 100, which:
wlad13 [49]

Answer:

The sum of all positive integers less than 100, which are not divisible by 3 is 3267.

Step-by-step explanation:

The all positive integers less than 100 has sum, given by

S₁ = 1 + 2 + 3 + 4 + ......... + 99

⇒ S₁ = \frac{99 \times (99 + 1)}{2} = 4950

Now, the sum of all positive integers less than 100 which are divisible by 3 is

S₂ = 3 + 6 + 9 + 12 + 15 + ........ + 99

⇒ S₂ = 3(1 + 2 + 3 + ........ + 33)

⇒ S₂ = 3 \times \frac{33 \times (33 + 1)}{2} = 1683

Therefore, the sum of all positive integers less than 100, which are not divisible by 3 is = S₁ - S₂ = 4950 - 1683 = 3267. (Answer)

Note : The sum of n natural numbers S is given by

S = 1 + 2 + 3 + 4 + ....... + n = \frac{n \times (n + 1)}{2} .

3 0
3 years ago
The product of two rational numbers is (-28/81). If one of them is (-2/3), the find the other.
KatRina [158]

Answer:

The other rational number is \dfrac{14}{27}.

Step-by-step explanation:

First rational number is \dfrac{-2}{3}

Let other rational number is \dfrac{x}{y}

The product of two rational numbers is \dfrac{-28}{81}

According to question,

\dfrac{x}{y}\times \dfrac{-2}{3}=\dfrac{-28}{81}

Multiplying both sides by (-3/2) such that,

\dfrac{x}{y}\times \dfrac{-2}{3}\times \dfrac{-3}{2}=\dfrac{-28}{81}\times \dfrac{-3}{2}\\\\\dfrac{x}{y}=\dfrac{14}{27}

So, the other rational number is \dfrac{14}{27}.

6 0
3 years ago
Read 2 more answers
How do I solve this?
snow_lady [41]

Answer:

below the ans

Step-by-step explanation:

cos k = 5/23

= .21

5 0
2 years ago
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