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Slav-nsk
2 months ago
10

20 boxes of apples have been delivered to a restaurant. The number of apples in each box is counted. Complete the table below an

d answer the following question. What is the mean number of apples in a box?

Mathematics
1 answer:
Leona [12.6K]2 months ago
3 0

Answer:

30 apples

Step-by-step explanation:

The cumulative total of apples is 600 (summing all figures in the apples*frequency column). Dividing this total by 20 boxes provides an average of 30 apples per box.

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A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and t
AnnZ [12381]
The water contains no larvae at temperatures of -10 degrees Celsius and 20 degrees Celsius.
6 0
1 month ago
Read 2 more answers
Let p: x=4 let q:y=-2
babunello [11817]

Question:

Let p: x = 4 Let q: y = −2 Which represents "If x = 4, then y = −2”? p ∨ q p ∧ q p → q p ↔ q

Answer:

The correct option is c: p → q

Explanation:

Option a: p ∨ q

p ∨ q indicates that either p is true, or q is true, or both hold true.

Therefore, Option a is not the right answer.

Option b: p ∧ q

p ∧ q signifies that both p and q are true.

Thus, Option b is not the correct choice.

Option c: p → q

p → q means if p is indeed true, then q must also be true.

So, Option c is the right choice.

Option d: p ↔ q

p ↔ q implies that if p holds true, then q is true, and vice versa.

Thus, Option d is not the correct option

.

Therefore, p → q is the accurate option.

6 0
1 month ago
Mr. Brown owned a house, which he rented for $60 a month. The house was assessed at $9000. In 1975 the rate of taxation was incr
AnnZ [12381]
First, we determine the percentage increase for the tax.

Initial amount = 25×9 = 225 ⇒ The 9 signifies 9 lots of thousands representing the house's value.
New amount = 28×9 = 252

Tax increase = 252 - 225 = 27  
Percentage increase = (27÷225) ×100 = 12%

Therefore, the yearly rent should rise by 12%

Monthly rent is $60
Yearly rent = 60×12 = $720
With a 12% increase = 720×1.12 = 806.4 ⇒ Here, 1.12 is the multiplier derived from 100%+12%=112%=1.12

Monthly rent becomes 806.4÷12 = $67.20, resulting in an additional $7.20 each month.
5 0
1 month ago
A frog is sitting exactly in the middle of a board that is five feet long. Every ten seconds he jumps one foot to the left or on
PIT_PIT [12445]

Answer:

Given that the frog jumps every 10 seconds

   (using digits from a random number table)

  • It requires 7 jumps with 2 in the reverse direction (either left or right) for the frog to get off the board in 60 seconds.
  • Alternatively, 3 jumps in the same direction will also lead to the frog being off the board.
  • Furthermore, it would take 5 jumps with one in the opposite direction within the time limit of 60 seconds to leave the board.

Step-by-step explanation:

A frog positioned right at the center of a 5ft long board is 2.5 ft away from either edge.

Every 10 seconds, the frog jumps left or right.

If the frog's jumps are LLRLRL, it will remain on the board at the leftmost square.

If it jumps as LLRLL, it will jump off the board after fifty seconds.

Given that the frog jumps every 10 seconds

   (using digits from a random number table)

  • It requires 7 jumps with 2 in reverse direction (either left or right) for the frog to get off the board in 60 seconds.
  • Alternatively, 3 jumps in the same direction will also lead to the frog being off the board.
  • Furthermore, it would take 5 jumps with one in the opposite direction within the time limit of 60 seconds to leave the board.
4 0
2 months ago
Yolanda invests $30,000 in an account that offers a compound interest rate of 7.9% per year. Which of the following is the corre
Zina [12379]
To find the solution, we will utilize the compound interest formula: A=P(1+ \frac{r}{n} )^{nt}
where
A represents the total amount after t years
tex]P[/tex] indicates the original investment 
r signifies the interest rate expressed in decimal
n shows the frequency of compounding per year
t indicates the duration in years

According to our problem, the initial investment is <span>$30,000 with a duration of ten years, thus </span>P=30000 and t=10. Interest is compounded annually, so n=1. To convert the percentage interest rate into decimal, we divide it by 100%
r= \frac{7.9}{100}
r=0.079
Now, we can insert these values into our formula:
A=P(1+ \frac{r}{n} )^{nt}
A=30000(1+ \frac{0.079}{1} )^{(1)(10)}
A=3000(1+0.079)^{10}
Substituting A with P_{10}:
P_{10}=3000(1+0.079)^{10}

Consequently, we find that the correct answer is D. P_{10}=3000(1+0.079)^{10}

Finally, to determine <span>the total amount Yolanda will have after ten years, we just need to carry out the operations in our equation: 
</span>P_{10}=3000(1+0.079)^{10}
P_{10}=30000(1.079)^{10}
P_{10}=64170.54

Thus, we conclude that Yolanda will end up with $64,170.54 in her account after a decade of earning <span>at a compound interest rate of 7.9% yearly.</span>
5 0
2 months ago
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