MATHEMATICS HIGH SCHOOL

There are 20 pieces of fruit in a bowl and 8 of them are apples. What percentage of the pieces of fruit in the bowl are apples?

Answers

Answer 1

Answer:

40% are apples

Step-by-step explanation:

Here, we want to calculate the percentage of the fruits in the bowl that are apples

Mathematically,

That will be = 8/20 * 100% = 40%

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Katie creates a game in which 3 dimes are flipped at the same time. 5 points are awarded if all 3 dimes land on tails, but no points are awarded for anything else. What is the probability of not getting any points? (Hint: Find the complement).

0.125
0.875
0.9875
0.5

Answers

*100% Correct answers

Question 1

A surgical technique is performed on 10 patients. You are told there is an 80% chance of success. Find the probability that the surgery is successful for exactly 6 patients.

0.088

Question 2

Sam creates a game in which the player rolls 4 dice. What is the probability in this game of having at least 2 of the dice land on 5.

0.13101963141

Question 3

Katie creates a game in which 3 dimes are flipped at the same time.

5 points are awarded if all 3 dimes land on tails, but no points are awarded for anything else. What is the probability of not getting any points? (Hint: Find the complement).

0.875

Luke and Joshua work at a dry cleaners ironing shirts. Luke can iron 35 shirts per hour, and Joshua can iron 25 shirts per hour. Luke worked 3 more hours than Joshua and they ironed 345 shirts between them. Determine the number of hours Luke worked and the number of hours Joshua worked.

Answers

It’s 48 because I worked it out on paper and got it right

Answer:

Step-by-step explanation:

I solved the problem step by step on paper and got it right

Simplify the expression

Answers

Answer:

f(x) = 5x² + 2x

g(x) = 6x - 6

Step-by-step explanation:

$(5x^3-8x^2-4x)/(6x^2-18x+12)\n\n6(x^2-3x+2)\ne0\ \iff\ x=(3\pm√(9-8))/(2)\ne0\ \iff\ x\ne2\ \wedge\ x\ne1\n\n\n(5x^3-8x^2-4x)/(6x^2-18x+12)=(x(5x^2-8x-4))/(6(x^2-3x+2))=(x(5x^2-10x+2x-4))/(6(x^2-2x-x+2))=\n\n\n=(x[5x(x-2)+2(x-2)])/(6[x(x-2)-(x-2)]) =(x(x-2)(5x+2))/(6(x-2)(x-1))=(x(5x+2))/(6(x-1))=(5x^2+2x)/(6x-6)\n\n\nf(x)=5x^2+2x\n\ng(x)=6x-6$

Mike started a savings account by depositing $9. Each month he deposits more money than the month before. At the end of 41 months, he has saved $9,389.00. How much more does he deposit each month

Answers

We have to calculate how much more money does Mike deposit each month. This can be done using the formula for the arythmetic sequence; S n = n/2 * ( a1 + an ). Here: a 1 = 9, n = 41 and a n = a 1 + ( n-1 ) d = 9 + 40 d. So : 9,389 = 41/2 * ( 9 + 9 + 40 d ); 9,389 = 41 / 2 * ( 18 + 40 d ); 9,389 = 41 * ( 9 + 20 d ) ; 9,389 = 369 + 820 d; 820 d = 9,389 - 369; 820 d = 9,020; d = 9,020 : 820; d = 11. Answer: He deposits $11 more each month.

Answer:

$11.00 or 11

same thing :)

*plug all other answer choices inside formula as d to check your answer*

Step-by-step explanation:

we need to use the arithmetic sequence formula

$S_n=(n)/(2) [2a_1+(n-1)d]\n$

$a_1=9\nn=41\nd=11 \n\nS_4_1=(41)/(2)[ (2)(4)+(41-1)(11)] \n\nS_4_1=(41)/(2) [8+(40)(11)]\n\n\S_4_1=(41)/(2) (18+440)\n\nS_4_1=(41)/(2) (458)\n\nS_4_1=20.5 (458)\n\nS_4_1=9,389$