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liberstina [14]
3 years ago
14

Instructions: Find mFG. F ? G 55°

Mathematics
1 answer:
Sladkaya [172]3 years ago
6 0

Answer:

110°

Step-by-step explanation:

mFG = 2×<FEG = 2×55 = 110°

Answered by GAUTHMATH

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Emilio bought an ant farm that had 15 ants in it already. He read somewhere that
Nina [5.8K]

The number of ants in his farm after 12 weeks is 218.

Step-by-step explanation:

Step 1:

It is given that there are 15 ants initially and the ant population increases by 25% each week.

This is an exponential rate of increase that can be modeled by the following equation:

Number of ants after n weeks = Initial number of ants * (1 + rate of increase) ^{n}

Step 2:

Rate of increase = 25% = 25 / 100 = 0.25

Number of weeks = 12

Number of ants  after 12 weeks = 15* (1 + 0.25 )^{12} = 218.27 (rounded off to 218)

Step 3:

Answer:

The number of ants in his farm after 12 weeks is 218.

6 0
3 years ago
A traveling soccer team allows only the top 3% of athletes who try out to be part of the team. If the team tryout scorecard has
skad [1K]

Answer:

169

Step-by-step explanation:

You need to use a Z-table for this.

There are different tables, in this table i searched for the probability of 97% because that equivalent to the top 3%.

for 0.97, Z = 1.88

The formula of Z is:

Z = (x-mean)/(st. dev.)

Solving x:

1.88 = (x-150)/10 \\x = 168.8 = 169

3 0
3 years ago
Read 2 more answers
X+1/3y=4 in slope intercept form EXPLAIN
skad [1K]

Answer:

Y = 12

Step-by-step explanation:

x + 1/3y = 4

Multiply both sides of the equation by 3.

3  ⋅  1 3  ⋅  y  =  3  ⋅  4

Simplify both sides of the equation:

1. Simplify both sides of the equation.

2. Multiply 3 by 4

How to simplify:

Cancel the common factor of 3

Rewrite the expression.

Multiply by 1

y  =  3  ⋅  4

Multiply 3 by 4

(12)

7 0
3 years ago
51pts! What is the factored form of this expression? 6x^2+5x-6=(_______)(______)
notsponge [240]
It should be (2x-3)x(3x+2)
4 0
3 years ago
The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of
tatuchka [14]

Answer:

The probability that the cost is kept within budget or the campaign will increase sales is 0.88

Step-by-step explanation:

The probability that the cost is kept within budget (event A) <u>or</u> the campaign will increase sales (event B) is the <u>union</u> of the probability of those two events. By basic properties of probability, this is:

P(A ∪ B) = P(A) + P (B) - P(A ∩ B)

and for independent events:

P(A ∩ B) = P(A) * P(B)

So:

P(A ∪ B) = 0.80 + 0.40 - (0.80*0.40) = 1.20 - 0.32 = 0.88

5 0
3 years ago
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