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2 years ago

Solve each equation with the quadratic formula. x2 -7x +10= 0

Mathematics

1 answer:

zhenek [66]2 years ago

5 0

Answer: x=5, x=2

Step-by-step explanation: try symbolab for these questions...it helps out a lot.

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What are the steps to find <br> 40% of 200

denis-greek [22]

You just have to think what is 40% of 100 which is 40 then multiply 40 2 times to find out the answer four 40% of 200 when you do 40x2 it =80 so the answer is 80

8 0

2 years ago

Read 2 more answers

Find the standard deviation of the sample ($23.14, $20.12, $56.21, $34.56, $43.74)

Shkiper50 [21]

Answer:

S.D=61.824137824783

Step-by-step explanation:

6 0

3 years ago

What math problem can be made that equals 13 using all order of operations? (Parentheses exponents division addition subtraction

Anni [7]

(6+6)+(2 with a exponent of one) -1

5 0

2 years ago

You want to go to graduate school, so you ask your math professor, Dr. Emmy Noether, for a letter of recommendation. You estimat

den301095 [7]

Answer:

$P(G) = 0.69$

$P(S | G) = 0.81$

$P(M|G') = 0.26$

Step-by-step explanation:

From the question we are told the

The probability of getting into getting into graduated school if you receive a strong recommendation is $P(G |S) = 0.80$

The probability of getting into getting into graduated school if you receive a moderately good recommendation is $P(G| M) = 0.60$

The probability of getting into getting into graduated school if you receive a weak recommendation is $P(G|W) = 0.05$

The probability of getting a strong recommendation is $P(S) = 0.7$

The probability of receiving a moderately good recommendation is $P(M) = 0.2$

The probability of receiving a weak recommendation is $P(W) = 0.1$

Generally the probability that you will get into a graduate program is mathematically represented as

$P(G) = P(S) * P(G|S) + P(M) * P(G|M) + P(W) * P(G|W)$

=> $P(G) = 0.7 * 0.8 + 0.2 * 0.6 + 0.1 * 0.05$

=> $P(G) = 0.69$

Generally given that you did receive an offer to attend a graduate program, what is the probability that you received a strong recommendation is mathematically represented as

$P( S|G) = \frac{ P(S) * P(G|S)}{ P(G)}$

=> $P(S|G) = \frac{ 0.7 * 0.8 }{0.69}$

=> $P(S | G) = 0.81$

Generally given that you didn't receive an offer to attend a graduate program the probability that you received a moderately good recommendation is mathematically represented as

$P(M|G') = \frac{ P(M) * (1- P(G|M))}{(1 - P(G))}$

$P(M| G') = \frac{ 0.2 * (1- 0.6)}{ (1 - 0.69)}$

$P(M|G') = 0.26$

3 0

2 years ago

Bill is able to save $35/week after working part-time and paying his expenses. These two formulas show his weekly savings: f(1)

Umnica [9.8K]

1. We use the recursive formula to make the table of values:
f(1) = 35
f(2) = f(1) + f(2-1) = f(1) + f(1) = 35 + 35 = 70
f(3) = f(1) + f(3-1) = f(1) + f(2) = 35 + 70 = 105
f(4) = f(1) + f(4-1) = f(1) + f(3) = 35 + 105 = 140
f(5) = f(1) + f(5-1) = f(1) + f(4) = 35 + 140 = 175

2. We observe that the pattern is that for each increase of n by 1, the value of f(n) increases by 35. The explicit equation would be that f(n) = 35n. This fits with the description that Bill saves up $35 each week, thus meaning that he adds $35 to the previous week's value.

3. Therefore, the value of f(40) = 35*40 = 1400. This is easier than having to calculate each value from f(1) up to f(39) individually. The answer of 1400 means that Bill will have saved up $1400 after 40 weeks.

4. For the sequence of 5, 6, 8, 11, 15, 20, 26, 33, 41...
The first-order differences between each pair of terms is: 1, 2, 3, 4, 5, 6, 7, 8...since these differences form a linear equation, this sequence can be expressed as a quadratic equation. Since quadratics are functions (they do not have repeating values of the x-coordinate), therefore, this sequence can also be considered a function.

4 0

3 years ago