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4 years ago

A system of two linear equations to solve a real-world problem.

Mathematics

1 answer:

seropon [69]4 years ago

6 0

Answer:

x = 6y

x + y = 14

where x & y are the number of hours Valerie and Diana watched television respectively.

Step-by-step explanation:

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How do I solve this <br> 2(4x^3+9m+3x^2)

S_A_V [24]

2(4x³ + 9m + 3x²)
2(4x³) + 2(9m) + 2(3x²)
8x³ + 18m + 6x²

8 0

3 years ago

A test consists of 10 true or false questions. To pass the test a student must answer at least eight questions correctly. If the

forsale [732]

<h3>The probability of student passing the quiz with at least 50% of the questions correct is 0.05457.</h3>

Step-by-step explanation:

Here, the total number of T/F question = 10

The minimum answers needed correctly answered = 8

So, student needs to answer at least 8 questions correctly.

Here, the possibility of answering a question correctly = $(\frac{1}{2})$ = p = 0.5

Also, the possibility of answering a question wrong = $(\frac{1}{2})$ = q = 0.5

Now, to pass he needs to answer 8 or more ( 8 , 9 or 10) answers correctly.

P(answering 8 correct answer) = $^{10}C_8(p)^8(q)^2 = ^{10}C_8(0.5)^8(0.5)^2 = 0.0439$

P(answering 9 correct answer) = $^{10}C_9(p)^9(q)^1 = ^{10}C_9(0.5)^9(0.5)^1 = 0.0097$

P(answering 10 correct answer) = $^{10}C_{10}(p)^{10}(q)^0 = ^{10}C_{10}(0.5)^{10}(0.5)^0 = 0.00097$

So, the total Probability = P(8) + P(9) + P(10)

= (0.0439) + (0.0097) + (0.00097)

= 0.05457

Hence, the probability that the student passes the quiz with at least 8 of the questions correct is 0.05457.

6 0

4 years ago

Dilbert invests a total of $26,000 in two accounts paying 14% and 2% annual interest, respectively. How much was invested in eac

olganol [36]

Answer:

$17,000 at 14% and $9,000 at 2%

Step-by-step explanation:

Let x = amount invested at 14%.

Let y = amount invested at 2%.

x + y = 26000

0.14x + 0.02y = 2560

-0.02x - 0.02y = -520

(+) 0.14x + 0.02y = 2560

-------------------------------------

0.12x = 2040

x = 17,000

x + y = 26000

17000 + y = 26000

y = 9000

Answer: $17,000 at 14% and $9,000 at 2%

4 0

3 years ago

There are 2 grams of fat in 1 pound of chicken. there are 9 grams of fat in 4.5 pounds of chicken. How many grams of fat would b

kramer

Answer:

There will be 20 grams of fat in 10 pounds of chicken.

Step-by-step explanation:

Based of the pattern you can tell that the Grams of fat will always be double the amount of pounds.

2 grams of fat in 1 pound

9 grams in 4.5 pounds

So:

10 * 2 = Grams of fat

10 * 2 = 20 Grams of fat.

So there will be 20 grams of fat in 10 pounds of chicken.

5 0

4 years ago

Find the slope of the line going through the points (5, 2) and (0, -13).

never [62]

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (5, 2) and (0, -13). Substitute:

$m=\dfrac{-13-2}{0-5}=\dfrac{-15}{-5}=3$

<h3>Answer: slope = 3</h3>

6 0

4 years ago

Read 2 more answers