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frutty [35]
3 years ago
10

Write the following in standard form: Write A = 4 B = 2 C = 7

Mathematics
1 answer:
bonufazy [111]3 years ago
7 0

Answer:

4x + 2y = 7

Step-by-step explanation:

The standard form equation goes as follows: Ax + By = C

We know what A, B, and C is so all we need to do is fill them in.

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CAN SOMEONE HELP ME WITH REFLECTIONS??​
wel

Answer:

(5, 2 )

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

P(5, - 2 ) → P'(5, - (- 2)) → P'(5, 2 )

3 0
3 years ago
Crash testing is a highly expensive procedure to evaluate the ability of an automobile to withstand a serious accident. A simple
Veseljchak [2.6K]

Answer:

The 95% confidence interval is (-0.2451, 06912)

Step-by-step explanation:

From the question, we have;

The number of small cars in the sample of small cars, n₁ = 12

The number of small cars that were totaled, x = 8

The number of large cars in the sample of small cars, n₂ = 15

The number of large cars that were totaled, y = 5

Therefore, the proportion of small cars that were totaled, pX = x/n₁

∴ pX = 8/12 = 2/3

The proportion of large cars that were totaled, pY = y/n₁

∴ pY = 5/15 = 1/3

The 95% confidence interval for the difference pX - pY is given as follows;

pX-pY\pm z^{*}\sqrt{\dfrac{pX\left (1-pX  \right )}{n_{1}}+\dfrac{pY\left (1-pY  \right )}{n_{2}}}

\dfrac{2}{3} -\dfrac{1}{3} \pm 1.96 \times \sqrt{\dfrac{\dfrac{2}{3} \times \left (1-\dfrac{2}{3}   \right )}{12}+\dfrac{\dfrac{1}{3} \times \left (1-\dfrac{1}{3}   \right )}{15}}

Therefore, we have;

\therefore 95\% \  CI = \dfrac{1}{3} \pm 0.3578454

The 95% confidence interval, CI = (-0.2451, 06912)

6 0
2 years ago
Identify the factored form of each polynomial. 4r + 11x + 6 4x + 10x + 6 11. 4r + 14x +6 (4x+3)(x+2) :: (x+3)(4x + 2) :: (2x+3)(
Neporo4naja [7]

Answer:

1) 4x^(2)+11x+6 Factored--> (4x+3) (x+2)

2) 4x^(2)+10x+6 Factored--> (2x+3)(2x+2)

3) 4x^(2)+14x+6 Factored--> (x+3)(4x+2)

Step-by-step explanation:

Factor: 4x^(2)+11x+6 (<em>step by step)</em>

<em>1) Split the second term (11x) into two terms</em>

<em>       </em>4x^2 + 8x + 3x + 6

<em>2)Factor out common terms in the first two terms, then in the last two terms.</em>

      4x(x + 2) + 3(x + 2)

<em>3) Factor out the common term x + 2</em>

<em>      </em> (x + 2) (4x + 3)

Repeat the above steps for similar questions!

4 0
3 years ago
The weight of an adult blue whale is 9 × 104 kilograms; the weight of an elephant is 3 × 103 kilograms. How many times heavier i
kozerog [31]
To determine how many times one variable to another variable, we get the ratio of both by dividing the values. For this case, we divide the weight of whale and the weight of the elephant.

9 × 10^4 kilograms / <span>3 × 10^3 kilograms = 30 <------ OPTION 1</span>
7 0
4 years ago
Can anyone help me on the last question?
Novosadov [1.4K]

Answer:

<h2>           0.7</h2>

Step-by-step explanation:

A' is everything what is not A

So:

    A' = {9, 10, 11, 12, 13, 15, 16}

Number of ways it can happen: |A'| = 7

Total number of outcomes: |Ω| = 10

Probability of an event happening:

                                         \bold{P(A')=\dfrac{|A'|}{|\Omega|}=\dfrac7{10}=0.7}

8 0
3 years ago
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