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3 years ago

Solve the system of equations by substitution

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

6 0

We have y=2x and y=x+2
They both equal y, so substitute the first equation for y in the second equation.
2x=x+2
Let’s get x to one side. Let’s subtract x from both sides.
X=2
Since x=2, just plug in 2 for x.
2+2=4
So,
X=2
Y=4

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4 years ago

birth weights in norway are normally distributed with a mean of 3570 g and a standard deviation of 500g. if the hospital officia

Svetradugi [14.3K]

Answer:

2630 g

Step-by-step explanation:

From the given information:

Given that:

mean (μ) = 3750 g

Standard deviation (σ) = 500

Suppose the hospital officials demand special treatment with a percentage of lightest 3% (0.03) for newborn babies;

Then, the weight of birth that differentiates the babies that needed special treatment from those that do not can be computed as follows;

P(Z < z₁) = 0.03

Using the Excel Formula; =NORMSINV(0.03) = -1.88

z₁ = - 1.88

Using the test statistics z₁ formula:

$z_1 = \dfrac{X-\mu}{\sigma}$

$-1.88 = \dfrac{X-3570}{500}$

By cross multiply, we have:

-1.88 × 500 = X - 3570

-940 = X - 3570

-X = -3570 + 940

-X = -2630

X = 2630 g

Hence, 2630 g is the required weight of birth that differentiates the babies that needed special treatment from those that do not

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3 years ago

Multiplying a trinomial by a trinomial follows the same steps as multiplying a binomial by a trinomial. Determine the degree and

kykrilka [37]

The correct answer is:

The degree of the polynomial is 4 and the maximum number of terms is 9.

Explanation:

Multiplying the terms of each trinomial that have the largest degree, we are multiplying x²(x²); this gives us x⁴. This means the degree of the trinomial, the largest degree of all terms, is 4.

Without multiplying through, we know we will multiply each term of the first trinomial by each term of the second one. This means that, if no terms are like to combine, we could have 3(3) = 9 terms.

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3 years ago

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One pound of candies costs $3.50. How much will we have to pay for 4.5 lb?

Inessa [10]

Answer:

$15.75

Step-by-step explanation:

Multiply the cost of one pound, 3.50 times how many we want, 4.5

3.5×4.5=15.75

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3 years ago

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