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3 years ago

Tayler claims that when a linear equation is written in general form, Ax + By+ C = 0, the

1 answer:

8 0

Ax + By + C = 0
A. 3x + 5y + 45 = 0
3x + 5(0) + 45 = 0
3x = -45
x = -45/3......x int.....-C/A
x = -15

B. To find the x intercept, u must sub in 0 for y and solve for x

C. This is not true for a horizontal line because u can't sub in 0 for x because a horizontal line never crosses the x axis and therefore, does not have an x axis.

D. y int is -C/B....u find this by subbing in 0 for x and solving for y
3x + 5y + 45 = 0
3(0) + 5y + 45 = 0
5y = -45
y = -45/5......y int = -C/B
y = -9

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Explain how to to evaluate multi-step expressions involving positive and negative decimals.

GrogVix [38]

Answer:

Hope this helps! (:

Step-by-step explanation:

By putting the numbers in the given equation,

2x + 3 + 3x = 7x + 9

5x + 3 = 7x + 9

(5x + 3) - 7x = (7x + 9) - 7x

(5x - 7x) + 3 = 9

-2x + 3 = 9

(-2x + 3) - 3 = 9 - 3

-2x = 6

-x = 3

x = -3

Therefore, our equation is correct which has a negative result.

In place of 6 if we use 8, value of x will be negative again.

7 0

2 years ago

Read 2 more answers

What is the result of converting 8 gallons to quarts? Remember, there are 4 quarts in a gallon. A.16 quarts B.4 quarts C.2 quart

Alekssandra [29.7K]

8 Gallons convert to 32 Quarts.

4 0

3 years ago

Read 2 more answers

Delta makes 12-volt car batteries. These batteries are known to be normally

blondinia [14]

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

Step(i):-

Given that the sample size n =12 -volt car batteries

Let 'X' be a Random variable in a normal distribution

Given that mean of the normal distribution = 45 months

Given that the Standard deviation of the normal distribution = 8months

Step(ii):-

Let X₁ = 3 years = 12 × 3 = 36 months

$Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125$

Let X₂ = 4 years = 12 × 4 = 48 months

$Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375$

Step(iii):-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

= P(Z≤0.375) - P(Z≤-1.125)

= 0.5 +A(0.375) - (0.5-A(1.125)

= 0.5 + 0.1480 - (0.5 -0.3708)

= 0.1480 + 0.3708

= 0.5188

Final answer:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

5 0

3 years ago

Find the surface area of the figure.

guajiro [1.7K]

Given:

Given that the radius of the cylinder is 6 m.

The height of the cylinder is 7 m.

We need to determine the surface area of the cylinder.

Surface area of the cylinder:

The surface area of the cylinder can be determined using the formula,

$SA=2 \pi r(r+h)$

where r is the radius and h is the height of the cylinder.

Substituting r = 6 and h = 7 in the above formula, we get;

$SA=2 (3.14)(6)(6+7)$

Simplifying, we get;

$SA=2 (3.14)(6)(13)$

Multiplying, we get;

$SA=489.84 \ m^2$

Thus, the surface area of the cylinder is 489.84 square meters.

Hence, Option a is the correct answer.

4 0

3 years ago

Consider the probability that greater than 94 out of 153 people will not get the flu this winter. Assume the probability that a

Hatshy [7]

Answer:

0.8212 = 82.12% probability that greater than 94 out of 153 people will not get the flu this winter.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .