Mangoes are on sale 4 for $3. Mindy buys 14 mangoes.

nika2105 [10]

The equation x = 180 - (31 + 40) can be used. Because the angles are in a straight line ad straight line equals 180 degrees

3 0

3 years ago

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Find the slope and y-intercept of the following equation: Y = ¾ x - ½

Alina [70]

Answers:

Slope = 3/4

y intercept = -1/2

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Explanation:

The form y = mx+b is known as slope intercept form

m is the slope and b is the y intercept

Comparing y = (3/4)x - 1/2 to y = mx+b, we see that

m = 3/4

b = -1/2

3 0

3 years ago

PLS HELP!!! due to inflation nominal prices are usually there were to demand increases. After the second increase the price for

SashulF [63]

Answer:

The first increase was of 60%.

Step-by-step explanation:

The initial value of the product is x.

The first increase was of y.

The second increase is of 25%, that is, 1.25.

The final price was double the original, so 2x.

This situation can be modeled by the following equation:

$xy(1.25) = 2x$

We want to find y.

Simplifying by x

$1.25y = 2$

$y = \frac{2}{1.25}$

$y = 1.6$

After the first increase, the value was 1.6 of the original value, that is a increase as a percent of (1.6 - 1)*100 = 60%.

8 0

3 years ago

Please help me with this!!

Kaylis [27]

Answer:

C. 72

Step-by-step explanation:

So imagine every straight line you see equals to 180 degrees, so given one side of the angle...180 - 108 = 72

7 0

3 years ago

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The average American man consumes 9.8 grams of sodium each day. Suppose that the sodium consumption of American men is normally

Alex Ar [27]

Answer:

(a) The distribution of X is N (9.8, 0.8²).

(b) The probability that an American consumes between 8.8 and 9.9 grams of sodium per day is 0.4461.

(c) The middle 30% of American men consume between 9.5 grams to 10.1 grams of sodium.

Step-by-step explanation:

The random variable X is defined as the amount of sodium consumed.

The random variable X has an average value of, μ = 9.8 grams.

The standard deviation of X is, σ = 0.8 grams.

(a)

It is provided that the sodium consumption of American men is normally distributed.

The random variable X follows a normal distribution with parameters μ = 9.8 grams and σ = 0.8 grams.

Thus, the distribution of X is N (9.8, 0.8²).

(b)

If X ~ N (µ, σ²), then $Z=\frac{X-\mu}{\sigma}$ , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z ~ N (0, 1).

To compute the probability of Normal distribution it is better to first convert the raw score (X) to z-scores.

Compute the probability that an American consumes between 8.8 and 9.9 grams of sodium per day as follows:

$P(8.8$

$=P(-1.25$

Thus, the probability that an American consumes between 8.8 and 9.9 grams of sodium per day is 0.4461.

(c)

The probability representing the middle 30% of American men consuming sodium between two weights is:

$P(x_{1}$

Compute the value of z as follows:

$P(-z$

The value of z for P (Z < z) = 0.65 is 0.39.

Compute the value of x₁ and x₂ as follows:

$-z=\frac{x_{1}-\mu}{\sigma}\\-0.39=\frac{x_{1}-9.8}{0.8}\\x_{1}=9.8-(0.39\times 0.8)\\x_{1}=9.488\\x_{1}\approx9.5$ $z=\frac{x_{2}-\mu}{\sigma}\\0.39=\frac{x_{1}-9.8}{0.8}\\x_{1}=9.8+(0.39\times 0.8)\\x_{1}=10.112\\x_{1}\approx10.1$

Thus, the middle 30% of American men consume between 9.5 grams to 10.1 grams of sodium.

4 0

3 years ago