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3 years ago

Find last year's salary if, after a 4% pay raise, this year's salary is $36,920.

1 answer:

7 0

Multiply .04 and $36,920... Giving you $1,476.80 as the amount for the 4% raise. Subtract the raise from this year's salary giving you $35,443.20

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Males have red blood cell counts with a mean of 4.719 and a standard deviation of .490, while females have red blood cell counts

iVinArrow [24]

Answer:

The female has a higher count relative to the sample of females than the male relative to the sample of males.

Explanation:

When you want to compare the means of two samples with different statistics you may use the z-score.

The z-score measures how far a value (data point) is from the mean, in terms of the standard deviation.

The z-score is calculated as:

$z-score=(x-\mu )}/\sigma$

Where:

$x=\text{value of the data}\\\\\mu =mean\\\\\sigma = \text{standard deviation}$

1. Male with a count of 5.58

$z-score=(5.58-4.719)/0.490=1.757$

2. Female with a count of 5.23

$z-score=(5.23-4.349)/0.402=2.192$

Therefor, the z-score of the female is greater than the z-score of the male.

The greater z-score means that, relative to her group, the female has a higher count than the male.

7 0

3 years ago

Slope intercept form of a line that has a slope of -3/4 and passes through (4, 3)

tia_tia [17]

<h3>Explanation</h3>

First Method

We have the given slope value and the coordinate point that the graph passes through.

$y = mx + b$

where m = slope and b = y-intercept. Substitute the value of slope in the equation.

$y = - \frac{3}{4} x + b$

We have the given coordinate point as well. After we substitute the slope, we substitute the coordinate point value in the equation.

$3 = - \frac{3}{4} (4) + b \\$

Solve the equation for b-term

$3 = - 3 + b \\ 3 + 3 = b \\ 6 = b$

The value of b is 6. We substitute the value of b in the equation.

$y = - \frac{3}{4} x + 6$

Second Method

We can also use the Point-Slope form to solve the question.

$y - y_1 = m(x - x_1)$

Given the y1 and x1 = the coordinate point value.

Substitute the slope and coordinate point value in the point slope form.

$y - 3 = - \frac{3}{4} (x - 4)$

Simplify/Convert into Slope-intercept

$y = - \frac{3}{4} (x - 4) + 3 \\ y = - \frac{3}{4} x + \frac{12}{4} + 3 \\ y = - \frac{3}{4} x + 3 + 3 \\y = - \frac{3}{4} x + 6$

<h3>Answer</h3>

 $\large \boxed {y = - \frac{3}{4} x + 6}$ 

6 0

3 years ago

1.905 rounded to the nearest tenth

Tema [17]

1.905 rounded to the nearest tenth is 1.9

4 0

3 years ago

Find the length of the third side. If necessary, write in simplest radical form.

Mazyrski [523]

Answer:

$\boxed {\boxed {\sf 8}}$

Step-by-step explanation:

This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.

$a^2+b^2=c^2$

Where a and b are the legs of the triangle and c is the hypotenuse.

In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:

$a= 7 \\b= \sqrt{15}$

Substitute these values into the formula.

$(7)^2+(\sqrt{15})^2=c^2$

Solve the exponents.

(7)²= 7*7=49

$49+ (\sqrt{15})^2=c^2$

(√15)²=√15*√15=15

$49+15=c^2$

Add.

$64=c^2$

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

$\sqrt{64}=\sqrt{c^2} \\\sqrt{64}= c\\8=c$