A researcher measures water drawn from 52 points a city's system in order to check the claim that the average lead content in the city's water is no more than 7 micrograms per deciliter. She finds an average of 5 micrograms per deciliter. Please match each of these terms:

a. Population
b. Sample
c. Parameter
d. Statistic

1. the 52 water draws
2. 7 micrograms per deciliter
3. 5 micrograms per deciliter
4. 7/52 lead measurements

Answer:

5/8

Step-by-step explanation:

1/4=2/8

2/8+1/8=3/8

8/8-3/8=5/8

Answer:

AOE

Step-by-step explanation:

A supplementary angle equals 180 which is also a straight line.

Answer:

3x + y - 3

Step-by-step explanation:

Like Terms: In algebra, like terms are terms that have the same variables and powers.

To simplify this expression and get an expression that is eual to 5x + 3y - 2x - 2y - 3 I used like terms :

(5x - 2x) + (3y - 2y)

(5x - 2x = 3x) + (3y - 2y = 1y or y)

3x + y

Then we add the - 3 at the end giving us:

3x + y - 3

y=x+3

hope this helps!

Answer:

Step-by-step explanation:

Let's mark the sides of the big square as x and a small square as y

See attached picture below

Then we will have the sides of the rectangle:

The area of the figure is:

Correct option is D.

Answer:

16 People have 2 pieces of gum

Answer:

The situation is Multiplicative.

The equation will be [tex]y=2x[/tex]

Step-by-step explanation:

We are given the table:

Input (x)          5       8      11

Output (y)      10     16     22

Looking at the table, we see that the value of x is doubled to get value of y

Looking at the trend: 5(2) = 10

8(2) = 16

11(2) = 22

The value of x is multiplies by 2 to get value of y.

So, The situation is Multiplicative.

Now, The equation will be [tex]y=2x[/tex]

because we saw the trend, that every value of x is multiplied by 2 to get value of y.

hey sorry bout your acc D:

Step-by-step explanation:

Success of each organization is

depending upon the performance of

Select one employee

Answer:

Umm I don't think you wrote out the whole question...

Step-by-step explanation:

$18 nine hours, $9 one hour = $177

$18 eight hours, $9 two hours = $162

$18 seven hours, $9 three hours = $153

$18 six hours, $9 four hours = $144

$18 five hours, $9 five hours = $135

$18 four hours, $9 six hours = $126

$18 three hours, $9 seven hours = $117

$18 two hours, $9 eight hours = $108

$18 one hour, $9 nine hours = $99

Answer:

5

Step-by-step explanation:

Answer:

its A

Step-by-step explanation: i passed the test

Answer:

[tex]\displaystyle 40[/tex]

Step-by-step explanation:

This is an isosceles triangle, therefore you must double up DA to get 40.

I am joyous to assist you at any time.

Answer:

35+14=7(5+2) , so you have the alternative way of computing the sum.

49=7(7)

Answer:

35+14=7(5+2)

Step-by-step explanation:

Answer:

I think C but then again I could be wrong.

Answer:

p=1

Step-by-step explanation:

Answer:

[tex] \tan(30°) = \frac{12}{r} \\ \frac{1}{ \sqrt{3} } = \frac{12}{r} \\ \boxed{r = 12 \sqrt{3} }[/tex]

and,

[tex] \sin(30°) = \frac{12}{t} \\ \frac{1}{2} = \frac{12}{t} \\ \boxed{t = 24}[/tex]

Answer:

230

Step-by-step explanation:

Add the other angles for a total of 130 degrees there is a total of 360 degrees in the interior angle of a quadrilateral subtract 130 from 360.

Answer:

m< CDF = 58°

Step-by-step explanation:

Key skills needed: Congruent Triangles

1) We can use Triangle Congruence Rules to prove that Triangle EDF and Triangle CDF are congruent triangles.

2) Since both triangles have 1 right angle, they are both triangle triangles.

3) Both triangles share the same hypotenuse (DF)

Also, it gives us EF is 36, and FC is 36 --> This means that EF ≅ FC

Since both are Right Triangles, we can use Right Triangle HL Congruence to prove it

HL means Hypotenuse-Leg

This rule can only be applied to right angle triangles. In order to use this rule, a hypotenuse and a leg of the triangles need to proven congruent.

4) Since ΔEDF ≅  ΔCDF with Right triangle HL, we can say that < CDF is congruent to < EDF. These are corresponding parts of the triangle.

--> To say that < CDF is congruent to < EDF, we can use the theorem:

If Δs are ≅, then all corresponding parts are ≅.

5) Therefore, <CDF ≅ <EDF (which means the measures of the angles are the same value)

Since <EDF is 58°, <CDF would also be 58°

Hope you understood and have a nice day!! :D

Answer:

first box (x): 10

second box (y): 12

Step-by-step explanation:

HIJ is a translation of HIJ

translation just means you move the whole thing without any rotations dialations ect just moving it

from the blue shape it is asking what do you have to do to the x and y to get to the purple shape

you have to go +_x and take away _y

when you add a digit to x it moves to the right

when you add a digit to y it goes one up

because the HIJ are equaly spaced it dosnt matter which one we choose cause it will have the same answer

im going to use J

on the blue J you can see the x value is -8

the purple J's value is 5

to get from -5 to 5 you add 10

-5+5=0

0+5=5

5+5=10

therefore the first box (x) is 10

same thing for the y value im going to use J again

blue y value of J is 7

purple y value of J is -5

their distance is 12

7-7=0

0-5=-5

7+5=12

second box (y) is 12

i hope this helps

Answer: C. The solution set is x is less than -18, the circle is open; and the graph (line) moves to the left.

Step-by-step explanation:

1. x < (-4) -14 (subtract 4 from each side, then add)

2. x < -18

Answer:

Trigonometric equations are, as the name implies, equations that involve trigonometric functions. Similar in many ways to solving polynomial equations or rational equations, only specific values of the variable will be solutions, if there are solutions at all. Often we will solve a trigonometric equation over a specified interval. However, just as often, we will be asked to find all possible solutions, and as trigonometric functions are periodic, solutions are repeated within each period. In other words, trigonometric equations may have an infinite number of solutions. Additionally, like rational equations, the domain of the function must be considered before we assume that any solution is valid. The period of both the sine function and the cosine function is 2π. In other words, every 2π units, the y-values repeat. If we need to find all possible solutions, then we must add 2πk, where k is an integer, to the initial solution. Recall the rule that gives the format for stating all possible solutions for a function where the period is 2π:

sinθ=sin(θ±2kπ)

There are similar rules for indicating all possible solutions for the other trigonometric functions. Solving trigonometric equations requires the same techniques as solving algebraic equations. We read the equation from left to right, horizontally, like a sentence. We look for known patterns, factor, find common denominators, and substitute certain expressions with a variable to make solving a more straightforward process. However, with trigonometric equations, we also have the advantage of using the identities we developed in the previous sections.

Step-by-step explanation:

Trigonometric equations are, as the name implies, equations that involve trigonometric functions. Similar in many ways to solving polynomial equations or rational equations, only specific values of the variable will be solutions, if there are solutions at all. Often we will solve a trigonometric equation over a specified interval.  

Answer:

[tex]\displaystyle x=\frac{-5 \pm \sqrt{29}}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

4x² + 10x - 1 = 0

Step 2: Identify Variables

a = 4

b = 10

c = -1

Step 3: Find roots

Answer:

C

Step-by-step explanation:

Answer:

A and E

Step-by-step explanation:

Plug 5 in for m in every equation, and see if the math works.

A.

[tex]m-1=4\\5-1=4\\\\[/tex]

A - works

B.

[tex]m+4=20\\5+4=9[/tex]

B - does not work

C.

[tex]m-3=8\\5-3=2[/tex]

C - does not work

D.

[tex]22+m=25\\22+5=27[/tex]

D - does not work

E.

[tex]12=m+7\\12=5+7[/tex]

E - works

Answer:

A and E just to make it quick hope this helps

Step-by-step explanation:

Answer:

y = 2x + 5

Step-by-step explanation:

To find the slope given a table of x and y coordinates, you use the point-slope formula, which is  y2 - y1 divided by x2 - x1. It's generally easier if you find a slope that doesn't have negative numbers involved.

In this case, you take the last two sets of ordered pairs (4,13) and (2,9) and plug those into the formula.

(13-9) / (4-2)

This gives you 4 / 2, which can be reduced to 2. So that means your slope is 2. This number represents the m variable in the slope-intercept equation.

Next, take the slope-intercept equation (y=mx+b) and plug in your slope value, and use one of the ordered pairs to discover the y-intercept (value b).

In this case, we'll pick the ordered pair of (4, 13) - x=4, y=13

the equation would be: 13 = 2(4) + b

13 = 8 + b

b = 5

Now that you have the slope (m) and y-intercept (b), you can write the equation as y = 2x + 5

Hope this helps!

Answer:

Step-by-step explanation:

FYI 7 over 2 (negative) is -3.5 on that number line, and since you want go to a number greater than -3/2, which is -1.5, now that we know our decimals, 1., it makes this easier and 2, now we make our inequality and solve it. Here we just do -3.5<x, and if you need to do it on the number line start from -7/2 and then go to -3/2 and draw an arrow, and the circle has to be an O not a black dot because it isnt greater/less than OR equal to.

Answer:

The set of coefficients asociated with the given polynomial in ascending order is [tex][C] = \{4,0,5\sqrt{3}\}[/tex].

Step-by-step explanation:

Let [tex]y = 5\sqrt{3}\cdot x^{2}+4[/tex], which is a polynomic function, defined as:

[tex]y = \Sigma_{i=0}^{n}c_{i}\cdot x^{i}[/tex] (1)

Where:

[tex]c_{i}[/tex] - i-th Coefficient.

[tex]x^{i}[/tex] - i-th Power.

[tex]n[/tex] - Grade of the polynomial.

We notice that given polynomial has degree 2 and can be rewritten by applying this definition:

[tex]y = 4 + 0\cdot x + 5\sqrt{3}\cdot x^{2}[/tex]

Then, the set of coefficients asociated with the given polynomial in ascending order is:

[tex][C] = \{4,0,5\sqrt{3}\}[/tex]

Step-by-step explanation:

100% of the puzzle = 80 pieces

60% of the puzzle = 80 * (60/100) = 48 pieces.

Therefore Carlos has put 48 pieces together.