Use the properties of 30-60-90 and 45-45-90 triangles to solve for x in each of the problems below. Then decode the secret message by matching the answer with the corresponding letter/symbol from the exercises.

When a newspaper poll produces a statistic that is biased, it mean that

(b) Repeated polls would give, results that are very different from each other.

Statistical bias is anything that leads to a systematic difference between the true parameters of a population and the statistics used to estimate those parameters when people say that the newspaper poll is biased, they mean that:

(b) Responding was voluntary, and only these with access and interest would answer.

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Complete question:

When a newspaper poll produces a statistic that is biased, it means that

(a) Repeated polls would give the truth, about the population, in the same direction.

(b) Repeated polls would give results that are very different from each other.

(c) Repeated polls would give results that would not yield a normal distribution.

(d) Repeated polls would give results that are very similar to each other.

Answer:

23%

Step-by-step explanation:

There are 7 Freshman total

There are 30 students total

The probability of picking a Freshman is 7/30 or 23%

The value of x is 8√3

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

In triangle having angle 60.

sin 60 = P/ 8√2

√3/2= P/8√2

2P=8√2* √3

P= 4√6

Now again

sin 45= 4√6/x

1/√2 = 4√6/x

x= 4√6*√2

x= 8√3

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: 9w² - 13w + 10[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 9 {w}^{2} + (20 {w}^{2} - 15w + 10) + 2w[/tex]

[tex]\qquad \tt \rightarrow \: 9 {w}^{2} + 20 {w}^{2} - 15w + 10+ 2w[/tex]

[tex]\qquad \tt \rightarrow \: 9 {w}^{2} + 20 {w}^{2} - 15w +2w + 10[/tex]

[tex]\qquad \tt \rightarrow \: 29 {w}^{2} - 13w + 10[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The car start decelerating in section c of the graph.

The graph is a demonstration of curves  which gives the relationship between x and y axis.

Here, section A show the rise in speed of car over time. Meanwhile The curve is increasing curve.
B and D shows maintain level of speed means the curve is straight line and for every value of x there is only one y.

But at section C the speed of car reducing. Meanwhile, the car decelerating and the curve is of decreasing order over the time.

Thus, for section C, car is decelerating and the curve is of decreasing nature over time upto D.

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Answer:

the car is traveling at a constant speed (answer is D)

Step-by-step explanation:

im just smart like dat

Answer:

y = 2x + 8

Step-by-step explanation:

  Parallel lines have same slope.

 y = 2x - 4

Slope = 2

Point (-2 ,4)

Equation of line in point-slope form:

         y - y₁ = m(x - x₁)

        y - 4  = 2(x - [-2] )

       y - 4   = 2(x + 2)

       y -4   = 2x + 4

             y = 2x + 4 + 4

        [tex]\sf \boxed{y = 2x + 8}[/tex]

Step-by-step explanation:

First, we need to find that top angle, which we'll call angle x. We can say 26 is the hypotenuse, and 12 is the adjacent, so we know that:

[tex] \cos(x) = \frac{12}{26} [/tex]

Let's solve this, to find X:

[tex]x = { \cos }^{ - 1}( \frac{12}{26} )[/tex]

Now that we know what X is, we can use trig to find the missing side, which we'll call y. 48 is the adjacent, and y is the hypotenuse, therefore:

[tex] \cos(x) = \frac{48}{y} [/tex]

To find y, let's rearrange:

[tex]y = \frac{48}{ \cos(x) } [/tex]

And now let's figure out calculate the value of y (I'm leaving the value of X as just X for the equations, but you will need it to calculate first):

[tex]y = 0.767833242[/tex]

Answer:

51 units²

Step-by-step explanation:

First, split the polygon into two pieces so that the left side is a triangle, and the right side is a rectangle.

Then, find the area of the rectangle. Count how many units the width and the height is. The height is 7 units, and the width is 6 units. Multiply the two measurements to get the area of the rectangle.

7×6=42.

The area of the rectangle is 42.

Now, find the area of the triangle. Count how many units the width and the height is. The height is 6, the width is 3. Use the area of a triangle formula. The formula is:

1/2×b×h

1/2×3×6=3×3=9

The area of the triangle is 9.

Add the areas together to find the area of the total polygon.

42+9=51.

The area of the polygon is 51 units².

Hope this helps!

If not, I am sorry.

Answer:

Increasing: [tex](\infty, -1) \cup (2, \infty)[/tex]

Decreasing: [tex](-1, 2)[/tex]

Step-by-step explanation:

So when an equation has and odd degree, it will go in the opposite direction on both ends, so if y went towards infinity as x went towards infinity, then y would go towards negative infinity as x goes towards negative infinity. In this case, by looking at the graph it has an odd degree, due to opposite end behaviors, although on both ends it's increasing because even though it appears that it's going down on the left side, that's only if you start from the right and go towards the left. So it's really increasing from negative infinity to -1, and then it decreases from -1 to 2, until it once again starts increasing from 2 to infinity. This can be represented as (-infinity, -1) U (2, infinity) for increasing and (-1, 2) as decreasing

Answer:

a) -0.5 = -1/2

b) -2/1/4 = -2/4

c) -5/6/7 = -5/42

d) 7.2 = 72/10

Step-by-step explanation:

The true statement about this function which models the given situation is: A. the function is linear and is growing by equal differences over equal intervals.

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

By critically observing the graph which models the given situation, we can infer and logically deduce that the true statement about this function is that the function is linear and is growing by equal differences over equal intervals.

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The linear function with the same y-intercept with the graphed function is: table A.

The equation that models a linear function is, y = mx + b, where m is the slope and b is the y-intercept.

Slope of the graphed function = rise/run = - 2/1 = -2

Using one of the points on the line (x, y) = (5, 0) and the slope, m = -2, find the y-intercept (b) by substituting the values into y = mx + b:

0 = -2(5) + b

0 = -10 + b

10 = b

b = 10

The slope (m) of the graphed function is -2, and the y-intercept (b) is: 10.

Slope (m) of table A = change in y/change in x = (14 - 8)/(3 - 1) = 3

Substitute a point (x, y) = (1, 8) and slope (m) = 3 into y = mx + b to find the y-intercept (b):

8 = 3(1) + b

8 - 3 = b

5 = b

b = 5

Therefore the table with the same y-intercept as the graphed function is table A.

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Answer:

slope = m = 7/5

y-intercept = b = -3

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

y = 7/5 x - 3

slope = m = 7/5

y-intercept = b = -3

Answer:

Step-by-step explanation:

If a line's equation has the form y=mx+b, then finding the slope can be done within 2 seconds.

∴ m is the Slope,

and the slope is always multiplied by the x co-ordinate.

b is the y-intercept,

and it's added to the product of the slope and the x co-ordinate.

Both the slope and the y-intercept can be any real number.

∵, slope = [tex]\boxed{\rm{Slope=7/5}}[/tex]

∵, y-intercept = [tex]\boxed{\rm{Y-intercept=-3}}[/tex]

done !!

[tex]\orange\hspace{300pt}\above2[/tex]

Answer:

7 maybe? (I'm assuming any two neighboring digits is greater than or equal to 8)

Step-by-step explanation:

Ok so it's important to establish which combinations of numbers have a difference of 8+. The most obvious one is (0, 8), and (1, 9), but there's also (0, 9). In my explanation I'll express a three digit number as: [tex]100a+10b+c[/tex] where a, b, and c will form the three digit number. It's important to understand that: [tex]a\ne0[/tex], because if it was 0, then it would be a two digit number, because there would be no hundreds place. So let's start with the (0, 8) combination. a=8 and b=0, and c can have 2 different values. So we get the two numbers: [tex]809, 808[/tex]. Now let's using the (1, 9) which can be rearranged where (a=1, b=9) OR (a=9, b=1) since this combination doesn't have a 0 as one of the values. So let's start with a=1, b=9, this leaves 2 values for c. This gives you the numbers: [tex]190, 191[/tex]. Now let's use the a=9, b=1 combination. This only leaves 1 values for c since 8-1 = 7, meaning c can only equal 9. This gives you the following number: [tex]919[/tex]. Now for the last combination: (0, 9). In this combination a has to be 9, and b has to be 0. This gives you 2 values for c. This gives you the following two numbers: [tex]909, 908[/tex]. Combining all these numbers we get the following numbers: [tex]909, 908, 919, 809, 808, 190, 191[/tex]

The area of the screw head is 93.5m².

The area of the hexagon can be illustrated based on the formula:

A = 3✓3/2 × a²

Base = 12.

Height = 3.

Area of each triangle = 0.5 × 12 × 3 = 18

Area of the rectangle = 12 × 6 = 72

Therefore the area of the screw head will be:

= 3√3/2 × 72

= 93.5m²

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The absolute value equation with the wanted solutions is:

|x| - 1/2 = 0

Here we want to find an absolute value equation such that the solutions are:

x = -1/2 and x = 1/2.

Remember that the absolute value equation always changes the sign, such that the outcome is positive.

This means that:

|1/2| = 1/2

|-1/2| = 1/2

Then a trivial equation with these two solutions is:

|x| - 1/2 = 0

Where the two solutions are x = 1/2 and x = -1/2.

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The area of the triangle with sides of 51cm, 37cm, and 30cm, is calculated to be 496.37cm².

The area of a triangle can be computed by the formula √{s(s - a)(s - b)(s - c)}, where a, b, and c, are the three sides of the triangle, and s is the semi-perimeter of the triangle, that is, s = (a + b + c)/2.

In the question, we are asked to find the area of the triangle, whose sides are 51cm, 37cm, and 30cm.

Thus, we take a = 51cm, b = 37cm, and c = 30cm.

The perimeter of the triangle = a + b + c = 51cm + 37cm + 30cm = 118cm.

Hence, the semi-perimeter of the triangle, s = (a + b + c)/2 = 118cm/2 = 59cm.

Hence, using the formula for the area of the triangle:

√{s(s - a)(s - b)(s - c)}

= √{59(59 - 51)(59 - 37)(59 - 30)} cm²

= √{59 * 8 * 18 * 29} cm²

= √246384 cm²

= 496.37 cm².

Thus, the area of the triangle with sides of 51cm, 37cm, and 30cm, is calculated to be 496.37cm².

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[tex]\large\boxed{\frac{1}{16}}[/tex]

The answer is equal to the probability of drawing a heart multiplied by the probability of drawing a spade.

The probability of a given suit being drawn is [tex]\frac{13}{54}[/tex], which simplifies to [tex]\frac{1}{4}[/tex]. This is because there are 13 outcomes we would like out of 54 possible outcomes in total.

Multiply [tex]\frac{1}{4}[/tex] by itself (square it) to get the final answer of [tex]\frac{1}{16}[/tex].

Answer corrected. Originally said [tex]\frac{1}{8}[/tex] as the final answer. Thank you, sangers1959!

The measure of m ∠A0B is 20. Option C

m ∠BOC = 27

m ∠AOC = 47

m∠A0B = unknown

But note that the sum of m ∠BOC + m ∠A0B = m ∠AOC  

We have,

27 +  m ∠A0B = 47

m ∠A0B = 47 - 27

m ∠A0B = 20

Therefore, the measure of m ∠A0B is 20. Option C

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Answer:

I think you would have to do 2 times 7

Answer:

h = 2.5cm or 5/2 cm

Step-by-step explanation:

Vol = Basearea•h

In your question, the base is the triangle shape. The rectangles go around the sides of the 3-d shape and on top is another triangle that we can't really see. In your image it is kind of laying on its side. So if we stand it up properly, the triangles are on the top and bottom. The triangle is the base.

Volume was given; it is 35. Also given is one side of the rectangles, that is 7.

So we can fill in 35 and 7 into the volume formula and calculate the Basearea.

V = B • h

35 = B • 7

35 = 7B

Divide by 7.

5 = B.

We have calculated the Basearea. This is the area of the triangle shaped bottom. The area formula for a triangle is:

A = 1/2bh

We just found that A=5 and we were given that the base of the triangle is 4.

A = 1/2bh

5 = 1/2•4•h

5 = 2h

Divide by 2.

5/2 = h

This is the height of the triangle, h in the picture. (The h in the volume formula and h in the triangle are different)

This is what the question is asking for, h = 5/2 or in decimals, h = 2.5cm

The result of the decrease of the number 14.4 by 0.2 of it is of 14.2.

The equivalent operation is the subtraction of a by b.

In this problem, we want to decrease the number 14.4 by 0.2 of it, hence the operation is:

14.4 - 0.2 = 14.2.

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The quantity of liters of the 2% and 66% solutions should you mix together is 4.75 and 11.25 liters.

let

x + y = 16

0.02x + 0.66y = 0.47 × 16

from (1)

x = 16 - y

Substitute into (2)

0.02x + 0.66y = 0.47 × 16

0.02(16 - y) + 0.66y = 7.52

0.32 - 0.02y + 0.66y = 7.52

- 0.02y + 0.66y = 7.52 - 0.32

0.64y = 7.20

y = 7.20/0.64

y = 11.25 liters

Substitute y = 11.25 liters into (1)

x + y = 16

x + 11.25 = 16

x = 16 - 11.25

x = 4.75 liters

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Answer:

C = 100 degrees

B = 70 degrees

Step-by-step explanation:

OPPOSITE ANGLES OF A CYCLIC QUADRILATERAL ARE SUPPLEMENTARY, WHENEVER YOU ADD THEM THEY SHOULD GIVE YOU 180 DEGREES.

SOLUTION

A + C = 180

80 + C = 180

C = 100

D + B = 180

110 + B = 180

B = 70

Answer:

6

Step-by-step explanation:

To answer this simply subtract 7 from 13 to find the answer.

13-7=6

Hope this helps!

If not, I am sorry.

Answer: 6

Step-by-step explanation: i just did the work

|AC|^2 = |AB|^2 + |BC|^2  is indeed the Pythagorean theorem which implies that adding the hypotenuse square as well as the two sides of a right triangle equals the hypotenuse square.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

Calculating value by using the Pythagorean theorem:

The smallest side of the triangle in this instance contains 2 dots, which equals.

The triangle's bigger side has 3 dots.

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Answer:

the answer is A

Step-by-step explanation:

put it in the calculator

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

When you have a negative exponent like [tex](\frac{a}{b})^{-x}[/tex] you simply take the reciprocal and then the denominator takes the exponent. So it becomes [tex]\frac{b}{a^{x}}[/tex].

So now you simply plug -2 as x. This gives you [tex]2(4)^{-2}[/tex]. and 4 is essentially [tex]\frac{4}{1}[/tex]. So it becomes [tex]\frac{1}{4^2}[/tex] which is [tex]\frac{1}{16}[/tex]. So multiplying it by 2 you get [tex]\frac{2}{16}[/tex]. Which can be written as [tex]\frac{2}{8 * 2}[/tex] so the 2's cancel out and the fraction becomes [tex]\frac{1}{8}[/tex]

Answer:

The product is the difference of squares is [tex]$$\left(xy-9\right)\left(xy+9\right)={{x}^2}{{y}^2}-81$$[/tex]

Step-by-step explanation:

Explanation

[tex]$$\begin{aligned}&(x y-9)(x y+9)=(x y)^{2}-(9)^{2} \\&(x y-9)(x y+9)=x^{2} y^{2}-81\end{aligned}$$[/tex]