Use Pythagorean theorem to find area. Help!! ;-;

Answer:

Step-by-step explanation:

Question 8

Let the equation of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

y = mx + b

Here, m = slope and y-intercept = b

Since, m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

For two points (1, 4) and (5, 8),

m = [tex]\frac{8-4}{5-1}[/tex]

m = 1

Equation will be,

y = (1)x + b

y = x + b

Since, this line passes through (1, 4),

4 = 1 + b

b = 3

Therefore, equation of the line will be,

y = x + 3

Question 9

Let the equation is y = mx + b

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

For two points (2, 10) and (6, 4)

m = [tex]\frac{10-4}{2-6}[/tex]

m = [tex]-\frac{3}{2}[/tex]

By substituting the value of 'm' in the equation,

y = [tex]-\frac{3}{2}x+b[/tex]

Since, this line passes through (2, 10)

10 = [tex]-\frac{3}{2}(2)+b[/tex]

b = 10 + 2

b = 12

Therefore, equation of the line will be,

[tex]y=-\frac{3}{2}x+12[/tex]

Answer:

a) 99% of the sample means will fall between 0.933 and 0.941.

b) By the Central Limit Theorem, approximately normal, with mean 0.937 and standard deviation 0.0015.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

(a) If the true mean is 0.9370 with a standard deviation of 0.0090 within what interval will 99% of the sample means fail?

Samples of 34 means that [tex]n = 34[/tex]

We have that [tex]\mu = 0.937, \sigma = 0.009[/tex]

By the Central Limit Theorem, [tex]s = \frac{0.009}{\sqrt{34}} = 0.0015[/tex]

Within what interval will 99% of the sample means fail?

Between the (100-99)/2 = 0.5th percentile and the (100+99)/2 = 99.5th percentile.

0.5th percentile:

X when Z has a pvalue of 0.005. So X when Z = -2.575.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]-2.575 = \frac{X - 0.937}{0.0015}[/tex]

[tex]X - 0.937 = -2.575*0.0015[/tex]

[tex]X = 0.933[/tex]

99.5th percentile:

X when Z has a pvalue of 0.995. So X when Z = 2.575.

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]2.575 = \frac{X - 0.937}{0.0015}[/tex]

[tex]X - 0.937 = 2.575*0.0015[/tex]

[tex]X = 0.941[/tex]

99% of the sample means will fall between 0.933 and 0.941.

(b) If the true mean 0.9370 with a standard deviation of 0.0090, what is the sampling distribution of ¯X?

By the Central Limit Theorem, approximately normal, with mean 0.937 and standard deviation 0.0015.

Answer:

A

Step-by-step explanation:

Answer:

Yo

So, if ya wanna solve this question and of course questions alike, ya gotta pay attention to the graph. mean All of these parabolic chart have the domain of R

Step-by-step explanation:

So there ya go

D=R

and now bout the range ya gotta find the vertex, which is:

[tex] x = \frac{ - b}{2a} \: \: y = \frac{Δ}{4a} [/tex]

now pay attention

X=2/–2=–1

y=–(–1)²–2(–1)+3=4

Now the highest point of your parabolic chart is 4 and the lowest point is endless which is (–♾,4]

Well, finally your answer is D

9514 1404 393

Answer:

  610 m²

Step-by-step explanation:

If we extend the horizontal line across the right-hand portion of the figure, then the figure is divided into two rectangles:

  bottom: 5 m × 50 m = 250 m²

  top: 18 m × 20 m = 360 m²

The sum of these areas is the shaded area:

  shaded area = 250 m² +360 m² = 610 m²

9514 1404 393

Answer:

  B.  h(x) = (x -4)² -1

Step-by-step explanation:

The translation moved the vertex from (0, 0) to (4, -1). The vertex form equation is ...

  h(x) = (x -h)² +k . . . . . quadratic with vertex (h, k)

Filling in the values of the vertex, we get ...

  h(x) = (x -4)² -1

m5=75 degrees

m11=75 degrees

m16=65 degrees

To find 5, realize angles 5 and 8 equal 180, because they make up a straight line, line d.

180-105=75

To find 11, it is the same as finding 7. Just look at the similar sizes. Angle 7 is the same at angle 5, just turned around. There’s a term for this pair angles that I don’t remember now but it exists. Now, lines a and b are parallel, so their angles between lines that intersect both are the same too. This means, as angle 5 equals angle 7, angle 7 equals angle 11.

To find 16, we use a combination of the methods used in finding the previous angles.

180-115=65 degrees is angle 4

Angle 4=Angle 16

Knowing the two angles given and that lines a and b are parallel, you could find the measurements of every angle in each intersection if you wanted to.

Answer:

m5=75 degrees

m11=75 degrees

m16=65 degrees

Step-by-step explanation:

Answer:

I take it that we solve for x and y, so we have

3x + y = 4, so we have y = 4 - 3x

and plug that in to

8x + 2y = 10

8x - 6x + 8 = 10

so

2x = 2

x = 1

y = 4 - 3

y = 1

Answer:

3) 35.98

4) 63.98

Step-by-step explanation:

3) [(7+7)×3.14÷2]+14=35.98

4) (7+7)×3.14+14×3=63.98

Answer:

34

=

x

+

y

34

−

x

=

y

565

=

10

x

+

25

y

Substitute the first equation

565

=

10

x

+

25

(

34

−

x

)

565

=

10

x

+

850

−

25

x

15

x

=

285

x

=

19 dimes

So,

34

−

19

=

15 quarters

Step-by-step explanation:

19 quarters is the answer.

Answer:

x=5 and x=-5

Step-by-step explanation:

1. first you would subtract 6 from both sides to set the equation = to zero.  

2. The equation would then be x^2-25=0.

3. that is a difference of two squares polynomial. So when you factor it, it is (x+5)(x-5)=0

4. by the zero product property, the roots are 5 and -5.

Answer:

Are not

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

To see what multiple y is of x, divide y by x:

  y/x = 3/1 = 3

  y/x = 5/2 = 2.5

  y/x = 6/3 = 2

The values 3, 2.5, and 2 are not all the same, so you must conclude y is not a constant multiple of x.

If the multiple is not constant, the relationship is not proportional.

6(3+2)

Step-by-step explanation:

that xas factor of 18+12

Answer:

30:)

Step-by-step explanation:

I think it's 30!!!!!

Answer:

t = time, usually in years

Step-by-step explanation:

t = time, usually in years

Answer:

T is the time

Answer:

7.5

Step-by-step explanation:

5.6+45,693u+ 2a+ = 7.5

Answer:

The sink can hold 40 quarts of water

Step-by-step explanation:

1 gal = 10 qt

10 gal = 40 qt

Answer:

40

Step-by-step explanation:

There are 4 quarts in a gallon

4 quarts per gallon x 10 gallons = 40 quarts total

Answer:

58.5

Step-by-step explanation:

9 + 33 + 16.5 = 58.5

Answer: (B) I hope that helps you

Equation of a line in standard form is Ax + By = C

A is a pos. integer and B + C are integers

1) multiply all terms in the equation by 2

2y = x - 6

2) subtract 2y from both sides

2y - 2y (cancelled out) = x - 2y - 6

x - 2y - 6 = 0

3) add 6 to both sides

x-2y = 0 +6 (-6 and +6 cancel out)

therefore,

x - 2y = 6

is the equation in standard form

Answer:

56 times

Step-by-step explanation:

An exponent are a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression (e.g. 3 in 23 = 2 × 2 × 2).

Answer:

$32 million

Step-by-step explanation:

I'm assuming the data set is in millions of dollars. Using some quick logic, the formula is revenue = (advertising)(2) + 2

Answer:

0.25

Step-by-step explanation:

Answer:

0.25 ...........................

Hi there!

[tex]\large\boxed{36 \text{ feet}}[/tex]

v = √2gh

Plug in the given velocity and acceleration due to gravity:

48 = √2(32)h

Square both sides:

2304 = 2(32)h

Simplify:

2304 = 64h

Divide both sides by 64:

h = 36 feet.

Answer:

18

Step-by-step explanation:

Answer:

m=2

b=1

Equation is y=2x+1

Answer:

From left to right:

Negative, positive, none, nonlinear

1 is negative bc it has a negative slope

2 is positive because it has a positive slope

3 has no correlation because there is no pattern

4 is no linear because it’s not in a line, essentially. (This would be a parabola)

Answer:

y=-x-5

Step-by-step explanation:

y-3=-1(x-(-8))

y-3=-1(x+8)

y-3=-1x-8

y=-1x-8+3

y=-1x-5