Which is true about the product of 3/8
and 7/2?

The angles of the given figure are:

∠1 = 128°

∠2 = 52°

∠3 = 47°

∠4 = ∠5  = 81°

What are corresponding angles?

The angle is supplementary(∠5)

52° + ∠5 + 47° = 180°

∠5 + 99° = 180°°

∠5  = 180° - 99°

∠5  = 81°

Then the  ∠1 and 52° are supplementary (Interior adjacent angles)

∠1 + 52° = 180°

∠1 = 180° - 52°

∠1 = 128°

Now,  ∠2

∠2 +  ∠5  + 47° = 180°

∠2 + 81° + 47° = 180°

∠2 = 180° - 128°

∠2 = 52°

Based on interior opposite angles are equal. Then

∠5 =  ∠4 and ∠3 = 47°

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Answer:

A.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

because

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Answer:

he got 80 percent correct

Answer: the awnser is 33 3/4

Step-by-step explanation: im literally doing the same test

The area of a parallelogram can be found by finding the product of its height and base. The area of  the resulting figure is 105/4 sq. ft.

A parallelogram can be defined as a quadrilateral which has equal and parallel opposite sides. The sum of the adjacent angles of a parallelogram is equal to 180° and its opposite angles are equal.

Each side of the square is given 4 1/2 ft,

And the height of each parallelogram 1 1/2 ft.

Now, the area of square is (side)^2 and the area of parallelogram is height × base.

Thus, area of given figure is given as,

Area = (4 1/2)^2 + 2×(4 1/2)×( 1 1/2)

        = 105/4 sq. ft.

Hence, the area of the given figure is 105/4 sq. ft.

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The most appropriate choice for equation of line in slope intercept form will be given by-

Required equation of line

y = x + 5

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If \(\theta\)  is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = \(tan\theta\)

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Here,

y = x + 2

Slope of this line = 1

Slope of the line parallel to this line = 1

The line passes through (-3,2)

Required Equation of line

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

Required equation of line

y = x + 5

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The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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In my Knowledge

x^4-6x^2+8=0

Answer:

I think perhaps maybe Answer D

Step-by-step explanation:

Im taking a class

Answer:

s = 4

Step-by-step explanation:

3(s + 8) = 36

Simplify the distributive property:

⇒ 3s + 24 = 36

Subtract 24 both sides:

⇒ 3s = 36 - 24

⇒ 3s = 12

Divide 3 both sides:

⇒ 3s/3 = 12/3

⇒ s = 4

Using Pythagorean theorem, AD = 9 units and AC = 25 units.

ΔABC is a right triangle.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Using Pythagorean theorem:

AB² = AD² + BD²

AD = √(AB² - BD²)

AD = √(15² - 12²)

AD = 9 units

AC = AD + CD

AC = 9 + 16 = 25 units

For ΔABC:

The hypotenuse is AC = 25.

Using  Pythagorean theorem to confirm if ΔABC a right triangle. That is:

AC² = BC² + AB²

25² = 20² + 15²

625 = 625

Since the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Therefore, ΔABC is a right triangle.

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Answer:

it is d 120

Step-by-step explanation:

Answer:

i think the answer is A 108

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

more than a number = addition

so it is D because the end result has to be 33.

Step-by-step explanation:

Hope this helped!

The vector function that represents the curve of intersection is: r(t) = [x(t), y(t), z(t)] =\([t, 4t^2, 5t^2 + 32t^4]\)

To find a vector function that represents the curve of intersection between the paraboloid and the cylinder, we need to express the coordinates (x, y, z) in terms of a parameter t.

Let's start by expressing the cylinder equation in terms of x and y:

y =  \(4x^2\):

We can rewrite this as:

y - 4x^2 = 0

Now, we'll substitute this expression for y in the equation of the paraboloid:

z =\(5x^2 + 2y^2\)

Replacing y with \(4x^2\):

\(z = 5x^2 + 2(4x^2)^2\\z = 5x^2 + 32x^4\)

Now we have the equations for x and z in terms of t:

x = t

z = 5t^2 + 32t^4

To obtain the y-coordinate, we substitute the x value into the equation of the cylinder:

y =  \(4x^2\):

y =\(4t^2\)

Therefore, the vector function that represents the curve of intersection is: r(t) = [x(t), y(t), z(t)] =\([t, 4t^2, 5t^2 + 32t^4]\)

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Answer:

$\(45\)

Step-by-step explanation:

\(30\)% \(\mathrm{of}\) $\(150\)

\(=\frac{30}{100}\times 150\\\)

\(=\) $\(45\)

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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Answer:

\(-\frac{2}{9}\)

The approximate arc length is 56.52mm.

What is an arc length?

The distance between two places along a segment of a curve is known as the arc length. Curve rectification is the process of measuring the length of an irregular arc section by simulating it with connected line segments. There are a finite number of segments in the rectification of a rectifiable curve.

Here, we have

Given: A bicycle wheel has a radius of 225 mm and has 25 equally spaced spokes.

To solve this question, we have to use the formula of the length of an arc which is given as

L = θ/360 * 2πr

To find the angle between each spoke, let's divide 360 by 25

θ = 360/25

θ = 14.4

Now that we have the value of the angle, let's substitute it and solve for the length of the arc.

L = 14.4/360 * 2(22/7)(225)

L = 56.52mm

Hence, the approximate arc length is 56.52mm.

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Two possible answers:

See the diagrams below.

============================================================

Explanation:

x = length

y = width

Let side x be parallel to the barn wall. This means we have 1 copy of x and 2 copies of y to form this partial rectangle. The fourth side is the barn itself, so we don't need this as the fencing.

The perimeter of the fencing is x+y+y = x+2y

Set this equal to the 30 meters of fencing and solve for x.

x+2y = 30

x = -2y+30

----------------

area = length*width

area = x*y

area = (-2y+30)*y

area = -2y^2+30y

Set this equal to the given area of 100 m^2 and solve for y

-2y^2+30y = 100

-2y^2+30y-100 = 0

-2(y^2-15y+50) = 0

y^2-15y+50 = 0

(y-10)(y-5) = 0

y-10 = 0 or y-5 = 0

y = 10 or y = 5

Side note: The quadratic formula is an alternative path you can take.

----------------

If y = 10, then x would be...

x = -2y+30

x = -2*10+30

x = -20+30

x = 10

This produces a 10 meter by 10 meter enclosure.

Or, if y = 5, then,

x = -2y+30

x = -2*5+30

x = -10+30

x = 20

The corral is 5 by 20 in this case.

Unfortunately there are two possible answers. Without more info, we cannot nail down which one to go with.

The diagram of each is shown below.

Answer:

D:21

Step-by-step explanation:

Use the vertical angles equation.

4x + 13 = 5x - 8

Subtract 4x from 5x.

5x - 4x = x

13 = x - 8

Add 8 on both dies.

13 + 8 = 21

x = 21

JKLM has x that equals 21.

<JKLM and <LMJK equal 97 degrees.

Hope it helped!

Answer:

The answer is D:21

Step-by-step explanation:

make sure you use the right angles in the right order when solving for your answer...

4x+13=5x-8

5x-4x=x

13=x-8

add 8 on each side

x=21

Given:

The table of point scored in 5 games.

After game 6, the mean number of points scored per game is 9.

To find:

The points scored by Maya in game 6.

Solution:

Let x be the points scored by Maya in game 6. Then sum of scores in all 6 games is:

\(Sum=8+12+10+6+14+x\)

\(Sum=50+x\)

We know that, the formula for mean is:

\(\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Total number of observations}}\)

So, the mean number of points scored per game is:

\(\text{Mean}=\dfrac{50+x}{6}\)

It is given that the mean number of points scored per game is 9.

\(\dfrac{50+x}{6}=9\)

\(50+x=9\times 6\)

\(x=54-50\)

\(x=4\)

Therefore, the correct option is A.

Answer:

2.5

Step-by-step explanation:

We Know

You buy 4 5/8 blue fabric and 2 1/8 green fabric .

4 5/8 = 37/8 = 4.625 blue fabric

2 1/8 = 17/8 = 2.125 green fabric

How much blue than green did you buy?

We Take

4.625 - 2.125 = 2.5

So, you buy 2.5 blue more than green.

Therefore , the solution of the given problem of test statistic comes out to be  C is the right response. Error in rejecting H0.

The test statistic for just an analysis degree that approaches a Z-test has been the Z-statistic, which validates the applicability of the traditional null hypothesis. Take into account performing a 2 X y exam with such a 0.05 degree of significance and calculating a 2.5 R t from your findings. 0.0124 is the p-value for the this Z-value.

Here,

The range of the true mean satisfaction ranking within the 99% confidence interval is 7.8 to 8.4. This indicates that if we were to conduct this research repeatedly, the true mean satisfaction rating would, in 99% of cases, fall between 7.8 and 8.4.

The null hypothesis, H0, states that the overall mean customer satisfaction rating for this business is 8.

We cannot rule out the null hypothesis because the confidence range contains the number 8 as a value. In other words, there isn't strong proof to suggest that the actual mean customer satisfaction rating in this store is lower or higher than 8.

Therefore, C is the right response. Error in rejecting H0.

There is insufficient proof to support the claim that the actual mean satisfaction rating of every customer in this store varies.

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Answer:

D. 5.6 ft

Step-by-step explanation:

Answer:

  5.6

Step-by-step explanation:

We assume that 7 is the measure of the portion of the secant that is inside the circle between the circle and the intersection with the other chord.

The product of segment lengths on the same chord is a constant for chords that intersect at the same point. That is, ...

  10x = 8·7

  x = 56/10

  x = 5.6

_____

Comment on the geometry

If you draw the figure to scale, you find the geometry shown is impossible. The arc measures and chord lengths are incompatible.

Answer:

296

Step-by-step explanation:

Refer to attachment.

Hope it helps.

Answer/Step-by-step explanation:

37 x 8 = (30 + 7) x 8  

= 30 x 8 + 7  x 8  

= 240 + 56

= 296

[RevyBreeze]

The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

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Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .

a. Input variables: hours worked as a cashier, payroll clerk, and assistant.

The total amount earned each week is the output variable.

b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:

Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)

c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).

d. The equation describing the total money earned each week is as follows:

(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y

This expression is simplified as follows:

y = 190 + 9x - 70 + 7x

y = 16x + 120

Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.

f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.

g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:

y = 16x + 120 + 0

y = 16x + 120

As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.

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