Find the coordinates of the midpoint of the segment whose endpoints are H(9,10) and K(7,6)

The appropriate symbol is greater then used for the given data will be as  \(9.2 > 9.12\)

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

The given expression will be witten as:

\(9.2 > 9.12\)

Since 9.2 is greater then 9.12 so we will use greater then sign.

Hence the appropriate symbol is greater then used for the given data will be as  \(9.2 > 9.12\)

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Answer:

what is the question

Step-by-step explanation:

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Using the angle of depression, we found that the distance between Tyle and James is 43.47 ft.

What is meant by the angle of depression?

When the observer is higher than the thing being studied, an angle of depression results. An angle is created below the horizontal line drawn with the observer's eye level and the line connecting the object and the observer's eye when an observer looks at something that is closer to them than they are. The angle of elevation, on the other hand, is the angle created when a person stands on the ground and looks up at an item that is raised above the ground at a height greater than the person's. The main distinction between the two angles is this. The notion of trigonometry is used to determine both angles.

The figure is given below,

The height h = 26.17 ft

From the right triangle, we can write,

sin 37 = 26.17/z

where z = hypotenuse

0.602 = 26.17 / z

z = 26.17 / 0.602 = 43.47 ft

Therefore using the angle of depression, we found that the distance between Tyle and James is 43.47 ft.

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Answer:

150 mm

Step-by-step explanation:

To convert centimeters (cm) to millimeters (mm), you need to multiply the measurement by 10 since there are 10 millimeters in 1 centimeter.

1 cm = 10 mm

So, to convert 15 cm to mm:

15 cm * 10 = 150 mm

Therefore, 15 centimeters is equal to 150 millimeters.

Answer:

Step-by-step explanation:

1cm=10mm

15cm=150mm

The other root of the polynomial is 1 - √3.

The roots of a polynomial are the values of the independent variable at which the polynomial is zero.

If a polynomial has integral coefficients with 3 + i and 1 + √3  as roots, then what other roots must it have? To find the roots it has, we note that the root of a polynomial with a square root in the root also has the conjugate of the square root as a root.

So, since 1 + √3, the conjugate is also a root.

The conjugate is 1 - √3.

So, the other root is 1 - √3.

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The characteristic of a binomial experiment is that the trials are independent. This means that the outcome of one trial does not affect the outcome of any other trial. Additionally, at least two outcomes are possible in a binomial experiment.

A binomial experiment is a statistical experiment that has the following characteristics: the experiment consists of a fixed number of trials, each trial has only two possible outcomes (success or failure), the trials are independent, the probability of success remains constant for each trial, and the outcome of one trial does not affect the outcome of any other trial.

The characteristic that the probability of success remains constant is known as the "fixed probability" or "fixed success rate" characteristic. This means that the probability of success is the same for each trial and does not change based on the outcome of any previous trial. This is an important characteristic of a binomial experiment, as it allows for the calculation of probabilities using simple formulas.

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Answer:

Step-by-step explanation:

sacramento

fresno

madera

bakersfield

Hope this helped!

Answer:

no it's a rational number

3 over 2 is equal to 1.5  if a number can be clearly defined as a fraction, then it is a rational number, not irrational

Answer:

Evaluate the expression below when x = 4 and y = -2 *

hii your question is incomplete

can you please recheck once

there is no expression given

Answer: 36.7

Step-by-step explanation:

you have to check all the angles then do the math, i'm jp btw i have no idea what to put for the step by step

\(\begin{array}{lcccl} &\stackrel{lbs}{Qty}&\stackrel{\$}{price}&\stackrel{total}{value}\\ \cline{2-4}&\\ \textit{1st candy}&x&0.9&0.9x\\ \textit{2nd candy}&y&0.4&0.4y\\ \cline{1-4} mix&50&0.85&42.5 \end{array}\qquad \qquad \begin{cases} x+y=50\\\\ 0.9x+0.4y=42.5 \end{cases} \\\\[-0.35em] ~\dotfill\)\(\stackrel{\textit{using the 1st equation}}{x+y=50\implies y=50-x}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{0.9x~~ + ~~0.4(50-x)~~ = ~~42.5} \\\\\\ 0.9x+20-0.4x=42.5\implies 0.5x+20=42.5\implies 0.5x=22.5 \\\\\\ x=\cfrac{22.5}{0.5}\implies \boxed{x=45}\qquad \qquad \qquad \boxed{\stackrel{50~~ - ~~45}{y=5}}\)

Answer:

x = 9

Step-by-step explanation:

Since the arc AC is congruent to arc BC, we know that side AB is also congruent to side BC.

Therefore, we can construct an equation that equates their side lengths, and then solve for x.

5x + 8 = 53

↓ subtract 8 from both sides

5x = 53 - 8

5x = 45

↓ divide both sides by 5

x = 9

The volume of the fish tank in the shape of a right circular cylinder with a radius of 3 in and a height of 10 in is 90π cubic inches.

Therefore the answer is 90π in³.

Recognize that the fish tank is in the shape of a right circular cylinder.

Remember that the formula for the volume of a cylinder is

V = πr^2h

where r is the radius and h is the height.

Plug in the given values for the radius (r = 3 inches) and the height (h = 10 inches) into the formula.

Perform the calculation:

πr^2h

= π(3^2)(10)

= π×9×10

= 90π cubic inches

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The form of the linear equation is

m is the slope

b is the y-intercept (initial value at x = 0)

Since the cost is C and the number of dances is L, then

The equation should be

We will use the given information to find m and b

Since 7 lessons cost $82 dollars, then

Substitute C by 82 and L by 7

Since 11 lessons cost $122, then

Substitute C by 122 and L by 11

Now, we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate b

Divide both sides by 4 to find m

Substitute m in equation (1) by 10 to find b

Subtract 70 from both sides to find b

The equation of the cost of L lessons is

If the number of the lessons is 4, then substitute L by 4 to find the cost

The cost of the 4 lessons is $52

11. C = 10L + 12

12. $52

The numerical probability of Flora picking out a blue sock is 1 out of 6, or approximately 0.1667, or 16.67%.

To calculate the numerical probability of Flora picking out a blue sock, we need to consider the total number of socks and the number of blue socks in the drawer.

Given:

Total number of socks = 12

Number of red socks = 9

Number of blue socks = 2

Number of green socks = 1

The probability of Flora picking a blue sock can be calculated as the ratio of the number of blue socks to the total number of socks:

Probability of picking a blue sock = Number of blue socks / Total number of socks

Probability of picking a blue sock = 2 / 12

Simplifying the fraction, we get:

Probability of picking a blue sock = 1 / 6

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Answer:

The horizontal distance of the ball from Noli when it reached maximum height is approximately 4.1 feet

Step-by-step explanation:

The horizontal distance from the hoop at which Noli threw the ball, y₀ = 7 feet

The height of the hoop = 10 feet

The height from which the ball was thrown = 6 feet

The height to which the ball is thrown = 2 × The initial horizontal distance from the hoop

∴ The height to which the ball is thrown, \(y_{max}\) = 2 × 7 feet = 14 feet

The coordinates of points on the path of the ball are;

(0, 6), (7, 10), (x, 14)

The projectile in vertex form is y = a·(x - h)² + k

Where;

(h, k) = The x, and y-coordinate of the maximum height

The y-coordinate of the maximum height reached = k = 14 feet

The x-coordinate of the maximum height = h = The horizontal distance of the ball from Noli when it reached maximum height

At y = 6, x = 0, therefore, we get;

6 = a·(0 - h)² + 14 = a·h² + 14

6 = a·h² + 14

a = -8/h²

At y = 10, x = 7, we get;

10 = a·(7 - h)² + 14 = (-8/h²)·(7 - h)² + 14

10·h² = -8·(7 - h)² + 14·h²

-4·h² =  -8·(7 - h)²

4·h² - 8·(7 - h)² = 0

-4·h² + 112·h - 392 = 0

h = (-112 ± √(112² - 4 × (-4) × (-392)))/(2 × -4)

h ≈ 4.1, or h ≈ 23.9

We reject the value, h ≈ 23.9 feet given that the distance between the where the Noli threw the ball and the hoop = 7 feet

Therefore, the horizontal distance of the ball from Noli at which the ball reached its maximum height, h ≈ 4.1 feet

Step-by-step explanation:

The fractions equivalent to 1/3 are 2/6, 3/9, 4/12, etc. Equivalent fractions have the same value in the reduced form.

ALLL these fraction are in highest form while there lowest form is 1 / 3

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Based on the given information and performing a one-sample t-test, the conclusion is that if the population mean (μ) is greater than 30.8294 km per litre, we reject the null hypothesis.

Given:

Sample mean (x') = 30 km per litre

Sample standard deviation (s) = 3.5 km per litre

Sample size (n) = 50

Significance level (α) = 0.05 (5%)

Null hypothesis \((H_0)\): The mean petrol consumption of the new car is equal to or higher than that of the existing car.

Alternative hypothesis \((H_1)\): The mean petrol consumption of the new car is lower than that of the existing car.

We'll calculate the test statistic (t-value) and compare it with the critical t-value.

The formula for the t-value is:

t = (x' - μ) / (s / √n)

where μ is the population mean (mean petrol consumption of the existing car).

First, we need to calculate the critical t-value from the t-distribution table. Since we have a significance level of 0.05 and (50 - 1) degrees of freedom, the critical t-value for a one-tailed test is approximately -1.677.

Now, let's calculate the t-value:

t = (30 - μ) / (3.5 / √50)

To reject the null hypothesis, the t-value should be less than the critical t-value.

Simplifying the equation:

t = (30 - μ) / (0.495)

To find the critical value, we compare it with the calculated t-value:

-1.677 > (30 - μ) / (0.495)

Multiplying both sides of the inequality by 0.495:

-0.8294 > 30 - μ

Rearranging the inequality:

μ > 30 + 0.8294

μ > 30.8294

Therefore, if the population mean (μ) is greater than 30.8294 km per litre, we reject the null hypothesis in favor of the alternative hypothesis, concluding that the mean petrol consumption of the new car is lower than that of the existing car.

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Answer:

Pr(only one of them will pass the driving test) = 0.38

Step-by-step explanation:

The probability that Ben will pass = 0.8

Let Pr = pribability

Pr(Ben pass) = 0.8

Pr(Ben fail) = 1 - Pr(Ben pass) = 1-0.8

Pr(Ben fail) = 0.2

The probability that Tom will pass = 0.7

Pr (Tom pass) = 0.7

Pr (Tom fail) = 1 - Pr (Tom pass) = 1-0.7

Pr (Tom fail) = 0.3

Pr(only one pass) = Pr(Ben pass and Tom fail) + Pr (Tom pass and Ben fail)

Pr(only one pass) = (0.8 × 0.3) + (0.7 × 0.2)

Pr(only one pass) = 0.24 + 0.14

Pr(only one pass) = 0.38

Answer:0.38

Step-by-step explanation:

The answer is Ax = 160, because 180 - (130 + 30) = 20 and 180 - 20 = 160. From the given triangles, we can observe that they are similar triangles. Therefore, their corresponding angles are equal. We can also observe that one of the angles of the first triangle measures 130°.The sum of angles in a triangle is always equal to 180°.The statement that is true about x is Ax = 160°.

Therefore, the sum of the other two angles in the first triangle is equal to:180° - 130° = 50°We can also observe that one of the angles of the second triangle measures 30°.Therefore, the sum of the other two angles in the second triangle is equal to:180° - 30° = 150°From the given information, we can deduce that the two triangles have two corresponding angles that are equal to each other. These angles measure 50° and 30° respectively. We need to find the measure of the third corresponding angle.The sum of the angles of a triangle is 180°. Therefore:50° + 30° + x = 180°Simplifying this equation gives:x = 180° - 80° = 100°From the triangle, we know that Ax + x = 180°Therefore:Ax + 100° = 180°Simplifying this equation gives:Ax = 180° - 100° = 80°From the given information, Ax = 180° - (130° + 30°) = 20°Adding x to both sides of the equation Ax + x = 180° gives:Ax + x = 180°20° + x = 180°Solving this equation gives:x = 160°

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The true statement about x is Ax = 160, because 180 - (130 + 30) = 20 and 180 - 20 = 160. As derived using the Exterior Angle Theorem and the given angles of the triangle.

1. Two triangles are given from which it can be observed that x is the exterior angle of a triangle with interior angles measuring 130° and 30°.

2. Therefore, using the Exterior Angle Theorem which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle, we get:

\(Exterior angle x = Interior angle 1 + Interior angle 2.\)

3. Therefore, x = 130° + 30° = 160°.

4. Based on these triangles, the true statement about x is Ax = 160,

because 180 - (130 + 30) = 20 and 180 - 20 = 160.

The correct statement about x is Ax = 160, as derived using the Exterior Angle Theorem and the given angles of the triangle.

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The cοrrect answer is a) There may οr may nοt be any causal relatiοnship between x and y.

A linear relatiοnship is a relatiοnship which can be represented by a straight line.

When twο variables have a strοng linear relatiοnship, it indicates a strοng statistical assοciatiοn οr cοrrelatiοn between them. Hοwever, cοrrelatiοn dοes nοt imply causatiοn.

It means that changes in οne variable are accοmpanied by changes in the οther, but it dοes nοt establish a cause-and-effect relatiοnship between them.

There cοuld be οther factοrs οr variables at play that are respοnsible fοr the οbserved relatiοnship.

Therefοre, οptiοn a is the cοrrect answer.

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Answer:

D

Step-by-step explanation:

Because 20000 is the power of ten and i wrote it down on paper

Answer:

C .0001

Step-by-step explanation:

if u put the numbers .0001 into the calculator then u will get the number

1 x 10^-4.

Answer:

LCM=780

Step-by-step explanation:

The least common denominator, also called lowest common denominator (LCD), of 60 and 13 is 780. Here is a math problem example where you need to know the LCD of 60 and 13 to solve: 3/60 + 2/13 = 780

The solution to the questions posed are :

Percentage = (887 / 1135) * 100

Calculating this expression gives us:

Percentage ≈ 78.06%

Percentage = (1135 / 887) * 100

Calculating this expression:

Percentage ≈ 128.02

Percentage increase = ((2001 value - 2000 value) / 2000 value) * 100

Let's calculate it:

Percentage increase = ((1135 - 887) / 887) * 100

= (248 / 887) * 100

= 0.2798 * 100

Therefore, homicide rate increased by about 28% between 2000 and 2001.

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Answer:

(0,7)

Step-by-step explanation:

Answer:

not sure but I think the answers c

The simplified expression for the area of the rectangle in square feet is 162x³y⁴z⁸.

To find the area of a rectangle, we multiply its length by its width. In this case, the width of the rectangle is 18x²yz feet and the length is 9xy³\(z^7\) feet.

Area = Width × Length

Let's substitute the given values into the formula:

Area = (18x²yz) × (9xy³\(z^7\))

To simplify the expression, we can multiply the coefficients, combine like variables, and apply the exponent rules.

Area = 18 × 9 × x² × x ×y × y³ × z × \(z^7\)

Area = 162 × x² × x × y × y³ × z × \(z^7\)

Area = 162x³y⁴z⁸

The simplified expression for the area of the rectangle in square feet is 162x³y⁴z⁸.

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Answer:

Step-by-step explanation:

The equation in point-slope form with slpope of m and including point (x₁,y₁) is:

y - y₁ = m(x - x₁)

m = 4

(3, 3)  ⇒  x₁ = 3,  y₁ = 3

So:

y - 3 = 4(x - 3)     ←   the point-slope form

y - 3 = 4x - 12         {add 3 to both sides}

y = 4x - 9           ←  the slope-intercept form

103-7 = 96 then 96/2 = 48 so we can say that Sydney is 48 and devaughn is 48+7 = 55 years old.

Therefore, Sydney is 48 years of age.

Answer:

C. 36

There are 150 cups total, and 60 blue cups

\(150/60=0.4\)

Multiply that by the number of cups he picked up

\(0.4*90=36\)