In a cross-country race with a 35 participants, the mean finish time was 21 minutes . Which statement must be true ?

Answer:

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Step-by-step explanation:

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Answer:

f(x)=156

Step-by-step explanation:

To graph y - 7 = x + 4, rewrite the equation in slope-intercept form as y = x + 11. Plot the y-intercept at (0, 11), choose another value for x to find a second point, like (1, 12), and draw the line through these points to visualize the dependence of y on x.

To graph the line given by the equation y - 7 = x + 4, we first need to write it in the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. So, we add 7 to both sides of the equation to get y = x + 11. This tells us the slope of the line is 1 (since for every increase by 1 in x, y increases by 1) and the y-intercept is 11 (this is where the line crosses the y-axis).

We can then plot the y-intercept on the graph by putting a point at (0, 11). To find another point, we can choose any value for x and solve for y. For example, if we choose x = 1, then y = 1 + 11 = 12, so another point on the line is (1, 12). By plotting these two points and drawing a line through them, we create the graph of the equation.

For more accurate results, plotting more points using various x values and connecting them would be ideal. This graphical representation illustrates the dependence of y on x.

half of 50 is 25

 25 *100 = 2500 a year

30,000 / 2500 = 12

 it will take 12 years

To construct a 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments, use the formula: Confidence interval = sample mean ± (critical value * standard deviation / square root of sample size).

To construct a 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments, we can use the formula:

Confidence interval = sample mean ± (critical value * standard deviation / square root of sample size)

Given that the sample mean after treatment with zopiclone is 98.9 minutes, the standard deviation is 42.3 minutes, and the sample size is 16, we need to find the critical value for a 98% confidence level. The critical value can be found using a t-distribution table or calculator.

Once the critical value is obtained, we can plug in the values into the formula to calculate the confidence interval estimate.

Using a system of equations, the number of chickens that are there is calculated as: 16.

Let's set up and solve the system of equations:

C + Ch = 34 (Total number of animals)

4C + 2Ch = 104 (Total number of legs)

Use a method like substitution or elimination to solve the system. Let's use elimination:

Multiply equation 1 by 2 to make the coefficients of 'Ch' in both equations the same:

2C + 2Ch = 68

Subtract equation 1 from equation 2:

(4C + 2Ch) - (2C + 2Ch) = 104 - 68

This simplifies to:

2C = 36

C = 18

Now that we know there are 18 cows, we can find the number of chickens using equation 1:

18 + Ch = 34

Subtract 18 from both sides:

Ch = 34 - 18

Ch = 16

So, there are 16 chickens on the farm.

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Answer:

15.5 kg (each)

Step-by-step explanation:

Let [tex]w[/tex] be the weight of each checked bag (there are 2). Thus, we can write, from the information given:

[tex]w+w+4=35\\2w+4=35[/tex]

Now we solve this equation for [tex]w[/tex] to find weight of each checked bag:

[tex]2w+4=35\\2w=35-4\\2w=31\\w=\frac{31}{2}\\w=15.5[/tex]

So, the weight of each of his checked bags is 15.5 kg.

- 4 1/5 = -21/5 = -42/10

-13 1/10 = -131/10

-42/10 -  -131/10=

-42/10 + 131/10 = 89/10 = 8 9/10

 answer is A

Both mass and velocity equally affect momentum in classical physics. However, at relativistic speeds, velocity has a more significant effect on momentum due to relativistic mass increase.

The impact of mass and velocity on momentum depends on the context of the object's motion. In classical physics, momentum is defined as the product of an object's mass and velocity, thus both mass and velocity equally influence momentum. However, for objects moving at relativistic speeds—approaching the speed of light—the effect of velocity on momentum is more pronounced due to the relativistic mass increase. To illustrate, a football player with greater mass has a larger impact due to having more momentum when moving at the same velocity as a player with less mass. In contrast, at relativistic speeds, an increase in velocity would result in an exponentially greater momentum, surpassing the effect of just increasing mass.

Algebraic equations are equations that contain variables that are unknown. These unknown variables are represented by any letters of the Alphabet.

it will take 5 months for Bill to weigh the same as Phil.

Let's represent the number of months they gain extra weight as: m

Step 1

Bill weighs 120 lbs and is gaining ten lbs each month. The algebraic equation for the above statement is :

120 ib  + 10 ib x m

120 + 10m ........Equation 1

Phil weighs 150 lbs and is gaining four lbs each month. The algebraic equation for the above statement is :

150 ib  + 4 ib x m

150 + 4m ........Equation 2

Step 2

We equate equations 1 and 2 to each other

Equation 1 = Equation 2

120 + 10m = 150 + 4m

Collect like terms

10m - 4m = 150 - 120

6m = 30

Divide both sides by 6

6m/6 = 30/6

m = 5

Therefore, it will take 5 months for Bill to weigh the same as Phil

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Let x represent the total weight in pounds of people and items. The inequality is x≤2500 for the elevator's weight limit.

Let's define the variable x to represent the weight in pounds of the people and items inside the elevator.

The inequality representing the situation would be:

x≤2500

This states that the weight x must be less than or equal to 2500 pounds for the elevator to safely operate within its weight capacity.

Answer: [tex]107^{\circ}[/tex]

Explanation: Here, WXYZ is a quadrilateral where, \angle WZY and \angle ZYX are right angles ⇒[tex]\angle WZY=\angle ZYX =90^{\circ}[/tex]

And, [tex]\angle XWZ= 73^{\circ}[/tex]

Since, The sum of all angles of a quadrilateral is equal to 360^{\circ}

Therefore,

[tex]\angle WXY+\angle XWZ+\angle WZY+\angle ZYX =360^{\circ}[/tex]

⇒[tex]\angle WXY+73^{\circ}+90^{\circ}+90^{\circ}=360^{\circ}[/tex]

⇒[tex]\angle WXY=360^{\circ}-253^{\circ}=107^{\circ}[/tex]

Answer:

C. [tex]107^{\circ}[/tex]

Step-by-step explanation:

We have been given an image of a right trapezoid and we are asked to find the measure of angle WXY.

We can see from our given trapezoid that angle XYZ and angle WZY measures 90 degrees.

Since we know that trapezoid is a quadrilateral and sum of all angles of a quadrilateral equals [tex]360^{\circ}[/tex], so we can set an equation as:

[tex]m\angle WXY+m\angle XYZ+m\angle YZW+m\angle ZWX=360^{\circ}[/tex]

Upon substituting the given measures of our trapezoid we will get,

[tex]m\angle WXY+90^{\circ}+90^{\circ}+73^{\circ}=360^{\circ}[/tex]

[tex]m\angle WXY+253^{\circ}=360^{\circ}[/tex]

[tex]m\angle WXY+253^{\circ}-253^{\circ}=360^{\circ}-253^{\circ}[/tex]

[tex]m\angle WXY=107^{\circ}[/tex]

Therefore, the measure of angle WXY is 107 degrees and option C is the correct choice.

Answer:

LA

Step-by-step explanation:

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