She ran 52.16 seconds per 400 meters how many seconds did it take her to run 100 meters?

In the above case, the possible point system will be:

1st choice vote: 4 points

2nd choice vote: 2 points

In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:

Lets say:

1st choice vote: 4 points

2nd choice vote: 2 points

Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.

Learn more about point system  from

https://brainly.com/question/26668636

#SPJ1

The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

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

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

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 p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

To know more about the probability visit:

https://brainly.com/question/31321667

The equation that relates the time, t, it takes to travel a given distance, d is d = rt

This is a scalar quantity and can be defined as  the magnitude of the rate of change of its position with time.

d = rt

where d is distance, r is speed or rate, t is time.

We can calculate the time by dividing the distance with the rate (speed).

t =  d/r

This is why it was chosen as the most appropriate choice.

Read more about Speed heere https://brainly.com/question/4931057

37mtaq4tuj, this is the solution to the problem:

Step 1: Weight of the bushel of apples = 48 pounds

Number of apples per bushel = 96 pounds

Step 2: Let's find the individual weight of each apple, as follows:

Individual weight = 48/96

Individual weight 0.5 pounds

Step 3: Let's convert 0.5 pounds to ounces, this way:

Let's recall that:

16 ounces = 1 pound

In consequence,

0.5 pounds = 16/2 ounces

0.5 pounds = 8 ounces

One apple weighs 8 ounces.

Step-by-step explanation:

x = 6

is a straight vertical line (parallel to the y-axis, going through x=6 on the x-axis).

it's slope is therefore undefined (infinite). every possible y value (from -infinity to +infinity) is associated with this one x value (6).

Answer:

c = 70°

Step-by-step explanation:

The sum of the angles of a triangle is always 180°.

We can use the other two to solve for c:

57 + 53 + c = 180

110 + c = 180

c = 70

Therefore, angle c is 70°.

(a)If log₄​x = 5, the base is 4 and the logarithm is 5 , then x = 1024. (b) If log₆​x = 8 the base is 6 and the logarithm is 8  then x = 1679616.

(a) In the equation log₄​x = 5, the base is 4 and the logarithm is 5. To solve for x, we need to rewrite the equation in exponential form. In exponential form, 4 raised to the power of 5 is equal to x. Therefore, x = 4^5 = 1024.

(b) In the equation log₆​x = 8, the base is 6 and the logarithm is 8. Rewriting the equation in exponential form, 6 raised to the power of 8 is equal to x. Hence, x = 6^8 = 1679616.

In both cases, we used the property of logarithms that states: if logₐ​x = y, then a raised to the power of y equals x. By applying this property, we can convert the logarithmic equations into exponential form and find the values of x.

Learn more about exponential form here:

https://brainly.com/question/29166310

#SPJ11

Answer: 93m

Step-by-step explanation:

The equation that represents the amount of soil, s in cubic centimeters the ferret can dig from the burrow in m minute is as follows:

= 93m

One of the ferrets digs 465 cubic centimeters of soil from a burrow in 5 minutes.

The digging rate can be calculated as follows;

What is rate?

A rate is a ratio between two related quantities in different units. Therefore,

rate = 465 / 5 = 93 cubic centimeters per minutes.

Answer:

The value of 9x - 5 is -41.

Step-by-step explanation:

-2x - 3 = 5

-2x = 5 + 3

-2x = 8

x = -4

9x - 5

= 9(-4) - 5

= -36 - 5

= -41

Answer:

1/2 ÷1/6=1/2×6/1

=6/2=3.

the answer is 3

even though I didn't get the question I hope it helps

Answer:

y= -×+3

Step-by-step explanation:

y=mx+b where m is the slope and b is the y intercept

Answer:

12 squares at the top

9 squares at the bottom

which means the answer is 12 by 9

Step-by-step explanation:

count the squares

Answer:

it is absolutely correct

The 90% confidence interval for the proportion of district residents in favor of starting the school day 15 minutes later is (0.392, 0.548). The true proportion is estimated to lie within this interval with 90% confidence.

To calculate the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later, we can use the following formula:

CI = p ± z*(√(p*(1-p)/n))

where:

CI: confidence interval

p: proportion of residents in favor of starting the day later

z: z- score based on the confidence level (90% in this case)

n: sample size

First, we need to calculate the sample proportion:

p = 94/200 = 0.47

Next, we need to find the z- score corresponding to the 90% confidence level. Since we want a two-tailed test, we need to find the z- score that cuts off 5% of the area in each tail of the standard normal distribution. Using a z-table, we find that the z- score is 1.645.

Substituting the values into the formula, we get:

CI = 0.47 ± 1.645*(√(0.47*(1-0.47)/200))

Simplifying this expression gives:

CI = 0.47 ± 0.078

Therefore, the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later is (0.392, 0.548). We can be 90% confident that the true proportion lies within this interval.

Learn more about the confidence interval here: brainly.com/question/24131141

#SPJ4

Answer:

\((x+5)^{2}+(y-7)^{2} =16\)

Step-by-step explanation:

The Standard Form of Circle Equation whose Center is at ( h , k) and Radius of r is given by

\((x-h)^{2}+(y-k)^{2} =r^{2}\)

So for our Question

we have ( h , k ) = ( -5 , 7 )  and r = 4

By substitution

\((x-(-5))^{2}+(y-7)^{2} =4^{2}\)

Simplify \((x+5)^{2}+(y-7)^{2} =16\)

Refer to the attachment! v

Answer:

(0, 8)

Step-by-step explanation:

The y-intercept is where the line/point crosses the y-axis, the line can cross more than once.

Based on the provided voltage readings, the polarity of the single-phase transformer can be identified as follows: the dot notation represents the primary winding, while the numerical labels indicate the corresponding terminals.

The primary and secondary windings are denoted by L1 and L2, respectively. The polarities can be determined by observing the voltage readings across various terminal combinations.

To identify the polarity of a single-phase transformer, you can analyze the voltage readings obtained from different terminal connections. In this case, let's consider the given readings.

When measuring the voltage between L1 and L2, we obtain a reading of 121 volts. This indicates the voltage across the primary and secondary windings in the same direction, suggesting a non-reversed polarity.

Next, measuring the voltage between terminals 1 and 4 while connecting terminals 2 and 3 results in a reading of 26.47 volts. This implies that terminals 1 and 4 have the same polarity, while terminals 2 and 3 have opposite polarities.

Similarly, when connecting terminals 2 and 4 and measuring the voltage between terminals 1 and 3, a reading of 7.32 volts is obtained. This indicates that terminals 1 and 3 have the same polarity, while terminals 2 and 4 have opposite polarities.

For the combination of terminals 6 and 7, a voltage reading of 25.78 volts is measured between terminals 5 and 8. This suggests that terminals 5 and 8 have the same polarity, while terminals 6 and 7 have opposite polarities.

Lastly, when connecting terminals 5 and 7 and measuring the voltage between terminals 6 and 8, a reading of 5.42 volts is obtained. This indicates that terminals 6 and 8 have the same polarity, while terminals 5 and 7 have opposite polarities.

By considering the polarity relationships observed in these readings, we can conclude that the primary and secondary windings of the single-phase transformer have the same polarity. The dot notation indicates the primary winding, and the numerical labels represent the terminals.

To learn more about voltage readings visit:

brainly.com/question/31596039

#SPJ11

Answer:

X = 60

Y = 50

Step-by-step explanation:

The total degrees of a triangle is 180 degrees. For the middle triangle, 50+70=120 so 180-120=60.

On the far right, Y=50 because you take 50 degrees from the middle triangle, and insert it there.

Answer:

729

Step-by-step explanation:

Multiply and cross cancel

Answer:

$75

Step-by-step explanation:

180÷12=15

so $15 for one pound.

15×5=75

Five pounds will be $75

The removable discontinuity of the function is x-2/(x-2)(x+4).

Given, we have the following functions:

a. x-2/(x-2)(x+4)

separate the terms:

= x-2/x-2 × 1/x+4

cancel the like terms:

= 1 × 1/x+4

hence x-2/(x-2)(x+4) has a removable discontinuity.

A point on the graph that is undefinable or does not fit the remainder of the graph is referred to as a removable discontinuity. A detachable discontinuity can be generated in one of two ways. The function can be defined to have a blip, or it can have a common factor in both the numerator and the denominator.

When the two-sided limit at c exists but isn't equal to f(c), the discontinuity at c is referred to as detachable.

Hence the from the given functions the function which have a removable discontinuity is x-2/(x-2)(x+4)

Learn more about Removable continuity here:

brainly.com/question/24637240

#SPJ1

V = π [(3(\(\sqrt{18/2}\))³/1) - (2(\(\sqrt{18/2}\))⁵/15)] - π [0]

Simplifying this expression will give us the final volume of the solid.

, we need to evaluate the triple integral:

V = ∫₀²π ∫₀ᵣ ∫(18 - 2r²) r dz dr dθ

Integrating with respect to z first, we have:

V = ∫₀²π ∫₀ᵣ (18 - 2r²) r dr dθ

Integrating the volume with respect to r, we get:

V = ∫₀²π [(9r² - 2/3r⁴)]ᵣ₀ dθ

Simplifying the expression inside the brackets and evaluating the integral, we have:

V = ∫₀²π (9r² - 2/3r⁴) dθ

V = π [(9/3)r³ - (2/15)r⁵]ᵣ₀

V = π [(3r³/1) - (2r⁵/15)]ᵣ₀

Learn more about volume here:

https://brainly.com/question/28058531

#SPJ11

Answer:

57

Step-by-step explanation:

tax

= tax percentage×amount

= 0.04×50

= 2

The tax was $2.

tip

= tip percentage×amount

= 0.10×50

= 5

Based on the information given the total cost is $57.

Using this formula

Total cost=Takeout cost+ Sales tax +Tip

Where:

Takeout cost=$50

Sales tax=(4%×$50)=$2

Tip=(10%×$50)=$5

Let plug formula

Total cost=$50+$2+$5

Total cost=$57

Inconclusion the total cost is $57.

Learn more about sales tax here:https://brainly.com/question/24314569

The marginal utility is the extra satisfaction derived from the consumption of a product.

Your information isn't well written. Therefore, an overview of utility will be given. The total utility is the total amount of satisfaction that a consumer derives from a product.

The marginal utility simply means the extra satisfaction that's gotten from a product when an additional unit is consumed.

The formula for marginal utility will be:

= Total utility difference/Quantity of goods difference

Learn more about marginal utility on:

https://brainly.com/question/24922430

DNE in each coordinate of the ordered triplet are y is -7 , DNE ,y is-2.

1.) 2+3 = y + 12

Make y the formula's subject after adding the LHS.

5 = y + 12

Y = 5 - 12

Y = - 7

The answer to the equation is -7

2.) 2 + 13 = 1 +8

The equation cannot have a solution since there is no unknown variable and the sum of the numbers on the left hand side (LHS) does not equal the sum of the numbers on the right hand side (RHS).

3.) y - 7 = 2 - 11

RHS is added, and y is become the formula's subject.

Y - 7 = -9

Y = -9 + 7

Y = -2

The equation's answer is -2.

The complete question is:Solve the following system of equations. If there is no solution, write DNE in each coordinate of theordered triplet. If there are an infinite number of solution, write each coordinate in terms of z.2+3 = y + 12

2 + 13 = 1 +8

y - 7 = 2 - 11

To learn more about DNE refer to:

https://brainly.com/question/16938197

#SPJ4

Answer:

Jenkins: 25 hours Alexanders: 20 hours

Step-by-step explanation:

To solve this problem we need to set up two equations. We know the rates of each sprinkler's output and how much total water was output. We know how many hours the sprinklers were on. We are looking for how long each sprinkler was used.

We can make a represent hours because we know the rate of sprinkler's output is per hour.

25a+40b=1425

a+b=45

Now to solve this system of equations we need to isolate a variable on one equation to plug into the other.

a+b=45

a=45-b

Now we can plug this in for a in the other equation.

25a+40b=1425

25(45-b)+40b=1425

Distribute 25 into the parenthesis.

1125-25b+40b=1425

1125+15b=1425

15b=300

b=20

Now we know that the Alexander family used their sprinklers for 20 hours. We can plug this back into the other equation to find b.

a+b=45

a+20=45

a=25

The Jenkins used the sprinklers for 25 hours, and the Alexanders used them for 20 hours.

Answer:

C, Almost fifty percent

Step-by-step explanation: I just got it right.

Answer:

b^2 + 2b <= 168

Step-by-step explanation:

The base is b.

The height, h, is 4 in. greater than twice the base, so the height is 2b + 4.

The area of a triangle is bh/2. We replace h with the expression for height.

A = bh/2 = b(2b + 4)/2 = (2b^2 + 4b)/2 = b^2 + 2b

The area is b^2 + 2b.

The area is no more than 168 in.^2, so it is less than equal to 168 in.^2.

b^2 + 2b <= 168

("<=" means "less than or equal to")

Since you don't show the choices, choose an inequality that is equivalent to the one just above.

Step-by-step explanation:

spring water is 2.08/16= 13 cents per ounce

fresh water is 2.40/20= 12.5 cents per ounce

fresh water is .5 cents per ounce less expensive