Chris completed a 100-meter breaststroke swimming race in 92.542 seconds.
Michael completed the 100-meter breaststroke swimming race in 95.6 seconds.
How much faster was Chris's time than Michael's?

Answer:

10

Step-by-step explanation:

because 25%of 40 is 10

Answer:

10

Step-by-step explanation:

Answer:

corresponding

Step-by-step explanation:

<1 and <5 are corresponding angles because they are on the same side of the transversal and on the same side of l and m

Answer:

Step-by-step explanation:

Given p(A)=0.30,p(B)=0.40and p(A∩B) =0.20,then p(A/B) is expressed as shown:

p(A|B) = p(A∩B)/p(A)

p(A|B) means B is independent and A depends on B.

In your problem P(A)=0.65, P(A∩B) =0.1

Substituting the given values,

p(A|B) = 0.2/0.30

p(A|B) = 2/10 * 10/3

p(A|B) = 2/3

The equation which correctly represents the given situation as required to be determined is; Choice C; w = 5 × 15.

It follows from the task content that the equation which correctly represents the Given situation is to be determined.

Since the intention is to buy 5 tickets in which case; each ticket costs 15 dollars; we have that;

Since the total amount of dollars they have is w dollars; The equation which holds true for the situation is; w = 5 × 15.

Consequently, answer choice C; w = 5 × 15 is correct.

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The course of the airplane relative to true north is 094°, and the ground speed is 344.2 km/h.

The horizontal and vertical component of the airspeed is calculated as follows;

Vx = 300 cos(30) = 259.8 km/h

Vy = 300 x sin(30) = 150 km/h

The horizontal and vertical component of the wind velocity is calculated as follows;

Vx = 50 cos(60) = 25 km/h

Vy = 50 sin(60) = 43.3 km/h

To find the resultant velocity, we can add the x and y components separately:

Vx = 259.8 km/h  +  25 km/h = 284.8 km/h

Vy = 150 km/h  +  43.3 km/h  = 193.3 km/h

The magnitude of the resultant velocity is calculated as;

V = √(284.8² + 193.3²)

V = 344.2 km/h

The direction of the resultant velocity is calculated as;

θ = arc tan (193.3/284.8)

θ = 34.2⁰

The resultant direction to true north is calculated as;

track = 34.2 + 60 = 94.2°

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Answer:

go..ogle says he has hit about 79 homeruns

Step-by-step explanation:

Answer:

805 x 4 = 3,220

3,220 / 4 = 805

Step-by-step explanation:

Its the same thing but backwards!

Stay Safe!

Answer:

C. is the correct answer

Answer:

BC, BD, BQ, CB, CD, CQ, DB, DC, DQ, QB, QC, QD

Step-by-step explanation:

"BC, BD, BQ, CB, CD, CQ, DB, DC, DQ, QB, QC, QD" Are all the possible rays on line c.

Answer: she will receive a grade of zero if she gets one more question incorrect.

Step-by-step explanation: She gets 2 questions correct which equals 4 points and 3 questions wrong which is minus 3 points

4-3=1 so if she were to get one more incorrect she would receive a zero

Answer:

5/10

Step-by-step explanation:

To solve this problem we find equivalent fractions with the same denominator:

The LCM of 10,100 and 1000 is 1000. So we make all the denominators 1000:

5/100 = 50/1000

5/10 = 500/1000

24/1000 = 24/1000

Now we compare the numerators and see which is the largest number.

24 < 50 < 500

So 5/10 must be the greatest.

Hope this helped and brainliest please

A pentagon has five sides with equal lengths

The sum of interior angles of a pentagon is 540°

To get the measure of an interior angle you perform division

In this case divide the total sum of interior angles by the number of sides

This will be : 540° / 5 = 108°

The measure of an interior angle of a hexagon is : 108 °

The measure of the exterior angle will be ; 180° - 108° = 72°

Answer : Interior angle measure ; 108°

Exterior angle measure ; 72°

Answer:

F=

5

9

×C+32

Given C = 40

F=\frac{9}{5}\times40+32=9\times8=32F=

5

9

×40+32=9×8=32

F = 104

Step-by-step explanation:

pls mark me brainlist

Answer:

The answer is y=-1 (answer is C).

Answer:

itsa 1200 B

Step-by-step explanation:

Answer:

im guessing thats on khan so 4=4  and 8 = 2:)

Step-by-step explanation:

Answer: Both

Step-by-step explanation: Both equal y intercept

Let's assume that the corresponding side of the second triangle is \(\displaystyle\sf x\).

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

To find \(\displaystyle\sf x\), we can solve the proportion above:

\(\displaystyle\sf \left( \dfrac{x}{6.3} \right)^{2} =\dfrac{49}{81}\)

Taking the square root of both sides:

\(\displaystyle\sf \dfrac{x}{6.3} =\sqrt{\dfrac{49}{81}}\)

Simplifying the square root:

\(\displaystyle\sf \dfrac{x}{6.3} =\dfrac{7}{9}\)

Cross-multiplying:

\(\displaystyle\sf 9x = 6.3 \times 7\)

Dividing both sides by 9:

\(\displaystyle\sf x = \dfrac{6.3 \times 7}{9}\)

Calculating the value:

\(\displaystyle\sf x = 4.9\)

Therefore, the corresponding side of the second triangle is \(\displaystyle\sf 4.9 \, cm\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Step-by-step explanation:

let's assume that the corresponding side of the second triangle is .

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Therefore, we can set up the following proportion:

To find , we can solve the proportion above:

Taking the square root of both sides:

Simplifying the square root:

Cross-multiplying:

Dividing both sides by 9:

Calculating the value:

Therefore, the corresponding side of the second triangle is 4.9cm


hope it helped u dear...........

We can see here that matching the steps for constructing a congruent line segment to their pictures, we have:

Step 1 - Picture a

Step 2 - Picture b

Step 3 - Picture c

Step 4 - Picture c.

Any portion of a line with two ends and a set length is referred to as a line segment. It differs from a line that has neither a beginning nor an end and can be stretched in both directions.

The endpoints of a line segment can be used to define it. The portion of the line that begins at point A and finishes at point B, for instance, is known as the line segment AB.

A ruler or measuring tape can be used to determine the length of a line segment. The distance between two line segments' endpoints is the segment's length.

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Answer:

Step-by-step explanation:

The coefficients of variation shows that D. The grade point averages of females are more variable than males.

From the complete information, the coefficients of variation for male is 21.3% and the coefficient of variation for female is 25.1%.

In this case, the coefficients of variation shows that the grade point averages of females are more variable than males.

In conclusion, the correct option is D.

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Answer:

11.33

Step-by-step explanation:

um I'm not that good at explaining but...

33/3=11

99/3=33

put it together

11.33

According to the information we can infer that the total yardage traveled from 0 to 120 seconds is 140 yards.

To calculate the total yardage traveled we have to consider the movement of the O'Connor Panthers. In this case we have to consider that the movement in the y axis.

In this case we can conclude that the total yardage traveled was 140 yards because:

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Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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Answer:

10000010

Step-by-step explanation:

10^7 is 10000000 plus 9 plus 1^3 which is 1.

10000000+9+1=10000010

Answer:

10000010

Step-by-step explanation:

Lets break down this problem. 10^7 is equal to 10000000 because the exponent is 7 so we add 7 zeros at the end of 1. 1^3 is equal to 1 because any 1 to the power of a positive integer is 1. So, the equation becomes 10000000+9+1 which is equal to 10000010.  

Answer:

The answer is π is C.) irrational, because its decimal expansion does not repeat.

Step-by-step explanation:

Pi is an irrational number because its decimal expansion goes on for infinity so in order to use π in equations we must use an approximate value (usually 3.14).

Hope this helps,

~ Nicki ~

Answer:

Step-by-step explanation:

You should start by

log₂ 24 can be expressed as 3 + log₂ 3 in terms of prime factors, using the properties of logarithms.

To express log₂ 24 in terms of prime factors, we can use the properties of logarithms and the fact that any positive integer can be expressed as a product of prime factors.

First, let's find the prime factorization of 24.

24 can be divided by 2, so we have 24 = 2 × 12.

12 can be divided by 2, so we have 12 = 2 × 6.

6 can be divided by 2, so we have 6 = 2 × 3.

Therefore, the prime factorization of 24 is 2 × 2 × 2 × 3, or 2³ × 3.

Now, using the properties of logarithms, we can express log₂ 24 as the sum of logarithms of its prime factors.

log₂ 24 = log₂ (2³ × 3)

According to the properties of logarithms, we can separate the factors inside the logarithm as individual terms:

log₂ (2³ × 3) = log₂ 2³ + log₂ 3

Since log₂ 2³ is equal to 3, we can simplify the expression further:

log₂ (2³ × 3) = 3 + log₂ 3

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Answer:

x= 3

Step-by-step explanation:

The probabilities, using the normal distribution, are given as follows:

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

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

The parameters of the binomial distribution in this problem are given as follows:

n = 100, p = 0.495.

Hence the mean and the standard deviation for the approximation are given as follows:

Using continuity correction, the probability that exactly 50 are males in the p-value of Z when X = 50.5 subtracted by the p-value of Z when X = 49.5, hence:

X = 50.5:

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

Z = (50.5 - 49.5)/5

Z = 0.2

Z = 0.2 has a p-value of 0.5793.

X = 49.5:

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

Z = (49.5 - 49.5)/5

Z = 0

Z = 0 has a p-value of 0.5.

Hence the probability is of:

0.5793 - 0.5 = 0.0793 = 7.93%.

The probability that at least 50 are males is one subtracted by the p-value of Z when X = 49.5, hence:

1 - 0.5 = 0.5.

The probability that all 100 will be males is the subtraction of the p-value of Z when X = 100.5 subtracted by the p-value of Z when X = 99.5, hence:

X = 100.5:

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

Z = (100.5 - 49.5)/5

Z = 10.2

Z = 10.2 has a p-value of 1.

X = 99.5:

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

Z = (99.5 - 49.5)/5

Z = 10

Z = 10 has a p-value of 1.

Hence the probability is of:

1 - 1 = 0 = 0%.

The proportion of males in the US is of approximately 0.495.

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Answer:

Under the first one

Step-by-step explanation:

The expression ⁵√p¹¹ is equivalent to the given expression. The correct answer would be an option (C).

Exponential expressions, as the name indicates, involve exponents. We already know that the exponent of a number (base) specifies how many times the number (base) has been multiplied.

The exponential expression is given in the question, as follows:

\(p^\frac{11}{5}\)

We have to determine the equivalent expression to the given expression.

As per option (C), we have

⇒ ⁵√p¹¹

The above expression also can be written as:

⇒ \((p^{11})^\frac{1}{5}\)

⇒ \((p^{11})^{\times}{(\frac{1}{5})}\)

⇒ \(p^\frac{11}{5}\)

Hence, we can conclude that the expression ⁵√p¹¹ is equivalent to the given expression.

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Answer: 500.7

500.75 = 500.7

Step-by-step explanation:

The estimated value is 500

Estimating in math is a way of approximately calculating an answer (getting a 'rough answer') or to check its accuracy (the 'right answer').

Given that, 9965 divided by 19.9 estimate

Let 9965 ≈ 9970

19.9 ≈ 20

9970 ÷ 20

9970 / 20

= 498.5

≈ 500

Hence, the estimated value is 500.

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