Jim and Henry have played 41 tennis matches.
Jim has won 23 times.
Henry won the rest.
a) Estimate the probability that Jim wins.
b) Estimate the probability that Henry wins.

Answer:

At a package weight of 8 kilograms, the two couriers both cost $37

Step-by-step explanation:

Let's say the package weighs w kg.

First courier: 13 + 3 per kg = 13 + 3 for each w = 13 + 3w

Second courier: 5 + 4w

They are equal in cost, so

13 + 3w = 5 + 4w

subtract 3w from both sides to put all the variables on one isde

13 = 5 + w

subtract 8 from both sides to solve for w

w = 8

plug w=8 into one side of the original equation to solve for cost

13 + 3w = 5 + 4w = 37

Answer:

1 + 1x or (1 + x)

Step-by-step explanation:

The product of one and a number xxx can be written as xxx.Hint #22 / 3"Sum" means that we add 111 and xxx.Hint #33 / 3If we add 111 and xxx, we have 1+x1+x1, plus, x.

The required xxx can be decoded as 1+x.

XXX to be decoded from the statement "The sum of one and the product of one and a number xxx."

Decoding means the statement of words convert to the mathematical expression.

Here, let the number be x, "the product of one and a number" = 1.x
        "The sum of one and the product" = 1+1.x
 "The sum of one and the product of one and a number." = 1 + x

Thus, the required xxx can be decoded as 1+x.

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Answer:

the correct answer is A. 25 sandwiches.

Step-by-step explanation:

Assuming you have plenty of bread and jelly, you can make 25 sandwiches from the jar of peanut butter.

Each sandwich typically requires 2 tablespoons of peanut butter, one slice of bread with peanut butter and one slice of bread with jelly.

So, if you have 50 tablespoons of peanut butter, you can make 25 sandwiches with it, because 50 / 2 = 25.

Therefore, the correct answer is A. 25 sandwiches.

Answer: 25

Step-by-step explanation:

We have 50 tablespoons of peanut butter and we know that it requires 2 tablespoons to make a single sandwich. In order to find how many sandwiches we can make with our 50 tablespoons, we would have to do 50 divided by 2.

2+2...=50

Answer: D) 54 inches = 1 1/2 yards

explanation: 1 1/2 yards = 54 inches.

Answer:

55

Step-by-step explanation:

\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)

Make sure to always round up the required sample size to the nearest integer!

Answer:

7.02 x 10^1

Step-by-step explanation:

Answer:

7.02 * 10^1

Step-by-step explanation:

Answer:

g(x)=f(x-2)=3(x-2)+4=3x-2

The average ticket cost for each concert is given as follows:

The ticket costs are obtained by a system of equations, for which the variables are given as follows:

It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:

6a + 6b = 1707

a + b = 284.5.

Three tickets for concert B cost a total of $687, hence the cost for concert B is of:

3b = 687

b = 287/3

b = $95.67.

Replacing into the first equation, the cost for concert A is given as follows;

a = 284.5 - 95.67

a = $188.83.

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Answer: 119

Step-by-step explanation:

Let the acre of wheat to be cultivated be x.

Since the farm must grow three times as many acres of corn as wheat, therefore, corn = 3x

The information given can be used to form a equation as:

42(3x) + 30x = 18564

126x + 30x = 18564

156x = 18564

x = 18564/156

x = 119 acres of wheat

The value of P(x=1) from the given discrete data is 0.5.

From the given data

Let P(x=2)=x

p+p+x=1

x=1-2p

E(x²)=∑PiXi²=P(0)²+p(1)²+(1-2p)(2)²

= 0+p+(1-2p)4

= 4-7p

E(x)=∑PiXi=P(0)+P(1)(1-2p)(2)

= 0+p+2-4p

= 2-3p

Given that, E(x²)=E(x)

4-7p=2-3p

4p=2

p=0.5

Therefore, the value of P(x=1) from the given discrete data is 0.5.

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The slope which shows  the cost per guest is $35 per guest

The given cost for 50 guests is $2150.

The cost for 75 guests is $3025.

It can also be represented as:

(Guest, Cost) =(50, $2150) & (75, $3025)

The slope can now be calculated as

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (50, $2150) & (75, $3025)

Substituting the given values in the equation as follows:

Slope = (3025 - 2150)/(75 - 50)

Slope = 35

Hence, the slope is $35 per guest.

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Answer:

SE π ≈ 3.14 and round your answer to the nearest hundredth

Thus, for 3.14, the number in the hundredth place is 4. To round it, we will look at the third digit after the decimal, which is 0. We know any number lower than 5 is rounded down to zero, so we will round down and the rounded number will be 3.14. Conclusion: 3.14 rounded to the nearest hundredth is 3.14 itself.

Answer: 3.14

Step-by-step explanation: It’s not possible to round the answer so it would just be 3.14

The exponent property of nth roots states that for any real number a and any positive integer n, the nth root of a raised to the nth power equals a.

The property of nth roots, concerning exponents states that if 'a' is a real number and 'n' is a positive integer, then the nth root of 'a' when raised to the nth power will always be equal to 'a':

√ ( a ⁿ ) = a

This can greatly simplify expressions involving nth roots by multiplying the exponent by 'n', taking the nth root of the base:

( √ a ) ⁿ = √ ( a ⁿ )

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There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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Answer:

k=13

Step-by-step explanation:

A straight line is 180 degrees, so 4k-7+3k+6=180-90=90

7k-1=90, k=13

Answer:

12k^2+3k-42

Step-by-step explanation:

if we multiply both values (4k-7)(3k+6) like that can gave is 12k^2+3k-42

Jill's annual earnings can be calculated by multiplying her weekly pay by the number of weeks in a year: $298/week x 52 weeks/year = $15,496/year. Her earnings to date are $14,900, so she has earned an additional $596 in the current week.

Social Security is taxed at 6.2%, so the amount deducted from her pay each week is 6.2% of her gross weekly pay. That's 0.062 x $298 = $18.48.

Given: g(x) = 8x - 2

So, the value of g(-2) = 8 * -2 - 2 = -18

And g(4) = 8 * 4 - 2 = 30

We will check the given statements according to the values of g(-2) and g(4):

1) The value of g(-2) is larger than the value of g(4) [Wrong]

Because the value of g(-2) is smaller then the value of g(4)

2) The value of g(-2) is the same as the value of g(4) [Wrong]

3) The value of g(-2) is smaller than the value of g(4) [True]

4) The values of g(-2) and g(4) cannot be compared.​ [wrong]

So, the true statement is The value of g(-2) is smaller than the value of g(4)

Answer:

20

Step-by-step explanation:

35-55?

im not sure sorry if im wrong

Answer:

Community Parks

Step-by-step explanation:

Answer:

D

Step-by-step explanation: Because they are trying to reserve the parks and the animal life and plant life in it. Hope this helps :)

Answer:

452.4 in³

Step-by-step explanation:

Volume half sphere = 1/2 volume sphere

Volume sphere = 4/3πr²

Volume = 4/3*3.14*27             Radius = 1/2(6) .     3³ = 27

Volume ≈ 113.1

Volume Cylinder = Area circle x hieght

Area circle = πr²

Area circle = 3.14 * 9

Area circle = 28.26

Volume cylinder = 28.26 * 12 = 339.12

339.12 + 113.1 = 452.22

Because of rounding it would be ≈ 452.4

If my answer is incorrect, pls correct me!

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-Chetan K

Answer: 0.41

Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).

41 over 100 as a decimal point would be 41 divided by 100

Which produces the equivalent decimal, 0.41

P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)

0.41 = 41%

so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)

Best of luck in 5th grade :)

Therefore, the length of Naomi’s journey is 12 km.

What is total distance?

Total distance means the actual distance between the places from which the material is transported to the destination place.

Let’s assume that the length of the journey is x km.

Naomi travels by car for 1/3 of the journey. So she travels (1/3)x km by car.

She travels by train for 5/8 of the journey. So she travels (5/8)x km by train.

She walks for the remaining 500 m of the journey which is equal to 0.5 km.

The total distance travelled is equal to the sum of distances travelled by car, train and walking

= (1/3)x + (5/8)x + 0.5

= (19/24)x + 0.5 km.

We know that this total distance travelled is equal to x km.

So, we can write:

(19/24)x + 0.5 = x

Solving for x, we get:

x = 12 km

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Answer:

750 men

Step-by-step explanation:

150 divided by 3 equals 5

5 times 150 equals 750

so it will take 70 men in 10 days

Answer:

Step by step explanation:

well this is simble you just do it

Answer:

=10

Step-by-step explanation:

Answer:

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

Initial value of the toy is €450.

After 10% increase the value is:

After further 10% decrease the value becomes:

The final value of the toy is €445.50.