Multiply.

31.246⋅3.48


A. 1.0873608

B. 10.873608

C. 108.73608

D. 1087.3608

Step-by-step explanation:

Notice that 1km = 1000m = 100000cm.

Therefore 21.7km = 2170000cm.

Answer:

2170000 cm

Step-by-step explanation:

21.7 k/m × 10³ × 10²

The probabilities of wearing blue and green shirts are solved below.

Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.

Given that,

Number of blue shirts in closet = 6,

And number of green shirts in closet = 4

Total number of shirts in closet = 6 + 4 = 10.

(7)

To find the probability of blue shirt on Monday,

Probability = Number of blue shirt / total shirt = 6 / 10 = 3 / 5

Since, blue shirt put into wash, therefore total number of shirts will be 9.

Probability of green shirt on Tuesday,

Probability = number of green shirt / total shirt = 4 / 9

(8)

Probability of green shirt on Monday,

Probability = number of green shirt / total shirt = 4/ 10 = 2 / 5

Since, green shirt put back into closet, therefore total shirt will be 10.

Probability of green shirt on Tuesday,

Probability = 4 / 10 = 2 / 5

The required probabilities are shown above.

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To calculate the p-value, we need to use a one-tailed t-test since we're interested in the probability of getting a sample mean greater than 12.10 oz.

First, we need to calculate the t-statistic:

t = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))

t = (12.15 - 12.10) / (0.05 / sqrt(25))

t = 3.1623

Next, we need to find the degrees of freedom, which is the sample size minus one:

df = 25 - 1 = 24

Using a t-distribution table with 24 degrees of freedom and a significance level of 0.01, we find that the critical value is 2.492.

Since the calculated t-value (3.1623) is greater than the critical value (2.492), we can reject the null hypothesis and conclude that there is evidence that the mean volume is greater than 12.10 oz.

To find the p-value, we need to calculate the probability of getting a t-value greater than 3.1623 with 24 degrees of freedom:

p-value = P(t > 3.1623) = 0.0028 (calculated using a t-distribution table or software)

Therefore, the p-value is 0.0028, which is less than the level of significance (0.01), indicating strong evidence against the null hypothesis.

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What points are you describing?

Answer: 9 × 6 = 54

Step-by-step explanation:

In the Product Game, we need to multiply the both number of factor markers.

Chris and Katie were playing The Product Game. Their factor markers were on 9  and 2.

Number = 9 × 2 = 18

Chris decided to move the marker from 2 to 6.

Now, one maker is on 9 and other is on 6. So,

Number = 9 × (2 + 4)

Number = 9 × 6 = 54

Therefore, 9 × 6 = 54 is a numerical expression  to represent his move.​

the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

To find the set difference C - A, we need to remove all elements from A that are also present in C. Let's examine the sets:

C = {0, 6, 12, 18}

A = {2, 4, 6, 8, 10, 12}

We compare each element of A with the elements of C. If an element from A is found in C, we exclude it from the result. After the comparison, we find that the elements 2, 4, 8, 10 are not present in C.

Thus, the set difference C - A is {0, 18}, as these are the elements that remain in C after removing the common elements with A.

Therefore, the correct choice is {0, 18}. These elements are unique to set C and do not appear in set A.

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Answer:

below

Step-by-step explanation:

The arc length is  220 / 360 ths of the total circumference

find the total circumference = pi *2r = 64 pi  inches

now multiply by the fraction  of the total circumference

   220 / 360   *  64 pi = 122.9 in

Answer:

2926 cm²

Step-by-step explanation:

The area of a rectangle is 325 cm^2. What is the area of a rectangle in cm^2 with sides 3 times as large?

Step 1

A rectangle has both Length and Width

Let us assume the Length = Width

The area of a rectangle is 325 cm²

Area = Length × Width

325 cm² = L²

L = √325 cm²

L = 18.027756377 cm

Approximately = 18.03 cm = Widtdh

Step 2

What is the area of a rectangle in cm² with sides 3 times as large?

From Step 1

L = 18.03cm

3 times as large = 18.03 cm × 3

= 54.09 cm

The Area for this rectangle

= A = L²

A =( 54.09 cm)²

A= 2925.7281 cm²

Approximately = 2926 cm²

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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\(D:2x > 0\wedge x+2 > 0\\D:x > 0 \wedge x > -2\\D: x > 0\)

\(\log_42x+\log_4(x+2)=2\\\log_4(2x(x+2))=2\\2x^2+4x=4^2\\2x^2+4x-16=0\\x^2+2x-8=0\\x^2+2x+1-9=0\\(x+1)^2=9\\x+1=3 \vee x+1=-3\\x=2 \vee x=-4\)

\(-4\not\in D\)

Therefore \(x=2\).

The final amount when $10,000 is invested for 3 years at 3% the interest is compounded continuously is  $10,942

What is compound interest ?

A compound interest rate is a rate of interest calculated on both the amount saved and the interest earned on it.

In the given question the expression to calculate amount is given as :

A = Pe^(rt)

where,

P = principle amount that is $10,000

r = rate of interest that is 3%

t = time period that is 3 years

Now, calculating Amount by substituting the above value in the formulae :

A = Pe^(rt)

A = 10000 e^(0.03 x 3)

A = 10000 e^(0.09)

A = 10000 x 1.0942

A = $10,942

Therefore, the final amount when $10,000 is invested for 3 years at 3% the interest is compounded continuously is $10,942

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Answer:

B) 25

Step-by-step explanation:

0.10x + 0.20y = 0.18(x+y)

Here, y=100

Put the value of y in the given equation,

0.10x + 0.20*(100) = 0.18(x+100)

0.10x + 20 = 0.18x + 18

Subtract 0.18x and 20 on both sides,

0.10x - 0.18x = 18 - 20

-0.08x = -2

Divide by -0.08,

x = 25 millilitres

Answer:

common ratio:2 2. 18  3.36  4.72 equation: 4.5(\(2^x\))

Step-by-step explanation:

144=2*2*2*2*3*3    9=3*3

the common ratio would be 2

2. 9*2=18

3. 18*2=36

4. 36*2=72

(check) 72*2=144

0. 9/2=4.5

equation: 4.5(\(2^x\))

A)   The t-value for this case is 2.179.B) The t-value for this case is -1.676.C)  The t-value for this case is 2.750.D) The t-values for this case are -1.708 and 1.708. E) The t-values for this case are -2.021 and 2.021.

To find the t-values for each of the given cases, we can use a t-distribution table or a calculator. Here are the solutions to each case:

(a) Upper tail area of 0.025 with 12 degrees of freedom:

Using a t-distribution table, we can find the t-value for the upper tail area of 0.025 with 12 degrees of freedom. The value is 2.179. Therefore, the t-value for this case is 2.179.

(b) Lower tail area of 0.05 with 50 degrees of freedom:

Using a t-distribution table or a calculator, we can find the t-value for the lower tail area of 0.05 with 50 degrees of freedom. The value is -1.676. Therefore, the t-value for this case is -1.676.

(c) Upper tail area of 0.01 with 30 degrees of freedom:

Using a t-distribution table or a calculator, we can find the t-value for the upper tail area of 0.01 with 30 degrees of freedom. The value is 2.750. Therefore, the t-value for this case is 2.750.

(d) Where 90% of the area falls between these two t values with 25 degrees of freedom:

We can use a t-distribution table or a calculator to find the t-values that correspond to the 5th and 95th percentiles of the t-distribution with 25 degrees of freedom. The values are -1.708 and 1.708, respectively. Therefore, the t-values for this case are -1.708 and 1.708.

(e) Where 95% of the area falls between these two t values with 45 degrees of freedom:

We can use a t-distribution table or a calculator to find the t-values that correspond to the 2.5th and 97.5th percentiles of the t-distribution with 45 degrees of freedom. The values are -2.021 and 2.021, respectively. Therefore, the t-values for this case are -2.021 and 2.021.

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Answer:

0.43715

Step-by-step explanation:

We solve using z score calculator

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = $276,000

σ is the population standard deviation = 32,000

For x = $276,000

z = 276,000 - 276,000/32000

z = 0

Probability value from Z-Table:

P(x = 276000) = 0.5

For x = $325,000

z = 325,000 - 276,000/32000

z = 1.53125

Probability value from Z-Table:

P(x = 325000) = 0.93715

The probability that the next house in the community will sell for between $276,000 and $325,000 is

P(x = 325000) - P(x = 276000)

= 0.93715 - 0.5

= 0.43715

Answer:

13.85$

Step-by-step explanation:

105$-8$=97$

97$/7$=13.85$

Answer: About $13.86

Step-by-step explanation: To find how much the cost of the forks is, we need to subtract the value of the lunch box from the total cost, because we don't need to find the value of the lunch box. So:

105 - 8 = 97

So, now since he bought 7 forks, we need to divide 7 by 97. So:

97 / 7 = 13.857142857142858

So, we need to round to the nearest cent. So, the 7 is greater than 5, so we round up. So, we have $13.86 each. So, check, we do:

13.86(7) + 8

97.02 + 8

= 105.02

This is the closest he can buy for each fork is ABOUT $13.86. I hope this helps ;)

Answer:

10.50+2000 tanks .........

Answer: 37 degrees

Hope this helps :)

Step-by-step explanation:

(The box in the corner tells you this is a right angle)

A right angle is 90 degrees

90 - 53 = 37

Answer:

37 degrees

Step-by-step explanation:

Angle a is equivalent to 37 degrees because the picture signifies a right angle; all right angles are equal to 90 degrees. The equation to solve this would be: 53+x=90, you would solve this by subtracting 90-53=x; x=37

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Antawan's solution is the absolute value of Maggie's solution is the solution related to Antawan's and Maggie's solution.

Given

Antawan determines the distance between two points as 9.

Maggie finds the difference between two numbers ₋ 7 ₋ 2 = ₋9

Hence we notice that Antawan's solution is the absolute value to the Maggie's solution.

The non-negative value of x, regardless of its sign, is the absolute value (or modulus) | x | of a real number x. For instance, 5 has an absolute value of 5 and so does 5, which likewise has an absolute value of 5. One way to conceptualize a number's absolute value is as its separation from zero on the real number line.

hence option 2 is right.

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Answer:

24cm

Step-by-step explanation:

6x4=24

We shall use the relation:

Therefore, we have

Then the angle m∠C is 45 degrees

The Answer Is X=84

Make an equation for x.

x+40+2/3x=180

x+2/3x=140

Combine like terms.

1 2/3x=140

140/1 2/3 =84

x=84

The simplified expression is given by (x² - 3x - 3) / ((x + 3)(x - 2)(x - 4)).

To simplify this expression, we need to find a common denominator for the two fractions and then combine them. To do this, we need to factor the denominators of both fractions.

Let's start with the first fraction's denominator:

x² + x - 6

We need to find two numbers that multiply to -6 and add to +1. These numbers are +3 and -2. Therefore, we can write:

x² + x - 6 = (x + 3)(x - 2)

Now let's factor the second fraction's denominator:

x² - 6x + 8

We need to find two numbers that multiply to 8 and add to -6. These numbers are -2 and -4. Therefore, we can write:

x² - 6x + 8 = (x - 2)(x - 4)

Now we can rewrite the original expression with a common denominator:

(x(x - 2) - (1)(x + 3)) / ((x + 3)(x - 2)(x - 4))

Next, we can simplify the numerator:

(x² - 2x - x - 3) / ((x + 3)(x - 2)(x - 4))

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

Finally, we can't simplify this expression any further. Therefore, the simplified expression is:

(x² - 3x - 3) / ((x + 3)(x - 2)(x - 4))

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Answer:

ok what is thepromblem

Step-by-step explanation:

Answer:

whats up? whats tha questionn :)

Step-by-step explanation:

The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.

To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the initial temperature of 25 °C to Kelvin:

T1 = 25 + 273.15 = 298.15 K

Next, we can rearrange the ideal gas law equation to solve for V2:

V2 = (P1 * V1 * T2) / (P2 * T1)

We have:

P1 = 1.08 atm (initial pressure)

V1 = 50.0 L (initial volume)

P2 = 0.855 atm (final pressure)

T2 = 10.0 °C (final temperature)

Converting the final temperature to Kelvin:

T2 = 10 + 273.15 = 283.15 K

Substituting the values into the equation:

V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)

V2 ≈ 42.81 L

Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.

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The closest option to the reorder point is 71.40 pounds.

To determine the reorder point, we need to find the demand during the lead time and the safety stock.

First, let's calculate the demand during the lead time. The mean daily rate is 15 pounds, and it takes 4 days for the order to arrive. So, the mean demand during the lead time is 15 pounds/day * 4 days = 60 pounds.

Next, let's calculate the safety stock. The pizza shop wants to limit the probability of a stockout to 7 percent. We can find this value using the z-score table.

Looking up the z-score corresponding to a 7 percent probability, we find that it is approximately 1.89.

The standard deviation is given as 6 pounds.

So, the safety stock is calculated as 1.89 * 6 pounds = 11.34 pounds.

Finally, the reorder point is the sum of the mean demand during the lead time and the safety stock.

Reorder point = 60 pounds + 11.34 pounds = 71.34 pounds.

Therefore, the closest option to the reorder point is 71.40 pounds.

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Answer:

22

Step-by-step explanation:

You have to do order of op

Answer:

D. \(\mathrm{1\frac{1}{2}\:hours}\)

Step-by-step explanation:

As it asks how many more, it means plus, plus means addition. So, let find the difference between the two fractions.

This week should be at first, and last week should be after the minus sign.

\(5\frac{1}{4} - 3\frac{3}{4}\)

\(\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction}\)

\(5\frac{1}{4} = 4\times5=20+1=21\\\\\frac{21}{4} \\\\3\frac{3}{4} = 4\times3=12+3=15\\\\\frac{15}{4}\)

\(\frac{21}{4} - \frac{15}{4}\)

\(\mathrm{Subtract\: the\: numerators,\: not \:the \:denominators.}\)

\(\frac{21}{4} - \frac{15}{4}\\\\21-15=6\)

\(\frac{6}{4} \\\\\mathrm{\underline{Simplify:}}\: \bold{1\frac{1}{2}}\)