A triangle has sides of square root of 2 and 3. Which could not be the length of the third side if it is a right triangle?

Answer:

Hence, the probability  of an access code “1234”= [tex]\dfrac{1}{10000}[/tex]

Step-by-step explanation:

" The probability of an event is defined as the ratio of total number of favourable outcomes to the total number of possible outcomes ".

A bank requires a four-digit access code for each account. The access code is generated using the digits 0–9, and the digits can be repeated.

The total number of outcomes possible are 10×10×10×10=10000

since the first place any of the 10 digits are possible, similarly for the second, third and fourth place.

Also each code is a unique representation in itself.

Hence the code "1234" is unique.

Hence, the probability  of an access code “1234”= [tex]\dfrac{1}{10000}[/tex]

To find the length of a side of a square with an area of 80 square inches, we take the square root of the area. This results in each side of the square being approximately 8.944 inches long.

The question is asking to find the length of a side of a square that has an area of 80 square inches. In geometry, the area of a square is calculated by squaring the length of one side. Therefore, to find the length of a side when you know the area, you need to take the square root of the area.

So, in this case, we take the square root of 80. Using a calculator, this results in approximately 8.944 inches. Therefore, each side of the square is about 8.944 inches long.

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12 and 2 Are the answers.

Answer:

[tex]F(64)=2[/tex]

Step-by-step explanation:

Given the funtion:

[tex]F(x)=log_8(64)[/tex]

We need to find the value of the function at x=64:

[tex]F(64)=log_8(64)= z[/tex]

Where z is the value we are trying to find. In order to find z, let's use the definition of the base of a log:

[tex]log_xy=z\Rightarrow x^z=y[/tex]

So:

[tex]8^z=64[/tex]

Express [tex]8^z[/tex] as:

[tex]2^{3z}[/tex]

And express 64 as:

[tex]2^6[/tex]

Which leads to:

[tex]2^{3z}=2^6[/tex]

Equate exponents of 2 on both sides:

[tex]3z=6[/tex]

Solving for z:

[tex]z=\frac{6}{3} =2[/tex]

Therefore:

[tex]F(64)=log_8(64)= z=2[/tex]

Answer:

4, 7

Step-by-step explanation:

Answer:

13 feet

Step-by-step explanation:

KM=LJ

LJ =LN+LN

   =6.5×2

    =13 feet

Final answer:

By using the counting principle and multiplying the choices for ice cream flavors (3) by the choices for toppings (4), we find there are 12 possible sundae combinations.

Explanation:

To determine the number of possible sundae combinations with the given choices, we can use the counting principle. We multiply the number of options for each category. In this case, there are three choices for ice cream flavors (chocolate, vanilla, and strawberry) and four choices for toppings (chocolate syrup, sprinkles, caramel, and whipped cream).

Since a sundae consists of one ice cream flavor and one topping, we simply multiply the number of options for ice cream by the number of options for toppings.

3 ice cream flavors × 4 toppings = 12 possible combinations.

Therefore, there are 12 unique sundae combinations a customer can choose from.

Answer:

A line that rises from left to right has a positive slope

Step-by-step explanation:

Verify each statement

case A) A horizontal line has no slope

The statement is False

Because a horizontal line has a slope equal to zero

case B) A vertical line has a slope of zero

The statement is False

Because a vertical line has a undefined slope

case C) A line that rises from left to right has a positive slope

The statement is True

case D) A line that falls right to left has a negative slope

The statement is False

Because a is a positive slope

Answer:

12

Step-by-step explanation: 36/3=12

The B. standard deviation is the measure that represents the average distance between the variable scores and the mean in a dataset. Statistics can indeed be b. cannot be influenced by inaccurate assumptions

The average distance between the variable scores and the mean in a set of data is the standard deviation. The standard deviation quantifies the variation or dispersion from the average of a dataset. It provides insight into how spread out the data points are relative to the mean. A low standard deviation suggests that the data points tend to cluster near the mean, whereas a high standard deviation indicates a wider spread of data points.

As for the limitations of statistics, they do not include that statistics cannot be influenced by inaccurate assumptions. In fact, statistics can be greatly influenced by assumptions, and care must be taken to ensure that the data and the assumptions upon which the analyses are based are accurate. Otherwise, the conclusions drawn from statistical analyses may be misleading.

Answer:

-5, 4

Step-by-step explanation:

the solutions to the equation [tex]3(x - 4)(x + 5) = 0[/tex]

To solve for x we set each factor =0 and solve for x

[tex]3(x-4)=0[/tex]

divide each term by 3

[tex](x-4)=0[/tex]

Add 4 on both sides

[tex]x=4[/tex]

[tex]x+5=0[/tex]

Subtract 5 on both sides

[tex]x=-5[/tex]

So x values are -5 and 4

Tabitha bought 5 pounds of peppers for $3.95 at a rate of $0.79 per pound by dividing the total cost by the price per pound.

The student asked how many pounds of peppers Tabitha bought if she paid $3.95 for them at a cost of $0.79 per pound.

To answer this, we need to divide the total cost by the price per pound.

So, we calculate $3.95 / $0.79 per pound to get the total pounds of peppers.

Here's how the calculation is done step-by-step:

Therefore, Tabitha bought 5 pounds of peppers.

The probability that exactly two of the five applicants will take the same test is approximately 0.384.

To solve the problem of finding the probability that exactly two of the five applicants for a driver's license will take the same written driving test, we can use the principles of combinatorial probability.

Identify the Total Number of Tests:

Identify the Total Number of Applicants:

Understand the Requirement:

Select the Applicants Who Share the Same Test:

Choose 2 out of the 5 applicants to take the same test. This can be done in:

[tex]\binom{5}{2} = 10 \text{ ways}[/tex]

Choose the Test for the Selected Applicants:

Assign Tests to the Remaining Applicants:

The remaining 3 applicants must take different tests. Since one test is already taken by the 2 applicants, there are 4 tests left available for the other 3.

We need to choose 3 tests from the remaining 4, which can be selected in:

[tex]\binom{4}{3} = 4 \text{ ways}[/tex]

The arrangement of these selected tests among the 3 remaining applicants can happen in:

[tex]3! = 6 \text{ ways}[/tex]

Calculate the Total Ways to Arrange Tests:

The total ways to assign tests involving both the shared test and unique tests is calculated as:

[tex]10 \times 5 \times 4 \times 6 = 1200 \text{ ways}[/tex]

Total Possible Assignments Without Restrictions:

Without any restriction, each of the 5 applicants could take any of the 5 tests, leading to:

[tex]5^5 = 3125 \text{ total combinations}[/tex]

Calculate the Probability:

The probability that exactly two applicants take the same test is then:

[tex]P(X=2) = \frac{1200}{3125} \approx 0.384[/tex]