Sam has two six-sided dice. If she rolled the dice, what is the probability that she will roll of sum of 7?

Answer: The amount borrowed or deposited

Step-by-step explanation:

there isn't really an explanation, I just know the answer because I took a test with the exact same question and answer

Option C is correct, The difference between the future value and the amount of interest earned is the present value of money

percentage, a relative value indicating hundredth parts of any quantity.

The present value of money refers to the value of a future amount of money in today's dollars, based on a certain interest rate or discount rate.

It is the amount of money that would need to be invested today, at a given rate, to equal the future amount.

To calculate the present value of a future amount of money, we need to discount the future amount based on the interest rate or discount rate, which accounts for the time value of money

The difference between the future value and the amount of interest earned.

Hence, option C is correct, the difference between the future value and the amount of interest earned is the present value of money

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Answer:

DE = 6 cm

Step-by-step explanation:

The concept behind this question is the Chord-Chord Power Theorem. This product states that "if two chords intersect in a circle, then the products of the lengths of the chords segments are equal". In this case:

CE × DE = AE × BE

4 × DE = 8 × 3

4 × DE = 24
DE = 6 cm

Hope this helps!

Answer:

-2,-4,-8,-16

common ratio of geometric sequence shown is -2

this sequence is in the decreasing form.

the next number in this sequence is -32

I hope that helps.

Answer:

Let a be the first term and d be the common difference.

3rd term = 1407

a+2d = 1407  ------- 1

10th term = 1183

a+9d = 1183  ------- 2

By solving 1 and 2, a = 1471 and d = -32

so the general term T(n) = 1471 + (n-1)(-32)

                                          = 1471 - 32n +32

                                          = -32n + 1503

-32n + 1503 [tex]\geq[/tex] 0

            -32n [tex]\geq[/tex] -1503

                  n [tex]\leq[/tex] 46.96875

The number of positive terms = 46

Option A, which is 4 x 15 + 1 - 5 x 4 x 1, is the correct expression that is equal to 45 x 4 + 5.

To show this, we can simplify the expression as follows:

4 x 51 + 1 - 5 x 4 x 1

= 204 + 1 - 20

= 205 - 20

= 184

Then, we can check if 185 is equal to 45 x 4 + 5:

45 x 4 + 5

= 180 + 5

= 185

Since 185 is equal to 185, it is concluded that an expression that is "equal to" 45 x 4 + 5, is held by option A.

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Answer:

Answer is very unclear, but I think it is C.

Step-by-step explanation:

The best fit for the available space would most likely be 53,900 in.³

The work required to stretch the spring from its natural length to a distance of 9 inches beyond its natural length is 2.25 lb-ft.

The problem involves calculating the work required to stretch a spring from its natural length to a distance of 9 inches beyond its natural length, given that a force of 192 lb is required to hold the spring stretched 3 ft beyond its natural length.

To solve the problem, we use the formula for the work done by a force that varies with distance, which is given by:

W = (1/2) k (x2^2 - x1^2)

where W is the work done, k is the spring constant, x1 is the initial distance, and x2 is the final distance.

In this case, the initial distance is the natural length of the spring, which is 0 ft, and the final distance is 9/12 ft. To find the spring constant, we use the fact that a force of 192 lb is required to hold the spring stretched 3 ft beyond its natural length, which gives us:

192 = k * 3

Solving for k, we get k = 64 lb/ft.

Substituting the values into the formula, we get:

W = (1/2) * 64 * (9/12)^2

Simplifying, we get:

W = 2.25 lb-ft

This calculation shows how the work done by a force that varies with distance can be calculated using the spring constant and the distances involved.

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I would need to work at least 27 hours to make enough money to reach my goal.

What are arithmatic operations?

Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.

Let's start by finding the amount of money I receive from my allowance and how much more money I need to make to reach my goal:

Allowance per month = $60

Amount of money I need for social life = $260

Additional amount of money I need to make = $260 - $60 = $200

Now, let's divide the additional amount of money I need to make by the amount I make per hour to find how many hours I need to work:

$200 ÷ $7.50 per hour = 26.67 hours

Since we can't work a fraction of an hour, we need to round up to the nearest whole number.

Therefore, I would need to work at least 27 hours to make enough money to reach my goal.

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Answer:

Step-by-step explanation:

The equation connects m and n.

Suppose n=1,

m=3/1=3.

If n=2,

m=3/2=1.5

If n=3,

m=3/3=1. This shows that as n increases, m decreases.

If m was equal to 1,

1=3/n

Thus n=3.

If m=2,

2=3/n

n=1.5

If m=3,

3=3/n

n=1.

This also shows that as m increases, n decreases.

Hope this helps :)

Answer:

When I increased n, m decreased.

When I increase m, n decreases

Step-by-step explanation:

Let's say that m is one and n is 3

1 = [tex]\frac{3}{3}[/tex]  Us this as our base to compare increasing m and n.

Increase n to 6

[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{6}[/tex]

When I increased n, m decreased.

Increase m to 3

3 = [tex]\frac{3}{1}[/tex]

When I increase m, n decreases

The full meaning of CCTV is Closed-Circuit Television. It refers to a system of video cameras and monitors that are used for surveillance and security purposes. The cameras capture live video footage, which is then transmitted to a set of monitors or a central control room for viewing. The cameras are connected to the monitors through a closed circuit, meaning that the signal is not broadcast publicly and can only be viewed by authorized individuals. CCTV systems are commonly used in homes, businesses, and public spaces to deter crime and provide a record of events.

The vertex of the parabola is (0, -8).

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.

We have to find the vertex of the parabola y = x² - 8,

x = -b/2a

where a is the coefficient of the x² term,

b is the coefficient of the x term, and

x is the x-coordinate of the vertex.

a = 1 and b = 0, so:

x = -0/(2.1) = 0

Now let us find the y-coordinate of the vertex, we can substitute x = 0 into the equation for the parabola:

y = (0)² - 8 = -8

Hence, the vertex of the parabola is (0, -8).

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The expression for the number of different samples is: C(3, 2) x C(47, 4) = 3 x C(47, 4) = 3 x

(47! / (4! x 43!)).

The number of different samples of size 6 that contain exactly 2 defective parts can be calculated using the binomial coefficient formula:

C(3, 2) x C(47, 4)

where C(n, k) represents the number of ways to choose k objects from a set of n objects.

In this case, we first choose 2 defective parts from the 3 defective parts in the bin, which can be done in C(3, 2) ways. Then we choose 4 nondefective parts from the 47 nondefective parts in

the bin, which can be done in C(47, 4) ways. We multiply these two quantities together to obtain the total number of different samples of size 6 that contain exactly 2 defective parts.

Therefore, the expression for the number of different samples of size 6 that contain exactly 2 defective parts is:

C(3, 2) x C(47, 4) = 3 x C(47, 4) = 3 x (47! / (4! x 43!))

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Greta feeds Lizzy 56 crickets when she feeds Draco 77.

Proportion, in general is referred to as a part, share or number considered in comparative relation to a whole.

According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

The ratio is a way of comparing two quantities of the same kind by using division. The ratio formula for two numbers a and b is given by a: b or a/b

Given:

For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets.

Let solve it by an equality

[tex]\frac{11}{8} = \frac{77}{x}[/tex]

We want to solve for x.

We can do so by finding how much larger the second fraction is than the first.

In this case, 77 is 7 times larger than 11.(77/11 = 7)

So, we know that x must be 7 times larger then 8( because the fractions are proportinal)

Since x is 7 times larger than 8, we can use 7 times 8 to find the value.

7 times 8 i s56

56 crickets for Lizzy.

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x is 7 times larger than 8, we can use 7 times 8 to find the value, 7 times 8 is 56. Greta feeds Lizzy 56 crickets while she feeds Draco 77.

What is the Proportion?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole.

According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.

The ratio is a way of comparing two quantities of the same kind by using division. The ratio formula for two numbers a and b is given by a: b or a/b

Given:

For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets.

Let solve it with an equality

11/8 = 77/x

We want to solve for x.

We can do so by finding how much larger the second fraction is than the first.

In this case, 77 is 7 times larger than 11.(77/11 = 7)

So, we know that x must be 7 times larger than 8( because the fractions are proportional)

Hence, x is 7 times larger than 8, we can use 7 times 8 to find the value.

7 times 8 is 56.

56 crickets for Lizzy.

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Answer:

a)  Approximately 95% of healthy women in this group have blood platelet counts between 109.1 and 381.9 (1000 cells/μL).

b)  Approximately 99.7% of healthy women in this group have blood platelet counts between 40.9 and 450.1 (1000 cells/μL).

Step-by-step explanation:

The Empirical Rule (also known is the "68-95-99.7" rule) states that nearly all of the data within a normal distribution will fall within three standard deviations of the mean.

Given the blood platelet count of a group of women has a bell-shaped distribution with:

To determine the lower and upper bounds for blood platelet counts for 95% of the women, subtract and add two standard deviations to the mean:

[tex]\begin{aligned}\text{Lower bound}&= \mu - 2\sigma \\&= 245.5 - 2(68.2)\\&=245.5-136.4\\&=109.1\end{aligned} \qquad \begin{aligned}\text{Upper bound}&= \mu + 2\sigma \\&= 245.5 + 2(68.2)\\&=245.5+136.4\\&=381.9\end{aligned}[/tex]

Therefore, approximately 95% of healthy women in this group have blood platelet counts between 109.1 and 381.9 (1000 cells/μL).

To determine the lower and upper bounds for blood platelet counts for 99.7% of the women, subtract and add three standard deviations to the mean:

[tex]\begin{aligned}\text{Lower bound}&= \mu - 3\sigma \\&= 245.5 - 3(68.2)\\&=245.5-204.6\\&=40.9\end{aligned} \qquad \begin{aligned}\text{Upper bound}&= \mu + 3\sigma \\&= 245.5 + 3(68.2)\\&=245.5+204.6\\&=450.1\end{aligned}[/tex]

Therefore, approximately 99.7% of healthy women in this group have blood platelet counts between 40.9 and 450.1 (1000 cells/μL).

Answer:  [tex]5\sqrt{5} \ \text{ feet}[/tex]

Work Shown:

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{5^2+10^2}\\\\c = \sqrt{125}\\\\c = \sqrt{25*5}\\\\c = \sqrt{25}*\sqrt{5}\\\\c = 5\sqrt{5}\\\\[/tex]

For more information, search out "pythagorean theorem".

Answer:

Lower Quartile = 13 min; Upper Quartile = 27 min

Step-by-step explanation:

Since we have the median, we now separate the data equally to the left and right of the median.

Thus, on the left (lower) portion we have 10, 11, 13, 18, and 19.  We see 13 is the middle term of these 5 values so 13 is the lower quartile (Q1).

Similarly, one the right (upper) portion, we have 22, 25, 27, 30, and 32.  We see 27 is the middle term of these 5 values so 27 is the upper quartile (Q3)

Answer:

2

Step-by-step explanation:

Amy +3

Ray -4

Kim -2

Jammel +5

So,

3 - 4 - 2 +5 = ?

Answer is 2 points.

The probability that a specific vulnerability within an organization will be attacked by a threat is known as potential.

Potential refers to the likelihood that a specific vulnerability in an organization's security will be exploited by a threat actor or attacker. In the field of information security, the concept of potential is used to assess the risk associated with a particular vulnerability.

This risk assessment helps organizations to prioritize their security efforts and allocate resources where they are most needed. Determinism is a philosophical and scientific concept that refers to the idea that events are determined by prior causes, rather than by random chance.

Externality is an economic term that refers to the impact of an economic activity on parties not directly involved in the activity. For example, pollution from a factory may have externalities that affect the health and well-being of people who live near the factory.

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Answer:

The height of an equilateral triangle can be found using the Pythagorean theorem by treating it as a 30-60-90 triangle. In a 30-60-90 triangle, the ratio of the side lengths is 1:√3:2. In this case, the side length of 3 cm is the shorter leg, so the height (the longer leg) is 3√3 cm. Rounding to 1 decimal place, the height is approximately 5.1 cm.

Here both triangles are congruent by SAS.

What is congruent by SAS?

Side-Angle-Side congruence rule is referred to as ASA. Two triangles are said to be congruent according to this rule if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle. See if the two triangles given, ABC and XYZ, are congruent according to the ASA rule by looking at the image provided below. According to the ASA congruence rule, two triangles are said to be congruent if two of their respective sides and angles are equal to those of two other triangles and their respective sides and angles, respectively.

In the given triangles it's given that,

in both triangles the two sides are similar along with an angle.

So Here both triangles are congruent by SAS.

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Using the given linear equation, we found the altitude of the plane at different time periods and the altitude of airplane at 5 and 30 minutes is found to be 250 feet and 0 feet respectively.

What is a linear equation?

A linear equation is one that has the highest degree of 1 possible. This indicates that there are no variables in a linear equation with exponents greater than 1. A linear equation's graph almost always takes the shape of a straight line.

The linear equation which shows the altitude of an airplane is as follows,

y = -10x + 300

where y = altitude (in feet)

           x = time of descend ( minutes)

a) when x = 0

     y = 300 feet

  when x = 5 minutes

    y = -10 * 5 + 300 = 250 feet

 when x = 8 minutes

   y = -10 * 8 + 300 = 220 feet

when x = 10 minutes

 y = -10 * 10 + 300 = 200 feet

when x = 30 minutes

y = -10 * 30 + 300 = 0 feet.

the table is as follows:

x (minutes)     0         5          8          10       30

y(feet)            300    250     220     200       0

b) From the above table, we can see that at 5 minutes the altitude is 250 feet and at 30 minutes, the altitude is 0 feet. There is a decrease in altitude, which suggests the plane is descending and finally landed when the time was 30 minutes.

Therefore using the given linear equation, we found the altitude of the plane at different time periods and discussed the altitude of airplane at 5 and 30 minutes.

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Answer:

7

Step-by-step explanation:

f(-3)

f(x) = -4x-5

f(-3) = -4(-3) - 5

f(-3) = 12 - 5

f(-3) = 7

So the simplified expression of the expression given in the question is: 1.17 - 3.99a

To simplify the expression, we can combine the like terms, which are terms with the same variable and exponent. Starting with the first two terms: 1.17 - 0.07a. The next two terms are the opposite of each other, so we can add them: 1.17 - 0.07a + (-3.92a) = 1.17 - 0.07a - 3.92a. Finally, we can simplify the expression by combining the like terms, which are terms with the same variable: 1.17 - 0.07a - 3.92a = 1.17 - (0.07 + 3.92)a = 1.17 - 3.99a. So the simplified expression is: 1.17 - 3.99a

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Complete Question

Combine like terms to simplify the expression:

1. 17 − 0. 07 + ( − 3. 92 )  1. 17−0. 07a+(−3. 92a)

Answer: 2/12 (1/6 simplified) I think I don’t know I didn’t think much about it

Step-by-step explanation:

If reid takes a 2 quart pitcher of lemonade to the table and pours it all equally into 9 glasses, each glass contains approximately 0.888 cups (or 7/8 cups) of lemonade.

The problem states that Reid has a 2 quart pitcher of lemonade, which is equivalent to 8 cups. This is because there are 4 cups in one quart, so 2 quarts would be 2 x 4 = 8 cups.

Reid pours this entire amount of lemonade equally into 9 glasses. This means that the amount of lemonade in each glass will be the same. To find out how much lemonade goes in each glass, we need to divide the total amount of lemonade by the number of glasses.

We can use the following formula:

amount per glass = total amount / number of glasses

Plugging in the values we know, we get:

amount per glass = 8 cups / 9

Dividing 8 cups by 9 gives us a decimal value of 0.888..., which means that each glass contains approximately 0.888 cups of lemonade. This value is an approximation, since we rounded to the nearest thousandth place.

We can also express this value as a fraction by simplifying 0.888... as follows:

0.888... = 888.../1000...

= 8/9

Therefore, we can say that each glass contains 7/8 cups or approximately 0.888 cups of lemonade.

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Answer:

resistant

because the median is not affected by the size of an outlier and does not change even if a particular outlier is replaced by an even more extreme value, we say the median is resistant to outliers.