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3 years ago

IV

Mathematics

1 answer:

Wewaii [24]3 years ago

5 0

Answer:

1. 648

2. 81

Step-by-step explanation:

6 * 6 * 6 * 3 = 648

3 * 3 * 3 * 3 = 81

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How is solving an inequality similar to solving an equation? How is it different?

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It is similar because it gives you the equation to do to solve it but its different because you don't solve it <span />

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The single equivalent discount rate of 9/5/4 is .17008. True or False?

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I think its true but i may be wrong

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4 years ago

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I need help please

GREYUIT [131]

Answer:

Distance = 5 units

Step-by-step explanation:

The given problem asks us to determine the distance between two points, (1, 5) and (5, 2).

<h2>Solution:</h2>

In order to find the distance between two points, we can use the following distance formula:

$\displaystyle\mathsf{Distance\:(D)= \sqrt{(x_2\:-x_1)^2\:+\:(y_2\:-y_1)^2}}$

Let (x₁, y₁) = (1, 5)

(x₂, y₂) = (5, 2)

Step 1: Substitute points into the formula:

$\displaystyle\mathsf{Distance\:(D)= \sqrt{(x_2\:-x_1)^2\:+\:(y_2\:-y_1)^2}}$

$\displaystyle\mathsf{Distance\:(D)= \sqrt{(5\:-1)^2\:+\:(2\:-5)^2}}$

Step 2: Subtract the integers in each of the parenthesis under the radical:

$\displaystyle\mathsf{Distance\:(D)= \sqrt{(4)^2\:+\:(-3)^2}}$

Step 3: Evaluate the powers (exponents):

$\displaystyle\mathsf{Distance\:(D)= \sqrt{16\:+\:9}}$

Step 4: Add 16 and 9:

$\displaystyle\mathsf{Distance\:(D)= \sqrt{25}}$

Step 5: Take the square root of 25:

⇒ Distance (D) = 5 units.

<h2>Final Answer:</h2>

Therefore, the distance between points (1, 5) and (5, 2) is <u>5 units</u>.

<u><em>Keywords:</em></u>

Distance formula

Two points

____________________________

Learn more about about this topic here:

brainly.com/question/17119550

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3 years ago

A true-false quiz with 10 questions was given to a statistics class. Following is the probability distribution for the score of

disa [49]

Answer:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

Step-by-step explanation:

For this case we assume the following probability distribution:

X 5 6 7 8 9 10

P(X) 0.05 0.15 0.33 0.28 0.12 0.07

First we need to find the expected value (first moment) and the second moment in order to find the variance and then the standard deviation.

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

In order to find the standard deviation we need to find first the second moment, given by :

$E(X^2)=\sum_{i=1}^n X^2_i P(X_i)$

And using the formula we got:

$E(X^2)=(5^2 *0.05)+(6^2 *0.15)+(7^2 *0.33)+(8^2 *0.28)+ (9^2 *0.12 +(10^2 *0.07))=57.46$

Then we can find the variance with the following formula:

$Var(X)=E(X^2)-[E(X)]^2 =57.46-(7.48)^2 =1.5096$

And then the standard deviation would be given by:

$Sd(X)=\sqrt{Var(X)}=\sqrt{1.5096}=1.229$

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4 years ago

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Is 7/8 equivalent to 3/4?

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No, 3/4 is equivalent to 6/8 and 7/8 is in its final form

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3 years ago