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3 years ago

3. Complete the following table with the mathematical statements that

Mathematics

1 answer:

lesya692 [45]3 years ago

7 0

Answer:

Step-by-step explanation:

Question (3)

The given expression is,

$\frac{4(x-3)}{3}=20$

Statements Proof

1). $\frac{4(x-3)}{3}=20$ 1). Given

2). $4(x-3)=60$ 2). Multiplication property of equality

3). 4x - 12 = 60 3). Distributive property

4). 4x = 72 4). Addition property of equality

5). x = 18 5). Division property of equality

Question (4)

Equations are,

5x + 10 = 30 ------(1)

5(x + 10) = 30 ------(2)

From equation (1),

5x + 10 = 30

5x = 30 - 10

x = 4

From equation (2),

5(x + 10) = 30

(x + 10) = 6

x = 6 - 10

x = -4

Therefore, solutions of both the equations are different.

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Write a statement that correctly interprets the confidence interval. Choose the correct answer below. A. One has 90% confidence

poizon [28]

Answer:

B. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

Step-by-step explanation:

A. One has 90% confidence that the sample proportion is equal to the population proportion.

Confidence interval gives an interval estimate, not an equality

B. There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

Ture.

C. One has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

Also true but One has 90% confidence is not good interpretation.

D. 90% of sample proportions will fall between the lower bound and the upper bound.

Lower bound and upper bound is given to estimate population proportion.

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3 years ago

Express 78 billion in scientific notation

ryzh [129]

Answer:

$7.8 * 10^{10}$ is scientific notation of 78 billion

Step-by-step explanation:

For scientific notation , follow the following notation:

$a * 10^{b}$ -------->(equation 1)

Let, $a^{'} = 78 billion$

$a^{'} = 78000000000$

$a^{'} = 78000000000.0$

In standard form

$a = 7.8000000000$

$a = 7.8$

As decimal point move 10 places from right to left, therefore

b = 10

Put the value of 'a' and 'b' in (equation 1)

$7.8 * 10^{10}$ is scientific notation of 78 billion

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4 years ago

Expand the following : 3/4 (-24x - 16 )

defon

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3 years ago

Find the surface area of the regular hexagonal prism.

stiv31 [10]

Do u have the surface area formula

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4 years ago

Read 2 more answers

19. For the following exercises, use the descriptions of each pair of lines given below to find the slopes of Line 1 and Line 2.

worty [1.4K]

Answer:

The given lines are un-related.

Step-by-step explanation:

In the question, two lines are given as line 1 passes through (-8,-55) and (10,89). Whereas, line 2 passes through (9,-44) and (4,-14).

It is required to find the slope of given lines and figure out whether they are perpendicular, parallel or neither.

To solve this question, first find the slope of both lines. Check if their product is equal to -1, then they are perpendicular. If the slopes are equal the lines are parallel.

Step 1 of 2

Find the slope of first line.

$\begin{aligned}&m_{1}=\frac{89-(-55)}{10-(-8)} \\&m_{1}=\frac{144}{18} \\&m_{1}=8\end{aligned}$

Step 2 of 2

Find the slope of first line.

$\begin{aligned}&m_{2}=\frac{-14-(-44)}{4-9} \\&m_{2}=\frac{30}{-5} \\&m_{2}=-6\end{aligned}$

Since, both slopes are neither equal nor reciprocal of each other.

Therefore, the lines are un-related.

4 0

2 years ago