Solve each ewuation 4x =-28

|-9| = |9| true or false.

bogdanovich [222]

Step-by-step explanation:

1) -9 = 9 true/false

the answer is false because negative and positive quite unlike in terms.

2) -(-21) = -21

Using the symbols multiplication rule,

Where,

Therefore, -(-21) = +21 = 21

⟼ 21 = -21 $\sf true / \: \sout{false}$

6 0

2 years ago

Read 2 more answers

If your the bus driver and you have 30 kids on the bus. But the first stop 10 kids get off the bus how old is the bus driver?

ozzi

Answer:

P.ut your age since you're the bus driver

Step-by-step explanation:

Hope this helps!

3 0

2 years ago

The distribution of income tax refunds follow an approximate normal distribution with a mean of $7010 and a standard deviation o

Andrej [43]

Answer:

A refund must be above $7,139 before it is audited.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7010, standard deviation = 43.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.

Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.

3 standard deviations above the mean, so:

7010 + 3*43 = 7139.

A refund must be above $7,139 before it is audited.

5 0

3 years ago

Help asap

kiruha [24]

Answer: (1) d, f (2) c, d, f (3) e, f (4) a, b, c, d, f (5) e, f

<u>Step-by-step explanation:</u>

a) Natural Numbers: 1, 2, 3, ...

b) Whole Numbers: 0, 1, 2, 3, ... <em>(add zero to the Natural numbers)</em>

c) Integers: ..., -3, -2, -1, 0, 1, 2, 3, ... <em>(add negatives to the Whole numbers)</em>

d) Rationals: Add terminating and repeating decimals to Integers.

************

e) Irrationals: Non-repeating decimals that are non-terminating. <em>This is its own category so cannot be a Rational number or above.</em>

f) Real Numbers: ALL of the above (a - e) are Real numbers.

1) -5.2 has a terminating decimal so it is a RATIONAL number.

2) -4 is below zero so is an INTEGER which means it is also a RATIONAL #

3) -4.3212... is a non-terminating decimal so it is an IRRATIONAL number

4) $\sqrt4$ = 2 is a NATURAL number which means it is also a WHOLE number, INTEGER, and RATIONAL number.

5) $\sqrt7$ is a non-terminating decimal so it is an IRRATIONAL number

6 0

3 years ago

Analyze the diagram below and complete the instructions that follow. Find a, b, and c.

ahrayia [7]

Answer:

<u>The correct answer is the letter C. </u>

Step-by-step explanation:

We can use the following trigonometric identity:

$cos(60)=\frac{6}{b}$ (1)

$cos(45)=\frac{c}{b}$ (2)

Solving each equation by b and equaling we have:

$\frac{6}{cos(60)}=\frac{c}{cos(45)}$

Let's recall that:

$cos(45)=\frac{1}{\sqrt{2}}$

$cos(60)=\frac{1}{2}$

Then we have:

$c=\frac{cos(45)*6}{cos(60)}$

$c=\frac{2*6}{\sqrt{2}}$

$c=\frac{12}{\sqrt{2}}$

$c=6\sqrt{2}$

Using equation (1) we can find b.

$cos(60)=\frac{6}{b}$

$b=12$

Finally, we can find a using the next equation:

$tan(60)=\frac{a}{6}$

$a=6*tan(60)$

$a=6\sqrt{3}$

<u>Therefore, the correct answer is the letter C. </u>

I hope it helps you!

5 0

3 years ago