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3 years ago

Which of the following rational numbers has the smallest absolute value? -1.5, -4, 8, or 0.5?

Mathematics

2 answers:

ICE Princess25 [194]3 years ago

6 0

The answer is 0.5

you're welcome

Marrrta [24]3 years ago

5 0

-4 por qu si locas en una linea numerica ese seria el que esta mas a la izqerda

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8 to 11 do it with equations thx

Alenkasestr [34]

Answer:

Step-by-step explanation:

8. $4\geq x+\frac{3}{4}$

$4(4\geq x+\frac{3}{4} )$

$16\geq 4x + 3$

$-3$ $-3$

$13\geq 4x$

$\frac{13}{4}\geq \frac{4x}{4}$

$\frac{13}{4} \geq x = x\leq \frac{13}{4}$

$x\leq \frac{13}{4}=3.25$

9. $x-3\leq -8$

$+3$ $+3$

$x\leq -5}$

10. $4\leq x-7$

$+7$ $+7$

$11\leq x=x\geq 11$

11. 6.9 < x - 2.3

+ 2.3 + 2.3

9.2 < x = x > 9.2

Hope this helps!

5 0

2 years ago

The situation is as follows: Smart phones have changed the world and how we spend our time. A group of researchers at BYU want t

Scilla [17]

Answer:

The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.

Step-by-step explanation:

Confidence interval normal

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.96}{2} = 0.02$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.02 = 0.98$ , so Z = 2.054.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 2.054\frac{54}{\sqrt{430}} = 5.35$

The lower end of the interval is the sample mean subtracted by M. So it is 312 - 5.35 = 306.65 minutes

The upper end of the interval is the sample mean added to M. So it is 312 + 5.35 = 317.35 minutes

The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.

8 0

2 years ago

Two planes start flying towards each other simultaneously from two different cities. The distance between the cities is 960 mile

ANTONII [103]

Answer:

257.5 mph

332.5 mph

Step-by-step explanation:

The initial distance between the two planes is 960 miles, while the final distance (after t=1.5 h) is 75 miles, so the total distance covered by the two planes in 1.5h is

$d=960-75=885$ miles

Calling v1 and v2 the velocities of the two planes, we have the following equations:

(1) $v_1 = v_2 + 75$ --> velocity of plane 1 exceeds velocity of plane 2 by 75 mph

(2) $v_1 t+ v_2 t=885$ --> the total distance covered by the two planes is 885 miles (t=1.5 h is the time, and the products v1 t and v2 t represent the distance covered by each plane)

Substituting t=1.5 h, the second equation becomes:

$1.5 v_1+1.5 v_2=885\\v_1 + v_2 = 590$

By substituting (1) into this last equation, we find:

$(v_2+75)+v_2 = 590\\2v_2 + 75 = 590\\2v_2 = 515\\v_2=257.5$

And substituting this back into eq.(1), we find

$v_1 = 257.5 + 75=332.5$

So, the speeds of the two planes are

257.5 mph

332.5 mph

3 0

2 years ago

In what way does algebra act as a tool to improve communication? How does algebra affect how people can learn from others?

emmasim [6.3K]

Answer:

The need of help. I think that in some way, since Algebra can be quite difficult to understand students ask questions need help in order to understand more.

4 0

2 years ago

Six more than five times a number is equal to the sum of three times the same number and 10. Identify the equation you would use

mestny [16]

Answer: the equation is 6+5x=3x+10.

Step-by-step explanation:

to find the number

add 5x+3x

then add 10+6

8x=16

divide by 2 each side.

x=2

3 0

2 years ago