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yulyashka [42]
3 years ago
14

Solve the inequality |2x - 28] > 32​

Mathematics
2 answers:
larisa86 [58]3 years ago
8 0

Answer:

X>30

Step-by-step explanation:

Well the brackets or parethesis or absolutvalue sign thingy doens’t ,matter. Out of all the signs that won’t do anything at all.

Solve it normally

add 28 on both sides

2x>60

60/2=30

x>30

jasenka [17]3 years ago
6 0

Answer:

Answer should be...

2x - 28 > 32

ADD BY BOTH SIDES (NON-VARIABLES)

    + 28  + 28

2x > 60

DIVIDE BY VARIABLE NUMBER (2)

2x/2 > 60/2

x > 30

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In a fruit cocktail, for every 100 ml of orange juice you need 12 ml of apple juice and 8 ml of coconut milk. What is the ratio
aksik [14]

Answer:

3:2:25

Step-by-step explanation:

ratio=

12:8:100

6:4:50

3:2:25

4 0
3 years ago
A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the
Svetradugi [14.3K]

Answer:

The probability that the sample proportion will be less than 0.05 is 0.80511.

Step-by-step explanation:

We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services.

Suppose the true proportion is 0.04 and 349 are sampled.

<u><em>Let </em></u>\hat p<u><em> = sample proportion</em></u>

The z score probability distribution for sample proportion is given by;

                                  Z = \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion

           n = sample size = 349

           p = population proportion = 0.04

Now, the probability that the sample proportion will be less than 0.05 is given by = P( \hat p < 0.05)

         P( \hat p < 0.05) = P( \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < \frac{0.05-0.04}{\sqrt{\frac{0.05(1-0.05)}{349} } } ) = P(Z < 0.86) = 0.80511

<em>The above probability is calculated by looking at the value of x = 0.86 from the z table which has an area of 0.80511.</em>

Hence, the probability that the sample proportion will be less than 0.05 is 0.80511.

5 0
4 years ago
The degree measure of angle a is 135°. which expression below is equivalent to the radian measure of angle a?
Kazeer [188]

It is given that \angle a=135^{\circ}.

Now, know that in 180 degrees there are \pi radians. This can be written as:

180^{\circ}=\pi radians

\therefore 1^{\circ}=\frac{\pi}{180} radians (dividing both sides by 180)

Thus, to find the measure of the given angle of 135^{\circ} in radians, we will have to multiply the above equation by 135. Thus, we get:

135^{\circ}=\frac{\pi}{180}\times 135 radians

135^{\circ}\approx2.356 radians

Thus, equivalent to the radian measure of angle a is 2.356


7 0
4 years ago
Read 2 more answers
Given: AC BD and AC and BD bisect each other.<br> Prove: BE EC
Goryan [66]

1) \overline{AC} \cong \overline{BD} and \overline{AC} and \overline{BD} bisect each other (given)

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3) ABCD is a rhombus (a parallelgoram with congruent diagonals is a rhombus)

4) \overline{BE} \cong \overline{EC} (halves of congruent segments are congruent)

5 0
3 years ago
A plane left Chicago at 8 A.M. At 12 P.M., the plane landed in Los Angeles, which is 1,700 miles away.
DaniilM [7]

Commercial passenger flights always list the time AT THE PLACE where
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flight departed ORD at 8:00 AM Central (Chicago) Time, and arrived LAX
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Since the trip spanned two time zones, it was actually in the air for 6 hours.

Average speed = (distance) / (time to cover the distance)

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====================================

But that wasn't what you had in mind, was it.

You meant that the flight took 4 hours.

In that case, the average speed was

                   (1,700 miles) / (4 hours)  =  425 miles per hour.

This is a much more reasonable average speed for a long haul
passenger jet airliner.

5 0
3 years ago
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