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antiseptic1488 [7]
3 years ago
13

Which inequality is true? Use the number line to help. A number line going from negative 2.5 to positive 2.5 in increments of 0.

5. Negative 1.5 greater-than 0.5 Negative 0.5 greater-than 0 Negative 1.5 less-than negative 0.5 One-half greater-than 0.5
Mathematics
2 answers:
Ede4ka [16]3 years ago
7 0

Answer:

C

Step-by-step explanation:

I got it right on edge

alexgriva [62]3 years ago
3 0

Given:

A number line going from negative 2.5 to positive 2.5 in increments of 0.5.

To find:

The inequality which is true.

Solution:

Consider the number line as shown in the below figure.

We know that, on a line as we go to the left direction, the number become smaller and as we go right, the numbers become larger.

From the number line it is clear that -1.5 is on the left side of 0.5. So,

-1.5

Hence, option A is incorrect.

-0.5 is on the left side of 0. So,

-0.5

Hence, option B is incorrect.

-1.5 is on the left side of -0.5. So,

-1.5

Hence, option C is correct.

One half is equal to 0.5.

\dfrac{1}{2}=0.5

Hence, option D is incorrect.

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Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not
Igoryamba

Answer:

Step-by-step explanation:

We would construct a confidence interval.

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Since the sample size is large and the population standard deviation is known, we would use the following formula and determine the z score from the normal distribution table.

Margin of error = z × σ/√n

Where

σ = population standard Deviation

n = number of samples

From the information given

x = 36.02 inches

σ = 0.1 inches

n = 40

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.005 = 0.995

The z score corresponding to the area on the z table is 2.58. Thus, confidence level of 99% is 2.58

Margin of error = 2.58 × 0.1/√40 = 0.041

Confidence interval = 36.02 ± 0.041

The lower end of the confidence interval is

36.02 - 0.041 = 35.979 inches

The upper end of the confidence interval is

36.02 - 0.041 = 36.061 inches

Since 36.061 > 36.05, then we would conclude that the machine needs an adjustment.

The formula used is

Confidence interval =

Sample mean ± z × σ/√n

7 0
3 years ago
Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at lea
lbvjy [14]

Answer:

(0, 33)   : Yes

(4.8,  30.5)  : Yes


Step-by-step explanation:

height of at least 24 ft :  y >= 24

horizontal distance of no more than 10 ft. : 0 <= x <= 10

The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.:

y >=  3x and y <= 33

So Constraints:

24 <= y <= 33

y >= 3x

0 <= x <= 10

Now check to see if those coordinate points meet all the constraints

(0, 33)   : Yes

(4.8, 30.5)  : Yes

(9, 26)  : No (because 26 is less than (3 * 9) = 27)

(4, 36) : No (because 36 > 33,  must be 24 <= y <= 33)

(2, 22): No (because 22 <24,  must be 24 <= y <= 33)

5 0
3 years ago
Kevin weighed his baggage before going on a trip. In what unit did the measuring scale show the weight of his baggage? What is t
seropon [69]

Step-by-step explanation:

the answer is lbs i think

4 0
2 years ago
Help me please ASAP!!!!!!
FrozenT [24]

Answer:

45 degrees

Step-by-step explanation:

Ok I think it is 45 degrees try that if not super sorry

3 0
2 years ago
Whats the área of a square whose perimeter is 48
Roman55 [17]

Answer:

144

<h3>Step-by-step explanation:</h3>

If 48 is the perimeter, then 48 divided by 4 is one of the side lengths.

L x W = Area

12 x 12 = Area

12 x 12 = 144

Area = 144

7 0
3 years ago
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