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3 years ago

Please help with this inequality.

Mathematics

1 answer:

iren [92.7K]3 years ago

3 0

44 $\geq$ -3x + 2 > 14.
-2 -2 -2

42 $\geq$ -3x > 12
-------------------------------------
-3 -3 -3 (dividing with inequalities by a negative flips the inequality symbol)

-14 $\leq$ x < -4

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Answer:

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Step-by-step explanation:

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3 years ago

Help explain an show work thank you so much!

Dominik [7]

5 is (D)...…………………okay

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3 years ago

Martha estimated the quotient of -71.81 and -8.02 using

steposvetlana [31]

Option 2

Martha estimated the quotient. Martha error was she should have rounded -8.02 to -8.

SOLUTION:

Given that, Martha estimated the quotient of -71.81 and -8.02 using rounding to the nearest whole number.

And she committed an mistake. We have to find the error made by Martha while calculating quotient.

She treated -71.81 to be 72 and -8.02 to be 9. As both the number are negative there will be no problem when we get quotient.

When treated as above she got quotient as 8.

But in general, the quotient is not 8.

If we see options, we derive an conclusion.

Option (1)

she should have rounded 71.81 to 70, no this is not correct as 72 is nearest whole number.

Option (2)

she should have rounded 8.02 to 8, yes this is correct conclusion.

Option (3)

she should have divided 8 by 72, no this is not correct, we should divided 72 by 8.

Option (4)

she didn’t make an error, this is wrong as in 2nd option we caught an error.

Hence, second option is correct.

6 0

3 years ago

Read 2 more answers

Find the perimeter of the shaded region. Round your answer to the nearest hundredth.

nataly862011 [7]

Answer:

59.16 units

Step-by-step explanation:

Given that,

The length of rectangle, L = 13

The breadth of the rectangle, B = 6

The perimeter of the shaded region = perimeter of rectangle - 2(perimeter of semicircle)

$P=13\times 6-[2\times \dfrac{2\pi r}{2}]\\\\=78-2\pi r\\\\=78-2\times 3.14\times 3\\\\=59.16$

So, the perimeter of the shaded region is 59.16 units.

4 0

3 years ago

A normal distribution has a mean of 10 and a standard deviation of 1. What is the probability of selecting a number that is at m

Len [333]

Answer: 0.500

Step-by-step explanation:

Given : A normal distribution has a mean $(\mu)$ of 10 and a standard deviation $(\sigma)$ of 1.

Let x be a random variable that represents numbers .

The probability of selecting a number that is at most 10 will be

$P(x\leq10)=P(\dfrac{x-\mu}{\sigma}\leq\dfrac{10-10}{1})\\\\=P(z\leq0)=0.500$

As the area occupied by standard normal curve less than equal to 0 = 0.500

So, required probability = 0.500

3 0

3 years ago