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3 years ago

Can someone explain how I can solve this?

Mathematics

1 answer:

harina [27]3 years ago

3 0

Answer: q≤36

Step-by-step explanation: 6≥ q /6

6≥ 1 /6 q

1 /6 q≤6

6(1 /6 q)≤(6)(6)

q≤36

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(NEED DONE SOON) The measure of two supplementary angles are 4x - 24 and 4(2x - 3). <br> What is x

Zarrin [17]

Answer:

x = 12

Step-by-step explanation:

A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:

(4x - 24) + 4(2x - 3) = 180

4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))

12x - 36 = 180

12x = 144

x = 12, -12

Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.

5 0

3 years ago

Simplify the expression 14b-2-17b

Kamila [148]

The answer to the following question that you have asked is -2-3b

4 0

3 years ago

Area of square is numerically less than twice its diagonal by 2. Find its Perimeter.

Usimov [2.4K]

2D-a^2=2

2(a√2) -a^2=2

a^2-2√2*a+2=0

2a= 2√2 + √(8-4*2) = 2√2
hence, perimeter = 4a = 2*2a=2*2√2 = 4√2

8 0

3 years ago

Find two consecutive even numbers such that the difference of one-half the larger and two-fifths the smaller is equal to 38

expeople1 [14]

EXPLANATION

The consecutive even numbers are
$370 \: and \: 372$

EXPLANATION

Let
$x$
be the first even number then, the next even number will be,

$x + 2$

The difference of one-half the larger one and two-fifth the smaller one is 38 gives the equation,

$\frac{1}{2} (x + 2) - \frac{2}{5} x = 38$

We multiply through with an LCM of 10 to get,

$10 \times \frac{1}{2} (x + 2) - 10 \times \frac{2}{5} x = 38 \times 10$

This simplifies to,

$5(x + 2) - 4x = 380$

We expand the brackets to get,

$5x + 10 - 4x = 380$

We group like terms to get,

$5x - 4x = 380 - 10$

This simplifies to
$x = 370$

Therefore the next even number is is
$372$

6 0

3 years ago

Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally

mariarad [96]

Answer:

a) 0.1587 (or 15.87%)

b) 0.0478 (or 4.78%)

c) 0.7935 (or 79.35%)

Step-by-step explanation:

Find the following probabilities:

(a) the thickness is less than 3.0 mm

We need to find the area under the Normal curve with a mean of 4.5 mm and a standard deviation of 1.5 mm to the left of 3 mm

<h3>(See picture 1 attached) </h3>

We can do that with the help of a calculator or a spreadsheet.

<em>In Excel use </em>

<em>NORMDIST(3,4.5,1.5,1) </em>

<em>In OpenOffice Calc use </em>

<em>NORMDIST(3;4.5;1.5;1) </em>

and we get the value 0.1587 (or 15.87%)

(b) the thickness is more than 7.0 mm

Now we need the area to the right of 7 (1 - the area to the left of 7)

<h3>(See picture 2 attached) </h3>

<em>In Excel use </em>

<em>1-NORMDIST(7,4.5,1.5,1) </em>

<em>In OpenOffice Calc use </em>

<em>1-NORMDIST(7;4.5;1.5;1) </em>

and we get the value 0.0478 (or 4.78%)

(c) the thickness is between 3.0 mm and 7.0 mm

We are looking for the area between 3 and 7

<h3>(See Picture 3) </h3>

Since the area under the Normal equals 1, we have

Area to the left of 3 + Area between 3 and 7 + Area to the right of 7 = 1

Hence,

0.1587 + Area between 3 and 7 + 0.0478 = 1

and

Area between 3 and 7 = 1 - 0.1587 - 0.0478 = 0.7935 (or 79.35%)

4 0

3 years ago

Read 2 more answers