The plot below shows the amount of liquid remaining in 555 basketball players' water bottles after practice. All measurements are rounded to the nearest \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction pint.

Given:

The volume of a cuboid = 275 cm³

The base area of the cuboid = 25 cm²

To find:

The height of the cuboid.

Solution:

We know that, the volume of a cuboid is:

[tex]V=l\times b\times h[/tex]

Where, l is length, b is breadth and h is the height.

It is also written as:

[tex]V=B\times h[/tex]               ...(i)

Where, B is the base area and h is the height of the cuboid.

Putting [tex]V=275, B=25[/tex] in (i), we get

[tex]275=25\times h[/tex]

[tex]275=25h[/tex]

[tex]\dfrac{275}{25}=h[/tex]

[tex]11=h[/tex]

Therefore, the height of the cuboid is 11.

Answer:

Diameter

Step-by-step explanation:

The diameter is a straight line through the centre of a circle.

Hope this helps :)

Answer:

Simple random sampling

Step-by-step explanation:

Luke wants to study average minutes students read each night. For that matter, he has selected a 'sample' of 25 students from entire 'population' of students in school.

He has selected the sample students randomly, for collecting data related to minutes of study each night. He also collects data from them directly ie with primary contact with them.

So, primary data collection, simple random sampling - has been used as a type of data collection.

Answer:

Option (iv) is correct.

Step-by-step explanation:

The linear equation is the equation in which the degree of the equation is 1.

(i) x/3 = 12

As the degree of equation is 1, so, it is a linear equation.

(ii) x + 1 = 6

As the degree of equation is 1, so, it is a linear equation.

(iii) x + y + z = 17

As the degree of equation is 1, so, it is a linear equation.

(iv) x y + x / y = 3

x y^2 + x = 3 y

The degree of equation is 3, so the equation is non linear.

Answer:

Radius

Step-by-step explanation:

I know the answer

Answer:

Radius

Step-by-step explanation:

Answer:

The expected value of the student's score on the test is 3.4.

Step-by-step explanation:

Multiple choice questions:

worth 3 points.

Five possible choices, one of which is correct. So the expected value of the student in each multiple choice question is:

[tex]m = 3\frac{1}{5} = 0.6[/tex]

True/false questions:

worth 1 point.

2 options, one of which is correct, so the expected value for each is:

[tex]t = 1\frac{1}{2} = 0.5[/tex]

What is the expected value of the student's score on the test ?

4 multiple choice, two true-false. So

[tex]E = 4m + 2f = 4(0.6) + 2(0.5) = 2.4 + 1 = 3.4[/tex]

The expected value of the student's score on the test is 3.4.

Answer:

umm i believe it is positive 5

Step-by-step explanation:

i hope i helped

Answer:

(5x + 16) + 102 + 92 + 100 = 360

(5x + 16) + 294  = 360

-294                   -294

5x + 16 = 66

-16           -16

5x = 50

Divide by 5 on both sides.

x = 10 degrees

A quadrilateral will always equal 360 degrees

A triangle will always equal 180 degrees.

Answer:

1.   a = 32.96    m∠B = 21°   b = 12.74

2.   x = 24.99

Step-by-step explanation:

1.   Use the law of sines:

a/sin 112 = 26/sin 47

a = 26 sin 112/sin 47

a = 32.96

m∠B = 180 - 47 - 112 = 21°

b/sin 21 = 26/sin 47

b = 26 sin 21/sin 47

b = 12.74

2.   Use the law of cosines

[tex]x^{2} = 17^{2} + 11^{2} - 2(17)(11) cos 125[/tex]

    =  289 + 121 - 374 cos 125

    =  624.5175....

x =  [tex]\sqrt{624.5175...}[/tex]

 = 24.99

Answer:

f(5) = 30  so x=5

Step-by-step explanation:

We want to find the value of x which makes the y value of the function 30

Looking at the graph x=5 makes y=30

Answer:

85 cm

Step-by-step explanation:

Answer:

68 cm

Step-by-step explanation:

Use the following formula (Pythagorean Theorem) to solve for c:

[tex]c^{2}= \sqrt{(a^{2}) - (b^{2})[/tex]

Substitute values:

[tex]c^{2}= \sqrt{(77^{2}) - (36^{2})[/tex]

Simplify:

[tex]c^{2}= \sqrt{(5,929) - (1,296)}[/tex]

[tex]c^{2}= \sqrt{4633}[/tex]

c ≈ 68 (rounded from 68.07)

1.) Multiply Denominator:

9x3= 27

27 will be your new denominator for your answer.

then take 5 and multiply by 3.

5x3=15

then take 1 and multiply by 9.

1x9=9

Afterwards, you plus 15 and 9 to get 24.

so your fraction for the end will be 24/27.

Answer:

25/28 (Decimal: 0.892857 )

Branliest?

Answer:

[tex]\frac{25}{28}[/tex]

Step-by-step explanation:

Combine the fractions by finding a common denominator.

Answer:

1/w^6 or w^-6

Step-by-step explanation:

You add the two exponents

I recommend putting 1/w^6

Please mark brainliest

there would be 2  bags in there

Answer:

take out x+60 and = x+54 cross multiply for starters

Answer: 31.38

Step-by-step explanation:

you can always remember a*2+b*2=c*2

add/ multiply a and b to find c

Answer:

85 km

Step-by-step explanation:

Answer:

answers rounded to the nearest tens: 1730, 480, 4832720, and 130.

Answer:

19.47

Step-by-step explanation:

if the radius Is 1 and height is 5.1

Answer:

y=-1/2x-1

Step-by-step explanation:

Answer:

77.5°

Step-by-step explanation:

Recall that the sum of angles in a triangle is 180 degrees.

Given the triangle MNP with the measure of angle NPM is 80° and the measure of angle MNP is 22.5°

Then

angles NPM +  MNP + PMN  = 180 degrees

This means that

80 + 22.5 + PMN = 180

102.5 + PMN = 180

Collect like terms

PMN  = 180 - 102.5

= 77.5°.

Answer:

x = 80.96

Step-by-step explanation:

9x * 3x +1 = 2187

27x +1 = 2187

27x = 2187-1

27x = 2186

x = 2186/27 = 80.96(2dp)

Answer:

12x + 18y + 6z + 4x - 4z

Step-by-step explanation:

Given the expression : 3(4x + 6y + 2z) + 4(x – z)

To eliminate the parenthesis ; we use the distributive property :

3(4x + 6y + 2z) + 4(x – z) becomes ;

3*4x + 3*6y + 3*2z + 4*x + 4*-z

12x + 18y + 6z + 4x - 4z

Hence,

12x + 4x + 18y + 6z - 4z

16x + 18y + 2z