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Answer:

Probability [Student wears contacts and has a car] = 0.1596

Step-by-step explanation:

Given:

Probability [Student in school wears contacts] = 0.38

Probability [Student in the same school has a car] = 0.42

Find:

Probability [Student wears contacts and has a car]

Computation:

P[A and B] = P(A) × P(B)

So,

Probability [Student wears contacts and has a car] = Probability [Student in school wears contacts] x Probability [Student in the same school has a car]

Probability [Student wears contacts and has a car] = 0.38 x 0.42

Probability [Student wears contacts and has a car] = 0.1596

Answer:

x= 7

Step-by-step explanation:

Midsegment theorem!

x+4 = 1/2 (4x-6)

The number of coloured papers as per the given problem is 18.

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

Given that,

The ratio of coloured papers to white papers is 3/8.

And, the number of white papers is 48.

Suppose, the number of coloured papers be x.

Then, as per the question the following equation can be obtained,

3/8 = x/48

=> x = 3/8 × 48

=> x = 18

Hence, the number of coloured papers is 18.

To know more about ratio and proportion click on,

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Area of this trapezoid is 264 unit²

Area: ½ x (sum of the lengths of the parallel sides) x perpendicular distance between parallel sides.

Given perpendicular distance as 12 and parallel sides as 20,24 units respectively.

Thus Area is (20+24 /2) ×12=264 units²

Hence, the Area of trapezoid is 264 unit²

Learn more about are of a trapezoid here:

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length = 6 x 1/3 = 2 inches

width = 4 x 1/3 = 4/3 inches

height = 8 x 1/3 = 8/3 inches

volume = lwh = 2 x 4/3 x 8/3 = 64/9 cubic inches

Another approach is the following:

There are 6 x 4 x 8 = 192 cubes inside the prism,.

Each cube has a volume of 1/27 cubic inches.

Therefore total volume = 192 x 1/27 = 192/27 = 64/9

Answer:

33464.25

Step-by-step explanation:

Using BODMAS : brackets, division, multiplication, addition

[tex]177\times ((177+(9-4+7)) +\frac{90}{8}\\\\177\times (177+12) +\frac{90}{8}\\\\177\times 189 +\frac{90}{8}\\\\\\177 \times 189 + 11.25\\\\33453 + 11.25\\\\33464.25[/tex]

Answer:

35444.25

Step-by-step explanation:

OFC by computing them

Answer:

2

Step-by-step explanation:

Answer:

2t

Step-by-step explanation:

3t-t is the same as 3-1, so it equals 2t

Answer: [tex]x=3.0206[/tex]

Step-by-step explanation:

Given

[tex]3(2^{2x}+3)-5(2^x+2)-156=0[/tex]

Replace [tex]2^x[/tex] by [tex]y[/tex]

We can write

[tex]\Rightarrow 3(y^2+3)-5(y+2)-156=0\\\Rightarrow 3y^2+9-5y-10-156=0\\\Rightarrow 3y^2-5y-157=0\\\\\Rightarrow y=\dfrac{5\pm \sqrt{25-4(3)(-157)}}{2\times 3}\\\\\Rightarrow y=\dfrac{5+43.69}{6}\\\\\Rightarrow y=8.115\\\Rightarrow 2^x=8.115\\\therefore \quad x=3.0206[/tex]

Answer:

50 cups

Step-by-step explanation:

ratio of water to juice = 10 : 6 = 5 : 3

amount of cup = (5 x 30) / 3 = 50

Answer:

-7

Step-by-step explanation:

Answer:

Simplify.

Rewrite the expression in the form z”. Z5 • Z6Simplify.

Rewrite the expression in the form z”. Z5 • Z6

Answer:

Simplify.

Rewrite the expression in the form z”. Z5 • Z6Simplify.

Rewrite the expression in the form z”. Z5 • Z6

answer: the answer is c

Answer:

Ok, we can define a function as a relation that maps elements from a set (the domain) into elements from another set (the range), such that each element in the domain can be mapped into only one element of the range.

2) Here you choose the autographed poster, and we know that each one of these costs $10.

So, if the artist sold x posters, then he/she would earn x times $10:

earnings =  $10*x

So we can create a function:

f(x)

such that f(x) represents the total earnings of the artist for selling x posters.

And we already know the equation for the earnings, so the function will be:

f(x) = $10*x

3) Now, it asks us if the values:

-2, -1, 0, and 1

be appropiate for the domain of the function.

Remember that x represents the number of posters that the artist sold.

Then, if we take x = -2 or x = -1 (like the first two given values) this would mean that the artist sold a negative number of posters, which has no real sense in the situation given. So we can conclude that these values should not be in the domain of the function.

For the other two cases, 0 and 1, these two can be in the domain, because these represent the case where the artist sold only one poster and the case where the artist did not sell any poster (that are two possible cases)

Answer:

Total Number of students taking Math and History and not music are 68.

Number of students who took both math and history at the same time is 6.

Step-by-step explanation:

History = 30

Math = 32

Music= 33

Math and Music= 9

History and Music= 13

History and Music and Math = 2

History but not math = 14

We have to find students taking history and math but not music.

Total number of students = 125

From the figure  number of students taking Math and History and not music are

=30+6+32= 68

Number of students who took both math and history at the same time is 6.

Answer:

x=18

Step-by-step explanation:

Both angles are supplementary angles and form 180

Set your formula up as following

(x-6) + (8x+24) = 180

x+8x-6+24=180

9x=180+6-24

9x=162

x=162/9

x=18

Now substitute 18 for x to get your angles and check your work .

Answer:

Step-by-step explanation:

Here,

3x - 5

There is 3 as coefficient of x and -5 constant.

Hence,

Option D is correct

Answer:

8.

[tex]8. - 1. - 44 [/tex]

9

Answer:

20

Step-by-step explanation:

Answer:

Step-by-step explanation:

WENEGADE WAIDER

[tex]36\pi cm {3}[/tex]

Given that : There are a total of 76 teachers and students watching a school play. There are 4 teachers and 40 girls.

Need to find : the ratio of boys to girls in lowest terms.

Firstly we need to find out the number of boys . For that subtract the number of teachers and girls from total number of teachers and students. That will be ,

[tex]\implies \sf n( boys) = 76 - 4 - 40 =\red{ 32 }[/tex]

Therefore our required ratio will be:-

[tex]\implies \sf 32 : 40 = \boxed{\sf 4:5 }[/tex]

Hence the required answer is 4:5 .

Answer:

See below

Step-by-step explanation:

This is a piece-wise function.

         4, -4≤ x ≤ -2

f(x) =  2,  -2 ≤ x < 2

        -3,  2 ≤ x ≤ 4

Answer:

which of what ?

and the equation is not right. I don't know what you mean.

do you mean x = sqrt(-2) ?

all I can tell you just based on that assumption is that you can transform that into

[tex]x = \sqrt{2} \times i[/tex]

you know,

[tex]i = \sqrt{ - 1} [/tex]

but what else you might need is completely unclear.

Answer: The function described in this scenario above is a “Growth Function”

Have a nice day!

Answer:

35 is the 'is' and 40 is the 'of'

Step-by-step explanation:

is/of = %/100

35/40 = x/100

cross-multiply to get:

40x = 3500

x = 3500/40

x = 87.5

~Refer to the attachment for the solution.

[tex] \to \bf { Sum = 3500 } [/tex]