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2 years ago

What is the approximate area of the figure that is shaded in blue below?

Mathematics

2 answers:

Aleks [24]2 years ago

8 0

Answer:

A: 48in2

Step-by-step explanation:

Area of a rectangle = Length x Width

The complete figure is rectangular in shape with:

Length = 11 in

Width = 5 in

Area = 11 x 5

Area = 55 in2

The pink part is triangular in shape with:

height = 4in

Base = 3.5 in

Area of a triangle = 0.5 x base x height

Area of the pink portion = 0.5 x 3.5 x 4

Area of the pink portion = 7 in2

Area of the blue portion = (total Area) - (Area of the pink portion)

Area of the blue portion = 55 in2 - 7 in2

Area of the blue portion = 48 in 2

Hope this help you!

padilas [110]2 years ago

4 0

I think the answer is : A. 48 in2

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Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace t

34kurt

Answer:

The probability is 0.0775

The expected value is 4.75 clubs

The standard deviation is 1.8875 clubs

Step-by-step explanation:

The variable X follows a binomial distribution, because we have n identical and independent events (19 cards) with a probability p of success and 1-p of fail (there is a probability of 1/4 to be club and 3/4 to be diamond, heart or spade). Then, the probability that x of the n cards are club is:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\P(x)=\frac{19!}{x!(19-x)!}*0.25^{x}*(0.75)^{19-x}$

So, the probability P of drawing at least 8 clubs is:

P = P(8) + P(9) + P(10) + ... + P(18) + P(19)

Replacing, the values of x, from 8 to 19, on the equation above, we get:

P = 0.0775

Additionally, the expected value E(x) and standard deviationS(x) for this distribution is given by:

E(x)=np = 19(0.25) = 4.75

$S(x)=\sqrt{np(1-p)} =\sqrt{19(0.25)(0.75)} =1.8875$

8 0

3 years ago

Which of the following represents 4x^5/6 in radical form

mash [69]

Remember, order of operations
exponent before multiply

so 4x^5/6=4 times x^5/6
simplify the x^5/6 first

remember
$x^\frac{m}{n}=\sqrt[n]{s^m}$

so
$x^\frac{5}{6}=\sqrt[6]{x^5}$

so
$4x^\frac{5}{6}=4\sqrt[6]{x^5}$
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3 years ago

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stellarik [79]

Answer: 23.4 is the answer

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2 years ago

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Lyrx [107]

Out of that particular list, the only description
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2 years ago

Change y-7=m(x-4) to standard form

Ivan

Answer:

mx -y = 4m -7

Step-by-step explanation:

Standard form is ...

ax +by = c

where a, b, c are mutually prime integers and a > 0.

If we assume m > 0, then we need to collect the variable terms on the right side of the equation, so the coefficient of x will be positive.

y -7 = mx -4m . . . . eliminate parentheses

-7 = mx -y -4m . . . . subtract y

4m -7 = mx -y . . . . . add 4m

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2 years ago