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3 years ago

5

A teacher gave a 5-question multiple choice quiz. Each question had 4 choices to select from. If the a student completely guesse

d on every problem, what is the probability that they will have less than 3 correct answers?
A. 0.088

B. 0.264

C. 0.896

D. 0.984

1 answer:

Arturiano [62]3 years ago

4 0

I just did this problem, but I got it wrong. Soo I know its not A.

Step-by-step explanation:

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For the linear function (x)=7x-2, which of the following is true?

Volgvan

Answer:

Correct option is : 1) It has a slope of 7 and a y-intercept of -2.

Step-by-step explanation:

The given function is :

$f(x)=7x-2$ .....1

The general form of equation of a linear function is given by :

$y=mx+c\\$ .....2

where, y is the dependent variable, x is the independent variable, m is the slope of the function and c is the y-intercept.

On comparing equations 1 and 2, we get:

m = 7,c = -2

Thus, we can conclude that : Slope of equation is 7 and y-intercept is -2.

Thus, only option 1 satisfies the given solution.

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4 years ago

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3 years ago

20+20+20+20+20+10+5+5

Vaselesa [24]

the answer to this equation is 120

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3 years ago

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Are G and F mutually exclusive events? Explain. G and F are mutually exclusive because if you are not a finalist, then you canno

Alika [10]

Answer: G and F are mutually exclusive because they cannot occur together

Step-by-step explanation:

According to the definition of mutually exclusive events,

The events which can not occur together and probability of them occurring together is 0 are known as mutually exclusive events.

The first statement gives an implication that if one happens then other happens meaning they could both still happen so it is not true.

The second statement contradict the question about being mutually exclusive events.

The third statement also is a implication that if one event occurs then other does or does not occur.

The last statement is correct one that conforms with the question and obeys the definition of mutually exclusive events.

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3 years ago

An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. Th

Irina-Kira [14]

Given that the volume of the aquarium is 20m^3.

Volume = Area of Base x height

Area of Base = Volume / height = 20/h

Given that the aquarium has a square base.

Area of square = l^2

Thus, the length of the base of the aquarium is $\sqrt{area \ of \ base} = \sqrt{ \frac{20}{h} }$

The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.

Thus, the total perimeter of the frame is given by $8\sqrt{\frac{20}{h}}+4h= \sqrt{64\left(\frac{20}{h}\right)}+4h = \sqrt{\frac{1,280}{h}}+4h$

Area of the four side faces of the aquarium is 4 times the length of the base times the height = $4\times\sqrt{ \frac{20}{h} }\times h=\sqrt{16\left(\frac{20}{h}\right)h^2}=\sqrt{320h}$

Total area to be covered by grass is the base and the four side faces and is given by $\frac{20}{h}+\sqrt{320h}$

Cost of the entire metal frame = $7\left(\sqrt{\frac{1,280}{h}}+4h\right)= \sqrt{49\left(\frac{1,280}{h}\right)}+7(4h) = \sqrt{\frac{62,720}{h}}+28h$

Cost of the entire grass = $8\left(\frac{20}{h}+\sqrt{320h}\right)=\frac{160}{h}+\sqrt{64(320h)}=\frac{160}{h}+\sqrt{20,480h$

Therefore, total cost in terms of the height, h, is given by

$C=\sqrt{\frac{62,720}{h}}+28h+\frac{160}{h}+\sqrt{20,480h$

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4 years ago