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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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The formula for the area of a regular polygon is uppercase A = one-half a p. What is the equation solved for a?

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Answer:

D (A=24/d)

Step-by-step explanation:

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2 years ago

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Betsy can clean a b of the house in an hour. How long will it take her to clean the whole house?

kipiarov [429]

Answer:

$\frac{b}{a}$ is the total time taken to clean the house.

Step-by-step explanation:

Given that:

Betsy cleans $\frac{a}{b}$ of the house.

Time taken = 1 hour

To find:

Time taken to clean the whole house = ?

Solution:

We can use unitary method here to solve this problem.

We are given that $\frac{a}{b}$ of the house is cleaned in 1 hour.

We have to find that a total of 1 house will be cleaned in how much time.

(1 house because Betsy's house can be considered as a single unit).

To find this we will divide 1 hour with $\frac{a}{b}$ .

Now, Let us solve this mathematically:

$\frac{a}{b}$ of the house is cleaned in = 1 hour

1 of the house will be cleaned in = 1 hour divided by $\frac{a}{b}$

$\dfrac{1}{\dfrac{a}{b}}\ hours\\\Rightarrow \dfrac{1 \times b}{a}\ hours\\\Rightarrow \dfrac{b}{a}\ hours$

So, the <em>answer </em>is:

$\frac{b}{a}$ is the total time taken to clean the house.

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4 years ago

The ratio of tickets sold to see the incredible musical wicked to tickets sold to see Cats is 11 to 7 if there were 2700 total t

tia_tia [17]

Use algebra to set up 2 equations.

Assign c as number of tickets for CATS and w for number of tickets of WICKED

c + w = 2700

c / w = 7 / 11

Then solve for one of them in the first equation

c = 2700 - w

Then put this value for c into the 2nd equation

(2700 - w) / w = 7 / 11

Now cross multiply the numerator by denominator of both numerator and denominator pairs

7w = 11 x (2700 - w)
7w = 29700 - 11w

Now solve for w

7w = 26700 - 11w

Add +11w to both sides

18w = 29700

Now divide by 18 on both sides

w = 1650

Then c is the remainder of that ... 2700 - 1650 = 1050

You can also check because 7 / 11 = 1050 / 1650

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3 years ago

Please Helpppppppppp!!!!!!!!!!!!!!!

viktelen [127]

Answer:

122/3435.35/67

Step-by-step explanation:

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3 years ago

The total cost (in dollars) for a company to manufacture and sell x items per week is C=40x+180, whereas the revenue brought in

crimeas [40]

Answer:

The company needs to sell either 30 or 40 items.

Step-by-step explanation:

We are given that the cost for selling <em>x</em> items given by the function:

$C(x)=40x+180$

And the revenue for selling <em>x</em> items is given by:

$R(x)=68x-0.4x^2$

The profit function is the cost function subtracted from the revenue function:

$P(x)=R(x)-C(x)$

Substitute and simplify:

$\displaystyle \begin{aligned} P(x)&=(68x-0.4x^2)-(40x+180)\\&=68x-0.4x^2-40x-180\\&=-0.4x^2+28x-180\end{aligned}$

To find how many items must be sold in order to obtain a weekly profit of $300, we can let <em>P</em> equal 300 and solve for <em>x</em>. So:

$300=-0.4x^2+28x-180$

Solve for <em>x</em>. Subtract 300 from both sides:

$-0.4x^2+28x-480=0$

We can divide both sides by -0.4:

$x^2-70x+1200=0$

Factor:

$(x-40)(x-30)=0$

Zero Product Property:

$x-40=0\text{ or } x-30=0$

Solve for each case:

$x=40\text{ or } x=30$

So, in order to obtain a weekly profit of $300, the company need to sell either 30 <em>or</em> 40 items.

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3 years ago