There are 10 multiple-choice questions on a math quiz. Each question has four answer choices with one correctanswer. Let X represent the number of questions answered correctly for a student who is randomly guessing each
answer choice.
Have the conditions for a binomial setting been met for this scenario?
O No, the order of the questions is unknown.
O Yes, all four conditions in BINS have been met.
O No, the answers are not independent of one another.
O No, we do not know how many quizzes this teacher will give.
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Answers

Answer 1

Answer:

B.) Yes, all four conditions in BINS have been met.

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A company is considering a new manufacturing process. It knows that the rate of savings (in dollars per year) from the process will be about S(t) = 5000(t + 3), where t is the number of years the process has been in use. Find the total savings during the first year. Find the total savings during the first 5 years. The total savings during the first year is __________

A shipment of beach balls with a mean diameter of 28 cm and a standard deviation of 1.3 cm is normally distributed. By how many standard deviations does a beach ball with a diameter of 26.7 cm differ from the mean?a. 1

b. 1.3

c. 2

d. 3

Answers

Answer: a. 1

Step-by-step explanation:

Given : Population mean : $\mu=28\ cm$

Standard deviation : $\sigma=1.3\ cm$

Let n be the number of times a beach ball with a diameter of 26.7 cm differ from the mean.

Then, we have

$28-n(1.3)=26.7\n\n\Rightarrow\ 1.3n=28-26.7\n\n\Rightarrow\ 1.3 n=1.3\n\n\Rightarrow\ n=1$

Hence, a beach ball with a diameter of 26.7 cm is 1 standard deviation differ from the mean.

Perform the following calculation: (+10) + (–45). A. 55 B. –55 C. –35 D. 35

Answers

Answer:

Option C - $(+10) + (-45)=-35$

Step-by-step explanation:

Given : Expression $(+10) + (-45)$

To find : Perform the calculation in the given expression ?

Solution :

Step 1 - Write the expression

$=(+10) + (-45)$

Step 2 - Applying multiplication symbol rule, $(+)(-)=(-)$

$=10-45$

Step 3 - Solve the subtraction,

$=-35$

Therefore, Option C is correct $(+10) + (-45)=-35$

Find the prime factorization of
72

Answers

Answer:

72 = {2,2,2,3,3}

Step-by-step explanation:

2433

6.2.Find the triangle bounded by the y-axis the line f(x)=9- 6/7x and the line perpendicular to it that passes through the origin

Answers

First.

We need to find the triangle bounded by the y-axis the line $f(x)=9-(6)/(7)x$ and the line perpendicular to it that passes through the origin.

This triangle is illustrated in the First Figure bellow. The triangle has been dotted with black dots. So, let's identify each part of this graph:

The y-axis has been identified by the green line.
The line $f(x)=9-(6)/(7)x$ has been identified by the red line.
To plot the line perpendicular to the previous one that passes through the origin, we need to know that the product of the slopes of two perpendicular lines is $m_(1)m_(2)=-1 \therefore Since \ m_(1)=-(6)/(7) \ then \ m_(2)=(7)/(6)$

Therefore, this line is the blue one and is written as:

$f(x)=(7)/(6)x$

Second.

a.

To find $y(t)$ we need to find the slope and y-intercept. So, taking two points:

$P_(1)(15,150) \ and \ P_(2)(25,450) \n \nm=(450-150)/(25-15)=30$

So:

$Using \ P_(1)(15,150) \n\ny=30t+b\n\n150=30(15)+b \therefore b=-300 \n\n\boxed{y(t)=30t-300}$

Third.

b.

The y-intercept is $b=-300$ and has been calculated above. This value represents the profit in thousands of dollars in 1980, that is, there is no any profit or there is a lost of $300.000.

Fourth.

c.

The x-intercept can be found when y=0 (year 1980), that is:

$y(t)=30t-300 \n\n0=30t-300 \therefore t=10$

This value shows that there is no any profit for the company at the year that represents t=10 (year 1990), because at this point the company starts earning money.