The graph shows the distance traveled by a car as a function of time.

A literature professor decides to give a 10-questiontrue-false quiz to determine who has read an as-signed novel. She wants to c

Darya [45]

Answer:

The teacher should set the score 7 as the lowest passing grade.

Step-by-step explanation:

Let X = number of correct guesses.

All the questions are of true-false format.

The probability of getting a correct answer is, p = 0.50.

The total number of questions is, n = 10.

The random variable X follows a Binomial distribution with parameters n = 10 and p = 0.50.

The probability mass function of X is:

$P(X=x)={10\chose x}0.50^{x}(1-0.50)^{10-x};\ x=0,1,2,3...$

Now the teaches chose the grading scheme such that the probability of passing a student who guesses on every question is less than 0.05.

Then the probability of failing such a students is at least 1 - 0.05 = 0.95.

Compute the probability distribution of X.

Consider the probability distribution attached below.

The value of x for which P (X ≤ x) is at least 0.95 is, x = 7.

So the teacher should set the score 7 as the lowest passing grade.

7 0

3 years ago

An art club sells 42 large candles and 56 small candles.

Blizzard [7]

Answer:

378$

Step-by-step explanation:

3 0

3 years ago

The sum of a number and forty-six

ad-work [718]

$\textsf{Hey there!}$

$\mathsf{\star \ The\ sum\ of\ a\ number\ \&\ forty-six}$

$\frak{Let's\ lable\ the\ keypoints\ so\ it\ can\ be\ easier\ to\ solve}$

$\bullet \ \textsf{The word \bf{\underline{SUM}}}\textsf{\ means\ add/addition}}$

$\bullet\textsf{ \underline{"A number"} is an unknown number so we can lable it as \bf{x}}$

$\bullet\textsf{ \underline{forty-six} is 46}$

$\textsf{The sum (+) does in the middle while \underline{x} \& \underline{46} will either be on left/right}$

$- \ \textsf{We can say that x is on your left}$

$-\ \textsf{ + can be in your middle}$

$- \ \textsf{\& lastly 46 can be on your right}$

$\boxed{\textsf{Thus, your answer SHOULD LOOK like: \boxed{\huge\text{\bf{x + 46}}}}}\checkmark$

$\textsf{Good luck on your assignment and enjoy your day!}$

~ $\frak{LoveYourselfFirst:)}$

4 0

3 years ago

Chad cycled 62.3 miles in 3.5 hours. if he cycled at a constant speed , how far did he cycle in 1 hour

Alenkasestr [34]

To find how many miles he went in 1 hour, divide 62.3 by 3.5.

62.3 / 3.5 = 17.8

5 0

3 years ago

Read 2 more answers

The cost of an uber ride, y, based on miles, x is represented by y = 2/3x + 4. How much does a 21-mile ride cost ?

dangina [55]

Answer:

Step-by-step explanation:

Let the cost of the Uber ride be represented by y in dollars.

Let the number of miles that the Uber rides be represented by x.

The equation relating x and y is expressed as

y = 2/3x + 4.

This is a slope intercept form equation. The slope is 2/3 and it represents the cost per mile.

The cost of a 21 mile ride will be

Substituting x = 21 into the given equation, it becomes

y = 2/3 × 21 + 4 = 14 + 4 = 18

The 21 mile ride costs $18

Part B) The $46 ride will cost

Substituting y = 46 into the given equation, it becomes

46 = 2x/3 + 4 =

46 - 4 = 2x/3

42 = 2x/3

2x = 42 × 3 = 126

x = 126/2 = 63

The $46 ride will be 63 miles

6 0

3 years ago