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AleksAgata [21]
3 years ago
13

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

Mathematics
1 answer:
ankoles [38]3 years ago
3 0
355776 is the car traveled ok it must help u
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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 <em>X</em> = number of correct guesses.

All the questions are of true-false format.

The probability of getting a correct answer is, <em>p</em> = 0.50.

The total number of questions is, <em>n</em> = 10.

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

The probability mass function of <em>X</em> 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 <em>X</em>.

Consider the probability distribution attached below.

The value of <em>x</em> for which P (X ≤ x) is at least 0.95 is, <em>x</em> = 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
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