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1 year ago

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Customers at a candy store took a survey. The results showed that 126 customers preferred chocolate candy. This represented 35%

of the total number of customers who took the survey. How many customers took the survey?

2 answers:

erastovalidia [21]1 year ago

8 0

460 students I’m pretty sure

Zinaida [17]1 year ago

5 0

360 customers took the survey.

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All the fourth-graders in a certain elementary school took a standardized test. A total of 85% of the students were found to be

Aneli [31]

Answer:

There is a 2% probability that the student is proficient in neither reading nor mathematics.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a student is proficient in reading

B is the probability that a student is proficient in mathematics.

C is the probability that a student is proficient in neither reading nor mathematics.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a student is proficient in reading but not mathematics and $A \cap B$ is the probability that a student is proficient in both reading and mathematics.

By the same logic, we have that:

$B = b + (A \cap B)$

Either a student in proficient in at least one of reading or mathematics, or a student is proficient in neither of those. The sum of the probabilities of these events is decimal 1. So

$(A \cup B) + C = 1$

In which

$(A \cup B) = a + b + (A \cap B)$

65% were found to be proficient in both reading and mathematics.

This means that $A \cap B = 0.65$

78% were found to be proficient in mathematics

This means that $B = 0.78$

$B = b + (A \cap B)$

$0.78 = b + 0.65$

$b = 0.13$

85% of the students were found to be proficient in reading

This means that $A = 0.85$

$A = a + (A \cap B)$

$0.85 = a + 0.65$

$a = 0.20$

Proficient in at least one:

$(A \cup B) = a + b + (A \cap B) = 0.20 + 0.13 + 0.65 = 0.98$

What is the probability that the student is proficient in neither reading nor mathematics?

$(A \cup B) + C = 1$

$C = 1 - (A \cup B) = 1 - 0.98 = 0.02$

There is a 2% probability that the student is proficient in neither reading nor mathematics.

6 0

2 years ago

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 80 degrees at midnig

Vladimir [108]

Answer:

The equation is given by:

$D(t) = 80 + 9\sin{0.2618t}$

Step-by-step explanation:

Sine function:

Has the following format:

$y = A\sin{bx}$

In which A is the amplitude and $\frac{2\pi}{b}$ is the period.

Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 89 and 71 degrees

This means that the amplitude of the sinusoidal variation function is 89 - 80 = 80 - 71 = 9. This means that $A = 9$

During a 24-hour day, which means that the period is 24. So

$\frac{2\pi}{b} = 24$

$24b = 2\pi$

$b = \frac{2\pi}{24}$

$b = 0.2618$

So the variation is:

$V(t) = 9\sin{0.2618t}$

Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

Initial temperature of 80, so:

$D(t) = 80 + V(t) = 80 + 9\sin{0.2618t}$

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2 years ago

What is the slope of the linear equation below?

spayn [35]

Answer:

-5

Step-by-step explanation:

-5 is the slope because it is the multiplier of x

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2 years ago

The angles shown below are supplementary: A pair of supplementary angles is shown. One angle measures 10x and the other angle me

Rashid [163]

It is 12 because there are 180 degrees in a set of supplementary angles and 12 times 10 equals 120, plus 60 equals 180.

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3 years ago

Read 2 more answers

Help please and Explain properly with the terms: Corresponding angles and Parallel lines cut by a transversal and AA Criterion

yuradex [85]

Answer: are u still on it?

Step-by-step explanation:

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2 years ago