Diego's family spends $87 on 4 tickets to the fair and a $39 dinner.

1 answer:

6 0

Answer: b. Lin buys a pack of 87 pencils. She gives 39 to her teacher and shared the remaining pencils between herself and 3 friends.

Step-by-step explanation:

Lin buys 87 pencils which is why the entire number line adds up to 87.

She gave 39 of these pencils to her teacher which s why there is a section of the number line that is unlike the rest and is 39 in number.

The rest of the number line is a set of 4 spaces which are equal.

Lin shared the remaining pencils between herself and 3 friends which means she shared the pencils with 4 people. These four equal quantities of pencils are the 4 spaces.

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Based on the graph below, what is the solution of the equation f(x) = g(x)?

zloy xaker [14]

Answer:
x = −4 and x = 1

Explanation:
The two formula's given are:
f (x) = -x+0.5 and g (x) = x²+3x-4

By graphing the two in a graphing tool or graph paper we can find the solutions by looking at the points of intersection and taking the x values of those two points of intersection.

Looking at the graph below:
x=-4 and x=1 are the solutions to the problem.

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3 years ago

The time needed to complete a final examination in a particular college course is normallydistributed with a mean of 80 minutes

Artist 52 [7]

Answer:

a) 0.023

b) 0.286

c) 10 students will be unable to complete the exam inthe allotted time.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 80 minutes

Standard Deviation, σ = 10 minutes

We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(completing the exam in one hour or less)

P(x < 60)

$P( x < 60) = P( z < \displaystyle\frac{60 - 80}{10}) = P(z < -2)$

Calculation the value from standard normal z table, we have,

$P(x < 60) =0.023= 2.3\%$

b) P(complete the exam in more than 60 minutes but less than 75 minutes)

$P(60 \leq x \leq 75) = P(\displaystyle\frac{60 - 80}{10} \leq z \leq \displaystyle\frac{75-80}{10}) = P(-2 \leq z \leq -0.5)\\\\= P(z \leq -0.5) - P(z < -2)\\= 0.309- 0.023 = 0.286= 28.6\%$