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2 years ago

Click on the graph to choose the best match of the graphed quadratic equation. F(x) = x 2 + 4x

Mathematics

2 answers:

IceJOKER [234]2 years ago

8 0

Not completely sure what graph you are looking for but here is what I got, (-2,-15/4) hope this helps!

Inga [223]2 years ago

7 0

Direction: Opens Up

Vertex:

(−2,−4)

Focus:

(−2, −15/4)

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a survey amony freshman at a certain university revealed that the number of hours spent studying the week before final exams was

Marat540 [252]

Answer:

Probability that the average time spent studying for the sample was between 29 and 30 hours studying is 0.0321.

Step-by-step explanation:

We are given that the number of hours spent studying the week before final exams was normally distributed with mean 25 and standard deviation 15.

A sample of 36 students was selected.

<em>Let </em> $\bar X$ <em> = sample average time spent studying</em>

The z-score probability distribution for sample mean is given by;

Z = $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ ~ N(0,1)

where, $\mu$ = population mean hours spent studying = 25 hours

$\sigma$ = standard deviation = 15 hours

n = sample of students = 36

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the average time spent studying for the sample was between 29 and 30 hours studying is given by = P(29 hours < $\bar X$ < 30 hours)

P(29 hours < $\bar X$ < 30 hours) = P( $\bar X$ < 30 hours) - P( $\bar X$ $\leq$ 29 hours)

P( $\bar X$ < 30 hours) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ < $\frac{ 30-25}{\frac{15}{\sqrt{36} } }} }$ ) = P(Z < 2) = 0.97725

P( $\bar X$ $\leq$ 29 hours) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ $\leq$ $\frac{ 29-25}{\frac{15}{\sqrt{36} } }} }$ ) = P(Z $\leq$ 1.60) = 0.94520

<em>So, in the z table the P(Z </em> $\leq$ <em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2 and x = 1.60 in the z table which has an area of 0.97725 and 0.94520 respectively.</em>

Therefore, P(29 hours < $\bar X$ < 30 hours) = 0.97725 - 0.94520 = 0.0321

Hence, the probability that the average time spent studying for the sample was between 29 and 30 hours studying is 0.0321.

7 0

2 years ago

A group of friends are playing a trivia game. players spin a spinner 2 times to find the 2 categories of trivia questions they w

Delicious77 [7]

The probability that a player will be asked a math question and then a music question is 0.03125

<h3>How to determine the probability?</h3>

The size of the sections are given as:

Music = 0.5

Sport = 0.5

Others = 1

So, the total size is:

Total = 0.5 + 0.5 + 1 + 1 + 1

Evaluate

Total = 4

The probability of asking a math question is:

P(Math) = 1/4 = 0.25

The probability of asking a music question is:

P(Music) = 0.5/4 = 0.125

The required probability is:

P(Math and Music) = P(Math) * P(Music)

This gives

P(Math and Music) = 0.25 * 0.125

Evaluate

P(Math and Music) = 0.03125

Hence, the probability that a player will be asked a math question and then a music question is 0.03125

Read more about probability at:

brainly.com/question/25870256

#SPJ1

5 0

1 year ago

Help please answer really quick. I really need help. ( Math )

EleoNora [17]

Answer:

0.25 lbs

<h3>Explanation </h3>

You can translate the 1/2 a pound into 0.5lbs, which is equivalent. Then, this is the easier part. Sarah divides the clay into <u>t</u><u>w</u><u>o</u> equal pieces. This is asking you to halve 0.5lbs. The answer being 0.25lbs

5 0

2 years ago

In 2010, there were 12.4 million citizens of a certain country diagnosed with diabetes. This number of cases represents an incr

alukav5142 [94]

Answer:

3,131,313

Step-by-step explanation:

Let X represent the number of cases with diabetes in 1973.

An increase of 396% in diabetes cases in 1973 would be;

12.4 million = 396/100 × X

12.4 million = 396X/100

Cross multiply

12.4 million × 100 = 396X

X = [(12.4 million × 100) / 396]

X = 3,131,313

Therefore, the number of diabetes cases in 1973 is 3,131,313 cases

6 0

2 years ago

A spinner is divided into 4 sections. The spinner is spun 100 times. The probability distribution shows the results.

Vitek1552 [10]

P(1≤x≤3) defined the probability that the result is between 1 and 3, included. You can answer this question in two ways:

1. Sum the probabilities of good events:

From the graph, we have

$P(x=1) = 0.32,\quad P(x=2) = 0.24,\quad P(x=3) = 0.28$

So,

$P(1\leq x \leq 3) = 0.32+0.24+0.28 = 0.84$

2. Use complementary probabilities

Asking that the result is 1, 2 or 3 is the same as asking that the result is not 4. The probability that the result is 4 is 0.16, so the probability that the result is not 4 will be

$P(x\neq 4) = 1-P(x=4) = 1-0.16=0.84$

The result is obviously the same.

5 0

2 years ago

Read 2 more answers