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Serga [27]
3 years ago
12

40•1/5•3+8÷2Simplify the Expression

Mathematics
1 answer:
SpyIntel [72]3 years ago
7 0
The solution simplified is 28. If you ever need a quick answer and don't want to wait for someone on here to reply, go to one or both of these two websites, Mathway(.com) or cymath (.com)

Hope this helps!
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Anjali's Bikes rents bikes for $15.24 plus $2.61 per hour. Kathryn paid $30.90 to rent a bike. For how many hours did she rent t
tensa zangetsu [6.8K]
Kathryn rented the bike for about 1.7 hours.
7 0
3 years ago
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What is the y-intercept of the line described by the equation y= 7x+4
Eddi Din [679]
The slope-intercept form: y = mx + b

m - the slope
b - the y-intercept

y = 7x + 4

Answer: The y-intercept b = 4 ⇒ (0; 4)
6 0
3 years ago
Test scores of the student in a school are normally distributed mean 85 standard deviation 3 points. What's the probability that
Mrrafil [7]

Answer:

The probability that a random selected student score is greater than 76 is \\ P(x>76) = 0.99865.

Step-by-step explanation:

The Normally distributed data are described by the normal distribution. This distribution is determined by two <em>parameters</em>, the <em>population mean</em> \\ \mu and the <em>population standard deviation</em> \\ \sigma.

To determine probabilities for the normal distribution, we can use <em>the standard normal distribution</em>, whose parameters' values are \\ \mu = 0 and \\ \sigma = 1. However, we need to "transform" the raw score, in this case <em>x</em> = 76, to a z-score. To achieve this we use the next formula:

\\ z = \frac{x - \mu}{\sigma} [1]

And for the latter, we have all the required information to obtain <em>z</em>. With this, we obtain a value that represent the distance from the population mean in standard deviations units.

<h3>The probability that a randomly selected student score is greater than 76</h3>

To obtain this probability, we can proceed as follows:

First: obtain the z-score for the raw score x = 76.

We know that:

\\ \mu = 85

\\ \sigma = 3

\\ x = 76

From equation [1], we have:

\\ z = \frac{76 - 85}{3}

Then

\\ z = \frac{-9}{3}

\\ z = -3

Second: Interpretation of the previous result.

In this case, the value is <em>three</em> (3) <em>standard deviations</em> <em>below</em> the population mean. In other words, the standard value for x = 76 is z = -3. So, we need to find P(x>76) or P(x>-3).

With this value of \\ z = -3, we can obtain this probability consulting <em>the cumulative standard normal distribution, </em>available in any Statistics book or on the internet.

Third: Determination of the probability P(x>76) or P(x>-3).

Most of the time, the values for the <em>cumulative standard normal distribution</em> are for positive values of z. Fortunately, since the normal distributions are <em>symmetrical</em>, we can find the probability of a negative z having into account that (for this case):

\\ P(z>-3) = 1 - P(z>3) = P(z

Then

Consulting a <em>cumulative standard normal table</em>, we have that the cumulative probability for a value below than three (3) standard deviations is:

\\ P(z

Thus, "the probability that a random selected student score is greater than 76" for this case (that is, \\ \mu = 85 and \\ \sigma = 3) is \\ P(x>76) = P(z>-3) = P(z.

As a conclusion, more than 99.865% of the values of this distribution are above (greater than) x = 76.

<em>We can see below a graph showing this probability.</em>

As a complement note, we can also say that:

\\ P(z3)

\\ P(z3)

Which is the case for the probability below z = -3 [P(z<-3)], a very low probability (and a very small area at the left of the distribution).

5 0
3 years ago
What is Number 13 plss I need answer ASAP
Sergeu [11.5K]

Answer:

Step-by-step explanation:

As you can see, she bought 8 muffins and 2 of them were apple, and the other 2 were banana.

( The rest were blueberry )

Since her family ate the APPLE and BANANA muffins, it's asking you to find the FRACTION of the muffins they ate. So 4 banana and apple muffins outta 3 varieties ( Total 8 muffins )  and 4 blueberry left.

So it's like 4 outta 8

idk I think im wrong :,U

3 0
3 years ago
47. Dave deposits 9818 in a bank for one year. If the interest rate is 9% p.a:
Olegator [25]

Answer:

The interest is $883.62 and the amount is $10701.62.

Step-by-step explanation:

Find the interest =

=9818 x 0.09 x 1

=883.62.

Since P = $9818 and I = $883.62 we have,

Find the Amount=

=9818+883.62

=10701.62..

3 0
2 years ago
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