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Dennis_Churaev [7]
3 years ago
9

Helppp will brainlist 20 points :((((

Mathematics
1 answer:
makvit [3.9K]3 years ago
5 0

Answer:

30 I am pretty sure

Step-by-step explanation:

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the function y=-2(x-3)^2+4 shows the daily profit (in hundreds of dollars) of a hot dog stand, where x is the price of a hot dog
Roman55 [17]
X intercept would mean plug in 0 for Y.
Then finding the y intercept would mean X is 0. Your answer will be 69420
8 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
How do I solve this? I need help
Sedaia [141]
Answer: √51
—————————
a^2 + b^2 = c^2
a^2 + 7^2 = 10^2
a^2 + 49 = 100
a^2 = 51
√(a^2) = √51
a = √51
7 0
2 years ago
When adding 32.6 to a certain number, the sum is 36.14, as seen below. What number should go in the box to complete the addition
JulsSmile [24]
The answer would be 3.54
6 0
3 years ago
Read 2 more answers
Find the measure of ∠FEG.<br> A) 25° <br> B) 65° <br> C) 80° <br> D) 90°
MissTica

First, you have to set 5x equal to (3x+10). They are vertical angles and therefore congruent.

5x = 3x+10              The variable should only be on one side of the equation,

5x - 3x = 10             Therefore subtract 3x from both sides

2x = 10                     Divide by 2 on both sides.

x = 5


We're not done yet, since we've found the x-value we have to solve for ∠GEC.

∠GEC = 3x+10 = 3(5)+10 = 15+10 = 25°


∠GEC and ∠FEG form a right angle. This means that the sum of the two angles is 90°

90° = 25° + x            In this case, we're using "x" to solve for ∠FEG

90-25 = x                  We subtract 25 from both sides to get the variable by itself.

65° = x


<h2>∠FEG = 65°            The Answer is B</h2>
6 0
3 years ago
Read 2 more answers
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