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Artyom0805 [142]
3 years ago
12

The cost of a type of educational toy is expressed as y = 3x + 2. Find the rate of change.

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
6 0

Answer:

3

Step-by-step explanation:

<em>Rate of Change </em>is the same as <em>Slope</em><em>.</em><em> </em>According to the Slope-Intercept Formula, <em>y</em><em> </em><em>=</em><em> </em><em>mx</em><em> </em><em>+</em><em> </em><em>b</em><em>,</em><em> </em><em>m</em><em> </em>is the <em>Rate</em><em> </em><em>of</em><em> </em><em> </em><em>Change</em><em> </em>[<em>Slope</em>].

I am joyous to assist you anytime.

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Select the most accurate statement regarding the normal distribution. Group of answer choices It is always the appropriate distr
PSYCHO15rus [73]

Answer:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this question:

According to the empirical rule, 95% of the measures are within 2 standard deviations of the mean. So the correct statement is:

There is a 95% chance that values will be within ±2 standard deviations of the mean.

4 0
3 years ago
2. Stephen Curry's record during the 2017 – 2018 NBA final game is made up of 2-point shots and 3-points.
stiks02 [169]

Answer:

He made 7 3-point shots.

Step-by-step explanation:

x+y=19

2x+3y=45

y=19-x

2x+3*(19-x)=45

2x+57-3x=45

-x=45-57

-x=-12

x=12

y=19-12

y =7

3 0
3 years ago
Hi boys can you help me pls!!!!!!!
goblinko [34]

Answer: OPTION A.

Step-by-step explanation:

Given the following function:

h(x)=-\frac{1}{4}x^2+\frac{1}{2}x+\frac{1}{2}

You know that it represents the the height of the ball (in meters) when it is a distance "x" meters away from Rowan.

Since it is a Quadratic function its graph is parabola.

So, the maximum point of the graph modeling the height of the ball is the Vertex of the parabola.

You can find the x-coordinate of the Vertex with this formula:

x=\frac{-b}{2a}

In this case:

a=-\frac{1}{4}\\\\b=\frac{1}{2}

Then, substituting values, you get:

x=\frac{-\frac{1}{2}}{(2)(-\frac{1}{4}))}\\\\x=1

Finally, substitute the value of "x" into the function in order to get the y-coordinate of the Vertex:

h(1)=y=-\frac{1}{4}(1)^2+\frac{1}{2}(1)+\frac{1}{2}\\\\y=0.75

Therefore, you can conclude that:

<em> The maximum height of the ball is 0.75 of a meter, which occurs when it is approximately 1 meter away from Rowan.</em>

7 0
3 years ago
* WILL GIVE BRIANLIEST*(08.03)Consider the following set of equations:
cluponka [151]
The third choice is very useful. It's​ valid because two things that are both equal to 'y' are equal to each other, and it can be easily solved to find 'x'.
7 0
3 years ago
Read 2 more answers
A helicopter is hovering above a road at an altitude of 24 m. At a certain time, the distance
LuckyWell [14K]

Answer: 32.23°

Suppose the setpoint of a helicopter is A and that of a car is C and that of the road is B

The distance from the helicopter to the car and the road forms a right triangle

=> ΔABC is a right triangle at B

=> the angle of depression from  the helicopter from the car is ∠ACB

we have: ΔABC is a right triangle => sin ∠ACB = 24/45

=> m∠ACB = 32.23°

Step-by-step explanation:

5 0
2 years ago
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