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3 years ago

Find the value of y in the formula y = 5a – 3b + c, if a = 12, b = 4, and c = 8. A. 64 B. 56 C. 40 D. 80

Mathematics

2 answers:

shtirl [24]3 years ago

5 0

Y = 5a – 3b + c

plug in given values
y = 5 (12) -3 (4) +8
y = 60 - 12 + 8 = 56

y = 56

Orlov [11]3 years ago

3 0

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Percentage grade averages were taken across all disciplines at a particular university, and the mean average was found to be 83.

Georgia [21]

Correct Ans:
Option A. 0.0100

Solution:
We are to find the probability that the class average for 10 selected classes is greater than 90. This involves the utilization of standard normal distribution.

First step will be to convert the given score into z score for given mean, standard deviation and sample size and then use that z score to find the said probability. So converting the value to z score:

$z-score= \frac{90-83.6}{ \frac{8.7}{ \sqrt{10} } } \\ \\ 
z-score =2.326$

So, 90 converted to z score for given data is 2.326. Now using the z-table we are to find the probability of z score to be greater than 2.326. The probability comes out to be 0.01.

Therefore, there is a 0.01 probability of the class average to be greater than 90 for the 10 classes.

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3 years ago

Find the x-intercepts of the parabola with vertex (1, -9) and y intercept at (0, -6).

Sergio [31]

Hello,

Equation is y=k(x-1)²-9
and when x=0,y=-6==>-6=k*1²-9==>k=3

y=3(x-1)²-9
when y=0, 3(x-1)²-9=0
==>(x-1-√3)(x-1+√3)=0
x-intercepts are (1+√3,0) and (1-√3,0)

Answer B.

3 0

3 years ago

Which of the following graphs model exponential functions? Select all that apply.

shusha [124]

The given graphs model exponential functions are a, b and c.

Option a, b and c are the correct answers.

To choose the graph.

<h3>What is exponential function?</h3>

A relation of the form y = ax, with the independent variable x ranging over the entire real number line as the exponent of a positive number a.

Given that:

The three graphs in the second picture are the graphs of exponential functions. You can detect it from the L shaped graphs.

The very first graph represents a linear function. A straight line always represents a linear function. In a Linear function, the change in the values of y is constant throughout in relative to change in x values.

Therefore, the given graphs a, b and c are the correct answers.

Learn more about exponential function here:

brainly.com/question/28189362

#SPJ1

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11 months ago

Mary's team scores 18 points in the first half and 7 points in the second half. Mary scored a total of 5 points. What fraction o

jek_recluse [69]

Answer:

.2 <em>or </em>1/5

Step-by-step explanation:

First, calculate the total points by adding the two half's totals together.

7 + 18 = 25

Now, divide the number of points Mary scored by the total.

5 / 25 = 1/5

7 0

3 years ago

The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 118 inches, find the

IgorLugansk [536]

We can set up the width a X and, from the description the length would be 3X-1. The perimeter of a rectangle is determined by 2XL + 2Xw. Plugging into the equation 2(3X-1) + 2(X) = 118. Next distribute to get 6X-2 + 2X = 118. Combine like terms to get 8X = 120. Divide by 8 to get X = 15. The width is 15. The length is 3(15)-1 or 44. 88 +30 = 118

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3 years ago