A system of linear equations and the corresponding graph are shown below.

patsy can decorate 3 1/2 cupcakes in 1/4 hour at this rate how many cupcakes can patsy decorate in 1 hour

pogonyaev

Answer:

14 cupcakes per hour

Step-by-step explanation:3 1/2 or 3.5 times 4

3 0

2 years ago

A jar has 16 marbles, 10 green, 2 blue, 4 red. what is the probability of randomly choosing a red marble then without putting it

marta [7]

The probability of drawing a red marble and then a green marble is:

P = 1/6.

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

In the jar we have a total of 16 marbles, such that:

10 are green.
2 are blue
4 are red.

First, the probability of getting a red marble is give by the quotient between the number of red marbles and the total number of marbles:

p = 4/16 = 1/4

Now we need to draw a green one, the probability is computed in the same way, but this time there are 15 marbles, because we already took one.

q = 10/15

The joint probability (first drawing red, then green) is given by the product between the individual probabilities:

P = p*q = (1/4)*(10/15) = 10/60 = 1/6

If you want to learn more about probability:

brainly.com/question/25870256

#SPJ1

8 0

1 year ago

Write, in slope intercept form, the equation of the line that passes through (8, -9) and has a slope of -5/4.

dezoksy [38]

Answer:

The equation in the slope-intercept form will be:

$y=-\frac{5}{4}x+1$

Step-by-step explanation:

Given

slope = m = -5/4

point = (8, -9)

As we know that the equation of a line in point-slope form is

$y-y_1=m\left(x-x_1\right)$

substituting the values m = -5/4 and point = (8, -9)

$y-\left(-9\right)=\frac{-5}{4}\left(x-8\right)$

$y+9=\frac{-5}{4}\left(x-8\right)$

Writing the equation in slope-intercept form

$y=mx+b$

where m is the slope, and b is the y-intercept

so the equation of the line in slope-intercept form becomes

$y+9=\frac{-5}{4}\left(x-8\right)$

subtract 9 from both sides

$y+9-9=\frac{-5}{4}\left(x-8\right)-9$

$y=-\frac{5}{4}x+1$

Therefore, the equation in the slope-intercept form will be:

$y=-\frac{5}{4}x+1$

7 0

3 years ago

UCF is a major Metropolitan University located in Orlando Florida. UCF is advertising their bachelor in Economics with the stati

Arlecino [84]

Answer:

The claim is rejected

Step-by-step explanation:

Claim: UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13).

Null hypothesis: $H_0: \mu = 48500$

Alternate hypothesis : $H_a : \mu \neq 48500$

n = 50

Since n is more than 30 .

So we will use Z test

x=43350

Standard deviation = 15000

$Z=\frac{x-\mu}{\frac{s}{\sqrt{n}}}\\Z=\frac{43350-48500}{\frac{15000}{\sqrt{50}}}\\Z=-2.42$

Refer the z table

p value = 0.00776

$\alpha = 0.01$

p value < $\alpha$

So, We are failed to accept null hypothesis

Hence The claim is rejected

5 0

3 years ago

50 POINTS !!<br><br><br> PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Nataliya [291]

<h3>Answer: 9</h3>

========================================================

Work Shown:

Apply the pythagorean theorem

a^2 + b^2 = c^2

12^2 + b^2 = 15^2

144 + b^2 = 225

b^2 = 225-144

b^2 = 81

b = sqrt(81)

b = 9

5 0

3 years ago

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