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3 years ago

larry claims that 14+12×8+12 and14×12+8×12 are equivalent because they have the same digits and the same operations

2 answers:

7 0

They are not the same because one they dont get the same answer and one of the signs are different so it has changed the answer

goldenfox [79]3 years ago

3 0

They are not the same because 14+12=26+8=34×12=168+340=408 and the other one is 14×12=28+140=768 and clearly they are not the same because 768 > 408

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The caffeine content (in mg) was examined for a random sample of 50 cups of black coffee dispensed by a new machine. The mean an

Genrish500 [490]

Answer:

We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 mg .

Step-by-step explanation:

Given -

The sample size is large then we can use central limit theorem

n = 50 ,

Standard deviation $(\sigma)$ = 7.1

Mean $\overline{(y)}$ = 110

$\alpha =$ 1 - confidence interval = 1 - .98 = .02

$z_{\frac{\alpha}{2}}$ = 2.33

98% confidence interval for the mean caffeine content for cups dispensed by the machine = $\overline{(y)}\pm z_{\frac{\alpha}{2}}\frac{\sigma}\sqrt{n}$

= $110\pm z_{.01}\frac{7.1}\sqrt{50}$

= $110\pm 2.33\frac{7.1}\sqrt{50}$

First we take + sign

$110 + 2.33\frac{7.1}\sqrt{50}$ = 112.34

now we take - sign

$110 - 2.33\frac{7.1}\sqrt{50}$ = 107.66

We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 .

5 0

3 years ago

I need help understanding how to answer this question:

Gnesinka [82]

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3 years ago

The straight line L has the equation 4y=5x+3

solniwko [45]

Answer:

y = -4/5x + 2/5

Step-by-step explanation:

$4y=5x+3\\write -in ; y=mx+b -form\\y = \frac{5}{4} x + \frac{3}{4} \\m = 5/4\\m_1m_2 = -1\\5/4m_2 =-1\\m_2 = -4/5\\ (3,-2)\\x = 3\\y = -2\\y = mx+b\\-2 = -\frac{4}{5}(3) +b\\-2 = -12/5 +b\\-2+12/5 = b\\2/5 = b\\m = -4/5\\Substitute -new-values-into-slope-intercept-form\\y = mx+b\\y = -4/5x + 2/5$

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3 years ago

Plot a point on the coordinate plane to represent each of the

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(1,4) you go right 1 time, and than go up 4.

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2 years ago

What number must you add to the expression below to complete the square? x^2-20x?

polet [3.4K]

We have that
x²<span>-20x
</span><span>Group terms that contain the same variable
</span>(x²-20x)
Complete the square
(x²-20x+10²)------> (x-10)²

the answer is
the number must be 100

5 0

3 years ago