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Shalnov [3]
3 years ago
13

a baker cut a pie in half. he cut each half into 3 equal pieces and each piece into 2 equal slices. he sold 6 slices. what fract

ion of the pie did the baker sell

Mathematics
2 answers:
solong [7]3 years ago
6 0
You first solve to see how many slices there are: 2*3*2=12

Then you see how much he sold out of the total: \frac{6}{12} =  \frac{1}{2}

Makovka662 [10]3 years ago
3 0
So you basically subtract 6 from 12 then but 6 over 12 as a fraction

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Batteries produced by a manufacturing company have had a life expectancy of 135 hours. Because of an improved production process
Nikolay [14]

Answer:  c. z = 1.35; Reject the null hypothesis

Step-by-step explanation:

Let \mu be the average life expectancy of its batteries.

As per given , we have

Null hypothesis : H_0 : \mu =135

Alternative hypothesis : H_a : \mu >135

Since H_a is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Test statistic : \dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overlien{x}= sample mean

\mu= Population mean

\sigma=population standard deviation

For n=42,\ \overline{x}=140\ \&\ \sigma=24, we have

z=\dfrac{140-135}{\dfrac{24}{\sqrt{42}}}=1.35015431217\approx1.35

Critical one-tailed test value for 0.10 significance level :

z_{0.1}=1.28

 Decision : Since critical z value (1.28) < test statistic (1.35), so we reject the null hypothesis .

[When critical value is less than the test statistic value , we reject the null hypothesis .]

5 0
2 years ago
In what temperature range can mercury be found as a liquid
Varvara68 [4.7K]
Some metals melt at lower temps than others. Tin becomes liquid at 231.8˚C (447.8˚F); at the other end of the spectrum, tungsten has the highest melting point of any metal: 3,422˚C (6,192˚F). Somewhere in the middle is mercury, which stays in a liquid state until its temperature drops to -40.
4 0
2 years ago
Helppp has me please i don’t understand i can’t get anymore wrong please save me
Akimi4 [234]
Every day she  spends 35 euros

she had 315+35=350 euros
4 0
2 years ago
Read 2 more answers
Write an equation for the line that is parallel to y = 2x + 6 and passes through (-1,5).
Fantom [35]

Answer:

y=2x+7

Step-by-step explanation:

A linear equation is typically organized in the form y=mx+b, where m is the slope of the line and b is the y-intercept (the y-coordinate of the point on the line that crosses the y-axis).

Parallel lines <em>always</em> have the same slope. When we examine the given equation, y=2x+6, we can identify immediately that 2 is in the place of m, the slope. This means that the slope of the line we're trying to solve for is also 2. So far, our equation looks like this:

y=2x+b

The last thing we need to calculate is b, the y-intercept. We can do this by plugging in the given point (-1,5) as x and y.

y=2x+b

5=2(-1)+b

5=-2+b

Add 2 to both sides to isolate b

5+2=-2+b+2

7=b

Now that we know b, we plug that into our original equation and now we have a final equation of:

y=2x+7

I hope this helps!

6 0
3 years ago
Could someone help plz
Murrr4er [49]
I think compatible numbers
4 0
3 years ago
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