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kompoz [17]
3 years ago
11

Each cupcake costs $4.00 how many cupcakes (x) are purchased if the total cost is $36.00

Mathematics
2 answers:
trasher [3.6K]3 years ago
5 0
1 cup cake = $4.00
x = $36.00

$36.00 ÷ $4.00
= 9 cup cakes
vovikov84 [41]3 years ago
4 0
9 cupcakes were purchased.
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3 years ago
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
3 years ago
Dalia saved $3000 last year. She said $600 in the month of January. What percent of the total amount of money she saved last yea
Anni [7]
1. We assume, that the number 3000 is 100% - because it's the output value of the task. 
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 100% equals 3000, so we can write it down as 100%=3000. </span>
<span>4. We know, that x% equals 600 of the output value, so we can write it down as x%=600. </span>
5. Now we have two simple equations:
1) 100%=3000
2) x%=600
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=3000/600
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 600 is what percent of 3000

100%/x%=3000/600
<span>(100/x)*x=(3000/600)*x       - </span>we multiply both sides of the equation by x
<span>100=5*x       - </span>we divide both sides of the equation by (5) to get x
<span>100/5=x </span>
<span>20=x </span>
<span>x=20
So 600 is 20% of 3000</span>
7 0
3 years ago
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