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Dovator [93]
3 years ago
11

At Josephine's birthday party, the guests ate 0.6 of the birthday cake. Josephine and her sister decided to eat 0.3 of what was

left over. How much of the original cake did Josephine and her sister eat?
Mathematics
2 answers:
Semenov [28]3 years ago
5 0

Answer:

0.4*0.3=0.12.

Step-by-step explanation:


dexar [7]3 years ago
5 0
Um I think it's 0.3 cause if you draw a circle representing the cake,you take put six pieces the guests took and how much her sister ate.but it will be 0
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A college counselor is interested in estimating how many credits a student typically enrolls in each semester. The counselor dec
Ket [755]

Answer:

(a) The usual load is not 13 credits.

(b) The probability that a a student at this college takes 16 or more credits is 0.1093.

Step-by-step explanation:

According to the Central limit theorem, if a large sample (<em>n</em> ≥ 30) is selected from an unknown population then the sampling distribution of sample mean follows a Normal distribution.

The information provided is:

Min.=8\\Q_{1}=13\\Median=14\\Mean=13.65\\SD=1.91\\Q_{3}=15\\Max.=18

The sample size is, <em>n</em> = 100.

The sample size is large enough for estimating the population mean from the sample mean and the population standard deviation from the sample standard deviation.

So,

\mu_{\bar x}=\bar x=13.65\\SE=\frac{s}{\sqrt{n}}=\frac{1.91}{\sqrt{100}}=0.191

(a)

The null hypothesis is:

<em>H</em>₀: The usual load is 13 credits, i.e. <em>μ</em> = 13.

Assume that the significance level of the test is, <em>α</em> = 0.05.

Construct a (1 - <em>α</em>) % confidence interval for population mean to check the claim.

The (1 - <em>α</em>) % confidence interval for population mean is given by:

CI=\bar x\pm z_{\alpha/2}\times SE

For 5% level of significance the two tailed critical value of <em>z</em> is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Construct the 95% confidence interval as follows:

CI=\bar x\pm z_{\alpha/2}\times SE\\=13.65\pm (1.96\times0.191)\\=13.65\pm0.3744\\=(13.2756, 14.0244)\\=(13.28, 14.02)

As the null value, <em>μ</em> = 13 is not included in the 95% confidence interval the null hypothesis will be rejected.

Thus, it can be concluded that the usual load is not 13 credits.

(b)

Compute the probability that a a student at this college takes 16 or more credits as follows:

P(X\geq 16)=P(\frac{X-\mu}{\sigma}\geq \frac{16-13.65}{1.91})\\=P(Z>1.23)\\=1-P(Z

Thus, the probability that a a student at this college takes 16 or more credits is 0.1093.

3 0
3 years ago
Read 2 more answers
8x - 60 less than or equal to 2 (5 - 3x)
MrRa [10]

Answer:

x less than or equal to 5

i think thats what u wanted

3 0
3 years ago
Help finish this please
ArbitrLikvidat [17]
French 156
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how we found out is by 360/60 to get 6 then 6 x 26 etc
8 0
3 years ago
Write the ratio in two other ways.<br><br> 2 to 3
maw [93]
2/3 
2:3
Hope this helps!
3 0
3 years ago
PLEASE HELP ASAP NO LINKS PLEASE A relationship between education and income is given in the table. Based on the data, how much
77julia77 [94]
I think it’s c because i did the same test so good luck
4 0
2 years ago
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