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2 answers:
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Answer:
22.86 ml.
Step-by-step explanation:
Let x ml of 5% sulfuric solution must Molly add to 20ml of 20% solution to get a 12% solution.
Now, x ml of 5% sulfuric acid solution has pure acid of ml.
Again, 20 ml of 20% sulfuric acid solution has pure acid of ml.
Therefore, we can write the equation as
⇒ 0.05x + 4 = 2.4 + 0.12x
⇒ 0.07x = 1.6
⇒ x = 22.86 ml. (Answer) (Approximate value)
Answer:
We conclude that the population mean is not equal to 17.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 17
Sample mean, = 14.12
Sample size, n = 40
Alpha, α = 0.05
Population standard deviation, σ = 4
First, we design the null and the alternate hypothesis
We use Two-tailed z test to perform this hypothesis.
a) Formula:
Putting all the values, we have
b) P-value can be calculated from the standard z-table.
P-value = 0.0000
c) Since the p-value is less than the significance level, we reject the null hypothesis and accept the alternate hypothesis. Thus, the population mean is not equal to 17
d) Now,
e) Rejection Rule:
We reject the null hypothesis if it is less than lower critical value and greater than the upper critical value
If the z-statistic lies outside the acceptance region which is from -1.96 to +1.96, we reject the null hypothesis.
f) Since the calculated z-stat lies outside the acceptance region, we reject the null hypothesis and accept the alternate hypothesis. Thus, the population mean is not equal to 17.
We are given
Nancy bought an extra-large bag of 1,288 beads to make necklaces
When she got home, she found another bag with 784 beads in it
so, total number of beads =1288+784
total number of beads =2072
now, we have
For one necklace , 56 beads are required
so, 56 beads = 1 necklace
for 2072 beads
so,
number of necklaces she can make is 37..........Answer