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2 years ago

Convert from Decimal Notation to Scientific Notation

Mathematics

1 answer:

oee [108]2 years ago

3 0

Answer:

Hence, 3,40,000 can be expressed as $3.4\times10^5$

Step-by-step explanation:

Step 1 of 1

Consider 3,40,000

3.4

So, 3.4 lies between 1 & 10

Now, Decimal has moved 5 places to left.

$3.4=10^{5}$

So, 3,40,000= $3.4 \times 10^{5}$$

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A random sample of 100 observations from a quantitative population produced a sample mean of 22.8 and a sample standard deviatio

natima [27]

Answer:

We conclude that the population mean is 24.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 24

Sample mean, $\bar{x}$ = 22.8

Sample size, n = 100

Alpha, α = 0.05

Sample standard deviation, s = 8.3

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 24\\H_A: \mu \neq 24$

We use Two-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{22.8 - 24}{\frac{8.3}{\sqrt{100}} } = -1.44$

We calculate the p-value with the help of standard z table.

P-value = 0.1498

Since the p-value is greater than the significance level, we accept the null hypothesis. The population mean is 24.

Now, $z_{critical} \text{ at 0.05 level of significance } = \pm 1.96$

Since, the z-statistic lies in the acceptance region which is from -1.96 to +1.96, we accept the null hypothesis and conclude that the population mean is 24.

7 0

3 years ago

Answer this as soon as possible

kenny6666 [7]

Answer:

21+3t

If really want equation answer it would be -7 but it simplifying. :)

Step-by-step explanation:

6(4+t)-3(t+1)

Simplify parenthesis first.

24+6t-3t-3

Simplify like terms

24-3+6t-3t

21+3t

5 0

3 years ago

A store brought 9 cases of light bulbs in May and 8 cases in June. There are 48 light bulbs in a case. How many light bulbs did

UkoKoshka [18]

So the store bought 9 cases of lightbulbs and in a case, there are 48.
9 * 48 = the number of lightbulbs in the nine cases. 432 is the number of light bulbs in the 9 cases they bought in May. So then let's move on to the cases they bought in June. Do the same thing 8 * 48 is 384. So then add the two amounts together and then you will get 816 which will be your answer. I hope this helps!

5 0

3 years ago

Read 2 more answers

Help help help help math

lidiya [134]

Answer:

Step-by-step explanation:

2x+y

=2(2)+1

=4+1

3 0

2 years ago