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oee [108]
3 years ago
15

Write 4.1 x 10 to the fifth power in standard form

Mathematics
1 answer:
Fed [463]3 years ago
8 0
4.1 x 100000 = 410000
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A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name br
Marianna [84]

Answer:

<em>The calculated value  |Z| = |-2.5| >2.326 at 0.05 level of significance</em>

<em>The alternative hypothesis is accepted at a 0.05 level of significance</em>

The manager of  Publix in Clemson believes 64% is too high for his own store

Step-by-step explanation:

<u><em>Step:-1</em></u>

Given that the consumer Reports showed that 64% of supermarket shoppers.

Given that the population proportion

                                 P = 0.64

Given that random sample size 'n' = 100

Given that 52 believe the supermarket brands were as good as the national brands.

<em>sample proportion</em>

<em>                           </em>p^{-} = \frac{x}{n} = \frac{52}{100} = 0.52<em></em>

<u><em>Step:-2</em></u>

<u><em>Null hypothesis: </em></u>The manager of the Publix in Clemson believes 64% is too low for his own store

μ < 0.64

<u><em>Alternative Hypothesis:H₁:</em></u>μ > 0.64

Test statistic

               Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }

               Z = \frac{0.52-0.64}{\sqrt{\frac{0.64 X 0.36}{100} } }

              Z =  -2.5

<em>Level of significance = 0.05</em>

<em>Z₀.₀₅ = 2.326</em>

<em>The calculated value  |Z| = |-2.5| >2.326 at 0.05 level of significance</em>

<u><em>Final answer</em></u><em>:-</em>

<em>The null hypothesis is rejected at a 0.05 level of significance</em>

<em>The alternative hypothesis is accepted at a 0.05 level of significance</em>

3 0
3 years ago
What is the solution to 3|x + 3| = 12?
Neporo4naja [7]

Step-by-step explanation:

3(x+3)=12

3x+9=12

3x=12-9

3x=3

x=1

7 0
3 years ago
Please answer my question
Alja [10]
12x^4-4x/ 4
3x^4-x
X(3x^3-1)
Hope it’s help you
8 0
2 years ago
g Nationwide, a certain disease occurs only a small proportion of people (.000215). A certain town has 74,000 residents. Use the
Andrei [34K]

Answer:

The probability that the town has 30 or fewer residents with the illness = 0.00052.

Step-by-step explanation:

So, we have the following set of data or information or parameters given from the question above and they are; the number of people living in that particular society/community/town = 74,000 residents and the proportion of people that the diseases affected = .000215.

The first step to do is to determine the expected number of people with disease. Thus, the expected number of people with disease = 74,000 × .000215 = 15.91.

Hence, the probability that the town has 30 or fewer residents with the illness = 1.23 × 10^-7 × 15.91^30/ 2.65253 × 10^-32 = 0.00052.

Note the formula used in the calculating the probability that the town has 30 or fewer residents with the illness =  e^-λ × λ^x/ x!

8 0
3 years ago
In a histogram, are the lengths of the rectangles proportional to the width of the bars?​
Orlov [11]

Answer:

No

Step-by-step explanation:

In different scenarios, the data will be different. However, sometimes, it's impossible to draw a histogram with equal widths, so in order to maintain clarity and fairness, the area of the bars should actually be proportional to the frequency, which is usually the y-axis of the graph or height of the bars.

Hope this helps!

5 0
3 years ago
Read 2 more answers
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