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lidiya [134]
3 years ago
13

Peter is writing a number in scientific notation.The number is grater that ten million and less that one hundred million.Which e

xponent will peter use?
Mathematics
1 answer:
OLga [1]3 years ago
5 0

Answer:

M  =  a \times 10^7  where 1 < a ≤ 9

The EXPONENT USED BY PETER is 7 in all the possible cases.

Step-by-step explanation:

Let us assume the needed number is M.

Also, given:

The needed number is GREATER than 10 Million.

⇒ M  > 10 Million

⇒ M > 10,000,000

⇒ M > 1 \times 10^7  ...... (1)

The needed number is SMALLER than 100 Million.

⇒ M  <  100 Million

⇒ M < 100,000,000

⇒ M  <  1 \times 10^8  ...... (2)

Comparing (1) and (2) we can see that M can have more than 7 zeroes after 1 but LESS than 8 zeroes after 1.

So, the possible values of M can be:

M  =  a \times 10^7  where 1 < a ≤ 9

So, the EXPONENT USED BY PETER is 7 in all the possible cases.

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Answer:

D

Step-by-step explanation:

Current coordinate of R : ( 1,5 )

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applying dilation with scale factor of 3 , to apply dilation  multiply x and y values by scale factor which is 3

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2 years ago
Assume, for the sake of this question, that the data were collected through a well-designed, well-implemented random sampling me
amid [387]

Answer:

Since the pvalue of the test is 0.2743 > 0.1, the threshold probably was met.

Step-by-step explanation:

The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets.

This means that at the null hypothesis we test if the proportion is at least 60%, that is:

H_{0}: p \geq 0.6

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H_{a}: p < 0.6

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.6 is tested at the null hypothesis:

This means that:

\mu = 0.6

\sigma = \sqrt{0.6*0.4}

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This means that n = 575, X = \frac{338}{575} = 0.5878

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z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

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Looking at the z-table, z = -0.6 has a pvalue of 0.2743.

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3 0
3 years ago
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pickupchik [31]

Answer:

sin θ =  15/17

Step-by-step explanation:

First we have to know how much the hypotenuse measures.

to take out the hypotenuse we will use pitagoras, with the following formula.

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c1 = 8

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a: adjacent

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P(x)=x(2x+5)(x+1)What are the zeros of this polynomial
erastova [34]

Answer:

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x(2x+5)(×+1)=0

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5 0
2 years ago
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