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3 years ago

Consider 7×10^3. Write a pattern to find the value of the expression

Mathematics

2 answers:

kkurt [141]3 years ago

5 0

Answer:

7*10*10*10 = 7000

7*10 = 70

70*10 = 700

700*10 = 7000

Step-by-step explanation:

The given expression is:

7*10^3

Here 10^3 means that 10 will be multiplied 3 times:

7*10*10*10 = 7000

How did we get 7000?

7*10*10*10 = 7000

7*10 = 70

70*10 = 700

700*10 = 7000

We can also say that there are 7 1000s in 7000....

Strike441 [17]3 years ago

5 0

Answer: Hi! the notation 7×10^3 means 7*10*10*10, where 3 is the exponent.

You can think this notation as how many zeros you can add to the left (or right if the exponent is negative) of a number.

so 7×10^3 has an exponent equal to 3, so you add 3 zeros and get : 7000.

if we do the multiplication, 7*10*10*10 = (7*10)*10*10 = 70*10*10 = (70*10)*10 = 700*10 = 7000.

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Gnoma [55]

12 x 12 = 144
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3 years ago

From a random sample of 41 teens, it is found that on average they spend 43.1 hours each week online with a population standard

Nadusha1986 [10]

Answer:

Step-by-step explanation:

We want to determine a 90% confidence interval for the mean amount of time that teens spend online each week.

Number of sample, n = 41

Mean, u = 43.1 hours

Standard deviation, s = 5.91 hours

For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean +/- z ×standard deviation/√n

It becomes

43.1 ± 1.645 × 5.91/√41

= 43.1 ± 1.645 × 0.923

= 43.1 ± 1.52

The lower end of the confidence interval is 43.1 - 1.52 =41.58

The upper end of the confidence interval is 43.1 + 1.52 =44.62

Therefore, with 90% confidence interval, the mean amount of time that teens spend online each week is between 41.58 and 44.62

8 0

3 years ago

A triangle is formed by the ordered pairs X(–5, 6), Y(7, 6), and Z(7, 2). If mX=18°, what is mZ?

Mamont248 [21]

Answer:

mZ is 72°

Step-by-step explanation:

The three points form a right triangle with a 90° angle at Y. Since a triangle has 180°, first subtract 180-90=90°. Next, subtract 90-18=72 because mX=18°. Therefore, mZ is 72°.

8 0

3 years ago

18. At the movie theater, the 7:00 showing sold 75% of the tickets available.

attashe74 [19]

Answer:

$\color{red}\rule{10pt}{10pt} \color{pink}\rule{10pt}{10pt}\color{yellow}\rule{10pt}{10pt}\color{blue}\rule{10pt}{10pt}\color{green}\rule{10pt}{10pt}\color{royalblue}\rule{10pt}{10pt}\color{black}\rule{10pt}{10pt}\color{white}\rule{10pt}{10pt}\color{purple}\rule{10pt}{10pt}\color{magenta}\rule{10pt}{10pt}\color{orange}\rule{10pt}{10pt}\color{brown}\rule{10pt}{10pt}\color{lime}\rule{10pt}{10pt}$

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3 years ago

The time needed to complete a final examination in a particular college course is normallydistributed with a mean of 80 minutes

Artist 52 [7]

Answer:

a) 0.023

b) 0.286

c) 10 students will be unable to complete the exam inthe allotted time.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 80 minutes

Standard Deviation, σ = 10 minutes

We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(completing the exam in one hour or less)

P(x < 60)

$P( x < 60) = P( z < \displaystyle\frac{60 - 80}{10}) = P(z < -2)$

Calculation the value from standard normal z table, we have,

$P(x < 60) =0.023= 2.3\%$

b) P(complete the exam in more than 60 minutes but less than 75 minutes)

$P(60 \leq x \leq 75) = P(\displaystyle\frac{60 - 80}{10} \leq z \leq \displaystyle\frac{75-80}{10}) = P(-2 \leq z \leq -0.5)\\\\= P(z \leq -0.5) - P(z < -2)\\= 0.309- 0.023 = 0.286= 28.6\%$