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Klio2033 [76]
3 years ago
6

The number $12345678910111213..........979899 consists of all the integers from 1 through 99 written back to back. That's a very

big number! Is it a multiple of 9?
Mathematics
1 answer:
matrenka [14]3 years ago
6 0
No. I don't think so. Sorry if I am wrong
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Find the value of x<br> 2x + 46 = 7x + 6
maria [59]

Answer:

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6 0
3 years ago
Read 2 more answers
I’m another normally distributed test score is 80 and the standard deviations is 10. How common are values in the less than 60?
lord [1]

Answer:

<em>The probability of obtaining a score less than 60 is 2.28% </em>

<em>It happens 2 out of 100 times.</em>

Step-by-step explanation:

If the mean μ = 80 and the standard deviation σ = 10, then we need to find the probability that an X value is less than 60.

Then we find

P(X

To find this probability we use the Z statistic.

Z = \frac{X- \mu}{\sigma}

P(\frac{X- \mu}{\sigma}

P(Z

This is the same as

P(Z> 2)

We look for this value in the table for the normal distribution of right queue and we have:

P(X  2) = 0.02275

<em>The probability of obtaining a score less than 60 is 2.28% </em>

<em>It happens 2 out of 100 times.</em>

6 0
3 years ago
If (2 − 3i) + (x + yi) = 6, what is x + yi?
Andrew [12]
(2 - 3i) + ( x + yi) = 6
(x + yi) = 6 - (2 - 3i)
Distribute the - to the 2 - 3i and get
x + yi = 6 - 2 + 3i
Accumulate like terms.
x + yi = 4 + 3i. Answer
5 0
3 years ago
A rectangle has a length of 34 inches less than 5 times it’s width. If the area of the rectangle is 867 square inches, find the
pshichka [43]

Length of the rectangle is 51 inches

<u>Solution:</u>

Given that

Length of the rectangle in 34 miles less than 5 times its width

Area of rectangle = 867 square inches

Need to determine length of the rectangle.

Let assume width of the rectangle be represented by variable x.

So 5 times width of the rectangle =5x

34 inches less than 5 times width of the rectangle = 5x – 34

As Length of the rectangle in 34 miles less than 5 times its width

=> Length of the rectangle = 5x – 34

<em><u>The formula for rectangle is given as:</u></em>

\text { area of rectangle }=length \times width

As given that Area of rectangle = 867 square inches

\begin{array}{l}{=>867=(5 x-34) \times(x)} \\\\ {=>5 x^{2}-34 x-867=0}\end{array}

On solving quadratic equation by using quadratic formula

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

In our case a = 5, b = -34 and c = -867

On substituting value of a, b and c in quadratic formula we get

\begin{array}{l}{x=\frac{-(-34) \pm \sqrt{(-34)^{2}-4 \times 5 \times(-867)}}{2 \times 5}} \\\\ {=>x=\frac{34 \pm \sqrt{18496}}{10}=\frac{34+136}{10}} \\\\ {=>x=\frac{34+136}{10}=17 \text { or } x=\frac{34-136}{10}=-10.2}\end{array}

Since x represents width, it cannot be negative, so x = 17

Length of the rectangle = 5x – 34 = 5(17) – 34 = 51

Hence length of the rectangle is 51 inches

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3 years ago
MN bisects PQ at point R. Which of the following is true about point R?
FrozenT [24]
The correct answer for this would be B
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