The length of the den in Nellie's house is 18 feet. The area of the room is 216 square feet. How wide is the room?

Find the sum of ∑4/k=1 (-4k)

Annette [7]

Answer:

Hello,

Answer C: -40

Step-by-step explanation:

$\displaystyle \sum_{k=1}^4\ (-4k)\\\\=-4*\sum_{k=1}^4\ k\\\\=-4*4*\dfrac{1+4}{2} \\\\=-4*5*2\\\\=-40\\$

4 0

2 years ago

The fracture strength of tempered glass averages 14.1 (measured in thousands of pounds per square inch) and has standard deviati

ololo11 [35]

Answer:

0.15866 is the probability of the average fracture strength of selected 100 pieces of glasses that of exceed 14.3.

Step-by-step explanation:

Given that, the strength of a tempered(x) a glass has average 14.1 and has standard deviation 2.

$\mu_x=14.1$ , $\sigma_x=2$

n=number of selected pieces= 100.

The probability that the average fracture strength of 100 pieces of this glass exceed 14.3 is

$P(\overline X>14.3)=P(\frac{\overline X-\mu_x}{2/\sqrt n}>\frac{14.3-14.1}{2/\sqrt{100}})$

$=P(\overline X>1)$

$=1-P(\overline X\leq 1)$

= 1 - 0.84134

=0.15866.

3 0

2 years ago

The output of a process is stable and normally distributed. If the process mean equals 23.5, the percentage of output expected t

erastovalidia [21]

Answer:

Option a) 50% of output expected to be less than or equal to the mean.

Step-by-step explanation:

We are given the following in the question:

The output of a process is stable and normally distributed.

Mean = 23.5

We have to find the percentage of output expected to be less than or equal to the mean.

Mean of a normal distribution.

The mean of normal distribution divides the data into exactly two equal parts.

50% of data lies to the right of the mean.

50% of data lies to the right of the mean

Thus, by property of normal distribution 50% of output expected to be less than or equal to the mean.

6 0

3 years ago

Help me answer this please

nikitadnepr [17]

Answer:

x=115 y=65

Step-by-step explanation:

You get 115 for X because angle x is vertical to 115 degrees.

You get 65 because y is supplementary to x, and 180-65=115.

4 0

3 years ago

Read 2 more answers

Help me plz and explain your answer to me

Vlad1618 [11]

Answer:

$4.171\times10^6$

Step-by-step explanation:

Given:

First Number = 97

Second Number = $4.3\times10^4$

We need to find the product of two numbers in Scientific notation.

Product of two numbers means we need to multiply two number.

Also The proper format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is less than ten and is greater than or equal to one or, 1 ≤ |a| < 10. b is the power of 10 such that the scientific notation is mathematically equivalent to the original number.

Decimal points are moved until there is only one non-zero digit to the left of the decimal point. The decimal number results as a.

Number of decimal point moved needs to be counted. This number is b.

If decimal are moved to the left b is positive.

If decimal are moved to the right b is negative.

If decimal are not moved b = 0.

scientific notation of a number can be written as a x 10^b and read it as "a times 10 to the power of b."

Hence the product is;

$97\times4.3\times 10^4 = 417.1 \times 10^4$

Expressing in Scientific Notation form we get

$4.171 \times 10^6$

Hence the Answer is $4.171 \times 10^6$ .

3 0

2 years ago