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Xelga [282]
1 year ago
15

Find the sum of the first 40 even positive integers.

Mathematics
1 answer:
Pachacha [2.7K]1 year ago
6 0

Answer:

1640

Step-by-step explanation:

Even, positive integers

2+4+6+8+10+12+14+16+18+20+22+24+26+28+30+32+34+36+38+40+42+44+46+48+50+52+54+56+58+60+62+64+66+68+70+72+74+76+78+80 = 1640

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Solve the inequality.<br> 3x + 5<br> ———- &lt;4<br> 2<br><br> x &lt; [?]
astra-53 [7]

Answer:

x \leqslant 1

Step-by-step explanation:

first multiply both side by 2 to get rid of the fraction

3x + 5 \leqslant 4(2)

3x + 5 \leqslant 8

3x \leqslant 8 - 5

3x \leqslant 3

x \leqslant 1

3 0
2 years ago
There are eight more girls than boys in the high school math club. the club has a total of 44 members. how many boys and how man
Diano4ka-milaya [45]
2x + 8 = 44

2x = 36

x = 18

There are 18 boys, and 26 girls

*Brainliest please ♡´・ᴗ・`♡
3 0
3 years ago
Read 2 more answers
Look at the triangular prism. Work out the volume of the prism.
xz_007 [3.2K]

Answer:

See explanation

Step-by-step explanation:

The question has missing details, as the diagram of the prism is not shown.

However, I'll solve using a general rule.

The volume of a triangular prism is:

Volume = \frac{1}{2}* b * h * l

Where

b = base

h = height

l = length

Take for instance:

b = 20cm

h = 10cm

l = 5cm

The volume is:

Volume = \frac{1}{2} * 20cm * 10cm * 5cm

Volume = 10cm * 10cm * 5cm

Volume = 500cm^3

Another instance (see attachment).

From the attachment:

b = 4.5cm

h = 5cm

l = 8cm

The volume is:

Volume = \frac{1}{2} * 4.5cm * 5cm * 8cm

Volume = 2.25cm * 5cm * 8cm

Volume = 90cm^3

7 0
2 years ago
An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 3.3
anyanavicka [17]

Answer:

n=465 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=3.3 represent the population standard deviation

Confidence =0.95 or 95%

Me= 0.3, represent the margion of error

n represent the sample size (variable of interest)

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =0.3 mm and we are interested in order to find the value of n, if we solve n from equation (4) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got z_{\alpha/2}=1.960, replacing into formula (b) we got:

n=(\frac{1.960(3.3)}{0.3})^2 =464.8336 \approx 465

So the answer for this case would be n=465 rounded up to the nearest integer

3 0
2 years ago
There are an infinite number of lines with slope of -3, as well as an infinite number of lines with y-intercept of 5. Part A: Li
Anastaziya [24]

Answer:

See below.

Step-by-step explanation:

<u>Part A:</u>

y = -3x + 2

y = -3x + 10

y = -3x

<u>Part B:</u>

y =  2x + 5

y = -3x + 5

y = -2x + 5

<u>Part C:</u>

y = -3x + 5

There can only be one line with this slope and intercept because the expression is very simple.  There are only two pieces of information that define a straight line:  slope and intercept.  There is nothing else that can be altered to impact the line.  

3 0
2 years ago
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