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vichka [17]
3 years ago
12

On a horizontal number line, 6 is located to the of -4. So, -6 is than-4

Mathematics
1 answer:
bogdanovich [222]3 years ago
7 0

On a horizontal number line, -6 is located to the (left) of -4. So, -6 is (less than) 4.

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Find the sum of 46 + 42 + 38 + ... + (-446) + (-450)46+42+38+...+(−446)+(−450)
JulijaS [17]

sum of sequence Find the sum of 46 + 42 + 38 + ... + (-446) + (-450) is -25,250

<u>Step-by-step explanation:</u>

We need to find sum of sequence  : 46 + 42 + 38 + ... + (-446) + (-450)

Given sequence is an AP with following parameters as :

a=46\\d=42-46=-4

So , Let's calculate how many terms are there as :

⇒ a_n=a +(n-1)d

⇒ -450=46 +(n-1)(-4)

⇒ -496=(n-1)(-4)

⇒ \frac{-496}{-4}=n-1

⇒ 124=n-1

⇒ n=125

Sum of an AP is :

⇒ S_n = \frac{n}{2}(2a+(n-1)d)

⇒ S_1_2_5 = \frac{125}{2}(2(46)+(125-1)(-4))

⇒ S_1_2_5 = \frac{125}{2}(-404)

⇒ S_1_2_5 =-25,250

Therefore , sum of sequence Find the sum of 46 + 42 + 38 + ... + (-446) + (-450) is -25,250

3 0
3 years ago
Read 2 more answers
91403 divided by 21. Show work
My name is Ann [436]

Answer:

The given Divisor = 21 and Dividend = 91403

43522191403847463110105534211

The Quotient is 4352 and the Remainder is 11

8 0
2 years ago
Read 2 more answers
#1 #2 #3 &amp; #4 thank you
lubasha [3.4K]
I only (sort of) know 3 and 4

3. Andle 1 is an example of an angle bigger than
{90}^{o} c
I don't know what you call it.

4. If you have a straight line, both angles (or more) added up need to be
{180}^{o} c
so if angle 1 is 129, 180-129=51
angle 2 is
{51}^{o} c

If 1 is what is the relationship between the two angles, then maybe the answer is that they both added up need to be 180 degress (?)

And 2 is probably the same as 3 but with angle 2, angle two is an example of an angle smaller than 90 degrees
6 0
3 years ago
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In a manufacturing plant that produces new computers, a 0.15 probability exists that a computer will be defective. if five compu
Sindrei [870]

The probability that all of them will be defective is 0.0000759375

<em><u>Explanation</u></em>

The general <u>Binomial Probability</u> formula is....

P= ^nC_{r}*p^r*(1-p)^n^-^r, where p is the probability of success, n is the total number of trials and r is the desired numbers of trials.

Given, the probability that a computer will be defective is 0.15 , so p = 0.15

Five computers are manufactured and we need to find the probability that all of them will be defective. That means, n = 5 and r = 5

Now according to the above formula....

P= ^5C_{5}*(0.15)^5*(1-0.15)^5^-^5 \\ \\ P= 1*(0.15)^5* (0.85)^0\\ \\ P=(0.15)^5 =0.0000759375

So, the probability that all of them will be defective is 0.0000759375

7 0
3 years ago
Two last help with math please and thanks!
12345 [234]
1st problem:
Use the Pythagorean theorem:
a^2+b^2=c^2
49+361=c^2
c^2=410
c=20.24
The answer is 20m

2nd problem:
First calculate the height using the Pythagorean theorem:
a^2+b^2=c^2
20^2+b^2=625     (i got 20 {radius} by half-ing the base edge length)
400+b^2=625
b^2=225
b=15

Next, solve for the volume:
V=a^2*h/3
V=40^2*15/3
V=1600*5
V=8000

The answer is the second choice or B.

5 0
3 years ago
Read 2 more answers
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