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3 years ago

Someone help please!

Mathematics

2 answers:

DiKsa [7]3 years ago

5 0

LN is 180 degrees

180 - 41 = x

x = 139 degrees

hope this helps

Sergio039 [100]3 years ago

5 0

180-41=139..........

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I need to know if these answers are correct or not...

AlladinOne [14]

1. Let the four consecutive numbers be x, x+1, x+2, x+3

The sum of four consecutive number is already given to us = 70

Therefore

⇒(x)+(x+1)+(x+2)+(x+3)=70

We need to combine x as we have four x terms in the equation. The next step is to get all of the x’s on one side of the equation and all the numbers on the other side. The same rule applies – whatever you do to one side of the equation, you must do to the other side as well!

⇒4x+6=70⇒4x=64⇒x=16

So, the four numbers are 16, 17, 18 and 19.

Hence, the greatest number among them is 19.

4 0

3 years ago

This is a test so it would be great if you could help! I suck at math lol

inna [77]

Answer:

3/2

Step-by-step explanation:

Order y pairs, you could do x pair if u wanted.

(9,3,3)

(6,2,2)

If u divided 9/6 it gives you 3/2 same with the other two pairs.

6 0

3 years ago

Paul has $20,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 8% interest

hjlf

Answer:

In the 8% option , $5,000 should be invested

In the 12% option, $15,000 should be invested

Step-by-step explanation:

Let’s start with the total return.

Since the total return expected is 11%, the amount expected to be returned will be;

11/100 * 20,000 = $2,200

Now, let the amount invested at 8% interest be $x while the amount invested at 12% interest be $y

Mathematically;

x + y = 20,000 ••••••(i)

Now let’s work with the interest part;

On the 8% part, amount of interest expected is 8/100 * x

on the 12% part, amount of interest expected is 12/100 * x

8% of $x + 12% of $y = 2,200

Writing this fully mathematically, we have;

(8/100 * x) + (12/100 * y) = 2,200

8x/100 + 12y/100 = 2,200

Multiply through by 100

8x + 12y = 220,000 ••••••(ii)

Now we have two equations to solve simultaneously;

x + y = 20,000

8x + 12y = 220,000

From i, x = 20,000-y

Substitute this into ii

8(20,000-y) + 12y = 220,000

160,000-8y + 12y = 220,000

4y = 220,000 - 160,000

4y = 60,000

y = 60,000/4

y = $15,000

x = 20,000 -y

x = 20,000 - 15,000

x = $5,000

8 0

4 years ago

Number of passengers who arrive at the platform in an Amtrack train station for the 2 pm train on a Saturday is a random variabl

Svetradugi [14.3K]

Answer:

$P(80$

And we can find this probability with this difference:

$P(-4$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-4$

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the number of passengers who arrive at the platform of a population, and for this case we know the following info

Where $\mu=180$ and $\sigma=25$