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sladkih [1.3K]
3 years ago
12

Plzzz help me on this math problem

Mathematics
1 answer:
Lostsunrise [7]3 years ago
3 0
Hi there!

Amit's reasoning is incorrect because multiplying a positive number by a negative number results in a negative result. The question also says that it is a charge to his account, which means that money is being taken away. Therefore, Amit's reasoning is incorrect because the bank is taking away money from him and his equation results in a positive value, instead of negative.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
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Leah is building a slide for her kids. if the latter is 7 feet tall and she wants the bottom of the slide to be 4 feet from the
nadezda [96]

The line needs to be 8.06 m long

Explanation

Given that the ladder is 7 feet tall and the bottom of the slide should be 4 m away from the ladder.

The ladder,slide and the ground connecting them makes the sides of a right angled triangle with ladder as the height and ground as the base.

base=4m

height=7m

hypotenuse can be determined using pythagoras law

b^{2} +h^{2} =H^{2} \\x^{2} 4^{2}+ 7^{2}= H^{2} \\16+49=H^{2} \\H=\sqrt{65} \\=8.06 m

4 0
3 years ago
normally distributed with mean 24.6 seconds and standard deviation 0.64 seconds;the lower finishing time, the better. If the qua
marshall27 [118]

Answer:

z=1.04

And if we solve for a we got

a=24.6 +1.04*0.64=25.27

So the value of height that separates the bottom 85% of data from the top 15% is 25.27.  

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 finishing time of a population, and for this case we know the distribution for X is given by:

X \sim N(24.6,0.64)  

Where \mu=24.6 and \sigma=0.64

Solution to the problem

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.15   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.85 of the area on the left and 0.15 of the area on the right it's z=1.04. On this case P(Z<1.04)=0.85 and P(z>1.04)=0.15

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.04

And if we solve for a we got

a=24.6 +1.04*0.64=25.27

So the value of height that separates the bottom 85% of data from the top 15% is 25.27.  

3 0
3 years ago
What's 789,091 rounded to the hundred thousands
Elena-2011 [213]
We need to round the number to the nearest hundred throusands.
this means that we will check the number after the poaition of the hundred thousands, if it is 5 or more,then we will add one otherwise we will ignore it and add zeros.
based on this, the number in the position next to the hundred thousands is 8 which mean that we will add one to the hundred thousands positions while all others will become zero.
Therefore,
789,091 to the nearest hundred thousands is 800,000
7 0
3 years ago
Read 2 more answers
6/7 as a fraction divided by a whole of 12
ValentinkaMS [17]

Answer:

<u>(1/14)</u>

Step-by-step explanation:

(6/7)/(12)              <u>6/7 as a fraction divided by a whole of 12</u>

(6/7)/(12/1)

(6/7)*(1/12)

(1/7)*(1/2)

(1/14)

4 0
2 years ago
Read 2 more answers
Two angles of a Triangle measure 55° and 22° What is the measure of the third angle of the triangle
IgorC [24]

Answer:

c would be the closest

Step-by-step explanation:

All triangles equal 180*. so if you combine the 2 angles, which adds up to 77* then that would leave the third angle to be 103* but since that isnt an option choose c since its the closest.

7 0
2 years ago
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