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Tema [17]
2 years ago
15

Divide. express your answer in lowest terms. -7/10 divided (-4/5)

Mathematics
1 answer:
LiRa [457]2 years ago
8 0
I believe the answer will be 0.035, hope this helped!
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What is .181818... as a fraction?
LekaFEV [45]
181818/1000000. let me know if im wrong! <3
4 0
2 years ago
2 3/5 - 5/6 as a mixed number
Vaselesa [24]

Answer:

1 23/30

Step-by-step explanation:

you convet the mixed numbers into improper fractions then find the lowest common factor and combine :)

6 0
2 years ago
Suppose the heights of a population of people are normally distributed with a mean of 65.5 inches and a standard deviation of 2.
kupik [55]

Answer:

a) P(64.2

b) 69.764

Step-by-step explanation:

1) 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".

2) Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(65.5,2.6)

Where \mu=65.5 and \sigma=2.6

We are interested on this probability

P(64.2

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(64.2

And we can find this probability on this way:

P(-0.50

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

P(-0.50

3) Part b

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

P(X>a)=0.05   (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 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

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=1.64

And if we solve for a we got

a=65.5 +1.64*2.6=69.764

So the value of height that separates the bottom 95% of data from the top 5% is 69.764.

5 0
3 years ago
What is the slope of a line with points (5.5,2.2)(11,4.4)?
MAXImum [283]

Answer:

Slope=2.2/5.5 or 0.4

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

Hence:

slope=(4.4-2.2)/(11-5.5)

slope=2.2/5.5=0.4

7 0
2 years ago
2x+5/3 = 3x-10<br> Please can anyone help?
Oksi-84 [34.3K]

Answer:

first bring x value together

Step-by-step explanation:

like 2x and 3x together and then take 5/3 to RHS and solve

6 0
3 years ago
Read 2 more answers
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