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enot [183]
2 years ago
11

Your brother is 1/5 your age. Your sister is 9 years older than your brother. Your sister is 11 years old. Write and solve an eq

uation to find your age a.
Mathematics
2 answers:
Alexeev081 [22]2 years ago
5 0

Answer:

your age is 10 and your brothers age is 2 the equation is

Step-by-step explanation:

a=5b=b+9

the first part is how old you are the second is how old your brother is and the third is how old your sister

prisoha [69]2 years ago
3 0
I’m joy gonna write it because you’ll think I copied but ^^ they’re right I got the same thing
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van someone please help me with this i dont need an explaination i just need a. b. c. or d. please and thank you
Talja [164]

Answer:

option C

f(x)=-\sqrt{x+3}+8

Step-by-step explanation:

we have

f(x)=-2\sqrt{x-3}+8

using a graphing tool

see the attached figure N1

The range is the interval--------> (-∞,8]

y\leq 8

case A) f(x)=\sqrt{x-3}-8

using a graphing tool

The range is the interval--------> [-8,∞)

y\geq -8

case B) f(x)=\sqrt{x-3}+8

using a graphing tool

The range is the interval--------> [8,∞)

y\geq 8

case C) f(x)=-\sqrt{x+3}+8

using a graphing tool

The range is the interval--------> (-∞,8]

y\leq 8

case D) f(x)=-\sqrt{x-3}-8

using a graphing tool

The range is the interval--------> (-∞,-8]

y\leq -8

5 0
3 years ago
What could this be? Please help
Delicious77 [7]
The answer is h = 2y + 32 
6 0
3 years ago
Read 2 more answers
Which expression is equivalent to 56 + 21?
Ghella [55]
If the last one is supposed to be 7(8+3), it would be equivalent to 56+21
3 0
3 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
Write a compound inequality that represents the annual profits P ( in millions or dollars) from 2006 to 2013.
alisha [4.7K]

Answer:

(50000000 ≤ P ≤ 90000000)

Step-by-step explanation:

The chart represents annual profits in millions of dollars. From the chart, the least annual profit is 50 million dollars and that was is the year 2009.

The highest annual profit is 90 million dollars and that was is the year 2012.

The compound inequality representing the annual profits P(in millions or dollars) from 2006 to 2013 would be

(50000000 ≤ P ≤ 90000000)

7 0
3 years ago
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