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anyanavicka [17]
3 years ago
11

Help please! See attached picture x= ___ m​

Mathematics
1 answer:
arlik [135]3 years ago
4 0

Answer:

The answer is 42.9

Step-by-step explanation:

\frac{35.2}{67.2}  =  \frac{x}{81.9}  \\ x =  \frac{35.2 \times 81.9}{67.2 }  \\ x = 42.9

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Micheal signed a 5-year contract for a new job. His starting salary is $67K per year, and the salary increases 3% each year if a
Tcecarenko [31]

Answer: 77050

Step-by-step explanation: each year +3% meaning in 5 years should be 15% already. 15/100 times x/67000. use butterfly method.

4 0
3 years ago
An ostrich egg weighs 64 ounces is the weight of the ostrich egg greater than 5 pounds?
IgorLugansk [536]

Answer:

An ostrich egg is 4 pounds, therefore, an ostrich egg is not greater than 5 pounds.

Step-by-step explanation:

Convert the ounces to pound.

1 pound = 16 ounces

Next, divide.

64 ÷ 16 = 4.

4 < 5

So, an ostrich isn't greater than 5 pounds

Have a wonderful day!

4 0
3 years ago
Suppose in the University of Manitoba, 40% of the students live in apartments. If 600 students are randomly selected, then the a
just olya [345]

Answer:

P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)

=P(Z

So then the correct answer would be:

B) .9996

Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and X \sim Bin(n=600, p =0.4)

And we want this probability:

P(200 \leq X \leq 400) [tex]In order to find this probability we can use the foloowing excel code:"=BINOM.DIST(400,600,0.4,TRUE)-BINOM.DIST(199,600,0.4,TRUE)"And we got:[tex] P(200 \leq X \leq 400) =0.999675[tex]But for this case the problem says that we need to approximate, so then we can use the normal approximation to the normal distribution. We need to check the conditions in order to use the normal approximation.&#10;[tex]np=600*0.4=240\geq 10

n(1-p)=600*(1-0.4)=360 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=600*0.4=240

\sigma=\sqrt{np(1-p)}=\sqrt{600*0.4(1-0.4)}=12

And then X \sim N (\mu = 240, \sigma= 12)

And we are interested on the following probability:

P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)

=P(Z

So then the correct answer would be:

B) .9996

6 0
3 years ago
Simplify the expression 112+218
otez555 [7]

Answer:

330

Step-by-step explanation:

    1

  112

+218

____

  330

6 0
3 years ago
Solve by substitution <br> 4x+3y=23 <br> 5x- y=24
professor190 [17]

Answer:

Math papa

Step-by-step explanation:

im fr

4 0
3 years ago
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