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Verdich [7]
3 years ago
9

Please help!!!!!!!!!

Mathematics
2 answers:
Naddika [18.5K]3 years ago
6 0

The answer would be x=245 cm


Lyrx [107]3 years ago
3 0

Answer:

3.14 cm

Step-by-step explanation:

∆DEG is similar to ∆DFH, so

          DE/DG = DF/DH

         3.0/2.3 = (3.0 + 4.1)/(2.3 + x)

         3.0/2.3 = 7.1/(2.3 + x)     Divide each side by 7.1

         2.3/3.0 = (2.3 + x)/7.1     Multiply each side by 7.1

(2.3 × 7.1)/3.0 = 2.3 + x     Subtract 2.3 from each side

                   x = (2.3 ×7.1)/3.0 – 2.3

                     = 5.443 – 3.0

                     = 3.14 cm

<em>Check: </em>

3.0/2.3 = (3.0 + 4.1)/(2.3 + 3.14)

  1.304 = 7.1 /5.44

  1.304 = 1.305

The numbers check to the nearest hundredth.

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A random sampling of a company's monthly operating expenses for n=36 months produced a sample mean of $5474 and a stan-dard devi
lilavasa [31]

Answer with explanation:

Mean of the sample(m) = $ 5474

Standard deviation of the sample (S)=764

Number of observation(n)=36

Z_{90 \text{Percent}}=Z_{0.09}=0.5359

z_{score}=\frac{\Bar x-\mu}{\frac{S}{\sqrt{n}}}\\\\0.5359=\frac{5474- \mu}{\frac{764}{\sqrt{36}}}\\\\0.5359=\frac{5474- \mu}{\frac{764}{6}}\\\\764 \times 0.5359=6 \times (5474- \mu)\\\\409.4276=32844-6 \mu\\\\6 \mu=32844 -409.4276\\\\ 6 \mu=32434.5724\\\\ \mu=\frac{32434.5724}{6}\\\\ \mu=5405.76

So, Mean Monthly Expenses of Population =$ 5405.76, which is 90% upper confidence bound for the company's mean monthly expenses.

4 0
3 years ago
Which of the following are exterior angles? Check 2 that apply.
Maslowich

Answer:

D, A,B I think that’s it

Step-by-step explanation:

7 0
3 years ago
Write an expression for “the difference of 10 and x.”
sergij07 [2.7K]

Step-by-step explanation:

The expression for “the difference of 10 and x.”

can be given in two ways:

10 - x

or

x - 10

6 0
2 years ago
A store is having a 15% sale on movies. A movie is on sale for 22.10, what is the original price of the movie?
baherus [9]
The answer is $25.415
4 0
3 years ago
Can someone smart please help me?
ollegr [7]
Hello! 

For a:

How I would do this, is I would first say if all 46 animals (heads) were chickens, how many legs would there be? Each chicken has 2 legs, so 46 * 2 = 92. The total amount of legs is 96 as stated in the question, so if all of the animals were chickens, the farmer would be 4 legs short.

Now to add rabbits into the equation. Rabbits have 4 legs, and chickens have 2. You want to find the difference between the two, because as you add rabbits to the animals the farmer has, then you have to take away chickens at the same time. 4-2 = 2, so for each rabbit you replace, you add 2 legs. 

Since the farmer is 4 legs short with all chickens, then you just divide that 4 by the 2 legs you add by replacing a chicken with a rabbit.

4 / 2 = 2 rabbits

So that means there are 2 rabbits. Since there are 46 heads in total, if 2 are rabbits, that means there are 44 chickens.

So there are 44 chickens and 2 rabbits.

b)

You can follow the same steps: I'm assuming all are child tickets for now:

3.05 * 100 = $305

And now you find how much money short you are.

498.6 - 305 = 193.6

Next, you find the difference in the ticket costs.

5.25 - 3.05 = 2.20

And you divide to find the number of adult tickets.

193.6 / 2.2 = 88

Since 100 tickets were sold, and 88 adult tickets were sold, that means 12 child tickets were sold.
7 0
3 years ago
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