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2 years ago

Please help me . Find x.

Mathematics

1 answer:

Paladinen [302]2 years ago

6 0

Answer:

12) 5.96 ; 13)

Step-by-step explanation:

12). x and 5 are legs, so

opposite leg/adjacent leg = tangent 40°

5/x= tan40°, 5= x*tan40°, x= 5/tan40° ≈ 5.96

13). 15 is opposite leg

24 is hypotenuse

opposite leg/hypotenuse = sin(x)

sin(x) = 15/24

x = arcsin(15/24) ≈ 38.68°

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People were asked how many children are in their family. The results are shown below. How many people were surveyed?

Lorico [155]

Answer:

19 people were surveyed

Step-by-step explanation:

0 children = 3

1 child = 4

2 children = 5

3 children = 5

4 children = 2

3 + 4 = 7 + 10 = 17 + 2 = 19

5 0

2 years ago

Five students visiting the student health center for a free dental examination during National Dental Hygiene Month were asked h

Andrews [41]

Answer:

[0.9 months, 32.69 months]

Step-by-step explanation:

The mean is

$\bf \bar x=\frac{5+17+12+21+29}{5}=16.8$

The standard deviation is

$\bf s=\sqrt{\frac{(5-16.8)^2+(17-16.8)^2+(12-16.8)^2+(21-16.8)^2+(29-16.8)^2}{5}}=8.1092$

Now, we have to find two values a and b such that the area under the Normal curve with mean 16.8 and standard deviation 8.1092 between a and b equals <em>95% = 0.95 </em>

Using a spreadsheet we find these values are

a = 0.906

b = 32.694

<h3>(See picture) </h3>

and our 95% confidence interval for the mean number of months elapsed since the last visit to a dentist for the population of students participating in the program rounded to two decimal places is

[0.9 months, 32.69 months]

4 0

2 years ago

What is the solution to the equation 3/m+3-m/3-m=m^2+9/m^2-9

Bas_tet [7]

Answer:

no solution

Step-by-step explanation:

If we subtract the left side of the equation, we get ...

$\dfrac{m^2+9}{m^2-9}-\dfrac{3}{m+3}+\dfrac{3}{3-m}=0\\\\\dfrac{m^2+9-3(m-3)-3(m+3)}{(m-3)(m+3)}=0\\\\\dfrac{m^2-6m+9}{(m-3)(m+3)}=0=\dfrac{(m-3)^2}{(m-3)(m+3)}\\\\\dfrac{m-3}{m+3}=0\quad\text{m$\ne$3}$