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GaryK [48]
3 years ago
13

In a suvey of 100 out-patients who reported at a hospital one day it was find out that 70 complained of fever, 50 complained of

stomachs and 30 were injured. All 100 patients had at least one of the complains. How many patients had all three complains?
Mathematics
1 answer:
ruslelena [56]3 years ago
5 0
Just add them together
70+30+50=150
150-100=50
50 people had all three

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Need help finding the side length, thank you! please try and show work or you can
Tasya [4]

Answer: x=16

Step-by-step explanation:

For this problem, we can set a proportion to find the side length of the smaller rectangle.

\frac{15}{24}=\frac{10}{x}                                     [cross multiply]

15x=240                                 [divide both sides by 15]

x=16

8 0
3 years ago
Select the correct answer from each drop-down menu. if f(x)=x^2+2x-3 and g(x)=x^2-9, find (f/g)(4) and (f+g)(4).
Nataly_w [17]

Answer:

(f/g)(4) = 3

(f + g)(4) = 28

Step-by-step explanation:

(f/g) = \frac{x^2+2x-3}{x^2-9}

(f + g) = 2x^2 + 2x -12

Simply plug in 4 for x in both equations to find you answer!

3 0
3 years ago
the ratio of pine trees to elm trees in a park is 7:11. How many pine trees are there in the park if there are 68 more elm trees
Hitman42 [59]

Answer:

<em>The number of </em><em>pine tree is 119</em><em> and the number of </em><em>elm tree is 187.</em>

Step-by-step explanation:

The ratio of pine trees to elm trees in a park is 7:11

Let us assume that the number of pine tree is 7x and the number of elm tree is 11x.

It is also given that, there are 68 more elm trees as compared to the pine trees.

i.e 11x=7x+68

\Rightarrow 11x-7x=68

\Rightarrow 4x=68

\Rightarrow x=17

Hence, the number of pine tree = 7x=7\times 17=119 and the number of elm tree = 11x=11\times 17=187

8 0
3 years ago
Find the approximate area between the curve f(x) = -4x² + 32x and on the x-axis on the interval [0,8] using 4 rectangles. Use th
Doss [256]

Split up the interval [0, 8] into 4 equally spaced subintervals:

[0, 2], [2, 4], [4, 6], [6, 8]

Take the right endpoints, which form the arithmetic sequence

r_i=2+\dfrac{8-0}4(i-1)=2i

where 1 ≤ <em>i</em> ≤ 4.

Find the values of the function at these endpoints:

f(r_i)=-4{r_i}^2+32r_i=-16i^2+64i

The area is given approximately by the Riemann sum,

\displaystyle\int_0^8f(x)\,\mathrm dx\approx\sum_{i=1}^4f(r_i)\Delta x_i

where \Delta x_i=\frac{8-0}4=2; so the area is approximately

\displaystyle2\sum_{i=1}^4(-16i^2+64i)=-32\sum_{i=1}^4i^2+128\sum_{i=1}^4i=-32\cdot\frac{4\cdot5\cdot9}6+128\cdot\frac{4\cdot5}2=\boxed{320}

where we use the formulas,

\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2

\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6

6 0
3 years ago
A circular rug has a diameter of 6 feet. What is the circumference of the rug? Use 3.14 for π.
Anton [14]

Answer:

your answer is b. 18.84ft

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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