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2 years ago

Put the operations to simplify the expression in the correct order.

Mathematics

1 answer:

4vir4ik [10]2 years ago

6 0

Answer:

Step-by-step explanation:

First multiply 5*9=45

Next subtract 15=30

Then Add 82 to 30=112

Last subtract 70 from 112=42

SO you get 42

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Find x<br> a) 21 √2<br> b)7<br> c)21 √2/2<br> d)21 √3/2

fgiga [73]

Answer:

Step-by-step explanation:

Use the sine ratio in the left, right triangle to find the common side to both triangles and the exact values

sin60° = $\frac{\sqrt{3} }{2}$ , cos45° = $\frac{1}{\sqrt{2} }$ , thus

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{opp}{7\sqrt{3} }$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2 × opp = 21 ( divide both sides by 2 )

opp = $\frac{21}{2}$

Now consider the right triangle on the right, using the cosine ratio

cos45° = $\frac{adjacent}{hypotenuse}$ = $\frac{\frac{21}{2} }{x}$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

x = $\frac{21}{2}$ × $\sqrt{2}$ = $\frac{21\sqrt{2} }{2}$ → C

5 0

3 years ago

215% of 41.8 is what number

salantis [7]

Ith Calculator

41.8 = 100%
215%/100% = 2.15
41.8 x 2.15 = 89.87

Without Calculator

41.8 = 100%

x2
83.6 = 200%

/10
4.18 = 10%

/20
2.09 = 5%

200 + 10 + 5 = 215%
83.6 + 4.18 +2.09 = <span>89.87</span>

4 0

2 years ago

Read 2 more answers

alexdok [17]

7) A
8) C
9) B
I’m not certain but I hope this helps you...sorry if I got it wrong!!

4 0

3 years ago

One variable examined is the survival rate 10 years after tagging. The scientists observed that 10 of the 50 metal tagged pengui

Oksana_A [137]

Answer: 90% confidence interval would be $(-0.2483,-0.0717)$

Step-by-step explanation:

Since we have given that

n₁ = 50

Number of metal tagged penguins survived = 10

So, $p_m=\dfrac{10}{50}=0.2$

n₂ = 50

Number of electronic tagged penguins = 18

So, $p_e=\dfrac{18}{50}=0.36$

So, at 90% confidence interval, z = 1.28

So, interval would be

$(p_m-p_e)\pm z\sqrt{\dfrac{p_m(1-p_m)}{n}+\dfrac{p_e(1-p_e)}{n}}\\\\=(0.2-0.36)\pm 1.28\sqrt{\dfrac{0.2\times 0.8}{50}+\dfrac{0.36\times 0.64}{50}}\\\\=-0.16\pm 0.0883\\\\=(-0.16-0.0883,-0.16+0.0883)\\\\=(-0.2483,-0.0717)$