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Olenka [21]
2 years ago
13

Find the exact solution of 5- 2x^2 = -15

Mathematics
1 answer:
emmainna [20.7K]2 years ago
6 0
Step 1: Simplify both sides of the equation.
−2x^2 + 5= 15

Step 2 : Subtract 5 from both sides
-2x^2 + 5 - 5 = -15 - 5
-2x^2 = -20

Step 3: Divide both sides by -2.
-2x^2 -20
———- = ———-
-2 -2

X^2 = 10

The answer is :
x=±√
​10
​
​​
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john and jack found a coin on the sidewalk. they argued about whether the coin is fair. john claimed a 40% chance for the coin t
expeople1 [14]

Since it is observed that I z I = 3.464 > 1.96 it is concluded that the null hypothesis is rejected.

Therefore we reject John's claim.

Here:

we can use 1 sample proportion test to check the claim of John

H₀ : p₀ = 0.4

H₁ : p₀ ≠ 0.4

Test statistic is

z = p - p₀/√p₀(1-p₀)n

Let X be the random variable denoting the number of heads.

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6 0
1 year ago
A sphere is just enclosed inside a right circular cylinder. If the volume of the sphere is 140 cm3, find the volume of the gap b
alexgriva [62]
-----------------------------------------------------------
Find Radius :
-----------------------------------------------------------
\text {Volume of a sphere =}   \dfrac{4}{3}  \pi r^3

\dfrac{4}{3}  \pi r^3 = 140

\pi r^3 = 140 \times  \dfrac{3}{4}

\pi r^3 = 105

r^3 =  \dfrac{105}{ \pi}

r = 3.22 \ cm

-----------------------------------------------------------
Find volume of the cylinder :
-----------------------------------------------------------
\text {Volume of the cylinder = } \pi r^2h

\text {Volume of the cylinder = } \pi ((3.22)^2(3.22 \times 2)

\text {Volume of the cylinder = } 209.77 \ cm^3

-----------------------------------------------------------
Find volume of the gap :
-----------------------------------------------------------
\text {Volume of gap = } 209.77 - 140

\text {Volume of gap = } 69.77 \ cm^3

-----------------------------------------------------------
\bf \text {Answer : } 69.77 \cm^3
-----------------------------------------------------------

6 0
3 years ago
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