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Rashid [163]
3 years ago
14

Simplify the radical expression sqrt 7+3 sqrt 7

Mathematics
2 answers:
GREYUIT [131]3 years ago
8 0
√7+3√7 = 4√7
thus answer is 4√7
Alika [10]3 years ago
6 0
4\sqrt{7}

This is because there is an imaginary 1 in front of the first sqrt. 
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Find the area of the shaded region of the circle. Round to the nearest hundredth.
Vanyuwa [196]

Answer:Area of shaded region is 454.97

Step-by-step explanation:

The formula for determining the area of a circle is expressed as

Area of circle = πr^2

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

r = 14

Area of the circle = 3.14 × 14^2 = 615.44

The shaded area is a sector

Area of a sector is expressed as

Area = #/360 × πr^2

Where

# = 94 = central angle

Area of sector = 94/360 × 3.14 × 14

= 160.68

Area of shaded region would be

615.44 - 160.68

= 454.97

7 0
3 years ago
Read 2 more answers
What is 3/6 as a decimal?
iren2701 [21]
0.5 is the answer hope I helped you
5 0
3 years ago
In the figure below, Z is the center of the circle. Suppose that OR=4, ST= 4, UZ= 6, and VZ=4x-6. Find the following.
Ann [662]

Answer:

x = 3 units

SV = 2 units

Step-by-step explanation:

In\odot Z QR and ST are chords such that:

QR = ST = 4

That is both the chords are equal in measure.

Equal chords are at equal distance from the center of the circle. Therefore,

VZ = UZ

4x - 6 = 6

4x = 6 + 6

4x = 12

x = 12/4

x = 3 units

Since, perpendicular dropped from the center of the circle bisects the chord.

\therefore SV = \frac{1}{2} ST

\therefore SV = \frac{1}{2} \times 4

\therefore SV = 2\: units

3 0
3 years ago
The probability density function of the time to failure of an electronic component in a copier (in hours) is f(x) for Determine
salantis [7]

The question is incomplete. Here is the complete question.

The probability density function of the time to failure of an electronic component in a copier (in hours) is

                                              f(x)=\frac{e^{\frac{-x}{1000} }}{1000}

for x > 0. Determine the probability that

a. A component lasts more than 3000 hours before failure.

b. A componenet fails in the interval from 1000 to 2000 hours.

c. A component fails before 1000 hours.

d. Determine the number of hours at which 10% of all components have failed.

Answer: a. P(x>3000) = 0.5

              b. P(1000<x<2000) = 0.2325

              c. P(x<1000) = 0.6321

              d. 105.4 hours

Step-by-step explanation: <em>Probability Density Function</em> is a function defining the probability of an outcome for a discrete random variable and is mathematically defined as the derivative of the distribution function.

So, probability function is given by:

P(a<x<b) = \int\limits^b_a {P(x)} \, dx

Then, for the electronic component, probability will be:

P(a<x<b) = \int\limits^b_a {\frac{e^{\frac{-x}{1000} }}{1000} } \, dx

P(a<x<b) = \frac{1000}{1000}.e^{\frac{-x}{1000} }

P(a<x<b) = e^{\frac{-b}{1000} }-e^\frac{-a}{1000}

a. For a component to last more than 3000 hours:

P(3000<x<∞) = e^{\frac{-3000}{1000} }-e^\frac{-a}{1000}

Exponential equation to the infinity tends to zero, so:

P(3000<x<∞) = e^{-3}

P(3000<x<∞) = 0.05

There is a probability of 5% of a component to last more than 3000 hours.

b. Probability between 1000 and 2000 hours:

P(1000<x<2000) = e^{\frac{-2000}{1000} }-e^\frac{-1000}{1000}

P(1000<x<2000) = e^{-2}-e^{-1}

P(1000<x<2000) = 0.2325

There is a probability of 23.25% of failure in that interval.

c. Probability of failing between 0 and 1000 hours:

P(0<x<1000) = e^{\frac{-1000}{1000} }-e^\frac{-0}{1000}

P(0<x<1000) = e^{-1}-1

P(0<x<1000) = 0.6321

There is a probability of 63.21% of failing before 1000 hours.

d. P(x) = e^{\frac{-b}{1000} }-e^\frac{-a}{1000}

0.1 = 1-e^\frac{-x}{1000}

-e^{\frac{-x}{1000} }=-0.9

{\frac{-x}{1000} }=ln0.9

-x = -1000.ln(0.9)

x = 105.4

10% of the components will have failed at 105.4 hours.

5 0
3 years ago
PLSSS HELP ME!!!!!!!
DanielleElmas [232]

Answer:

y=15

Step-by-step explanation:

Because of the exterior angle theorem angle A plus angle b or equal to 146.

so you set 5y+3+4y+8=146 and solve

5y+3+4y+8=146

9y+11=146

9y=135

y=15

7 0
3 years ago
Read 2 more answers
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