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3 years ago

This question has just been watching so please help!

Mathematics

1 answer:

Gwar [14]3 years ago

7 0

Answer:

1/8

Step-by-step explanation:

Half of the numbers are even on a dice.

The probability of even number is 1/2 for each roll.

<u>For 3 rolls the probability is:</u>

1/2*1/2*1/2 = 1/8

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you have to put the formula of perimeter

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Which statement could describe the graph below?

oee [108]

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The plant started to wither 35 days after it was planted.

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3 years ago

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2. A random sample of 30 households was selected as part of a study on electricity usage, and the number of kilowatt-hours (kWh)

Brrunno [24]

Answer:

Step-by-step explanation:

Given that n =30, x bar = 375 and sigma = 81

Normal distribution is assumed and population std dev is known

Hence z critical values can be used.

For 95% Z critical=1.96

Margin of error = $1.96(\frac{81}{\sqrt{30} } )=29$

Confidence interval = 375±29

=(346,404)

B) 99% confidence

Margin of error = 2.59*Std error =38

Confidence interval = 375±38

=(337, 413)

C) For 90%

Margin of error = 20

Std error = 20/1.645 = 12.158

Sample size

$n=(\frac{81}{12.158} )^2\\=44.38$

Atleast 44 people should be sample size.

8 0

3 years ago

7. Solve the equation using the quadratic formula.<br> 3x^2 = 2(2x+1)

suter [353]

Answer:

$\rm x = \dfrac{2+\sqrt{10}}{3},\dfrac{2-\sqrt{10}}{3}$

Step-by-step explanation:

A quadratic equation is given to us and we need to solve the equation using the quadratic formula . The given equation is ,

$\rm\implies 3x^2=2(2x+1)$

Open the brackets in RHS ,

$\rm\implies 3x^2= 4x + 2$

Transpose all the terms to LHS ,

$\rm\implies 3x^2-4x-2=0$

The general form of a quadratic equation is ax² + bx + c = 0 , and the roots of the equation by the Quadratic Formula ( Shreedhacharya's Formula ) is given by ,

$\rm\implies\red{ x =\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}}$

Using the quadratic formula , we have ,

$\rm\implies x =\dfrac{-(-4) \pm \sqrt{(-4)^2-4(3)(-2) }}{2(3)}$

Simplify ,

$\rm\implies x =\dfrac{4 \pm \sqrt{16+24 }}{6}$

$\rm\implies x = \dfrac{4\pm \sqrt{40}}{6}$

$\rm\implies x =\dfrac{4\pm 2\sqrt{10}}{6}$

$\rm\implies\boxed{\pink{\frak{ x = \dfrac{2+\sqrt{10}}{3},\dfrac{2-\sqrt{10}}{3}}}}$

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3 years ago

I forgot how to do this n they didn’t put an example help me lol

lyudmila [28]

Answer:

60 $m^2$

Step-by-step explanation:

First, find the area of the square as it the missing piece wasn't missing.

8 x 9 = 72 $m^2$

Then, find the area of the missing section.

3 x 4 = 12 $m^2$

Finally, subtract 12 $m^2$ from 72 $m^2$ and you get 60 $m^2$

3 0

3 years ago