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3 years ago

Discrete Math (MACM 101)

Mathematics

1 answer:

Alona [7]3 years ago

7 0

I hope this helps you

n!/(n-3)!=3.n!/(n-2)!

3. (n-3)!=(n-2)(n-3)!

3=n-2

n=5

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Evaluate the expression when b=4 and x=-2 . b-4x

oee [108]

Answer:

Step-by-step explanation:

b-4x

Plug in 4 as b and -2 as x

= (4)-4(-2)

Multiply 4 and 2

= 4-(-8)

Two negatives make a positive

= 4+8

= 12

I hope this helps!

4 0

3 years ago

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Triangles sorry the picture didn’t upload I’m seriously lost Solve for x in each one

kirza4 [7]

Answer:

for 12. G=122 and I know that's not X but it helps somewhat...maybe? also, c is 32. I hope you can use this to solve because I did this in school two years ago and my brains a little foggy lemme know if this helps :)

Step-by-step explanation:

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3 years ago

Where does the line through (1, 0, 1) and (4, −2, 3) intersect the plane x + y + z = 8?

Fynjy0 [20]

Try, pls, this decision (step by step).
Point (5.8;-2;4.2) belongs to the plane and line.

5 0

3 years ago

Multiply (2.5x10^-10) (7x10^-6)

serious [3.7K]

We want to multiply $2.5\cdot10^{-10}$ by $7\cdot10^{-6}$ .

The numbers are written in scientific notation. So we expect the answer also to be in scientific notation.

the multiplication of the 10's, using the exponents rule is :

$10^{-10}\cdot 10^{-6}=10^{-10+(-6)}=10^{-10-6}=10^{-16}$

the multiplication of the other 2 numbers is:

$2.5\cdot7=17.5=1.75\cdot10$

(we write the number so that it has only one digit to the left of the decimal point).

Thus,

$(2.5\cdot10^{-10})\cdot(7\cdot10^{-6})=1.75\cdot10\cdot10^{-16}=1.75\cdot10^{-15}$

Answer: $1.75\cdot10^{-15}$

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4 years ago

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The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,608 kilowatt hours (kWh

Marat540 [252]

Answer:

The calculated value Z = 1.4460 < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

A local power company believes that residents in their area use more electricity on average than EIA's reported average

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 10,608 kWh of electricity this year.

Given that the size of the sample n = 187

Given that mean of sample x⁻ = 10737 kWh

The Standard deviation of the Population = 1220kWh

Level of significance = 0.05

The critical value (Z₀.₀₅)= 1.96

Step(ii):-

Null Hypothesis: H₀:μ > 10608 kWh

Alternative Hypothesis: H₁: μ < 10608kWh

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{10737- 10608 }{\frac{1220}{\sqrt{187} } }$

Z = 1.4460

Final answer:-

The calculated value Z = 1.4460 < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

A local power company believes that residents in their area use more electricity on average than EIA's reported average.

3 0

3 years ago