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3 years ago

Work out the mean for the data set below: 6, 4

Mathematics

1 answer:

aliina [53]3 years ago

8 0

Answer:

Step-by-step explanation:

The mean is the same as the average value of a data set and is found using a calculation. Add up all of the numbers and divide by the number of numbers in the data set.

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Hiram drove 15 miles in 12 minutes. If he

Pavlova-9 [17]

Since distance equals speed times time (d = st), we have

t = d/s

where d = 120 miles and s = 15 miles per hour

t = d / s
t = 120 / 15
t = 8

It will take 8 hours to drive 120 miles at a speed of 15 miles per hour.

8 0

3 years ago

When the solutions are going to be complex, which methods can be used to solve quadratic equations?

yKpoI14uk [10]

You could complete the square to state the vertex.
You could use the quadratic equation to find the roots (which are complex).

Try an example that will require both.

y = x^2 + 2x + 5

Step One
Get the graph. That's included below.

Step Two
Provide the steps for completing the square.
Note: we should get (-1,4)

y= (x^2 +2x ) + 5
y = (x^2 +2x + 1) + 5 - 1
y = (x +1)^2 + 4

The vertex is at (-1,4)

Step Three
Find the roots. Use the quadratic equation. Note that the graph shows us that the equation never crosses or touches the x axis. The roots are complex.

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

a = 1
b = 2
c = 5

$\text{x = }\dfrac{ -2 \pm \sqrt{2^{2} - 4*1*5 } }{2}$
$\text{x = }\dfrac{ -2 \pm \sqrt{4 - 20 } }{2}$
$\text{x = }\dfrac{ -2 \pm \sqrt{-16 } }{2}$
$\text{x = }\dfrac{ -2 \pm 4i }{2}$
x = -1 +/- 2i

x1 = -1 + 2i
x2 = -1 - 2i And we are done.

7 0

3 years ago

Write the equation of a line that includes the point (22, 12) and

STatiana [176]

Let's start with y = 4x + b (since 4 is the slope);

We need to find what number should be put instead of b;

Then, let's see what needs to be done;

Plug in the y and x values from the coordinate (22,12) into y=4x+b;

12 = 4(22) + b

Solve;

12 = 88 + b

12 - 88 = b

b = -76

Remember the equation y = 4x + b? Put the -76 instead of b:

y = 4x + -76

or: y = 4x - 76

That is the equation.

To make it standard form, put x and y both in the left side, with x first then y:

-4x + y = -76

^^Answer!

7 0

3 years ago

A garden contains two square peanut beds. Find the length of each bed if the sum of the areas is 914ft squared and the differenc

garik1379 [7]

Answer:

The answer to your question is:

m = length of the smaller bed = 17 ft

l = length of the larger bed = 25 ft

Step-by-step explanation:

Data

A1 + A2 = 914

A1 - A2 = 336

A1 = l²

A2 = m²

Process

l² + m² = 914

l² - m² = 336

l² = 336 + m²

(336 + m²) + m² = 914

336 + 2m² = 914

2m² = 914 - 336

2m² = 578

m² = 578 / 2

m² = 289

m = 17 ft

l² = 336 + 289

l² = 625

l = 25 ft

6 0

3 years ago

4. Thoughtful Politicians [This problem setting is due to Prof. James Norris of Cambridge University.] In a group of 100 politic

kirill [66]

Answer:

Step-by-step explanation:

The focus is on Party 2, because as already said, Party 1 members NEVER change their minds on anything!

There are 60 politicians in Party 2. They change their minds completely-randomly every day.

Tomorrow, the politicians will vote on a proposition: Proposition 88, but today, 10 are in favor of it while 50 are against it.

Each member changes their mind based on the toss of a coin (a fair/unbiased coin; since it was not stated that the coin is biased). A fair coin has a 0.5 probability of landing HEADS and same 0.5 probability of landing TAILS.

What is the distribution of the number of members in Party II who will favor Prop 88 tomorrow?

The number of figures in the distribution will depend on the number of times the coin is tossed, between today and tomorrow.

<em>KEY: </em><em>Assuming the coin is tossed 12 times between today and tomorrow AND assuming that half of the time - 6 times - it landed HEADS and half of the time, TAILS (Head and Tail simultaneously).</em>

Beginning with HEADS, the distribution of the number of members who will favor the proposition tomorrow, is:

50, 10, 50, 10, 50, 10, 50, 10, 50, 10, 50, 10

4 0

3 years ago