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3 years ago

Can you find out the mean number of children per family in the UK

1 answer:

4 0

There were 7.7 million families with dependent children in the UK in 2012, 1 in 7 of which had three or more dependent children. Married couples had a higher average number of dependent children in their family than other family types, at 1.8 children per family compared with 1.7 on average.

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Factor the expression completely. (If the expression is not factorable using integers, enter PRIME.)

Archy [21]

First you have to put like terms together:
bf+af+be+ae
Now you factor the first two terms and then the two last terms:
f(b+a)+e(b+a)
Now you factor even further. By putting what is in parentheses by what is outside the parentheses:
(b+a)(f+e)
What you got is correct as mine is too. I hope this formula helps for future problems:
ax+bx+ac+bc=x(a+b)+c(a+b)
=(a+b)(x+c)

8 0

3 years ago

Read 2 more answers

If Jeff sold 39 pumpkins, how much money did he make?

katrin2010 [14]

$195 each pumpkin cost about $5 each

8 0

3 years ago

Determine the unit rate of a marathon runner who travels 9/2 miles in 3/4 hour.

ludmilkaskok [199]

Answer:

The marathon runner runs 1 mile every 10 minutes.

Step-by-step explanation:

9/2 miles is equal to 4.5 miles. 3/4 hours is equal to 45 minutes.

8 0

4 years ago

What is the equation in slope-intercept form of the linear function represented by the table?

umka2103 [35]

Answer:

y = -x + 9

Step-by-step explanation:

You are given (-5,14), (-2,11), (1,8), and (4,5). Your first objective is to find the slope.

Slope is delta y divided by delta x - the amount of height the graph gains divided by the amount of horizontal length the graph gains. Take any two points and plug it into this: $\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ .

i.e. (-2,11) and (4,5): $\frac{11-5}{-2-4}$ which is $\frac{6}{-6}$ , or -1. Thus, the slope is -1.

We now have y = -1(x) + b, or just y = -x + b.

Next, find the y-intercept. Set the value of x to 0, as the y-intercept is found along the y-axis, which is at the horizontal center of the graph, 0. We now know that the y-intercept is (0,y). To find the y-value, plug one of the coordinate pairs of choice into x and y.

i.e. (-5,14): 14 = (-1)(-5) + b

14 = 5 + b

14 - 5 = 5 + b - 5

9 = b

So, the y-intercept is (0,9).

Finally, the equation is:

y = -x + 9

7 0

3 years ago

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all

posledela

This question is Incomplete

Complete Question

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? You may find Table B useful. (Enter your answer rounded to four decimal places.)

Answer:

0.7762

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Population mean = 6.20 bl/s

Standard deviation = 1.58 bl/s.

x = 5 bl/s

z = 5 - 6.20/1.58

z = -0.75949

The probability that an ant's speed in light traffic is faster than 5 bl/s is P( x > 5)

Probability value from Z-Table:

P(x<5) = 0.22378

P(x>5) = 1 - P(x<5)

= 1 - 22378

= 0.77622

Approximately to 4 decimal places = 0.7762

The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762

5 0

4 years ago