All categories

3 years ago

The mean of six numbers is 10. When

Mathematics

2 answers:

vivado [14]3 years ago

5 0

Answer:

Step-by-step explanation:

If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:

x÷6=10

x=60

The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:

y÷7=9

y=63

63-60=3

So the new number added is 3

raketka [301]3 years ago

3 0

Answer:

Step-by-step explanation:

Mean is calculated as

mean = $\frac{sum}{count}$

Given the mean of 6 numbers is 10, then

$\frac{sum}{6}$ = 10 ( multiply both sides by 6 )

sum = 60

When another number x is added then count is 7

$\frac{60+x}{7}$ = 9 ( multiply both sides by 7 )

60 + x = 63 ( subtract 60 from both sides )

x = 3 ← the number added

You might be interested in

Aaron has $25 to spend at the carnival. Admission is $4.00 and the ride tickets are $1.25 each. What is the maximum number of ri

Zigmanuir [339]

16 rides aaron can ride

5 0

2 years ago

Read 2 more answers

represents a line that passes through (3, –2) with a slope of negative StartFraction 4 Over 5 EndFraction?

erik [133]

Answer:

$y = \frac{4}{5} x - \frac{22}{5}$

Step-by-step explanation:

$y = mx + b$

$- 2 = \frac{4}{5} (3) + b \\ - 2 = \frac{12}{5} + b \\ - 2 - \frac{12}{5} = b \\ - \frac{10}{5} - \frac{12}{5} = b \\ - \frac{22}{5} = b$

Therefore, the equation of the line that goes through point (3, -2)and has slope ⅘ is

$y = \frac{4}{5} x - \frac{22}{5}$

6 0

2 years ago

The Boston public school district has had difficulty maintaining on-time bus service for its students ("A Year Later, School Bus

erma4kov [3.2K]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 12

For the alternative hypothesis,

µ < 12

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 12 minutes

x = 8 minutes

σ = 12 minutes

n = 36

z = (8 - 12)/(12/√36) = - 4/2 = - 2

Test statistic = - 2

6 0

3 years ago

Simplify: -1/2 (-5/6 + 1/3)

miskamm [114]

Answer:

1/4

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find the area of the figure below and please show how you got the answer.. Thanks

Anni [7]

Cut the graph into triangle and rectangle. The triangle area is 8x8/2=32 while rectangle is 8x6=48 sum them up which is 80. B is the answer

3 0

2 years ago