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2 years ago

Which unit would I use to measure the circumference of a birthday cake?

1 answer:

6 0

Depends on how rich you are
if you are very rich, use meters (or yards)
if you are kinda rich, use feet
if you are average, use centimeters (or inches)
if poor, use milimeters

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10 points to you if you help me and brainlyist

Kazeer [188]

Answer:

Step-by-step explanation:

For the frequency distribution, count the numbers that satisfy each category.

79 to 83: 4 (81, 82, 83, 81)

84 to 88: 3 (87, 88, 86)

89 to 93: 7 (92, 93, 93, 93, 90, 90, 91)

94 to 98: 1 (97)

For the historagram, raise the bars at the bottom of the histogram to the numbers above (4, 3, 7, 1; in this order)

3 0

2 years ago

Given a normal distribution with a mean of 128 and a standard deviation of 15, what percentage of values is within the interval

tatyana61 [14]

Answer:

E. 99.7%

Step-by-step explanation:

Calculate each z-score.

z = (x − μ) / σ

z = (173 − 128) / 15

z = 3

z = (x − μ) / σ

z = (83 − 128) / 15

z = -3

You can use a z-score table, or use the empirical rule.

P(-3 < z < 3) = 99.7%.

6 0

3 years ago

gross income £12000 tax free allowance £6475 what is taxable amount @20%, tax payable,net income and weekly net amount how to wo

olganol [36]

We calculate for the taxable income by subtracting the tax free allowance from the gross income.

Taxable income = Gross income - tax free allowanc
Taxable income = (£12,000 - £6,475)
= £5,525

Hence, the taxable income is equal to £5,525.

Net income:
This would be equal to the gross income minus the amount of taxes to be paid.

Net income = Gross income - amount of tax to be paid
Net income = (£12,000) - (0.20)($5,525)
Net income = $10,895

Therefore,
ANSWER: $10,895

5 0

3 years ago

A town has accumulated 22 inches of snow, and the snow depth is increasing by 66 inches every hour. A nearby town has accumulat

Aleks [24]

Create an expression. Solve for x

22+66x=66+33x
Subtract 33x from both sides
22+33x=66
Subtract 22 from both sides
33x=44
Divide both sides by 33
x=44/33=4/3 or 1.3 hours

7 0

2 years ago

A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr

Rufina [12.5K]

The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
$120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\$
Logarithm both sides of the equation:
$ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083$

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
$A = 120 000 000 * e ^{0.0083*17} \\ 
A = 120 000 000 * e^{0.1411} \\ 
A = 120 000 000 * 1.15 \\ 
A = 138 000 000
$
Thus, the population will be 138 million in 2014

8 0

3 years ago