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1 year ago

Pavel’s pocket money increases from €12 per week to €15 per week. Work out the percentage increase in his pocket money.

Mathematics

1 answer:

aleksklad [387]1 year ago

6 0

Answer:

12 --> 15

It's a 25% increase.

Increase = New Number - Original Number

15-12=3

Then: divide the increase by the original number and multiply the answer by 100.

3/12=1/4=0.25 x 100=25

25% is the answer

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A simple random sample of 100 concert tickets was drawn from a normal population. The mean and standard deviation of the sample

alexandr402 [8]

Answer:

We accept the null hypothesis and the population mean is $120.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 100

Sample mean, $\bar{x}$ = $120

Alpha, α = 0.01

Sample standard deviation, s = $25

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 125\\H_A: \mu \neq 125$

We use two-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = -2.0$

p-value one tail= 0.024

p-value two tail= 0.048

Conclusion:

Since the p-value for two tailed test is greater than the significance level, we fail to reject the null hypothesis and accept it.

Thus, the population mean is $120.

6 0

1 year ago

Charlotte's annual salary is 29,354 dollars. She is hoping to win the World Lottery which has a grand prize of 6,156,782,221 dol

Sholpan [36]

Depending on what calculator you have, this should be pretty simple, divide the World lottery by her annual salary to determine how many times as large it is.
The answer is approximately 209,742.53 times as large.

8 0

2 years ago

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A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m

Scorpion4ik [409]

Answer:

(5.4k+7.9m+8.1n) centimeters

Step-by-step explanation:

Given the side length of a triangle;

S1 = (1.3k+3.5m) cm

S2 = (4.1k-1.6n) cm

S3 = (9.7n+4.4m) cm

Perimeter of the triangle = S1+S2 + S3

Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)

Collect the like terms;

Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n

Perimeter of the triangle = 5.4k+7.9m+8.1n

Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters

5 0

1 year ago

Complete the statements for the graph of f(x) = |x|. The domain of the function is . The range of the function is . The graph is

ioda

Answer:

Domain of f(x): All real numbers

Range of f(x): $f(x) \geq0$ ---> [0, ∞)

The graph is over the interval (0, ∞)

Step-by-step explanation:

The function absolute value of x that is written: f(x) = | x | assigns only positive values to f(x) at any value of x.

For example, if for f(x) = | x | we make

f(-23) = | -23 | then the absolute value of x "transforms" the number -23 to +23.

Then f(-23) = | -23 | = 23

This means that f(x) will be positive for any value of x.

Therefore, we can conclude that:

Domain of f(x): All real numbers

Range of f(x): $f(x) \geq0$ ---> [0, ∞)

The graph is over the interval (0, ∞)

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1 year ago

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Dee's credit card has an APR of 17% calculated on the previous monthly balance, and Dee makes a payment of $50 every month. Her

Bess [88]

Where is the table..? You didn't provide any pictures..

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2 years ago

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