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2 years ago

What is the result when the number 100 is decreased by 10%?

Mathematics

1 answer:

Temka [501]2 years ago

5 0

Answer:

10% of 100 is 90

Step-by-step explanation:

100 · 0.10 = 10

100 - 10 = 90

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3x-5=1 What x value solves the equation?

WINSTONCH [101]

Hey!

3x-5=1

-5 to the other side as +5

3x=1+5

3x=6

x=2

Good luck

3 0

3 years ago

Using the function below, evaluate f(-2). * 2 points f(x) = 3x? - 5x - 2

monitta

Okay so I'm guessing that they are two different formulas the f(x)= 3x and the f(x)= -5x-2. If that's is true then you would just have to plug in -2 to the x's. So then it would be f(x)= 3(-2) which if you solve it would give you f(x)= -6 and for the second one it would be f(x)= -5(-2)-2 so then you would solve for it and get f(x)= 8.

6 0

3 years ago

Let x be a random variable representing dividend yield of Australian bank stocks. We may assume that x has a normal distribution

kotegsom [21]

Answer:

a) 0.025 level of significance

The calculated t - value t = 2.88 > 3.58 at 0.025 level of significance

Therefore null hypothesis is rejected

The data indicate that the dividend yield of all Australian bank stocks is higher than 7.9%

Step-by-step explanation:

Step(i):-

Let 'x' has a normal distribution

Given sample size 'n' =11

Mean of the sample (x⁻) = 9.89% = 0.0989

Standard deviation of the sample (s) = 2.3% = 0.023

Mean of the Population ' μ' = 7.9% = 0.079

Step(ii):-

Null hypothesis:H₀:' μ' = 0.079

Alternative Hypothesis :μ' > 0.079

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{0.0989-0.079}{\frac{0.023}{\sqrt{11} } }$

t = 2.8840

Degrees of freedom

ν = n-1 = 11-1 =10

Level of significance

$t_{\frac{\alpha }{2} } = t_{\frac{0.05}{2} } = t_{0.025}$

$t_{0.025} , 10 = 3.5814$

Step(iii):-

The calculated t - value t = 2.88 > 3.58 at 0.025 level of significance

Therefore null hypothesis is rejected

The data indicate that the dividend yield of all Australian bank stocks is higher than 7.9%

7 0

3 years ago

What is 2.85 to the nearest tenth?

Maru [420]

The answer is 2.9. You would round up since there is a 5

6 0

3 years ago

Read 2 more answers

Find the expected value of the winnings

Orlov [11]

The expected value of the winnings from the game is $4

<h3>How to determine the expected value?</h3>

The payout probability distribution is given as:

Payout ($) 2 4 6 8 10

Probability 0.5 0.2 0.15 0.1 0.05

The expected value is then calculated as:

$E(x) = \sum x * P(x)$

This gives

E(x) = 2 * 0.5 + 4 * 0.2 + 6 * 0.15 + 8 * 0.1 + 10 * 0.05

Evaluate the expression

E(x) = 4

Hence, the expected value of the winnings from the game is $4