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2 years ago

When a jug is half-filled with marbles, it weighs 2.6 kg. If the jug weighs 4 kg when full, find the weight of the empty jug.

Mathematics

2 answers:

Fittoniya [83]2 years ago

8 0

Answer:

1.2 kg

Step-by-step explanation:

filling the jug up half way adds 1.4 kg to the weight.

2 x 1.4 - 2.8 kg of marbles when full

4-2.8 = 1.2 kg

Varvara68 [4.7K]2 years ago

7 0

Answer:

1.2kg

Step-by-step explanation:

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Toyota advertises that their Toyota Highlander Hybrid provide 28 MPG. To test this, an experiment involving a sample of 20 Toyot

klemol [59]

Answer:

We accept the null hypothesis.

Step-by-step explanation:

We are given the following in the question:

Sample mean, $\bar{x}$ = 28.8 miles per gallon

Sample size, n = 120

Alpha, α = 0.01

Sample standard deviation, σ = 6.89 miles per gallon

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 28\text{ miles per gallon.}\\H_A: \mu \neq 28\text{ miles per gallon.}$

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

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n-1}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{28.8 - 28}{\frac{6.89}{\sqrt{19}} } = 0.5061$

Now, $t_{critical} \text{ at 0.01 level of significance, 19 degree of freedom } =\pm 2.8609$ Since,

$-2.609 < t_{stat} < 2.8609$

We fail to reject the null hypothesis and accept it.

We accept the null hypothesis and the population mean MPG of Toyota Highlander Hybrid vehicles is equal to 28 miles per gallon.

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2 years ago

Garth has x books which is 20 more books than Henrietta has. If Garth gives Henrietta 7 books how many books does Henrietta now

hammer [34]

Answer:

she should have x-27 books left

Step-by-step explanation:

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2 years ago

One in a hundred million people is a genius. If they are a genius, the probability that the person is acting extremely quirky is

Mila [183]

Answer:

The correct option is E) About 1 in a million.

Step-by-step explanation:

Consider the provided information.

It is given that one in a hundred million people is a genius.

Let G represents the Genius and Q represents the quirky.

We need to find the probability that someone is acting quirky- what is the probability that they are a genius.

The probability that person is quirky is: $P(Q)=0.999\cdot0.00000001+0.01\cdot0.99999999$

The probability of $P(Q\cap G)=0.999\cdot0.00000001$

Hence, the required probability is:

$P(G|Q)=\frac{P(Q\cap G)}{P(Q)}$

$P(G|Q)=\frac{0.999\cdot0.00000001}{0.999\cdot0.00000001+0.01\cdot0.99999999}$

$P(G|Q)\approx 9.98999\times10^{-7}$

Which is near about 1 in a million.

Hence, the correct option is E) About 1 in a million.

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2 years ago

Mr. Peter charges $2.25 for the usage of laptop for 9 hours. How much Victor needs to pay for 15 hours of usage?

Papessa [141]

Answer:

3.75

Step-by-step explanation:

2.25 divided by 9

= 0.25

then

0.25 * 9

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2 years ago

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ris is a botanist who works for a garden that many tourists visit. The function f(s) = 2s + 25 represents the number of flowers

olasank [31]

Answer:

A. f(s) = 2s + 34

B. Mole

C. f(s) = 2s + 54

Step-by-step explanation:

A. Its a prediction the 34 can be any number reasonably close to 25

B. Amount of substance - mole (mole)

c. f(s) = 2s + 54

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2 years ago