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3 years ago

Which statement about 3 multiplied by 2/3 must be true?

Mathematics

1 answer:

Alla [95]3 years ago

5 0

Step-by-step explanation:

The statement is 3 multiplied by 2/3. Here, the first no of 3 and the other one is 2/3.

It can be written as follows :

$3\times \dfrac{2}{3}$

3 is present at the numerator as well as the denominator. It will cancel out.

So,

So, 3 multiplied by 2/3 equals 2.

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Katrina drinks 0.5 gallons of water per day which expression shows how to find the number of cups of water she drinks in a week

kobusy [5.1K]

Answer:

56 cups of water

Step-by-step explanation:

Katrina drinks 0.5 gallons of water per day

We have 7 days in a week, hence, the number of gallons of water she drinks per week is calculated as:

1 day = 0.5 gallons

7 days = x

Cross Multiply

1 day × x = 7 days × 0.5 gallons

x = 7 days × 0.5 gallons/1 day

x = 3.5 gallons

Note that 16 cups = 1 gallon

The number of cups of water she drinks per week is

1 gallon = 16 cups

3.5 gallons = x

Cross Multiply

1 gallons × x = 3.5 gallons × 16 cups

x = 3.5 gallons × 16 cups/1 gallons

x = 56 cups

Therefore, Katrina drinks 56 cups of water in a week

3 0

2 years ago

A random sample of 100 automobile owners in thestate of Virginia shows that an automobile is driven onaverage 23,500 kilometers

Anastaziya [24]

Answer:

a) 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

Step-by-step explanation:

Given that:

Mean (μ) = 23500 kilometers per year

Standard deviation (σ) = 3900 kilometers

Confidence level (c) = 99% = 0.99

number of samples (n) = 100

a) α = 1 - c = 1 - 0.99 = 0.01

$\frac{\alpha }{2} =\frac{0.01}{2}=0.005\\ z_{\frac{\alpha }{2}}=z_{0.005}=2.57$

Using normal distribution table, $z_{0.005$ is the z value of 1 - 0.005 = 0.995 of the area to the right which is 2.57.

The margin of error (e) is given as:

$e= z_{0.005}\frac{\sigma}{\sqrt{n} } = 2.57*\frac{3900}{\sqrt{100} } =1002.3$

The 99% confidence interval = (μ - e, μ + e) = (23500 - 1002.3, 23500 + 1002.3) = (22497.7, 24502.3)

Confidence interval = 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

5 0

3 years ago

solve quadratic by taking square roots. as=a,-a where a and -a the values you found when when solving. Round to nearest tenth. 2

attashe74 [19]

Answer:

8.1

Step-by-step explanation:

2x^2 -9 = 121

+9 +9

2x^2 = 130

/2 /2

x^2 = 65

x= sqrt (65)

x= 8.06225...

x = 8.1

6 0

3 years ago

James when to sleep at 9:10 he woke up at 9:45 how long was he sleep

horrorfan [7]

Answer:

35 minutes

Step-by-step explanation:

Take the lastest time and subtract the earliest time

9:45

9:10

------------

:35

35 minutes

8 0

3 years ago

Read 2 more answers

Double my number<br> add four<br> subtract my number <br> and<br> subtract three

Elena L [17]

X is your number

double it means 2 times x or 2x

add 4
2x+4

subtract my number
2x+4-x=x+4

subtract 3

x+4-3=x+1

the result is x+1 or your number plus 1

3 0

3 years ago