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3 years ago

Which of the following statements is true?

1 answer:

3 0

The first one is correct.
There is a VERY simple way you can do this
Here is how.
It's called the "Butterfly Method" (IDK if anyone calls it that, but I do!)
So basically, you look at the numerator for one of your numbers, and the denominator of the other number, and you multiply them! So...
1/7, you would take the seven...
1/4, and multiply it by the one...
so 7×1
and you get seven!
Then you do...
1/7, take the one...
1/4, take the four...
so 1×4
and you get four!
Whichever one is bigger (or smaller, but only if you are trying to find out which fraction is smaller...) is your answer!
Hope this helped!!!!!!!!!!!!!!

You might be interested in

2+2=????????????????????????????????

arlik [135]

Answer:

4 ;P !!!!!!!!!!!!!!!!!!!!!!

8 0

3 years ago

Suppose that you currently own a clothes dryer that costs $25 per month to operate A new efficient dryer costs $590 and has esti

MArishka [77]

Answer:

After 59 months the new dryer will pay for itself.

Step-by-step explanation:

Let the new clothes dryer takes 'x' months to pay for itself.

Then the operating cost of the new dryer will be = 15x

Since cost of the new dryer = $590

So, total cost of the dryer in x months = $(590 + 15x)

Now we know old dryer's operating cost is = $25 per month

So, operating cost for x months = 25x

By the time when new dryer's total cost becomes equal to the old dryer's operational cost, the new dryer will pay for itself.

Now we can get the value of x by equating the old dryer's operational cost and the new dryer's total cost.

25x = 590 + 15x

25x - 15x = 590

10x = 590

x = $\frac{590}{10}$

x = '59 months'

6 0

3 years ago

a cone has a radius of 6cm and height 9 calculate a)the volume and curved surface area b) total surface area

Orlov [11]

Answer:

V = 339.3 cm³; L = 203.9 cm²; A = 317.0 cm²

Step-by-step explanation:

a) Volume

The formula for the volume (V) of a cone is

V = ⅓πr²h

V = ⅓π × 6² × 9

V = ⅓π × 36 × 9

V = 108π cm³

V ≈ 339.3 cm³

=====

Curved surface area

The formula for the lateral surface area (L) of a cone is

L = πr√(r² + h²)

L = π×6√(36 + 81)

L = 6π√[9(4 + 9)]

L = 6π√(9 × 13)

L = 18π√13 cm²

L ≈ 203.9 cm²

===============

b) Base surface area

The base is a circle, so the formula for base surface area (B) is

B = πr²

B = π×6²

B = 36π cm²

B ≈ 113.1 cm²

=====

Total surface area

A = L + B

A = 18π√(13 +36π)

A = 18π(2 + √13) cm²

A ≈ 203.9 + 113.1

A ≈ 317.0 cm²

3 0

3 years ago

A selective university advertises that 96% of its bachelor’s degree graduates have, on graduation day, a professional job offer

OLEGan [10]

Answer:

The probability is $P( p < 0.9207) = 0.0012556$

Step-by-step explanation:

From the question we are told

The population proportion is $p = 0.96$

The sample size is $n = 227$

The number of graduate who had job is k = 209

Generally given that the sample size is large enough (i.e n > 30) then the mean of this sampling distribution is

$\mu_x = p = 0.96$

Generally the standard deviation of this sampling distribution is

$\sigma = \sqrt{\frac{p (1 - p )}{n} }$

=> $\sigma = \sqrt{\frac{0.96 (1 - 0.96 )}{227} }$

=> $\sigma = 0.0130$

Generally the sample proportion is mathematically represented as

$\^ p = \frac{k}{n}$

=> $\^ p = \frac{209}{227}$

=> $\^ p = 0.9207$

Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as

$P( p < 0.9207) = P( \frac{\^ p - p }{\sigma } < \frac{0.9207 - 0.96}{0.0130 } )$

$\frac{\^ p - p}{\sigma } = Z (The \ standardized \ value\ of \ \^ p )$

$P( p < 0.9207) = P(Z< -3.022 )$

From the z table the area under the normal curve to the left corresponding to -3.022 is

$P(Z< -3.022 ) = 0.0012556$

=> $P( p < 0.9207) = 0.0012556$

6 0

3 years ago

If the outliers are not included, what is the mean of the data? 76,79,80,82,50,78,83,79,81,82.

natta225 [31]

50 is the only outlier so take 50 out of the set then add the other 9 data points and divide by 9.<span>
76 + 79 + 80 + 82 + 78 + 83 + 79 + 81 + 82 = 720 / 9 = 80</span>

4 0

3 years ago