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12345 [234]
3 years ago
14

What ratio is equivalent to 2:9

Mathematics
1 answer:
Lorico [155]3 years ago
6 0

Answer:

8:36

Step-by-step explanation:

Factors: 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36

GCF: 4

8 ÷ 4 = 2 36 ÷ 4 = 9

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At a local grocery store, apples cost $0.50 each and bananas cost $0.30 each.
-BARSIC- [3]

1.X represents the number of apples, the y represents the number of bananas.

3. 0.50 represents the price of apples and 0.30 represents the price of bananas.


3 0
3 years ago
The sum of 42 and x is equal to 97.45. What's the equation for the sentence?!! Help!
gogolik [260]

Answer:

X = 97.45 - 42

Step-by-step explanation:

If 42 + X = 97.45, X needs to be 97.45 - 42

you can do the same thing with smaller numbers, for example:

5 + X = 7

7 - 5= 2 and you can check for sure that this is the answer by adding them together 5 + 2= 7 so it's definitely the right answer

so for this question, 97.45- 42 = 55.45 so that's X

you can check that by 55.45 + 42 and if the answer is 97.45 that's the right answer!

I hope that makes sense

8 0
3 years ago
What is the simplified form of 30 times x to the sixth power over 14 times y to the fifth power times the fraction 7 times y-squ
Sonbull [250]
If we convert the given in its mathematical form, we have,

                      (30x⁶/14y⁵)(7y²/6x⁴)
It can be observed that the numerator of the first and the denominator of the second have a common factor of 6x⁴. Also, the denominator of the first and the numerator of the second expression have a common factor of 7y².

                      ((6x⁴)(5x²)/(7y²)(2y³))(7y²/6x⁴)

Cancellation of the common terms will give us an answer of,
  
                               <em>5x²/2y³

</em>
<em />Therefore, the simplified version of the involved operation is 5x²/2y³. <em>
</em>
6 0
3 years ago
40% of the 35 male guests wear glasses
AVprozaik [17]
14 males wear glasses 

40*35= 1400 
1400/100= 14
7 0
3 years ago
P(X&lt; ) 1-P(X&gt; ) A softball pitcher has a 0.626 probability of throwing a strike for each curve ball pitch. If the softball
Mashutka [201]

Answer:

19.49% probability that no more than 16 of them are strikes

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 30, p = 0.626

So

\mu = E(X) = np = 30*0.626 = 18.78

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.626*0.374} = 2.65

What is the probability that no more than 16 of them are strikes?

Using continuity correction, this is P(X \leq 16 + 0.5) = P(X \leq 16.5), which is the pvalue of Z when X = 16.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{16.5 - 18.78}{2.65}

Z = -0.86

Z = -0.86 has a pvalue of 0.1949

19.49% probability that no more than 16 of them are strikes

7 0
3 years ago
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