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photoshop1234 [79]
3 years ago
10

Write 6.25 as a fraction 

Mathematics
2 answers:
valentina_108 [34]3 years ago
4 0
6.25 is equivalent to 6 and 1/4. To find the compound fraction, multiply 4, present in the denominator, and 6. Then add 1, present in the numerator. The answer should be over four. So: 4*6=24, 24+1=25, 25/4= 6.25
leva [86]3 years ago
4 0

Answer:

6 1/4

Step-by-step explanation:

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A particular fruit's weights are normally distributed, with a mean of 476 grams and a standard deviation of 36 grams. The heavie
4vir4ik [10]

Answer:

Step-by-step explanation:

Given that:

mean (μ) = 476 grams, standard deviation (σ) = 36 grams. P(z) = 19%

The z score shows by how many standard deviation the raw score is above or below the mean. It is given by the equation:

z=\frac{x-\mu}{\sigma}

Since the 19% weigh more, therefore 81% (100% - 19%) weigh less.

From the normal distribution table, the z score that corresponds to a probability of 81%(0.81) = 0.87

We substitute z = 0.88 in the z score equation to find the raw score. Therefore:

z=\frac{x-\mu}{\sigma}\\0.87=\frac{x-476}{36}\\ x-476=31.32\\x=31.32+476\\x=507.32\\

x ≅ 507 grams

Therefore 19% of fruits weigh more than 507 grams

7 0
3 years ago
Can anyone help me solve a trigonomic identity problem and also help me how to do it step by step?
dusya [7]
\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\qquad csc(\theta)=\cfrac{1}{sin(\theta)}
\\\\\\
sin^2(\theta)+cos^2(\theta)=1\\\\
-------------------------------\\\\

\bf \cfrac{cos(\theta )cot(\theta )}{1-sin(\theta )}-1=csc(\theta )\\\\
-------------------------------\\\\
\cfrac{cos(\theta )\cdot \frac{cos(\theta )}{sin(\theta )}}{1-sin(\theta )}-1\implies \cfrac{\frac{cos^2(\theta )}{sin(\theta )}}{\frac{1-sin(\theta )}{1}}-1\implies 
\cfrac{cos^2(\theta )}{sin(\theta )}\cdot \cfrac{1}{1-sin(\theta )}-1
\\\\\\
\cfrac{cos^2(\theta )}{sin(\theta )[1-sin(\theta )]}-1\implies 
\cfrac{cos^2(\theta )-1[sin(\theta )[1-sin(\theta )]]}{sin(\theta )[1-sin(\theta )]}

\bf \cfrac{cos^2(\theta )-1[sin(\theta )-sin^2(\theta )]}{sin(\theta )[1-sin(\theta )]}\implies \cfrac{cos^2(\theta )-sin(\theta )+sin^2(\theta )}{sin(\theta )[1-sin(\theta )]}
\\\\\\
\cfrac{cos^2(\theta )+sin^2(\theta )-sin(\theta )}{sin(\theta )[1-sin(\theta )]}\implies \cfrac{\underline{1-sin(\theta )}}{sin(\theta )\underline{[1-sin(\theta )]}}
\\\\\\
\cfrac{1}{sin(\theta )}\implies csc(\theta )
7 0
3 years ago
Heron Island is a coral cay in the Great Barrier Reef. Around Heron Island (and elsewhere in Australia) there are 2 color morphs
kobusy [5.1K]

In case A, as the error would be a difference of 1, the assumption could be mantained, but in case B the difference will be bigger, showing that the ratio is not 3:1 but 4:1.

<h3><u>Ratios</u></h3>

Given that a preliminary study was carried out to test the hypothesis that the ratio of white to dark herons on the island was 3:1, but A) a small census found 16 white morphs and 4 dark, to determine if the assumption of a 3 :1 ratio could be rejected, and B) to determine the same question if the census were larger with 160 white morphs and 40 dark, the following calculations must be made:

A)

  • 3 + 1 = 4
  • 16 + 4 = 20
  • 4 = 20
  • 3 = X
  • 60 / 4 = X
  • 15 = X
  • Therefore, as the error would be a difference of 1, the assumption could be mantained.

B)

  • 3 + 1 = 4
  • 160 + 40 = 200
  • 150 = 3:1
  • In this case, the difference will be bigger, showing that the ratio is not 3:1 but 4:1.

Learn more about ratios in brainly.com/question/1504221

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2 years ago
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Aleks [24]

Answer:

y-1 = 2(x+2)

Step-by-step explanation:

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y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y -1 = 2(x - -2)

y-1 = 2(x+2)

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2 years ago
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Rina8888 [55]

Answer:

46°

Step-by-step explanation:

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