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3 years ago

What is the reciprocal of 6/5

Mathematics

1 answer:

Olegator [25]3 years ago

7 0

The reciprocal should be the number flipped...

in this case..

$\frac{5}{6}$ is the reciprocal.

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Bobs hardware sells buckets in 5 different sizes. The tiny bucket holds 5 quarts, the small holds 10 quarts, the medium holds 20

Sphinxa [80]

Bob's hardware sells buckets in five different sizes.

The tiny bucket holds 3 quarts,

The small bucket holds 6 quarts,

The medium bucket holds 12 quarts,

The large bucket holds 24 quarts and

There is a relation between the size of the bucket and its volume.

We could see with increase in size the units of quarts double

Therefore the extra large bucket will hold 24*2 = 48 quarts

6 0

4 years ago

Find the cosine of ∠W.

allochka39001 [22]

Answer: 8/17

Explanation:

We'll need the pythagorean theorem to find the missing side length.

$a^2 + b^2 = c^2\\\\15^2 + b^2 = 17^2\\\\225 + b^2 = 289\\\\b^2 = 289 - 225\\\\b^2 = 64\\\\b = \sqrt{64}\\\\b = 8$

Now we can compute the cosine ratio.

cos(angle) = adjacent/hypotenuse

cos(W) = VW/UW

cos(W) = 8/17

4 0

2 years ago

Algebraically solve the inequality: 5x-6>/1+2(4x+1)

elena-14-01-66 [18.8K]

Answer:

x<-3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

3 0

4 years ago

Suppose that diameters of a new species of apple have a bell-shaped distribution with a mean of 7.42cm and a standard deviation

mina [271]

Answer:

68% of the diameters are between 7.06 cm and 7.78 cm

Step-by-step explanation:

Mean diameter = μ = 7.42

Standard Deviation = σ = 0.36

We have to find what percentage of diameters will be between 7.06 cm and 7.78 cm. According to the empirical rule, for a bell-shaped data:

68% of the values are within 1 standard deviation of the mean. i.e. between μ - 1σ and μ + 1σ
95% of the values are within 2 standard deviations of the mean. i.e. between μ - 2σ and μ + 2σ
99.7% of the values are within 3 standard deviation of the mean. i.e. between μ - 3σ and μ + 3σ

So, we first need to find how many standard deviations away are the given two data points. This can be done by converting them to z-score. A z score tells us that how far is a data value from the mean. The formula to calculate the z-score is:

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

x = 7.06 converted to z score will be:

$z=\frac{7.06-7.42}{0.36}=-1$

x = 7.78 converted to z score will be:

$z=\frac{7.78-7.42}{0.36}=1$

This means the two given values are 1 standard deviation away from the mean and we have to find what percentage of values are within 1 standard deviation of the mean.

From the first listed point of empirical formula, we can say that 68% of the data values lie within 1 standard deviation of the mean. Therefore, 68% of the diameters are between 7.06 cm and 7.78 cm

6 0

3 years ago

PLS ANSWER BECAUSE I'M HAVING A PANIC ATTACK

oee [108]

Hi! I think I understand the question.

The error in the plot is the median and the lower quartile.

From smallest to largest, these are the numbers with the median, lower quartile, and upper quartile are pointed out:

3,3,4| 4.5 |4,5,5| 5.5 |6,7,7| 7.5 |8,8,9

As you can see above, the correct median and lower quartile are 5.5 and 4.5. In your plot, the median and lower quartile are 6 and 4.

I hope this helped and I hope you're feeling better. :)

4 0

3 years ago