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Anna007 [38]
3 years ago
8

Sylvia has 51.78 pounds of dirt. She has 20 buckets and would like to put 2.56 pounds of dirt into each bucket. Are there enough

buckets for all of the dirt to be in a bucket?
Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0

Answer:

There isn't enough buckets for all of the dirt to be in a bucket.

Step-by-step explanation:

From the question,

She has 20 buckets and would like to put 2.56 pounds of dirt into each bucket.

Hence, the total number of dirt that can be in the 20 buckets is

20 × 2.56

= 51.20 pounds of dirt

Slyvia has 51.76 pounds of dirt.

51.76 - 51.20

= 0.56 pounds of dirt.

From the above calculation we can say that there isn't enough buckets for all of the dirt to be in a bucket

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Brittney sewed together fabric triangles to make the quilt square shown below.
Snezhnost [94]

Answer:

6 in. per triangle & 24 in total (white squares only)

Step-by-step explanation:

 So, one side is 12 inches and each side is made up of one blue and one white. With this you can just divide each side by 2, getting 6. There are 4 sides so,

4 sides X 6 in. per each square= 24

Therefore, she used <u><em>24 in. in total</em></u> and 6 for each triangle.

Hoped this helped!

6 0
3 years ago
Rlly need this answered
adoni [48]

Answer:

It is J hope this helps! :)

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3 years ago
Consider the equation |1/4+12|=x/2.Without calculating, how do you know x=-16 is an extraneous solution?
telo118 [61]

Without calculating, you can immediately see the absolute value sign, which implies that the final result (x) should be positive, not negative.  

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3 years ago
A manufacturer knows that their items have a normally distributed length, with a mean of 13.1 inches, and standard deviation of
Afina-wow [57]

Answer:

0.73% probability that their mean length is less than 11.1 inches

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are 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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation, which is also called standard error s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 13.1, \sigma = 4.1, n = 25, s = \frac{4.1}{\sqrt{25}} = 0.82

What is the probability that their mean length is less than 11.1 inches

This is the pvalue of Z when X = 11.1. So

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

By the Central Limit Theorem

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

Z = \frac{11.1 - 13.1}{0.82}

Z = -2.44

Z = -2.44 has a pvalue of 0.0073.

0.73% probability that their mean length is less than 11.1 inches

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4 years ago
3. Is AABC a right triangle? Explain​
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Answer:

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Step-by-step explanation:

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