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Novay_Z [31]
3 years ago
12

Your dog weighed 42 and eight ninths pounds. The dog gained 3 and one half. You put him on a diet and he lost 6 and seven sixtee

nths pounds. About how much does your dog weigh now? Use rounding to estimate. A. About 40 and one half pounds. B. About 33 pounds C. About 41 pounds D. About 53 pounds
Mathematics
1 answer:
algol133 years ago
3 0

Answer:

The answer is option (A), about 40 and one half pounds

Step-by-step explanation:

Step 1: Determine the initial weight of the dog

Initial weight of dog=42 8/9 pounds

Step 2: Calculate weight after gain

Weight after gain=Initial weight+additional weight gain

where;

Initial weight=42 8/9 pounds

Additional weight gain=3 1/2 pounds

replacing;

Weight after gain=(3 1/2)+(42 8/9)=7/2+386/9=46 7/18

Weight after gain=46 7/18 pounds

Step 3: Calculate weight after you put him on a diet

Weight after diet=Weight after gain-weight lost after diet

where;

Weight after gain=46 7/18 pounds

Weight lost after diet=6 7/16 pounds

replacing;

Weight after diet=(46 7/18)-(6 7/16)=(835/18)-(103/16)=39 137/144 pounds

Weight after diet= About 40 and one half pounds

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Alekssandra [29.7K]

Answer:

<u>At a constant speed of 0.5 miles per minute, the ostrich can run 20 miles in 40 minutes. The unit rate is 0.5 miles per minute.</u>

Step-by-step explanation:

Distance run by the ostrich = 6 miles

Time the ostrich takes to run this distance = 12 minutes

Speed of the ostrich = Distance / Time

Speed of the ostrich = 6 miles / 12 minutes = 0.5 miles per minute

How far the  ostrich could run in 40 minutes?

If the ostrich run 0.5 miles per minute, this is the formula:

Speed of the ostrich * 40 minutes = Distance

0.5 miles/minute * 40 minutes = 20 miles (Minutes is simplified in the numerator and the denominator on the left side)

<u>At a constant speed of 0.5 miles per minute, the ostrich can run 20 miles in 40 minutes. The unit rate is 0.5 miles per minute.</u>

6 0
3 years ago
Why do monkeys eat bananas?
Softa [21]

Answer:

because they are good ;)

Step-by-step explanation:

Monkeys like to eat bananas because these sweet fruits are found in the wild where primates live. Monkeys are omnivores that eat fruit, vegetables and foliage, not just bananas, according to the Great Ape Trust.


4 0
2 years ago
Consider the sequence 1, 4, 16, 64, 128, … Which statement describes the sequence? The sequence diverges. The sequence converges
vagabundo [1.1K]

Answer:

The sequence diverges

Step-by-step explanation:

The given sequence is 1, 4, 15, 64, 128, ...

By observation the sequence can be expressed as a sequence of 4 raised to increasing powers of 'x' as follows;

The sequence is 4ˣ, where; x = 0, 1, 2, 3, 4, ..., ∞

Therefore, the values of each subsequent term of the sequent is higher than the term it succeeds, the sequence does not converge to a given limit value and therefore, the sequence diverges.

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2 years ago
A flashlight battery manufacturer makes a model of battery whose mean shelf life is three years and four months, with a standard
Vladimir [108]

Answer:

17,065 of those batteries can be expected to last between three years and one month and three years and seven months

Step-by-step explanation:

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.

In this problem:

I will calculate the time in months. Each year has twelve months.

Mean shelf life is three years and four months, with a standard deviation of three months. So

\mu = 3*12 + 4 = 40

\sigma = 3

Proportion lasting between three years and one month and three years and seven months:

This is the pvalue of Z when X = 3*12 + 7 = 43 subtracted by the pvalue of Z when X = 3*12 + 1 = 37

X = 43

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

Z = \frac{43 - 40}{3}

Z = 1

Z = 1 has a pvalue of 0.8413.

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

Z = \frac{37 - 40}{3}

Z = -1

Z = -1 has a pvalue of 0.1587.

0.8413 - 0.1587 = 0.6826

Out of 25,000 batteries:

68.26% of the batteries are expected to last between three years and one month and three years and seven months.

0.6826*25000 = 17,065

17,065 of those batteries can be expected to last between three years and one month and three years and seven months

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