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True [87]
3 years ago
8

Some of Amber's daily activities are listed here. Use these descriptions to select the word or symbol that correctly completes e

ach sentence. • Amber spends 3/16 of each day doing homework. • Amber spends 0.25 of each day at school. • Amber spends 1/3 of each day sleeping. (A) 3/16 of a day 0.25 of a day (B) 0.25 of a day 1/3 of a day (C) Amber spends time doing homework than she does at school. (D) Amber spends time sleeping than she does at school.
Mathematics
1 answer:
san4es73 [151]3 years ago
7 0

Answer: (D) Amber spends time sleeping than she does at school.

Step-by-step explanation:

Given that :

• Amber spends 3/16 of each day doing homework.

• Amber spends 0.25 of each day at school.

• Amber spends 1/3 of each day sleeping.

Hence,

Amber spends 0.1875 of a day doing homework, which is (0.1875 * 24) = 4.5 hours

0.25 of each day at school ; (0.25 * 24) = 6 hours

1/3 of each day sleeping ; (1/3 * 24) = 8 hours

Time spent sleeping = 8 hours

Time spent in school = 6 hours

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6 0
4 years ago
Find the missing length indicated 144 and 60
Alexxandr [17]

The missing length in the right triangle as given in the task content is; 156.

<h3>What is the missing length indicated?</h3>

It follows from the complete question that the triangle given is a right triangle and the missing length (longest side) can be evaluated by means of the Pythagoras theorem as follows;

x² = 144² + 60²

x² = 20736 + 3600

x² = 24,336

x = √24336

x = 156.

Remarks: The complete question involves a right triangle and the missing length is the longest side.

Read more on Pythagoras theorem;

brainly.com/question/343682

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7 0
2 years ago
For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.
Yakvenalex [24]

Answer:

Sd(X) =\sqrt{1.2}=1.095

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=5, p=0.4)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

The mean for the binomial distribution is given by:

E(X) =np=5*0.4=2

And the variance is given by:

Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2

And the deviation is just the square root of the variance so we got:

Sd(X) =\sqrt{1.2}=1.095

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3 years ago
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