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2 months ago

7

Working alone, Jack can do a puzzle in 5 hours. With his brother's help, the two can do the same puzzle in 2 hours. How long wou

ld it take Jack's brother to do the puzzle alone?

1 answer:

zzz [12.3K]2 months ago

7 0

Answer:

3 hours and 20 minutes.

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Which number can each term of the equation be multiplied by to eliminate the fractions before solving? m – negative StartFractio

zzz [12365]

Answer: To remove fractions prior to solving, each term in the equation must be multiplied by $4$ .

Step-by-step explanation:

Consider the given expression:

$-\frac{3}{4}m-\frac{1}{2}=2+\frac{1}{4}m$

It is essential to simplify this before attempting to solve it.

Since the denominators differ, identifying the Least Common Denominator (LCD) is necessary.

Break down the denominators into their prime components:

$4=2*2=2^2\\2=2$

Select $2^2$ , as it possesses the greatest exponent. Thus:

$LCD=2^2=4$

Ultimately, to remove the fractions before solving, multiply both sides by 4:

$(4)(-\frac{3}{4}m)-(4)(\frac{1}{2})=(4)(2)+(4)(\frac{1}{4}m)\\\\-3m-2=8+m$

7 0

2 months ago

Camry is a popular car manufactured by Japanese Car manufacturer, Toyota. Being one of the best selling cars in USA, all of the

zzz [12365]

Answer:

Clarified below.

Detailed explanation:

A population refers to the entire group of data available for analysis, from which a smaller set is selected for closer scrutiny. This population can include individuals, articles, experiments, or measurements. Hence, a population represents a compilation of data pertaining to subjects that are linked by a shared feature.

A sample is a smaller, manageable portion derived from a larger group. It embodies the traits of a broader population. Samples are utilized in statistical tests when the overall population size is too vast to feasibly include all members in the analysis.

A parameter plays a significant role in statistical analysis. It refers to the attributes that characterize a specific population. Examples include population mean, population standard deviation, population proportion, etc.

When forming a statistical inference about the population being examined, the parameter value remains unknown because collecting data from every single individual in the population is unfeasible. Therefore, a sample is drawn from the population to draw conclusions about the parameter.

A statistic is the calculated value derived from this sample's characteristics. For instance, this includes sample mean, sample standard deviation, sample proportion, etc.

The matched pairs are represented as follows:

Population: 2. All Toyota Camry (2020 US) model vehicles.

Sample: 4. A selection of 117 Toyota Camry (2020 US) vehicles that were picked.

Parameter: 7. The mean mileage of all Toyota Camry (2020 US) model vehicles.

Statistics: 6. The city mileage averaged for the 117 sampled Toyota Camry (2020 US) cars, which is 27.8 mpg.

7 0

2 months ago

Eric is studying people's typing habits. He surveyed 525 people and asked whether they leave one space or two spaces after a per

lawyer [12517]

Response: (0.8115, 0.8645)

Step-by-step outline:

Define p as the proportion of individuals who leave one space after a sentence.

Provided: Sample size: n= 525

Number of respondents indicating they leave one space: 440

Thus, the sample proportion is: $\hat{p}=\dfrac{440}{525}\approx0.838$

The z-score for a 90% confidence interval is: 1.645

The formula for determining the confidence interval:

$\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$0.838\pm (1.645)\sqrt{\dfrac{0.838(1-0.838)}{525}}\\\\=0.838\pm (1.645)\sqrt{0.00025858285}\\\\=0.838\pm (1.645)(0.01608)\\\\= 0.838\pm0.0265\\\\=(0.838-0.0265,\ 0.838+0.0265)\\\\=(0.8115,\ 0.8645)$

Consequently, a 90% confidence interval for the proportion of people who leave one space after a period is: (0.8115, 0.8645)

3 0

1 month ago

Zaid has a peculiar pair of four-sided dice. When he rolls the dice, the probability of any particular outcome is proportional t

AnnZ [12381]

Answer: a) $\bold{\dfrac{3}{16}}$ b) $\bold{\dfrac{1}{36}}$

Step-by-step explanation:

a) To achieve an even total, there are 3 possible combinations:

1) Even, Even, Even, Even $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

2) Even, Even, Odd, Odd $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

3) Odd, Odd, Odd, Odd $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

Order is irrelevant

Summing these yields your final result: $\dfrac{1}{16}+\dfrac{1}{16}+\dfrac{1}{16}\quad =\large\boxed{\dfrac{3}{16}}$

b) If one die shows a 2 and another a 3, while the remaining two can show any digits, there’s only one way to get a 2, one way for a 3, and six potential numbers for each of the other two dice.

$\dfrac{1\times 1\times 6\times 6}{6^4}\quad =\dfrac{1}{6^2}\quad =\large\boxed{\dfrac{1}{36}}$

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2 months ago

If S is the midpoint of RT, RS = 5x + 17, and ST = 8x - 31, find the value of x and the measure of RS.

tester [12383]

Response: 13x-14

Detailed explanation:

5x+17+8x-31

4 0

2 months ago

Read 2 more answers