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3 years ago

Drag the values into the boxes to classify each number as rational or irrational. picture below pls help quick.

Mathematics

1 answer:

larisa [96]3 years ago

6 0

Answer:

Step-by-step explanation:

Rational numbers;

Numbers which can be written in the form of $\frac{p}{q}$ or repeating decimal numbers are the rational numbers.

Examples : 1, 2, $\frac{2}{3}$

Irrational numbers:

Numbers which can't be written in he form of a fraction or non repeating decimal numbers are the Irrational number.

Example: $\sqrt{8},\pi,\sqrt{\frac{8}{21} }$

From the given numbers,

Rational numbers: $\frac{11}{3}$ , 6.25, 0.01045, $\sqrt{\frac{16}{81} }$ , 0.424242....

Irrational numbers: $\sqrt{48}, \sqrt{\frac{3}{16} }$

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Give the rate in miles per hour. Round to the nearest tenth.<br> Caroline walks 9 inches per second.

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2 years ago

A family has two cars. During one particular week, the first car consumed 15 gallons of gas. The two cars Drove a combined total

julia-pushkina [17]

Answer:

Car 1 : 40 miles per gallon

Car 2: 25 miles per gallon

Step-by-step explanation:

family has two cars. During one particular week, the first car consumed 15 gallons of gas. The second car consumed 25 gallons of gas. The two cars Drove a combined total of 1475 miles and the sum of their fuel efficiency was 65 miles per gallon. What were the fuel efficiency of each of the cars that week

Given that :

Fuel efficiency , car 1 = x

Fuel efficiency , car 2 = y

x + y = 65 - - (1)

15x + 35y = 1475 - - - (2)

x = 65 - y

15(65-y) + 35y

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6 0

2 years ago

HELP!!! STATS!!!

Vadim26 [7]

Answer:

The 99% confidence interval is $165.776 < \mu < 180.224$

Step-by-step explanation:

From the question we are told that

The sample size is n = 100

The sample mean is $\= x = 173 \ days$

The population standard deviation is $\sigma = 28 \ days$

From the question we are told the confidence level is 99% , hence the level of significance is

$\alpha = (100 - 99 ) \%$

=> $\alpha = 0.01$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

$E = 2.58 * \frac{28 }{\sqrt{100} }$

=> $E = 7.224$

Generally 95% confidence interval is mathematically represented as

$\= x -E < \mu < \=x +E$

=> $173 -7.224 < \mu < 173 + 7.224$

=> $165.776 < \mu < 180.224$

4 0

2 years ago

The price of lettuce was $1.25 one week and $1.50 the next week. Find the percent of increase.

melomori [17]

So the lettuce went up by 0.25 or 25c, now, if we take 1.25 to be the 100%, how much is 0.25 in percentage off of it?

$\bf \begin{array}{ccllll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
1.25&100\\
0.25&x
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3 years ago