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Assoli18 [71]
3 years ago
6

Write in expanded form 51.242.​

Mathematics
1 answer:
lord [1]3 years ago
3 0

Answer:

50 + 1 + \frac{2}{10} + \frac{4}{100} + \frac{2}{1,000}

Step-by-step explanation:

This is the answer because:

1) 50 and 1 equal to 51

2) The fraction forms of a decimal number is: the decimal number/the decimal number place value

3) Therefore, the answer is 50 + 1 + \frac{2}{10} + \frac{4}{100} + \frac{2}{1,000}

Hope this helps!

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Simplify [-2.8]   please help me how to simplify this math proplem??????<br /><br />
Karolina [17]
In fraction form the answer would be -2 4/5.
7 0
3 years ago
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Let x be the ages of students in a class. Given the frequency distribution f(x) above, determine the following probabilities:.
lora16 [44]

Probabilities are used to determine the chances of events

The value of the probability P(x < 24) is 0.7895

<h3>How to calculate the probability P(x < 24)?</h3>

This is calculated as:

P(x < 24) = \frac{n(x < 24)}{Total}

So, we have:

P(x < 24) = \frac{22 + 3 + 5}{22 + 3 + 5 + 4 + 4}

Evaluate the sums

P(x < 24) = \frac{30}{38}

Evaluate the quotient

P(x < 24) = 0.7895

Hence, the value of the probability P(x < 24) is 0.7895

Read more about probabilities at:

brainly.com/question/9385303

8 0
3 years ago
In the past, 21% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm ha
Afina-wow [57]

Answer:

A sample size of 79 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

\pi = 0.21

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.  

What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.09?

A sample size of n is needed.

n is found when M = 0.09. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.09 = 1.96\sqrt{\frac{0.21*0.79}{n}}

0.09\sqrt{n} = 1.96\sqrt{0.21*0.79}

\sqrt{n} = \frac{1.96\sqrt{0.21*0.79}}{0.09}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.21*0.79}}{0.09})^{2}

n = 78.68

Rounding up to the nearest whole number.

A sample size of 79 is needed.

4 0
3 years ago
4. If A = (-4, -5) and B = (-1, -10), what is the length of segment AB? Round your answer to the nearest hundredth.
HACTEHA [7]

Answer:

5.83095 or √34

Step-by-step explanation:

Find the difference between coordinates:

(x2-x1) = (-1 - -4) = 3

(y2-y1) = (-10 - -5) = -5

Square the results and sum them up:

(3)2 + (-5)2 = 9 + 25 = 34

Now Find the square root and that's your result:

Exact solution: √34 = √34

Approximate solution: 5.831

7 0
3 years ago
What is the solution to -4|-2x + 6| = -24?
Natalka [10]
Last one i think

x=0 or x=6
4 0
3 years ago
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