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3 years ago

Divide and write in simplest form.

Mathematics

1 answer:

iren2701 [21]3 years ago

4 0

Answer:

1. $\frac{3}{17}$ (3/17)

2. $\frac{3}{7}$ (3/7)

3. $\frac{45}{184}$ (45/184)

Step-by-step explanation:

1. $\frac{\frac{3}{5} }{3\frac{2}{5}}$ = $\frac{\frac{3}{5} }{\frac{17}{5}}$ = $\frac{\frac{3}{1} }{\frac{17}{1}}$ = $\frac{3}{17}$

2. $\frac{2}{4\frac{2}{3}}$ = $\frac{\frac{2}{1} }{\frac{14}{3}}$ = $\frac{2}{1} /\frac{14}{3}$ = $\frac{2}{1} *\frac{3}{14}$ = $\frac{6}{14}$ = $\frac{3}{7}$

3. $\frac{\frac{5}{4} }{5\frac{1}{9} }$ = $\frac{\frac{5}{4} }{\frac{46}{9}}$ = $\frac{5}{4}/\frac{46}{9}$ = $\frac{5}{2}/\frac{23}{9}$ = $\frac{5}{2}*\frac{9}{23}$ = $\frac{45}{184}$

Hope this helps!

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(n/2)^2 + (n/2)^2 = 16 (simplify and get (n))

mote1985 [20]

(¹/₂n)² + (¹/₂n)² = 16
¹/₄n² + ¹/₄n² = 16
¹/₂n² = 16
2(¹/₂n²) = 2(16)
n² = 32
√n² = √32
n = ±4√2

4 0

4 years ago

From the sum of 5 – 9i and -4 + 7i, subtract 14 – 3i. brainly

nadezda [96]

= (5 - 9i) + (-4 + 7i) - (14 - 3i)
Combine like terms; two negatives make a positive when you remove parentheses

= (5 + -4 + -14) + (-9i + 7i + 3i)

= -13 + 1i or -13 + i

ANSWER: -13 + i (first choice)

Hope this helps! :)

4 0

3 years ago

The amount of coffee that a filling machine puts into an 8 dash ounce 8-ounce jar is normally distributed with a mean of 8.2 oun

Inessa [10]

Answer:

73.3% probability that the sampling error made in estimating the mean amount of coffee for all 8 dash ounce 8-ounce jars by the mean of a random sample of 100 jars, will be at most 0.02 ounce

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theore.

Normal probability distribution

Problems of normally distributed samples are 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

$\mu = 8.2, \sigma = 0.18, n = 100, s = \frac{0.18}{\sqrt{100}} = 0.018$

What is the probability that the sampling error made in estimating the mean amount of coffee for all 8 dash ounce 8-ounce jars by the mean of a random sample of 100 jars, will be at most 0.02 ounce

That is, probability of the sample mean between 8.2-0.02 = 8.18 and 8.2 + 0.02 = 8.22, which is the pvalue of Z when X = 8.22 subtracted by the pvalue of Z when X = 8.18.

X = 8.22

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

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{8.22 - 8.2}{0.018}$

$Z = 1.11$

$Z = 1.11$ has a pvalue of 0.8665.

X = 8.18

$Z = \frac{X - \mu}{s}$

$Z = \frac{8.18 - 8.2}{0.018}$

$Z = -1.11$

$Z = -1.11$ has a pvalue of 0.1335.

0.8665 - 0.1335 = 0.7330

73.3% probability that the sampling error made in estimating the mean amount of coffee for all 8 dash ounce 8-ounce jars by the mean of a random sample of 100 jars, will be at most 0.02 ounce

6 0

3 years ago

Use substitution to answer the system 2x-3y=17 x=2y+10 x= y=

bearhunter [10]

First, you substitute each x in the first equation- 2(2y+10)-3y=17
Next, simplify - 4y+20-3y=17
y+20=17
y=-3

Next, substitute the y in for the second equation, x=2y+10
x=2(-3)+10
x=-6+10
x=4
ANswer:
x=4
y=-3
Hope this helps!

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3 years ago

On a day in the month of February the temperature in barrow Alaska is 221*f at the same time the temperature in northway Alaska

ipn [44]

Give the Full Question then I will solve it..

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3 years ago