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1 year ago

Answer??????????????

Mathematics

1 answer:

Burka [1]1 year ago

3 0

Answer: 4/5 * 7^1/2 ==> 1st option

Step-by-step explanation:

3(7/25)^1/2-(28/25)^1/2+(63/25)^1/2=

3(7)^1/2 / 5 -(4*7)^1/2 / 5 +(9*7)^1/2 / 5=

3(7)^1/2 / 5 -2(7)^1/2 / 5 +3(7)^1/2 / 5=

(3-2+3)(7^1/2 / 5)=

4(7^1/2 / 5)=4/5 * 7^1/2 ==> 1st option

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What is the unit rate for 16 ounces (pint) at $3.93?

Juli2301 [7.4K]

Answer:

25 cents/ounce

Step-by-step explanation:

The unit rate means how much is one of the thing you are working with. In this case, the unit rate of a pint (16 ounces) is how much just one ounce will cost. So divide $3.93 by 16

$3.93/16 = $0.245625

Since we're working with money, round to the nearest hundredth

Unit rate is $0.25 per ounce, or 25 cents per ounce

8 0

3 years ago

Read 2 more answers

Flow meters are installed in urban sewer systems to measure the flows through the pipes. In dry weatherconditions (no rain) the

ziro4ka [17]

Answer:

a) $\frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}$

$363.90 \leq \sigma^2 \leq 4430.80$

Now we just take square root on both sides of the interval and we got:

$19.08 \leq \sigma \leq 66.56$

b) For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

Step-by-step explanation:

423.6, 487.3, 453.2, 402.9, 483.0, 477.7, 442.3, 418.4, 459.0

Part a

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case we need to find the sample standard deviation with the following formula:

$s=sqrt{\frac{\sum_{i=1}^8 (x_i -\bar x)^2}{n-1}}
And in order to find the sample mean we just need to use this formula:
[tex]\bar x =\frac{\sum_{i=1}^n x_i}{n}$

The sample deviation for this case is s=30.23

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=9-1=8$

The Confidence interval is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and the critical values are:

$\chi^2_{\alpha/2}=20.09$

$\chi^2_{1- \alpha/2}=1.65$

And replacing into the formula for the interval we got:

$\frac{(8)(30.23)^2}{20.09} \leq \sigma^2 \leq \frac{(8)(30.23)^2}{1.65}$

$363.90 \leq \sigma^2 \leq 4430.80$

Now we just take square root on both sides of the interval and we got:

$19.08 \leq \sigma \leq 66.56$

Part b

For this case we are 98% confidence that the true deviation for the population of interest is between 19.08 and 66.56

4 0

3 years ago

Simplify expression x8y-26/x14y-5 × x-39y-21

koban [17]

The simplified form of the expression is $x^{-45} y^{-42}$

<h3>Simplifying an expression</h3>

From the question, we are to simplify the given expression

The given expression is

$\frac{x^{8}y^{-26} }{x^{14}y^{-5} } \times x^{-39} y^{-21}$

The expression can be simplified as shown below

$\frac{x^{8}y^{-26} }{x^{14}y^{-5} } \times x^{-39} y^{-21}$

$\frac{x^{8} \times x^{-39} \times y^{-26} \times y^{-21} }{x^{14} \times y^{-5} }$

$\frac{x^{8+-39} \times y^{-26+-21} }{x^{14} \times y^{-5} }$

$\frac{x^{8-39} \times y^{-26-21} }{x^{14} \times y^{-5} }$

$\frac{x^{-31} \times y^{-47} }{x^{14} \times y^{-5} }$

Then,

$\frac{x^{-31} }{x^{14} } \times \frac{ y^{-47} }{ y^{-5} }$

$x^{-31-14} \times y^{-47--5}$

$x^{-31-14} \times y^{-47+5}$

$x^{-45} \times y^{-42}$

$x^{-45} y^{-42}$

Hence, the simplified form of the expression is $x^{-45} y^{-42}$

Learn more on Simplifying an expression here: brainly.com/question/2320607

#SPJ1

3 0

2 years ago

The speaker that has a regular price of $90 is on sale for Cyber Monday Amazon with 30% off. What is the sale price with 6% tax?

RUDIKE [14]

Answer:

your answer would be $66.78 !

Step-by-step explanation:

hope this helps you! :)

6 0

2 years ago

A raindrop falls at 200m per minute. how long will it take a raindrop to travel 6000m?

Kryger [21]

The first thing you should know is that by definition:
d = v * t
Where
d: distance
v: speed
t: time
We then have to clear the time:
t = (d) / (v)
Substituting the values:
t = (6000) / (200)
t = 30 minutes
Answer:
It will take a raindrop to travel 6000m about:
t = 30 minutes

5 0

3 years ago