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Westkost [7]
3 years ago
13

Andy and Christopher are measuring a liquid solution using graduated cylinders, Andy uses 3.5 liters of the liquid solution, and

Christopher uses 2,580 milliliters of the liquid solution. What is the ratio of Christopher's measurements to Andy's measurements in milliliters? One liter equals 1,000 millilters. Simplify your answer.
Mathematics
1 answer:
Gre4nikov [31]3 years ago
6 0

Answer:

Ratio = 0.74

Step-by-step explanation:

Represent

- Andy with A

- Christopher with C

A = 3.5L

C = 2580mL

Required

Determine the ratio of C to A

Ratio is represented as thus:

Ratio = C:A

Rewrite as fraction

Ratio = \frac{C}{A}

This gives

Ratio = \frac{2580mL}{3.5L}

Convert L to mL

Ratio = \frac{2580mL}{3.5*1000mL}

Ratio = \frac{2580mL}{3500mL}

Ratio = \frac{2580}{3500}

Ratio = 0.73714285714

Ratio = 0.74 --- Approximated

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Answer:

D 60

Step-by-step explanation:

f(5)=35

f(6)=40

f(7)=45

f(8)=50

f(9)=55

f(10)=60

3 0
3 years ago
Marta is making two different charms for necklace one charm has a 1 cm diameter and a 3.14 cm circumference of a similar charm h
EastWind [94]
From what I can pick up from your problem statement, you want to know "<span>a similar charm has a diameter of 4 cm what is the circumference."  Please, would you use proper punctuation in your writing, for greater clarity:

"A</span><span> similar charm has a diameter of 4 cm.  What is the circumference?"

The formula for the circumference of a circle, when the diameter is known, is 

C=</span>\pid               or  C=pi*d

In this case, with diamter 4 cm, the circumference, C, is 4pi cm.
3 0
4 years ago
If a hurricane was headed your way, would you evacuate? The headline of a press release issued January 21, 2009 by the survey re
Nikolay [14]

Answer:

The 98% confidence interval for population proportion of people who refuse evacuation is {0.30, 0.33].

Step-by-step explanation:

The sample drawn is of size, <em>n</em> = 5046.

As the sample size is large, i.e. <em>n</em> > 30, according to the Central limit theorem the sampling distribution of sample proportion will be normally distributed with mean \hat p and standard deviation \sqrt{\frac{\hat p (1-\hat p)}{n} }.

The mean is: \hat p=0.31

The confidence level (CL) = 98%

The confidence interval for single proportion is:

CI_{p}=[\hat p-z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} },\ \hat p+z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} }]

Here z_{(\alpha /2)} = critical value and <em>α </em>= significance level.

Compute the value of <em>α</em> as follows:

\alpha =1-CL\\=1-0.98\\=0.02

For <em>α</em> = 0.02 the critical value can be computed from the <em>z</em> table.

Then the value of z_{(\alpha /2)} is ± 2.33.

The 98% confidence interval for population proportion is:

CI_{p}=[\hat p-z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} },\ \hat p+z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} }]\\=[0.31-2.33\times \sqrt{\frac{0.31\times(1-0.33)}{5046} },\ 0.31+2.33\times \sqrt{\frac{0.31\times(1-0.33)}{5046} } ]\\=[0.31-0.0152,\ 0.31+0.0152]\\=[0.2948,0.3252]\\\approx[0.30,\ 0.33]

Thus, the 98% confidence interval [0.30, 0.33] implies that there is a 0.98 probability that the population proportion of people who refuse evacuation is between 0.30 and 0.33.  

7 0
3 years ago
2) Avery pays $125 every 5 weeks for basketball training. What is the price per
Nataly [62]

Answer:

$1300

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52/5 = 10.4

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or another way

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4 0
3 years ago
The function graphed above is:
dem82 [27]

Step-by-step explanation:

When the slope of the function is positive, it is increasing

when the slope of the function is negative, it is decreasing

just like with the line function  y = mx + b

so if you put a line tangent to the function at every point the slope of the line will indicate a increasing or decreasing point of the function

also beware where the slope is zero  it is not increasing or decreasing

there are two intervals of increasing, one interval of decreasing and two point of zero slope or neither increasing or decreasing

increasing interval  1)  x < -2     2) x > 1.5

decreasing interval   1)     -2 <  x < 1.5

at -2 and 1.5 the slope is zero

5 0
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