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3 years ago

Myra can fill 180 glasses with 12 container of ice tea. How many glasses can she fill with 30 container of tea?

Mathematics

1 answer:

slega [8]3 years ago

8 0

Answer:

2 containers

Step-by-step explanation:

There are many methods to solve this, but this is by far my favorite. Take them and turn it into a ratio. 180:12

Reduce it to be 30:x, when x is the unknown.

Figure out that 180/6 is the 30 we need. Then take 12/6 and get 2. So your new ratio is 30:2.

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Use the given data to find the 95% confidence interval estimate of the population mean μ. Assume that the population has a norma

loris [4]

Answer: For 95% Confidence Interval:

Upper Limit = 110.2

Lower Limit = 97.8

95% Confidence Interval = [97.8, 110.2]

Step-by-step explanation:

Given that,

Mean(M) = 104

Standard Deviation(SD) = 10

Sample Size(n) = 10

Formula for calculating 95% Confidence Interval are as follows:

Standard error(SE) = $\frac{SD}{\sqrt{n} }$

= $\frac{10}{\sqrt{10} }$

= 3.164

⇒ M ± $Z_{0.95}$ × SE

= 104 ± (1.96)(3.164)

= 104 ± 6.20

∴ Upper Limit = 104 + 6.20 = 110.2

Lower Limit = 104 - 6.20 = 97.8

So,

95% Confidence Interval = [97.8, 110.2]

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3 years ago

In the figure, the dashed line divides the arrow in half. What is the total area of the arrow? 60 square centimeters 68 square c

WARRIOR [948]

Answer:

80 square centimeters

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The total area of the arrow is equal to the area of a rectangle plus the area of a triangle

step 1

Find out the area of the rectangle

The area of rectangle is equal to

$A_1=LW$

we have

$L=17\ cm\\W=4\ cm$

substitute

$A_1=(17)(4)=68\ cm^2$

step 2

Find the area of triangle

The area of triangle is equal to

$A_2=\frac{1}{2}(b)(h)$

we have

$b=4+2+2=8\ cm\\W=20-17=3\ cm$

substitute

$A_2=\frac{1}{2}(8)(3)=12\ cm^2$

step 3

The area of the arrow is equal to

$A=A_1+A_2$

substitute the values

$A=68+12=80\ cm^2$

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