Greg has a piece of string that is 3 1/3 yards long. If he cuts off 3/4 yard, how many yards of the string

Leda makes 73 oatmeal muffins for a bake sale. She accidentally drops five of them and throws them away. She puts as many of the

mamaluj [8]

Answer:

3 oatmeal muffins

Step-by-step explanation:

First, subtract the 5 muffins she dropped from the total:

73 - 5

= 68

Then, divide this by 13:

68/13

= 5.23

We need a whole number of muffins in each container, so round this down to 5.

This means that there can be 5 muffins in each of the 13 containers.

Find how many will be leftover:

5(13)

= 65

68 - 65

= 3

So, there will be 3 oatmeal muffins left

5 0

3 years ago

Evaluate the expression for a^2 + b ÷3 when a = 3 and b = 6

Flura [38]

Answer:

11

Step-by-step explanation:

3^2 + 6/3

9 + 2

11

8 0

3 years ago

Find the maximum value of the function for the polygonal convex set determined by the given system of inequalities.

V125BC [204]

Answer:

A. at (8,7) the maximum value is 98

Step-by-step explanation:

First draw the region, that is bounded by all

inequalities. This is the triangle with vertices

(6,1), (2,5) and (8,7).

Now you can see where the line f(x,y)=7x+6y

intersect this region. The maximum value will be

at endpoints of this region:

• at (6,1), f(6,1)=7-6+6-1=42+6=48;

·

at (2,5), f(2,5)=7·2+6.5=14+30=44;

• at (8,7), f(8,7)=7.8+6-7=56+42=98.

Thus, the maximum value of the function is 98 at

the point (8,7).

frika. Quality Assurance

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8 0

1 year ago

The quality control manager of a chemical company randomly sampled twenty 100-pound bags of fertilizer to estimate the variance

lisabon 2012 [21]

Answer:

The 95% confidence interval for the variance in the pounds of impurities would be $3.829 \leq \sigma^2 \leq 14.121$ .

Step-by-step explanation:

1) Data given and notation

$s^2 =6.62$ represent the sample variance

s=2.573 represent the sample standard deviation

$\bar x$ represent the sample mean

n=20 the sample size

Confidence=95% or 0.95

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

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

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

On this case the sample variance is given and for the sample deviation is just the square root of the sample variance.

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

$df=n-1=20-1=19$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical values.