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3 years ago

8

Kathy buys p pounds of grapes for $2.19 per pound and one pound of kiwi for $3.09 per pound. what does the expression 2.19p − 3.

09 represent?

1 answer:

True [87]3 years ago

7 0

-.9 would be your answer <span />

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Suppose n(U) = 150, n(A) = 35, and n(B) = 89.<br> (a) If n(A U B) = 90, find n(A n B).

avanturin [10]

Answer:

34

first of all use formula:

n(AUB)=n(A)+n(B)-n(AnB)

4 0

3 years ago

The diagram shows a right-angled triangle.

Alexus [3.1K]

Step-by-step explanation:

there is no diagram so I'm just going to guess this however

sin x = 6/9

sin x = 2/3

sin x = 0.67

x = sin inverse of 0.67

x = 42.1

8 0

2 years ago

Because of staffing decisions, managers of the Gibson-Marion Hotel are interested in the variability in the number of rooms occu

olchik [2.2K]

Answer:

a) $s^2 =30^2 =900$

b) $\frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}$

$567.28 \leq \sigma^2 \leq 1690.224$

c) $23.818 \leq \sigma \leq 41.112$

Step-by-step explanation:

Assuming the following question: Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in the variability in the number of rooms occupied per day during a particular season of the year. A sample of 20 days of operation shows a sample mean of 290 rooms occupied per day and a sample standard deviation of 30 rooms

Part a

For this case the best point of estimate for the population variance would be:

$s^2 =30^2 =900$

Part b

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

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

The degrees of freedom are given by:

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

Since the Confidence is 0.90 or 90%, the significance $\alpha=0.1$ and $\alpha/2 =0.05$ , the critical values for this case are:

$\chi^2_{\alpha/2}=30.144$

$\chi^2_{1- \alpha/2}=10.117$

And replacing into the formula for the interval we got:

$\frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}$

$567.28 \leq \sigma^2 \leq 1690.224$

Part c

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

$23.818 \leq \sigma \leq 41.112$

5 0

3 years ago

Simplify.<br><br> 5 • 2 • (–4) + 6 ÷ 2

Natasha2012 [34]

Answer:

- 37

Step-by-step explanation:

5 • 2 • ( - 4 ) + 6 ÷ 2

= 5 • 2 • ( - 4 ) + [ 6 ÷ 2 ]

= 10 • ( - 4 ) + 3

= - 40 + 3

= - 37

4 0

2 years ago

What value of X makes the equation true?<br><br> 12x-15=16-3x

gogolik [260]

X= 2 1/15 or 31/15.

4 0

3 years ago