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3 years ago

12

Becky put some stamps into our stamp collection book she put 14 stamps on each page and she completely filled 16 pages how many

stamps did she put in the book

1 answer:

joja [24]3 years ago

6 0

Answer:

Becky put 224 stamps on the stamp collection book

Step-by-step explanation:

We know that Becky put 14 stamps on each page and she did it on 16 pages.

To find out how many stamps were in the entire stamp collection book, we have to multiply the number of stamps on each page by the number of pages

14 * 16 = 224

Becky put 224 stamps on the stamp collection book

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Office occupancy in a city is an indication of the economic health of the region in which it is located. A random sample of offi

Pani-rosa [81]

Answer:

$(0.13-0.1) - 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=-0.0664$

$(0.13-0.1) + 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=0.124$

We are confident at 99% that the difference between the two proportions is between $-0.0664 \leq p_1 -p_2 \leq 0.124$ . And since the confidence interval cotains the value 0 we don't have enough evidence to conclude that we have significant differences between the to proportions in these two cities

Step-by-step explanation:

$p_1$ represent the real population proportion for 1

$\hat p_1 =\frac{22}{165}=0.13$ represent the estimated proportion for 1

$n_1=165$ is the sample size required for 1

$p_2$ represent the real population proportion for 2

$\hat p_2 =\frac{14}{140}=0.10$ represent the estimated proportion for 2

$n_2=140$ is the sample size required for 2

$z$ represent the critical value for the margin of error

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_1 -\hat p_2) \pm z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}$

For the 99% confidence interval the significance is $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , and the critical value using the normal standard distribution.

$z_{\alpha/2}=2.58$

Replacing we got:

$(0.13-0.1) - 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=-0.0664$

$(0.13-0.1) + 2.58 \sqrt{\frac{0.13(1-0.13)}{165} +\frac{0.10(1-0.10)}{140}}=0.124$

We are confident at 99% that the difference between the two proportions is between $-0.0664 \leq p_1 -p_2 \leq 0.124$ . And since the confidence interval cotains the value 0 we don't have enough evidence to conclude that we have significant differences between the to proportions in these two cities

8 0

3 years ago

Based on the information on the diagram, what is the measure of angle ADC?

Serga [27]

Answer:

73°

Step-by-step explanation:

Given: BD=BE

∠DBE= 50°

∠EAC= 42°

DE//AC and AE=CD

Attach is the new drawn diagram with M point.

∵ we know BD=BE, ∴ ∠BDE=∠BED= x ( taking x as unknown angle)

Remember, sum of triangle= 180°

Now, ∠BDE+∠BDE+∠DBE= 180°

⇒ $x+x+50= 180$

⇒ $2x+50= 180$

Subtracting both side by 50, then dividing both side by 2

∴ $x= \frac{130}{2}= 65$ °

We know, ∠MAC= ∠MCA= 42° (∵AM=MC)

Next, ∠EDC=DCA= 42° ( ∵ Alternate interior angle as we know DE//AC )

Now, we have ∠EDC= 42°, ∠BDE= 65°

∴ $BDE+EDC+ADC= 180$ ° (∵sum of straight line= 180°)

⇒ $65+42+ADC= 180$ °

⇒ $107+ADC= 180$ °

Subtracting both side by 107

∴∠ADC= $180-107= 73$ °

∴∠ADC= 73°

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3 years ago

A car on a racetrack drove 98 miles in 60 minutes. How far did it drive in 12 minutes? Round the the nearest tenth when necessar

Alborosie

Answer:

19.6 miles in 12 minutes.

Step-by-step explanation:

first take 60, then divide it by 12.

60÷12=5

then take 98 and divide that by 5

98÷5=19.6

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How do i learn fractions right away

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Think about two numbers stacked on each other vertically and then a line in between

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What is the slope and the y-intercept of the graph of y = 8/9x - 8

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Slope: 8/9
y-intercept: (0,-8)

If needed hope this answers your question!!

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