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3 years ago

Draw a model, and write an equation to represent "4 times as many as 3 is 12." Explain your work.

1 answer:

3 0

The equation would be 3×4=12. For the model you can draw 3 groups of 4 and then the equal sign and then draw 12 of whatever object you decided to draw

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A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)

Maksim231197 [3]

Answer:

The 95% confidence interval is $0.0503 < p < 0.1297$

The sample proportion is $\r p = 0.09$

The critical value is $Z_{\frac{\alpha }{2} } = 1.96$

The standard error is $SE =0.020$

Step-by-step explanation:

From the question we are told that

The sample size is n = 200

The number of defective is k = 18

The null hypothesis is $H_o : p = 0.08$

The alternative hypothesis is $H_a : p > 0.08$

Generally the sample proportion is mathematically evaluated as

$\r p = \frac{18}{200}$

$\r p = 0.09$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the standard of error is mathematically represented as

$SE = \sqrt{\frac{\r p (1 - \r p)}{n} }$

substituting values

$SE = \sqrt{\frac{0.09 (1 - 0.09)}{200} }$

$SE =0.020$

The margin of error is

$E = Z_{\frac{ \alpha }{2} } * SE$

=> $E = 1.96 * 0.020$

=> $E = 0.0397$

The 95% confidence interval is mathematically represented as

$\r p - E < \mu < p < \r p + E$

=> $0.09 - 0.0397 < \mu < p < 0.09 + 0.0397$

=> $0.0503 < p < 0.1297$

7 0

3 years ago

I need help on that one plzzz help me this is due tommorw morning answer

vfiekz [6]

Answer:

A = 45

B = 90

C = 45

Step-by-step explanation:

Isosceles triangles have two side that are the same and two angles that are the same. Since one angle, B, is a right angle, 90°, that means the other 2 angles, A & C, added together equal 90°.

Divide 90 by 2 and you 45° for both A and C.

4 0

3 years ago

Read 2 more answers

A survey of the men in a certain town showed that 35% of the men have blond hair and 14% of them have blond hair and blue eyes.

natita [175]

If you are given he has blond hair, so the total probability will be 35%. And among them, he needs to have blue eyes, its probability is 14% among the 35%. So the final probability is 14%/35%=40%.

7 0

3 years ago

Triangle ABC is the pre-image and triangle DFE is the image.

anzhelika [568]

Answer:

Scale factor = ½

Step-by-step explanation:

The original image is the preimage = ∆ACB

The new image is the image = ∆DFE

The scale of factor of dilation = image/preimage = DF/AC

DF = 6 cm (given)

AC = 12 cm (given)

Plug in the values into the equation to find the scale factor of dilation:

Scale factor = 6/12

Scale factor = ½

6 0

3 years ago

What is the circumference of the circle?use 3.14 for pi

marshall27 [118]

Answer:

B) 40.192

Step-by-step explanation:

The equation is 2 x $\pi$ x r 2 x 3.14 x 6.4 . multiply them and you get 40.192

8 0

3 years ago