Help please, find the blanks

Mathematics

1 answer:

Sergio039 [100]2 years ago

8 0

Answer:

ob = 6 bc = 11

Step-by-step explanation:

all sides are equal in rhombus so bc = 11

diagonals bisect each other at right angle.

so ob= do = 6

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Sammy and 4 friends went out to lunch together. They all ordered the same thing for lunch. Sammy was the only one who ordered de

alexandr1967 [171]

Answer:

$4.75.

Step-by-step explanation:

The total cost without the dessert = 27.50 - 3.75

= $23.75

So the cost of each persond lunch = 23.75 / 5

= $4.75.

7 0

4 years ago

A square's side is 5.1 m. Find its area

natima [27]

5.1 times 4 sides equals the answer would be 20.4<span />

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3 years ago

A machine produces a part for the automotive industry. 4% of the parts produced were defective in the past, and we believe that

Mamont248 [21]

Answer:

$n=\frac{0.04(1-0.04)}{(\frac{0.03}{1.64})^2}=114.76$

And rounded up we have that n=115

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

Solution to the problem

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

The proportion of defectives is estimated as: $\hat p=0.04$ . And on this case we have that the margin of error is $ME =\pm 0.03$ and we are interested in order to find the value of n, if we solve n from equation (a) we got: