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1 year ago

8 sandwiches cost £18.40 Find the cost of 5 sandwiches.

Mathematics

2 answers:

Eduardwww [97]1 year ago

7 0

Answer:

11.5

because

8 18.40

5 ?

5×18.40=92

92÷8=11.5

earnstyle [38]1 year ago

7 0

Answer:

£11.50

Step-by-step explanation:

Well to solve this equation you must divide the total cost of the 8 sandwhiches by 18.40

18.40 divided by 8 is 2.30

So that means the cost per sandwhich is £2.30

Then all you have to do is multiply 2.30 by 5

2.30 divided by 5 is 11.50

So the cost of 5 sandwiches would be £11.50

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In a simple random sample of 300 boards from this shipment, 12 fall outside these specifications. Calculate the lower confidence

Lyrx [107]

Answer:

The 95% confidence interval for the percentage of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

Step-by-step explanation:

In a random sample of 300 boards the number of boards that fall outside the specification is 12.

Compute the sample proportion of boards that fall outside the specification in this sample as follows:

$\hat p =\frac{12}{300}=0.04$

The (1 - α)% confidence interval for population proportion p is:

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

The critical value of z for 95% confidence level is,

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.04\pm1.96\sqrt{\frac{0.04(1-0.04)}{300}}\\=0.04\pm0.022\\=(0.018, 0.062)\\\approx(1.8\%, 6.2\%)$

Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

6 0

3 years ago

Draw and label a tape diagram to subtract 10, 20, 30

Svet_ta [14]

This isnt something I can do... But draw and label a tape diagram that goes from 0 to 30.

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3 years ago

How many solutions does this linear system of equations have?

Irina18 [472]

It has infinite solutions

4 0

3 years ago

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dmitriy555 [2]

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3 years ago

Identify all solutions for a triangle with A = 38 degrees b = 10, and a= 8. Round to the nearest tenth.

rjkz [21]

Answer:

A = 38°

B = 50.32°

C = 91.68°

a = 8

b = 10

c = 12.77

Step-by-step explanation:

The first thing is to find the angle B, like this:

sin B = b * sin A / a = 10 * sin (38 °) / 8

sin B = 0.77

B = arc sin (0.77)

B = 50.32 °

For angle C, it would be:

C = 180 - 38 - 50.32

C = 91.68 °

Side c, we calculate it like this:

c = a * sin C / sin A = 8 * sin (91.68 °) / sin (38 °)

c = 12.77

5 0

3 years ago