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3 years ago

Please help with this!

Mathematics

1 answer:

shepuryov [24]3 years ago

7 0

9514 1404 393

Answer:

-11

Step-by-step explanation:

DeYanna's cards are ...

black: 2, 4, for a total value of 2+4 = 6

red: 7, 10, for a total value of -(7+10) = -17

Then the total value of DeYanna's cards is ...

6-17 = -11

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Find the volume of a cylinder below . The formula for the volume of a cylinder is . The radius of the circle is represented by r

lapo4ka [179]

Answer:

The volume of the cylinder V = 942 cm³

Step-by-step explanation:

Step(i):-

Given that the graph

The height of the cylinder (h) = 12cm

The diameter of the cylinder d = 10cm

The radius of the cylinder

d = 2r

r = $\frac{10}{2}$

r = 5 cm

Step(ii):-

The Volume of the cylinder

V = π r² h

V = π (5)²(12)

V = 300π cubic centimeter

V = 300 × 3.14

V = 942 cm³

Final answer:-

Volume of the cylinder V = 942 cm³

3 0

2 years ago

A person recently read that 84% of cat owners are women. How large a sample should the researcher take if she wishes to be 90% c

Lana71 [14]

Answer:

405

Step-by-step explanation:

To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.

$n=\frac{(z_{\frac{\alpha }{2} })^{2} *p*q }{E^2}$

The values that are given are p = 0.84 and E = 0.03.

You can solve for the critical value which is equal to the z-score of (1 - confidence level)/2. Use the calculator function of invNorm to find the z-score. The value will given with a negative sign, but you can ignore that.

(1 - 0.9) = 0.1/2 = 0.05

invNorm(0.05, 0, 1) = 1.645

You can also solve for q which is 1 - p. For this problem q = 1 - 0.84 = 0.16

Plug the values into the equation and solve for n.

$n =\frac{(1.645)^2*0.84*0.16}{(0.03)^2}\\n= 404.0997333$