Hello there! how to find the probability? see picture! you and show your work!

  0.8914

Step-by-step explanation:

You want to find the z-values associated with the x-values:

 z = (x -μ)/σ

 z1 = (57 -90)/12 = -2.75

 z2 = (105 -90)/12 = 1.25

Look up these values in a probability table and find the difference of the table values.

 p(z < z1) ≈ 0.00298 . . . . from a table or calculator

 p(z < z2) ≈ 0.89435 . . . . from a table or calculator

p(57 < x < 105) ≈ 0.89435 -0.00298 = 0.89137 ≈ 0.8914

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

the homeowners insurance cost for a 115,000 wood frame house is 80,500.

step-by-step explanation:

it is given that the coverage rate for wood frame house is 0.7.

the value of wood frame house is 115,000.

.

homeowners insurance cost for a 115,000 wood frame house is

therefore the homeowners insurance cost for a 115,000 wood frame house is 80,500.