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In △ABD, altitude AC¯¯¯¯¯ intersects the right angle of triangle ABD at vertex A. BC=3.1 in. and CD=7.2 in..

vodomira [7]

Answer:

4.72 in.

Step-by-step explanation:

BC = 3.1 in.

CD = 7.2 in.

Altitude of right triangle altitude is given as $h = \sqrt{xy}$ , where:

h = altitude

x = 3.1 in.

y = 7.2 in.

Plug in the values into the formula

$h = \sqrt{3.1*7.2}$

$h = \sqrt{22.32}$

$h = 4.72 in.$ (nearest hundred)

5 0

3 years ago

Read 2 more answers

A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is appro

Pavel [41]

Answer:

The answers to the questions are

(a) P = 0.0176

(b) P = 0.5

(c) P = 0.0571

Step-by-step explanation:

The P value is the calculated probability of obtaining extreme reults which are as extreme as observed res ult when the study null hypothesis H₀ is true

The p value is given by

P ( $\overline{\rm x}$ = 185 when μ = 175)

z = $\frac{ \overline { \rm x} -\mu}{\sigma /\sqrt{n} }$

z( $\overline { \rm x}$ = 185) = $\frac{ 185 -175}{20/\sqrt{10} }$ = 1.5811

Therefore the P ( $\overline{\rm x}$ = 185 when μ = 175) = P(z = 1.5811)

0.94295

The probability density function is

$f(x) = \frac{1}{\sigma\sqrt{2\pi } } e^{-\frac{1}{2}(\frac{x-\mu}{\sigma} )^2 }$ Therefore the probability is

$f(x) = \frac{1}{20\sqrt{2\pi } } e^{-\frac{1}{2}(\frac{185-175}{20} )^2 }$ = 0.0176

b) The type II error is given by

β = P(type II error) = P(Fail to reject the null hypothesis when it is false)

Therefore

β = P ( $\overline { \rm x}$ < 185 when μ = 185)

P $(\frac{ \overline { \rm x} -\mu}{\sigma /\sqrt{n} }$ , which gives

P(z<0) and β = 0.5

(c) For true mean foam height of 195 mm we have

β = P ( $\overline { \rm x}$ < 185 when μ = 195)

and P $(\frac{ \overline { \rm x} -\mu}{\sigma /\sqrt{n} }$

Which gives P(z < -1.58)

From z table the probability is β = 0.0571

3 0

3 years ago

Which expression would represent the cost of one CD, If the total cost for three of them is $36? O 3(36) 36 - 3 36 3 3+ 36

Sveta_85 [38]

Answer:

How could you represent the total amount of money spent on bread? ... When someone is having trouble with algebra, they may say, “I don't speak math! ... and we want to be able to translate these phrases into algebraic expressions. Consider ... 36. 3. Write a function rule for the table. hours. 0. 1. 2. 3 cost. 15. 20. 25. 30. 4.

Step-by-step explanation:

How could you represent the total amount of money spent on bread? ... When someone is having trouble with algebra, they may say, “I don't speak math! ... and we want to be able to translate these phrases into algebraic expressions. Consider ... 36. 3. Write a function rule for the table. hours. 0. 1. 2. 3 cost. 15. 20. 25. 30. 4.

4 0

4 years ago

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Which ordered pairs in the form (x, y) are solutions to the equation 7x−5y=28?

belka [17]

Answer:7x + -5y = -28

(-4, _)

(1, _)

(_, 14)

Step-by-step explanation:

6 0

3 years ago