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3 years ago

What percent of 50 is 9?

1 answer:

8 0

9 is 18% of 50. So, 50 percent also written as 50% means 50 out of 100 parts. Since there are exactly two 50s in 100, fifty percent is the same number as one half. 50 percent=0.5 in but as a fraction, its 1/2.

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Create a residual plot for each model and select the true statement based on the residuals for each model. The residual plot for

Kisachek [45]

Im not entirely sure but, if you're on plato answer D is correct

model 1 has a random pattern and is fit for the data

8 0

3 years ago

Line DB bisects ∠ABC, m∠ABD = 4x, and m∠DBC = x + 36. Find m∠ABC. Choose True or False for each statement.

lapo4ka [179]

Since DB bisects ∠ABC and ∠ABC= ∠ABD + ∠DBC, then

∠ABD = ∠DBC, that is

4x = x + 36 ( subtract x from both sides )

3x = 36 ( divide both sides by 3 )

x = 12

∠ABD = 4x = 4× 12 = 48°

∠DBC= x + 36 = 12 + 36 = 48°

∠ABC = 48° + 48° = 96°

Thus statement A is FALSE

statement B is TRUE

statement C is TRUE

4 0

4 years ago

Find the area of the triangle with the given

LekaFEV [45]

Answer:

616.2442

area to the nearest whole number=616

Step-by-step explanation:

using formula 1/2absinx

where a =44,b=29 ,x=105

1/2x44x29xsin105

44x29=1276

1276÷2=638

638 x sin 105

the sin of 105 is 0.9659

if u are using a four figure table where u can't find 105 under sin of angle

u simply subtract 105 from 180=75

638 x 0.9659 =616.2442

approx.616

6 0

3 years ago

Point P is outside a circle with center O and is 10 cm from the center. The circle has a radius of 5 cm. Lines PA and PB are two

pishuonlain [190]

9514 1404 393

Answer:

∠PAO = 90°
∠APO = 30°
∠AOB = 120°
PB ≈ 8.7

Step-by-step explanation:

A tangent makes a right angle with the radius to the point of tangency. Hence ∠PAO is 90°. The ratio of the short side (OA) of the right triangle OAP to the hypotenuse (OP) is 5 : 10 = 1 : 2. These are the ratios found in a 30°-60°-90° triangle, so we know that ∠APO = 30°.

OP is a bisector of angle APB, so that angle is 60°. Angle AOB is the supplement to angle APB, so ∠AOB = 120°.

As we said above, triangle OAP is a 30°-60°-90° triangle, so its side lengths have the ratios 1 : √3 : 2. This means PA = PB = 5√3 ≈ 8.7.

3 0

3 years ago

As a company manager for claimstat corporation there is a 0.40 probability that you will be promoted this year. there is a 0.72

Charra [1.4K]

Suppose $P$ denotes the event of getting promoted and $R$ the event of getting a raise. Then

$\mathbb P(P\cup R)=\mathbb P(P)+\mathbb P(R)-\mathbb P(P\cap R)$
$\implies0.72=0.40+\mathbb P(R)-0.25$
$\implies\mathbb P(R)=0.57$

Now it sounds like you're asked to find $\mathbb P(R\mid P)$ , which the definition of conditional probability says is equivalent to

$\mathbb P(R\mid P)=\dfrac{\mathbb P(R\cap P)}{\mathbb P(P)}=\dfrac{0.25}{0.40}=0.625$

3 0

3 years ago