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2 years ago

Consider the diagram below.

Mathematics

2 answers:

Elza [17]2 years ago

6 0

Answer: 110

Step-by-step explanation:

tester [92]2 years ago

6 0

Answer:

Step-by-step explanation:

Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle, therefore

${\angle}FED=90^{\circ}$ .

Now, it is given from the figure that ${\angle}FEP=35^{\circ}$ , therefore

${\angle}FED={\angle}FEP+{\angle}DEP$

$90^{\circ}=35^{\circ}+{\angle}DEP$

${\angle}DEP=55^{\circ}$

Now, we know that The angle subtended at the center of a circle is double the size of the angle subtended at the edge from the same two points, therefore

${\angle}PCD=2{\angle}PED$

${\angle}PCD=2(55^{\circ})$

${\angle}PCD=110^{\circ}$

Thus, the measure of arc PD is $110^{\circ}$ .

Hence, option (C) is correct.

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Jeff decided to paint some of the rooms in his hotel he found out that one room required to five cans of paint if Jeff by 14 can

Vladimir79 [104]

Answer:

i think the answer is 2 rooms because if 5 only goes in 14 two times then that would be your answer

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2 years ago

Find the exact value of the indicated trigonometric function of θ.

Mariana [72]

Answer:

cosθ = -√(35/36)

tanθ = -1/√35

Step-by-step explanation:

We know that

sin²θ + cos²θ = 1

(1/6)² + cos²θ = 1

1 - (1/6)² = cos²θ

35/36 = cos²θ

sec θ = 1/ cosθ

1/ secθ = cos θ

Because secθ < 0, 1/ secθ would also be < 0, so cos θ < 0

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= (1/6) / -(√35/6)

= -1/√35

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2 years ago

Steven lives 1500 yards from the corner store, and 2700 yards from the park. the park, the store, and steves house are all colli

Alexandra [31]

Answer:

4200

Step-by-step explanation:

Just add both distances together since we know his house is in between both the shop and the park.

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6 months ago

HELP!!!!!!!!!!!

liraira [26]

A.The distributions are somewhat similar.

B.The means-to-MAD ratio is 4.

C.The distributions are different.

D.The means-to-MAD ratio is 3.

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2 years ago

Suppose that the distribution of typing speed in words per minute (wpm) for experienced typists using a new type of split keyboa

KengaRu [80]

Answer:

a. 0.5 or 50%

b. 0.496 or 49.6%

c. 0.8185 or 81.85%

d. Yes, it would be just 0.0013 or 0.13% of probability to find a typist whose speed exceeds 105 wpm

e. 0.0252 or 2.52%

f. The qualifying speed would be 47.4 wpm.

Step-by-step explanation:

a. Let's find the z-score this way:

μ = 60 σ= 15

z-score = (x - μ)/σ

z-score = (60 - 60)/15

z-score = 0

Now, let's calculate the p value for z-score = 0, using the z-table:

p (z=0) = 0.5 or 50%

b. z-score = (x - μ)/σ

z-score = (59.9 - 60)/15

z-score = -0.01

Now, let's calculate the p value for z-score = -.0.01, using the z-table:

p (z = -0.01) = 0.496 or 49.6%

If the question were less or equal than 60, a and b would have the same answer. But in this case, the question is "less than 60 wpm".

z-score = (x - μ)/σ

z-score = (45 - 60)/15

z-score = - 1

Now, let's calculate the p value for z-score = -1, using the z-table:

p (z = -1) = 0.1587

z-score = (x - μ)/σ

z-score = (90 - 60)/15

z-score = 2

Now, let's calculate the p value for z-score = 2, using the z-table:

p (z = 2) = 0.9772

In consequence,

p (-1 ≤ z ≤ 2) = 0.9772 - 0.1587 = 0.8185 or 81.85%

d. z-score = (x - μ)/σ

z-score = (105 - 60)/15

z-score = 3

Now, let's calculate the p value for z-score = 3, using the z-table:

p (z = 3) = 0.9987

In consequence,

p (z > 3) = 1 - 0.9987 = 0.0013

Yes, it would be just a 0.13% of probability to find a typist whose speed exceeds 105 wpm.

e. z-score = (x - μ)/σ

z-score = (75 - 60)/15

z-score = 1

Now, let's calculate the p value for z-score = 1, using the z-table:

p (z = 1) = 0.8413

In consequence,

p (z > 1) = 1 - 0.8413 = 0.1587

and if the two typists are independently selected, then

p = 0.1587 * 0.1587

p = 0.0252 or 2.52%

f. p = 0.2, using the z-table, the z-score is -0.84, then:

z-score = (x - μ)/σ

-0.84 = (x - 60)/15

-12.6 = x - 60

-x = -60 + 12.6

-x = - 47.4

x = 47.4

The qualifying speed would be 47.4 wpm.

8 0

2 years ago