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3 years ago

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Mathematics

2 answers:

Readme [11.4K]3 years ago

7 0

Answer:

Step-by-step explanation:

The internal angle sum of a 4 sided polygon is 360 so set it equal to 360. 5x+110+110+70=360

5x+290=360

5x=70

x= 14

Gnesinka [82]3 years ago

5 0

Answer:

Step-by-step explanation:

<h2><em><u>Plz thank me and mark me as a brainlists</u></em></h2>

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1. The table shows the probabilities of a response chocolate or vanilla when asking a child or adult. Use the formula for condit

Stels [109]

$\begin{matrix}&\text{chocolate}&\text{vanilla}&\text{total}\\\text{children}&0.14&0.26&0.40\\\text{adults}&0.21&0.39&0.60\\\text{total}&0.35&0.65&1.00\end{matrix}$

a. "Chocolate" and "Adults" (whatever those mean) will be independent as long as

$P(\text{chocolate}\cap\text{adults})=P(\text{chocolate})\cdot P(\text{adults})$

"Chocolate" has the marginal distribution given by the second column, with a total probability of $P(\text{chocolate})=0.35$ . Similarly, "Adults" has the marginal distribution described by the third row, so that $P(\text{adults})=0.60$ . Then

$P(\text{chocolate})\cdot P(\text{adults})=0.35\cdot0.60=0.21$

Meanwhile, the joint probability of "Chocolate" and "Adults" is given by the cell in the corresponding row/column, with $P(\text{chocolate}\cap\text{adults})=0.21$ .

The probabilities match, so these events are indeed independent.

Parts (b) and (c) are checked similarly.

b. Yes;

$P(\text{children})\cdot P(\text{chocolate})=0.40\cdot0.35=0.14$
$P(\text{children}\cap\text{chocolate})=0.14$

c. Yes;

$P(\text{vanilla})\cdot P(\text{children})=0.65\cdot0.40=0.26$
$P(\text{vanilla}\cap\text{children})=0.26$

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3 years ago

Jack buys a bag of 5 apples, each

makkiz [27]

Answer:

4 1/2

Step-by-step explanation:

5 apples - 1/2 apple =

4 1/2 apple

9/2

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3 years ago

If P (x,y) is the point on the unit circle defined by real number 0, then csc0=_.

dezoksy [38]

Answer:

cscθ = $\frac{1}{y}$

Step-by-step explanation:

cscθ = $\frac{Hypotenuse}{opposite}$

For a unit circle, radius = 1

hence, hypotenuse = 1

opposite = y

cscθ = $\frac{1}{y}$

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3 years ago

What type of jobs offer commissions?

Vedmedyk [2.9K]

Answer:

Sales Engineers. ...

Wholesale and Manufacturing Sales Representatives. ...

Securities, Commodities, and Financial Services Sales Agents. ...

Advertising Sales Agent. ...

Insurance Sales Agent. ...

Real Estate Brokers and Sales Agents. ...

Travel Agents.

Step-by-step explanation:

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3 years ago

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A Ferris wheel car moves from point C to point D on the circle shown below:

Alborosie

Answer:

5.89 feet.

Step-by-step explanation:

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3 years ago