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3 years ago

What is the area of the polygon

Mathematics

2 answers:

Paul [167]3 years ago

8 0

Split this figure into 3 shapes: 2 triangles and 1 trapezoid

Area of top triangle = 1/2(7)(2) = 7 square units
Area of bottom triangle = 1/2(3)(7) = 10.5 square units
Area of trapezoid = 1/2(3 + 6)(4) = 18 square units

Area of the polygon = 7 + 10.5 + 18 = 35.5 square units

vlada-n [284]3 years ago

6 0

Look at the picture.
$A_I=\dfrac{7\cdot2}{2}=7\\\\A_{II}=\dfrac{4\cdot3}{2}=6\\\\A_{III}=\dfrac{7\cdot3}{2}=10.5\\\\A_{IV}=3\cdot4=12\\\\The\ area\ of\ the\ polygon\\\\A=A_I+A_{II}+A_{III}+A_{IV}\\\\A=7+6+10.5+12=35.5\ un^2$

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Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that th

lisov135 [29]

Answer:

$z=\frac{0.462 -0.35}{\sqrt{\frac{0.35(1-0.35)}{78}}}=2.074$

Now we can calculate the p value with this probability:

$p_v =P(z>2.074)=0.019$

If we use a significance level os 0.05 we see that the p value is lower than the significance level so then we can conclude that the true proportion of students with jobs is higher than 0.35 for this case. If we decrease the significance level to 1% the result changes otherwise not.

Step-by-step explanation:

Information given

n=78 represent the random sample taken

X=36 represent the students with jobs

$\hat p=\frac{36}{78}=0.462$ estimated proportion of students with jobs

$p_o=0.35$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the proportion of students with jobs is higher than 0.35, the system of hypothesis are:

Null hypothesis: $p \leq 0.35$

Alternative hypothesis: $p > 0.35$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info we got:

$z=\frac{0.462 -0.35}{\sqrt{\frac{0.35(1-0.35)}{78}}}=2.074$

Now we can calculate the p value with this probability:

$p_v =P(z>2.074)=0.019$

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4 years ago

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Amanda [17]

The probability of not spinning an even number should be two out of three or 2/3. because there is only 1 even number (2).

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3 years ago

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Shtirlitz [24]

The expected value of the discrete distribution is of 20.97, hence option C gives the correct answer.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

Hence, according to the table, the expected value is given by:

E(X) = 12 x 0.08 + 18 x 0.15 + 20 x 0.31 + 22 x 0.08 + 24 x 0.15 + 25 x 0.23 = 20.97.

More can be learned about the expected value of a discrete distribution at brainly.com/question/26660401

#SPJ1

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2 years ago

Pls help me i need to fill in the boxes that dont have anything in them but i aldo need to fill in the one that says "A="

yawa3891 [41]

Step-by-step explanation:

$\bf \red { Area: \; \boxed{ 24 } units^2}$

Formula of area of a parallelogram is :

Area of parallelogram = b × h

○ b denotes base

○ h denotes height

Here,

Base of the parallelogram is 6 units and height is 4 units.

→ Area of the parallelogram = 6 units × 4 units

→ Area of the parallelogram = 24 units²

$\therefore$ Area of the parallelogram is 24 units².

$\bf \purple { Perimeter: \; \boxed{ 22 } units}$

Perimeter of parallelogram = Sum of all sides

Since, opposite sides of a parallelogram are equal. So,

○ First side = 6 units

○ Second side = 5 units

○ Third side = 6 units

○ Fourth side = 5 units

→ Perimeter = ( 6 + 5 + 6 + 5 ) units

→ Perimeter = ( 12 + 10 ) units

→ Perimeter = 22 units

$\therefore$ Perimeter of the parallelogram is 22 units.

$\boxed{ \sf { AREA \; FORMULA }}$

$\boxed { \sf { A = Base \times Height }}$

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Damm [24]

Answer:

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Step-by-step explanation:

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4 years ago

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