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2 years ago

Help please & Thankyouu if you don’t mind would really appreciate it!

Mathematics

1 answer:

Snezhnost [94]2 years ago

7 0

Answer:

${ \tt{area = \frac{1}{2}h(a + b) }} \\ = \frac{8}{2} (10 + 15) \\ \\ { \tt{area = 100 \: {cm}^{2} }}$

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A true-false quiz with 10 questions was given to a statistics class. Following is the probability distribution for the score of

disa [49]

Answer:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

Step-by-step explanation:

For this case we assume the following probability distribution:

X 5 6 7 8 9 10

P(X) 0.05 0.15 0.33 0.28 0.12 0.07

First we need to find the expected value (first moment) and the second moment in order to find the variance and then the standard deviation.

In order to calculate the expected value we can use the following formula:

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

$E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48$

For this case this value means that the expected score is about 7.48

In order to find the standard deviation we need to find first the second moment, given by :

$E(X^2)=\sum_{i=1}^n X^2_i P(X_i)$

And using the formula we got:

$E(X^2)=(5^2 *0.05)+(6^2 *0.15)+(7^2 *0.33)+(8^2 *0.28)+ (9^2 *0.12 +(10^2 *0.07))=57.46$

Then we can find the variance with the following formula:

$Var(X)=E(X^2)-[E(X)]^2 =57.46-(7.48)^2 =1.5096$

And then the standard deviation would be given by:

$Sd(X)=\sqrt{Var(X)}=\sqrt{1.5096}=1.229$

5 0

3 years ago

Read 2 more answers

Which equation is a point slope form equation for line AB?

MAVERICK [17]

Answer:

the answer is c

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A frame is marked down by 22 percent from an original price of $14.50. What is the new price?

nydimaria [60]

Answer:

$11.31

Step-by-step explanation:

$14.50x .22= 3.19

$14.50- 3.19= 11.31

3 0

2 years ago

Read 2 more answers

Two cars which are 40 miles apart start moving simultaneously in the same direction with constant speeds. If the speed of the ca

IgorC [24]

Answer:

5mph

Step-by-step explanation:

Given that two cars are 40 miles apart at the beginning.

They started at the same time with speeds 48 mph and 56 mph respectively

Since both cars are travelling in the same direction,

Relative velocity = Speed of the behind car-Speed of the first car

=56-48 =8mph

To catch the I car, the second car has to travel a distance of 40 miles extra in the same time as the I car

i.e. speed to be made up by the second car = 40 miles

Relative velocity per hour = 8mph

Hence time taken to catch up = $\frac{40}{8} =5mph$

8 0

3 years ago

Braden about three adult tickets and one child ticket at the movie theater and paid $32. Karen bought seven adult tickets and tw

Rama09 [41]

The cost of one adult ticket is $8 and cost of one child ticket is $8.

Step-by-step explanation:

Let,

Cost of one adult ticket = x

Cost of one child ticket = y

According to given statement;

3x+y=32 Eqn 1

7x+2y=72 Eqn 2

Multiplying Eqn 1 by 2

$2(3x+y=32)\\6x+2y=64\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(7x+2y)-(6x+2y)=72-64\\7x+2y-6x-2y=8\\x=8$

Putting x=8 in Eqn 1

$3(8)+y=32\\24+y=32\\y=32-24\\y=8$

The cost of one adult ticket is $8 and cost of one child ticket is $8.

Keywords: linear equation, elimination method

Learn more about linear equations at:

#LearnwithBrainly

4 0

3 years ago