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FinnZ [79.3K]
2 years ago
9

Which of the following is a defined term? Plane Point Line Angle

Mathematics
1 answer:
mr_godi [17]2 years ago
5 0
A line is a defined term
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Ciara, an ornithologist, has 444 bird feeders at separate locations. She wonders if birds are equally likely to visit each of th
dybincka [34]

The expected count of visits is the mean or average visits to each feeder

The expected count of visits to the third feeder is 87.5

<h3>How to determine the expected count of visit?</h3>

The table of values is given as:

Feeder                 1   2    3   4

Observed visits 80 90 92 88

In this case, the null hypothesis implies that the visits to each feeder are uniformly distributed

So, the expected count is calculated using:

Expected count =Visits/Feeders

This gives

Expected count = 350/4

Evaluate the quotient

Expected count = 87.50

Hence, the expected count of visits to the third feeder is 87.5

Read more about chi square goodness of fit test at:

brainly.com/question/4543358

7 0
2 years ago
Evaluate the expression you got in part f for d = 5.
Triss [41]

Answer:

Before you get started, take this readiness quiz.

Is n÷5 an expression or an equation? If you missed this problem, review Example 2.1.4.

Simplify 45. If you missed this problem, review Example 2.1.6.

Simplify 1+8•9. If you missed this problem, review Example 2.1.8.

Evaluate Algebraic Expressions

In the last section, we simplified expressions using the order of operations. In this section, we’ll evaluate expressions—again following the order of operations.

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

Example 2.3.1: evaluate

Evaluate x+7 when

x=3

x=12

Solution

To evaluate, substitute 3 for x in the expression, and then simplify.

x+7

Substitute.

3+7

Add.

10

When x=3, the expression x+7 has a value of 10.

To evaluate, substitute 12 for x in the expression, and then simplify.

x+7

Substitute.

12+7

Add.

19

When x=12, the expression x+7 has a value of 19. Notice that we got different results for parts (a) and (b) even though we started with the same expression. This is because the values used for x were different. When we evaluate an expression, the value varies depending on the value used for the variable.

exercise 2.3.1

Evaluate: y+4 when

y=6

y=15

Answer a

Answer b

exercise 2.3.2

Evaluate: a−5 when

a=9

a=17

Answer a

Answer b

Example 2.3.2

Evaluate 9x−2, when

x=5

x=1

Solution

Remember ab means a times b, so 9x means 9 times x.

To evaluate the expression when x=5, we substitute 5 for x, and then simplify.

9x−2

Substitute 5 for x.

9⋅5−2

Multiply.

45−2

Subtract.

43

To evaluate the expression when x=1, we substitute 1 for x, and then simplify.

9x−2

Substitute 1 for x.

9⋅1−2

Multiply.

9−2

Subtract.

7

Notice that in part (a) that we wrote 9•5 and in part (b) we wrote 9(1). Both the dot and the parentheses tell us to multiply.

exercise 2.3.3

Evaluate: 8x−3, when

x=2

x=1

Answer a

Answer b

exercise 2.3.4

Evaluate: 4y−4, when

y=3

y=5

Answer a

Answer b

Example 2.3.3: evaluate

Evaluate x2 when x=10.

Solution

We substitute 10 for x, and then simplify the expression.

x2

Substitute 10 for x.

102

Use the definition of exponent.

Evaluate: 2x when x=6.

Answer

exercise 2.3.8

Evaluate: 3x when x=4.

Answer

Example 2.3.5: evaluate

Evaluate 3x+4y−6 when x=10 and y=2.

Solution

This expression contains two variables, so we must make two substitutions.

3x+4y−6

Substitute 10 for x and 2 for y.

3(10)+4(2)−6

Multiply.

30+8−6

Add and subtract left to right.

32

When x=10 and y=2, the expression 3x+4y−6 has a value of 32.

exercise 2.3.9

Evaluate: 2x+5y−4 when x=11 and y=3

Answer

exercise 2.3.10

Evaluate: 5x−2y−9 when x=7 and y=8

Answer

Example 2.3.6: evaluate

Evaluate 2x2+3x+8 when x=4.

Solution

We need to be careful when an expression has a variable with an exponent. In this expression, 2x2 means 2•x•x and is different from the expression (2x)2, which means 2x•2x.

2x2+3x+8

Substitute 4 for each x.

2(4)2+3(4)+8

Simplify 42.

2(16)+3(4)+8

Multiply.

32+12+8

Add.

52

exercise 2.3.11

Evaluate: 3x2+4x+1 when x=3.

Answer

exercise 2.3.12

Evaluate: 6x2−4x−7 when x=2.

Answer

Identify Terms, Coefficients, and Like Terms

Algebraic expressions are made up of terms. A term is a constant or the product of a constant and one or more variables. Some examples of terms are 7, y, 5x2, 9a, and 13xy.

8 0
3 years ago
Can someone please help I don’t get this
VikaD [51]

Answer:

mABC = 110

Step-by-step explanation:

4 0
3 years ago
Ruby signed up for a frequent-filer program. She receives 3400frequent-flier miles for the first round trip and 1200 miles for a
vovangra [49]

Answer: 8200 miles

Step-by-step explanation:

Based on the question, since she wants to go for five round trips, her first round trip is fixed at 3400 and she will have 4 more additional trips. This can them be calculated as:

= 3400 + 1200x

x = additional trips = 4

We then put the value of x into the equation

= 3400 + 1200x

= 3400 + 1200(4)

= 3400 + 4800

= 8200

She'll have 8200 mile after 5 round trips

3 0
2 years ago
What area is this composite figure??
klemol [59]

This composite figure consists of a right triangle and semicircle

The area of a triangle is: 1/2(bh)

The area of a semicircle is 1/2(pi)(r²)

Plug in the values:


1/2( 12)(8)

=48


1/2(3.14)(4²)

=25.12


25.12+48=73.12


Hope this helped :)


3 0
3 years ago
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