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nikdorinn [45]
2 years ago
13

 Write an expression for the area of the triangle.( The area of a triangle is 1/2 •base • height.)

Mathematics
1 answer:
Law Incorporation [45]2 years ago
6 0
Base = 8 + 2x
Height = 14 - x

Expression for area of the triangle:
1/2(8 + 2x)(14 - x)

Hope this helps!
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Which equation should be used to calculate the 43rd partial sum for the arithmetic sequence.
MariettaO [177]

Answer: First Option : Sₙ= n/2(a₁ + aₙ)

Step-by-step explanation:

The nth partial sum of an arithmetic sequence or the sum of the first n terms of the arithmetic series can be defined as the sum of a finite number of term in an arithmetic sequence.

It is calculated using the formula:

Sₙ= n/2(a₁ + aₙ)

Where :

a₁ = First term

aₙ = last term

n = number of terms

6 0
2 years ago
Pls help me I will make you as brain plsss
juin [17]

Answer: y=-2

Step-by-step explanation: y=-2 is a horizontal line containing the points (2,-2) and (0,-2).

8 0
2 years ago
For what value of y must QRST be a parallelogram?<br> A: 1<br> B: 2<br> C: 3<br> D: 0.5
Reika [66]

Answer:

A

Step-by-step explanation:

Diagonals of a parallelogram bisect each other.

3x = 3

x = 1

y = x

y = 1

8 0
3 years ago
Read 2 more answers
The following data on average daily hotel room rate and amount spent on entertainment (The Wall Street Journal, August 18, 2011)
Zielflug [23.3K]

Answer:

a. Predicted Amount = $109.46

b. Confidence Interval = (94.84,124.08)

c. Interval = (110.6883,188.8517)

Step-by-step explanation:

Given

ŷ = 17.49 + 1.0334x.

SSE = 1541.4

a.

ŷ = 17.49 + 1.0334(89)

ŷ = 109.4626

ŷ = 109.46 --- Approximated

Predicted Amount = $109.46

b.

ŷ = 17.49 + 1.0334(89)

ŷ = 109.4626

ŷ = 109.46

First we calculate the standard deviation

variance = SSE/(n-2)

v = 1541.4/(9-2)

v = 1541.4/7

v = 220.2

s = √v

s = √220.2

s = 14.839

Then we calculate mean(x) and ∑(x - (mean(x))²

X --- Y -- Mean(x) --- ∑(x - (mean(x))²

148 -- 161 -- 43-- 1849

96 || 105|| -9 || 81

91 ||101 || -14 || 196

110 || 142 || 5 || 25

90 || 100 || -15 || 225

102 || ||120 ||-3|| 9

136 || 167 ||31 ||961

90 || 140 ||-15 ||225

82 || 98 ||-23 || 529

Sum 945 || 1134|| 0 ||4100

Mean (x) = 945/9 = 105

∑(x - (mean(x))² = 4100

α = 1 - 95% = 5%

α/2 = 2.5% = 0.025

tα,df = n − 2 = t0.025,7 =2.365

Confidence interval = 109.46 ± 2.365 * 14.839 √((1/9)+ (89-105)²/4100

Confidence Interval = (109.46 ± 14.62)

Confidence Interval = (94.84,124.08)

c.

ŷ = 17.49 + 1.0334(128)

ŷ = 149.7652

ŷ = 149.77

Interval = 149.77 ± 2.365 * 14.839 √((1/9)+ (128-105)²/4100

Interval = 149.77 ± 39.0817

Interval = (110.6883,188.8517)

3 0
3 years ago
If 4 books equals to 5 months how many books equals 15 months
Murrr4er [49]

Answer:

12 months

Step-by-step explanation:

Based on the question

4 books equals to 5 months

x books equals to 15months

To determine the value of X we will have to cross multiply,it means

5x=15×4

5x=60

Divide both sides by 5

x=12

Therefore,x=12

Which means 12 books equals to 12 months

8 0
2 years ago
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