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kvasek [131]
2 years ago
15

Which statement is true

Mathematics
1 answer:
Jet001 [13]2 years ago
4 0

Answer:

A

Step-by-step explanation:

using common sense you can see that the angle of c is obtuse and it would need to be smaller than angles a and b

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7x + 4y = 2<br> 7x + 2y = 8
Mariana [72]

Answer:

x  =  2 , y  =  − 3

Step-by-step explanation

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form: ( 2 , − 3 )

Equation Form: x  =  2 , y  =  − 3

3 0
2 years ago
Evaluate the expression 3(7 + 4)2 − 14 ÷ 7. (5 points)
Kitty [74]
<span>3(7 + 4)2 − 14 ÷ 7

First do the parenthesis

7 + 4 = 11

so the question looks like: 3(11)2 - 14/7

Then multiply 3, 11, and 2 together

3 x 11 x 2 = 66

66 - 14/7

14/7 equals to 2

66 - 2 

Then just simplify

66 - 2 = 64

64 is your answer

hope this helps</span>
3 0
2 years ago
Read 2 more answers
The poetry section of the library has 6 bookcases. Each bookcase has 3 shelves. There are 10 books on each shelf. How many total
torisob [31]

Answer: total books = 180

Step-by-step explanation:

Given: Poetry section of the library has 6 bookcases.

Number of shelves in each bookcase = 3

Total shelves =  (Number of shelves in each bookcase) x (Number of bookcases in each poetry section)

= 3 x 6

= 18

Number of books in each shelf = 10

Total books = (number of shelves) x 10

= 18 x 10

= 180

hence, total books in the poetry section= 180

5 0
2 years ago
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
Which of the equations is the correct representation of the following word problem
stiks02 [169]

Answer: (80+90+z)/3=90

Step-by-step explanation:

3 0
2 years ago
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