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3 years ago

The length of a rectangle is 3 more than twice the width. What algebraic expression represents this situation?

Mathematics

1 answer:

Sav [38]3 years ago

3 0

the first answer is D) 2w + 3

the second, i believe is B) 7 (1 - m)

hopefully :))

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The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding

Andru [333]

Answer:

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Step-by-step explanation:

Values (x) ∑(Xi-X)^2

----------------------------------

29.1 0.1702

28.5 1.0252

28.8 0.5077

29.4 0.0127

29.8 0.0827

30.1 0.3452

30.6 1.1827

----------------------------------------

236.1 3.4088

Mean = 236.1 / 8 = 29.51

$S_{x}=\sqrt{3.4088/(8-1)}=0.6978$

Statement of the null hypothesis:

H0: u ≥ 30 the mean wedding cost is not less than $30,000

H1: u < 30 the mean wedding cost is less than $30,000

Test Statistic:

$t=\frac{X-u}{S/\sqrt{n}}=\frac{29.51-30}{0.6978/\sqrt{8}}= \frac{-0.49}{0.2467}=-1.9861$

Test criteria:

SIgnificance level = 0.05

Degrees of freedom = df = n - 1 = 8 - 1 = 7

Reject null hypothesis (H0) if

$t$

Finding in the t distribution table α=0.05 with df=7, we have

$t_{0.05,7}=2.365$

$t>-t_{0.05,7}$ = -1.9861 > -2.365

Result: Fail to reject null hypothesis

Conclusion: Do no reject the null hypothesis

u ≥ 30 the mean wedding cost is not less than $30,000

There is no sufficient evidence to support the claim that wedding cost is less than $30000.

Hope this helps!

5 0

3 years ago

A stadium has 52,000 seats. Seats sell for $42 in section A, $36 in section B, and $30 in section C. The number of seats in sect

Charra [1.4K]

Let the number of seats in section A be x, that of section B y and that of secyion C z. Then
x + y + z = 52000 . . . (1)
x = y + z . . . (2)
42x + 36y + 30z = 1960200 . . . (3)

Putting (2) into (1), gives
2x = 52000
x = 52000/2 = 26000
From (2) and (3), we have
y + z = 26000 . . . (4)
42(26000) + 36y + 30z = 1960200
36y + 30z = 1960200 - 1092000
36y + 30z = 868200 . . . (5)

(4) * 30 => 30y + 30z = 780000 . . . (6)

(5) - (6) => 6y = 88200
y = 88200/6 = 14700

From (4), z = 26000 - 14700 = 11300

Therefore, there are 26,000 seats in section A, 14,700 seats in section B and 11,300 seats in section C.

7 0

3 years ago

Your computer monitor has a width of 14.86 inches and a height of 11.15 inches. what is the area of the monitor display in squar

Mumz [18]

Assuming a rectangular monitor

the area of a rectangle is
A=B*H
B-base
H- Height

multiply 14.86 by 11.15
sorry, then make a unit conversion into m^2

5 0

4 years ago

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Jasmine's dessert takes 3½ minutes to cook in the microwave. <br><br> How many seconds is this?

Artemon [7]

210 seconds

1 minute = 60 seconds

4 0

3 years ago

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6 times the difference between q and 1

kherson [118]

Answer: