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antiseptic1488 [7]
2 years ago
10

11/12− 1/6q+5/6q−1/3

Mathematics
1 answer:
Contact [7]2 years ago
4 0

Answer: 16/12 = 1 4/12 or 1 2/6



Step-by-step explanation:

convert all the denominators in 12 (common denom.)

11/12 - 2/12 + 10/12 - 4/12

9/12 + 10/12= 19/12 -4/12= 16/12

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The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.30 liters. A health camp
Rom4ik [11]

Answer:

H0: μ ≤ 1.30

H1: μ > 1.30

|Test statistic | > 1.833 ; Reject H0

Test statistic = 3.11

Yes

Pvalue = 0.006

Step-by-step explanation:

H0: μ ≤ 1.30

H1: μ > 1.30

Samples, X ; 1.36,1.35,1.33, 1.66, 1.58, 1.32, 1.38, 1.42, 1.90, 1.54

Xbar = 14.84 / 10 = 1.484

Standard deviation, s = 0.187 (calculator)

Decison rule :

|Test statistic | > TCritical ; reject H0

df = n - 1 = 10 - 1 = 9

Tcritical(0.05; 9) = 1.833

|Test statistic | > 1.833 ; Reject H0

Test statistic :

(xbar - μ) ÷ (s/√(n))

(1.484 - 1.30) ÷ (0.187/√(10))

0.184 / 0.0591345

Test statistic = 3.11

Since ;

|Test statistic | > TCritical ; We reject H0 and conclude that water consumption has increased

Pvalue estimate using the Pvalue calculator :

Pvalue = 0.006

7 0
2 years ago
How much does the angels add up to in a rectangle
monitta
One of the requirements of a rectangle is that it must have four right angles ( a right angle is 90 degrees) so you just multiply 90 by 4 and you get 360 degrees
6 0
3 years ago
Read 2 more answers
Currently a product has a gear ratio of 17:5, driver:driven. If the company wants to change the product to have the same gear ra
Sedbober [7]

Answer:

10 teeth must go on the driven gear

Step-by-step explanation:

Let the number of teeth be x

In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that

17:5 = 34:x

\frac{17}{5} = \frac{34}{x}\\Now\ let\ us\ cross-multiply\\17 \times x = 5 \times 34\\17x = 170\\dividing\ both\ sides\ by\ 17 \\x = \frac{170}{17} \\x = 10

∴ 10 teeth must go on the driven gear

hence ratio = 34:10

8 0
2 years ago
I WILL MARK BRANNIEST Painter takes 2 3/5 hours to paint a wall how many hours will the painter take to paint 8 walls if she wor
SVETLANKA909090 [29]

Answer:

A: 20 4/5

Step-by-step explanation:

3 0
3 years ago
Find the measure of angle A
Lapatulllka [165]

Answer:

Step-by-step explanation:

AB and DC are parallel, so ∠B and ∠C are supplementary angles.

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AD and BC are congruent. ∠A = ∠B = 79°

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