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3 years ago

Find the measures of the angles.

Mathematics

1 answer:

Keith_Richards [23]3 years ago

7 0

Answer:

a1=90

a2=27

a3=61

a4=29

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A sample of 16 items from population 1 has a sample variance 5.8 and a sample of 21 items from population 2 has a sample varianc

Nady [450]

Answer:

Reject the null hypothesis.

Step-by-step explanation:

n1 = 16

n2 = 21

S.V1 = 5.8

S.V2 = 2.4

$\alpha$ = 0.05

$H_{0}$ = Population Variance 1 ≤ Population Variance 2

$H_{a}$ = Population Variance 1 > Population Variance 2

Test statistic value = 5.8 / 2.4 = 2.417

Degrees of freedom is n - 1

15 and 20

Critical value is $F_{0.05}$ = 2.2

2.417 > 2.2

we reject the null hypothesis as the critical value is greater than the test statistic.

3 0

3 years ago

If an employer reduces the working week from 40 hours to 35 hours, with no

tangare [24]

Answer:

14.285714285714 %

Step-by-step explanation:

suppose the weekly payment is of x dollars

Then

Previous payment : $(x/40) per hour

New payment : $(x/35) per hour

Then

The percentage increase in the hourly rate of pay is :

$=\frac{\frac{x}{35} -\frac{x}{40} }{\frac{x}{40} } \times100$

$=\frac{\frac{5x}{1400} }{\frac{x}{40} } \times100$

$=\frac{5x}{1400} \times \frac{40}{x} \times100$

$=\frac{200}{1400} \times100$

$=\frac{1}{7} \times100$

$=14.285714285714$

6 0

2 years ago

Solve for x: x - 2 = 10

larisa86 [58]

Answer:

x=12

Step-by-step explanation:

you just have to add 2 to both sides to get x by itself and 10+2=12. therefore, x=12

8 0

3 years ago

Read 2 more answers

Fraction multiplying by fractions

Amanda [17]

$\bf \cfrac{2}{9}\times a=\cfrac{3}{15}\implies \cfrac{2a}{9}=\cfrac{1}{5}\implies 2a=\cfrac{9\cdot 1}{15}\implies 2a=\cfrac{3}{5}
\\\\\\
a=\cfrac{3}{2\cdot 5}
\implies 
a=\cfrac{3}{10}\\\\
-------------------------------\\\\
\cfrac{2}{5}\times b=\cfrac{7}{12}\implies \cfrac{2b}{5}=\cfrac{7}{12}\implies 2b=\cfrac{5\cdot 7}{12}\implies 2b=\cfrac{35}{12}
\\\\\\
b=\cfrac{35}{2\cdot 12}\implies b=\cfrac{35}{24}$

3 0

3 years ago

Please help this is urgent. | 2.Here are four expressions that have the value -1/2 : -1/4 + (-1/4), 1/2 - 1, -2 x 1/4, -1 ➗ 2 .

Nesterboy [21]

Answer:

Step-by-step explanation:

1 - 2 + 10 o lw. First find a common denominator. 3 * 5. After cross reducing, multiply across ... Divide the fraction to get a decimal answer. 21 into a an. Jinit. 5 = 1.25 ... 3 = -x +8. -8 = -8. = -5 = -X. =-1(-5) = -x (-1). = 5 = x. Set up a ratio, and cross ... Combine like terms, and solve for x. Divide both sides by 2. = x= 20. = 5-1">4.

5 0

3 years ago

Read 2 more answers