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3 years ago

Question Solve the equation. q+5/9=1/6 q=

Mathematics

2 answers:

Elodia [21]3 years ago

6 0

Answer:

q = - $\frac{7}{18}$

Step-by-step explanation:

q + $\frac{5}{9}$ = $\frac{1}{6}$

Multiply through by 18 ( the LCM of 9 and 6 ) to clear the fractions

18q + 10 = 3 ( subtract 10 from both sides )

18q = - 7 ( divide both sides by 18 )

q = - $\frac{7}{18}$

VLD [36.1K]3 years ago

3 0

Q= 1/6 - 5/9
q= -7/18

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The area of a rectangle garden is 38 1/4 Square meters the width of the garden is 4 1/2 meters. Find the length of the garden

maxonik [38]

Area of rectangle it's the width multiply by the lenth.

A=W*L

A=38 1/4 m²
W=4 1/2 m²

So: 38 1/4 = 4 1/2 * L
Dividing both sides by 4 1/2: : 4 1/2 :4 1/2
 $38\frac14\ :\ 4\frac12\ =\ L\\\\L=\frac{153}4\ :\ \frac{9}2\\\\L=\frac{153}4\ \cdot\ \frac2{9}\\\\L=\frac{17}{2}\cdot\ \frac1{1}\\\\L=8\frac12$

Answer: The length of the garden is 8 1/2 meters

3 0

3 years ago

One True Love? A survey that asked whether people agree or disagree with the statement ‘‘There is only one true love for each pe

sertanlavr [38]

Answer:

99% confidence interval for the proportion of people who disagree with the statement is [0.667 , 0.713].

Step-by-step explanation:

We are given that a survey that asked whether people agree or disagree with the statement ‘‘There is only one true love for each person." has been conducted. The result is that 735 of the 2625 respondents agreed, 1812 disagreed, and 78 answered ‘‘don’t know."

Firstly, the pivotal quantity for 99% confidence interval for the population proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of people who disagree with the statement = $\frac{1812}{2625}$ = 0.69

n = sample of respondents = 2625

p = population proportion of people who disagree with statement

Here for constructing 99% confidence interval we have used One-sample z proportion statistics.

So, 99% confidence interval for the population proportion, p is ;

P(-2.58 < N(0,1) < 2.58) = 0.99 {As the critical value of z at 0.5% level

of significance are -2.58 & 2.58}

P(-2.58 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 2.58) = 0.99

P( $-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.99

P( $\hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.99

99% confidence interval for p = [ $\hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.69-2.58 \times {\sqrt{\frac{0.69(1-0.69)}{2625} } }$ , $0.69+2.58 \times {\sqrt{\frac{0.69(1-0.69)}{2625} } }$ ]

= [0.667 , 0.713]

Therefore, 99% confidence interval for the proportion of people who disagree with the statement is [0.667 , 0.713].

5 0

3 years ago

Find measure jk Answers are 52, 128, 154 & 180

Mamont248 [21]

Answer:

b. 128°

Step-by-step explanation:

arc LJ = 2 (26) = 52°

arc KL = 180° (half circle)

arc JK = 360° - (arc LJ + arc KL)

arc JK = 360° - 232°

arc JK = 128°

Answer

b. 128°

8 0

3 years ago

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pashok25 [27]

Answer:

square numbers are numbers raised up to the power of two in essence the number multiplied by it self

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3 years ago

Zachary went to the store to buy some walnuts. The price per pound of the walnuts is

Katen [24]

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2 years ago