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2 years ago

The equation:

Mathematics

1 answer:

serious [3.7K]2 years ago

5 0

$2x + 4 = - 8 + 5x \\ 12 = 3x \\ x = 4$

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Part 1 out of 2

Ainat [17]

Answer:

In June, the bakery gained $313.85

⇒ 2,205 – 1891.15 = 313.85

In July, the bakery gained $-77.33

⇒ 2,199 – 1807.82 = 391.18 ⇒ 313.85 (from June) – 391.18 = -77.33 gained OR 77.33 lost

In August, the bakery gained $55.65

⇒ 2209 – 1873.47 = 335.53 ⇒ 391.18 (from July) – 335.53 = 55.65 gained

Hope this helps! :)

7 0

2 years ago

Two sisters, sister A and sister B, play SCRABBLE with each other every evening. Sister A is a statistician, and she draws a ran

snow_tiger [21]

Answer:

First question: LCL = 522, UCL = 1000.5

Second question: A sample size no smaller than 418 is needed.

Step-by-step explanation:

First question:

Lower bound:

0.36 of 1450. So

0.36*1450 = 522

Upper bound:

0.69 of 1450. So

0.69*1450 = 1000.5

LCL = 522, UCL = 1000.5

Second question:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

The project manager believes that p will turn out to be approximately 0.11.

This means that $\pi = 0.11$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The project manager wants to estimate the proportion to within 0.03

This means that the sample size needed is given by n, and n is found when M = 0.03. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.96\sqrt{\frac{0.11*0.89}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.11*0.89}$

$\sqrt{n} = \frac{1.96\sqrt{0.11*0.89}}{0.03}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.11*0.89}}{0.03})^2$

$n = 417.9$

Rounding up

A sample size no smaller than 418 is needed.

6 0

2 years ago

HELP ME PLEASE solve for the right triangle

ololo11 [35]

Answer:

XYsq = 9sq - 6sq

XY = √45 = 6.7 units

cosZ = 6/9 = .666

Z = 48.25°

sinY = 6/9 = .666

Y = 41.75°

hope it helps :D

7 0

2 years ago

Which expression is equivalent 3m+1-m? 2+ m-1+m 1+m 3m-1 3m

Papessa [141]

Answer:

2+ m-1+m..............

7 0

2 years ago

Solve for x if 2(1+3x)=14

Gekata [30.6K]

Answer:

x=2

Step-by-step explanation:

2(1+3x)=14

Divide each side by 2

2/2(1+3x)=14/2

1+3x = 7

Subtract 1 from each side

3x =7-1

3x = 6

Divide by 3

3x/3 = 6/3

x =2

3 0

2 years ago