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2 years ago

Find two numbers that sum to -6 and have a product of 12

Mathematics

1 answer:

Drupady [299]2 years ago

4 0

Answer:

i think have fun

Step-by-step explanation:

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Which is the graph of x – y = 1?

Jet001 [13]

Answer:

its the second graph

Step-by-step explanation:

you could use this website to find out graph

desmos calculator

5 0

2 years ago

A pack of 12 retractable pens costs $12.24. What is the price of 2 pens?

iogann1982 [59]

$2.04 is the answer because 1 pen costs $1.02

4 0

2 years ago

A manufacturing company wants to use a sample to estimate the proportion of defective tennis balls that are produced by a machin

Kitty [74]

Answer:

The least number of tennis balls needed for the sample is 1849.

Step-by-step explanation:

The (1 - α) % confidence interval for population proportion is:

$CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

The margin of error for this interval is:

$MOE= z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

Assume that the proportion of all defective tennis balls is p = 0.50.

The information provided is:

MOE = 0.03

Confidence level = 99%

α = 1%

Compute the critical value of z for α = 1% as follows:

$z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.58$

*Use a z-table.

Compute the sample size required as follows:

$MOE= z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}$

$n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)} }{MOE}]^{2}$

$=[\frac{2.58\times \sqrt{0.50(1-0.50)} }{0.03}]^{2}\\\\=1849$

Thus, the least number of tennis balls needed for the sample is 1849.

8 0

2 years ago

Instructions: Find the missing side. Round your answer to the nearest tenth. 54° 29

Gemiola [76]

Answer:

x = 23.5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 54 = x / 29

29 sin 54 = x

x=23.46149

To the nearest tenth

x = 23.5

6 0

2 years ago

Find all the solutions of sin x + cos x = 1 in the interval [0, 2pie).

Mashcka [7]

Answer:

X = 0, π/2 in the interval [0, 2pi).

Step-by-step explanation:

Use the auxiliary angle method:

R sin(x + a) = Rsin x cos a + Rcos x sin a = 1

sin x + cos x = 1

Comparing coefficients:

R cos a = 1 and R sin a = 1, so

tan a = R sin a / R cos a = 1

So a = π/4 radians.

Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2

Therefore R = √2.

So √2 sin (x +π/4 = 1

sin x + π/4 = 1/√2

x + π/4 = π/4

x = 0 radians

Also

x = 0 + π/2 = π/2.

8 0

2 years ago