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3 years ago

For what values of y: Is the value of the fraction 5−2y 12 always greater than the value of 1−6y?

Mathematics

1 answer:

Rasek [7]3 years ago

4 0

Answer:

$(5 - 2y) \div 12 > 1 - 6y$

$5 - 2y > 12 - 72y$

$- 7 > - 70y$

$7 < 70y$

$y > 1 \div 10 = 0.1$

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genetic experiment with peas resulted in one sample of offspring that consisted of green peas and yellow peas. a. Construct a %

Andreas93 [3]

Complete Question

A genetic experiment with peas resulted in one sample of offspring that consisted of 432 green peas and 164 yellow peas. a. Construct a 95% confidence interval to estimate of the percentage of yellow peas. b. It was expected that 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is not 25%, do the results contradict expectations?

Answer:

The 95% confidence interval is $0.2392 < p < 0.3108$

No, the confidence interval includes 0.25, so the true percentage could easily equal 25%

Step-by-step explanation:

From the question we are told that

The total sample size is $n = 432 + 164 =596$

The number of offspring that is yellow peas is $y = 432$

The number of offspring that is green peas is $g = 164$

The sample proportion for offspring that are yellow peas is mathematically evaluated as

$\r p = \frac{ 164 }{596}$

$\r p = 0.275$

Given the the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = (100 - 95)\%$

$\alpha = 5\% = 0.0 5$

The critical value of $\frac{\alpha }{2}$ from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically evaluated as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1- \r p )}{n} }$

=> $E = 1.96 * \sqrt{\frac{0.275 (1- 0.275 )}{596} }$

=> $E = 0.0358$

The 95% confidence interval is mathematically represented as

$\r p - E < p < \r p + E$

=> $0.275 - 0.0358 < p < 0.275 + 0.0358$

=> $0.2392 < p < 0.3108$

6 0

3 years ago

Pls answer fast!! Which operation should you perform first when you simplify the following expression?

Andrei [34K]

Answer: Division

Parentheses first according to the order of operations, and the next thing you do is divide inside the parentheses.

3 0

3 years ago

What is a cubic polynomial function in standard form with zeroes 1, –2, and 2?

Lisa [10]

Starting off with the polynomial in standard form would be extremely difficult, but we can construct one fairly easily with the zeroes we've been given.

We know from the given zeroes that our function has the value 0 when x = 1, x = -2, and x = 2. Manipulating each equation, we can rewrite them as x - 1 = 0, x + 2 = 0, and x - 2 = 0. To construct our polynomial, we simply use all three of the expressions on the left side of the equation as factors and multiply them together, obtaining:

$(x-1)(x+2)(x-2)=0$

Notice that we can easily obtain each our three zeroes by dividing both sides by the two other factors. From here, we just need to expand the left-hand side of the equation. I'll show the work required here:

$(x-1)(x+2)(x-2)=0\\
\big[(x-1)x+(x-1)2\big](x-2)=0\\
(x^2-x+2x-2)(x-2)=0\\
(x^2+x-2)(x-2)=0\\
(x^2+x-2)x-(x^2+x-2)2=0\\
x^3+x^2-2x-(2x^2+2x-4)=0\\
x^3+x^2-2x-2x^2-2x+4=0\\
x^3+(x^2-2x^2)+(-2x-2x)+4=0\\
x^3-x^2-4x+4=0\\$

So, in standard form, our cubic polynomial would be $x^3-x^2-4x+4$

3 0

4 years ago

Who can help me ?????

klio [65]

The answer should be 3.

8 0

4 years ago

Read 2 more answers

For every 10 fish you have, you need 5 gall how many gallons pf water do u have for 1 fish

frutty [35]

10/5 = 1/x
cross multiply
10x = 5
x = 5/10
x = 1/2...u need 1/2 gallon per fish

4 0

3 years ago