2. (01.02 MC)<br> Find the value of the expression 4a4 – 2b2 + 40 when a = 2 and b = 7. (5 points)

For what real numbers x is the value of x2 – 6x + 9 negative

Nutka1998 [239]

A real numbers are numbers that can be found on a number line, they include both rational and irrational numbers.
We can first solve the equation;
x² - 6x + 9 =0, using completing square method;
x²- 6x + (-3)² = -9 + (-3)²
(x-3)² = 0
x = 3
therefore, both values of x are 3, thus the expression has no real number x is negative.

3 0

3 years ago

Read 2 more answers

Amelie is making a recipe that uses 1 3/4 cups flour. She is making 2 1/2 times the original recipe.

elixir [45]

Answer:

She would need $4\frac{3}{8}$ flour to make $2\frac{1}{2}$ times the recipe.

Step-by-step explanation:

To make 1 recipe Amelia uses = $1 \frac{3}{4}\ cups$ of flour.

So, to make $2\frac{1}{2}$ times the recipe she would need = $1 \frac{3}{4}\times 2\frac{1}{2}$ .

We evaluate the above mixed numbers by converting them to fraction(by multiplying denominator with whole number and adding to numerator and write as fraction of same denominator.).

$=\frac{7}{4}\times \frac{5}{2}$

$=\frac{35}{8}$

Then converting back to mixed number (by dividing the numerator by denominator and writing the quotient as the whole number and the remainder as fraction with same denominator.

$\frac{35}{8}=4\frac{3}{8}$

So, she would need $4\frac{3}{8}$ flour to make $2\frac{1}{2}$ times the recipe.

7 0

3 years ago

In a study of red/green color blindness, 700 men and 2850 women are randomly selected and tested. Among the men, 66 have red/gre

olga55 [171]

Answer:

$z=\frac{0.0943-0.00281}{\sqrt{0.0208(1-0.0208)(\frac{1}{700}+\frac{1}{2850})}}=15.197$

$p_v =P(Z>15.197) \approx 0$

If we compare the p value and using any significance level for example $\alpha=0.05$ always $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness.is significanlty higher than the proportion of women with red/green color blindness.

Step-by-step explanation:

Data given and notation

$X_{M}=66$ represent the number of men with red/green color blindness.

$X_{W}=8$ represent the number of women with red/green color blindness.

$n_{M}=700$ sample of male slected

$n_{W}=2850$ sample of female selected

$p_{M}=\frac{66}{700}=0.0943$ represent the proportion of male with red/green color blindness.

$p_{W}=\frac{8}{2850}=0.00281$ represent the proportion of female with red/green color blindness.

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the proportion of men with red/green color blindness. is higher than the proportionof women with red/green color blindness. , the system of hypothesis would be:

Null hypothesis: $p_{M} \leq p_{W}$

Alternative hypothesis: $p_{M} > p_{W}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}$ (1)

Where $\hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{66+8}{700+2850}=0.0208$

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.0943-0.00281}{\sqrt{0.0208(1-0.0208)(\frac{1}{700}+\frac{1}{2850})}}=15.197$

Statistical decision

For this case we don't have a significance level provided $\alpha$ , but we can calculate the p value for this test.

Since is a one side test the p value would be:

$p_v =P(Z>15.197) \approx 0$

If we compare the p value and using any significance level for example $\alpha=0.05$ always $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness.is significanlty higher than the proportion of women with red/green color blindness.

8 0

3 years ago

*URGENT* 40 POINTS<br> Determine the measure of angle ESA in the circle below. <br> Explain.

AnnyKZ [126]

Its 70 because it is

7 0

2 years ago

What are the factors of 36x^8-49

adell [148]

Answer:

Bsdjfjfdffg

Step-by-step explanation:

3 0

3 years ago

2. (01.02 MC) Find the value of the expression 4a4 – 2b2 + 40 when a = 2 and b = 7. (5 points)