What does the double bracket mean in this equation: f(x)=[[x]]

Answers

Answer 1

Answer: [[x]] means that the integer should be rounded down to the greatest integer that is of the same value as x or is lower than x.

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Find the product of 3a+5 and 2a^(2)+4a-2

Answers

The answer is 6a3+22a2+14a−10
My steps:
(3a+5)(2a^2+4a−2)=(3a+5)(2a^2+4a+−2)=(3a)(2a^2)+(3a)(4a)+(3a)(−2)+(5)(2a^2)+(5)(4a)+(5)(−2)=6a^3+12a^2−6a+10a^2+20a−10=6a^3+22a^2+14a−10

Please help! Correct answer only!Cooper and Alice made a list of 7 psychology experiments they want to try at home. Each experiment tackles one specific psychology topic. 5 of the experiments involve cats.

If Cooper and Alice randomly choose 4 experiments to try over the summer, what is the probability that all of them involve cats?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability = 0.2603

Step-by-step explanation:

Consider the steps below;

$Probability of Experiment Involving Cats - 5 / 7,\nProbability That 4 Chosen Experiments Are All Involving Cats - ( 5 / 7 )^4,\n\n5 / 7 * 5 / 7 * 5 / 7 * 5 / 7 =\n\nConclusion; Probability - 625 / 2401$

Solution; Probability = ( About ) 0.2603

Grandma Gertrude's Chocolates, a family owned business, has an opportunity to supply its product for distribution through a large coffee house chain. However, the coffee house chain has certain specifications regarding cacao content as it wishes to advertise the health benefits (antioxidants) of the chocolate products it sells. In order to determine the mean percentage of cacao in its dark chocolate products, quality inspectors sample 36 pieces. They find a sample mean of 60% with a standard deviation of 8%. What is the correct value of t to construct a 90% confidence interval for the true mean percentage of cacao? (Round to the nearest thousandth.)Select Answer:
A. (0.577, 0.623)
B. (0.539, 0.561)
C. (0.527, 0.573)
D. (0.589, 0.611)

Answers

Answer with explanation:

Given : Sample size : n = 36

Significance level for 90% confidence : $\alpha: 1-0.9=0.1$

Sample mean : $\overline{x}=0.60$

Standard deviation : $\sigma=0.08$

By using standard normal table for t-values,

Critical t-value : $t_((n-1, \alpha/2))=t_((35,\ 0.05))=1.690$

Thus, the correct value of t to construct a 90% confidence interval for the true mean percentage of cacao : $t_((35,\ 0.05))=1.690$

Confidence interval for population mean :

$\overline{x}\pm t_((n-1, \alpha/2))(\sigma)/(√(n))\n\n=0.60\pm(1.69)(0.08)/(√(36))\n\n=0.60\pm0.0225333333333\n\n\approx0.60\pm0.023\n\n=(0.60-0.023,\ 0.60+0.023)=(0.577,\ 0.623)$

Hence, A is the correct answer .

I'm tryna find the sum

Answers

Answer:

9x + 4

Step-by-step explanation:

Combine like terms which are 5x and 4x and 6 and -2

Find the coordinates of the vertices after the given transformation. Reflection across x=-2. W(-4,-4)

Answers

Answer:

To reflect a point across the vertical line x = -2, we can use the formula:

(x, y) → (2c - x, y)

where c is the x-coordinate of the line of reflection. In this case, c = -2. Let's apply this formula to the point W(-4, -4):

W' = (2(-2) - (-4), -4)

= (-4 + 4, -4)

= (0, -4)

Therefore, after the reflection across x = -2, the coordinates of W(-4, -4) become W'(0, -4).

Step-by-step explanation:

Joshua delivered 30 hives to the local fruit farm.if the farmer has paid to use 5% of the total number of Joshua's hives,how many hives does Joshua have in all?

Answers

7 hives in all is your answer for this problem.

Answer:

600!!

Step-by-step explanation:

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The diameter of a quarter is 2.4 cm. You trace around the edge of the quarter on a sheet of paper. What is the area of the circle on the paper? Use 3.14 as an approximation for π. Round your answer to the nearest tenth.