All categories

3 years ago

I'll give 100 points to who gives the best answer.

Mathematics

1 answer:

nataly862011 [7]3 years ago

4 0

Total shaded area is 41 square feet.

Split the shaded area into 3 shapes, calculate the area of each shape then add them together.

See attached picture.

Area of non shaded region:

8x 16 = 128 square feet - 41 = 87 square feet.

You might be interested in

Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How

mixer [17]

To solve this, we are going to use the compound interest formula: $A=P(1+ \frac{r}{n} )^{nt}$
where
$A$ is the final amount after $t$ years
$P$ is the initial investment
$r$ is the interest rate in decimal form
$n$ is the number of times the interest is compounded per year

For the first 4 years we know that: $P=2350$ , $r= \frac{4.2}{100} =0.042$ , $t=4$ , and since the problem is not specifying how often the interest is communed, we are going to assume it is compounded annually; therefore, $n=1$ . Lest replace those values in our formula:
$A=P(1+ \frac{r}{n} )^{nt}$
$A=2350(1+ \frac{0.042}{1} )^{(1)(4)}$
$A=2350(1+0.042)^{4}$
$A=2770.38$

Now, for the next 6 years the intial investment will be the final amount from our previous step, so $P=2770.38$ . We also know that: $r= \frac{4.9}{100} =0.049$ , $t=6$ , and $n=1$ . Lets replace those values in our formula one more time:
$A=P(1+ \frac{r}{n} )^{nt}$
$A=2770.38(1+ \frac{0.049}{1})^{(1)(6)$
$A=2770.38(1+0.049)^6$
$A=3691.41$

We can conclude that Collin will have <span>£3691.41 in his account after 10 years.</span>

4 0

4 years ago

Please help please please

olasank [31]

Hola!

Q. A regular Hexagon has reflection symmetry : True!

Because,
A shape has reflection symmetry only when it has one or more lines of symmetry.

A line of symmetry is a line that passes through a figure such that it splits the figure into two congruent halves.

[ refer the attachment. ]

hope it helps!

6 0

3 years ago

Which of the following choices is the standard deviation of the sample shown

frozen [14]

Answer:

Mean = (19 + 20 + 21 + 22 + 23)/5 = 105/5 = 21

x x - mean (x - mean)^2

19 -2 4

20 -1 1

21 0 0

22 1 1

23 2 4

Sum = 10

Step-by-step explanation:

7 0

4 years ago

Find Surface area of the prism!!!!! please help me!!!!

Sonbull [250]

Answer:

should be 104

Step-by-step explanation:

30 + 30 + 10 + 10 + 12 + 12

7 0

3 years ago

Read 2 more answers

A racing car consumes a mean of 100 gallons of gas per race with a variance of 64. If 44 racing cars are randomly selected, what

lesantik [10]

Answer:

83.89% probability that the sample mean would be greater than 98.8 gallons

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean \mu and standard deviation, which is also called standard error $s = \frac{\sigma}{\sqrt{n}}$