A sample of 12 measurements has a mean of 8.5 and a sample of 20 measurements has a mean of 7.5. Find the mean of all 32 measurements.

Answer:

1.  10.3 square units.

Step-by-step explanation:  

The general formula for area of triangle is [tex]\frac{1}{2}(\text{ Base}\times\text{ Height}})[/tex]. We can also find area of a triangle using trigonometric area formula.

[tex]Area=\frac{1}{2} ab\text{ sin}(c)[/tex], where a represents length of base and height of triangle is represented by [tex]b\text { sin}(c)[/tex].  

We have been given two angle measures but we can only use sine of included angle whose two side lengths are given. In our triangle the angle that measures 31 degrees in included angle of sides EF and DF.  

Now let us substitute our given values in the above formula.  

[tex]Area=\frac{1}{2}\times 8\times 5\text{ sin}(31)[/tex]

[tex]Area=\frac{1}{2}\times 8\times 5\times 0.51503807491[/tex]

[tex]Area=4\times 5 \times 0.51503807491[/tex]

[tex]Area=20 \times 0.51503807491[/tex]

[tex]Area=10.3007614982\approx 10.3[/tex]

Therefore, the area of triangle DEF is 10.3 square units and 1st option is the correct choice.

Answer:

10.3= the awnser

Step-by-step explanation:

just took test and got it right.

The Variance is  [tex]\int\limits^1_0 {(x- \mu)^2(2(1-x))} \, dx[/tex].

Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.

Given:

E(x) = [tex]\int\limits^1_0 {x(2(1-x))} \, dx[/tex]

=  [tex]\int\limits^1_0 {(2x - 2x^2)} \, dx[/tex]

For the variance, if μ is the mean, then

Var(x) = E( x- μ)²

= [tex]\int\limits^1_0 {(x- \mu)^2(2(1-x))} \, dx[/tex]

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There are 60 dimes and 32 quarters.

Given that a sum of $ 14 is made of 92 coins consisting of dimes and quarters, to determine how many are there of each kind of coin, the following calculation must be performed:

Therefore, there are 60 dimes and 32 quarters.

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Answer:

she can plant 4 rows of bushes

Step-by-step explanation:

6 x _ = 24 (4) or 24 divided by 6 = 4

Answer: B. -0.15

Step-by-step explanation: It is the farthest from -1 so it would be -0.15.

The correct r - value which represents the weakest correlation is, - 0.15.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, Apply the absolute value to each number.

In other words, remove the negative sign to determine the positive version of that number.

-0.75 turns into 0.75

-0.15 turns into 0.15

-0.55 turns into 0.55

-0.35 turns into 0.35

Here, The smallest result is 0.15, which is closest to 0.

Thus, The closer r is to 0, the weaker the correlation.

Hence, The correct r - value which represents the weakest correlation is, - 0.15.

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Final answer:

In genetics, crossbreeding a white-eyed male fruit fly with a heterozygous red-eyed female typically results in a 1:1 ratio of red-eyed to white-eyed offspring if eye color is an X-linked trait and red is dominant over white.

Explanation:

The question pertains to genetics, specifically the inheritance patterns of eye color in fruit flies (Drosophila melanogaster), which is a classic example in the field of genetics. When crossing a white-eyed male (mutant allele) with a female that is heterozygous for red eye color (one red allele and one white allele), the offspring will have a 1:1 ratio of red-eyed to white-eyed if eye color is an X-linked trait. This is because the male passes on his Y chromosome without the eye color allele to half the offspring, and his X chromosome with the white eye color allele to the other half. The female passes on one of her X chromosomes to all the offspring—half of these will carry the red allele and the other half will carry the white allele.

If the trait follows simple Mendelian inheritance, assuming red eye color is dominant over white, the offspring ratio will be 50% red-eyed (having one red allele from the mother and one white allele from the father), and 50% white-eyed (having one white allele from the mother and one from the father).

it's 3 to 6 your welcome have a nice day :>

7(3x-13)=224

21x-91 = 224

21x = 315

x = 315 / 21

x = 15

Answer:

A: f(x) = 4(3.24)x

(you forgot to put the "^" symbol before the X to show it is rising to "2x",, AKA an exponent, but that's ok <3

Step-by-step explanation:

Please do not listen to the other answer! It is wrong and i will show you why.

First we need to take a look at the exponent and the number in parentheses. If anyone remembers, we need to use the distributive property to distribute the '2' in the exponent '2x' to the number(s) inside the parentheses.

So you would go: 1.8 x 2 = 3.24

You would then put the 3.24 in the place of the 1.8 to give you:

f(x) = 4(3.24)^x

Now, you may ask, 'biscuit, why do we keep the exponent 'x'? shouldn't we put it inside the parentheses?',, and to that i say no! We only used the 2 from the exponent, so the x stays in it's place.

You also might ask 'biscuit, why don't we go a step further and multiply the 4 by the 3.24?',, and to that I also say no! Remember, the question asked us to find a function equivalent to our original equation, not solve the whole equation <3

If you have any questions please don't hesitate to ask!

-Biscuit08

The rate of interest monthly is 0.55%.

Given that,

Based on the above information, the calculation is as follows:

The formula is

= RATE(NPER,PMT,-PV,FV,TYPE)

After applying the above formula, the rate of interest monthly is 0.55%.

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