NEED ANSWERS ASAP THREE POINTERS

Evaluate. 8(19−6⋅2) Enter your answer in the box.

Molodets [167]

Answer:

102.4

Step-by-step explanation:

Open the bracket

19-6.2=12.8

8(12.8)

8*12.8=102.4

5 0

3 years ago

The width of a rectangle is only 15% of its length. If the perimeter of the rectangle is 46, what is the length

sveta [45]

Answer:

20 units

Step-by-step explanation:

Let the length be x. According to the question,

Length = x
Width = 15% of the length

➝ Width = 15% of the length

➝ Width = 15/100x

➝ Width = 3/20x

We have the perimeter of the rectangle that is 46 units.

$\longrightarrow \sf {Perimeter_{(Rec.)} = 2(L + W) } \\$

$\longrightarrow \sf {46= 2\Bigg \lgroup x + \dfrac{3}{20}x \Bigg \rgroup } \\$

$\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{20x + 3x}{20} \Bigg \rgroup } \\$

$\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{23x}{20} \Bigg \rgroup } \\$

$\longrightarrow \sf {\dfrac{46}{2}= \dfrac{23x}{20}} \\$

$\longrightarrow \sf {23= \dfrac{23x}{20}} \\$

$\longrightarrow \sf {23 \times 20 = 23x} \\$

$\longrightarrow \sf {460= 23x} \\$

$\longrightarrow \sf {\cancel{\dfrac{460}{23}} = x} \\$

$\longrightarrow \underline{\boxed{ \bf {20\; units = x}}} \\$

Therefore, length of the rectangle is 20 units.

5 0

3 years ago

Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the fiv

Dahasolnce [82]

Answer and Explanation:

Given : Five males with an X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder.

To find :

a. Does the table show a probability distribution?

b. Find the mean and standard deviation of the random variable x.

Solution :

a) To determine that table shows a probability distribution we add up all six probabilities if the sum is 1 then it is a valid distribution.

$\sum P(X)=0.029+0.147+0.324+0.324+0.147+0.029$

$\sum P(X)=1$

Yes it is a probability distribution.

b) First we create the table as per requirements,

x P(x) xP(x) x² x²P(x)

0 0.029 0 0 0

1 0.147 0.147 1 0.147

2 0.324 0.648 4 1.296

3 0.324 0.972 9 2.916

4 0.147 0.588 16 2.352

5 0.029 0.145 25 0.725

∑P(x)=1 ∑xP(x)=2.5 ∑x²P(x)=7.436

The mean of the random variable is

$\mu=\sum xP(x)=2.5$

The standard deviation of the random sample is

$Variance=\sigma^2$

$\sigma^2=\sum x^2P(x)-\mu^2$

$\sigma^2=7.436-(2.5)^2$

$\sigma^2=7.436-6.25$

$\sigma^2=1.186$

$\sigma=\sqrt{1.186}$

$\sigma=1.08$

Therefore, The mean is 2.5 and the standard deviation is 1.08.

5 0

3 years ago

What is the slope of a line that is parallel to y=5x + 3

Sedaia [141]

Hi there!

The slope of this line is 5*. Therefore, the slope of any line that is parallel to y = 5x + 3 is 5 as well (since parallel lines have the same slope).

* In a linear formula in standard form y = ax + b the a represents the slope of the line. In other words: in a linear formula in above form, the slope is the number in front of x.

6 0

4 years ago

Read 2 more answers

Please help me with this question and please show work I appreciate it

kicyunya [14]

10 would be the answer because it is a ijdndnskoskansnsjdjksmskkssksjjsjxhxjdjdnd

6 0

3 years ago