Express -2.456 x 10 to the power of six in standard form

Answer:

[tex]P(x = 3) = 0.048[/tex]

Step-by-step explanation:

Given

[tex]n = 10[/tex]

[tex]p=59\% = 0.59[/tex]

Required

[tex]P(x = 3)[/tex] --- probability that 3 are afflicted

This question illustrates binomial probability and it is calcuated using:

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]

So, we have:

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * (1 - 0.59)^{10-3}[/tex]

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 120 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 0.048[/tex]

Answer:

The answer is B

Step-by-step explanation:

B

The 22 Australian dollar in USD is 18.33.

Currency is a medium of exchange for goods or services within an economy, usually issued by a government or central bank and generally accepted at its face value.

Given that, we need to determine that there are how many USD in 22 AUD,

So, 1.2 Australian dollars equals 1 US dollar.

Therefore,

22 AUD = 22 x 1 / 1.2 = 18.33

Hence, the 22 Australian dollar in USD is 18.33.

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Answer:

I think 84 but you may need to check just to be sure :)

Answer: There are 400 tadpoles in the year 1994.

This is because any point is of the form (x,y) where in this case

x = year number

y = tadpole population number

So (x,y) = (1994, 400) means x = 1994 and y = 400 pair up together.

In short, the year x = 1994 corresponds to the population of y = 400 tadpoles.

From the years 1990 to 1992, the population is increasing since the curve goes upward when moving from left to right. Then from 1992 to 1993, the population decreases hitting its lowest point in that specific region. From 1993 to 1997, the population increases before it decreases again from 1997 to 1999.

Answer:

[tex](60\times 50)\div 3[/tex]

Step-by-step explanation:

We are given that

Length of roll of sod, l=3 feet

Width of roll of sod, b=1 feet

Length of courtyard, L=60 feet

Breadth of courtyard, B=50 feet

Area of rectangle=[tex]Length\times breadth[/tex]

Using the formula

Area of roll of sod=[tex]3\times 1 feet^2[/tex]

Area of roll of sod=3 square feet

Area of courtyard=[tex]60\times 50[/tex] square feet

Number of rolls of sod needed=[tex]\frac{Area\;of\;courtyard}{area\;of\;roll\;of\;sod}[/tex]

Using the formula

Number of rolls of sod needed=[tex]\frac{60\times 50}{3}[/tex]

Number of rolls of sod needed=[tex](60\times 50)\div 3[/tex]

This is required expression which represents the number of rolls of sod needed.

Answer:

it must be 21

Step-by-step explanation:

I have very fast I think giving test just thank the answer after test mark me brainliest

Answer:

alter I think I am small but also I know these

very easy    

[tex]\displaystyle\ (f-g)(x)=f(x)-g(x)=4x^2-5x-3x^2-6x+4=\boxed{x^2-11x+4}[/tex]

[tex]\\ \sf\longmapsto f(x)=4x^2-5x[/tex]

[tex]\\ \sf\longmapsto g(x)=3x^2+6x-4[/tex]

Now

[tex]\\ \sf\longmapsto (f-g)(x)[/tex]

[tex]\\ \sf\longmapsto f(x)-g(x)[/tex]

[tex]\\ \sf\longmapsto 4x^2-5x-(3x^2+6x-4)[/tex]

[tex]\\ \sf\longmapsto 4x^2-5x-3x^2-6x+4[/tex]

[tex]\\ \sf\longmapsto x^2-11x+4[/tex]

[Part A] a histogram

     A histogram would best represent the range of the scores by quartiles.

     A dot plot would should how the data is distributed, but it does not easily show quartiles. A box plot, while like a histogram, only uses an interval scale. The histogram can show discrete data, and the data given is. What does discrete data mean? It means, in summary, that the data points are individually distinct.

     Using this information, we can decide that a histogram is probably our best choice.

[Part B] see attached

     First, we will label the y-axis "Frequency" and the x-axis "Score" to show which value is which. We will then label the axes with numbers to represent our data.

     Next, we will put our data into the graph. See attached, I made this using www.socscistatistics.com/descriptive/histograms/.

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Answer:

[tex]y= \frac{1}{2} x +6[/tex]

Step-by-step explanation:

[tex]x/2-y+6=0[/tex]

[tex]x/2 +6=y[/tex]

[tex]y= \frac{1}{2} x +6[/tex]

Answer:

y=2/5x

Step-by-step explanation:

Rise over run: you rise by 2, run by 5. Or you can use the slope formula: m=y2-y1/x2-x1

2-0/5-0=2/5=m

Answer:

0 so D

Step-by-step explanation:

The shape didnt change at all. All the sides are 5 for both triangles.

Answer:

12-15/ - 45=

3/-45

=-15

Step by step explanation:

Answer:

67

Step-by-step explanation:

GOOD LUCK!!

Answer:

si

Step-by-step explanation:

si  :v

Answer:

yes

Step-by-step explanation:

y = x + 89

-5 = -94 + 89

-5 = -5

Answer:

D : [tex]x^{2} +81=x^{2} +20x+100[/tex]

Step-by-step explanation:

We start with the original equation:

[tex]\sqrt{x^{2} +81} =x+10[/tex]

Squaring both sides to remove the square root we get:

[tex]x^{2} +81=(x+10)^{2}[/tex]

Expanding the right side:

[tex]x^{2} +81=(x+10)(x+10)[/tex]

Multiplying the right side out and combining like terms we get:

[tex]x^{2} +81=x^{2} +20x+100[/tex]

Answer:

24.5 inches need to be cut

Step-by-step explanation:

Answer:

y = 20x

Step-by-step explanation:

For members

y = 1/2x + 6

Where,

y = yearly cost in dollars

x = total game tokens purchased

1/2 = cost of each game token

6 = yearly fee

For non members: without yearly fee

A nonmember pays $20 per game token

y = 20x represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year

Answer:

B,C,E

Step-by-step explanation:

Got it right on Edge

Answer:

-8x - 1

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

-10x - 10 + 2x + 9

Step 2: Simplify

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{-10x - 10 + 2x + 9}[/tex]

[tex]\huge\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\large\textsf{-10x + 2x - 10 + 9}[/tex]

[tex]\large\textsf{-10x + 2x}\\\\\large\textsf{ = \bf -8x}[/tex]

[tex]\large\textsf{-10 + 9}\\\\\large\textsf{ = \bf -1}[/tex]

[tex]\boxed{= \large\textsf{\bf -8x - 1}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf -8x - 1 }}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

forty-eight-thousand five-hundred and ninety-six

Answer:

1452628383763637£838

Answer:

B

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

if you're looking at the table and you heard of rise/run, your rise is -10 if you go down from (6,6) and -5 if you go left to reach (1,-4). That will give you -10/-5 which gives you a positive 2. it would be the same if you went up 10 from (1,-4) and then 5 right to reach (6,6).

Answer:

b) y=sqrt(x) shifted 3 units left

Step-by-step explanation:

3rd line in the attached table:

f(x+3) = sqrt(x+3) horizontal translation left 3 units

Answer:

3/5

Step-by-step explanation:

Remember that odds for plus odds against must be 1. Therefore, 20 out of 50 of the DVRs are defective, so 30 out of 50 would work.

30/50

simplifies into 3/5 so that would be the probability of you picking out a DVR that works, and the probability of picking one that does not work would be the leftover 2/5 . Or, if you're answering with a percent, you would have a 60% chance of picking a working DVR.

I hope this helps, I know the explanation isn't really clear, but I can't really think of another way to explain it.

Answer:

y = 8

Step-by-step explanation:

First, we know that the equation for standard deviation is

σ = √((1/N)∑(xₐ-μ)²), with σ being the standard deviation, N being the count of numbers, xₐ being individual values, and μ being the mean. Working backwards, we have

0 = √((1/N)∑(xₐ-μ)²)

Squaring both sides, we get

0 = (1/N)∑(xₐ-μ)²

Since 1/N cannot be 0, we know that

0 = ∑(xₐ-μ)²

Since (xₐ-μ)² can only be ≥0, this means that each value of xₐ-μ must be equal to 0, so

0 = xₐ-μ for each a

xₐ = μ

This leads to the conclusion that each value is equal to the mean, so the mean must be 8.

The mean is equal to the sum / amount of numbers. There are 6 numbers, and the sum is (40+y). The mean is

8 = (40+y)/6

multiply both sides by 6

6*8 = 40+y

48 = 40 + y

This means that

y = 8

Answer:

4

Step-by-step explanation:

[tex] \frac{p - 1}{p} = 4[/tex]

Solve for p.

The numerator. difference has to be 4 times the answer of the denomiator.

So we can say

[tex]p - 1 = 4p[/tex]

Solve for p

[tex] - 1 = 3p[/tex]

[tex]p = - \frac{1}{3} [/tex]

Now plug this in for the other formula.

[tex]( \frac{ - \frac{1}{3} +1}{ \frac{1}{3} } ) {}^{2} = 2 {}^{2} = 4[/tex]

So