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4 years ago

Find the distance between (1, 4) and (3, 9). Round the answer to the nearest hundredth.

1 answer:

6 0

To calculate the distance between these two points, we use the Pythagorean theorem since the two points can form a right triangle when plotted where the hypotenuse would be the distance between these two. We do as follows:

d = √[(x2-x1)^2 + (y2-y1)^2]
d = √[(3-1)^2 + (9-4)^2]
d = √29 = 5.39 units

The correct answer is A.

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The assembly line that produces an electronic component of a missile system has historically resulted in a 2% defectiverate. a r

sattari [20]

Defective rate can be expected to keep an eye on a Poisson distribution. Mean is equal to 800(0.02) = 16, Variance is 16, and so standard deviation is 4.
X = 800(0.04) = 32, Using normal approximation of the Poisson distribution Z1 = (32-16)/4 = 4.
P(greater than 4%) = P(Z>4) = 1 – 0.999968 = 0.000032, which implies that having such a defective rate is extremely unlikely.

If the defective rate in the random sample is 4 percent then it is very likely that the assembly line produces more than 2% defective rate now.

3 0

3 years ago

If m = 5 and n = -2, evaluate 3m - 4n and n2 - m and find the product of the two expressions.

ddd [48]

Hence the correct answer is C) -23

Further explanation:

We have to put the values of m and n into both expression first separately and then multiply the answers.

Given expressions are:

$Exp\ 1:3m-4n\\Exp\ 2: n^2-m$

The values are:

$m=5\\n=-2$

Putting the values in expression 1:

$3m-4n\\=3(5)-4(-2)\\=15+8\\=23$

Putting the values of m and n in second expression

$n^2-m\\=(-2)^2-5\\=4-5\\=-1$

Multiplying both expressions:

$(3m-4n)(n^2-m)=23* (-1)=-23$

Hence the correct answer is C) -23

Keywords: Polynomials, Putting values in expressions

Learn more about polynomials at:

#LearnwithBrainly

8 0

3 years ago

My teacher gave us a question, if we figure it out we get a bonus on our grades! I WILL GIVE 100 points!

Marta_Voda [28]

Because if you put a two on one side and put the inverted version of 2, then join them on their lines, it forms a fish. I have more of those types of questions:

1+1=田 2+2=fish 3+3=8 4+4=↑ 5+5=cylinder 6+6=headset 7+7=▼ 8+8=butterfly 9+9=cup 0+0=0

6 0

4 years ago

Read 2 more answers

A report by the US Geological Survey indicates that glaciers in Glacier National Park, Montana, are shrinking. Recent estimates

postnew [5]

Answer

a) C

b) B

c) C, E

d) 15.5

e) 0.7

f) 67.7

Step-by-step explanation

a) A linear equation can be written as $y=mx+c$ where $m$ is the slope and $c$ is the intercept on the $y$ -axis. The slope describes how $y$ changes when $x$ changes. A negative value means the it is a decreasing change. In our case, $y$ is $A$ and $x$ is $t$ . Thus, the slope of the equation is $m=-0.062$ . This means that the area of glacier is decreasing by $0.062 \text{km}{}^2 = 62000 \text{m}{}^2$ every year since 2000.

b) The $A$ -intercept (= 16.2 $\text{km}{}^2$ ) represents the area covered when $t=0$ . But $t=0$ starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2 $\text{km}{}^2$ .

c) $A=f(t)$ means the area covered after year 2000. Setting it to 12 means the area covered after $t$ years is 12 $\text{km}{}^2$ ). $t$ is therefore the number of years since 2000 that the total area covered will be 12 $\text{km}{}^2$ ).

d) $f(12)=16.2−0.062\times12 =16.2-0.744 = =15.456 15.5 \text{km}{}^2$ to 1 decimal place.

e) The term involving $t$ represents the disappearing area. In 12 years, the disappeared area is $0.062\times12=0.744 =0.7 \text{km}{}^2$ to 1 decimal place.