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2 years ago

Which of the following statements is true?

Mathematics

1 answer:

Arada [10]2 years ago

5 0

Answer:

its c i tink but im not completly sure

Step-by-step explanation:

You might be interested in

How many is? with procedure and testing PLEASE -4x + 13 = 6x - 7

slamgirl [31]

To solve for X you must get x by itself so let's get started
-4x+13=6x-7
subtract 13 from both sides
-4x=6x-20
subtract 6x from both sides
-10x=-20
divide both sides by -10
x=2

to check if this is correct plug in x into original equation
-4 (2)+13=6 (2)-7
-8+13=12-7
5=5
answer x=2 holds true :)

6 0

2 years ago

Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally

sasho [114]

Answer:

a) $P(X$

$P(z$

b) $P(X>7.0)=P(\frac{X-\mu}{\sigma}>\frac{7-\mu}{\sigma})=P(Z1.47)$

$P(z>1.47)=1-P(z$

c) $P(3$

$P(-0.882$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the thickness of a population, and for this case we know the distribution for X is given by:

$X \sim N(4.5,1.7)$

Where $\mu=4.5$ and $\sigma=1.7$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using excel or the normal standard table:

$P(z$

Part b

We are interested on this probability

$P(X>3.0)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>7.0)=P(\frac{X-\mu}{\sigma}>\frac{7-\mu}{\sigma})=P(Z1.47)$

And we can find this probability using excel or the normal standard table:

$P(z>1.47)=1-P(z$

Part c

$P(3$

And we can find this probability using excel or the normal standard table liek this:

$P(-0.882$

3 0

2 years ago

11x+4y=-46 7x-4y=10 Find x and y

UNO [17]

Answer:x=-2 y=-6

Step-by-step explanation:

11x+4y=-46..........(1)

7x-4y=10..............(11)

Add (1) and (11)

11x+7x+4y-4y=-46+10

18x=-36

Divide both sides by 18

18x/18=-36/18

x=-2

substitute x=-2 in (11)

7x-4y=10

7(-2)-4y=10

-14-4y=10

Collect like terms

4y=-14-10

4y=-24

Divide both sides by 4

4y/4=-24/4

y=-6

3 0

2 years ago

Samantha rectangular gift is 10 inches. by 12 inches and is framed with a ribbon. She wants to use the same lengths of ribbon to

vitfil [10]

Answer:

The dimension of the rectangular gift is 10 by 12 inches so let us find the perimeter of this rectangle.

Perimeter of rectangular gift = 2 (L+ W) = 2 (10 +12) = 44 inches

Since we are to use the same length of ribbon to wrap a circular clock so the perimeter or circumference of the clock should be no more than 44 inches.

2πr = 44

r = 44/2π

r = 7.003

Therefore, the maximum radius of the circular clock is 7 inches.

6 0

2 years ago

What is the area of the circle with a radius 2 Pls I need this ASAP

babymother [125]

Answer:

12.57

Step-by-step explanation:

5 0

3 years ago