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PIT_PIT [208]
3 years ago
9

Solve. 4x =16I'm assuming solve for X but ^ that is all the question says​

Mathematics
2 answers:
egoroff_w [7]3 years ago
7 0

Answer:

x = 4

Step-by-step explanation:

4x = 16

divide both sides by 4:

⇒ \frac{4x}{4} = \frac{16}{4}

⇒ x = 4

laila [671]3 years ago
5 0

Answer:

<h2>A. x = 4</h2>

Step-by-step explanation:

4x = 16

x = 16 / 4

x = 4

Hope that helps!

You might be interested in
You ask a neighbor to water a sickly plant while you are on vacation. Without water the plant will die with probability 0.7. Wit
Lina20 [59]

Answer:

0.2416

Step-by-step explanation:

P(forgot to water | dead) = P(forgot and dead) / P(dead)  

->With water it will die with probability 0.45

P(watered and dead) =0.83 x 0.45 = 0.3735

->Without water the plant will die with probability 0.7

P(forgot and dead) = (1-0.83) x 0.7 => 0.17 x 0.7 =>0.119

P(dead) =  P(watered and dead) +P(forgot and dead)

P(dead) = 0.3735 + 0.119= 0.4925

P(forgot to water | dead) =0.119 / 0.4925= 0.2416

Therefore, the probability the neighbor forgot to water the plant is 0.2416

8 0
3 years ago
Daphne has a preloaded games card that she is using to play games at the arcade as shown in the table.
Lubov Fominskaja [6]

Answer:

she starts with $25

every three games she spends $1.50 (.50 per game)

Step-by-step explanation:

i mean i cant really explain it, its kinda self explanatory

6 0
3 years ago
Question 6 (2 points)
irinina [24]

to inverse a equation make all y's x and andy x's y

Thus the inverse is

x=4y-8

Evaluated to

4y=x+8

y=

3 0
3 years ago
A grinding wheel manufacturer designed a new grinding wheel. Repeated tests were conducted on wheels of approximately the same w
sergejj [24]

Answer:

a) a=225 +0.674*16.5=236.121

So the value of height that separates the bottom 75% of data from the top 25% is 236.121.  

b) P(X \geq 3) = 1-P(X

c) P(\bar X \geq 225)=1- P(\bar X

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".  

2) Part a

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

X \sim N(225,16.5)  

Where \mu=225 and \sigma=16.5

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.25   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.674=\frac{a-225}{16.5}

And if we solve for a we got

a=225 +0.674*16.5=236.121

So the value of height that separates the bottom 75% of data from the top 25% is 236.121.  

Part b

For this case we know that the individual probability of select one wheel with a cutting rate higher than the calculated value in part a is 0.25, and we select n =10 so then we can use the binomial distribution for this case:

X\sim Bin(n=10, p=0.25)

And we want this probability:

P(X \geq 3) = 1-P(X

We can find the individual probabilities like this:

P(X=0)=(10C0)(0.25)^0 (1-0.25)^{10-0}=0.0563

P(X=1)=(10C1)(0.25)^1 (1-0.25)^{10-1}=0.1877

P(X=2)=(10C2)(0.25)^2 (1-0.25)^{10-2}=0.2816

P(X \geq 3) = 1-P(X

Part c

For this case we know that the distribution for the sample mean is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want this probability:

P(\bar X \geq 225)

And for this case we can use the complement rule and the z score given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And if we replace we got:

P(\bar X \geq 225)=1- P(\bar X

4 0
3 years ago
Determine the intercepts of the line.
Lilit [14]

Answer:

(-7.5, 0) x intercept

(0, 5.5) y intercept

Step-by-step explanation:

The x intercept is where it crosses the x axis

It crosses at (-7.5, 0)

The y intercept is where it crosses the y axis

It crosses at (0, 5.5)

5 0
3 years ago
Read 2 more answers
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