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2 years ago

In the equation x/35 = 7, what is the value of x? A. 35 B. 245 C. 7 D. 5

1 answer:

8 0

The equation given in the question has one unknown variable in the ofrm of "x" and there is also a single equation. So it can be definitely pointed out that the exact value of the unknown variable "x" can be easily determined. Now let us focus on the equation given in the question.
x/35 = 7
x = 35 * 7
x = 245
So we can find from the above deduction that the value of the unknown variable "x" is 245. The correct option among all the options given in the question is option "B". I hope the procedure is not complicated for you to clearly understand.

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Making handcrafted pottery usually takes two major steps:wheel throwing and firing. The time of wheel throwing and thetime of fi

levacccp [35]

Answer:

a) $P(R$

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

$P(z$

b) $P(R>110)=P(\frac{R-\mu}{\sigma}>\frac{110-\mu}{\sigma})=P(Z>\frac{110-100}{3.606})=P(Z>2.774)$

And we can find this probability using the complement rule and the normal standard table or excel and we got:

$P(z>2.774)=1-P(Z$

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 time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:

$R \sim N(40+60 = 100,\sqrt{2^2 +3^2}= 3.606 s)$

Where $\mu=65.5$ and $\sigma=2.6$

We are interested on this probability

$P(R$

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

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

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

$P(R$

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

$P(z$

Part b

$P(R>110)=P(\frac{R-\mu}{\sigma}>\frac{110-\mu}{\sigma})=P(Z>\frac{110-100}{3.606})=P(Z>2.774)$

And we can find this probability using the complement rule and the normal standard table or excel and we got:

$P(z>2.774)=1-P(Z$

8 0

2 years ago

Read 2 more answers

there are 20 children at a library 6 of the children have an average age of five years the remaining children have an average ag

Gelneren [198K]

20 total

6 have average of 5 years
6 x 5 = 30

20-6 = 14

14 have average of 8 years

14 x 8 = 112

112 + 30 = 142

142 / 20 = 7.1 years

8 0

2 years ago

Read 2 more answers

What is the formula for the area of a triangle?

SashulF [63]

The formula to find the area of a triangle is :

1/2 base*height

For instance:

base=4 cm

height=5cm

area of traingle=1/2*b*h

 =1/2*4*5

 =10cm^2

Hope it helps...

Good luck on your assignment

6 0

2 years ago

What assumption have you made in answering part b

emmasim [6.3K]

You're assuming that this data set represents all of Mrs. Hassaan's pupils. Certain students could be missing from the histogram - for instance, there could be one or two students who missed the test, but for certain reasons will be taking a make-up exam. Their grade would not be recording in this data set, but they still contribute to the class size, and so would be unaccounted for here.

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2 years ago

For which of the following sets of data should a stacked bar chart be used? A. The average height of men vs. the average height

Kobotan [32]

Answer:

C. The total number of movies watched categorized by science fiction vs. non-science fiction

Step-by-step explanation:

A stacked bar chart is a type of graph that is mostly used to simplify multiple parts and compare them as a whole.

It uses different "bars" and each bar represents one part of the whole and segments of that bar show the different parts or categories of the whole.

Consider option A

In this option, the total average height of men and women cannot be considered as a whole. Therefore, the stacked chart cannot be used.

Consider option B

In this option, the totak number of red cars and bicycles cannot be considered as a whole because cars and bicycles are two different kinds of sets.

Consider option C

Here, the total number of movies watched categorized by science fiction and non-science fiction can be considered a whole because science and non-science fiction movies are the same sets of data and they add up to the total number of movies.

Hence, a stacked graph is appropriate here.

Option C is the correct answer

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2 years ago