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3 years ago

Simplify C^5 x c Plz can someone figure it out cuz I don’t get it

Mathematics

2 answers:

Fofino [41]3 years ago

5 0

Answer:

c^6

Step-by-step explanation:

So, c is the same as c^ 1 ... therefore

c^5 x c

= c^5 x c^1

When we multiply two numbers with same base and different exponent, we add the exponents which in this case as 5 and 1

So c^5 x c^1

= c^(5+1)

= c^6

This is the simplest form

spin [16.1K]3 years ago

4 0

Answer: c⁶

<u>Step-by-step explanation:</u>

Notes: A variable without a given exponent has an "invisible" exponent of 1.

When multiplying two values with the same base, add the exponents.

$\bold{c^5 \times c\qquad \rightarrow \quad c^5 \times c^1\quad =\quad c^{5+1}\quad = \large\boxed{c^6}}$

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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.11 millimeters and a standard deviat

____ [38]

Answer:

The diameter that separates the bottom 9% is 5.02 millimeters.

The diameter that separates the top 9% is 5.2 millimeters.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.

This means that $\mu = 5.11, \sigma = 0.07$

Bottom 9%:

The 9th percentile, which is X when Z has a pvalue of 0.09. So X when Z = -1.34.

$Z = \frac{X - \mu}{\sigma}$

$-1.34 = \frac{X - 5.11}{0.07}$

$X - 5.11 = -1.34*0.07$

$X = 5.02$

The diameter that separates the bottom 9% is 5.02 millimeters.

Top 9%:

The 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91. So X when Z = 1.34.

$Z = \frac{X - \mu}{\sigma}$

$1.34 = \frac{X - 5.11}{0.07}$

$X - 5.11 = 1.34*0.07$

$X = 5.2$

The diameter that separates the top 9% is 5.2 millimeters.

6 0

2 years ago

HELP PLEASE!!!!!!!!!!!

Alona [7]

Answer:

Step-by-step explanation:

Step-by-step explanation:

The volume of a cylinder = πr²h

= 33 cubic inches

The volume of a cone = ¹/3 πr²h

If the cylinder and come share the same radius and height then ‘πr²h’ part of the formulas is the same for both;

It means the difference in proportionality is ¹/3 (because even π is the same across board). The volume of the cone is therefore;

¹/3 (33)

= 11

= 11 cubic inches

Hope this helps!

6 0

2 years ago

What is the value of x in this triangle?

gizmo_the_mogwai [7]

Answer:

x = 33.49°

Step-by-step explanation:

The relevant trig ratio is the sine:

Sin = Opposite/Hypotenuse

siin(x) = 32/58

The angle measure is found using the inverse function:

x = arcsin(32/58) ≈ 33.49°

8 0

2 years ago

What is the yintercept of f(x) =(1/2)^x<br> ?

Anestetic [448]

$\text{Find the y-intercept:}\\\\\text{To fidn the y-intercept, we would have to plug in 0 to x. Since the y-intercept}\\\text{exists whenever x is equal to 0}\\\\\text{Solve:}\\\\f(x)=(\frac{1}{2})^0\\\\\text{We know that whenever the exponent is 0, it equals to 1}\\\\f(x)=1\\\\\text{Therefore, this makes the y-intercept 1.}\\\\\text{Answer is stated as a point on the graph}\\\\\boxed{(0,1)}$

4 0

2 years ago

The circumference of the circle is about ? Inches

stiv31 [10]

Answer:

18.84 inches

Step-by-step explanation:

The circumference is given by

C = pi d where d is the diameter

C = 3.14 *6

C = 18.84

3 0

2 years ago