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2 years ago

Write the expression using a single exponent.

Mathematics

2 answers:

Ipatiy [6.2K]2 years ago

6 0

Answer: D. 7^11

Reason:

The rule we use is $a^b*a^c = a^{b+c}$

When multiplying exponentials of the same base, we add the exponents.

The exponents 5 and 6 add to 5+6 = 11

So,

$7^5 \times 7^6 = 7^{5+6} = 7^{11}$

The base stays the same the entire time.

mina [271]2 years ago

5 0

Answer:
D. 7^11
Explanation:
When simplifying exponents you keep the base the same, and add the exponents.

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Mashcka [7]

Answer:

$P(X>400)=P(\frac{X-\mu}{\sigma}>\frac{400-\mu}{\sigma})=P(Z>\frac{400-440}{20})=P(z>-2)$

And we can find this probability using the complement rule:

$P(z>-2)=1-P(z$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(z>-2)=1-P(z$

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".

Solution to the problem

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

$X \sim N(440,20)$

Where $\mu=440$ and $\sigma=20$

We are interested on this probability

$P(X>440)$

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:

$P(X>400)=P(\frac{X-\mu}{\sigma}>\frac{400-\mu}{\sigma})=P(Z>\frac{400-440}{20})=P(z>-2)$

And we can find this probability using the complement rule:

$P(z>-2)=1-P(z$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(z>-2)=1-P(z$

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3 years ago

The medians of triangle XYZ intersect at Point P. If PY=12, what is VY?

AlekseyPX

Answer:

Step-by-step explanation:

PY = $\frac{2}{3}$ YV

$\frac{2}{3}$ YV = 12

VY = 18

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3 years ago

Prove x²+y² = (x+y) (x-y)

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Answer:

(x+y)(x-y)

x^2 - xy + xy - y^2

x^2 - y^2

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2 years ago

The sandbox at a local playground is shaped like a square. The length of one side of the sandbox is 8 ft. What is the area of th

leva [86]

Square's are equal on all sides so if one leg of the square is eight then the others are also and in order to find the area of a square you multiply the height by the width so 8^2 or eight squared is the expression. Your answer is the area is 64 ft^2 and the expression is : 8^2=64

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4 years ago

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swat32

Answer: the ANSWER IS 11 sqt

Step-by-step explanation:

Factor 1331 into its prime factors

1331 = 113

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

121 = 112

Factors which will remain inside the root are :

11 = 11

To complete the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

11 = 11

The simplified SQRT looks like this:

11 • sqrt (11)

Simplified Root :

11 • sqrt(11)

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3 years ago

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