1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Crank
3 years ago
7

In simplifying square root radicals, write the radicand as a product of the factor and another factor.

Mathematics
1 answer:
alexdok [17]3 years ago
4 0

Answer:

An example is the following:  \sqrt{45}

Step-by-step explanation:

Simplify the radical: \sqrt{45}

1.We must write the radicand as a product, and then we must use the product property for simplicity.

The roof of \sqrt{45 is equal =\sqrt{9 x 5}

2.We must use the property of the product: \sqrt {a}  x \sqrt{b}

\sqrt{9x 5}=\sqrt{9} x\sqrt{5}

3\sqrt{5}

You might be interested in
Shelia's measured glucose level one hour after a sugary drink varies according to the normal distribution with μ = 117 mg/dl and
TiliK225 [7]

Answer:

The level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L is L = 127.1 mg/dl.

Step-by-step explanation:

To solve this problem, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 117, \sigma = 10.6, n = 6, s = \frac{10.6}{\sqrt{6}} = 4.33

What is the level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L ?

This is the value of X when Z has a pvalue of 1-0.01 = 0.99. So X when Z = 2.33.

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

2.33 = \frac{X - 117}{4.33}

X - 117 = 2.33*4.33

X = 127.1

The level L such that there is probability only 0.01 that the mean glucose level of 6 test results falls above L is L = 127.1 mg/dl.

6 0
3 years ago
How to convert 2 years 4 months to years
Reptile [31]

Answer:

2 1/3 years

Step-by-step explanation:

4 months = 1/3 years

2 + 1/3 = 2 1/3 years

8 0
3 years ago
Read 2 more answers
What is the answer to this
ICE Princess25 [194]

2. -28

5. -60

8. -135

The answers are above. :)

7 0
3 years ago
What is the slope of the line that passes through (-6,1) and (2,5)?
kow [346]
Slope is simply rise/run.
or
(vertical shift)/(horizontal shift)
therefore, the x value went from -6 to 2 which means it vertically shifted by 8.
and the y value went from 1 to 5, which means it horizontally shifted by 4.
the slope is 8/4.
or 2.
8 0
3 years ago
Read 2 more answers
A term account earns 3.6%, compounded daily for 3 years. If the amount is $8411.02 at the end of the 3 year period, what was the
ValentinkaMS [17]

Answer:

7550

Step-by-step explanation:

AV=PV(1+\frac{i}{n} )^{nt}\\8411.02=PV(1+\frac{.036}{365})^{365*3}\\8411.02= PV*1.114\\PV= 7550

5 0
3 years ago
Other questions:
  • Determine the number of solutions for the equation: -6(24x+18)=43(5+5x).
    13·2 answers
  • Line segment TS is tangent to circle O at point N.  If the measure of QNT  is 74°, what is the measure of QPN?
    14·2 answers
  • Find the area of the parallelogram shown below.
    10·1 answer
  • Write 27 as a product of primes.<br> Use index notation where appropriate.
    6·2 answers
  • The equation 9(u – 2) + 1.5u = 8.25 models the total miles Michael traveled one afternoon while sledding, where u equals the num
    7·2 answers
  • Which of the following are measures of complementary angles?
    15·1 answer
  • What is equivalent to 45/75?
    11·2 answers
  • Is the value of (1.7 x 104) x (2.1 x 10-8) greater than 1 or
    6·1 answer
  • Write the grammatical sentence as an algebraic one: Nine less than half a number is twenty-four. ​
    12·1 answer
  • Help please!!!!!!!!!!!!!!!!!!!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!