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belka [17]
3 years ago
10

A store has 300 televisions on order, and 80% are high definition, How many televisions on order are high definition? What is th

e The proportion

Mathematics
2 answers:
Simora [160]3 years ago
7 0

Easier answer:

You explained it well but to solve all these easily just take 300 times .8 That works for every problem.

Sonbull [250]3 years ago
6 0

Answer: 240

Step-by-step explanation: 300/10% = 30  

30+30 = 60 = 20%    

300 - 20% = 240 = 80%

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If the second term of a geometric sequence of real numbers is -2 and the fifth term is 16 then what is the fourteenth term?
Agata [3.3K]
<h3>Given</h3>

A geometric sequence such that ...

a_2=-2\quad\text{and}\quad a_5=16

<h3>Find</h3>

a_{14}

<h3>Solution</h3>

We can use the ratio of the given terms to find the common ratio of the sequence, then use that to find the desired term from one of the given terms. We don't actually need the common ratio (-2). All we need is its cube (-8).

a_2=a_1r^{(2-1)}=a_1r^1\\a_5=a_1r^{(5-1)}=a_1r^4\\a_{14}=a_1r^{(14-1)}=a_1r^13=a_5r^9\\\\\dfrac{a_5}{a_2}=\dfrac{a_1r^4}{a_1r^1}=r^3=\dfrac{16}{-2}=-8\\\\r^9=\left(r^3\right)^3=(-8)^3=-512\\a_{14}=a_5(-512)\\\\a_{14}=-8192

7 0
3 years ago
Factor completely. 12x4+18x3+45x2 Enter your answer in the box.
lukranit [14]

QUESTION 1

The given expression is

12x^4+18x^3+45x^2

The greatest common factor is 3x^2.

We factor to obtain;

3x^2(4x^2+6x+15)

QUESTION 2

The given quadratic equation is

x^2+6x-72=0

We split the middle term to obtain

x^2+12x-6x-72=0

Factor by grouping;

x(x+12)-6(x+12)=0

(x+12)(x-6)=0

Use zero product property;

(x+12)=0\:\:or\:\:(x-6)=0

x=-12\:\:or\:\:x=6

QUESTION 3

The given system of equation is

3x+4y=-8

7x-3y=6

If we multiply 3x+4y=-8 by 3, we obtain;

9x+12y=-24

If we multiply 7x-3y=6 by 4 we obtain;

28x-12y=24

Adding the last two equations will give us;

37x=0

The y-variable is eliminated.

Answer:Multiply 3x+4y=−8

by 3. Multiply 7x−3y=6 by 4. Add the resulting equations together.

6 0
3 years ago
What is the radius of the circle using the equation below?
slava [35]

Answer:

the radius is 5 cubic meters

7 0
3 years ago
The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviati
Effectus [21]

Answer:

His jump was of 272.45 inches

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 263, \sigma = 14

75th percentile

X when Z has a pvalue of 0.75. So X when Z = 0.675

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

0.675 = \frac{X - 263}{14}

X - 263 = 14*0.675

X = 272.45

His jump was of 272.45 inches

7 0
2 years ago
Read 2 more answers
NOTE: Angles not necessarily drawn to scale.
Alina [70]

Answer:

x = 56°

Step-by-step explanation:

DAF is a straight line so it has a measurement of 180°

180° - 64° - 60° = x

x = 56°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

7 0
2 years ago
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