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3 years ago

a store has 300 televisions on order, and 80% are high definition. how many televisions on order are HD?

Mathematics

2 answers:

Korolek [52]3 years ago

8 0

240 Televisions are on HD.

Dafna1 [17]3 years ago

5 0

Answer: The number of televisions on order are HD = 240

Step-by-step explanation:

Given : The number of televisions on order= 300

The percentage of televisions orders are high definition = 80%

i..e The proportion of televisions orders are high definition = 0.80 [ we divide percentage by 100 to convert into decimal]

Now , the number of televisions on order are HD = (Total televisions) x (proportion of televisions are high definition)

=(300) x (0.80)

=240

Hence, the number of televisions on order are HD = 240

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Step-by-step explanation:

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3 years ago

5. Based on recent results, scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312.

Mekhanik [1.2K]

Answer:

The actual SAT score is 2024.

The equivalent ACT score is 29.49.

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.

SAT score that is in the 95th percentile

Scores on the SAT test are normally distributed with a mean of 1511 and a standard deviation of 312, which means that $\mu = 1511, \sigma = 312$

95th percentile is X when Z has a pvalue of 0.95, so X when Z = 1.645. The score is:

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

$1.645 = \frac{X - 1511}{312}$

$X - 1511 = 1.645*312$

$X = 2024$

The actual SAT score is 2024.

Equivalent ACT score:

The equivalent ACT score is the 95th percentile of ACT scores.

Scores on the ACT test are normally distributed with a mean of 21.1 and a standard deviation of 5.1, which means that $\mu = 21.1, \sigma = 5.1$ . So

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

$1.645 = \frac{X - 21.1}{5.1}$

$X - 21.1 = 1.645*5.1$

$X = 29.49$

The equivalent ACT score is 29.49.

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2 years ago

What is 2logx−logy+2logz written as a single logarithm? log(xz)^2/y log2x/2yz logx^2y/z^2 logx^2/yz^2

Klio2033 [76]

Answer: $\log\dfrac{x^2z^2}{y}$

Step-by-step explanation:

Properties of logarithm:

$(i)\ \ n\log a = a^n\\\\ (ii)\ \ \log m +\log n =\log (mn)\\\\ (iii)\ \ \log m-\log n =\log\dfrac{m}{n}$

Consider,

$2\log x-\log y+2 \log z\\\\ =\log x^2-\log y+\log z^2\ \ \ \ \text{[By (i)]}\\\\= \log x^2+\log z^2-\log y\\\\=\log(x^2z^2)-\log y\ \ \ \ [\text{By } (ii) ]\\\\=\log(\dfrac{x^2z^2}{y}) \ \ \ \ [\text{By (iii)}]$

3 0

3 years ago

A square has a side of 6.25 feet. What is the area in square feet? Round to the correct significant digits. (2 points)

soldi70 [24.7K]

Answer:

A=39.06 Sq Ft

Step-by-step explanation:

We are given with a square which has a side of 6.25 feet. We are asked to determine the area in square feet and Round to the correct significant digits.

Area of square is given as

A= side x side

Side = 6.25 ft

A=6.25 x 6.25

A= 39.0625

Rounding it to the nearest hundredth place

A=39.06 sq ft

7 0

3 years ago

The highest common factor of 98 and 42

ohaa [14]

Answer:14

Step-by-step explanation:Start by writing like this below

98 =2×7×7

42 =2×3×7

H.C.F=2×7

=14

Take the number which is common like in 98 and 42, (2) and (7) are common

and then multiply the two numbers.

Hope it helps you!

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2 years ago

Read 2 more answers