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3 years ago

100

Mathematics

1 answer:

disa [49]3 years ago

8 0

Answer:

Distance of ladder top from ground = 9.2 meter (Approx.)

Step-by-step explanation:

Given:

Angle of elevation between ground and ladder = 43°

Length of ladder = 13.5 meter

Find:

Distance of ladder top from ground

Computation:

Length of ladder = Hypotenuse

Distance of ladder top from ground = Perpendicular

Sinθ = Perpendicular / Hypotenuse

Sin 43 = Distance of ladder top from ground / Length of ladder

0.6819 = Distance of ladder top from ground / 13.5

Distance of ladder top from ground = 9.20565

Distance of ladder top from ground = 9.2 meter (Approx.)

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The number of patients treated at Dr. McCormick’s dentist office each day was recorded for nine days. These are the data: 13, 16

NARA [144]

First, lets sort the list from smallest to greatest. This will help with median, mode, and range.

4, 6, 10, 12, 12, 13, 16, 16, 16

Next, lets find the mean. Mean is found by adding all numbers up, then dividing them by the number of entries in the data set.

$4+6+10+12+12+13+16+16+16 = 105$
$105 / 9 = 11.7$

So the mean is 11.7.

Next, we'll find the median. The median is the value in the center of the list. Because there are 9 values, that means the center of the list is 5 with four numbers on each side of it. The 5th number in the list is 12, so that's our median.

Continuing, the mode is the number or numbers that appears the most often. For this data set, 16 appears 3 times while all other numbers appear 2 times or less. So, the mode is 16.

Lastly, the range is the difference between the largest number and the smallest number.

$16 - 4 = 12$

So the range is 12.

The second answer in the list matches all of these values, and is the correct solution.

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3 years ago

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Simplify: x^d • x ^18

natta225 [31]

Answer:

x^(d+18)

Step-by-step explanation:

using the law of indices

you must add the powers

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3 years ago

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The ideal width of a certain conveyor belt for a manufacturing plant is 50 in. an actual conveyor belt can vary from the ideal b

Nastasia [14]

50 + 7/32 = 50 7/32
50 - 7/32 = 49 25/32

answers are :
c.) 49 25/32 < = x < = 50 7/32
e.) |x - 50| < = 7/32

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3 years ago

20 units Humulin R insulin in 100 mL of normal saline (NS) to infuse for 20 hours. (Round to the nearest tenth if applicable) a.

wariber [46]

Answer:

a) 1 unit per hour will be infused.

b) 5mL per hour will be infused.

Step-by-step explanation:

Each question can be solved as a rule of three with direct measures, that means we have a cross multiplication.

a. How many units per hour will be infused?

20 units are going to be infused in 20 hours. How many units are going to be infused each hour?

1 hour - x units

20 hours - 20 units

$20x = 20$

$x = \frac{20}{20}$

$x = 1$

1 unit per hour will be infused.

b. How many milliliters per hour will be infused?

100mL are going to be infused in 20 hours. How many mL are going to be infused each hour?

1 hour - x mL

20 hours - 100 mL

$20x = 100$

$x = \frac{100}{20}$

$x = 5$

5mL per hour will be infused.

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3 years ago

An online poll has a question that appears on the screen, and you simply click buttons to vote "Yes, " "No, " "Not sure, " or "D

Nataly_w [17]

Complete Question

An online poll has a question that appears on the screen, and you simply click buttons to vote "Yes, " "No, " "Not sure, " or "Don't care." On a particular day, the results of a question were tallied. In all, 636 said "Yes, " another 595 said "No, " and the remaining 93 indicated that they were not sure.

What is the sample size for this poll?

Compute the percent of responses in each of the possible response categories. (Round your answers to two decimal places.)

Discuss the poll in terms of the population and sample framework that we have studied in this chapter.

This random sample of responses collects the opinions of a random group of users across all users of the Internet.

ii)

This voluntary response sample collects only the opinions of those that visit this site every day.

iii)

This random sample of responses collects the opinions of a random group of users of the particular site.

iv)

This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.

Answer:

$n = 1324$

YES $y = 48.03 \%$

NO $m =44.94 \%$

NOT SURE $m =7.02\%$

The correct option is (iv)

Step-by-step explanation:

From the question we are told that

The voting options are "Yes, " "No, " "Not sure, " or "Don't care."

The number of people that said is $Y = 636$

The number of people that said No is $N = 595$

The number that indicated Not sure is $S = 93$

Generally the sample size is mathematically represented as

$n = Y + N + S$

=> $n = 636 + 595 + 93$

=> $n = 1324$

Generally the percentage of responses that was Yes is mathematically represented as

$y = \frac{636}{ 1324} * 100$

=> $y = 48.03 \%$

Generally the percentage of responses that was No is mathematically represented as

$m = \frac{595}{ 1324} * 100$

$m =44.94 \%$

Generally the percentage of responses that was Not sure is mathematically represented as

$s = \frac{93}{ 1324} * 100$

$m =7.02\%$

This voluntary response sample collects only the opinions of those who visit this site and feel strongly enough to respond.

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3 years ago