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3 years ago

" X is at most 3" can be represented by x ≤ 3. True or False

Mathematics

2 answers:

nika2105 [10]3 years ago

6 0

Answer:

false

Step-by-step explanation:

it is greater than or equal to. it wont be 3. but can be 3.000001

choli [55]3 years ago

3 0

Answer:

true

Step-by-step explanation:

lass than or equal to 3, which means 3 would be the highest it could go.

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A technician is installing two bundles of cables for an online system. Bundle A is 1

Mila [183]

Answer:

Answer D: 8.7 cm

Step-by-step explanation:

First compare the actual diameters of both cables to find out which one is larger. If we write both diameters in fraction form (as they are given), we need to have them expressed with the same denominator for a straight forward comparison:

Bundle A: $1\frac{3}{8} =1+\frac{3}{8} = \frac{8}{8} +\frac{3}{8} =\frac{11}{8}$

Bundle B: $2\frac{3}{4} =2+\frac{3}{4}=\frac{8}{4} +\frac{3}{4}=\frac{11}{4}$

So we multiply this last fraction by 2 in numerator and denominator to obtain the same denominator as for Bundle A without actually changing its numerical value: $\frac{11}{4} = \frac{22}{8}$

So now we compare Bundle A with bundle B, and see that bundle B has the larger diameter: 22/8 inches

The hole has to be 25% larger than this larger diameter, so we estimate 25% of 22/8 in is:

$\frac{22}{8} * \frac{25}{100} = 0.6875$ inches

Therefore, the hole must be of diameter 22/8 in plus 0.6875 in = 3.4375 in

Now we convert this value into centimeters by multiplying it by 2.54 (since one inch is 2.54 cm):

3.4375 * 2.54 = 8.73125 cm

which rounded to the nearest tenth as requested in the problem is: 8.7 cm

8 0

4 years ago

A man that is 6 feet tall weighs 165 pounds. Use this information to predict the weight of a man that is 5

Zarrin [17]

Answer:

151 pounds

Step-by-step explanation:

7 0

3 years ago

This problem has been solved!See the answerA municipal bond service has three rating categories (A, B, and C). Suppose that in t

mariarad [96]

Answer:

a. $\frac{35}{51}$

b. $\frac{51}{100}$

c. $\frac{1}{5}$

Step-by-step explanation:

Suppose cities represented by C', suburbs represented by S and rural represented by R,

Let x be the total number of bonds issued throughout the US,

According to the question,

n(A) = 70% of x = 0.7x,

n(B) = 10% of x = 0.1x,

n(C) = 20% of x = 0.2x,

n(A∩C') = 50% of n(A) = 0.5 × 0.7x = 0.35x,

n(A∩S) = 20% of n(A) = 0.2 × 0.7x = 0.14x,

n(A∩R) = 30% of n(A) = 0.3 × 0.7x = 0.21x,

n(B∩C') = 40% of n(B) = 0.4 × 0.1x = 0.04x,

n(B∩S) = 30% of n(B) = 0.3 × 0.1x = 0.03x,

n(B∩R) = 30% of n(B) = 0.3 × 0.1x = 0.03x,

n(C∩C') = 60% of n(C) = 0.6 × 0.2x = 0.12x,

n(C∩S) = 15% of n(C) = 0.15 × 0.2x = 0.03x,

n(C∩R) = 25% of n(C) = 0.25 × 0.2x = 0.05x,

n(C') = n(A∩C') + n(B∩C') + n(C∩C') = 0.35x + 0.04x + 0.12x = 0.51x

n(S) = n(A∩S) + n(B∩S) + n(C∩S) = 0.14x + 0.03x + 0.03x = 0.20x

a. The probability that it will receive an A rating, if a new municipal bond is to be issued by a city,

$P(\frac{A}{C'})=\frac{P(A\cap C')}{P(C')}=\frac{0.35x/x}{0.51x/x}=\frac{0.35}{0.51}=\frac{35}{51}$

b. The proportion of municipal bonds are issued by cities = $\frac{n(C')}{x}$

$=\frac{0.51x}{x}$

$=\frac{51}{100}$

c. The proportion of municipal bonds are issued by suburbs = $\frac{n(S)}{x}$

$=\frac{0.20x}{x}$

$=\frac{20}{100}$

$=\frac{1}{5}$

3 0

3 years ago

ALGEBRA 1, SEMESTER 2

SIZIF [17.4K]

So firstly, we have to find f(x) when x = 8 and x = 0. Plug the two numbers into the x variable of the function to solve for their f(x):

$f(0)=\frac{2*0+3}{3*0-3}\\ f(0)=\frac{0+3}{0-3}\\ f(0)=\frac{3}{-3}\\ f(0)=-1\\ \\ f(8)=\frac{2*8+3}{3*8-3}\\ f(8)=\frac{16+3}{24-3}\\ f(8)=\frac{19}{21}$

Now that we have their y's, we can use the slope, aka average rate of change, formula, which is $\frac{y_2-y_1}{x_2-x_1}$ . Using what we have, we can solve it as such:

$\frac{\frac{19}{21}-(-1)}{8-0}=\frac{\frac{40}{21}}{8}=\frac{40}{21*8}=\frac{40}{168}=\frac{5}{21}$

In short, the average rate of change from x = 0 to x = 8 is 5/21.

8 0

3 years ago

Your teacher buys a 5 pound bad of Smarties, for $12.50. What is the unit rate for Smarties.

Taya2010 [7]

So 5 pounds=12.5
divide 12.5 by 5 to get dollars per pound
$2.5 per pouind

4 0

4 years ago

Read 2 more answers