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NeX
8 days ago
11

Allan is ordering a set of rational numbers that includes positive values, negative values, fractions, and decimal numbers. How

can he order them?
Mathematics
2 answers:
tester [3.9K]8 days ago
8 0
Sample Response:<span> Initially, Allan should convert the fractions into decimals by performing division of the numerator by the denominator. Following that, he can position the values on the number line. Observing the points plotted from left to right will display the values from smallest to largest.</span>
Inessa [3.9K]8 days ago
7 0
Arrange them starting from the smallest to the largest.
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The main span of Bridge A ​(2300 ​feet) is​ _____ percent shorter than the main span of Bridge B ​(4700 ​feet).
Svet_ta [4321]
To determine this answer, you need to calculate the percentage change.
This involves dividing the difference in lengths by the original length. We begin with the main bridge.

4700 - 2300 = 2400
2400 divided by 4700 equals approximately 51.1% shorter.
3 0
11 days ago
The time between failures for an electrical appliance is exponentially distributed with a mean of 25 months. What is the probabi
Inessa [3907]

Answer:

The likelihood that a failure will not take place within the next 30 months is 0.0454.

Step-by-step explanation:

We employ a Poisson distribution where:

t = time units

x = occurrences during t units

λ = average occurrences per unit of time

P(x;λt) = e raised to the power of (-λt) multiplied by λtˣ divided by x!

Here, λt equals 25.

x equals 30.

P(x= 30) = 25³⁰e⁻²⁵/ 30!

P (x= 30) = 8.67 E41 * 1.3887 E-11/30!    (where E signifies exponent)

P (x=30) = 1.204 E31/30!

Utilizing a statistical calculator will yield:

P (x=30) = 0.0454

The probability that the next failure will not occur prior to 30 months is 0.0454.

7 0
2 days ago
Given that Ray E B bisects ∠CEA, which statements must be true? Select three options. m∠CEA = 90° m∠CEF = m∠CEA + m∠BEF m∠CEB =
PIT_PIT [3919]

Answer:

mCEA = 90ᴼ, as CEA forms a right angle, and by definition, right angles measure 90ᴼ.

The angle CEF is classified as a straight angle as it combines two right angles (CEA and AEF), equating to 180ᴼ altogether. Straight lines are defined to measure 180ᴼ.

AEF is determined to be a right angle as CEA is already a right angle, and since CEF is a straight line, AEF must also be a right angle.

4 0
11 days ago
Read 2 more answers
Maggie is considering two investments. Investment A Investment B Principal $10,000 $8,000 Interest rate 3% 2.8% Time in years 5
Zina [3914]
To determine this, we will apply the simple interest formula: A=P(a+rt)
where
A signifies the total amount.
P indicates the principal amount.
r represents the interest rate in decimal.
t denotes the time period in years.

Investment A. The initial investment amount is $10,000, so P=10000. The investment period is 5 years, meaning t=5. To express the interest rate in decimal, divide it by 100%
r= \frac{3}{100} =0.03
Now, we can substitute these values into our formula to find A:
A=P(a+rt)
A=10000(1+0.03*5)
A=11500

Investment B. P=8000, t=15, and r= \frac{2.8}{100} =0.028.
A=P(a+rt)
A=8000(1+0.028*15)
A=11360

In conclusion, investment A will yield a greater value than investment B at the investment period's conclusion.
3 0
4 days ago
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Leslie is running for a political office. She wants to poll adults in her district to understand their stances on various issues
tester [3916]
Believe this is accurate.
6 0
6 days ago
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