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N76 [4]
3 years ago
5

The width of a rectangle is the length minus 4 units. The area of the rectangle is 21 units. What is the width, in units, of the

rectangle?​
Mathematics
1 answer:
beks73 [17]3 years ago
7 0

Answer:

Step-by-step explanation:

W=L-4\\ \\ L=W+4\\ \\ A=LW\\ \\ A=(W+4)W\\ \\ A=W^2+4W\\ \\ A=21\\ \\ W^2+4W=21\\ \\ W^2+4W-21=0\\ \\ (W+7)(W-3)=0\\ \\ W>0\\ \\ W=3u

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O DATA ANALYSIS AND STATISTICS Outcomes and event probability A number cube is rolled three times. An outcome is represented by
Simora [160]

ANSWER

EXPLANATION

For each of the three events, there are 8 possible outcomes, so the probability of each event is,

P(event)=\frac{favorable\text{ }outcomes}{possible\text{ }outcomes}=\frac{favorable\text{ }outcomes}{8}

• Event A:, there must be only odd numbers in the last two rolls, which are either ,EOO or OOO,. This event has 2 favorable outcomes, ,so its probability is 1/4,.

,

• Event B,: this is the complementary event to event A. Here the last two rolls must be even numbers - both or only one of the last two: ,OOE, EEO, EOE, OEE, EEE, OEO,. This event has 6 favorable outcomes, so ,its probability is 3/4,.

,

• Event C,: this event is when the first and last rolls are even numbers in the same event. This is either ,EOE or EEE,. Since this event has 2 favorable outcomes, ,its probability is 1/4,.

5 0
1 year ago
A table of values of a linear function is shown below.
STALIN [3.7K]

Answer:

Slope is -2

y intercept is -3

Equation :y=-2x-3

Step-by-step explanation:

6 0
3 years ago
A soccer ball made of leather 1/81/8 in thick has an inner diameter of 8.58.5 in . Use the formula V=(4/3)πr3V=(4/3)πr3 to calcu
Sphinxa [80]
1/8 inch thick
inner diameter of 8.5

volume shell=volume total-volume shell


1/8=0.125

diameter/2=radius
radius inner=8.5/2=4.25
radiustotal=inner+outer=4.25+0.125=4.375


so

Vouter-Vinner=(4/3)pi4.375³-(4/3)pi4.25³
Vshell=(4/3)(pi)(4.375³-4.25)
Vshell=(4/3)(pi)(83.740234375-76.765625)
Vshell=(4/3)(pi)(6.974609375)
Vshell=9.299479166666666666666pi cubic inches
Vshell≈16.433536180619 cubic inches
6 0
2 years ago
Read 2 more answers
Find the measure of angle​
kati45 [8]

Answer:

136 °

Step-by-step explanation:

6 0
3 years ago
Find the mean, median, and mode of the listed numbers.
-BARSIC- [3]

Step-by-step explanation:

mean: (3 + 2 + 7 + 7 + 3 + 8 + 5 + 7 + 2 +8)/10 = 5.2

median: 2, 2, 3, 3, 5, 7, 7, 7, 8, 8 hence median is (5 + 7) / 2 = 6

mode: 7

Topic: mean median mode

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

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2 years ago
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