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lapo4ka [179]
3 years ago
14

A system of equations is shown below: y = 8x − 2 y = 9x − 7 What is the solution to the system of equations? (1 point) (−5, 38)

(−5, −38) (5, 38) (5, −38)
Mathematics
1 answer:
Oxana [17]3 years ago
4 0

Answer:

(5,38)

Step-by-step explanation:

Use graphing calculator and the answer should be the point where the line crosses each other.

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For which value of x is ABCD a kite?
Anit [1.1K]

Answer:

83

Step-by-step explanation:

x+7+90

x=83

5 0
3 years ago
The probability density function of the time you arrive at a terminal (in minutes after 8:00 A.M.) is f(x) = 0.1 exp(−0.1x) for
Blababa [14]

f_X(x)=\begin{cases}0.1e^{-0.1x}&\text{for }x>0\\0&\text{otherwise}\end{cases}

a. 9:00 AM is the 60 minute mark:

f_X(60)=0.1e^{-0.1\cdot60}\approx0.000248

b. 8:15 and 8:30 AM are the 15 and 30 minute marks, respectively. The probability of arriving at some point between them is

\displaystyle\int_{15}^{30}f_X(x)\,\mathrm dx\approx0.173

c. The probability of arriving on any given day before 8:40 AM (the 40 minute mark) is

\displaystyle\int_0^{40}f_X(x)\,\mathrm dx\approx0.982

The probability of doing so for at least 2 of 5 days is

\displaystyle\sum_{n=2}^5\binom5n(0.982)^n(1-0.982)^{5-n}\approx1

i.e. you're virtually guaranteed to arrive within the first 40 minutes at least twice.

d. Integrate the PDF to obtain the CDF:

F_X(x)=\displaystyle\int_{-\infty}^xf_X(t)\,\mathrm dt=\begin{cases}0&\text{for }x

Then the desired probability is

F_X(30)-F_X(15)\approx0.950-0.777=0.173

7 0
4 years ago
2,652 divided by 48.
kozerog [31]
48 goes in to 2,652 how many times...that your answer...48 cannot go into 2 6 or 5 but it can into 265 5 times which equal240 subtract that from265 =25 ,48 cannot go in to 25 so bring down the 2 to make it 252 then divide 48 by 252 which goes 5 times equaling12 48 cannot go in to 12 so add a 0 to 2652 to make it 26520 then bring the 0 down to make 12 120 then divide 48 into that which it goes 2 times equaling 96 120subtract 96=24 48 cannot go into 24 so add another 0 to 26520 to make it 265200 bring down the zero to make 24 into 240 divide 48 into that which gives you240 subtract 240 from 240 = 0 so your answer is 48 divide into 2652=525

7 0
3 years ago
2. How many square yards of carpet will be needed for a 21 ft by 15 ft room?
ipn [44]

Answer:

The answer to your question is: 35 yd²

Step-by-step explanation:

To solve this problem, just find the data, the formula, substitute the values in the formula and find the result.

Data

Square yards = ?

Length = 21 ft

Width = 15 ft

Formula

Area of a rectangle = length x width

Substitution

Area of a rectangle = 21 ft x 15 ft

Area of a rectangle = 315 ft²

Area of a rectangle = square yards of carpet

Finally, convert ft² to yd²

315 ft² = 35 yd²

Result

Square yards of carpet = 35 yt²

7 0
3 years ago
Sam thinks that his MP2 average grade will be an 80. He received the following scores: 90, 80, 75, 90, 85. Is he correct?
strojnjashka [21]

Answer:

8.4

Step-by-step explanation

7 0
3 years ago
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