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Reil [10]
3 years ago
12

Find value of X (Show steps on how to solve)

Mathematics
1 answer:
zaharov [31]3 years ago
5 0

Answer:

11°

Step-by-step explanation:

Here in the figure , angle(BAC) = angle(QSR) = 45°

also, angle(ABC) = angle(SQR) = 80°.

In triangle SQR,

angle(QSR) + angle(SQR) + angle(SRQ) = 180°

=> angle(SRQ) = 180 - ( 45 + 80 )

= 180 - 125

= 55°

But angle(SRQ) = 5x ( its given in question )

So,

5x = 55°

=> x = 11°

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What is the value of the 1 in the number 7,491,285 ill??? please help asap rocky
Yuliya22 [10]

Answer:

the thousands

Step-by-step explanation:

7 is millions

4 is hundred thousands

9 is ten thousands

1 is thousands

2 is hundreds

8 is tens

5 is ones

7 0
3 years ago
Twenty percent of drivers driving between 10 pm and 3 am are drunken drivers. In a random sample of 12 drivers driving between 1
Lesechka [4]

Answer:

(a) 0.28347

(b) 0.36909

(c) 0.0039

(d) 0.9806

Step-by-step explanation:

Given information:

n=12

p = 20% = 0.2

q = 1-p = 1-0.2 = 0.8

Binomial formula:

P(x=r)=^nC_rp^rq^{n-r}

(a) Exactly two will be drunken drivers.

P(x=2)=^{12}C_{2}(0.2)^{2}(0.8)^{12-2}

P(x=2)=66(0.2)^{2}(0.8)^{10}

P(x=2)=\approx 0.28347

Therefore, the probability that exactly two will be drunken drivers is 0.28347.

(b)Three or four will be drunken drivers.

P(x=3\text{ or }x=4)=P(x=3)\cup P(x=4)

P(x=3\text{ or }x=4)=P(x=3)+P(x=4)

Using binomial we get

P(x=3\text{ or }x=4)=^{12}C_{3}(0.2)^{3}(0.8)^{12-3}+^{12}C_{4}(0.2)^{4}(0.8)^{12-4}

P(x=3\text{ or }x=4)=0.236223+0.132876

P(x=3\text{ or }x=4)\approx 0.369099

Therefore, the probability that three or four will be drunken drivers is 0.3691.

(c)

At least 7 will be drunken drivers.

P(x\geq 7)=1-P(x

P(x\leq 7)=1-[P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)+P(x=6)]

P(x\leq 7)=1-[0.06872+0.20616+0.28347+0.23622+0.13288+0.05315+0.0155]

P(x\leq 7)=1-[0.9961]

P(x\leq 7)=0.0039

Therefore, the probability of at least 7 will be drunken drivers is 0.0039.

(d) At most 5 will be drunken drivers.

P(x\leq 5)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)

P(x\leq 5)=0.06872+0.20616+0.28347+0.23622+0.13288+0.05315

P(x\leq 5)=0.9806

Therefore, the probability of at most 5 will be drunken drivers is 0.9806.

5 0
3 years ago
Cyclone cleared leaves from the same number of yards each day for 5 days. Then on day 6, he cleared the leaves from 8 more yards
tresset_1 [31]

Answer:

20.83 yard

Step-by-step explanation:

<u>Calculate Cubic Yards</u>

Calculate your area

Calculate your volume: Multiply area times the depth to get volume in cubic feet

Calculate your cubic yards: Divide cubic feet by 27 to convert to cubic yards and this is your answer

Where ft2 = square foot, ft3 = cubic foot, yd3 = cubic yard

Total yards = 5[x] + x + 8  

<u>Solve</u>

133 = 6x + 8

6x = 125

x = 20.83 yard

Therefore, the Cyclone cleared 20.83 yards on the first day.

5 0
2 years ago
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Paha777 [63]

Answer:

17: 6:48

18: 9:45

19: 85 minutes or 1 hour and 25 minutes

20: 165 minutes or 2 hours and 45 minutes

Step-by-step explanation:

6 0
3 years ago
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Naddik [55]

Answer:

I would help you... But I think that you are supposed to have a picture and there is no picture.

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