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3 years ago

Please help me! I will mark you brainliest!

Mathematics

1 answer:

Masja [62]3 years ago

5 0

Answer:

Second option is the correct choice.

Step-by-step explanation:

$k=6\quad and \quad E(X)=\frac{-7\:\:}{15}$

Regards: Umer

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An airplane flies due north from ikeja airport for 500km.It then flies on a bearing of 060 from a further distance of 300km befo

Nata [24]

Answer:

482 km

63.94 degrees

Step-by-step explanation:

to solve this question we will use the cosine rule. For starters, draw your diagram. From point A, up north is 500km and 060 from there, another 300. If you join the point from the road junction back to the starting point, yoou have a triangle.

Cosine rule states that

C = $\sqrt{A^{2} + B^{2} -2AB cos(c) }$

where both A and B are the given distances, 500 and 300 respectively, C is the 3rd distance we're looking for and c is the given angle, 060

solving now, we have

C = $\sqrt{500^{2} + 300^{2} -2 * 500 * 300 cos(60) }$

C = $\sqrt{250000 + 90000 - [215000 cos(60) }]$

C = $\sqrt{340000 - [215000 * 0.5 }]$

C = $\sqrt{340000 - [107500 }]$

C = $\sqrt{232500}$

C = 482 km

The bearing can be gotten by using the Sine Rule.

$\frac{sina}{A}$ = $\frac{sinc}{C}$

sina/500 = sin60/482

482 sina = 500 sin60

sina = $\frac{500 sin60}{482}$

sina = 0.8983

a = sin^-1(0.8983)

a = 63.94 degrees

6 0

3 years ago

What are the x and y intercepts of 4x-5y=100?

boyakko [2]

X intercept= (25,0)
y intercept= (0,-20)

7 0

3 years ago

HELPPPPP MEEEEEEE NOWWWWWWWWW HELPPPPPPPPPPPP

meriva

$\huge{\mathbb{\tt{ANSWER:}}}$

$\huge{\mathbb{\tt{SOLUTION↓}}}$

See the file attached (photo) and analyze it! ☺️ , Have a Great Day! ☺️✨❤️

#CarryOnLearning

#LetsEnjoyTheSummer

<h3>→XxKim02xX</h3>

6 0

3 years ago

Read 2 more answers

The line plot represents how many trips 10 adults take to the gas station in a month. After 4 more adults are included in the da

ivanzaharov [21]

Answer:

Step-by-step explanation:it is the second option. :)

3 0

3 years ago

Read 2 more answers

The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteri

vlada-n [284]

Option B: 256 is the diameter of the bacteria after 8 hours.

Explanation:

From the given, it is obvious that the graph is an exponential function.

The general formula is given by,

$y=a(b)^x$

Where a is the initial population,

b is the growth rate and

x is the number of hours.

It is given that the diameter of the bacteria doubles every hour.

Then, we have,

$b=2$

Let us substitute the coordinate (0,1) and $b=2$ , we get,

$1=a(2)^0$

$1=a$

Thus, substituting $a=1$ and $b=2$ in the general formula $y=a(b)^x$ , we have,

$y=1(2)^x$

We need to determine the diameter of the bacteria after 8 hours.

Let us substitute x = 8 in the equation $y=1(2)^x$ , we get,

$y=1(2)^8$

$y=1(256)$

$y=256$

Thus, the diameter of the bacteria after 8 hours is 256

Hence, Option B is the correct answer.

7 0

3 years ago