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Answer:

3. 17x + 5 = 90° ( alternate exterior angles are equal)

=> 17x + = 90 – 5

=> 17x = 85

=> x = 85/17

=> x = 5

4. 63° + c + 110° + 75° + 50° = 360 °

=> c + 298° = 360°

=> c = 360° – 298°

=> c = 62 °

Answer:

112.5

Step-by-step explanation:

I am pretty sure, I used a calculator...

Answer:

so easy just divide then mulitply by two

Step-by-step explanation:

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years,  there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is [tex]\frac{21}{3000000}==0.000007[/tex].

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by [tex]q[/tex].

[tex]q=7\times 10^{-6}=0.000007[/tex].

So, the probability of survive, [tex]p=1-q[/tex]

[tex]\Rightarrow p=1-7\times 10^{-6}=0.999993.[/tex]

(a) The total number of jump he made, n=48

Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

[tex]=\binom(n,r)p^rq^{n-r}[/tex]

[tex]=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}[/tex]

[tex]=(0.999993)^{48}=0.999664[/tex] (approx)

So, the probability of survive in 48 skydiving is 0.999664,

(b) The given probability of surviving =90%=0.9

Let, total [tex]n[/tex] skydiving jumps required to meet the surviving probability of 0.9.

So, By using Bernoulli's equation,

[tex]0.9=\binom {n }{r} p^rq^{n-r}[/tex]

Here, r=n.

[tex]\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}[/tex]

[tex]\Rightarrow 0.9=p^n[/tex]

[tex]\Rightarrow 0.9=(0.999993)^n[/tex]

[tex]\Rightarrow \ln(0.9)=n\ln(0.999993)[/tex] [ taking [tex]\log_e[/tex] both sides]

[tex]\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}[/tex]

[tex]\Rightarrow n=15051.45[/tex]

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

Answer:

4) alternate exterior

6) alternate interior

Answer:

A and F

Step-by-step explanation:

They have just been angle slightly different.

Hope this helps!!!

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

6/8 ÷ 1/4

6/8 * 4/1

6*4/8*1

24/8

3

Best of Luck!

Answers:

10.

B: Austin did not combine -3 and -9 correctly.

11.

x=8.5

12.

2r-4s

13.

10x+3y

14.

k=2

Answer:

Negative

Step-by-step explanation:

Goes down from left to right

Answer:

2n ÷ 9 - x

Step-by-step explanation:

The product of 2 and a number, I used "n" to replace the number. Putting a number next to a variable means multiplying.

So we have 2n and divide by the difference (subtracting) of 9 and ANOTHER number, that means we need a different variable for this I used "x".

And that's how I got 2n ÷ 9 - x as my answer.

Hope that helps and have a great day!

Answer:

The least common denominator is 21.

Step-by-step explanation:

First, you must find the least common factor of the two:

3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70

Second, you must increase the fractions:

[tex]\frac{1}{3}[/tex] × [tex]\frac{7}{7}[/tex] = [tex]\frac{7}{21}[/tex]           [tex]\frac{3}{7}[/tex] × [tex]\frac{3}{3}[/tex] = [tex]\frac{9}{21}[/tex]

Answer:

Answers shown in attached image

Step-by-step explanation:

To solve these questions, you have to set each factor equal to zero and then solve for the variable.

Answer:

Look below

Step-by-step explanation:

372,000 = 372,000

372,000 = 300,000 + 70,000 + 2,000

Hopefully this helps you

pls mark brainlest

Answer:

Step-by-step explanation:

Riely made a mistake in step 4 because she forgot to cancel the negative sign

Answer:

Step 4

Step-by-step explanation:

edmentum.

Answer:

9x^4+21x^3+13x^2-x-2

Step-by-step explanation:

just foil (3x-1)(x+1)=3x^2+3x-x-1=f oil your answer (3x^+2x-1)with (X+1) this gives you 3x^3+3x^2+2x^2+2x-x+1 reduces to 3x^3 +5x^2+x+1 foil that with 3x=2

which gives you you answer

Answer:

20 boys

Step-by-step explanation:

Variables: g = girls; b = boys

Step 1: set up basic equation

60 = g + b

Step 2: define variable

g = 2b

Step 3: replace variable in the equation

60 = 2b + b

Step 4: solve

60 = 3b

60/3 = b

20 = b

Answer:

The Answer Is 30

Step-by-step explanation:

There were 60 boys and girls and twice as many girls were there, 30 x 2 = 60 :0

Answer:

60 bracelets

Step-by-step explanation:

908 / 15 = 60.5

you can not have half a bead on the bracelets so round down because you only have 908 beads and do not have more.

The maximum 60 bracelets, Tara can have with 15 beads in each bracelet.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into same number of parts.

Given, Tara has a box of 908 beads.

And one bracelet has 15 beads as per Tara's wish.

To find the number of bracelets,

we divide the total beads to beads in one bracelet.

That means,

Number of bracelets = 908 / 15= 60 (rounded)

Therefore, the maximum 60 bracelets, Tara can have with 15 beads in each bracelet.

To learn more about the division;

https://brainly.com/question/13263114

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Answer:

c

Step-by-step explanation: tell me if it is wrong if not

plz give brainliest?

Answer:

(B.) -12.6 - 8.7

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

its right on egde

UwU

Answer:

1 km

Step-by-step explanation:

Now we will arrange these lengths from lowest to longest.

30,000 mm < 60,000 mm < 500,000 mm < 1,000,000 mm

Answer: 29

Step-by-step explanation:

The answer is 29 because 29 - 16 = 13

Then multiply: 13 * -2 = -26

Answer:24

Step-by-step explanation:

Step-by-step explanation:

As per the fig,

<1 + <2 = 180°

(16x + 18) + (24x + 2) = 180°

X = 4°

Option (b) :

m <3 = 82°

m <2 = 98°

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

[tex]5(x - 6) + 3 = - 7 \\ 5x - 30 + 3 = - 7 \\ 5x - 27 = - 7 \\ 5x = 20 \\ x = 4[/tex]

Answer:

x=4

Step-by-step explanation:

5(x-6)+3=-7

Subtract 3 from each side

5(x-6)+3-3=-7-3

5(x-6)=-10

Divide by 5

5/5(x-6)=-10/5

x-6 = -2

Add 6 to each side

x-6+6 = -2+6

x = 4

Answer:

0.42 it is terminating because it goes 66666 but then changes to a 7 at the end

Step-by-step explanation:

5/12 is just like a division problem. You divide 5 by 12 to get 0.416666667 which is the full answer and you take the first two numbers after the decimal to be your answer. But if there is a 5 or higher after the second number you can round it to its nearest tenth.

Answer:

0.42 it is terminating because it goes 66666 but then changes to a 7 at the end

Step-by-step explanation:

5/12 is just like a division problem. You divide 5 by 12 to get 0.416666667 which is the full answer and you take the first two numbers after the decimal to be your answer. But if there is a 5 or higher after the second number you can round it to its nearest tenth.

Answer:

24

Step-by-step explanation:

subract 4 each time

As per arithmetic progression, the number comes after 28 in the given series is 24.

"An arithmetic progression is a sequence of numbers such that the difference between the consecutive terms is constant. "

The first term is = 40.

The common difference is (d) = 36 - 40 = 32 - 36 = 32 - 28 = - 4.

Here, the given series is in arithmetic progression.

Therefore, the next term after 28 is

= 28 - 4

= 24

Learn more about arithmetic progression here: https://brainly.com/question/24873057

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Answer:

20.7446514 degrees Celsius

Step-by-step explanation:

Answer:

I think it is b

Step-by-step explanation:

if it drops by 4 it would be negative. 6 hours passed so it would be positive

Answer:

x= -5

Step-by-step explanation:

Replace f(x) with 3, because f(x) is a fancy way of saying y. The equation is 3=-x-2. Add 2 to both sides to isolate the variable. You get 5=-x. Divide -1 from both sides to further isolate the variable. You get -5=x.

Answer:

neither

Step-by-step explanation:

Answer:

neither

Step-by-step explanation:

to be parallel you much have the same slope, so be perpendicular you must have the opposite reciprocal slope, and this has neither.