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9514 1404 393

Answer:

  5.  70°

  6.  69°

  7.  17°

  8.  37°

Step-by-step explanation:

Problems 5, 7, 8 have the opposite side and adjacent side given. You know that ...

  Tan = Opposite/Adjacent

Then the angle measure is ...

  angle = arctan(Opposite/Adjacent)

__

Problem 6 gives the opposite side and the hypotenuse. The sine relation is involved there:

  Sin = Opposite/Hypotenuse

Then the angle measure is ...

  angle = arcsin(Opposite/Hypotenuse)

__

5. ? = arctan(93/34) ≈ 70°

6. ? = arcsin(42/45) ≈ 69°

7. ? = arctan(11/35) ≈ 17°

8. ? = arctan(22/29) ≈ 37°

Answer:

0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls

Step-by-step explanation:

For each call, there are only two possible outcomes. Either the lines are occupied, or they are not. The events that the lines are occupied on successive calls are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The phone lines to an airline reservation system are occupied 61% of the time.

This means that [tex]p = 0.61[/tex]

If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls

This is P(X = 5) when n = 11. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{11,5}.(0.61)^{5}.(0.39)^{6} = 0.1373[/tex]

0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls

Answer:

my names jeff

Step-by-step explanation:

Answer:

Step-by-step explanation:

So its a rectangle which means it has 4 sides

two of the sides are x feet long

and two of them are 2x -3 feet long

we also know that all of the sides together are 48 feet long

so the equation would look like

2(x)+2(2x-3)=48

or x+x+2x-3+2x-3=48

It doesn't matter which one you use because they both simplify to

6x-6=48

add 6 to both sides

6x=54

divide both sides by 4

x=9

Answer:

x = 140°

Step-by-step explanation:

If angle DBC is 35° and angle ABD is 105°, you add them together and you get 140°.

Answer:

28 980

Step-by-step explanation:

4,000 CM^2

first you multiply 8 by 5 to find out the square meters then you Multiply 100 because that's how many centimeters are in a meter and that equals 4,000.

Answer:

$2.50

Step-by-step explanation:

divide $65.00 by 26 pounds

Answer: $2.50 per pound

Step-by-step explanation: $65/26 pound = $2.5 per ponund

Answer:

c

Step-by-step explanation:

because you have to know how many 8nches is a cube

Answer:

28m + 24f

Step-by-step explanation:

4(7m + 6f)

28m + 24f (distributive property of equality)

Answer:

The answer is "a double-blind randomized experiment".

Step-by-step explanation:

In this question, the above option is right, since we realize here how we have randomly separated image into three accurately evaluate, it implies whether random sampling is oresepr and also that the citizens, as well as the medical technician, have no idea whatever the party has got, implying their two-blind diagnosis.

Answer:

because one i one is higher than the other, if you look at it

Answer:

Larger

Step-by-step explanation: 6/5= 1.2 so 1.2 would be diametrically larger

Answer:

i dont know good luck

Step-by-step explanation:

Answer:

It's a Rhombus

Step-by-step explanation:

Answer:

16.6 x − 8.6

Step-by-step explanation:

Hope this helps

Answer:

Answer is in picture

Step-by-step explanation:

Hope it is helpful.....

Answer:

443

Step-by-step explanation:

Answer:

449

Step-by-step explanation:

Step-by-step explanation:

to find area of quarter circle---

= πr²×1/4

= 22/7×8×8×1/4

= 50.28

hope this helps:)♥

Answer:

The largest possible number is 24, the smallest possible number is -6.

Step-by-step explanation:

maths

Smaller possible number = -6 and larger possible number = 24.

The absolute value of a number is the distance value from zero without considering the sign of a number. It is also represented as |x|, where x is any number.

Given:

The distance between two numbers on the number line is 15.

And the distance between the numbers is the absolute value.

And one of the numbers is 9.

Let x and -x are the numbers.

So, when the number is x,

distance,

x-9 = 15.

x = 24

And when the number is -x,

distance,

9 -(-x)= 15.

x = -6.

Therefore, the possible integers are -6 and 24.

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Answer:

Domain: (-∞, ∞)

Range: (-∞, ∞)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, we see our x-values span from negative infinity to positive infinity:

Interval Notation - (-∞, ∞)

Inequality Notation - ∞ < x < ∞

According to the graph, we see our x-values span from negative infinity to positive infinity:

Interval Notation - (-∞, ∞) or all real numbers

Inequality Notation - -∞ < y < ∞

Answer: y = 14^x

Step-by-step explanation:

Here the options are:

a y = 14^x

b y = -3*(17)^x

c y = 120x

d y = -275x

to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:

the derivations are:

a y = x*14^(x - 1)

b y = -x*3*(17)^(x  - 1)

c y = 120

d y = -275

So we can already discard options c and d, because have constant rate of change.

Then we keep options a and b.

Always when we have an exponential function, like a^x and b^x

The one with the larger base will be steeper.

So if a > b, then:

a^x is steeper than b^x

In this case, the function:

y = -3*(17)^x

has a larger base, but, this function is negative.

This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)

Then the left option (a: y = 14^x)

Will be the correct one.

(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)

Answer:

D. Marie can make 60 pies.

Step-by-step explanation:

In this problem, we know that amount of small mango pies is directly proportional to the amount of mangoes. The amount needed for preparing an amount of pies is calculated by simple rule of three:

A. Marie can make 30 pies.

[tex]x = \frac{10\,mangoes}{12\,pies}\times 30\,pies[/tex]

[tex]x = 25\,mangoes[/tex]

25 mangoes are required for producing 30 pies.

B. Marie can make 40 pies.

[tex]x = \frac{10\,mangoes}{12\,pies}\times 40\,pies[/tex]

[tex]x = 33.333\,mangoes[/tex]

34 mangoes are required for producing 40 pies.

C. Marie can make 50 pies.

[tex]x = \frac{10\,mangoes}{12\,pies}\times 50\,pies[/tex]

[tex]x = 41.667\,mangoes[/tex]

42 mangoes are required for producing 50 pies.

D. Marie can make 60 pies.

[tex]x= \frac{10\,mangoes}{12\,pies}\times 60\,pies[/tex]

[tex]x = 50\,mangoes[/tex]

50 mangoes are required for producing 60 pies.

The complete statement is: Marie can make 12 small mango pies for every 10 mangoes.How many pies can she make with 50 mangoes.

Hence, correct answer is D.

Answer:

57 pisquets

Step-by-step explanation:

Ratio of pisquets:vreels = 10:7

Ratio on Frank's rew farm: x:40

since ratios are equivalent, you'd so the same on both sides. To get from 7 to 40 u multiply by a number, so to get from 10 to x u have to multiply by that same number. To find this number, divide 40 by 7: 40/7 = 5.7

Then, multiply this by 10: 5.7 x 10 = 57

there are roughly 57 pisquets on his farm.

hope this helps!

Answer:THIS TOOK ME FOREVER BUT WAS WORTH IT

1)1 1/7 times 1 3/4=2

2)8 1/3 times 3/5=5

3)4 3/8 times 1 2/3= 7 7/24

4)5 1/2 times 3 1/3=18 1/3

5)7 1/5 times 2 1/6=10 3/14

6)2/3 times 4/15=8/4

7)2 2/5 times 1 1.4=27 9/25

8)4 2/5 times 10=44

9)26 times 2 1/2=65

10)6 times 3 2/3=22

11)6 1/4 times 1 5/7=10 5/7

12)3 1/3 times 2 3/5=8 2/3

13)4 1/2 times 4 2/3=21

14)5 5/8 times 1 5/9=8 2/4

Step-by-step explanation:

Answer:

8 / 24

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Answer:

cost of vest is $21.00

Step-by-step explanation:

set up and equation:

let x be cost of vest

0.07x=1.47

÷0.07 ÷0.07

x= 21

Answer:

15:2

Step-by-step explanation:

If you take 45 / 6 you will end up with 7.5

You can't have a ratio with a fraction. So to get a whole number you multiply 7.5 by 2 to get a full number. Therefore 15:2

9514 1404 393

Answer:

  D.  Volcanic Gray

Step-by-step explanation:

The ratio of paint used is ...

   black : white = (4 gal) : (1/2 gal) = 8 : 1  . . . . . .  multiply given numbers by 2

This matches the ratio in the table for Volcanic Gray.

Answer:

Input Variable: Number of chores

Output Variable: Earnings

Step-by-step explanation:

Given

Earnings = $3 per chore

Required

Determine the input and the output variables

The given parameter

Earnings = $3 per chore

i.e.

If he does 1 chore, he earns $3

If he does 2 chores, he earns $6

If he does 3 chores, he earns $9

---

--

-

If he does n number of chores, he earns $3n

So, we can conclude that:

His earning is dependent on the number of chores.

The keyword dependent shows that:

Input Variable: Number of chores

Output Variable: Earnings

a) The slope of the new road is given by m = -4

b) The equation of line is y = -4x + 32

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be represented as P ( 4 , 7 )

Let the second point be represented as Q ( 2 , 15 )

Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 15 - 7 ) / ( 2 - 4 )

Slope m = 8 / -2

Slope m = -4

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 4 = ( -4 ) ( x - 7 )

On simplifying the equation , we get

y - 4 = -4x + 28

Adding 4 on both sides of the equation , we get

y = -4x + 32

Hence , the equation of line is y = -4x + 32

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