Sally collected 32 coins. The ratio of Sally’s coins to Bill’s coins is 4 : 7. If Sally and Bill each double the number of coins they have now, what is the ratio of Sally’s coins to Bill’s coins?

Answer:

1) correct

2) correct

3) incorrect, x = 11

4) incorrect, x = 50

Step-by-step explanation:

3) 90-35 = 5x

5x = 55

x = 11

4) 90-56 = (x-16)

x-16 = 34

x = 50

Answer:

Step-by-step explanation:

3) 5x +  35 = 90 {Complementary angles}

          5x = 90 - 35

          5x = 55

            x = 55/5

             x = 11

4) 56 +x - 16 = 90 {Complementary angles}

         x + 40 = 90

                x = 90 - 40

               x = 50

Answer:

A.) the number of fencers that do not use the foil as their main weapon

B.) X : 0, 1, 2, 3,..., 21

C.) X ~ p(X) ; 21 ~ 0.4

D.) 21 ~ 0.4

E.) 0.0895

F.) Yes. The probability of all 21 fencers not using the foil as their main weapon is small (less than 1%)

Step-by-step explanation:

A.) since it is reported that 60% of fencers use the foil as their main weapon ;

The random variable (x) : number of fencers that do not use foil as their main weapon ;

( 100% - 60%) = (1 - 0.6) = 0.4

B.) values that X may take on :

Sample size = 21 ;

X : 0, 1, 2,..., 21

The distribution of X

X ~ B ; X ~ p(X) ; 21 ~ 0.4

Part (d) How many fencers are expected to not use the foil as their main weapon?

X * p(x)

21 * 0.4

= 8.4

= 8 (nearest whole number)

Part (e) Find the probability that eleven do not use the foil as their main weapon.

P(x = 11)

Using the binomial probability relation :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x = 11) = 21C11 * 0.4^11 * 0.6^10

P(x = 11) = 0.0895

Part (f) Based on numerical values, would you be surprised if all 21 did not use foil as their main weapon?

P(x = 21) = 21C21 * 0.4^21 * 0.6^0

P(x = 21) = < 0.00001 ( approximately 0)

Hence, based on this very low value which is almost equal to 0 ; it will be surprising if all 21 do not use foil as their main weapon

Answer:

Step-by-step explanation:

1074/100

1.074*10

0.1074*10

107.4/10

10740/1000

Answer:

You can't divide 2 by 7 unless you will round and need a decimal because it will equal 0.28571428571 but if you mean 7 divided by 2 then that would get you 3.5

Step-by-step explanation:

Answer:

[tex]\alpha =1.76\ rad/s^2[/tex]

Step-by-step explanation:

Given that,

Initial angular speed of the skater, [tex]\omega_i=4.5\pi\ rad/s[/tex]

Final angular speed of the skater, [tex]\omega_f=7.2\pi\ rad/s[/tex]

Time interval, t = 4.8 s

We need to find her average angular acceleration  during this time interval. Let [tex]\alpha[/tex] be the average acceleration of the skater. So,

[tex]\alpha =\dfrac{\omega_f-\omega_i}{t}\\\\\alpha =\dfrac{7.2\pi -4.5\pi}{4.8}\\\\\alpha =1.76\ rad/s^2[/tex]

So, her angular acceleration is [tex]1.76\ rad/s^2[/tex].

9514 1404 393

Answer:

  c = 3

Step-by-step explanation:

In order for the function to be continuous at b=3, the left and right limits must be the same. In short, we must have ...

  c(3) +9 = c(3²) -9

  18 = 6c . . . . . . . . add 9-3c to both sides

  3 = c . . . . . . . . . . divide by 6

Function f is continuous when c=3.

Answer:

4:9

Step-by-step explanation:

12 red apples and 27 apples in total so it would be 12:27. Just divided it by 3

I think that's what the question is asking...

Answer:

What is the question?

Step-by-step explanation:

The number of nights that are needed to cover 4 chapters of the science book by Anthony is 8.

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Anthony reads 1/2 chapter of his science book each night.

He has 4 chapters left to read.

[tex]\begin{aligned} \rm \dfrac{1}{2} \ chapeter &\rightarrow 1 \rm \ night\\\\1 \ \rm chapter &\rightarrow 2 \ \rm nights\\\\4 \ \rm chapters &\rightarrow 8 \ \rm nights \end{aligned}[/tex]

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ1

Answer:

1 1/2

Hope that helps!

Step-by-step explanation:

Step-by-step explanation:

the scale factor is 1

1/1

both triangles are similar and the scale factor is 1/1

....................

Answer:

Step-by-step explanation:

Perpendicular (p) = 8

base(b) = 7

Tan A = p/b

tan A = 8/7

A = tan ^-1(8/7)

A = 48.81°

Answer: y=-3x+20

Step-by-step explanation:

Point slope formula = y-y1=m(x-x1)

y-2=-3(x-6)

y-2=-3x+18

y-2+2=-3x+18+2

y=-3x+20

Standard form is 3x+y =20

Answer:

f(x)=-7x-5

f(6)=-7(6)-5

f(6)=-42-5

f(6)=-47

Answer:

21> 2x+ 15

Step-by-step explanation:

The expression is 21 > 15+ 2x

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Twenty-one is greater than the sum of fifteen and two times a number​

let the number be x.

two times a number​ = 2x

and, sum of fifteen and two times a number​ = 15 + 2x

So, Twenty-one is greater than the sum of fifteen and two times a number​

21 > 15+ 2x

Hence, the expression is 21 > 15+ 2x.

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ2

Answer:

where is the picture to show ????

Answer:

x=9/4

Step-by-step explanation:

Answer:

[tex]2\frac{1}{4}[/tex]

Step-by-step explanation:

Question has missing details (See attachment).

Given

[tex]Orange\ Juice = 1\frac{1}{4}quart[/tex]

[tex]Pineapple\ Juice = 2\frac{1}{2}quart[/tex]

[tex]Seltzer = 1\frac{1}{2}quart[/tex]

Required

Determine how much juice than seltzer used.

To do this, we first calculate the total amount of juice

[tex]Juice = Orange + Pineapple[/tex]

[tex]Juice = 1\frac{1}{4} + 2\frac{1}{2}[/tex]

[tex]Juice = \frac{5}{4} + \frac{5}{2}[/tex]

Take LCM

[tex]Juice = \frac{5+10}{4}[/tex]

[tex]Juice = \frac{15}{4}[/tex]

Then subtract the amount of seltzer used.

[tex]Juice - Seltzer = \frac{15}{4}-1\frac{1}{2}[/tex]

[tex]Juice - Seltzer = \frac{15}{4}-\frac{3}{2}[/tex]

Take LCM

[tex]Juice - Seltzer = \frac{15 - 6}{4}[/tex]

[tex]Juice - Seltzer = \frac{9}{4}[/tex]

[tex]Juice - Seltzer = 2\frac{1}{4}[/tex]

The amount of juice used more than seltzer is [tex]2\frac{1}{4}[/tex]

Answer: 3 3/4 quarts

Hope this helps

Answer:

Step-by-step explanation:

It would be unusual because there are only one 7.6 samples out of a total of 100 samples.

Answer:

c) N(.47, .09)

Step-by-step explanation:

Options to the question are "a) N(.30, .10), b) N(.30, .09). c) N(.47, .09), d) N(.47, .008), e) N(.30, .008)"

Pο = 47% = 0.47

n = 30

Mean = Pο = 0.47

S.D = Pο(1-Pο) / n

S.D = 0.47 * 0.53 / 30

S.D = 0.09

Thus, the percentage of sleeping statistics of students follows a Normal distribution with mean = 0.47 and S..D = 0.09

Answer:

i dont know

Step-by-step explanation:

Step-by-step explanation:

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buwsusbvajz

Answer:

45%

Step-by-step explanation:

45%

Given:

The equation is

[tex]\dfrac{1}{3}x=\dfrac{1}{5}[/tex]

To find:

The coefficient and reciprocal.

Solution:

We have,

[tex]\dfrac{1}{3}x=\dfrac{1}{5}[/tex]

Here, [tex]\dfrac{1}{3}[/tex] is multiplied with x.

So, the coefficient of x is [tex]\dfrac{1}{3}[/tex].

To find the reciprocal, we need to interchange numerator and denominator of a fraction.

So, the reciprocal of [tex]\dfrac{1}{3}[/tex] is [tex]\dfrac{3}{1}=3[/tex]

Therefore, the reciprocal is 3.

Answer:

C is my answer

Thank You

Mark me as Brainilest Answer please ty

Answer:

(-0.2, 2.8)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Where the 2 lines intersect is the solution to the systems of equations.

Answer:

0.2990 = 29.90%.

Step-by-step explanation:

For each trial, there are only two possible outcomes. Either you win $400, or you do not. Trials are independent. So 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.

Probability of winning $400 in a trial:

1/4 probability of choosing the suitcase containing $400, and in this case, 0.7 probability of keeping it.

3/4 probability of choosing another suitcase. Then, 0.3 of 3/4 probability of changing the suitcase, and 0.5 of 0.3 of 3/4 probability of getting the suitcase containing $400. So

[tex]p = \frac{1}{4}*0.7 + \frac{3}{4}*0.3*0.5 = 0.25*0.7 + 0.75*0.15 = 0.2875[/tex]

If you play this game five times, the probability that the event W400 occurs twice in five trials is:_______

This is P(X = 2) when n = 5. So

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

[tex]P(X = 2) = C_{5,2}.(0.2875)^{2}.(0.7125)^{3} = 0.2990[/tex]

The probability is 0.2990 = 29.90%.

what kind of idiotic question is that

does a idiot teacher exists?

Answer:

permutation

Step-by-step explanation:

Analyzing the information in the question above, it is correct to say that it is necessary to use permutation, since the ORDER matters, since there is a need to program the band's appearances.

Permutation can be understood as an arrangement in which n = p, where n is the number of elements in the set and p is the number of available elements.

Therefore, the permutation of nine bands is:

Pn = n!

P9 = 9!

p9 = 362880

Answer:

C

Step-by-step explanation: