Alan is at an ice cream shop. The shop offers three types of cones (regular, waffle, and chocolate), and two flavors of ice cream (chocolate and strawberry).

The ice cream shop has a special on a random cone and ice cream flavor picked by a computer program. What is the probability that Alan will get waffle cone with strawberry ice cream if he asks for the special? (Round the answers to the nearest hundredth.)

Answer:

A) 5

Step-by-step explanation:

Distance between two points is calculated as:

Step 1: locate the coordinate points:

Point 1- (x₁ , y₂) = (-5, -2)

Point 2-(x₁ , y₂)= (-9, -5)

Formula to find distance between two points = √(x₂−x₁)² + (y₂−y₁)²

Step 2: input the values

√(−9− −5)² + (−5− −2)²

= √(−4)² + (−3)²

=√16 + 9

= √25 ........ square root of 25

= 5

Distance between points (-5, -2) and (-9, -5) is 5

work by Tolaosunrinde

Answer:

$6.8

Step-by-step explanation:

5+10+2+7+10=34

34/5=6.8

Answer:

7930.3 miles = d

Step-by-step explanation:

The circumference equals

C = pi *d

24901 = 3.14 d

Divide each side by 3.14

24901 / 3.14 = d

7930.254777 = d

Rounding to the nearest tenth

7930.3 =d

Answer:

The inequality that represents the number of cars he needs to sell is: [tex]x \geq 11[/tex]

Step-by-step explanation:

The commission received by the salesman, can be modeled by the following expression:

[tex]\text{commission}(x) = 700*x[/tex]

Where "x" is the number of sold cars. Since he needs to achieve a commission value of at least 7700, then the inequality that represents the number of cars he needs to sell is:

[tex]700*x \geq 7700[/tex]

We can solve for "x" in order to find the number of cars he needs to sell:

[tex]x \geq \frac{7700}{700}\\\\x \geq 11[/tex]

He needs to sell at least 11 cars.

Answer:

F is the largest angle

Step-by-step explanation:

The largest angle is opposite the largest side.  The smallest angle is opposite the smallest side.

The largest side is 4 so the largest angle is F

Answer:

y = 2x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2,3)

m = [tex]\frac{3-7}{2-4}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2 , thus

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 3), then

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = 2x - 1 ← equation of line

Answer:

The price per serving is $0.315, therefore, it's less than $0.5

Step-by-step explanation:

In order to calculate the price per serving, we can first calculate the price per cup, this is done by dividing the total value of the box by the number of cups it can serve:

[tex]price_{cup} = \frac{3.8}{9} = 0.42[/tex]

Since each serving is [tex]\frac{3}{4}[/tex] of a cup, then it's price has the same proportion and is given by:

[tex]price_{serving} = \frac{3}{4}*0.42 = 0.315[/tex]

The price per serving is $0.315, therefore, it's less than $0.5

Answer:

C

Step-by-step explanation:

The addition of the x^5 term makes it non proportional

Answer:

C.

Step-by-step explanation:

A. y = (6x + 3) - 3= 6x

B. y = - 15x

D. = - 1/3 x

All of these are proportional because they have general formula y = kx.

Answer:

D

Step-by-step explanation:

Since the interior angles of a triangle will always add up to 180 degrees, angle B must equal 180-67-40=73 degrees, meaning that angle B corresponds to angle E in the other triangle. A corresponds to D, and F maps to C. Since no rotation is necessary, all you need to do is align two of the vertices to their corresponding vertice on the other triangle. The only answer choice here that does this is choice D, meaning that it is the correct answer. Hope this helps!

Answer:

The total amount repayable will be £8,280.24.

Step-by-step explanation:

Use the attached formula

Answer:

(A) The correct option is (A).

(B) The correct option is (E).

Step-by-step explanation:

The events can be defined as follows:

X =  students felt they learned better at home

Y = students plan on taking an online course in college

The information provided is:

P (X) = 0.24

P (Y|X) = 0.80

P (Y|X') = 0.40

[tex]P(Y'|X)=1-P(Y|X)\\=1-0.80\\=0.20[/tex]

[tex]P(Y'|X')=1-P(Y|X')\\=1-0.40\\=0.60[/tex]

The Bayes' theorem states that the conditional probability of an event E[tex]_{i}[/tex] given that another event A has already occurred is:

[tex]P(E_{i}|A)=\frac{P(A|E_{i})P(E_{i})}{\sum {P(A|E_{i})P(E_{i})}}[/tex]

(A)

Compute the probability a person who does not plan on taking an online course felt they learned better at home as follows:

Use the Bayes' theorem.

[tex]P(X|Y')=\frac{P(Y'|X)P(X)}{P(Y'|X)P(X)+P(Y'|X')P(X')}[/tex]

              [tex]=\frac{0.20\times 0.24}{(0.20\times 0.24)+(0.60\times 0.76)}\\\\=0.09524\\\\\approx 0.095[/tex]

Thus, the probability a person who does not plan on taking an online course felt they learned better at home is 0.095 or 2/21.

(B)

Compute the probability a person who does plan on taking an online course felt they did not learn better at home as follows:

[tex]P(X'|Y')=1-P(X|Y')\\=1-0.095\\=0.905[/tex]

Thus, the probability a person who does plan on taking an online course felt they did not learn better at home is 0.905.

Answer:

x <2

Step-by-step explanation:

3(x+1)<9

Divide by 3

3/3(x+1)<9/3

x+1 < 3

Subtract 1 from each side

x+1-1 < 3-1

x <2

Answer:

x < 2

Step-by-step explanation:

Distribute the 3 to (x + 1):

3(x + 1)

3x + 3

→3x + 3 < 9

Subtract 3 from both sides:

→3x < 6

Divide both sides by 3:

→x < 2

Answer:

a. 11

b. 9

Step-by-step explanation:

thats the answer

Answer:

Not sure what the answer choices are, but choose the choice that says the new image is either stretched or shrunk. In a dilation, the shape/corresponding sides of the pre-image are preserved in the new image, but the size of the new image is altered.

Step-by-step explanation:

hope this helps!

Step-by-step explanation:

i think question is not complete.

Answer:

if it's the right angle and it nine times it own

I think it would be 180 degress

Answer:

6th degree trinomial

Step-by-step explanation:

Because the highest exponent is 6, and there are 3(tri) numbers.

Answer:

6th degree trinomial.

Answer:

y=-2x+3

Step-by-step explanation:

equation for slope is y=mx+b

the slope is -2 so that equals m

(0,3) is the y-intercept

y=b

3 is the y value making it substitute b making the equation y=-2x+3

Answer:

75.36 cm

Step-by-step explanation:

Radius for circle is half of diameter

given diameter is 24

therefore radius = half of 24 = 24/2 = 12

circumference of circle is given by [tex]2\pi r[/tex]

where r is the radius

therefore ,circumference of circle

[tex]circumference = 2\pi r = 2*3.14*12\\\\circumference = 75.36[/tex]

Thus, circumference of circle is 75.36 cm

Answer:

[tex]5a^2-8a[/tex]

Step-by-step explanation:

[tex]6(1-a^2)-2(3-a+2a^2)+5(-2a+3a^2)[/tex]

[tex](6)(1)+(6)(-a^2)+(-2)(3)+(-2)(-a)+(-2)(2a^2)+(5)(-2a)+(5)(3a^2)[/tex]

[tex]6+-6a^2+-6+2a+-4a^2+-10a+15a^2[/tex]

[tex](-6a^2+-4a^2+15a^2)+(2a+-10a)+(6+-6)[/tex]

[tex]5a^2-8a[/tex]

Answer:

m < 1.4

Step-by-step explanation:

Make [tex]\frac{8}{5}[/tex] a decimal.

1.6

3 > m + 1.6

m < 1.4

Answer: C

Step-by-step explanation:

Your answer is correct! When you multiply 2 matrices, the inner dimensions have to be equal. If they are equal, the resulting dimensions would be the outer dimentions.

(3×4)(4×5)

Since the inner (bolded) dimensions are the same, in this case 4×4, we know these matrices can be multiplied.

Since these matrices can be multiplied, the product will be 3×5, the underlined outer dimensions.

Answer:

There would be no change in the standard deviation if each one of the numbers in the set was decreased by 4.

Step-by-step explanation:

We are given that the standard deviation of a set of numbers is 22.2.

And we have to check that what would be the standard deviation, if each one of the numbers in the set was decreased by 4.

For concluding this, we will take a simple example;

Suppose that there are three set of numbers : 6, 8 and 10

Firstly, we will calculate the standard deviation for these numbers;

           X                        [tex]X - \bar X[/tex]                        [tex](X-\bar X)^{2}[/tex]

           6                      6 - 8 = -2                           4

           8                      8 - 8 = 0                            0

          10                     10 - 8 = 2                           4    

                                                                             8    

Here, the Mean of the three numbers is given by;

        Mean, [tex]\bar X[/tex]  =  [tex]\frac{6+8+10}{3}[/tex]  = 8

Now, standard deviation formula is given by;

      Standard deviation, s  =  [tex]\sqrt{\frac{(\sum X - \bar X)^{2} }{n-1} }[/tex]  

                                            =  [tex]\sqrt{\frac{8 }{3-1} }[/tex]  = 2

Now, we will decrease each of the three numbers by 4, we get ;

              X                        [tex]X - \bar X[/tex]                        [tex](X-\bar X)^{2}[/tex]

              2                      2 - 4 = -2                           4

              4                      4 - 4 = 0                            0

              6                      6 - 4 = 2                           4    

                                                                                8    

Here, the Mean of the three numbers is given by;

        Mean, [tex]\bar X[/tex]  =  [tex]\frac{2+4+6}{3}[/tex]  = 4

Now, standard deviation formula is given by;

      Standard deviation, s  =  [tex]\sqrt{\frac{(\sum X - \bar X)^{2} }{n-1} }[/tex]  

                                            =  [tex]\sqrt{\frac{8 }{3-1} }[/tex]  = 2

From this, we observe that even after decreasing each number by 4, the standard deviation remains same.

SO, we can conclude that if each one of the numbers in the set was decreased by 4 , the standard deviation of a set of numbers will be 22.2 only.

Answer:

Step-by-step explanation:

This follows the form

[tex]y=a(b)^x[/tex]

where a is the initial value and b is the base with the exponent.  Using that information, we can see that the initial value in our function is 1/3. Simplifying the base will take some work. Let's first rewrite this is a radical:

[tex]81^{\frac{3x}{4} }=\sqrt[4]{81^{3x} }[/tex]

Now let's break up 81 into its factors. 81 is 9*9 which is 3*3*3*3.  Therefore,

[tex]81=3^4[/tex]

We will use that as a simplification:

[tex]\sqrt[4]{(3^4)^{3x}}[/tex]  which simplifies to

[tex]\sqrt[4]{3^{12x}}[/tex]

Rewriting that as an exponent looks like this:

[tex]3^{\frac{12x}{4}}[/tex] which simplifies to

[tex]3^{3x}[/tex]

That's the answer for the second part.  The whole exponential equation now is

[tex]f(x)=\frac{1}{3}(3)^{3x}[/tex]

The domain for an exponential function is all real numbers and the range is

y > 0

Answer:

1/3

27

all real numbers

y > 0

ON EDGE

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2.5b + 15.2 = -3.5b

-2.5b + 2.5b + 15.2 = -3.5b + 2.5b

15.2 = -1b

15.2/-1 = -1b/-1

-15.2 = b

b = -15.2

Answer:

a =18

Step-by-step explanation:

The two angles are vertical angles and vertical angles are equal

6a +11 = 2a+83

Subtract 2a from each side

6a-2a +11 = 2a-2a+83

4a +11 =83

Subtract 11 from each side

4a +11 -11 = 83-11

4a = 72

divide each side by 4

4a/4 = 72/4

a =18

Answer:

[tex]x^2+10x+24[/tex]

Step-by-step explanation:

So just multiply the sides:

[tex]x^2+6x+4x+24[/tex]

Which is:

[tex]x^2+10x+24[/tex]

Answer:

Step-by-step explanation:

Let x be the random variable representing the number of miles that each person walked each day for 6 months. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

For Rueben,

µ = 5

σ = 1.1

the probability that Rueben walked more than 6.1 miles is expressed as

P(x > 6.1) = 1 - P( x ≤ 6.1)

For x = 6.1,

z = (4 - 6.1)/1.1 = - 1.91

Looking at the normal distribution table, the probability corresponding to the z score is 0.02807

P(x > 6.1) = 1 - 0.02807 = 0.97193

P(x > 6.1) = 0.97 × 100 = 97%

For Victor,

µ = 4.4

σ = 1.4

the probability that Victor walked less than 5.8 miless is expressed as

P(x < 5.8)

For x = 5.8,

z = (5.8 - 4.4)/1.4 = 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.8413

P(x < 5.8) = 0.84 = 84%

Answer:

k(-7) = - 89

Step-by-step explanation:

k (t) = 10t - 19

Let t = -7

k(-7) =10 * -7 - 19

        =-70-19

        -89

Answer:

[tex]k (-7) = -89[/tex]

Step-by-step explanation:

[tex]k (t) = 10t - 19[/tex]

[tex]k (-7) = 10(-7) - 19[/tex]

[tex]k (-7) = -70 - 19[/tex]

[tex]k (-7) = -89[/tex]

Answer:

D) 0.0004

Step-by-step explanation:

(0.02)^2=0.02*0.02=0.0004