Norman has $15 in his wallet which is 20% of the total amount of money he owns. How much
money does Norman have in total? (Create a linear model if needed.)

Answer:

10 issues

Step-by-step explanation:

If my friend gets the first 2 issues free, then the remaining issues will be (12-2) = 10 issues .

for 12 issues my friend paid,

1 issue = $1.5

10 issues = 10 × $1.5 = $15

So, it matched which the question, which is $15 spent by my friend.

Answer = 10 issues

Answer:

The standard error of the sample mean  (S.E) = 0.7835

Step-by-step explanation:

Explanation:-

Given mean of the Population = 62.95 inches

Given standard deviation of the Population = 5.65 inches

The standard error of the sample mean is determined by

                  [tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]

                [tex]S.E = \frac{5.65}{\sqrt{52} } = 0.7835[/tex]

The standard error of the sample mean  is approximately (S.E) = 0.7835.

It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.

Supopse that we're given that:

Population standard deviation =[tex]\sigma[/tex]

Size of sample we're working on = n

Then, the standard error can be calculated as:

[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]

where SE denotes the standard error.

A track coach is gathering data on the stride length of each of her 52 team members when running a distance of 500 meters.

The population means is 62.95 inches with a standard deviation of 5.65 inches.

The mean of the Population = 62.95 inches

The standard deviation of the Population = 5.65 inches

The standard error of the sample mean can be determined by

[tex]= \dfrac{Standard deviation }{\sqrt{sample size}}\\\\\\= \dfrac{5.65 }{\sqrt{52}}\\= 0.7835140[/tex]

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Answer:

Rita's recipe

Step-by-step explanation:

Use proportions and find it out. [Use s as sugar and c as cookies]

Rita's - 2s = 2c. would be 1 cup of sugar per dozen cookies.

Joahn's - 2s = 3c. would be 2/3 cup of sugar per batch of cookies

Answer:

c

Step-by-step explanation:

10 is to high compared to 6

Answer:

0.444

Step-by-step explanation:

use the fraction bar as a division sign and solve the problem!

Answer:B A C

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Thats rounded.

The value of a from the given mathematical expression is 5.1.

Given the following data:

To determine the value of a:

In this exercise, you're required to solve for the value of a from the given mathematical expression. Since the two (2) mathematical expressions are equivalent (equal), we would go ahead to equate them as follows:

[tex]2.4x-3.9y-1.2x+ay = 1.2x+1.2y[/tex]

Simplifying the equation, we have:

[tex]2.4x-3.9y-1.2y+ay-1.2x-1.2x = 0 \\\\2.4x-5.1y+ay-2.4x = 0\\\\-5.1y+ay=0\\\\ay=5.1y[/tex]

a = 5.1

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Answer:

y + 7 = -3 ( x - 5 )

Step-by-step explanation:

Point slope is:

[tex]y-y_1=m(x-x_1)[/tex]

We are given the slope of -3 and the point of (5, -7).

Replace the variables with the appropriate values.

[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y+7=-3(x-5)}[/tex]

The correct answer should be D.

Hope this helps.

Answer:

y + 7 = -3 ( x - 5 )

Step-by-step explanation:

Answer:

perpendicular

Step-by-step explanation:

The lines are not parallel because the slopes are not equal. However, they are perpendicular because perpendicular lines' slopes are opposite reciprocal. (×negative with the denominator and numerator switched.)

Answer:

it is equal

Step-by-step explanation:

because they both have 90 86 and 84

Answer:

the lenght of the shortest side is 12

Step-by-step explanation:

So first add them all up becuase perimeter

3x+3x+5x-4+5x-4

You’ll get 16x-8

16x-8=56

16x=64

x=4

So then plug it in

3x=3*4=12

5x-4=5*4-4=16

so 12 is the shortest side

Given that Li is making beaded necklaces for each necklace, she uses 27 spacers, plus 5 beads per inch of necklace length.

The equation to find how many beads Li needs for each necklace can be obtained as follows:

A. The input variable is the number of inches of the necklace length (x).

B. The output variable is the number of beads Li needs for each necklace (y).

C. The required equation is given by

y = 5x

Answer:

-$0.15

Step-by-step explanation:

We have been given win = $10, and loss = $-1

This deck of cards has 4 aces out of a total of 52 cards.

Then the probability can be explained as the number of favorable outcome/number of what is the possible outcome.

P(win) = number of favorable outcome/number of possible outcome

= 4/52

= 1/13

P(loss) = number of favorable outcome/number of possible outcome

= 48/52

= 12/13

Then we have

$10x1/13 + (-1)x12/13

= 10/13-12/13

= -2/13 dollars

= -$0.15

Using the principle of discrete probability, the expected value, which a measure of the mean amount after many plays is - 2/13

Calculating the required probabilities :

P(winning) = P(drawing an Ace) = 4/52 = 1/13

Hence, P(losing) = 1 - 1/13 = 12/13

X :____ 10 _____ - 1

P(X) : _ 1/13_____ 12/13

The expected value :

E(X) = 10 × (1/13) + - 1(12/13)

E(X) = 10/13 - 12/13

E(X) = - 2/13

Hence, the measure of the mean amount is -2/13.

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Answer:

C. a = 2s - b - c

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle s = \frac{a + b + c}{2}[/tex]

Step 2: Solve for a

Answer:

2.0909=x

Step-by-step explanation:

9 (4 - x) = 2 (x + 7)

(9*4)-(9*x)=(2*x)+(2*7)

37-9x=2x+14

23=11x

23/11

2.0909=x

Answer:

melting and freezing

Step-by-step explanation:

i think there are some mistakes in the question, Please check once again! :)

Answer:2

Step-by-step explanation:toke the test

The number of units away from each of the points from the y-axis will be 2.

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

Let one point be (x, y) and another point be (h, k).

Then the distance between the points will be

D² = (x - h)² + (y - k)²

The points are given below.

A(-2, 3) and B(2, 3)

The coordinate of the points that lie on the y-axis is (0, 3).

Then the distance from point A will be given as,

D² = (-2 + 0)² + (3 - 3)²

D² = 4

D = 2

Then the distance from point B will be given as,

D² = (2 + 0)² + (3 - 3)²

D² = 4

D = 2

The number of units away from each of the points from the y-axis will be 2.

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Answer:

0.006795

Step-by-step explanation:

Note: The table of the question is attached as picture below

Total number of heavy smokers = 36+ 37 = 73

Total men and women = 880

We need to know the probability of selecting two DIFFERENT heavy smokers.

Probability of (First person selected is a heavy smoker) = 73/880

Discarding the first person, now you have 879 subjects left and 72 heavy smokers left.

So, Probability of Second person selected is a heavy smoker) = 72/879

Probability of 2 different people selected are heavy smokers) = 73/880 * 72/879

= 5256 / 773520

= 0.006795

Answer:

the area is 50

Step-by-step explanation:

value of the 5:2

Answer:

5

(a)

Let u and v be non-zero vectors such that v is a unit vector. Show that |u•v|<|u|.When does

equality occur? Explain your reasoning.

[3]

(b)

Show that if x and y are non-zero parallel vectors, then X×Y=0.

[2]

(c)

Referred to the origin o, points A and B have position vectors a and b respectively. Let C be a

Answer: the answer is additive identity property i just took the test

Step-by-step explanation: i hope this helps

Answer:

The remaining lenghts are [tex]x = 20.364\,cm[/tex] and [tex]y = 12.925\,cm[/tex].

Step-by-step explanation:

Given that there are two triangles opposite to each other and between two parallel lines, then both are similar, meaning than following relationships exist:

[tex]\frac{AC}{CD} = \frac{BC}{CE} = \frac{AB}{DE}[/tex] (1)

If we know that [tex]AC = 11\,cm[/tex], [tex]CD = 28\,cm[/tex], [tex]BC = 8\,cm[/tex] and [tex]DE = 32.9\,cm[/tex], then the missing lengths are, respectively:

[tex]\frac{11\,cm}{28\,cm} = \frac{8\,cm}{x}[/tex]

[tex]x = \frac{(28\,cm)\cdot (8\,cm)}{11\,cm}[/tex]

[tex]x = 20.364\,cm[/tex]

[tex]\frac{11\,cm}{28\,cm} = \frac{y}{32.9\,cm}[/tex]

[tex]y = \frac{(11\,cm)\cdot (32.9\,cm)}{28\,cm}[/tex]

[tex]y = 12.925\,cm[/tex]

The remaining lenghts are [tex]x = 20.364\,cm[/tex] and [tex]y = 12.925\,cm[/tex].

Answer:

a) P(F) = 0.15

b) P(F/B) =  0.13

c) 5% customers order neither food not beverage.

Further explanation is in the explanation section

Step-by-step explanation:

Solution:

Data given:

B = The customer orders a beverage

F = The customer orders food.

F + B = The customers order food and a beverage.

Percentage share:

F = 3%

B = 92%

F + B = 12%

a)

So, the Probability of B, the customer orders a beverage will be:

P(B) = 92% = 0.92

Probability of (F+B), the customers orders food and beverage will be:

P(F ∩ B) = 12% = 0.12

And we know that, 3% customers order food alone so,

P(F) - P(F ∩ B) = 3% = 0.03

So,

P(F) = (P(F) - P(F ∩ B)) + P(F ∩ B)

P(F) = 0.03 + 0.12

P(F) = 0.15

It means that 15% customer order food only.

b) Probability that the customer orders food given that they order a beverage.

P(F/B) =  (Probability that the customer orders food given that they order a beverage.)

P(F/B) = P(F∩B)/P(B)

P(F/B) = 0.12/0.92 = 0.13

P(F/B) =  0.13

Symbolic form of the required probability is = P(F/B)

c) If 180 customers are randomly selected, how many of them can we expect to order neither food nor a beverage?

Probability of ordering food and beverage will be:

P(F U B)

So,

Probability of ordering neither food nor beverage will be = 1 - P(F U B)

And,

P(F U B) = P(F) + P(B) - P(F ∩B)

P(FUB) = 0.15 + 0.92 - 0.12

P(FUB) = 0.95

Probability of ordering neither food nor beverage will be = 1 - P(F U B)

Probability of ordering neither food nor beverage will be = 1 - 0.95

Probability of ordering neither food nor beverage will be = 0.05

Hence, 5% customers order neither food not beverage.

So, we have selected 180 random people so, 5% of 180 =

number of people order neither food  nor beverage = 5/100 x 180

number of people order neither food  nor beverage = 9 people

It means we can expect out of 180 people, 9 people will not order food or beverage.