Two glasses of milk and three snack bars have a total of 72 carbs. and 4 glasses of milk and 2 snack bars have a total of 88 carbs. Determine how many carbs are one glass of mild and one snack bar.

Answer:

x ∈ R

Step-by-step explanation:

4x+x+4=8x−3x+4

Combine 4x and x to get 5x.

5x+4=8x−3x+4

Combine 8x and −3x to get 5x.

5x+4=5x+4

Subtract 5x from both sides.

5x+4−5x=4

Combine 5x and −5x to get 0.

4=4

Compare 4 and 4.

True

This is true for any x.

x ∈ R

Answer:

-27 if im reading the question right.

Step-by-step explanation

Answer:

41 minutes 40 seconds

Step-by-step explanation:

10km = 10000m

10000/4 = 2500 seconds

2500/60 = 41.6666...

Hence, 41 minutes 40 seconds.

To solve such type of problems in math's we must know the formula related to motion specifically speed. The time taken for Cameron to complete the race is  2500s

When any object cover a particular distance with particular speed then it takes a particular time and this time is called time of motion. The unit of time can be seconds, minutes or hours.

The time of motion is calculated as follows;

time = distance/speed

As distance is given in kilometer so we need to convert kilometer to meter as our speed is in meter per second, so to cancel out the units we must do the conversion and the substituting the values in the above formula

time = 10000/4

time = 2500s

Thus, the time taken for Cameron to complete the race is  2500s when average speed is  4 m/s

Learn more about time of motion, here:

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Answer:

a) 0.7696 = 76.96% probability that at least 11 of them graduated.

b) 0.0474 = 4.74% probability that exactly 9 of them graduated.

c) Since 9 is less than 2.5 standard deviations from the mean, it would not be unusual.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they graduated, or they did not. Each student is independent of each other. 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.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Unusual outcome:

An outcome in the binomial distribution is unusual if it is more than 2.5 standard deviations from the mean.

92.4% for the medical students admitted through special programs.

This means that [tex]p = 0.924[/tex]

a. If 12 of the students from the special programs are randomly selected, find the probability that at least 11 of them graduated.

This is [tex]P(X \geq 11)[/tex] when [tex]n = 12[/tex]. So

[tex]P(X \geq 11) = P(X = 11) + P(X = 12)[/tex]

In which

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

[tex]P(X = 11) = C_{12,11}.(0.924)^{11}.(0.076)^{1} = 0.3823[/tex]

[tex]P(X = 12) = C_{12,12}.(0.924)^{12}.(0.076)^{0} = 0.3873[/tex]

[tex]P(X \geq 11) = P(X = 11) + P(X = 12) = 0.3823 + 0.3873 = 0.7696[/tex]

0.7696 = 76.96% probability that at least 11 of them graduated.

b. If 12 of the students from the special programs are randomly selected, find the probability that exactly 9 of them graduated.

This is P(X = 9). So

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

[tex]P(X = 9) = C_{12,9}.(0.924)^{9}.(0.076)^{3} = 0.0474[/tex]

0.0474 = 4.74% probability that exactly 9 of them graduated.

c. Would it be unusual to randomly select 12 students from the special programs and get exactly 9 that graduate?

The mean number of students expected to graduate is:

[tex]E(X) = np = 12*0.924 = 11.09[/tex]

The standard deviation is

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{12*0.924*0.076} = 0.92[/tex]

11.09 - 2.5*0.92 = 8.79

This means that anything below 8.79 is unusual, so, since 9 is less than 2.5 standard deviations from the mean, it would not be unusual.

Answer:

Prob = 20/52

Step-by-step explanation:

There are 5 even number cards per suit: 2, 4, 6, 8, and 10.

and there are 4 suits in a deck, so the total of the even number card events is 5 * 4 = 20

Given that the deck has 52 cards total, then the probability of drawing an even numbered card is the number of successes (20) divided the number of total cards (52) This gives:

Prob = 20/52

which agrees with answer A) in your list.

Answer:

[tex]\displaystyle m=-2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-2, 4)

Point (-6, 12)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

a. 76 b. 52

Step-by-step explanation:

The perimeter of a rectangle is the sum of its four sides.

Now all rectangles have a width and a length.

To find the perimeter it is 2 width + 2 length or 2W +2L.

So if the Perimeter P = 344 and Width W = 76 and P = 2W + 2L

Then...

2(76) + 2L = 344 multiply 2 and 76

2L + 152 = 344 subtract 152 from both sides

2L = 192 divide both sides by 2

L = 96

The length is 96.

The equation of an area of a rectangle is A or  area = width x length or W x L

So the equation is A = W x L

If the area is 4732 and the length is 91 then

91W = 4732 divide both sides by 91

W = 52

The width is 52.

Hope that helps, good luck with your homework!

Answer:

$47.925 for herself.

Step-by-step explanation:

Answer:

Step-by-step explanation:

42+11.25 =52.35

52.35*.10

5.235$

I hope this is the right answer

Answer:

A

Step-by-step explanation:

Money with Nathan in his savings account = $40

Rate of interest per annum = 5%

We know that :

[tex]\color{hotpink}\tt \: simple \: interest \color{plum}= \frac{principal \times rate \times time}{100} [/tex]

In this case :

Principal = $40

Rate = 5%

Time = 1 year

Simple interest he will earn in 1 year :

[tex] =\tt \frac{40 \times 5 \times 1}{100} [/tex]

[tex] = \tt \frac{200}{100} [/tex]

[tex]\color{plum} =\tt\$ \: 2[/tex]

Amount = Principal + Interest

Amount Nathan has to pay at the end of one year :

[tex] = \tt40 + 2[/tex]

[tex]\color{plum} =\tt \$42[/tex]

Thus, at the end of 1 year Nathan has to pay $42.

Therefore, simple interest Nathan will earn in 1 year = $2

Answer:

The power of horse is:  P = 72000 W

Step-by-step explanation:

Given

To determine

P = ?

Using the formula

[tex]\:\:\:P=\overrightarrow{F\cdot }\overrightarrow{v}[/tex]

The  ⋅  in the formula represents a scalar product, defined by:

[tex]\overrightarrow{v\cdot }\overrightarrow{w}=|v||w|cos\:\theta[/tex]

The angle Ф is zero because F and v are are parallel.

Thus the cosine is 1.

Therefore,

P = (1800) (40.0)

P = 72000 W

Hence, the power of horse is:  P = 72000 W

Answer:

5(2y +1)

Step-by-step explanation:

simplest form =10y+5

Answer:

No

Step-by-step explanation:

If you add all the sales you do not meet your goal of $25,000

Answer:

its the first one/top left

Step-by-step explanation:

Answer:

2.15 times or 215%

Step-by-step explanation:

V(Luxor) = (646)² · 350/3

V(Tower) = 290 x 125 x 622

V(Luxor) ÷ V(Tower) = 2.15

Answer:

(9/8)²=

81/64.

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

Answer:

165

Step-by-step explanation:and if u add them together and line them up correctly you will get the answer

11(9 + 6) will be the greatest common factor and the distributive property to rewrite this sum as 99 + 66.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given that,

⇒ 99 + 66

The highest common factor among both is 15

⇒ 11(9 + 6)

Hence " 11(9 + 6) will be the greatest common factor and the distributive property to rewrite this sum as 99 + 66".

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Answer:

A, C, E

Step-by-step explanation:

hope this helps!

Answer:

I think it is A, C, E

Step-by-step explanation:

Answer:

"C" is the answer to that question

Answer:

C

Explanation:

Because I say so

Answer:

Step-by-step explanation:

Answer:

Riian completed a greater amount of homework.

Step-by-step explanation:

The fraction 7/8 is greater than the fraction 2/3.

Answer:

-3x²-5xeˣ-eˣ

-3eˣx²-11eˣx-6eˣ

Step-by-step explanation:

I'm going to go by the picture and not what you wrote in your title.

To find the derivative of this we have to apply the product rule

(a*b)'=

a'*b+a*b'

We plug in our numbers and get

(-3x²+x-2)'*eˣ+(-3x²+x-2)*eˣ'

Now we can evaluate the derivatives and simplify

(-3x²+x-2)'= -6x+1

eˣ'=eˣ

which means we have

(-6x+1)*eˣ+(-3x²+x-2)*eˣ

Simplify

-6xeˣ+eˣ-3x²eˣ+xeˣ-2eˣ

Combine like terms

-3x²eˣ-5xeˣ-eˣ

Now we just need to find the derivative of this

We can apply the same product rule as we did before

(-3x²eˣ)'

Let's start by factoring out the -3 to get

-3(x²eˣ)'

which is equal to

-3(x²eˣ'+x²'eˣ)

Compute this and get

-3(x²eˣ+2xeˣ)= -3x²eˣ-6xeˣ

Now let's find the derivative of the second part

(-5xeˣ)'

-5(x'eˣ+xeˣ')

-5(eˣ+xeˣ)

-5eˣ-5xeˣ

Which means we have

(-3x²eˣ-6xeˣ)+(-5eˣ-5xeˣ)-eˣ

Combine like terms and get

-3eˣx²-11eˣx-6eˣ

Answer:

get all the varibles on one side

Step-by-step explanation:

mark me as brainliest plz thx

Step-by-step explanation:

answer for d is 3 over 8....

that's all I know from the qn and can help u... sorry

Answer:

C. 254

Step-by-step explanation:

There are 3 different types of engineers listed in the chart, Electrical, Chemical, and Mechanical. Under the first column of math, add together the numbers for all three engineers.

85+80+89= 254

Therefore, 254 engineers chose math as their favorite subject.

Answer:

Step-by-step explanation:

Count all writing utensils which is 16, then jus count the number of pencils

Answer:

5:16 because she has 5 pencils and a total of 16 writing utensils

Step-by-step explanation: