Luke ate a snack with 91 total calories. If the chips he ate were 41.2
calories, how many calories were in the rest of his snack? *
50.8
132.2
049.8

Answer:

The probability distribution for x:"number of children per family for this income group" is:

\(\text{P(x=0)}=0.15\\\\\text{P(x=1)}=0.35\\\\\text{P(x=2)}=0.45\\\\\text{P(x=3)}=0.05\\\\\)

Step-by-step explanation:

With the information given we have the relative frequencies of each category.

We know:

\(\text{P(x=0)}=0.15\\\\\text{P(x=1)}=0.35\\\\\text{P(x=2)}=0.45\\\\\text{P(x=3)}=0.05\\\\\)

Answer:

c. 54\(\pi\) in.³

The volume of cylinder is 54\(\pi\) in.³

Step-by-step explanation:

Given that :-

To Find :-

Solution:-

We use formula

Volume of cylinder = π × (radius)² × h

Volume of cylinder = π × ( 3)² × 6.

Volume of cylinder = π × 9 × 6.

Volume of cylinder = 54\(\pi\) in.³

The formula we use,

→ Volume of cylinder = π × r² × h

It is given that,

→ Height (h) = 6 and radius (r) = 3.

Then we have to,

find the volume of the cylinder,

→ π × r² × h

→ π × 3² × 6

→ π × 9 × 6

→ 54π in.³

Thus, option (c) is the answer.

Answer:

y = -6x + 8

Step-by-step explanation:

\begin{bmatrix}6x+y=8\\ y=-6x+8\end{bmatrix}

I don't know why it came out like this

Answer

value of x is 34 degrees  

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

(5^(1/3))^3

5^1                 The (1/3) is multiplied by 3 to give a power of 1

5

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

12.04

Step-by-step explanation:

Find the number in the hundredth place  4  and look one place to the right for the rounding digit  1 . Round up if this number is greater than or equal to  5  and round down if it is less than  5 .

Answer:

Hey there!

15/k, when k=3

15/3=5

Answer:

5

Step-by-step explanation:

its a simple as 15/3 = 5

have fun

Answer:

It is equal to 29..........

Answer:

29

Step-by-step explanation:

Answer:

Victor's equation did not correctly model the problem.

The equation that correctly modeled the problem:

$129.85-$89.25=$40.60

Step-by-step explanation:

The amount required for bicycle purchase by Victor is $129.85 out of which $89.25 has been saved,in other words,the balance required for Victor to reach his target purchase price is the difference between the total cost of $129.85 and the $89.25 already saved.

The balance required=$129.85-$89.25=$40.6

This shows that the equation put forward by Victor is wrong.

An equation that correctly represents the problem is the difference between the target savings and the amount already saved as stated above

Answer:

Victors model is incorrect,

Step-by-step explanation:

the correct model would be $89.25 + x = $129.85 or in other words the amount of money he has already + the amount of money he still needs = the total price of the bike.

An equation that correctly represents this problem can show the sum of the amount of money he already has and the amount of money he needs equals the total cost of the bicycle

I hope this helped!!

Answer:

f(x) = 3(x − 9)^2 + 4

To find the inverse of f(x), first we denote: y = 3(x - 9)^2 + 4, we then find a way to express x in term of y.

     y = 3(x - 9)^2 + 4

<=> y - 4 = 3(x - 9)^2

<=> (y - 4)/3 = (x - 9)^2

<=> sqrt[(y - 4)/3] = x - 9

<=> x = sqrt[(y - 4)/3] + 9

Denote left side is g(x), and variable y on the right side is x, we have:

g(x) = sqrt[(x - 4)/3] + 9

g(x) is inverse of f(x)

Here, (x - 4)/3 must be not a negative number (because of the definition of square root (sqrt) of a real number)

=> x - 4 >= 0 or x >= 4

=> The restriction domain of g(x), which is the inverse of f(x) is x >= 4

Answer:

1) 2/4

= 1/2

2) 6/9

= 2/3

3) 10/12

= 5/6

4) 8/12

= 2/3

5) 12/32

= 3/8

6) 27/45

= 3/5

7) 35/63

= 5/9

8) 64/96

= 2/3

Answer:

1.1/2

2.2/3

3.5/6

Step-by-step explanation:

yan lang muna pinsan

Answer:

Step-by-step explanation:

According to the property of the parallelogram, its adjacent angles are supplementary.

Let's verify:

Since 187° ≠ 180°, the figure is not a parallelogram

Answer:

The x-intercepts of the function are;

Explanation:

Given the function;

We want to derive the x-intercepts of the function.

The x-intercept is at f(x)=0;

solving for x;

Therefore, the x-intercepts of the function are;

Method 2: quadratic root property;

Therefore, the x-intercepts are;

The length of side b of the given right angle triangle using law of sines is; b = 12.044 m

The law of sines states that when we divide side "a" by the sine of angle A, it is equal to side "b" divided by the sine of angle B, and also equal to side "c" divided by the sine of angle C

Thus;

a/sin A = b/sin B = c/sinC

The parameters are;

B = 42°

c = 18m

Since c is the hypotenuse, it is the side that will be opposite the right angle and so;

C = 90°

Thus, using sine rule;

c/sinC = b/sin B

18/sin 90 = b/sin 42

b = (18 * sin 42)/1

b = 12.044 m

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In the given right-angled triangle, the sides are 21.3617 and 22.8815.

The given figure is a right-angled triangle. Hence, sides can be determined by using trigonometric function and/or the Pythagorean theorem. It is known that angle A = 69 and side b = 8.2. The side b is an adjacent side to angle A. Using the trigonometric function of tangent

tan Ɵ = opposite side/adjacent side

tan A = a/b

a = b tan A = 8.2 tan 69 ≈ 21.3617

As the two sides a and b are known, the remaining side c can be determined by using Pythagorean theorem,

Hypotenuse^2 = Opposite^2 + Adjacent^2

c^2 = a^2 + b^2

c^2 = (21.3617)^2 + (8.2)^2

c^2 = 523.3635

c =√523.3635

c ≈ 22.8815

Note: The question is incomplete. The complete question probably is: Use a calculator to find the length of each side to four decimal places. (Assume triangle ABC where side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse.) side length b = 8.2 and angle A = 69 degrees.

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The graph of this function will behave as (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.

The demand function is given by d = 100 - 10p. This means that the quantity demanded (d) decreases as the price (p) increases.

The slope of the demand function is the rate of change of the quantity demanded with respect to the price. In this case, the slope is -10, which is negative. This indicates that as the price increases, the quantity demanded decreases.

The initial value of the demand function is 100, which represents the quantity demanded when the price is zero. This means that the demand function intersects the y-axis at (0, 100).

Therefore, the correct answer is (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.

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The probability that at most 2 of the next 10 callers have to wait more than 8 minutes is the sum of the probabilities of 0, 1, or 2 callers having to wait for more than 8 minutes which is 0.810

The probability that at most 2 of the next 10 callers having to wait can be defined using the expression :

P(X ≤ 2) = P(0) + P(1) + P(2)

Using the individual probabilities given by the histogram attached :

P(X ≤ 2) = 0.181 + 0.345 + 0.284

P(X ≤ 2) = 0.810

Therefore, the probability that at most 2 callers have to wait more than 8 minutes is 0.810

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Answer:

The first step is to label the points being (1,2.3),(6,6.8) in which the first ordered pairs is the number of weeks, and the second one is the dollars in millions.

Hence, the slope is: m=(6.8-2.3)/(6-1) = 4.5/5 = 9/10 = 0.9

The slope represents the dollar rate in the millions per week. In this case, the movie grossed $0.9 million per week from week one to the sixth week.

Answer:

D. a = 11.71 and b = 15.56

General Formulas and Concepts:

Pre-Algebra

Trigonometry

Pre-Calculus

Step-by-step explanation:

Step 1: Define

AC = b

CB = a

AB = 7

m∠A = 45°

m∠B = 110°

m∠C = ?

Step 2: Find missing ∠

Step 3: Find measure of b

Step 4: Find measure of a

Answer:

Answer is D

Step-by-step explanation:

25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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Answer:

1/20

Step-by-step explanation:

1/5 chance she will wear the blue shirt on the first day and 1/4 chance she will wear a grey shirt on the second day.

1/5 X 1/4 = 1/20

Answer:

i got 1/20 as my answer

Answer: The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:

30% of $1199 = 0.3 x 1199 = $359.70

So, the discounted price is:

$1199 - $359.70 = $839.30

Next, we apply the additional 10% off coupon to this discounted price:

10% of $839.30 = 0.1 x $839.30 = $83.93

The final price after the coupon is applied is:

$839.30 - $83.93 = $755.37

Finally, we calculate the sales tax on this final price:

7% of $755.37 = 0.07 x $755.37 = $52.88

The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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1) Gathering the data

Preston

642 miles

38 miles/gallon

15 round trips

1 gallon = $2.48

2) Considering that each round trip consists of 642 miles

So Preston in 15 roundtrips is going to make

15 x 642 miles =9,630 miles

His car gets 38 miles per gallon. So we can write a proportion for that:

38 miles ---------1 gallon

9,630 miles ----- x

Cross multiplying it:

38x = 9,630 Divide by 38

x =9630/38

x=253.42 gallons

Finally, let's set another proportion to find out the cost of it

1 gallon -------------- $2.48

253.42 -------------- y

y= 253.42 x 2.48

y=628.4816

3) Rounding off to the nearest hundredth

$628. 48 That's how much Preston will spend.

Answer:

2

Step-by-step explanation:

I'm assuming that one x means one recipe. Two recipes require more than 2.5 cups but less than 4 cups.