A 12 ounce bottle of shampoo lasted Nina 8 weeks how long would an 18 once bottle of shampoo last her

Multiples of 4 up to 100: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100.

The multiples of 4 up to 100 are the numbers that can be divided evenly by 4 without having a remainder. To find the multiples, we start with 4 and keep adding 4 until we reach 100. Some of the multiples of 4 include 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100. These numbers can be used in a variety of mathematical applications, such as determining divisibility, solving problems involving multiples, or finding common factors between numbers.

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Answer:

1/9

Step-by-step explanation:

Probability  =  Expected outcome/Total outcome

From the given pi chart,

Total outcome = 360degrees (since the total angle in a circle is 360 degrees)

Since we to find the probability of scoring a 5, we can see that the angle when he scores a 5 is 40degrees, hence;

Expected outcome = 40degrees

Pr(scoring a 5) = 40/360

Pr(scoring a 5) = 1/9

Hence the probability of scoring a 5 is 1/9

Answer:

1/9

Step-by-step explanation:

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Divide the number of events by the number of possible outcomes.

The range of values for estimating the population correlation among all students is approximately 0.16 to 0.49.

To estimate the population correlation, we need to calculate the margin of error around the sample correlation coefficient using a confidence interval.

The formula for calculating the confidence interval for the correlation coefficient is:

r ± (z * SEr)

Where:

r is the sample correlation coefficient (0.34 in this case).

z is the critical value corresponding to the desired confidence level (95% confidence level corresponds to a critical value of approximately 1.96).

SEr is the standard error of the correlation coefficient, which is calculated as:

SEr = 1 / √(n - 3)

Where n is the sample size (40 in this case).

Plugging in the values:

SEr = 1 / √(40 - 3) = 1 / √37 ≈ 0.163

The margin of error is then:

z * SEr = 1.96 * 0.163 ≈ 0.319

we can construct the confidence interval by subtracting and adding the margin of error to the sample correlation coefficient:

0.34 ± 0.319 = (0.021, 0.659)

with 95% confidence, the range of values for estimating the population correlation among all students is approximately 0.16 to 0.49.

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The measure of variability that fits the description provided is the variance. Variance is calculated by taking the average of the squared deviations from the mean. It is commonly used for interval-ratio variables, which are variables with a meaningful numerical value and consistent intervals between values.

Variance provides a measure of how much the values in a dataset spread out around the mean. By squaring the deviations, both positive and negative differences from the mean are considered, and the squared values are averaged to obtain a single numerical value that represents the variability within the dataset.

The variance is a valuable tool for understanding the dispersion or spread of data in interval-ratio variables.

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The gateway arch in st. Louis, MO is approximately 630 ft tall, the same height of the Nickels would be in a stack is 98474.

Height of Gateway Arch in St. Louis, MO = 630ft tall

We are asked, how many nickels would be in a stack of the same

height when 1 nickel is 1.95 mm thick.

Convert height in ft to mm

1 ft = 304.8 mm

630ft = X

After Cross Multiply,

630ft × 304.8mm/1ft

= 192024 mm.

To find how many nickel would be in a stack of the same height

= Total thickness/ Thickness of 1 US dime

= 192024 mm/1.95mm

= 98473.8

≈98474 nickels

Therefore, the number of nickel that would be in a stack of the same height is 98474.

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A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.

In a right triangle, the hypotenuse is the longest side, the "opposite" side is the one that faces a particular angle, and the "adjacent" side is the one that faces that angle.

Step 1: Simplify both sides of the equation.

\($$4 g-6=8$$\\Step 2: Add 6 to both sides.$$\begin{aligned}& 4 g-6+6=8+6 \\& 4 g=14\end{aligned}$\\$Step 3: Divide both sides by 4 .$$\begin{aligned}& \frac{4 g}{4}=\frac{14}{4} \\& g=\frac{7}{2}\end{aligned}$$\)

\($g=3 \frac{1}{2}$\)

Therefore, the correct answer is option a)\($g=\frac{7}{2}$\).

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Answer:

A=50

Step-by-step explanation:

assuming you mean 100-A+20-70=0

you need to solve for A, which means add all your numbers together and isolate A.

-A+50=0

A=50

Answer:

The answer is 50 - a.

Step-by-step explanation:

1) Collect like terms.

\( - a + (100 + 20 - 70)\)

2) Simplify.

\(50 - a\)

Therefor, the answer is 50 - a.

P(X > 35) ≈ 0.384

To find the probability that a randomly selected passenger car gets more than 35 mpg given that the miles-per-gallon (mpg) ratings are normally distributed with a mean of 33.7 mpg and a standard deviation of 4.4 mpg, follow these steps:

1. First, calculate the z-score, which represents how many standard deviations away from the mean our target value (35 mpg) is:
  z = (X - μ) / σ
  z = (35 - 33.7) / 4.4
  z ≈ 0.295

2. Next, use a standard normal distribution (z) table or an online calculator to find the probability that corresponds to the z-score of 0.295. This gives you the probability of a car having 35 mpg or less.

3. Since we want to find the probability of a car getting more than 35 mpg, subtract the probability obtained in step 2 from 1:
  P(X > 35) = 1 - P(X ≤ 35)

Using a z-table or an online calculator, the probability for a z-score of 0.295 is approximately 0.616. Thus,

  P(X > 35) = 1 - 0.616
  P(X > 35) ≈ 0.384

So, the probability that a randomly selected passenger car gets more than 35 mpg is approximately 38.4%.

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Answer:

22

Step-by-step explanation:

Knowledge Needed

| | (absolute value) = Makes anything inside positive after solving.

A negative number multiplied or divided by another negative number is positive.

Question

Set up the equation

| -(-22) |

| 22 |

Stays positive.

22

(a) The position vector of the baseball at the time t is  <( 90cos(55).t), (90sin(55).t - 16t²)>

(b)  The velocity vector of the baseball at time t is <(90cos(55)), 90sin(55)>

(c) Hit is not a home run.

(d) At the time 4.455475 seconds, a baseball hit the fence.

What is the angle of elevation?

The angle of elevation is generated by the intersection of the horizontal line and the line of sight. If the line of sight is directed upward from the horizontal line, the resulting angle is an angle of elevation.

Here, we have

Given: A baseball leaves the bat at an angle of 55° from the horizontal traveling at 90 feet per second. A 20- foot fence boundary fence is 230 feet from the batter in a direct line where the ball is hit.

(a) At time t seconds horizontal distance traveled by the ball = μcos(θ).t

Horizontal distance x(t) = 90cos(55).t

Vertical distance =  μ.t = 1/2gt²

μ = 90sin(55).t, g = 32

Vertical distance y(t) = 90sin(55).t - 16t²

The position vector of the baseball at time t in the second :

S(t) = <( 90cos(55).t), (90sin(55).t - 16t²)>

(b) Horizontal component of velocity = 90cos(55)

The vertical component of velocity = 90sin(55)

Velocity vector = V(t) = <(90cos(55)), 90sin(55)>

(c) The horizontal distance of the fence = 230 feet

Height of fence = 20 feet

Horizontal distance= 230 = 90cos(55)t

t = 90cos(55)/230

t = 4.455475

Now, the vertical distance at time 4.455475 seconds

y(t) = 90sin(55)(4.455475) - 16(4.455475)²

= 10.854

baseball hit at the height of  10.854.

Hence, baseball didn't clear the fence, and it is not a home run.

(d) At the time 4.455475 seconds, a baseball hit the fence.

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Answer:

48cm³

Step-by-step explanation:

volume = (7 X 6 X 1) + (3 X 2 X 1)

= (42 + 6)

= 48cm³

Answer:

0.65 grams

Step-by-step explanation:

0.42 + 0.23 = 0.65

The total weight of both salt and pepper is 0.65 grams.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point.

Given that, you have 0.42 grams of salt and add 0.23 grams of pepper.

Total weight = 0.42+0.23

= 0.65 grams

Therefore, the total weight of both salt and pepper is 0.65 grams.

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Answer:

Unit rate of 50 miles per hour.

Step-by-step explanation:

We know that the car can travel 100 miles in 2 hours.

We can divide the 100 miles by how many hours there are to make it "per hour".

Showing you so it makes more sense...

100/2 = 100 ÷ 2

= 50

Double checking because why not...

50 x 2 (hours) = 100

Hope this helped. :)

Answer:

Imperfect substitutes

explanation:

The choices above are not perfect substitutes, meaning they can not be perfectly or directly replace the other. Imperfect substitutes are close substitutes but not perfect substitutes. Unlike perfect substitutes, imperfect substitutes satisfies same utility but has different characteristics and therefore not entirely substitutable. For example, while one may want to have the 40 marks too, he'd rather have 60 marks even if the criteria for a 60 mark score was increasingly hard.

Answer:

A isn't parallel but B is

Step-by-step explanation:

I believe A isn't parallel because it's supposed to have the same number but they're one off from each other

B is parallel because when you add the numbers they equal 180 and since they're opposite they'd have to equal 180 in order to be parallel

I hope this made sense :) if it didn't I can try to explain it again

Answer:

5:  a) No  b)Yes

Step-by-step explanation:

5a. You can know by the alternate interior angle converse thm.

The theorem says that if two interior alternate angle are the same then the lines are parallel.

5b.  You can know by the consecutive interior angles thm and the DLD thm.

First use the DLD thm to find the interior angles then use the connsectutive interior angles thm.

Step-by-step explanation:

Here is a tree diagram showing all possible shirt, pant, and shoe combinations for John:

```

+-------------+

| Shirts |

| (3 options) |

+-------------+

|

|

v

+-------------+

| Pants |

| (4 options) |

+-------------+

|

|

v

+---------------------------+

| Shoes |

| (2 options: boots or dress)|

+---------------------------+

|

|

v

+-----------------------------+

| All Possible Combinations |

| (3 x 4 x 2 = 24 options) |

+-----------------------------+

```

The tree diagram starts with the three options for shirts, then branches out to the four options for pants, and finally to the two options for shoes (boots or dress shoes). Multiplying the number of options at each stage gives us the total number of possible combinations, which is 3 x 4 x 2 = 24.

Answer:

subtract 6 from both sides

I got it right so it must be right :)

Answer:

The first step would be to subtract 6 from both sides.

Step-by-step explanation:

The values of x for which the function f(x) = x³ + 3x² - 9x + 7 is increasing are (-∞, -3) and (1, +∞).

To find the values of x for which the function f(x) = x³ + 3x² - 9x + 7 is increasing, we need to take the derivative of the function and determine where the derivative is positive.

f(x) = x³ + 3x² - 9x + 7

f'(x) = 3x² + 6x - 9

To find where f(x) is increasing, we need to find the values of x where f'(x) > 0.

3x² + 6x - 9 > 0

Simplifying this inequality, we get

x² + 2x - 3 > 0

Factoring the left side of the inequality, we get

(x + 3)(x - 1) > 0

The critical points of f(x) occur when f'(x) = 0 or when the denominator of f'(x) is undefined. The denominator of f'(x) is always defined, so we only need to find where f'(x) = 0

3x² + 6x - 9 = 0

Dividing both sides by 3, we get

x² + 2x - 3 = 0

Factoring the left side of the equation, we get

(x + 3)(x - 1) = 0

So the critical points of f(x) are x = -3 and x = 1.

Now we can use a sign chart to determine the intervals where f'(x) > 0.

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The given question is incomplete, the complete question is:

What are all values of x for which the function f is defined by f(x)= x³ +3x² -9x +7 is increasing?

Answer: A = 40°, Angle B = 60° and Angle C = 80°. The angles sum to 180°, so at least one triangle may be drawn.

Step-by-step explanation: Did this help

Answer:

Most simplified fraction from = 1/12

Decimal form = 0.08(3 repeating)

To answer this question, we need to use a system of equations. Let's call the number of pounds of type A coffee "a" and the number of pounds of type B coffee "b".

We know that Carmen made a total of 166 pounds of the blend, so:

a + b = 166

We also know that the total cost of the blend was $855.75. To find the cost, we need to multiply the cost per pound of each type of coffee by the number of pounds used:

4.5a + 5.95b = 855.75

Now we have two equations with two variables, which we can solve using substitution or elimination.

Let's use substitution. We can solve the first equation for "a":

a = 166 - b

Now we can substitute that into the second equation:

4.5(166 - b) + 5.95b = 855.75

749.5 - 4.5b + 5.95b = 855.75

1.45b = 106.25

b = 73

So Carmen used 73 pounds of type B coffee in the blend. To find out how many pounds of type A coffee she used, we can plug that value back into either equation:

a + 73 = 166

a = 93

Therefore, Carmen used 93 pounds of type A coffee and 73 pounds of type B coffee to make the blend

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To answer this question, we need to use a system of equations. Let's call the number of pounds of type A coffee "a" and the number of pounds of type B coffee "b".

We know that Carmen made a total of 166 pounds of the blend, so:

a + b = 166

We also know that the total cost of the blend was $855.75. To find the cost, we need to multiply the cost per pound of each type of coffee by the number of pounds used:

4.5a + 5.95b = 855.75

Now we have two equations with two variables, which we can solve using substitution or elimination.

Let's use substitution. We can solve the first equation for "a":

a = 166 - b

Now we can substitute that into the second equation:

4.5(166 - b) + 5.95b = 855.75

749.5 - 4.5b + 5.95b = 855.75

1.45b = 106.25

b = 73

So Carmen used 73 pounds of type B coffee in the blend. To find out how many pounds of type A coffee she used, we can plug that value back into either equation:

a + 73 = 166

a = 93

Therefore, Carmen used 93 pounds of type A coffee and 73 pounds of type B coffee to make the blend

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The first quartile is always equal to one of the values in the sample when the sample size is a multiple of 4.

This is because the first quartile is the median of the lower half of the data set, and when the sample size is a multiple of 4, there is anThe first quartile is always equal to one of the  valuesin the sample when the sample size is a multiple of 4. This is because the first quartile is the median of the lower half of the data set, and when the sample size is a multiple of 4, there is an even number of values in the lower half of the data set. Therefore, the first quartile will be one of the values in the sample. For example, if the sample size is 8, the first quartile will be the median of the first 4 values, which will be one of the values in the sample.

In summary, the first quartile is always equal to one of the values in the sample when the sample size is a multiple of 4. of values in the lower half of the data set. Therefore, the first quartile will be one of the values in the sample. For example, if the sample size is 8, the first quartile will be the median of the first 4 values, which will be one of the values in the sample.
In summary, the first quartile is always equal to one of the values in the sample when the sample size is a multiple of 4.

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The duration Eudora spent running and the duration she spent using her jetpack, obtained from the equations of motion are;

The equations of motion describe the motion of an object with respect to time duration of the motion.

The speed with which Eudora ran = 12 km/h

The speed with which she flew with her jetpack = 76 km/h

The distance of the entire trip = 120 kilometers

Let x represent the distance Eudora ran and let y represent the distance Eudora flew, we get;

The equations of motion indicates; Time, t = Distance/Speed

Therefore;

The time Eudora spent running + The time she flew = The total time = 2 hours

The time she spent running = x/12

The time she spent flying = y/76

Therefore we get the following system of equations;

x/12 + y/76 = 2...(1)

x + y = 120...(2)

Therefore;

y = 120 - x

Pluf

x/12 + (120 - x)/76 = 2

(4·x + 90)/57 = 2

4·x + 90 = 2 × 57 = 114

4·x = 114 - 90 = 24

x = 24/4 = 6

x = 6

y = 120 - x

y = 120 - 6 = 114

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The velocity, acceleration, and speed of the particle are
v(t) = 2ti + 2j + (7/t)k, a(t) = 2i - (7/t^2)k, s(t) = √((4t^4 + 4t^2 + 49) / t^2) respectivelty.

To find the velocity, acceleration, and speed of a particle with the given position function, we can differentiate the position function with respect to time. Let's go step by step:

1. Position function:
The given position function is r(t) = t^2i + 2tj + 7ln(t)k.

2. Velocity:
To find the velocity, we need to differentiate the position function with respect to time.
Velocity (v) is the derivative of position (r) with respect to time (t).

Taking the derivative of each component of the position function:
d/dt (t^2) = 2t
d/dt (2t) = 2
d/dt (7ln(t)) = 7/t

So, the velocity function (v) is:
v(t) = 2ti + 2j + (7/t)k

3. Acceleration:
To find the acceleration, we need to differentiate the velocity function with respect to time.
Acceleration (a) is the derivative of velocity (v) with respect to time (t).

Taking the derivative of each component of the velocity function:
d/dt (2t) = 2
d/dt (2) = 0
d/dt (7/t) = -7/t^2

So, the acceleration function (a) is:
a(t) = 2i + 0j - (7/t^2)k
or simply,
a(t) = 2i - (7/t^2)k

4. Speed:
The speed of a particle is the magnitude of its velocity vector.
The magnitude of a vector is found using the Pythagorean theorem.
For the velocity function v(t) = 2ti + 2j + (7/t)k, the magnitude of v(t) is:

|v(t)| = √((2t)^2 + (2)^2 + (7/t)^2)
      = √(4t^2 + 4 + 49/t^2)
      = √((4t^4 + 4t^2 + 49) / t^2)

Therefore, the speed function (s) is:
s(t) = √((4t^4 + 4t^2 + 49) / t^2)

This is the velocity, acceleration, and speed of the particle with the given position function.

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When we have a number followed by the "%" it means that this number is divided in 100 parts, so we can represent it with a fraction as shown below:

In order to determine the percentage of ice cream that was sold, we need to multiply the fraction above by the initial amount they had. This is done below:

They sold 49.14 gallons.