gregory has a coupon for $1 off the purchase of 3 boxes of munchie brand cereal. the store has 5 different varieties of munchie brand cereal. how many ways can gregory choose 3 boxes of cereal?

The inequality which can be used to determine x, the number of 60 kilogram crates that can be loaded into the shipping container is

60x ≤ 9900 where x is less than or equal to 165

What is an Inequality?

Inequalities are the mathematical expressions in which both sides are not equal.

In inequality, unlike in equations, we compare two values.

The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

According to the given question:

The greatest weight that can be loaded into the container is 24500 kilograms.

Other shipments weighing 14600 kilograms have already been loaded into the container.

24500 - 14600 = 9900 kg can be the weight of 60 kg containers

Now, the number of 60 kilogram crates that can be loaded into the shipping container can be represented as

                                            60x ≤ 9900

where x is number of 60 kg containers

Solving for x we get

x ≤ 165

To know more about inequality visit

https://brainly.com/question/17675534

#SPJ1

The average speed is 54 miles per hour.

What is average ?

In plain English, an average is one number chosen to represent a list of numbers. It is often calculated by dividing the total number of numbers in the list by the number of numbers in the list. As an illustration, the sum of the integers 2, 3, 4, 7, and 9 is 5.

The definition of the average is the mean value, which is the ratio of the sum of the values in a given set to the total number of values in the set.

The formula for distance is

Distance = Rate × Time

Total distance = 50 × 3 + 60 × 2 = 270

Total time = 3 + 2 = 5

Using the formula:

[tex]Speed = \frac{Distance}{Time}[/tex]

       = 270 / 5

       = 54

To learn more about average from the given link

https://brainly.com/question/20118982

#SPJ4

There is no sufficient evidence to indicate the true standard deviation is less than 4000

What is standard deviation ?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.

given that n = 16

x = 60139.7

s = 3718.06

∝ = 0.05

To test the hypothesis

H0 : = 4000

H1 :  < 4000 (claim)

test statistics

x² = ((n-1)s²) / H0²

   = (15 * 13823970.16) / (16000000)

   = 12.96

P- value = P [x² < 12.96]           DF = n-1 = 15

             = 0.3946

0.1 < P-value <0.5

To learn more about standard deviation from the given link  

https://brainly.com/question/475676

#SPJ4

Answer:x=6

Step-by-step explanation:You can simplify as 0 is worh nothing so it would be just 6

An equilateral △ABC with a side length of 2 cm is placed on top of a square BCDE to form a pentagon. A circle is drawn including points A, D, and E. And the radius of this circle is found to be 2 cm.

A triangle is said to be equilateral if all three of its sides are the same length and each of its three angles measures 60 degrees.

The given triangle is equilateral with a side length of 2cm. This triangle is on the top of a square BCDE. The circle circumscribes through the A, D, and E of the given shapes.

Using the given details, first, draw the diagram. Let H is the circumcenter of ADE. In the diagram, draw the altitude of AG passing through the circumcenter and square as GF.

From the diagram, let GH be x.  The side of the triangle is 2 cm and the altitude cut it into two equal halves. Then, BG=EF=1 cm, HF=2-x, and HE=x+√3

[tex]\begin{aligned}\sin \theta &= \frac{AG}{AB}\\\sin 60^{\textdegree} &=\frac{AG}{2}\\\frac{\sqrt{3}}{2}&=\frac{AG}{2}\\AG&=\sqrt{3}\end{aligned}[/tex]

By Pythagoras' theorem, from ΔHEF,

[tex]\begin{aligned}HE^{2}&=HF^{2}+EF^{2}\\\left(x+\sqrt{3}\right)^2&=(2-x)^2+1^2\\x^2+3+2\sqrt{3}x&=4-4x+x^2+1\\(4+2\sqrt{3})x&=5-2\\x&=\frac{2}{4+2\sqrt{3}}\\&=\frac{2}{2(2+\sqrt{3})}\times\frac{2-\sqrt{3}}{2-\sqrt{3}}\\&=\frac{2-\sqrt{3}}{4-3}\\&=2-\sqrt{3}\end{alinged}[/tex]

The radius of the circle (HE) is 2-√3+√3=2.

The answer is 2 cm.  Therefore, option C is correct.

To know more about Pythagoras' theorem:

https://brainly.com/question/343682

#SPJ4

A gas station is open 365 day a year, 24 hours a day. If the gas station served 40,000 cups of coffee last year, then it served an average of 5 cups of coffee per hour.

The problem can be solved using the average value approach.

Average value = total amount or sum of data / number of data

In the given problem,

total amount = total coffee served last year

total amount = 40,000

number of data = number of hours in a year

number of data = 365 day/year x 24 hours/day = 8760 hours

Hence,

Average value = total amount or sum of data / number of data

                         = 40000 / 8760

                         = 4,6 ≈ 5 (round to the nearest whole cup)

Hence, the average coffee served is 5 cups per hour.

Learn more about average here:

https://brainly.com/question/28254231

#SPJ4

Answer:

h = -3y + 2x

Step-by-step explanation:

Add 4x to both sides of the equation.

2h = −6y + 4x

Divide each term in 2h = −6y + 4x by 2 and simplify.

Divide each term in 2h = −6y + 4x by 2.

2h/2 = -6y/2 + 4x/2

Simplify the left side.

h = −6y/2 + 4x/2

Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.

h = -3y+2(2x)/2

Cancel the common factors.
Factor 2 out of 2.

h = -3y+2(2x)/2(1)
Cancel the common factor

h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1

Divide 2x by 1.
h = -3y + 2x

hopefully its right LOLZ

The farm's 11 tons of watermelon will have a 92% confidence interval mean cash value of $148.89, which is within the margin of error.

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings. Simply said, you may determine the degree of unpredictability in data and study results using the margin of error. Your findings will vary from the actual population figure by how many percentage points, as shown by the margin of error. A 95% confidence interval with a 4% margin of error, for instance, indicates that your statistic will, 95% of the time, be within 4% of the true population figure.

Here,

n = 38

x = 6.88

= 1.86

= 1-.90

= .10

/2 = .05

z(/2) = -1.64

-z(/2) = 1.64

P(-1.645 < z < 1.645) = .90

Margin of error= z(/2)(/√n)

= 1.645(1.86/√38)

= $.4963(300)

= $148.89  

The margin of error for a farm brings 11 tons of watermelon to market with 92% confidence interval for the population mean cash value of this crop will be $148.89.

To know more about margin of error,

https://brainly.com/question/10501147

#SPJ4

Answer:

53

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Convert both mixed numbers to improper fractions:

7 1/12= 85/12

1 3/5= 8/5

Multiply:

84 x 8 = 680

12 x 5 = 60

As a fraction:

680/60

Simplified:

11 1/3 ft. of paper needed

The predicted amount of an unstable element that is left after 6 years is 5.46 grams.

For the stated question-

The equation for the least-squares regression line, is;

In(Element) = 2.305 -0.101(Time)

Amount of unstable element left after time t = 6 years.

In (Element) = 2.305 -0.101(6)

ln (Element) = 1.699

(Element) = e¹°⁶⁹⁹

(Element) = 5.46

Thus, the predicted amount of an unstable element that is left after 6 years is 5.46 grams.

To know more about the least-squares regression line, here

https://brainly.com/question/14563186

#SPJ1

Answer:

1.07 maybe... don't trust me on that

Answer:

x = -6

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.

We can write the following equation based on this information to calculate value of x:

64 + 27 = 97 + x

91 = 97 + x

91 - 97 = 97 - 97 + x

-6 = x

The total proportion of shirts between two prices is 0.9431, which is obtained using the knowledge of proportion and statistics.

What is proportion?

In mathematics, a proportion is defined as the comparison between two numerical quantities. If both possess the same nature, they are called directly proportional, or else called inversely proportional.

Calculation of the proportion based on the problem

The mean and standard deviation are given to be 45 and 5 respectively

Calculate standard normal variate using the formula, z = (x - 45) / 5

Taking x = 37, we get,

z1 = (37 - 45) / 5

= -1.6

Using the z table, we get the value, z1 = 0.0548

Now, taking x = 59.35, we get,

z2 = (59.35 - 45) / 5

= 2.87

Using the z table, we get the value, z2 = 0.9979

The proportion between two prices is given by z = z2 - z1

z = 0.9979 - 0.0548

= 0.9431

Hence, the proportion of shirts between the two prices is 0.9431.

learn more about proportion here:

brainly.com/question/870035

#SPJ4

[tex] \frac{2}{5} + \frac{2}{3} = \\ lcm \: of \: 5 \: and \: 3 \: is \: 15 \: so \\ \frac{6 + 10}{15} = = \: \frac{16}{15} [/tex]

Therefore, the answer is

[tex]{ \red{ \sf{ \frac{16}{5}}}}[/tex]

[tex]\colorbox{pink}{\blue{ \boxed{ \tt{ hope \: it \: helps \: you}}}}[/tex]

Step-by-step explanation:

[tex]{ \blue{ \sf{ \frac{2}{5} + \frac{2}{3}}}}[/tex]

If you take the Lowest Common Multiple (L.C.M.) you will get 15.

[tex]{ \blue{ \sf{ \frac{6+10}{15}}}}[/tex]

[tex]{= \blue{ \sf{ \frac{16}{15}}}}[/tex]

The correct option is . D) Her IQ score is above the majority of the population types of intelligence.

IQ is an abbreviation for intelligence quotient. IQ tests are used to assess people's intellectual abilities and potential. They are intended to test a wide range of cognitive abilities, including reasoning, logic, and problem-solving.

It's a test of intelligence, which you're born with. It is not a test of knowledge that represents what you learn in school or through life experience.

Amber's mental age = 14

Amer's age = 10

Then her IQ can be calculated by

[tex]IQ=\frac{mental\ age}{chronological\ age}*100=\frac{14}{10}*100=140[/tex]

Average IQ of majority of population is between 85 to 115.

Only small percentage of population has IQ score higher than 130.

It means Amber's IQ score is above the majority of the population.

To learn more about fractions refer here

https://brainly.com/question/10354322

#SPJ4

Step-by-step explanation:

If there are 2 points (a,b) and (c,d),

then the slope = (d - b)/(c - a) = (b - d)/(a - c)

Therefore slope = (10 - 4)/(4 - 2) = 6/2 = 3

The point-slope form of a line is

y = mx + b, where m is the slope and b is the y-intercept Substituting either point (2,4) or (4,10) into the equation is fine.

(4) = (3)(2) + b

4 = 6 + b

b = 4 - 6 = -2

y = 3x - 2

Or

(10)=(3)(4) + b

10 = 12 + b

b = 10 - 12 = -2

y = 3x - 2

The equation that represents the proportional relationship in this graph is y = 2 / 7 x.

Two variables have a proportional relationship if all the ratios of the variables are equivalent.

A proportional relationship is one in which two quantities vary directly with each other.

We say the variable y varies directly as x if:  

for some constant k , called the constant of proportionality .

Therefore, the variables in this case are y and x.

Hence, let's find k using the coordinates on the graph

(0.7, 0.2)

0.2 = k (0.7)

k = 0.2 / 0.7

k = 2 / 7

Hence,

y = 2 / 7 x

learn more on proportional relationships here: https://brainly.com/question/20213987

#SPJ1

The polygon ABCD and polygon EFGH are congruent polygons.

A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons, etc

Here,
Consider two polygons,
ABCD and EFGH,
As given in the figure,
AB = EF,
AD = EH
∠A = ∠E
∠D = ∠H
ABCD ≅ EFGH,

Thus, Congruent polygons are polygons ABCD and EFGH.

Learn more about polygon here:
https://brainly.com/question/24464711
#SPJ1

The equation used to determine the value of x for the length of a square side is:  4 x = 3 (x 1).

The given condition are-

Perimeter of square = 4x

Equilateral triangle perimeter = 3(x 1)

Equating both by the condition-

4x = 3(x 1)

Thus, the equation used to determine the value of x for the length of a square side is:  4 x = 3 (x 1).

To know more about the equilateral triangle, here

https://brainly.com/question/2351368

#SPJ4

Answer: -9

Step-by-step explanation: To find the value of u, we can use the slope formula to calculate the slope of the line that goes through the points (9, u) and (10, -1). The slope formula is: slope = (y2 - y1)/(x2 - x1). In this case, we have: slope = (-1 - u)/(10 - 9) = (-1 - u)/1. Since the slope of the line is given as 8, we can set this equal to the value we calculated above and solve for u. This gives us: 8 = (-1 - u)/1. Multiplying both sides by 1 gives us: 8 = -1 - u. Adding 1 to both sides gives us: 9 = -u. Finally, negating both sides gives us: u = -9. Therefore, the value of u is -9.

The Null hypothesis and alternative hypothesis for the given sample of cell phone spent time data of 32 randomly selected adults during lockdown and pre-pandemic times are,

                           H₀ : μd = 0 and Hₐ : μd > 0

Correct option is option (d).

To decide whether a hypothesis should be accepted or rejected, statisticians utilize formal, planned procedures known as hypothesis testing. Hypothesis testing is the process of choosing hypotheses for a specific probability distribution based on observable evidence.

Given:

A study obtained time data of 32 randomly selected young adults spent on their cell phones pre-pandemic and then during the lockdown phase of the pandemic. let us consider,

L --> time spent on cell phone by adults during lockdown

P --> time spent on cell phone by adults at pre pandemic time

and                       d = L- P

we want to perform a hypothesis testing on this sample .

The samples are dependent because same adults are being sampled before and after the lockdown.

Also, we need to test if mean time after is higher than mean time before so this is a right tailed test. Hence,

The correct hypotheses will be:

                                   H₀ : μd= 0

                                     Hₐ : μd> 0

Hence, option D is the correct option.

To learn more about Hypothesis testing :

brainly.com/question/29690266

#SPJ4

Answer:

85%

Step-by-step explanation:

Hope it helps!

Answer:

85%

Step-by-step explanation:

51/60=.85=85%

Answer:

72.13

Step-by-step explanation:

If you bought a stock last year for a price of $79, and it has gone down 8.7% since then, how much is the stock worth now, to the nearest cent?​

The required answer are according to the following order,

a) France;

25/60 × 360/1 = 150°

b) Spain;

18/60 × 360/1 = 108°

c) Greece;

15/60 × 360/1 = 90°

d) Other;

2/60 × 360/1 = 12°

What do you mean by sum of angles?

We know that the sum of angles in a triangle is 360°. The question requires us to find the angle that corresponds to each of the given holiday destinations. We shall now proceed as follows:

The angle subtended is obtained from number of people that chose a particular location.

a) France;

25/60 × 360/1 = 150°

b) Spain;

18/60 × 360/1 = 108°

c) Greece;

15/60 × 360/1 = 90°

d) Other;

2/60 × 360/1 = 12°

To learn more about sum of angles, visit:

https://brainly.com/question/28448363?referrer=searchResults

#SPJ4

Answer:

x3=5x+e3x+2−17

This is the best I can do :D

The number of bacteria in the petri dish after 24 hours will be y = 125 + 24x

Given is Gina was working in the laboratory on an experiment involving the population of bacteria. Her initial starting amount in a petri dish was 125 bacteria.

Assume that each hour the bacteria rises by [x] bacteria per hour. Then,

the number of bacteria in the petri dish after 24 hours will be -

y = 125 + 24x

Therefore, the number of bacteria in the petri dish after 24 hours will be y = 125 + 24x.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ1

The COUNTIF function is used to compute the number of times a particular condition is satisfied within a given range of cells.

It is an excel statistical function, which is used to count the number of cells that meet a criterion. To determine how many cells in the worksheet contain a number higher than or less than the one specified, the countif formula is used.

It is typed =COUNTIF

1. Select a cell

2. Type =COUNTIF

3. Double-click the COUNTIF command

4. Select a range

5. Type

,6. Select a cell (the criteria, the value that you want to count)7.

Hit enter Hence the answer is COUNTIF

Learn  more about COUNTIF :

brainly.com/question/28170416

#SPJ4

Answer:85%

Step-by-step explanation:

51 is what percent of 60 is equal to (51 / 60) x 100 = 85%. So if you buy an item at $60 with $51 discounts, you will pay $9 and get 85% discount cashback rewards. So 51 out of 60 as a percentage is 85%

Answer:

C -5 + (-15)

Step-by-step explanation:

-5 - 15 = -20

A -15 - (-5) = -15 + 5 = -10

B -5 + 15 = 10

C -5 + (-15) = -20

D -15 + 5 = -10

Answer:

c; -5+(-15)

Step-by-step explanation:

-5-15=-20

adding a negative number is subtraction, which means;

-5+(-15)=-20

therefore

-5-15=-20=-5+(-15)

The step which Sammy should complete first in a bid to solve the equation is; subtraction 8 from both sides of the equation.

It follows from the task content that the step which Sammy should complete first in a bid to solve the equation.

Since the given equation is;

x/2 + 8 = -24

Therefore, in a bid to solve the equation; the first step which Sammy must complete first in a bid to solve the equation is;

Subtract 8 from both sides of the equation; so that we have;

x/2 = -24 -8

x/2 = -32

Read more on solving equations;

https://brainly.com/question/25678139

#SPJ1