Sara solved the inequality -4x + > 9 and graphed the solution set. She made a mistake but cannot determine where. Her work is shown

Answer:

9/2

Step-by-step explanation:

X/2+1=5x

(X+2)/2=5x

x+2=10x

2=9x

X=9/2

y= -4/3=-1.333

y= 5/2=2.500

The a < 6 or a>-9 compound inequality is different than the rest as it involves one interval instead of a reunion of two intervals.

A phrase having two inequality statements connected by the words "or" or "and" is referred to as a compound inequality. The conjunction "and" denotes the simultaneous truth of both truths in the compound phrase. It is when the solution sets for the various assertions to cross over or intersect.

When the word and is used to connect two inequalities, the compound inequality is solved when both inequalities are true at the same time. It is the intersection or overlap of each inequality's solutions.

1)(−∞,−3)∪(4,∞)

2)(−∞,−2)∪(8,∞)

3)(−∞,−5)∪(7,∞)

4)(−∞,6)∪(−9,∞)=(−9,6)

The fourth compound inequality is different than the rest as it involves one interval instead of a reunion of two intervals.

To know more about compound inequality, visit:

https://brainly.com/question/29004091

#SPJ1

The term for this kind of sample is cluster sampling

Given

that, At a major ten university, 200 of the 30,000 undergraduate students and 100 of the 5,000 graduate students are chosen to represent a sample of student opinion.

What is cluster sampling ?

Cluster sampling involves breaking up a population into smaller units called clusters. Then, they randomly select a sample from each of these clusters. Cluster sampling is a probability sampling technique that is frequently used to examine large populations, especially those that are widely geographically dispersed.

Researchers frequently refer to pre-existing groups like cities or schools when referring to clusters. With an SRS of 200 students and an SRS score of 100, clusters have been utilized in this instance. Cluster sampling is the name given to this type of sample as a result.

Learn more about cluster sampling:

brainly.com/question/14937422

#SPJ4.

Answer:   14.4g of onion powder

Step-by-step explanation:   To get 20% of a number, you need to divide the original amount by 5, so 72 ÷5 is 14.4g

They should include 14.4 grams of onion powder in a bottle.

Given that, a seasoning blend is 4% onion powder, by mass.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let x be the seasoning blend.

Now, 4% of 72=20% of x

⇒ 0.04×72=0.2×x

⇒ 0.2x=2.88

⇒ x=2.88/0.2

⇒ x=14.4 g

Hence, they should include 14.4 grams of onion powder in a bottle.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

Answer:

b.  12, 17, 23

Step-by-step explanation:

Look at the differences between the numbers.

Number   Difference

2                  

3                      1

5                      2

8                      3    The difference increase by 1 at each step.  The next 3 increase would be:

                        4

                        5

                        6

The next three numbers are:

12                       4

17                        5

23                       6

Answer:

b.

12, 17, 23

Step-by-step explanation:

Answer:

600ml

Step-by-step explanation:

The expected value of the number of albino panthers is 5

The standard deviation of the number of albino panthers is 2.09

Given that albino panther is born once every 8 years, probability p, of one albino to be born in 8 years is 1/8

Expected value=n*p, where n is 40 years, and p=1/8

                        =40*1/8

                        =5 albino panthers

Hence, the expected value is 5 albino panthers

Standard deviation=(Expected value*(1-p))^1/2

                               =(5*(1-1/8))^1/2

                               =4.375^1/2

                               =2.09

Hence, standard deviation is 2.09

To learn more about expected value and standard deviation; click here:

https://brainly.com/question/22247668

#SPJ4

Answer:

b = 8 ft

Step-by-step explanation:

Formula we use,

→ (AC)² = (BC)² + (AB)²

Now the value of a will be,

→ (10)² = b² + (6)²

→ 100 = b² + 36

→ b² = 100 - 36

→ b = √64

→ [ b = 8 ft ]

Hence, value of b is 8 ft.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance.

A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2. A noun that counts. When two or more components must be taken into account collectively in order to comprehend or describe the overall situation, this is known as an equation.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

X2+Y2 =53

= 53 + (50-1)(-4)

= 53-196

= -143

To learn more about Equation refer to:

https://brainly.com/question/2972832

#SPJ13

Less than 10 attempts were successful in this situation. due to the fact that 5 is less than 10. The data does not satisfy the requirement as a result.

Because the data don't fit the success or failure criteria, it is not appropriate to adopt a normal model for the sampling distribution of the sample.

50 students make up the sample. The likelihood that she assumes 10% of the class will attend is 10%. It will be demonstrated by:

1 - p = 1 - 10%

⇒ 1 - 0.10 = 0.90

np = 50 × 0.1

np = 5

This suggests the number of victories.

In this case, fewer than 10 efforts have been successful. Since 5 is less than 10, this is the situation. The data does not meet the criteria as a result.

To know more about Sampling, refer to this link:

https://brainly.com/question/24466382

#SPJ4

Answer: D

Step-by-step explanation:

Answer:   Choice D

[tex]x = \frac{-3\pm\sqrt{-19}}{2}\\\\[/tex]

==================================================

Explanation:

Compare the given equation x² + 3x + 7 = 0 to ax² + bx + c = 0 to find that,

Those values are plugged into the quadratic formula to get the following:

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-3\pm\sqrt{(3)^2-4(1)(7)}}{2(1)}\\\\x = \frac{-3\pm\sqrt{-19}}{2}\\\\[/tex]

which points us to choice D being the final answer.

--------------

Side note:

The discriminant [tex]d = b^2 - 4ac = (3)^2-4(1)(7) = -19[/tex] is negative, so there are no real solutions. Instead, the two solutions are non-real complex numbers.

Answer:

Slope = -2

Step-by-step explanation:

Slope of Line passes through two Points [tex](x_{1},y_{1} )[/tex] and [tex](x_{2},y_{2} )[/tex]

is given by [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

So by Substitution

[tex]m=\frac{-6- 2 }{-1 - (-5)}=\frac{-8}{4} =-2[/tex]

The equation of the line that passes through the points (6,2) and (7,1) is y = -x+8

The points are

(6,2) and (7,1)

The slope of the line is the change in y coordinate with respect to the change in x coordinate of the function.

The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the value in the equation

The slope of the line = (1-2) / (7-6)

= -1/1

=-1

The point slope form is

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

Choose one point and substitute the values in the equation

y-2 = -1(x-6)

y-2 = -x+6

Move the 2 to right hand side of the equation

y = -x+6+2

y = -x+8

Hence, the equation of the line that passes through the points (6,2) and (7,1) is y = -x+8

Learn more about point slope form here

brainly.com/question/24436844

#SPJ1

The distance between points  (-3,-4) and (2,8) is 13.

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees, or it follows Pythagoreans theorem.

The horizontal distance = 5

And the vertical distance = 12

The vertical and horizontal lines make a right angle when they meet,

To find distance between points, use Pythagoreans theorem,

(D)² = (5)²+(12)²

(D)² = 25 + 144

(D)² = 169

D = 13

The distance between points  (-3,-4) and (2,8) is 13.

To know more about Triangle on :

https://brainly.com/question/2773823

#SPJ1

The rules for the rotation and translation for the rectangle RSTU is:

Rotation: (x,y) ↔ (-y,x)

Translation : (x,y) ↔ (x+k , y)

Given,

we have rectangle R'S'T'U' which is the image of the rectangle RSTU under a rotation 90° counterclockwise about the origin followed by a translation.

we are asked to determine the rule of rotation and translation.

Rotation :

Our point A(x,y) becomes A' when a point is rotated 90 degrees counterclockwise about the origin (-y,x).

so the rule is:

Rotation: (x,y) ↔ (-y,x)

Translation:

When the shape is moved towards the right by k units, then replace x with x + k.

let's check:

R(-6,3) ↔ 90° counterclockwise rotation ↔ (-3,-6) ↔ translation↔R'(-3+9,-6) → R'(6,-6)

S(-4,7) ↔ 90° counterclockwise rotation ↔ (-7,-4) ↔ translation↔S'(-7+9,-4) → R'(2,-4)

Hence we get the required rules for sequences of congruence transformations.

Learn more about Transformations here:

brainly.com/question/2387958

#SPJ9

The variance of the number of packages that will be filled before the process is stopped will be 600 when the probability of falling outside the specification is 0.04.

Variability is measured by the variance. The average of the squared deviations from the mean is used to calculate it. The degree of spread in your data set is indicated by variance. The variance is greater in relation to the mean the more dispersed the data. In statistics, the variance is used to assess how accurately the mean summarizes all of the data. For instance, more range exists within the set the higher the variance. 

P(fail)=0.04

P(pass)=0.96

variance=(1-P)/P²

=(1-0.04)/0.0016

=0.96/0.0016

variance=600

When the likelihood of falling outside the specification is 0.04, the range of packages that will be filled before the process is stopped is 600.

To know more about variance,

https://brainly.com/question/16269880?referrer=searchResults

#SPJ4

Sherry needs to invest $2000 in a mutual fund that earns 1% interest a year and $13200 in a mutual fund that earns 4% interest a year.

According to the question,

We have the following information:

Amount to be invested = $15200

Interest earned 1% a year and 4% a year

Total amount interest to be earned at the end of first year = $548

Now, let's take the amount to be invested in 1% interest a year's mutual fund to be $x.

Then, we have the amount to be invested in mutual fund that earns 4% a year:

$(15200-x)

So, we have the following expression by removing percentage sign:

x/100 + (15200-x)4/100 = 548

Taking 100 as the least common factor and using the cross multiplication method:

x+60800-4x = 548*100

-3x = 54800-60800

-3x = -6000

x = 6000/3

x = $2000

Now, the amount invested in second mutual fund:

15200-2000

$13200

Hence, Sherry needs to invest $2000 in a mutual fund that earns 1% interest a year and $13200 in a mutual fund that earns 4% interest a year.

To know more about interest here

https://brainly.com/question/13655754

#SPJ1

This relationship is not a function because more than one amount of plant food remains each day.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that, Ryan did an experiment by observing the effects of plant food and the growth of the sprouting bean plant. He made a note of the height of the bean plant and the amount of food remaining in the container for the plant after feeding each day.

Thus, he observed that the plant food in the container decreases by an equal amount every day as the bean plant grew. Thus, this states that it is not a  function between the two, as there are more than one plant food remaining each day for the plant.

Hence, This relationship is not a function because more than one amount of plant food remains each day.

For more references on Functions, click;

https://brainly.com/question/21145944

#SPJ1

f(x+9) = 3x + 26.

Given equation:

f(x)=3x-1

f(x+9) = 3(x+9) - 1

= 3x + 3*9 - 1

= 3x + 27 - 1

= 3x + 26.

Therefore f(x+9) = 3x + 26.

Learn more about the equation here:

https://brainly.com/question/10413253

#SPJ1

The value is 350.

From the question, we have

Dan uses the equation g(x)=5x+50 to model the balance of his savings account after saving for x weeks.

g(x)=5x+50

substituting the value x = 60, we get

g(60)=5*60+50

=300+50

=350

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

To learn more about multiplication visit: https://brainly.com/question/5992872

#SPJ9

The car that is 16 feet long has a length of 8 inches on the scale.

Scale is used to represent the relationship between a measurement on a model and the corresponding measurement on the actual object.

Therefore, the particular car is 16 feet long. A model of it was built with a scale of 1 in: 2 ft. The length of the car can be found as follows:

2 feet = 1 inches

16 feet = ?

cross multiply

length of the model car = 16 / 2

Therefore,

length of the model car =  8 inches

learn more on scale here: https://brainly.com/question/20143411

#SPJ1

The equation of the linear function represented by the table would be y = 4x - 1.

What is the slope-intercept form of the line?

When you know the slope of the line to be examined and the point given is also the y-intercept, you can use the slope-intercept formula

                               y = mx + c.

The y value of the y-intercept point is represented by c in the formula.

By using the given table,

for x = 0 , y = -1

so by using the slope-intercept form of the line, we can write

              y = mx + c

              -1 = m(0) + c

               c = -1 ----------(I)

Then for x = 1, y = 3

again by using the slope-intercept form of the line, we can write

                  y = mx + c

                 3 = m(1) + (-1)  -----from (I)

                  3 = m - 1

             ⇒ m = 3 + 1

             ⇒ m = 4 -----------(II)

Now by using (I) and (II), we can make a linear function by using the slope-intercept form of the line

                     y = 4x - 1

Hence, the equation of the linear function represented by the table would be y = 4x - 1.

To learn more about the slope-intercept form of the line, visit:

https://brainly.com/question/24907633

#SPJ1

Answers are attached

Answer:

5(c−4)=45

5c - 20 = 45

5c = 45+20

5c = 65

c = 13

The full price of the bracelets was $13.

Step-by-step explanation:

(5) All snow geese can eat for 11.5 days before the research and rescue center runs out of supplies.

What is snow geese?

Despite having a reputation for having white feathers, many snow geese are actually blue geese, which are darker, gray-brown birds. These birds were formerly believed to be two distinct species, however it has recently been discovered that they are actually just two color variants of the same bird. The variation in color is controlled by a single gene.

9 snow geese are housed in the research and rescue center.

Each geese consumed 16 ounces of seeds, therefore that's how much.

Therefore, the amount of seeds consumed by 9 snow geese is equal to (16*9) ounces.

144 ounces of seeds were consumed by 9 snow geese.

There are currently 1,656 ounces of seeds.

Thus, the number of days before the center runs out of food is equal to the sum of the ounces of seeds eaten by the nine snow geese divided by the total ounces of seeds.

Days till the food center runs out of supplies = 1656/144

11.5 days are required until the center runs out of food.

Hence, all snow geese can eat for 11.5 days before the research and rescue center runs out of supplies.

To know more about the snow geese, click on the link

https://brainly.com/question/28888262

#SPJ1

When the circumference of a circle is 19π cm the area of the circle is

28.27 square centimeters

Information given in the question include

The circumference of a circle is 19π cm

Area of a circle is given by

π r^2

where r = radius

π = constant = 3.124

circumference of a circle is given by 2πr

2πr = 19

πr = 9.5

r = 3.024

r = 3 cm

The area is solved as

= π * 3^2

= 28 .27square centimeters

Learn more about circle at:

https://brainly.com/question/29324404

#SPJ1