A dairy made 98.38 ounces of yogurt. Then a local market bought 86.2 ounces of the yogurt.
How much yogurt does the dairy have left?

0.278 decimal is equivalent to the fraction of students who like to play basketball.

Suppose the fraction is proper (the numerator is smaller than the denominator).

Let it be

\(\dfrac{a}{b}\)

Then, we can interpret it as:

\(\dfrac{a}{b} = a\) parts out of b parts of a thing.

Five-eighteenths of the students surveyed like to play basketball.

\(\dfrac{5}{18} \\\\= 0.278\)

Therefore,

0.278 decimal is equivalent to the fraction of students who like to play basketball.

Learn more about fractions here:

https://brainly.com/question/27010538

#SPJ2

The student's exam grade was converted to a negative z-score, indicating that they scored below the mean

Therefore, option d is correct.

When a grade is transformed into a z-score, it represents how many standard deviations the grade is away from the mean. The mean is always set at a z-score of 0, and positive z-scores indicate that a grade is above the mean, while negative z-scores indicate that a grade is below the mean.

In this question, the student's exam grade was transformed into a negative z-score, which means that the grade is below the mean. This is because the negative sign in the z-score indicates that the grade is a certain number of standard deviations below the mean. The further the z-score is below 0, the further the grade is below the mean.

Learn more about mean:

brainly.com/question/30112112

#SPJ4

By Using the table to work out the values of a , b , c , and d. X y = 2 x + 1 − 3 a − 2 − 3 − 1 b 0 1 1 c 2 d a = b = c = d =

Therefore, The solutions are : a = -3, b = 0, c = 6, d = 9

Equation:

In mathematics, an equation is an expression that indicates equality of two expressions by connecting them with the equal sign = . The word "equation" and related words in other languages ​​can have slightly different meanings. For example, in French an equation is defined as containing one or more variables, whereas in English a well-formed formula consisting of two expressions connected by an equal sign is an equation.

Given:

This table;

x             y = 3x+3

-3                -6

-2                 a

-1                  b

0                 3

1                  c

2                 d

To Find:

Values of a, b, c and d

Consider the 2nd row,

x = -2, y = a

Putting the values in the equation,

we get,

   a = 3(-2) + 3

⇒ a = -3

Consider the 3rd row,

x = -1, y = b

Putting the values in the equation,

we get,

   b = 3(-1) + 3

⇒ b = 0

Consider the 5th row,

x = 1, y = c

Putting the values in the equation,

   c = 3(1) + 3

⇒ c = 6

Consider the 6th row,

x = 2, y = d

   d = 3(2) + 3

⇒ d = 9

The final answer is,

a = -3, b = 0, c = 6, d = 9.

Learn more about solutions:

https://brainly.com/question/29263728

#SPJ4

Answer: Each student will have 12 pencils.

Step-by-step explanation:

Given:  Total students= 25

Total colored boxes = 15

Total pencils in 1 box =20

Then total pencils in all 15 boxes = 20 × 15 = 300

Now, the number of pencils each students will get = (Number of pencils in all 15 boxes) ÷ (Total students)

= 300÷ 25

= 12

Therefore, Each student will have 12 pencils.

The range of value of x in the inequality x/7 ≥ -6 is x≥ -42

Inequality, is a statement of an order relationship. Some terms used in inequality are ,greater than, greater than or equal to, less than, or less than or equal to. They are used between two numbers or algebraic expressions.

greater than has the sign >

greater than or equal to has the sign ≥

less than has the sign < and

less than or equal to has ≤

solving the range of value of x in the inequality x/7 ≥- 6

multiply both sides by 7

x ≥ -42

Therefore the range of value of x is x ≥ -42

learn more about inequality from

https://brainly.com/question/24372553

#SPJ1

Answer:

0.06÷15

Step-by-step explanation:

15)0.06(0.0

- 0 |

00

00

The P-value is less than a = 0.01, and they should conclude that there is a difference between the proportions.

The confidence interval for the difference between the proportion of male and female drivers who have received a speeding ticket is (0.011, 0.087), which means that we are 99% confident that the true value of the difference in proportions falls within this interval.

To test the null hypothesis H: PM = Pw versus H: PM ≠ Pw, we need to see if the confidence interval includes the null value of 0. If it does not, then we can reject the null hypothesis and conclude that there is a significant difference between the proportions of male and female drivers who have received a speeding ticket.

Since the confidence interval does not include the null value of 0, we can conclude that there is a significant difference between the proportions of male and female drivers who have received a speeding ticket. The P-value is less than a = 0.01, which means that the probability of obtaining a difference in proportions as extreme as or more extreme than the one observed, assuming that the null hypothesis is true, is less than 0.01. Therefore, we reject the null hypothesis and conclude that there is a statistically significant difference between the proportions of male and female drivers who have received a speeding ticket. The correct answer is c. The P-value is less than a = 0.01, and they should conclude that there is a difference between the proportions.

To learn more about proportions visit:

https://brainly.com/question/30657439

#SPJ11

Answer:

22 +22 - 8=0

=

-2 +6

=

2

-2 +4+32

2.

=

= = =

I = -4; = 2

x = -13

TI

-2 = 36

2

-2 +(2) – 4(1)(-8)

2 (1)

2

= r = -1 -3: x = -1 +3 = sin   \theta  

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

The measure of BC from the given expression is 9

The point that divides a line into equal part is the midpoint. Given the following expression shown below;

AB = x + 6

AC = 5x - 6

If B is the midpoint of AC, then;

AB = BC

Equate the expressions

x + 6 = 5x - 6

Collect the like terms

x - 5x = -6 - 6

-4x = -12

x = 3

BC = 5x - 6

BC = 5(3) - 6

BC = 15 - 6

BC = 9

Hence the measure of BC from the given expression is 9

Learn more on midpoint of a line here: https://brainly.com/question/18315903

#SPJ1

Answer:

A = 1, B = 7, C = 4

Step-by-step explanation:

\( 2x^2 +5x-C= 2(x - 2)(Ax+1)+Bx\\

2x^2 +5x-C= (2x - 4)(Ax+1)+Bx\\

2x^2 +5x-C= 2Ax^2+2x - 4Ax-4+Bx\\

2x^2 +5x-C= 2Ax^2 + (2-4A+B)x-4\\\)

Equating like terms on both sides:

\( 2x^2 = 2Ax^2\\

\frac{2x^2}{2x^2} = A\\

\huge \purple {\boxed {\implies A = 1}} \\\\

5x = (2-4A+B)x\\

\frac{5x}{x} =2-4A + B\\

2-4A + B = 5....(1)\\

[Plug \: A = 1\: in\: equation \: (1)] \\

2-4\times 1 + B = 5\\

2-4 +B = 5\\

-2 + B = 5\\

B=5+2\\

\huge \purple {\boxed {\implies B = 7}} \\\\

-C = - 4\\

\huge \purple {\boxed {\implies C = 4}}\)

Answer: 23 - 19 = 4

Step-by-step explanation:

Answer:

how many does eat cookies left??? what

Step-by-step explanation:

anyway, it should be 4 cookies i guess?

23 - 19 = 4

...unless this is like a trick question with bad grammar

Answer:

isosceles

Step-by-step explanation:

An isosceles triangle is one with two equal-length sides. The correct option is D.

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

Any triangle, whose median is also the altitude of the triangle is an isosceles triangle. Since it is given that BD is both the median and altitude of ΔABC. Therefore, the given ΔABC is an isosceles triangle.

Learn more about Isosceles Triangle:

https://brainly.com/question/2456591

#SPJ5

Answer:

If the GM between √2 and 2√2 is a find the value of a.​

Step-by-step explanation:

To find the geometric mean between two numbers, we simply take the square root of their product.

In this case, we want to find the geometric mean between √2 and 2√2.

Their product is:

√2 * 2√2 = 2√4 = 2*2 = 4

So, the geometric mean between √2 and 2√2 is the square root of 4, which is:

√4 = 2

Therefore, the value of a is 2.

The attached graph describes the relationship between the amount of money raised and the number of students who attend the dance

The parameters that will help us to determine the graph are

Decorations for the dance cost $80,

The club is charging $10 per student that attends

This forms a linear equation:

y = mx + b

y = 10x - 80

Plotting the graph:

That is the full solution of the equation

Learn more about the graphs on https://brainly.com/question/17267403

#SPJ1

In the given case, where data was collected for a city that indicates that crime increases as median income decreases, and the relationship was moderately strong, an appropriate value for the correlation is the Pearson correlation coefficient. Pearson's correlation coefficient is a measure of the strength of a linear relationship between two variables.

It is a statistical measure that quantifies the degree of association between two variables, in this case, crime and median income. The Pearson correlation coefficient is a number between -1 and 1, where -1 indicates a perfectly negative correlation, 0 indicates no correlation, and 1 indicates a perfectly positive correlation. In the given case, as the relationship was moderately strong, the appropriate value for the correlation would be close to -1.

To find the Pearson correlation coefficient between crime and median income, we use the following formula:

r = (NΣxy - (Σx)(Σy)) / sqrt((NΣx² - (Σx)²)(NΣy² - (Σy)²))

Where,r = Pearson correlation coefficient, N = Number of pairs of scores, x = Scores on the independent variable (Median Income), y = Scores on the dependent variable (Crime), Σ = Sum of the values in parentheses

The correlation coefficient will be between -1 and 1. The closer the value is to -1 or 1, the stronger the correlation. The closer the value is to 0, the weaker the correlation.

Know more about Pearson's correlation coefficient  here:

https://brainly.com/question/4117612

#SPJ11

It should be noted that the bag weight that is at the 84th percentile of the distribution is 9.17 ounce.

It's important to vompute the z-score for 84th percentile then find the 84th percentile of the distribution for bag weight.

From the standard normal table, the indicated z score for the area of 0.8400 and indicative area 0.8400 is 0.99.

The z-score is 0.99.

The 84th percentile (P) of the distribution for bag weight will be:

= 9.12 + (0.09 × 0.05)

= 9.12 + 0.05

= 9.17.

Therefore, the 84th percentile of the distribution for bag weight will be 9.17.

Learn more about percentile on;

https://brainly.com/question/2263719

#SPJ1

Answer:

Z=0.8

Step-by-step explanation:

Step-by-step explanation:

Combine the opposite terms

2z+2+4z=7

Add

2z and 4z

6z+2=7

Move all terms not containing z to the right side of the equation.

Subtract 2 from both sides of the equation.

6z=7−2

6z=5

Divide each term:

6z/6 = 5/6

Decimal Form:

z=0.8

Answer:

2

Step-by-step explanation:

Pick 2 coordinates on the line and do the formula for slope.

ex: (2,4) and 3,6)

4-6/2-3 = -2/-1 = 2

The approximate value of x in the equation 7x^3 + 9x^2 - 2 = 5 is x ≈ -1.153.

To find the approximate value of x in the equation 7x^3 + 9x^2 - 2 = 5, we need to solve for x.

Rearranging the equation, we have:

7x^3 + 9x^2 - 2 - 5 = 0

7x^3 + 9x^2 - 7 = 0

This equation is a cubic equation, which can be challenging to solve analytically. However, we can use numerical methods or software to approximate the value of x.

Using a numerical solver or a graphing calculator, we can find that there is a root near x ≈ -1.153.

It's important to note that this is an approximation, and the exact value of x may have more decimal places. Additionally, there could be other roots to the equation that are not visible in the given equation.

If a more precise value is required, you can use numerical methods like Newton's method or bisection method, or utilize software with higher precision calculations to find a more accurate approximation of x.

For more such questions on approximate value

https://brainly.com/question/29095135

#SPJ8

The zeros of the function are 0, -5, and 1. For any real x other than 0, -5, and 1, the value of f(x) is not zero. Hence, there are no complex roots.

The given function is f(x) = x(x + 5)(x - 1).

We will now evaluate all zeros, identify real roots, rewrite the function in factored form, and identify all complex roots for each function.

Zeros of f(x) = x(x + 5)(x - 1) can be found by equating the function to zero.

f(x) = 0 x(x + 5)(x - 1) = 0

So, the zeros of the function are 0, -5, and 1.To identify real roots, we can check the discriminant.

The discriminant is given by

D = b² - 4ac,

where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.

In this case, there are three factors. Hence, we cannot check the discriminant. The function has only real roots, as the degree of the polynomial function is odd and the leading coefficient is positive.

To rewrite the function in factored form, we write it as a product of linear factors.

f(x) = x(x + 5)(x - 1)

= x(x² + 4x - 5)

= x²(x + 4) - 5x²

= x²(x + 4) - 5x²

So, the function in factored form is x²(x + 4) - 5x².

The zeros of the function are 0, -5, and 1. For any real x other than 0, -5, and 1, the value of f(x) is not zero. Hence, there are no complex roots.

To know more about function visit:

https://brainly.com/question/31654173

#SPJ11

Answer:

The first one

\( log_{11} \: (x)\)

Step-by-step explanation:

f(x) = 11^x

Here are the steps to find the inverse of a function:

1. Let f(x)=y

2. Make x the subject of formula.

3. Replace y by x.

\(11 {}^{x} = y \\ \: log(11 {}^{x} ) = log(y) \\ x log(11) = log(y) \\ x = \frac{ log(y) }{ log(11) } = log_{11}(y) \\ f {}^{ - 1} (x) = log_{11}(x) \)

Answer:

One tshirt is $4

Step-by-step explanation:

28/7= 4

Answer:

$4.

Step-by-step explanation:

If 7 shirts equals 28 in total then just do 28/7 = 4.

4x7 = 28.

The surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 24 meters is 1,670.5 square meters.

The surface area of a cone is calculated using the following formula:

Surface area = πr² + πrl, where π is approximately equal to 3.14, r is the radius of the base of the cone, and l is the slant height of the cone.

In this problem, we are given that the height of the cone is 42 meters and the diameter of the base is 24 meters. The radius of the base is half of the diameter, so the radius is 12 meters. The slant height of the cone can be calculated using the Pythagorean theorem.

l² = 12² + 42²

l² = 1764

l = 42.01 meters

The surface area of the cone is then calculated as follows:

Surface area = πr² + πrl

Surface area = 3.14 * 12² + 3.14 * 12 * 42.01

Surface area = 1,670.5 square meters

Here are some additional explanations:

To know more about area click here

brainly.com/question/13194650

#SPJ11

Answer:

Step-by-step explanation:

2 and 7 are AEA

5 and 4 are SSI

8 and 3 are CA

6 and 4 are AIA

2 and 4 are VA

1 and 5 are CA

a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

a) Rachel's budget line equation can be written as follows:

Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)

Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:

Budget = 3x + 2y

Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.

b) If the price of figs increases to $3, the new budget line equation becomes:

Budget = 3x + 3y

The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.

c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:

Budget = (3x + 3y) + 10

The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.

d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:

Budget = (3x + 3y) + 10

However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.

In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

Learn more about budget here

https://brainly.com/question/29028797

#SPJ11

The probability of getting shirts is 1/2 or 0.5 if the box contains 3 shoes, 7 pants and 10 shirts.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A box contains 3 shoes, 7 pants and 10 shirts.

Total number of outcomes = 3+7+10 = 20

Total number of shirts(favourable outcomes) = 10

Probability = 10/20 = 1/2 = 0.5

Thus, the probability of getting shirts is 1/2 or 0.5 if the box contains 3 shoes, 7 pants and 10 shirts.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ4

Answer:

5x2 – 168 = -60x + 12

5x*2 – 156 = -60x

-55x*2=156

55x=-78

x=-1.41818181818

also know as 18/7 or 1 4/7

Answer:

\((x+6)^{2}\) = 51

Step-by-step explanation:

5x2 – 168 = -60x + 12

5x2  + 60 x – 180 = 0

\(x^{2}\)  + 12 x – 15 = 0

\(x^{2}\)  + 12 x   = 15

        + 36      + 36

\(x^{2}\)  + 12 x  + 36  =  51

\((x+6)^{2}\) = 51

\(\sqrt{(x+6)^{2} }\) = \(\sqrt{51}\)

x + 6 =  \(\sqrt{51}\)

x   = -6 ± \(\sqrt{51}\)

Thus , Heat moves from a hotter object to a colder one, which accurately sums up the properties of the heat equation. Energy moves from one item to another in the form of heat.

An equation is a mathematical formula that expresses equality by joining two expressions together with the equal symbol =. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. An equal sign is a part of all mathematical formulas, including equations. Often, algebra is used in equations. In mathematics, algebra is employed when we don't know the precise quantity to calculate

Here,

Heat's characteristics

The direction of this transmission is always determined by the temperature differential between the bodies.

To achieve an equilibrium temperature, heat is transferred from the hotter to the cooler body.

As a result of the fact that a body and its surrounds are at different temperatures, we can infer that heat is the energy that is transferred between them.

To know more about equation visit:

brainly.com/question/649785

#SPJ1