Twenty-seven is smaller than five times a number increased by seven.

Answer:

[C] -1

Explanation:

3 - 2x = 5

Subtract 3 from both sides

3 - 2x - 3 = 5 - 3

Simplify

-2x = 2

Divide both sides by -2

-2x / -2 = 2 / -2

x = -1

The null hypothesis would state that the population mean number of cups of coffee that women would drink 32% the population mean number cups of coffee than men drink.

The term "percentage" comes from the Latin phrase "per centum," which means "by the hundred." With 100 as the denominator, percentages are fractions. In other words, it is a relationship where the value of the entire is always assumed to be 100.

Percentage is a fraction or a ratio in which the value of whole is always 100. For example, if Sam received 30% on his math test, he received 30 points out of 100. It is expressed as 30/100 in fractional form and 30:100 in ratio form.

A certain number or quantity in every hundred is referred to as a percentage. It is a fraction, and the denominator is 100.

In order to learn more about percentage, visit:

https://brainly.com/question/29306119

#SPJ4

Answer:

17,576,000

Step-by-step explanation:

3 digits followed by 3 letters

Draw an underline character for each position with multiplication signs in between them.

_ × _ × _ × _ × _ × _

Now fill in each blank with the number of characters that can be used in that position. The first three blanks are used with digits, 0 through 9. There are 10 digits 0 through 9.

10 × 10 × 10 × _ × _ × _

For the last three blanks, each one gets a letter from A through Z. There are 26 letters to choose from fore each of the last three blanks.

10 × 10 × 10 × 26 × 26 × 26 = 17,576,000

Answer:

slope= 3

y intercept= (0,0) hope this helps

Step-by-step explanation:

A sample size of at least 257 is needed to restrict the margin of error to within 0.06, using the reported national default rate.

To estimate the sample size needed to restrict the margin of error to within 0.06, we can use the formula for sample size calculation for estimating a proportion.

The formula is:

\(n = (z^2 \times p \times q) / E^2\)

Where:

n = sample size

z = z-score corresponding to the desired confidence level (95% confidence corresponds to a z-score of approximately 1.96)

p = estimated proportion (default rate)

q = 1 - p

E = margin of error

Given that the estimated default rate is 2 in 5, or 2/5, the proportion (p) is 2/5 = 0.4, and q = 1 - p = 1 - 0.4 = 0.6.

Substituting these values into the formula:

\(n = (1.96^2 \times 0.4 \times 0.6) / 0.06^2\)

Simplifying further:

\(n = (3.8416 \times 0.24) / 0.0036\)

n = 0.922784 / 0.0036

n ≈ 256.33

Rounding up to the nearest whole number, the required sample size is 257.

Therefore, a sample size of at least 257 is needed to restrict the margin of error to within 0.06, using the reported national default rate.

Learn more about sample size click;

https://brainly.com/question/30100088

#SPJ12

Answer: c. Step-by-step explanation:

The product between f(x) and g(x) is equal to -6x² + 37x - 35.

The product of two functions, (fg)(x), is defined as f(x)*g(x). Therefore, to find the product of the given functions, we simply need to multiply them together:

(fg)(x) = (6x -7)(5 - x)

Using the distributive property, we can simplify this expression:

(fg)(x) = (6x)(5) - (6x)(x) - (7)(5) + 7(x)

(fg)(x) = 30x - 6x² - 35 + 7x

Combining like terms, we get:

(fg)(x) = -6x² + (30x + 7x) - 35

(fg)(x) = -6x² + 37x - 35

So the product of the two functions is (fg)(x) = -6x² + 37x - 35.

See more about functions at https://brainly.com/question/11602229.

#SPJ11

Answer:

Either 4x+12 ≠ 9x-3 OR x = 3

Hope this helps!! (Please mark Brainliest if possible!!)

Answer:

\(x=3\)

Step-by-step explanation:

\(4(x+3)=3(3x-1)\)

Distribute 4 and 3 into the parentheses

\(4x+12=9x-3\)

Combine like terms; subtract both sides by 12

\(4x+12-12=9x-3-12\\4x=9x-15\)

Combine like terms; subtract both sides by 9x

\(4x-9x=9x-15-9x\\-5x=-15\)

Divide both sides by -5 to isolate x

\(\frac{-5x}{-5} =\frac{-15}{-5} \\x=3\)

I hope this helps!

Answer:

m=-1/3

Step-by-step explanation:

The slope of this line is m=-1/3 because if you use the slope-intercept formula, y=mx+b, m is the slope. If you take this equation and plot two points on a line that has this equation, the slope will be negative if the line forms an obtuse angle on the 0 line. In this case, m=-1/3 as the line goes back 1/3 unit for every unit in this equation. Hope it helps!

Answer:  the slope is -0.33...   The does means that 3 is repeating.

Step-by-step explanation:

First we will convert the equation into slope intercept form, which is the same way of solving for y in the equation.

1.5x + 4.5y = 18     Solve for y by first subtracting 1.5x from both sides

-1.5x               -1.5x

4.5y  = 18 - 1.5x     Now divide both sides by 4.5

y= 4- 0.33x

y= -0.33x + 4    Now the slope is the coefficient of the variable x which is the number that comes after the variable.

In this case, the slope is -0.33...

Answer:

Hello! The answer is 8 : 1

Step-by-step explanation:

9 x 8 = 72

72 x 8 = 576

There is a pattern here.

_AnnieTheDreamGirl, 3/9/2022

Let that be x

Now

\(\\ \rm\Rrightarrow (x+4+4)^2=625\)

\(\\ \rm\Rrightarrow x+8=25\)

\(\\ \rm\Rrightarrow x=25-8\)

\(\\ \rm\Rrightarrow x=17\)

Option A

Answer:

17 centimetres

A square has all sides similar.

area of square = side²

solve:

(x + 8)² = 625

x + 8 = √625

x + 8 = 25

x = 25 - 8

x = 17

The median for the students is 4 and the median for the teachers is 3 compares the medians of the data.

The dot plots display the number of siblings reported by two different groups: seventh graders and teachers at a local middle school. The students' dot plot shows varying numbers of dots above each value on the number line, indicating the frequency of students reporting that specific number of siblings. Similarly, the teachers' dot plot represents the number of teachers reporting each value.

Looking at the dot plots, it is evident that the students' distribution is skewed towards higher numbers of siblings, with the highest frequency above 2 and 3. Conversely, the teachers' distribution appears to be more spread out, with a peak around 4 and a decline towards higher numbers.

To determine the median, we identify the middle value in each distribution. In the students' dot plot, the middle value falls around 4, as there are equal numbers of dots on either side. In the teachers' dot plot, the median is around 3 since the distribution is more symmetrical.

Therefore, comparing the medians of the data, we can conclude that the median for the students is 4 and the median for the teachers is 3.

Know more about the median here:
https://brainly.com/question/14532771

#SPJ8

We can see that the first component of the vector equation is always zero, so the parabola lies in the xz-plane.

Moreover, the second component is a quadratic function of t, which gives us a vertical parabola when plotted in the yz-plane. The third component is a linear function of t, so the curve extends infinitely in both directions. Therefore, we have a vertical parabola in the xz-plane.

This statement is referring to a specific vector-valued function, which we can write as:

f(t) = (0, t^2, ct)

where c is a constant.

The second component of this vector function is t^2, which is a quadratic function of t. When we plot this function in the yz-plane (i.e., we plot y = t^2 and z = 0), we get a vertical parabola that opens upward. This is because as t increases, the value of t^2 increases more and more quickly, causing the curve to curve upward.

The third component of the vector function is ct, which is a linear function of t. When we plot this function in the xz-plane (i.e., we plot x = 0 and z = ct), we get a straight line that extends infinitely in both directions. This is because as t increases or decreases, the value of ct increases or decreases proportionally, causing the line to extend infinitely in both directions.

To know more about parabola,

https://brainly.com/question/28973830

#SPJ11

The 90% confidence interval for the population mean is given as follows:

(82.9, 85.7).

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The variables of the equation are listed as follows:

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 100 - 1 = 99 df, is t = 1.6604.

The parameter values for this problem are given as follows:

\(\overline{x} = 84.3, s = 8.4, n = 100\)

The lower bound of the interval is given as follows:

84.3 - 1.6604 x 8.4/10 = 82.9.

The upper bound of the interval is given as follows:

84.3 + 1.6604 x 8.4/10 = 85.7.

More can be learned about the t-distribution at https://brainly.com/question/17469144

#SPJ4

Answer:

diameter is 28

Step-by-step explanation:

615.75216/3.14=196.099

\(\sqrt{196}\)=14

14*2=28

This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

Learn more about area on

https://brainly.com/question/29082330

#SPJ1

The process of making coffee grounds involves sourcing, roasting, grinding, and packaging high-quality beans.

The process of making coffee grounds starts with sourcing and selecting high-quality beans, which sets the foundation for a superior product. These beans are then carefully roasted to unlock their unique flavors and aromas, enhancing the overall coffee experience.

The roasted beans are ground to the desired consistency, catering to different brewing methods and preferences. Finally, the freshly ground coffee is meticulously packaged to preserve its freshness, ensuring that customers can enjoy the full flavor profile.

Through value-added analysis, each step is evaluated to identify activities that directly contribute to the product's value, allowing for optimization and efficiency in the production process.

To know more about freshness visit -

brainly.com/question/28848302

#SPJ11

Answer:

-49/15

Step-by-step explanation:

To determine the position of point A on the number line, we need to subtract the length of segment AB from the position of point B.

Given that the position of point B is 2/5, we can subtract the length of AB, which is 3 2/3, from 2/5.

To subtract fractions, we need to find a common denominator. The least common denominator for 3/3 and 5 is 15.

Converting 3 2/3 to an improper fraction:

3 2/3 = (3 * 3 + 2)/3 = 11/3

Subtracting the fractions:

2/5 - 11/3 = (2 * 3 - 11 * 5)/(5 * 3) = (6 - 55)/15 = -49/15

The position of point A is -49/15 on the number line.

(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)

Given:

We have the graph below:

Answer:

To expand (x + 4)², we can use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². In this case, a = x and b = 4.

So,

(x + 4)² = x² + 2(x)(4) + 4²

= x² + 8x + 16

Thus, (x+4)² when expanded and simplified gives x² + 8x + 16.

Step-by-step explanation:

Answer:

x²n+ 8x + 16

Step-by-step explanation:

(x + 4)²

= (x + 4)(x + 4)

each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 4(x + 4) ← distribute parenthesis

= x² + 4x + 4x + 16 ← collect like terms

= x² + 8x + 16

The approximate probability of exactly two people in a group of seven having a birthday on April 15 is quite low.

In a group of seven people, the probability of any individual having a birthday on April 15 is 1/365 (assuming a non-leap year). The probability of exactly two people having a birthday on April 15 can be calculated using the concept of binomial probability. In this case, we have seven trials (representing the seven individuals) and the probability of success (a person having a birthday on April 15) is 1/365. However, since we are interested in exactly two successes, we need to consider the combination of selecting two individuals out of seven. The calculation involves using the binomial coefficient and multiplying it with the probability of success raised to the power of the number of successes, multiplied by the probability of failure (1 - probability of success) raised to the power of the number of failures. This calculation results in a relatively low probability of exactly two people having a birthday on April 15 in a group of seven individuals.

Learn more about probability here: brainly.com/question/31828911

#SPJ11

The surface area of the rectangular prism is 88 square inches.

Given that:

Length, L = 6 inches

Width, W = 2 inches

Height, H = 4 inches

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

SA = 2(6 x 2 + 2 x 4 + 4 x 6)

SA = 2 (12 + 8 + 24)

SA = 2 x 44

SA = 88 square inches

More about the surface area of the rectangular prism link is given below.

https://brainly.com/question/14987814

#SPJ1

Answer: 8 gallons

Step-by-step explanation:

Hey kk

Answer:pink

Step-by-step explanation:

24.7% is the total number of students on the honor roll decrease

percentage, a relative value indicating hundredth parts of any quantity.

There were 128 boys on the honor roll and 50 girls on the honor roll.

Total = 128+50=178

This year, the number of boys on the honor roll decreased by 25% and the number of girls on the honor roll decreased by 24%.

25/100×128

0.25×128=32

the number of girls on the honor roll decreased by 24%.

24/100×50

0.24×50=12

Now the total decrease is 44

The total number of students on the honor roll decrease

x/100×178=44

x=24.7

Hence, 24.7% is the  total number of students on the honor roll decrease

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

A type of quantitative analysis in which the amount of a species in a material is determined by converting the species to a product that can be isolated completely and weighed is "gravimetric analysis."

Gravimetric analysis is a quantitative chemical analysis method in which the contribution sought is transformed into a material (of different compositions) that can be separated and weighed from the sample.

Some key features regarding the gravimetric analysis are-

To know more about the gravimetric analysis, here

https://brainly.com/question/1571553

#SPJ4

Answer:

Part 1)

\(V=w(w+9)(49-w)\)

Part 2)

We can have the aquarium have a width of 40 inches, a height of 49 inches, and a length of 9 inches.

Or we can have the aquarium have a width of 21 inches, a height of 30 inches, and a length of 28 inches.

Step-by-step explanation:

The dimensions of the aquarium is as follows:

\(\text{Height}= (w+9)\text{ inches}\\\text{Width} = w\text{ inches} \text{ and } \\\text{Length} = (49-w)\text{ inches}\)

Part 1)

We want to find a polynomial expression that represents the volume of the aquarium according to the specified dimensions.

Since the aquarium is a rectangular prism, the volume will simply be the product of all the dimensions. Hence:

\(V=w(w+9)(49-w)\)

Part 2)

We want to aquarium to hold 17, 640 cubic inches of water. In other words, the volume V should be 17640. Thus:

\(17640=w(w+9)(49-w)\)

First, we can distribute the right-hand side:

\(17640=(w^2+9w)(49-w)\)

Distribute:

\((w^2+9w)(49)+(w^2+9w)(-w)=17640\)

Distribute:

\((49w^2+441w)+(-w^3-9w^2)=17640\)

Simplify:

\(-w^3+40w^2+441w-17640=0\)

Now, we can factor. From the first two terms, factor out a -w² and from the second two terms, we can factor out 441:

\(-w^2(w-40)+441(w-40)=0\)

Grouping:

\((441-w^2)(w-40)=0\)

Zero Product Property:

\(441-w^2=0\text{ or } w-40=0\)

Solve for each case:

\(w=21\text{ or } w= 40\)

So, we have two possible sets of dimensions.

We can have the aquarium have a width of 40 inches, a height of 49 inches, and a length of 9 inches.

Or we can have the aquarium have a width of 21 inches, a height of 30 inches, and a length of 28 inches.

Answer:

\(x=23\)

Step-by-step explanation:

\(x-6=17\)

\(x-6+6=17+6\) ( Add 6 to both sides)

\(x=23\)

Now we have to,

→ find the required value of x.

Given equation,

→ x - 6 = 17

Let's solve the equation,

→ x - 6 = 17

→ x = 17 + 6

→ [ x = 23 ]

Hence, the value of x is 23.

we have to add 7775000 to make 7800000 from 25000 which is calculated by using Substraction method.

Subtraction in mathematics is the process of subtracting one integer from another. In other terms, the result of subtracting two from five is three. After addition, subtraction is usually the second process you learn in math class.Subtraction is the action or procedure of determining the difference between two quantities or figures. The phrase "taking away one number from another" is also used to describe the process of subtracting one number from another.

Distance to be covered altogether= 7800000 m
THE distance has covered= 25000 m.

We can calculate the thousands needs to be added in 25000 to make it 7800000 by using Substraction method:-

7800000-25000= 7775000m

hence, to make 7800000 from 25000 we have to add 7775000.

To know more about Substraction method go through:-

https://brainly.com/question/17301989

#SPJ4