A 4-pack of batteries costs $5.16. At this price, what is the cost of one battery?

The goal of a statistical investigation is to answer research questions by understanding phenomena through data analysis, which includes planning the study, examining the data with descriptive statistics, and making inferences to answer broader questions.

The overall goal of a statistical investigation is to understand phenomena and answer research questions using data. This involves several key components:

Ultimately, statistical investigations aim to use descriptive statistics and statistical inference to generate insights that can answer a wide range of research questions, especially when sophisticated numerical analysis is needed.

Answer:

10.5 in

Step-by-step explanation:

The correct question is

The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C. Triangle A B C is shown. Angle B C A is a right angle and angle B A C is 55 degrees. The length of A C is b and the length of B C is 15 inches. What is the length of Line segment A C?

Note: BC is not the hypotenuse of the right triangle ABC

see the attached figure to better understand the problem  

In the right triangle ABC of the figure

we know that

[tex]tan(55^o)=\frac{BC}{AC}[/tex] ----> by TOA (opposite side divided by the adjacent side)

[tex]tan(55^o)=\frac{15}{b}[/tex]

solve for b

[tex]b=\frac{15}{tan(55^o)}[/tex]

[tex]b=10.5\ in[/tex]

Answer:

10.5 in

Step-by-step explanation:

Answer:

Step-by-step explanation:

x² - x - 56 = x² - 8x  + 7x - 7*8

= x*(x - 8) + 7 (x - 8)

= (x - 8) (x + 7)

Answer:

x = 4

Step-by-step explanation:

2(3x+8) = 40   (By PEDMAS, distribute parentheses first)

3x (2) + 8(2) = 40    (next do multiply)

6x + 16 = 40   (subtract 16 from both sides)

6x = 40 - 16

6x = 24  (divide both sides by 6)

x = 24/6 = 4

Answer:

"-" always means "less" or a "drop"

Therefore the answer is a drop of 8 meters (the first one)

Hope this helps! :]

Final answer:

To find the number that 24.94 represents 29% of, you set up the equation 24.94 = 0.29 × x and solve for x, yielding x = 86.

Explanation:

To find the number that 24.94 is 29% of, we can set up an equation. If 24.94 is 29%, then we are looking for the whole (100%). We represent the whole number with a variable, let's call it x. The equation is as follows:

24.94 = 0.29 × x

To solve for x, we'll divide both sides of the equation by 0.29,

x = 24.94 ÷ 0.29

Now, let's do the math:

x = 86

Therefore, 24.94 is 29% of 86.

Answer:

X=2

Step-by-step explanation:

FIRST YOU SUBTRACT 3 FROM BOTH SIDES:

4=1/2X+3

-3         -3

1=1/2X

THEN U DIVIDE BOTH SIDES BY 1/2:

1=1/2X

1/1/2=X

1*2/1=X

2=X

Answer:

W

Step-by-step explanation:

Tvivyvyvububi

Answer:

4x^2+4x-12

Step-by-step explanation:

(3x^2+x-14)-(-x^2-3x-2)

3x^2+x-14+x^2+3x+2

3x^2+x^2+x+3x-14+2

4x^2+4x-14+2

4x^2+4x-12

Option B:

–1 is the value included in the solution set

Solution:

Given inequality is –3(x – 4) > 6(x – 1).

⇒ –3x + 12 > 6x – 6

Add 3x on both sides of the expression.

⇒ –3x + 12 + 3x > 6x – 6 + 3x

⇒ 12 > 9x – 6

Add 6 on both sides of the expression.

⇒ 12 + 6 > 9x – 6 + 6

⇒ 18 > 9x

Divide by 9 on both sides of the expression.

⇒ 2 > x

⇒ x < 2

Therefore the solution set is x < 2.

In the given options 3 and 7 are greater than the solution set.

x < 2, so 2 is also not in the solution set.

–1 is the only value which is in the solution set x < 2.

Hence, –1 is the value included in the solution set.

Answer:

The number if texts sent by Chau  = 32

The number of texts sent by Laura = 24

The number of texts sent by Jose  =  96

Step-by-step explanation:

The total number of sent texts =  152

Let us assume the number of texts sent by Chau = k

So, the number of texts sent by Laura  = 8 fewer than Chau  = k - 8

Also, the number of texts sent by Jose = 4 times as many messages as Laura

=  4 x (k-8)

So, now the total number of texts = texts sent by ( Chau  + Jose + Laura)

or, 152  = k +  (k-8) + 4(k-8)

⇒ k + 5(k-8) = 152

or, k + 5 k - 40 = 152

or, 6 k  = 192

or, k = 32

So, the number if texts sent by Chau = k = 32

The number of texts sent by Laura = k - 8 = 24

The number of texts sent by Jose = 4 (24)  =  96

Answer:

least is 51%

Step-by-step explanation:

so 51%, .57,6/10 and .61

Answer:

$10,050

Step-by-step explanation:

To find a percent of a number, multiply the percent by the number. First, change the percent to a decimal by dividing it by 100.

15% of $67,000 =

= 15% * $67,000

= 0.15 * $67,000

= $10,050

Answer:

  11.3

Step-by-step explanation:

The parallel lines divide the transversals into proportional segments, so ...

  x/8.25 = (4+11)/11

  x = 8.25·(15/11) = 11.25

  x ≈ 11.3 . . . . . rounded to one decimal place

Answer:

A 4/81

Step-by-step explanation:

(2/9)² is the same as 2/9×2/9, which is 4/81.

Answer:B (x-4)^2=9

Step-by-step explanation:

Answer:

The midpoint of points [tex](-2,-2)\ and\ (4,6)[/tex] is [tex](1,2)[/tex].

Step-by-step explanation:

Given points are [tex](-2,-2)\ and\ (4,6)[/tex]. We need to find the midpoint of the line segment.

The formula of finding midpoints between the point [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is

[tex](\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2})\ Equation(1)[/tex]

W have points [tex](x_1,y_1)=(-2,-2)[/tex]. And [tex](x_2,y_2)=(4,6)[/tex]

Let us plug the value in Equation (1)

[tex](\frac{-2+4}{2} ),(\frac{-2+6}{2})[/tex]

[tex](\frac{2}{2}),(\frac{4}{2})\\ \\(1,2)[/tex]

So, the midpoint of points [tex](-2,-2)\ and\ (4,6)[/tex] is [tex](1,2)[/tex].

Answer:

Italian style = 18,000 packages

French style = 14,000 packages

Oriental style = 53,000 packages

Step-by-step explanation:

See the attached figure to represent the question

let the number of packages of Italian style = x

let the number of packages of French style = y

let the number of packages of Oriental style = z

Italian style ⇒ 0.4 kg of​ zucchini, 0.3 kg of​ broccoli, and 0.3 kg of carrots.

French style ⇒ 0.5 kg of broccoli and 0.5 kg of carrots.

Oriental style ⇒ 0.2 kg of​ zucchini, 0.3 kg of​ broccoli, and 0.5 kg of carrots.

The amount of zucchini ⇒ 17,800 = 0.4x + 0 * y + 0.2z

The amount of broccoli ⇒ 28,300 = 0.3x + 0.5y + 0.3z

The amount of carrots   ⇒ 38,900 = 0.3x + 0.5y + 0.5z

Solving the 3 equations together to find x , y and z

Using the calculator:

x = 18,000 ⇒ Italian style packages

y = 14,000 ⇒ French style packages

z = 53,000 ⇒ Oriental style packages

Answer:

78 girls

Step-by-step explanation:

Ratio is 3:4, so that means the total number of 182 can be divided into 7 parts. 182 divided by 7 is 26, so each part is 26. The ratio of girls is 3, so 3 times 26 is 78. You can check this by putting (3*26)/(4*26) simplifies to 78/104 to 3/4 which is the right ratio

Answer:

78 girls

Step-by-step explanation:

the person below me explained it

Answer:

Step-by-step explanation:

24,000 inspected.....50 were defective

50/24,000 reduces to 1/480 <===

Answer:

3 quarts of blue paint and 2 quarts of red paint

Step-by-step explanation:

Let

x ---> quarts of blue paint

y ---> quarts of red paint

we know that

You make 5 quarts of purple paint

so

[tex]x+y=5[/tex] ----> equation A

The ratio of of blue paint to red paint is

[tex]\frac{x}{y} =\frac{(1/2)}{(1/3)}[/tex]

[tex]\frac{x}{y}=1.5[/tex]

[tex]x=1.5y[/tex] ----> equation B

Solve the system by substitution

substitute equation B in equation A

[tex]1.5y+y=5[/tex]

solve for y

[tex]2.5y=5\\y=2[/tex]

Find the value of x

[tex]x=1.5(2)=3[/tex]

therefore

3 quarts of blue paint and 2 quarts of red paint

Answer:

it probably got deleted or you willl have to scroll a long way down to find it

Step-by-step explanation:

pleae mark brainliest just need 3 more

Answer:

x≥-3

Step-by-step explanation:

the bracket means the the number is inclusive, so the answer would be

x≥-3

Final answer:

To convert the interval [-3,∞) to inequality notation, we would write x ≥ -3, indicating that x includes -3 and extends to positive infinity without an upper bound.

Explanation:

To convert the interval notation [-3,∞) to inequality notation using the variable x, we consider the meaning of the interval. The square bracket [ indicates that the number -3 is included in the interval, which corresponds to x ≥ -3. The infinity symbol (∞) suggests that there is no upper bound to the values of x, hence the interval does not include any particular largest number, which is why the parenthesis ) is used rather than a square bracket. Therefore, the equivalent inequality notation for the interval [-3,∞) is x ≥ -3.

Answer:

The answer is that 90 couples remained at the party after 11 pm

Step-by-step explanation:

Number of people who went to the couples only party at 9 pm = 250

Number of people who left the party at 11 pm = 70

How many couples remained at the party?

People that remained at the party = 250 - 70 = 180

Couples that remained at the party = 125 - 35 = 90

The answer is that 90 couples remained at the party after 11 pm

Answer:

45

Step-by-step explanation:

12/15=4/5

4/5=36/x

cross product

5*36=4*x

180=4x

x=180/4

x=45

Answer:

To find the value of this expression you need to add and subtract from left to right

74.9+5.23-81.4-16 (add the first two, first)

80.13-81.4-16 (74.9+5.23=80.13) (next subtract the next two)

-1.27-16 (80.13-81.4=-1.27) (Last subtract the last two)

-17.27 (-1.27-16=-17.27)

-17.27

Hope this helps ;)

Answer:

  C  6

Step-by-step explanation:

The point P is the centroid of the triangle (the intersection of medians). The centroid divides the median into parts in the ratio 2:1, with the longer part between the centroid and the vertex.

Here, that means ...

  NP/PQ = 2/1

  NP = 2·PQ = 2·3

  NP = 6

Answer: A number decreased by 4 equals 20

explanation: Decreased represents 4 being subtracted from y.

A number represents y

Answer:

Step-by-step explanation:

y decreased by 4  equal 20

.or

4 subtracted from a number equals 20

Answer: B and d has a dark blue section that is 1/3 x 2/5 of a square

Step-by-step explanation:

Answer:

sorry was there suppost to be a picture with this? which dark blue square? or do we draw it ourselves?

Step-by-step explanation:

sorry i wish i could help :(

Answer:

-12

Step-by-step explanation:

-4-(5+3)

-4-(8)

-4-8

-12

-12 is the value of the expression  - 4 - (5 + 3)​.

An expression is combination of variables, numbers and operators.

Given expression is -4-(5+3)

Minus four minus of five plus three.

In the given expression we have positive and negative signs which tells that there is addition and subtraction operations.

-4-(5+3)

Add the numbers in parenthesis

-4-8

Now we get -12

Hence, -12 is the value of the expression  - 4 - (5 + 3)​.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2