Quick algebra 1 question for 10 points!

Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!

If the data is symmetrical, then the mean is the best measure of central tendency to use, and the standard deviation is the best spread to use.

If the data is asymmetrical, the median is the best measure of central tendency to use, and the inter-quarterly range is the best spread to use.

A histogram for symmetrical data will give a symmetrical shape, and the mean, median and mode will all be the same value. Therefore, the best measure of the central tendency to use is the mean. The standard deviation shows how far away the values in a given data set are from the mean, and since the mean is used as the measure of central tendency in this case, the standard deviation should be used as the spread.

A histogram for a an asymmetric data set will give an asymmetric shape, and the mean is not always equal to the median. Therefore, the best measure of central tendency to use is the median. The inter-quarterly range shows the range of the middle 50% of a certain data, which is considered from the median value. Since the median is used as the measure of central tendency in this case, it is wise to use the inter-quarterly range as the measure of spread.

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Considering that the two lines intersect at only one point, the system of equations described by them is consistent.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

According to the number of solutions, the system is classified as follows:

In this graph, each equation is described by a line, and they intersect once, meaning that there is one solution and the system is consistent.

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The option c is correct. Linear model suits best to this graphical representation out of the exponential and quadratic model.

According to the statement

We have given that a model in the graphical representation and we have to tell that which type of model used in this representation.

So,

According to this representation,

A linear representation is a representation on a category of vector spaces or similar.

The other meaning is that when the growth increases linearly or at the constant speed.

In this graphical representation, linear representation is used because it increases or decreases linearly not suddenly.

linear representation explain this graph perfectly.

So, Linear model suits best to this graphical representation.

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The minimum value of f(4) - f(1) is 6.

The maximum value of f(4) - f(1) is 12.

In the question, we are given that, 2 ≤ f'(x) ≤ 4 for all values of x.

Taking the given inequality as (i).

We are asked to find the minimum and maximum possible values of f(4) - f(1).

We multiply (i) by dx throughout, to get:

4dx ≤ f'(x)dx ≤ 5dx.

To find this, we integrate (i) in the definite interval [4, 1] with respect to dx, to get:

[tex]\int_{1}^{4}2dx \leq \int_{1}^{4}f'(x)dx \leq \int_{1}^{4}4dx\\\Rightarrow [2x]_{1}^{4} \leq [f(x)]_{1}^{4} \leq [4x]_{1}^{4}\\\Rightarrow 2*4 - 2*1 \leq f(4)-f(1) \leq 4*4 - 4*1\\\Rightarrow 6 \leq f(4) -f(1) \leq 12[/tex]

Thus, the minimum value of f(4) - f(1) is 6.

The maximum value of f(4) - f(1) is 12.

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Based on the given function, the equivalent function that best shows the x-intercepts on the graph is f(x) = (6x - 1)(6x + 1)

Equivalent functions are different functions that have equal values when evaluated and compared

The function is given as:

f(x) = 36x^2 - 1

Express 1 as 1^2

f(x) = 36x^2 - 1^2

Express 36x^2 as (6x)^2

f(x) = (6x)^2 - 1^2

Apply the difference of two squares.

This is represented as:

(a + b)(a - b) = a^2 - b^2

So, we have the following equation

f(x) = (6x - 1)(6x + 1)

Based on the given function, the equivalent function that best shows the x-intercepts on the graph is f(x) = (6x - 1)(6x + 1)

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Answer: c. a-15= 20

Step-by-step explanation:

The answer is c because a represents her age and 15 less than that would mean that you have to subtract 15 from her age which is represented by a, and then 15 less than a would equal 20, so a-15=20

Answer:

f = 78 , g = 32 , h = 74

Step-by-step explanation:

f and 78° are alternate angles and are congruent , then

f = 78

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

h and 74° are alternate angles and are congruent , so

h = 74

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

the sum of the 3 angles in the triangle = 180°

sum the 3 angles and equate to 180

78 + g + h = 180

78 + g + 74 = 180

152 + g = 180 ( subtract 152 from both sides )

g = 28

The board with a length of 4.8 feet would require 5 pounds of pressure to break.

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let p represent the pressure and l represent the length.

l ∝ 1/p

l = k/p (k is constant)

When l = 3, p = 8, hence:

3 = k/8

k = 24

For p = 5:

l = k/p = 24/5 = 4.8 feet

The board with a length of 4.8 feet would require 5 pounds of pressure to break.

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Number of ants = 6

Number of flies = 12

Number of buck = 1

Number of fawn = 1

Number of doe = 1

Number of squirrels = 3

Number of rabbit = 6

What is the number system?

A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.

A system for representing numbers is called a number system. It also defines a set of numbers to represent a quantity and is referred to as the system of numeration.

Given,

Total number of animals Cory saw = 27

Number of insects = [tex]27 \times \frac{2}{3}[/tex]

                               [tex]= 18[/tex]

Remaining number of animals = [tex]27-18[/tex]

                                                   = [tex]9[/tex]

From the insects-

Number of ants = [tex]18 \times \frac{1}{3}[/tex]

                          [tex]=6[/tex]

Number of flies = [tex]18-6[/tex]

                          = [tex]12[/tex]

Number of buck  = 1

Number of fawn = 1

Number of doe = 1

Let the number of squirrels be [tex]x[/tex]

Then, the number of rabbits = [tex]2x[/tex]

Remaining animals = [tex]2x+x[/tex]

⇒ [tex]9=3x[/tex]

⇒ [tex]x= 3[/tex]

Therefore,

Number of squirrels = 3

Number of rabbits = [tex]2x[/tex]

                               = 6

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Based on the given table which shows the number of years with a company in relation to the employee salary, the conclusion that can be drawn is There is a weak positive correlation between the variables.

When two variables are said to be positively correlated, then it means that when one variable increases, the other variable would increase as well.

If the correlation between them is strong, then the increase between the variables would be more uniform i.e. we can tell with higher accuracy, how the increase in one variable would affect the other.

In the table, we see that with every increase in the number of years with the company, there is an increase in the salary. This means that there is a positive correlation.

The increase is not uniform however. Sometimes it increases by $1,000, and other times by $7,000. As the increase is not uniform, it means that the correlation is weak.

In conclusion, there is a weak positive correlation between number of years and salary.

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Answer: D 1881

Step-by-step explanation: 6889 and 1961 don't read the same forwards and backward. 1991 upside down is 1661. So, only 1881 works

Answer:

180

Step-by-step explanation:

If she received requests for 150 tickets, and that is 120% of what they have, you would find 20% of 150. You would do this because 100% of 150 is 150, now you need to add the other 20%, so you have to find 20% of 150. Which is 30. You would then add that to 150 sine it is 120% of what they have. So, they have 180 tickets

Answer:

original ft below sea level =88 feet

In six seconds goes to 182 feet

Amount of feet covered in 6 seconds=182-88=94 ft

Step-by-step explanation:

rate in feet per second = 94/6=15.66

rounding to nearest tenth=15.7ft/s

The answers are :

y = 3ˣ ⇒ b

y = 3⁻ˣ ⇒ a

y = -3ˣ ⇒ c

For y = 3ˣ, we will get a graph that will increase exponentially in the direction of positive y-axis.

For y = 3⁻ˣ, we will get a graph that will decrease exponentially in the direction of positive x-axis.

For y = -3ˣ, we will get a graph that will decrease exponentially in the direction of negative y-axis.

The values associated to the exponential function are listed below:

Herein we have the exponential function [tex]g(x) = 1\,296^{x}[/tex], which has to be evaluated, that is, replacing the variable x by constants and make use of algebra properties until result is found.

g(- 1.75) = 3.572 × 10⁻⁶

g(- 1) = 7.716 × 10⁻⁴

g(- 0.25) = 0.167

g(0) = 1

g(0.25) = 6

g(0.50) = 36

g(0.75) = 216

g(1) = 1 296

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Answer:

$7.14

Step-by-step explanation:

Given:

Isabel , Nancy = 2 humans

Bill = $12.42

Tip = 15%

To Find:

How much will each girl pay if they equally divide the total amount?

Solve:

$12.42 × 15% = 1.863

1.863 ≈ 1.86

$12.42 + 1.86 = 14.28

14.28 ÷ 2 = 7.14

Therefore each girl pays $7.14 .

~Kavinsky

Two different integers are the same numbers, which have different signs.

An integer is a number that includes negative and positive numbers, including zero. It does not include any decimal or fractional part. A few examples of integers are: -5, 0, 1, 5, 8, 97.

Given that,

x, y, and z are three integers. They follow the one condition: x-y-z = 0.

Any number in the number system that has only two signs, either + or -, So we consider that the third integer is 0 because 0 is a whole number that has neither a positive nor a negative sign.

The remaining two integers are the same numbers, but they have different signs to follow the given condition.

x-y-z = 0

x = y+z

Let y,z are the same numbers, They have different signs and x = 0.

Note: The value of x is always negative and y's value is always positive.

Example:

x = 0,  y = +6,  z = -6

x-y-z = 0

x = y+z

0 = +6-6

0 = 0

Hence, two different integers are the same numbers, which have different signs.

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The domain of the function is:

h > 0, only integers.

Then the correct option is the first one.

For a function f(x), we define the domain as the set of the possible values of x that we can use as inputs in the given function.

Here the function is:

f(h) = 6*h + 12

Where h is the number of packages that you buy.

Then h can be only integers larger than zero (as you can't buy half a package or something like that).

Then we conclude that the correct option is the first option.

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Answer: 10

Step-by-step explanation: 5 less than 15 is 10 because 15 - 5 is 10. If it was 15 less from 5, only then it would be -10.

Answer:

5 less than 15 is Option D, 10. This is because using mathematical symbols, it says 15-5 which equals to 10.

Answer:

There are 9 possible thousands digits, because 0 cannot be the leading digit.

There are 2 possible ones digits, 0 and 5.

If the ones digit is 5:

There are 5 possible thousands digits: 1, 2, 3, and 4.For each possible thousands digit, there are 5 possible hundreds digits. (We used one of the digits above to be the thousands digit, but 0 is a possible hundreds digit.)For each possible pair of thousands-and-hundreds digits, there are 4 possible tens digits.

So there are 5 x 5 x 4 = 100 possible 4-digit numbers that end in 5 with no repeated digit and no digit larger than 5.

If the ones digit is 0:

There are 5 possible thousands digits.For each possible thousands digit, there are 4 possible hundreds digits.For each possible pair of thousands-and-hundreds digits, there are 6 possible tens digits.

So there are 5 x 4 x 6 = 120 possible 4-digit numbers that end in 0 with no repeated digit and no digit larger than 5.

100+120=220

Answer: 220 possible numbers.

The probability of not choosing red when choosing one marble from the bag is 90%.

S = {1, 2, 3, 4, 5, 7}

Flipping a fair, two-sided coin.

probability that a student studied for exactly 1 hour is 0.23.

The probability of landing on yellow is less than the probability of landing on blue.

Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.

The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.

The experimental probability of drawing a spade is 0.15.

The probability of not choosing red when choosing one marble from the bag will be:

= (3 + 15 + 9)/30

= 27/30

= 90%

The sample space for rolling a fair seven-sided die will be S = {1, 2, 3, 4, 5, 7}.

The event that will have a sample space of S = {h, t} will be flipping a fair, two-sided coin.

The probability that a student studied for exactly 1 hour will be:

= 8/(1+8+2+5+9+7+3)

= 8/35

= 0.23

The true statement is that the probability of landing on yellow is less than the probability of landing on blue.

Sandy's experimental probability was exactly the same as the theoretical probability for all three experiments.

The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%. This was 13/40 = 32.5%.

The experimental probability of drawing a spade will be:

= 3/(7+3+6+4)

= 3/20

= 0.15.

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Answer: the sample space of the experiment from simultaneously flipping a coin and rolling a die consisted of: 2 × 6 = 12 possible outcomes.

Step-by-step explanation:

The sample space of 52 cards is all 52 possible outcomes, which is {Ace of Hearts, two of hearts, three of hearts...etc}.

Complexes with a coordination number 4 mostly adopt tetrahedral and squar planar geometries.

Complexes with a coordination number 4 mostly adopt tetrahedral and squar planar geometries.

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Answer:

Here is the full list of equivalent fractions to 32.  3/2, 6/4, 96, 12/8, 15/10, 18/12, 21/14, 24/16, 27/18, 30/20, 33/22, 36/24, 39/26, 42/28, 45/30, 48/32, 51/34, 54/36, 57/38, 60/40

Step-by-step explanation:

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Answer:

slope = - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 5x - 2 ← is in slope- intercept form

with slope m = - 5

Answer:

87

Explanation:

This is an arithmetic sequence with common difference: 7 and first term: 17

Arithmetic sequence:

a + (n - 1)d                    where n is term position, d is difference, a is first term

17 + (n - 1)7

7n + 10

The eleventh term:

7n + 10

7(11) + 10

77 + 10

87

To Find :-

Solution :-

Given A.P.,

First term (a) is 17.

Common difference (d) = 24 - 17 => 7

We know that :

Here n would be 11.

>> t11 = 17 + (11 - 1) 7

>> t11 = 17 + (10) 7

>> t11 = 17 + (10) × 7

>> t11 = 17 + 70

>> t11 = 87

Therefore, eleventh term in the sequence is 87.

Using a quadratic regression equation, it is found that the prediction of the number of songs that Kimberly will download on Month 9 is of:

c. 16.

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, we have that the function initially decreases, then it increases , which means that it is a quadratic function. The points (x,y) to  be inserted into the calculator are given as follows:

(1,8), (2,6), (4,5), (6,7), (7,9)

Inserting these points into the calculator, the prediction of y for a value of x is given as follows:

y = 0.391x² - 2.937x + 10.455

Hence, when x = 9, the prediction is:

y = 0.391 x 9² - 2.937 x 9 + 10.455

y = 15.69

Rounded to 16, hence option c is correct.

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Answer:

x - intercept: (3, 0)

y - intercept: (0, 9)

Step-by-step explanation:

This equation is written in standard form,

To find the intercepts it would be easier to put the equation in

slope-intercept form y = mx + b

9x + 3y = 27

subtract 9x from both sides

(9x - 9x) + 3y = 27 - 9x

3y = 27 - 9x

Divided both sides by 3

3y / 3 = 27 - 9x / 3

y = 27 / 3 - 9x / 3

y = - 3x + 9

Now we can plug in x = 0, to find y - intercept:

y = - 3(0) + 9

y = 0 + 9

y = 9

Now we can plug in y = 0, to find x - intercept:

0 = - 3x + 9

0 - 9 = - 3x + 9 - 9

-9/3 = -3x/3

-3 = -x

3 = x

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Step-by-step explanation:

we have 2 blocks, as the graphic shows.

the surface areas of both blocks are the sum of their 6 sides each.

the special thing about seeing them as "composite figure" is that 2 sides (one for each block) are partly or even completely blocking each other off from being seen, so these parts and whole side are not part of the combined surface area.

let's start with the large block :

it is 5cm × 6cm × 20cm.

its surface area is the sum of

top and bottom 5×6

front and back 20×5

left 20×6

visible right (20 - 12)×6 = 8×6

it is (20-12)cm long, because the short block

is 12cm high.

so, we have

2 times 5×6 =2×30 = 60 cm²

2 times 20×5 = 2×100 = 200 cm²

20×6 = 120 cm²

8×6 = 48 cm²

in total : 428 cm²

now the small block :

it is 4cm × 6cm × 12cm.

its surface area is the sum of

top and bottom 4×6

front and back 4×12

no left (completely covered by the large block)

right 6×12

so, we have

2 times 4×6 = 2×24 = 48 cm²

2 times 4×12 = 2×48 = 96 cm²

6×12 = 72 cm²

in total : 216 cm²

the complete surface area of the composite figure is

428 + 216 = 644 cm²