25 points. Which problem will graph as shown?

A) 3x - 5 ≥ -14
B) 3x - 5 ≤ -14
C) 3x - 5 > -14
D) 3x - 5 < -14

Answer:

The standard deviation of the given data set

 σ =  2.135

Step-by-step explanation:

Step(i):-

Given numbers are 4 2 8 5 7

Mean of the numbers

 \(= \frac{4+2+8+5+7}{5}\)

= 5.2

The mean of the numbers (μ) = 5.2

Step(ii):-

x        :    4         2       8        5         7

x-μ     :   -1.2   -3.2     2.8    -0.2     1.8

(x-μ)² :   1.44    10.24  7.84  0.04    3.24

The standard deviation of the given data

            σ = √Σ( x-μ)² / N

           σ  = \(\sqrt{ \frac{1.44+10.24+7.84+0.04+3.24}{5}}\)

            σ =  2.135

The  probability that the number showing on die B will be greater than the number on die A is also 5/12 or approximately 0.417.

The outcomes of rolling two dice can be represented by a table of all possible combinations of numbers on the two dice. There are 36 possible outcomes in total, since each of the six faces of the first die can be paired with any of the six faces of the second die.

To find the probability that the number showing on die A will be greater than the number on die B, we can count the number of outcomes where this is true and divide by the total number of outcomes. There are 15 outcomes where the number on die A is greater than the number on die B, as shown in the table below:

| Die A | Die B |
|-------|-------|
|   2   |   1   |
|   3   |   1   |
|   4   |   1   |
|   3   |   2   |
|   4   |   2   |
|   5   |   1   |
|   5   |   2   |
|   4   |   3   |
|   5   |   3   |
|   6   |   1   |
|   6   |   2   |
|   5   |   4   |
|   6   |   3   |
|   6   |   4   |
|   6   |   5   |

Therefore, the probability that the number showing on die A will be greater than the number on die B is 15/36, which simplifies to 5/12 or approximately 0.417.

Similarly, we can count the number of outcomes where the number on die B is greater than the number on die A. There are also 15 such outcomes, as shown in the table above. Therefore, the probability that the number showing on die B will be greater than the number on die A is also 5/12 or approximately 0.417.

Visit to know more about Probability:-

brainly.com/question/13604758

#SPJ11

The prove that BOC = 90° + A/2. is given below:

Note that, bisectors of angles B and C and that of a triangle ABC is one that pass across each other at the point O.

Hence: one need to to prove that ∠BOC = 90° + A/2

Since:

BO is said to be the bisector of angle B e.g. ∠OBC = (∠1)

CO is said to be the bisector of angle C e.g.  ∠OCB = (∠2)

Looking at the triangle BOC, to interpret  by the use of angle sum property, then:

∠OBC + ∠BOC + ∠OCB = 180°

∠1 + ∠BOC + ∠2 = 180° ---- ( equation 1)

Looking at triangle ABC and by the use of angle sum property, So;

∠A + ∠B + ∠C = 180°

∠A + 2(∠1) + 2(∠2) = 180°

Then we divide by 2 on the two sides, and it will be:

∠A/2 + ∠1 + ∠2 = 180°/2

∠A/2 + ∠1 + ∠2 = 90°

∠1 + ∠2 = 90° - ∠A/2 ---(equation 2)

Then one need to Substitute (2) in (1), So:

∠BOC + 90° - ∠A/2 = 180°

∠BOC - ∠A/2 = 180° - 90°

∠BOC - ∠A/2 = 90°

Hence , ∠BOC = 90° + ∠A/2

Therefore, from the above, we care able to prove that BOC = 90° + A/2.

Learn more about bisector from

https://brainly.com/question/11006922

#SPJ1

The congruent corresponding parts are PQ & TS, QR & SR and PR & TR

From the question, we have the following parameters that can be used in our computation:

PQR is congruent TSR

using the above as a guide, we have the following:

When two points are combined, we have the congruent corresponding parts to be:

Read more about similar shapes at

https://brainly.com/question/14285697

#SPJ1

Given that the line on the graph increases from 0 to 4 and then decreases from 4 to 9, it is a quadratic regression.

Quadratic regression is a type of regression analysis in which the relationship between the independent variable x and the dependent variable y is modeled as a second-degree polynomial function of x.

In quadratic regression, the data is fit to an equation of the form:

y = a + bx + c\(x^{2}\)

where y is the dependent variable, x is the independent variable, and a, b, and c are coefficients that are determined through the regression analysis.

To identify if quadratic regression is appropriate for a given set of data, we can plot the data on a scatterplot and visually examine whether the relationship between the independent and dependent variables appears to form a parabolic curve. If the data appears to follow a U-shape or a curve that looks like a parabola, then quadratic regression may be an appropriate method for modeling the relationship.

Here also it is given that graph increases up to 4 and then decreases till 9. It appears as the plot of the parabola as it increases in the range of 0 to 4 and then decreases from point 4 to 9. It fulfills the condition of quadratic regression.

Learn more about Quadratic regression;

https://brainly.com/question/17018837

#SPJ4

The complete question is given below-

A graph shows the horizontal axis numbered 2 to 8 and the vertical axis numbered 10 to 50. a line increases from 0 to 4 then decreases from 4 to 9. Which type of regression is quadratic, or exponential regressions?

Answer: c

Step-by-step explanation:

on edge 2023

The effect on the correlation coefficient if the additional data point was added would be a decrease.

The correlation coefficient is a measure of the linear relationship between two variables. A value of 0.93 indicates a strong positive linear relationship. The additional data point (7,30) is an outlier, meaning that it is far away from the rest of the data points.

Outliers can have a significant impact on the correlation coefficient, especially if there are few data points. In this case, the outlier would pull the correlation coefficient down. The new correlation coefficient is approximately 0.85.

Find out more on correlation coefficient at https://brainly.com/question/28196194

#SPJ4

Answer:

the roc is 10

Step-by-step explanation:

Answer:

1,2,4,5

Step-by-step explanation:

Answer:

line DB, H, and D

Step-by-step explanation:

Since Callie cannot make a fraction of a necklace, she can make a maximum of 5 necklaces from the given length of leather cord.

To determine the number of necklaces Callie can make from the given length of leather cord, we need to convert the measurements to a consistent unit.

Given:

Length of leather cord = 4 yards

Length of each necklace = 28 inches

First, let's convert the length of the leather cord from yards to inches:

1 yard = 36 inches (since there are 3 feet in a yard and 1 foot = 12 inches)

4 yards = 4 * 36 = 144 inches

Now we can calculate the number of necklaces:

Number of necklaces = Length of leather cord / Length of each necklace

Number of necklaces = 144 inches / 28 inches ≈ 5.143

Know more about length here:

https://brainly.com/question/9842733

#SPJ11

In a hypothesis testing context, before examining the data, one should typically decide whether the alternative hypothesis is one-sided or two-sided. This decision is based on the specific research question and the expected direction of the effect being tested.

It helps determine the appropriate statistical test and the formulation of the null and alternative hypotheses.

The computation of the p-value and the decision of whether or not to reject the null hypothesis are made after examining the data and conducting the statistical analysis. The p-value is a measure of the strength of the evidence against the null hypothesis, and it is compared to a predetermined significance level to make a decision. If the p-value is below the significance level, the null hypothesis is typically rejected in favor of the alternative hypothesis.

Therefore, the correct answer is (c) decided whether the alternative hypothesis is one-sided or two-sided.

To learn more about  Hypothesis - brainly.com/question/31319397

#SPJ11

The correct steps that best describe the scientific method are:

The scientific method has five basic steps, plus one feedback step:

The scientific method is a systematic approach to scientific inquiry that involves a series of steps used to investigate, test, and understand natural phenomena

The process of the scientific method involves making conjectures (hypotheses), deriving predictions from them as logical consequences, and then carrying out experiments or empirical observations based on those predictions.

Read more about the scientific method here:

https://brainly.com/question/17216882

#SPJ1

The amount of Chemical  B needed is 1.6 g.

This refers to a diagram that shows a series of one or more points, lines, line segments, curves, or areas that represents the variation of a variable when compared with that of one or more other variables.

The quantity of Chemical B is plotted against the quantity of  Chemical A.

Chemical B  is plotted on the vertical axis using the scale of 1 cm to represent 2 units. Chemical A is plotted on the horizontal axis using the scale of 1 cm to represent 1 unit.

Therefore, on the graph, the line passing through the origin of the graph shows that when  1.4 g of Chemical A is used  1.6 g of Chemical B is needed.

Chemical B  is plotted on the vertical axis using the scale of 1  cm to represent 2 units.

To get the amount of Chemical B is  on vertical axis =  2 grams

                                                                                             5 boxes

                                                                                       =0.4 g

Tracing the mass of Chemical A used 1.4 g it meets the line passing through the center at 4th line (4th box).

To get the amount of Chemical B is  on vertical axis = amount of Chemical B per box * the number of line (boxes).

To get the amount of Chemical B is  on vertical axis = 0.4 g * 4 lines (boxes)

                                                                                        = 1.6 g

Hence The amount of Chemical  B needed is 1.6 g.

Learn more about graphs on

https://brainly.com/question/12542601

#SPJ1

The lessons can a student take if they pay no more than $175 is 25x + 50 < 175.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age 12. This is a real-world example of an inequality.

given:

Per lesson charges= $25

Recital f= $50

Total money can be spend= $175

let the number of lessons taken be x.

So, the inequality is

25x + 50 < 175

Learn more about Inequality here:

https://brainly.com/question/28823603

#SPJ1

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Area = length x breadth

To find the surface area of the postal box, we first find the area of each sides of the box and add them together.

Top and bottom area = L x B = 12 x 8 = 96inches² x 2 = 192inches²

Front and back areas = L x B = 12 x 2 = 24inches² x 2 = 48inches²

Area of the sides = L x B = 8 x 2 = 16inches² x 2 = 32inches²

Total surface area will be 192 + 48 + 32 = 272inches²

To learn more visit https://brainly.com/question/287426

#SPJ1

Answer:

Its G

Step-by-step explanation:

Answer:

It is tomato plant

Step-by-step explanation:

- The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. - - - The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.

Answer:

41 inches

Step-by-step explanation:

Let the point at the top of the door on the left be x

Wx + xH = 45

Let the point at the top of the door  on the right be c

Yc + cZ = 37

We know the door is

xH +  plus the width of the tile

The width of the tile is Yc

xH + Yc

On the right door

cZ +  the height of the tile

cZ + Wx

Add the two doors together

xH + Yc + cZ + Wx = 2 times the height of the door

Rewriting

xH +  Wx +  Yc + cZ = 2 times the height of the door

45+ 37 = 2 times the door height

82 = 2 times the door height

Divide by 2

41 = door height

Answer:

115°

Step-by-step explanation:

in a parallelogram vertically opposite angles are equal.

m∠MNK=m∠KLM=115°

Answer:

Step-by-step explanation:

1. 5(-2x-6)

-10x-30

If you want to find x, set this to 0

-10x-30=0 add 30 to both sides

-10x=30  divide by -10

x=-3

2. x-30 is simplified

Answer:

-10

Step-by-step explanation:

Answer: 8 17/18

Step-by-step explanation:

6 5/6 + 2 1/9

Turn to improper fractions

41/6 + 19/9

Find LCM

LCM = 18

123/18 + 38/18 = 161/18

8 17/18

Answer:

\(16x^2 + 18y\) units

Step-by-step explanation:

The perimeter of a rectangle is \(2l+2w\), where l and w are the length and width respectively. Since we know the value of the length and width, we can substitute inside the equation.

\(2(x+5y) + 2(8x^2 - x + 4y)\\\\2x + 10y + 16x^2 - 2x + 8y\)

We can now combine like terms to get \(16x^2 + 18y\).

Hope this helped!

Answer:

right 5 down 3, I believe

Step-by-step explanation:

such an equation is a simple linear function :

y = ax + b

b is in this case the flat fee, and a (the slope) drives the incline of the function for various numbers of students x.

our job is now to find the correct a and b values.

we do this by using the informative we have and create 2 equations for a and b, and then we solve this system.

132.5 = a×25 + b

145 = a×30 + b

now, we can use a little trick and simply subtract the whole first equation from the second equation.

145 = a×30 + b

- 132.5 = a×25 + b

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

12.5 = a×5 + 0

5a = 12.5

a = 2.5

with this we go into one of the original equations, e.g. the second one :

145 = 2.5×30 + b = 75 + b

70 = b

so, it full equation is

y = 2.5x + 70

the costs for 85 students are

y = 2.5×85 + 70 = 212.5 + 70 = $282.50

Answer:

=2156d+2772

Step-by-step explanation:

We need to know about test statistic to solve the problem. The formula we will need to calculate test statistic is  (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))

Test statistic is a number calculated by a statistical test. It describes how far the observed data is from the null hypothesis of no relationship between variables or no difference among sample groups. The test statistic can be calculated using the sample mean, the population mean and population standard deviation.

test statistic= (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))

Therefore the formula to calculate the test statistic will be (sample mean- population mean)/(standard deviation/\(\sqrt{size of sample}\))

Learn more about test statistic here:

https://brainly.com/question/14287628

#SPJ4

Answer:

149

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence.

5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3

This indicates the sequence is arithmetic with n th term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , thus

a₅₀ = 2 + (49 × 3) = 2 + 147 = 149

The visibility requirement is 3 statute miles, and cloud clearance requires maintaining 500 feet below, 1,000 feet above, and 2,000 feet horizontally from clouds during VFR daylight operations over Coopers Town.

The visibility and cloud clearance requirements to operate VFR during daylight hours over the town of Coopers Town between 1,200 feet AGL and 10,000 feet MSL are as follows:

1. Visibility: The minimum visibility required is 3 statute miles.

2. Cloud clearance: Maintain a distance of at least 500 feet below, 1,000 feet above, and 2,000 feet horizontally from clouds.

According to VFR regulations, pilots flying during daylight hours must adhere to certain visibility and cloud clearance requirements for safety. The visibility requirement of 3 statute miles means that the pilot must have a clear horizontal view of at least 3 miles ahead.

This ensures sufficient visual reference to navigate and avoid other aircraft or obstacles.

Regarding cloud clearance, pilots must maintain a safe distance from clouds to ensure visibility and separation from potential hazards. The requirement is to remain at least 500 feet below clouds to avoid inadvertently entering them.

Additionally, pilots must maintain a minimum of 1,000 feet above clouds to prevent the risk of collision or reduced visibility due to cloud turbulence. Lastly, a horizontal separation of 2,000 feet from clouds helps ensure adequate maneuvering space and visual reference in relation to cloud formations.

These visibility and cloud clearance requirements help maintain safety and situational awareness for VFR operations during daylight hours over Coopers Town.

To know more about Cloud clearance, refer here:

https://brainly.com/question/31665470#

#SPJ4

Answer:

\( \frac{3(x + 4)(x + 1)}{(x + 2)(x - 2)} \\ x = 4 \\ then \frac{3(4 + 4)(4 + 1)}{(4 + 2)(4 - 2)} \\ = \frac{3 \times 8 \times 5}{6 \times 2} \\ = \frac{120}{12} = 10 \\ thank \: you\)