Find the greatest common factor.
14x4, 22x7

Step-by-step explanation:

graduated from Booker T. Washington High School and was admitted to Morehouse College at age 15. Graduates from Morehouse college and enters Crozer Theological Seminary.

Testing the hypothesis, it is found that the p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.

At the null hypothesis, we test if the proportion is of 40%, that is:

[tex]H_0: p = 0.4[/tex]

At the alternative hypothesis, we test if the proportion is greater than 40%, that is:

[tex]H_1: p > 0.4[/tex]

The test statistic is:

[tex]Z = \frac{X - p}{s}[/tex]

In which:

[tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]

With n as the sample size.

In this problem:

[tex]s = \sqrt{\frac{0.4(0.6)}{3}} = 0.283[/tex]

The value of the test statistic is:

[tex]Z = \frac{X - p}{s}[/tex]

[tex]Z = \frac{1 - 0.4}{0.283}[/tex]

[tex]Z = 2.12[/tex]

The p-value is the probability of finding a sample proportion of 1 or "above", which is 1 subtracted by the p-value of Z = 2.12.

The p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.

A similar problem is given at https://brainly.com/question/24166849

Answer:

5. yes It still has the same density because it is the same thing.

6. a. float   less than one

b. Float less than one

C. Sink   greater than one

7. 1652.4 This is because the density equation is mass/volume. We have the density and mass but no volume. do get it we need to re arrange the equation. mass x density = volume.

Step-by-step explanation:

Thirty-eight thousand, four hundred and ninety-two

Simply write out the number as you would say it out loud!

Answer:

A. Cosine

Step-by-step explanation:

It is cosine because ADJ/HYP is Cosine in Soh Cah Toa.

The ratio adjacent/hypotenuse shows the Cosine function.

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

We have,

To find the ratio equivalent to Adjacent / Hypotenuse.

We know that the ratio of an angle's perpendicular (opposite) side to its hypotenuse is known as its sine.

and, Cosine of an angle is defined as the ratio of the side adjacent to that angle to the hypotenuse.

or Cosine ratio = Adjacent/ Hypotenuse

Learn more about Trigonometry here:

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It is observed that point (18, 206) does not lie on the line. Then the correct option is D.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation is given below.

y = 12x

Where 'y' represents the number of gallons of water in the pool and 'x' represents the number of minutes the water runs.

The equation is drawn below.

From the chart, it is seen that point (18, 206) doesn't lie on the line. Then the right choice is D.

More about the linear equation link is given below.

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Differentiate both sides of

[tex]x^{2/3} + y^{2/3} = 4[/tex]

implicite with respect to x :

[tex]\dfrac23 x^{-1/3} + \dfrac23 y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]

Solve for the derivative dy/dx :

[tex]x^{-1/3} + y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = - x^{-1/3} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{x^{-1/3}}{y^{-1/3}} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\left(\dfrac yx\right)^{1/3}[/tex]

Get the slope at the given point (-3√3, 1) :

[tex]\dfrac{\mathrm dy}{\mathrm dx}(-3\sqrt3,1) = -\left(\dfrac{1}{-3\sqrt3}\right)^{1/3} = \dfrac1{(3\sqrt3)^{1/3}} = \dfrac1{\sqrt3}[/tex]

Then the equation of the tangent line to the curve through (-3√3, 1) is

[tex]y - 1 = \dfrac1{\sqrt3}(x+3\sqrt3) \\\\ \boxed{y = \dfrac1{\sqrt3}x + 4}[/tex]

8n -2n=7+5

6n =12

n =2

this is the answer

Answer:

First box is 7x + 21, because when you distribute, you are multiplying the term on the outside of the paranthesis with the term(s) on the inside of the paranthesis.

Second box is 21 + 7x, because the communitive property is basically the same except the terms may be flipped. (Nothing else is different, all terms and signs stay the same, and has the same product/answer.)

Step-by-step explanation:

Hope this makes sense.

Please tell me if I'm wrong :)

Answer:

wrong you for the points you bozzo

Answer:

C or B

Step-by-step explanation:

because you have to think and just because the numbers are in order dont mean nun so the most answer that makes sense is C

Answer:

124/ 225

see photos for step to step solution

Answer:

1.(x-7)(x+2)=x^2-7x+2x-14=x^2-5x+14

2.(x+5)(x-1)=x^2-x+5x-5=x^2+4x-5

3.-2(x+1)(x-2)=-2(x^2-2x+x-2)=-2(x^2-x-2)=-2x^2+2x+4

Let architect s income be x

AtQ

[tex]\\ \sf\longmapsto x+2x-34=215[/tex]

[tex]\\ \sf\longmapsto 3x-34=215[/tex]

[tex]\\ \sf\longmapsto 3x=249[/tex]

[tex]\\ \sf\longmapsto x=83[/tex]

[tex]\\ \sf\longmapsto 2x-34=166-34=132[/tex]

Using it's concepts, it is found that the domain and the range of the inverse function are given as follows:

In an inverse function, the domain and the range are exchanged, hence, considering the original function, for the inverse function we have that:

More can be learned about domain and range at https://brainly.com/question/10891721

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Answer:

Approximately there are 119.47 students per week

Step-by-step explanation:

The # of students in the sample study between 9.7 and 17.7 hrs per week;

P (9.7 < x < 17.7) =  P ((9.7 - 13.7)/4 < 7 < (17.7-13.7)/4)

P (-4/4 < 7 < 4/4)

P (-1 < 7 < 1)

0.8413 - 0.1587

0.6827

Therefore the # of student = n P

175 * 0.6827

119.47

Answer:

2,5 I'm guessing

Step-by-step explanation:

because two up and five to the right even though its kinda blurry

Answer:

2 11/12

Step-by-step explanation:

The average of 2 ⅓ and 3 ½ is 2 ‌11⁄12‌. To find the average, find the sum of the fractions and divide by 2.

2 ⅓ + 3 ½ = ‌7⁄3‌ + ‌7⁄2 = ‌14⁄6 + ‌21⁄6 = ‌35⁄6 or 5 5⁄6

5 5⁄6 ÷ 2 = 35⁄6 × 1⁄2 = 35⁄12 or 2 11⁄12

The average of 2⅓ and 3½ is 2 11/12

2⅓ + 3½ = 7/3 + 7/2 = 14/6 + 21/6 = 35/6 or 5/6

5 5/6 ÷ 2 = 35/6 × 1/2 = 35/12 or 2 11/12

Finding the Average

Average refers to the sum of the values divided by the count. Therefore, the steps to follow to find the average are below:

Add the given values.

Divide the sum by the count of values.

Equation:

(2 1/3 + 3 1/2) / 2 = ?

Solution:

(2 1/3 + 3 1/2) / 2 = ?

* Change the mixed numbers to improper fractions.

= (7/3 + 7/2) / 2

* Add the fractions. Find the LCD.

= (14/6 + 21/6) / 2

= ( 35/6 ) /2

To divide change the sign to multiplication, The give the reciprocal of the second fraction

= 35/6 × 1/2

= 35/12 or 2 11/12

Final Answer:2 11/12

Answer:

1< x <5

Step-by-step explanation:

1<3x−2<13

1+2<3x−2+2<13+2 (Add 2 to all parts)

3<3x<15

33<3x3<153 (Divide all parts by 3)

1< x <5

Answer:

(1,5)

Step-by-step explanation:

Answer:

−101430

Step-by-step explanation:

Pictomath lol

Answer:

1 in²

Step-by-step explanation:

The area of the triangle calculated using the area formula is 1 in²

Given the Parameters :

Base of triangle = 16 inches

Height of triangle = 1/8 inches

Area of a triangle can be obtained using the relation :

Area = 1/2 × base × height

Substituting the Parameters into the equation :

Area of triangle = 1/2 × 16 × 1/8 = 1 in²

Therefore, the area of the triangle is 1 in²

Answer:

No! Both are wrong!

Step-by-step Explanation:

the value of absolute function, (|.|) is always positive

that means -6x always has to be positive

and for -6x to be positive x has to be negative

(since, two negatives make a positive)

therefore, the value of x to the equation will be a negative value and not a positive one.

Ana thinks both positive and negative values of x will be the solution, whereas Ling thinks negative value of x can't be a solution. So, they're both wrong.

ONLY negative value of x will be the solution.

35

(-7) • (-5)

= 7 • 5

= 7 + 7 + 7 + 7 + 7

= 14 + 7 + 7 + 7

= 21 + 7 + 7

= 28 + 7

= 35

[tex] [/tex]

Answer:

Step-by-step explanation:

Use  the points (0, 5) and (6, 0).

The slope is:

Compare the absolute value of slopes:

The slope of the line A is shallower (or less steep, use the corresponding word from the drop down list) of slope of line B.

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Answer: 15 stickers

Step-by-step explanation: 5*5=25         40-25=15

Answer:

26 5/6

Step-by-step explanation:

make improper fractions by multiplying whole number and denominator, then adding the numerator

(5*4+3)/4 * (4*3+2)/3

23/4 * 14/3

322/12

161/6

26 5/6

Answer: 40

Step-by-step explanation:

15 / 37.5 x 100 = 40

Answer:

five ninths plus four sixths is sixty six fifty four