Factor: 3.x2 + 7x + 2​

Answer: 23

Step-by-step explanation: because you subtract

Answer:

See Below.

Step-by-step explanation:

We have the expression:

[tex]5^5-5^4+5^3[/tex]

And we want to prove that it is divisible by 7.

To do so, we can factor out a 5³ from the expression. This yields:

[tex]=5^3(5^2-5^1+1)[/tex]

Simplify the parentheses:

[tex]=5^3(25-5+1)=5^3(21)[/tex]

We can see that the resulting expression is a value being multiplied by 21.

Since 21 is divisible by 7, our original expression must also be divisible by 7.

Hence proven.

Answer:

Step-by-step explanation:

Answer:

- The value of the 2 test statistic is 6.98

- There is no sufficient evidence to reject the claim of the specific distribution

Step-by-step explanation:

Given

Proportion (p)

[tex]ABC = 29\% = 0.29\\CBS = 28\% = 0.28\\NBC = 25\% = 0.25\\Others = 18\% = 0.18\\[/tex]

Samples

[tex]ABC = 95\\CBD = 65\\NBC = 87\\Others = 53\\\alpha = 0.05[/tex]

First, we formulate a table for chi square totals:

[tex]x^2 = \frac{(O - E)^2}{E}[/tex]

Where

O = Observed Frequency and E = Expected Frequency

So, we have:

[tex]\begin{array}{cccccc}{\ } & {O} & {E = np} & {O - E} & {(O -E)^2} & {x^2 = \frac{(O - E)^2}{E}} \ \\ \\ {0.29} & {95} & {87} & {8} & {64} & {0.736} &{0.28} & {65} & {84} & {-19} & {361} & {4.300} & {0.25} & {87} & {75} & {12} & {144} & {1.920} & {0.18} & {53} & {54} & {-1} & {1} & {0.019}\ \end{array}[/tex]

For ABC

[tex]E = np = 300 * 0.29= 87[/tex]

[tex]O-E =95 - 87 = 8[/tex]

[tex](O-E)^2 = 8^2 = 64[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{64}{87} = 0.736[/tex]

For CBS

[tex]E =np = 300 * 0.28 = 84[/tex]

[tex]O -E = 65 - 84 = -19[/tex]

[tex](O -E)^2 = (-19)^2 = 361[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{361}{84} = 4.300[/tex]

For NBC

[tex]E =np = 300 * 0.25 = 75[/tex]

[tex]O -E = 87 - 75 = 12[/tex]

[tex](O -E)^2 = (12)^2 = 144[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{144}{75} = 1.920[/tex]

For others:

[tex]E = np = 300 * 0.18 =54[/tex]

[tex]O - E = 53 - 54 = -1[/tex]

[tex](O - E)^2 = (-1)^2= 1[/tex]

[tex]x^2 = \frac{(O - E)^2}{E} = \frac{1}{54} = 0.019[/tex]

[tex]\sum x^2 = 0.736 + 4.300 + 1.920 + 0.019[/tex]

[tex]\sum x^2 = 6.975[/tex]

[tex]\sum x^2 = 6.98[/tex] --- approximated

The value of the 2 test statistic is 6.98

Next, is to determine the p value:

Calculate the degree of freedom

[tex]df = n - 1[/tex]

[tex]df = 4 - 1[/tex]

[tex]df = 3[/tex]

Using the [tex]x^2[/tex] table in the 3rd row,

[tex]\sum x^2 = 6.98[/tex] corresponds to:

[tex]p = 0.072699[/tex]

The value of p is:

[tex]0.05 < P < 0.10[/tex]

This implies that, we fail to reject H o

Answer:

6 cubics are from distance away :))) hope this helps

Step-by-step explanation:

Answer:

x=2,y=3

Step-by-step explanation:

x-2=0

x=2

y-3=0

y=3

Answer:

A=3

B=3

C=2.5

D=5

E=1

F=2

G=4

Here you go! Happy to help!

Step-by-step explanation:

Answer:

Rate per litre=180km ÷ 20l

=8km/l

Answer:

Acute angle, Obtuse angle, and Zero angle

Answer:

angle RSU.

angle RST

angle UST

Answer:

54.

Step-by-step explanation:

( 8 + √ 10 ) ( 8 − √10)

= 8*8  - 8√10 + 8√10  +√10 *  -√10

= 64 -  8√10 + 8√10 - 10

The 2 middle turns cancel out so we have:

64 - 10

= 54.

Answer:

462.30m

Step-by-step explanation:

1 month = $462.30

You multiply by the number of months to find how much she made over that time so $462.30 * m = 462.30m

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

line 1 is H

line 2 is C

line 3 is D

line 4 is G  

:)

Answer:

Step-by-step explanation:

[tex]\frac{11xy^{2}z^{3}}{55xyz}=\frac{1xy^{2}z^{3}}{5xyz}\\\\=\frac{1}{5}x^{1-1}*y^{2-1}*z^{3-1}\\\\=\frac{1}{5}x^{0}*y{1}*z^{2}\\\\=\frac{1}{5}yz^{2}[/tex]

Hint:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{0}=1[/tex]

Answer:

The correct option is;

False

Step-by-step explanation:

The equation of the graphs of conic sections (all of which can have axis of symmetry that can be oriented parallel to the y-axis) includes;

Circle; (x - h)² + (y - k)² = r²

Parabola; y = a·(x - h)² + k

[tex]Ellipse; \dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]

[tex]Hyperbola; \dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]

The graph of a quadratic equation in two variables whose axis of symmetry is parallel to the y-axis can be either a circle, a parabola, an ellipse, or an hyperbola

Therefore, the graph may not be the graph of a parabola and the statement is false

Answer:

The correct answer is True

Step-by-step explanation:

I took the quiz and got it right.

Answer:

270 degrees

Step-by-step explanation:

hexagons have 5 sides and a five-sided shape has a sum of 540 degrees interior angle so 160+170+90 (because the square in the corner is a right angle which always equals 90 degrees) =420 so minus 420 from 540 to get 120+150 which equals 270 degrees. hope this helped.

Answer:

This is your answer ☺️☺️☺️

Answer:

B

Step-by-step explanation:

100% is unknown 100:20 is 5

8,000*5=40,00

Hexagon has six edges. The figure you're trying to figure out is hexagon I guess.

Answer:

Change the minus sign to a plus. 2. ... 24. = 8. 11. 24. Find each quotient. 1. 1. 3. 1. 6. 2. 5. 8. 1. 16. 2. 1. 3 x. 6. 1 = 6 ... Write a variable expression to represent the word phrase.

The correct expression for the given condition is,

⇒ (16 ÷ 8) + 24

An expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.

We have to given that;

The algebraic expression is,

''add 24 to the quotient of 16 and 8.''

Now, We can write the expression as;

Quotient of 16 and 8 is,

⇒ 16 ÷ 8

And, Add 24 to the quotient of 16 and 8.

⇒ (16 ÷ 8) + 24

Thus, The correct expression for the given condition is,

⇒ (16 ÷ 8) + 24

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Answer:

2/6 or 1/3

Step-by-step explanation:

cant really explain but I did this

full question plsAnswer:

Step-by-step explanation:

Answer:

200+ 40h= c

Step-by-step explanation:

Answer:

$2.65

Step-by-step explanation:

Answer:

−27a^(15)

Step-by-step explanation:

Answer:

p=0, p=.25

Step-by-step explanation:

p*(4p-1)=0

p=0. when the product of factors equals zero at least one factor is zero

4p-1=0

p=1/4 or .25

Answer:

scalene triangle

..... .