From which equation would you perform the distributive property on first, before performing any inverse operations?
2x=30
3(x-9) = 40
2/3x - 8 = 22
3x + 20 = 26

Answer:

El polinomio final es:

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

Step-by-step explanation:

Agrupemos los términos con las mismas variables:

[tex](\frac{2}{3}xy^{2}-\frac{1}{3}xy^{2})+(2x-5x)+\frac{2}{3}x^{2}y=[/tex]

Sumemos estos terminos:

[tex]=\frac{1}{3}xy^{2}-3x+\frac{2}{3}x^{2}y=[/tex]

Podemos ver que los tres terminos tienen x, asi que podemos factorizar x.

Por lo tanto el polinomio final es:

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

Espero te haya servido.

El resultado de simplificar  [tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex] es

[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]

El polinomio que queremos simplificar es

[tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex]

primero, recopilamos términos similares

[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x[/tex]

luego simplificamos los términos similares. Es decir

Para el [tex]xy^2[/tex] términos:

[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2=(\frac{2}{3}-\frac{1}{3})xy^2\\\\=(\frac{1}{3})xy^2=\frac{1}{3}xy^2[/tex]

y para el [tex]x[/tex] términos:

[tex]2x-5x=(2-5)x\\=(-3)x=-3x[/tex]

la [tex]x^2y[/tex] términos ya está simplificado. Así que déjalo así.

Este es el trabajo total:

[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x\\\\=(\frac{2}{3}-\frac{1}{3})xy^2+\frac{2}{3}x^2y+(2-5)x\\\\=(\frac{1}{3})xy^2+\frac{2}{3}x^2y+(-3)x\\\\=\frac{1}{3}xy^2+\frac{2}{3}x^2y-3x[/tex]

Incluso podemos factorizar la respuesta final para obtener

[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]

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Answer:

$720 divided by 2 = $360

$360-106=$254

$360+106=$466

$254+$466=$720

Person 1 has $254

Person 2 has $466

Answer:

angle VPQ = 83°

I hope this may be helpful

Answer:

31.4

Step-by-step explanation:

5 x 2 = 10

Use 3.14 for π.

10 x 3.14 = 31.4 yards

Answer:

ŷ = 7.02895X1 + 12.6959X2 - 170.33728

Since the calculated F=32 falls in the critical region F ≥ 9.55 we reject our null hypothesis and conclude that there is association between at least one of the regressors and the dependent variable.

Step-by-step explanation:

Using stat calculator:

Part A:

x1         x2            y              Predicted Y          Residual

13        11         62.8739       60.693967        2.179933

15        11        76.1328         74.751867          1.380933

13        13        87.4667       86.085767         1.380933

15        13       102.3236      100.143667        2.179933

14         12      76.1872         80.418817         -4.231617

14        12        77.5287        80.418817         -2.890117

mean

14        12       80.418817     80.418817           0            

standard deviation

0.89 0.89      13.2812       12.979739       2.813451        

Calculation

Sum of X1 = 84

Sum of X2 = 72

Sum of Y = 482.5129

Mean X1 = 14

Mean X2 = 12

Mean Y = 80.4188

Sum of squares (SSX1) = 4

Sum of squares (SSX2) = 4

Sum of products (SPX1Y) = 28.1158

Sum of products (SPX2Y) = 50.7836

Sum of products (SPX1X2) = 0

Regression Equation = ŷ = b1X1 + b2X2 + a

b1 = ((SPx1y)*(SSx2)-(SPx1x2)*(SPx2y)) / ((SSx1)*(SSx2)-(SPx1x2)*(SPx1x2)) = 112.46/16 = 7.02895

b2 = ((SPx2y)*(SSx1)-(SPx1x2)*(SPx1y)) / ((SSx1)*(SSx2)-(SPx1x2)*(SPx1x2)) = 203.13/16 = 12.6959

a = MY - b1MX1 - b2MX2 = 80.42 - (7.03*14) - (12.7*12) = -170.33728

ŷ = 7.02895X1 + 12.6959X2 - 170.33728

X1-Mx1         X2-Mx2        Y-My               (X1-Mx1)²            (X2-Mx2)²

-1                     -1                 -17.545               1                       1

1                        -1                -4.286               1                       1

-1                       1                  7.048                1                      1

1                        1                  21.905              1                       1

0                       0                -4.232               0                      0

0                       0                 -2.89                0                     0            

                                                             SSX1: 4       SSX2: 4        

SPx1y            SPx2y         SPx1x2

17.545           17.545            1

-4.286            4.286            -1

-7.048             7.048          - 1

21.905             21.905        1

0                        0                0

0                       0                 0                      

SPX1Y:         SPX2Y:           SPX1X2: =0

= 28.116       =50.784                                    

Part B

Coefficient Table

             Coefficient           SE                     t- stat        

x1           -170.337283      33.519576          -5.081725

x2           7.028950         1.816075            3.870408

b            12.695900        1.816075           6.990847    

Part C:

Test for significance of β1 and β2.

State the null and alternate hypotheses as

H0: β1=β2=0

Ha:  At least one of the β1 and β2 is non zero.

The significance level is set at ∝= 0.05

The test statistic to use is

F= MSR/ MSE= MS regression/ MS Residual

which if H0 is true has F distribution with υ1= 2 and υ2= n- 3= 6-3= 3  degrees of freedom.

To set up the ANOVA table we find the necessary sum of squares .

Regression SS ( between y^ and y`) = SSR= 842.368060

Residual SS ( between yi and y^) = SSE=  39.577526

Total SS  = SSR+ SSE= 842.368060+39.577526= 881.945586

ANOVA table

Source                 DF      Sum of Square     Mean Square    F Statistic

Regression

(b/w ŷi and yi) 2    842.368060 421.184030 31.926000

Residual

(b/w yi and ŷi) 3    39.577526          13.192509                  

Total (b/w yi and yi)5      881.945586 176.389117                              

The critical region is F≥F (0.05) (2,3)=9.55

Conclusion:

Since the calculated F=32 falls in the critical region F ≥ 9.55 we reject our null hypothesis and conclude that there is association between at least one of the regressors and the dependent variable.

Answer:

c

Step-by-step explanation:

there

Answer:

use [tex]y^{2}[/tex]~[tex]mx_{1}[/tex]+b to answer your question

Step-by-step explanation:

Answer:

3.5 fluid ounces

Step-by-step explanation:

1/3 * π * r^2 * h

substitute

V = 1/3 * 3.14 * 1.35^2 * 3.3 = 6.3 cubic inch

1 fluid ounce = 1.8 cubic inch

x fluid ounce = 6.3 cubic inch

x = 6.3/1.8

x = 3.5 fluid ounces

Answer:

Step-by-step explanation:

The volume of a circular cone is 1/3*pi*r^2*h

So,

1/3*3.14*1.35^2*3.3=6.3in^3

6.3in^3 * 1floz/1.8in^3= 3.5fl oz

Answer:

3 books

Step-by-step explanation:

Answer:

3 books

Step-by-step explanation:

On the first 1st month Tony gets 11 book but on the second month Tony gets 14

14 books - 11 books = 3 books

There is a pattern of 3 new books each month.

(1 month = 3 new books)

Tony gets 3 additional books every/each month.

Answer: 11 square root 57

Step-by-step explanation:

Answer:

The Square root of 6,897 is 83.04 the alternate form is 11√57

P.S If you feel this answer is satisfactory would you mark it brainiest.

Answer:

D1 to D3: SF = 3 / 2. Equation = 9 / 6 = 3 / 2

D2 to D3: SF = 2. Equation = 9 / 4.5 = 18 / 9 = 2

D3 to D1: SF = 2 / 3. Equation = 6 / 9 = 2 / 3

Step-by-step explanation:

Let me just make sure.

Answer:

180

Step-by-step explanation:

34+2=

36

36 . 5=

180

Answer:

44

Step-by-step explanation:

2x5=10

10+34=44

hope this helped :3

Answer:

for the solve and check:

[tex]2\frac{3}{8}+x=3\frac{1}{4} \\2\frac{3}{8}-2\frac{3}{8}+x=3\frac{1}{4}-2\frac{3}{8}\\\\x=3\frac{1}{4}-2\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

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

[tex]3\frac{3}{8}+x=4\frac{1}{4} \\3\frac{3}{8}-3\frac{3}{8}+x=4\frac{1}{4}-3\frac{3}{8}\\\\x=4\frac{1}{4}-3\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

for the second solve and check:

[tex]4\frac{3}{8}+x=5\frac{1}{4} \\4\frac{3}{8}-4\frac{3}{8}+x=5\frac{1}{4}-4\frac{3}{8}\\\\x=5\frac{1}{4}-4\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

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

[tex]5\frac{3}{8}+x=6\frac{1}{4} \\5\frac{3}{8}-5\frac{3}{8}+x=6\frac{1}{4}-5\frac{3}{8}\\\\x=6\frac{1}{4}-5\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]

Answer:

Step-by-step explanation:

Green picture

x = 2.25 ft = 2 1/4 ft

we substitute 2 1/4 for x

x = 2 1/4 ft

3 3/4 ft + 2 1/4 ft  = 6 ft

6 ft = 6 ft

Since 6ft is equal to 6ft...

Blue picture

It is 2 1/4 ft long

we substitute 7/8 ft for x

since 2 1/4 ft is equal ...

Yellow picture

2 3/8 ft - 2 3/8 ft + x = 3 1/4 ft - 2 3/8 ft

x = 3 1/4 ft - 2 3/8 ft

x = 7/8 ft

Check

x = 7/8 ft

2 3/8 ft + 7/8 ft = 3 1/4 ft

3 3/8 ft - 3 3/8 ft + x = 4 1/4 ft - 3 3/8 ft

x= 4 1/4 ft - 3 3/8 ft

x = 7/8 ft

check

x = 7/8 ft

3 3/8 ft + 7/8 ft = 4 1/4 ft

red picture

4 3/8 ft - 4 3/8 ft + x = 5 1/4 ft - 4 3/8 ft

x = 5 1/4 ft - 4 3/8 ft

x = 7/8 ft

check

x = 7/8 ft

4 3/8 ft + 7/8 ft = 5 1/4 ft

Answer:

5 cups is greater then 32 fl oz

Step-by-step explanation:

First, we change fl oz to cups, for it is easier to do.

Next, when we change 32 fl oz, it is going to be

32 fl oz=4 cups

Last, it is obvious that 5 cups is greater than 32 fl oz.

32 fl oz< 5 cups

This is correct!

Please mark me brainliest and have a  nice day! :)

Answer:

x = 3

Step-by-step explanation:

From the given parallelogram;

m<XWC = m<XYC

Given

m<XWC = 2x+5

m<XYC = 3x+2

Equate

2x+5 = 3x+2

2x - 3x = 2 - 5

-x = -3

x = 3

Hence the value of x is 3

Answer:

Step-by-step explanation:

Given,

Diameter of the bowl = 6 in

Radius of the bowl = 6 ÷ 2 = 3 in.

Height of the bowl = 2 in.

Therefore,

Volume of the bowl to hold water ,

[tex] = \pi {r}^{2} h[/tex]

[tex] = 3.14 \times 3in \times 3in \times 2in[/tex]

[tex] = 56.52 {in}^{3} (ans)[/tex]

Answer:

t=2.24 for khan

Step-by-step explanation:

The test statistic for the Adam's test is 2.24.

Test statistic is a value calculated from a statistical test of hypothesis. It describes the closeness of the observed data with the expected distribution under the null hypothesis.

The formula to find the test statistic is,

t = (x - μ) / (s / √n)

Here x is the sample mean, μ is the population mean, s is the standard deviation and n is the sample size.

Given,

x = 208, μ = 200, s = 25 and n = 49

Substituting the values,

t = (208 - 200) / (25 / √49)

 = (8 × 7) / 25

 = 2.24

Hence the test statistic is 2.24.

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Answer:

The growth factor for the annual rate of change of 15% is 1.15.

The decay factor for the annual rate of change of -30% is 0.7.

The decay factor for the annual rate of change of -70% is 0.3.

The growth factor for the annual rate of change of 100% is 2.

Step-by-step explanation:

Growth or decay factor:

The growth factor is 1 + r, r as a decimal.

The decay factor is 1 - r, r as a decimal.

For the annual rate of change, find the corresponding growth or decay factor: +15%

r = 0.15, so 1 + 0.15 = 1.15.

The growth factor for the annual rate of change of 15% is 1.15.

For the annual rate of change, find the corresponding growth or decay factor: -30%

r = -0.3, so 1 - 0.3 = 0.7.

The decay factor for the annual rate of change of -30% is 0.7.

For the annual rate of change, find the corresponding growth or decay factor: -70%

r = -0.7, so 1 - 0.7 = 0.3.

The decay factor for the annual rate of change of -70% is 0.3.

For the annual rate of change, find the corresponding growth or decay factor: +100%

r = 1, so 1 + 1 = 2.

The growth factor for the annual rate of change of 100% is 2.

Answer:

Step-by-step explanation:

ratio of length to breadth=4:3

let breadth be x m

4/3=12/x(do cross multiplication)

3*12=x*4

36=4x

36/4=x

9=x

therefore breadth= 6m

Answer:

value for X

3x-4 =41

3x =41+4

3x =45

x =15

Answer:

Length: 17 yards

Width: 15 yards

Step-by-step explanation:

If the length is 2 yards longer than the width, then the width is w, and the length is w+2

Equation for perimeter is [tex]P =2l+2w[/tex], where:

P = Perimeter

l = length

w = width

Plug in the values:

64 = 2(w+2) + 2w

Distribute:

64 = 2w + 4 + 2w

Combine like terms:

64 = 4w + 4

Subtract 4 from both sides:

60 = 4w

Divide 4 from both sides:

15 = w

So if w = 15, then

Width = w, which is 15 yards.

Length = w+2, which is 15+2 = 17 yards.

Hope this answer helped! :)

Answer:

Yes. All the conditions for inference have been met.

Step-by-step explanation:

The conditions for inference are:

a) The sample must be random.  The selections of the 30 customers in each Grocery Store were not biased in any way.

b) The sampling distribution must be approximately normal.

c) The observations of the samples were independent.

d) Adequate of sample size.  30 customers represent an adequate sample

e) The variances are not known as they were disclosed in this case.

Answer:

the answer is 251/723

Step-by-step explanation:

just took the test and also its asking for the (midwest farmer vegetables) so youd look at midwest and find the vegetable row and it would be 251 then since its asking for only vegetables you'd go across the row and locate the total vegetables which is 723. THE A OPTION IS MISTYPED ITS 251/723.

The value of P(V|M) is 251/365.

The correct answer is option (D)

"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes,

n(S) is the total number of events in the sample space.

"It is the probability of an event occurring given that another event has already occurred."

The probability of event A occurring given that event B has already occurred is,

P(A|B) = P(A ∩ B)/P(B)

where, P(A ∩ B) the joint probability of events A and B

For given example,

n(S) = 1477

Event M = farmer lives in the Midwest

⇒ n(M) = 365

So, the probability of farmer lives in the Midwest would be,

⇒ P(M) = n(M)/n(S)

⇒ P(M) = 365/1477

And event V = farmer grows vegetables.

⇒ n(V) = 723

The probability of farmer grows vegetable would be,

⇒ P(V) = n(V)/n(S)

⇒ P(V) = 723/1477

The number of farmers who grows vegetables and lives in the Midwest are,

n(A ∩ B) = 251

So, the probability that the farmers grow vegetables and live in the Midwest would,

⇒ P(M ∩ V) = n(A ∩ B)/n(S)

⇒ P(M ∩ V) = 251 / 1477

Now, we need to find P(V|M).

Using the formula of conditional probability,

⇒ P(V|M) = P(M ∩ V) / P(M)

⇒ P(V|M) = (251/1477) / (365/1477)

⇒ P(V|M) = 251/365

The correct answer is option (D)

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Answer:Center =(-5,-7)

Step-by-step explanation:

Answer:

4.42

Step-by-step explanation:

5.2 x 10-3 multiplied by 850. I got it right on my assignment

The mass of the 850 nails is 442 x 10⁻² kilograms.

The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.

Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.

A carpenter bought 850 nails.

Each nail has a mass of 5.2 x 10-3 kg.

To find the total mass:

Use multiplication operation,

850 x 5.2 x 10⁻³

= 4420 x 10⁻³

= 442 x 10⁻²

Therefore, the mass is 442 x 10⁻² kilograms.

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Answer:

y = 2x + 11

Step-by-step explanation:

The point slope formula for a line is

y - y1 = m(x - x1)

We already have the slope, 2, and we can substitute the point (-4, 3) into (x1, y1):

y - 3 = 2(x + 4)

y - 3 = 2x + 8

y = 2x + 11

Answer:

The total surface area is 270153.77839583 ft2

The lateral surface area is 249128.77839583 ft2

The bottom surface area is 21025 ft2

Step-by-step explanation:

Answer:

4

Hope that this helps!