6(2x-3)-8=-2
Solve for x! Tyy

Answer:

The value of [tex]a[/tex] is 3.

Step-by-step explanation:

Let be [tex]\vec a = \langle a, 5 \rangle[/tex] and [tex]\vec b = \langle -4,-3 \rangle[/tex], the difference between the two vectors is:

[tex]\vec c = \vec b - \vec a[/tex]

[tex]\vec c = \langle a, 5\rangle - \langle -4,-3 \rangle[/tex]

[tex]\vec c = \langle a+4,8 \rangle[/tex]

If we know that [tex]\vec c = \langle 7,8 \rangle[/tex], the value of [tex]a[/tex] is:

[tex]\langle 7, 8 \rangle = \langle a+4, 8\rangle[/tex]

In which,

[tex]a + 4 = 7[/tex]

[tex]a = 3[/tex]

The value of [tex]a[/tex] is 3.

Answer:

should be -7.5

Step-by-step explanation:

4.9×5=24.5

17-24.5=-7.5

Answer:

If i'm not mistaken its 1

Step-by-step explanation:

Answer:

the region of the circle in polar coordinate can be expressed as:

[tex]\mathbf{- \dfrac{\pi}{2} \leq \theta \leq \dfrac{\pi}{2} , 0 \leq r \leq 11 cos \theta}[/tex]

Step-by-step explanation:

Given that:

[tex]x^2 +y^2 = 11x[/tex]

This implies that :

[tex](x-5.5)^2 + y^2 = 5.5^2[/tex]

center (5.5, 0) and radius = 5.5

The relation between the cartesian coordinates (x,y) and the polar coordinates (r, θ) is as follows:

x = rcosθ

y = rsinθ

Thus, [tex]x^2 + y^2 = r^2[/tex]

[tex]x^2 + y^2 = 11x[/tex]

[tex](rcos \theta)^2 + (r sin \theta)^2 = 11(rcos \theta)[/tex]

[tex]r^2 = 11r cos \theta[/tex]

Thus, the angle θ runs between [tex]- \dfrac{\pi}{2}[/tex] to [tex]\dfrac{\pi}{2}[/tex]

Therefore, the region of the circle in polar coordinate can be expressed as:

[tex]\mathbf{- \dfrac{\pi}{2} \leq \theta \leq \dfrac{\pi}{2} , 0 \leq r \leq 11 cos \theta}[/tex]

The required region is,

[tex]x=\frac{11}{2}+\frac{11}{2}cos\theta , 0\leq \theta\leq2\pi \\y=\frac{11}{2}sin\theta ,0\leq r \leq \frac{11}{2}[/tex]

Given circle is,

[tex]x^2 +y^2 = 11x[/tex]

Computation:

Solving the given circle,

[tex]x^2-11x+y^2=0\\x^2-2(\frac{11x}{2})+y^2=0[/tex]

Adding [tex]\frac{11}{2}[/tex] both sides we get,

[tex]x^2-2(\frac{11x}{2})+\frac{121}{4}+y^2=\frac{121}{4}\\(x-\frac{11}{2})^2+y^2=(\frac{11}{2})^2[/tex]

It represents a circle having the radius [tex]\frac{11}{2}[/tex] and centred at [tex](\frac{11}{2},0)[/tex]

So, in polar coordinate,

[tex]x=\frac{11}{2}+\frac{11}{2}cos\theta , 0\leq \theta\leq2\pi \\y=\frac{11}{2}sin\theta ,0\leq r \leq \frac{11}{2}[/tex]

Learn More:https://brainly.com/question/12482360

Answer: 155

Step-by-step explanation:

Answer:

4/9 , 7/12 , 2/3 , 5/6

Step-by-step explanation:

2/3 × 12/12 = 24/36

4/9× 4/4= 16/ 36

5/6 × 6/6 = 30/36

7/12× 3/3 = 21/ 36

Answer: -8

Step-by-step explanation:

Answer:

The values are missing in the question. They are : 16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2

Step-by-step explanation:

16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2

We calculate sample mean and std deviation from given data.

Sample Mean, [tex]$ {\overset{-}X} =\frac{\Sigma (X)}{n} $[/tex]   =269.8/10=26.98

Sample Variance, [tex]$s^2= \frac{\Sigma(X-{\overset{-}X})^2}{(n-1)}$[/tex]    =1859.496/9=206.610667

Sample std dev,s=[tex]$\sqrt{s^2}$[/tex]=√206.610667≈14.373958

We want to test two tailed hypothesis:

[tex]$H_0$[/tex] : σ=12

[tex]$H_2$[/tex] : σ≠12

Given: s=14.373958⇒ [tex]$s^2$[/tex] =206.610667,n=10

Significance level, a=0.1 Degrees of freedom, df=n-1=9

Since this is two tailed test, we need area of α=0.1 on either side of critical value. This means area of 0.05 on right of positive critical value.

Critical values are given by [tex]$ X_{1-\alpha/2}^2 =X_{0.95}^2 \text{ and}\ X_{1-\alpha/2}^2 =X_{0.95}^2 $[/tex]  with 9 degrees of freedom.

We can use chi-square table or following excel commands:

CHISQ. INV(0.95,9)=3.32511284307

CHISQ. INV (0.05,9)=16.9189776046

Critical Values, [tex]$X_L^2$[/tex]=3.325  and [tex]$X_R^2$[/tex]=16.919

Since this is two tailed test, the decision rule or rejection criteria is:

Reject null hypothesis if test statistic is less than or equal to left critical value OR more than or equal to right critical value, i.e,

Reject [tex]$H_0$[/tex]   if [tex]$x^2$[/tex]≤3.325  OR [tex]$x^2$[/tex]≥16.919

Test statistic is given by [tex]$X^2=\frac{(n-1)s^2}{\sigma^2}$[/tex] =((9)*206.610667)/144=12.913167    

Test statistic, [tex]$x^2$[/tex]=12.913

since test statistic is between two critical values, we (do not reject [tex]$H_0$[/tex]) (i.e, we fail to reject [tex]$H_0$[/tex].

Conclusion: There is (not sufficient) evidence to conclude that standard deviation is not equal to 12 .

Alternatively, we can use p-value approach. The decision rule or rejection criteria is: reject null hypothesis if p-value is less than or equal to significance level (α), i.e, reject [tex]$H_0$[/tex] if p-value ≤0.1

P-value is twice the (smaller) tail area of test statistic because this is two tailed test. We can use excel function to find this. 2*M IN (CHISQ.DIST (12.913167,9,  TRUE ) 1-CHISQ.DIST 12.913167,9,  TRUE ) =0.333149809868

P-value =0.3331

since p-value is greater than significance level (α),we (do not reject [tex]$H_0$[/tex]) (i.e, we fail to reject [tex]$H_0$[/tex]).

Conclusion: There is (not sufficient) evidence to conclude that standard deviation is different from 12 .

Answer:

probability is one for the position of the fourth vertex

it's co ordinates will be (2,2)

Answer:

12 inches

Step-by-step explanation:

Answer:

7,200 minutes.

Step-by-step explanation:

5 days * (24 hours / 1 day) = 5 * 24 hours = 120 hours

120 hours * (60 minutes / 1 hour) = 120 * 60 minutes = 7,200 minutes.

Hope this helps, and I love your art!

Answer:

7,200

Step-by-step explanation:

Answer:

Step-by-step explanation:

11

Answer:

160 dollars.

Step-by-step explanation:

16+54= 70

5+2=7

70-7=63

62+41=103

2+4=6

103-6=97

97+63=160

Hope this helps! ^^

Answer:

Your answer should be:

300+16+54-5-2+62+41-2-4= 460

Step-by-step explanation:

Δ I hope this helped you! Δ

(I would appreciate a brainliest!)

║∅║Thanks for your time!║∅║

Answer:

hope it helps

plz mark as brainliest

Answer:

when cost of flour was 28 then cost of bread is 496

so the coost of bread if flour cost 32 = 496*32/28=566.86

Step-by-step explanation:

Answer:

he has to save $13 every week for six weeks which equals 78, and 78+9 is 87

Answer:

rational or racional

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

For option A:

4 pack of 3.2-ounce servings of applesauce cost $2.50. This implies that 4 × 3.2 ounce = 12.8 ounce servings of applesauce cost $2.50. Hence:

The unit rate = $2.50 / 12.8 ounce = $0.1953 per ounce

For option B:

24-ounce servings of applesauce cost $3.69. Hence:

The unit rate = $3.69 / 24 ounce = $0.15375 per ounce

From the unit rates of option A and option B, option B has a lesser unit rate, hence option B is a better buy.

Answer:

Step-by-step explanation:

FG=7

The answer is [ 3.1415926535 ]

pi or π is used to find the area and circumference of a circle. You can either solve it in terms of pi or solve with pi being 3.14.

Best of Luck!

Answer:

  1.)  Mass divided by volume

Step-by-step explanation:

The definition of density is "mass per unit volume." It is calculated by dividing mass by volume.

Answer:

2.1544

Step-by-step explanation:

[tex]\sqrt[3]{10}[/tex] = 2.1544

check: 2.1544^3

Answer:

each sister receives (7/8) ft of ribbon

Step-by-step explanation:

Let's start by writing the total amount of ribbon in fraction form:

3  1/2  = 3 + (1/2) = (7/2)

Now, we need to perform the division: (7/2) divided by 4

in order to find how much ribbon each sister gets. We convert the division of fractions into a product to make the operation simpler. This is done by using the reciprocal of the number that divides (in our case the reciprocal of "4" which is: (1/4):

(7/2) divided 4 = (7/2) x (1/4)

and we multiply the fractions obtaining:

(7/8)

So, each sister receives (7/8) ft of ribbon

Answer:

The center of the circle is the point (6,3)

Answer:

10 miles per hour

Step-by-step explanation:

1/12 miles

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

1/2 minute

1/12 ÷1/2

Copy dot flip

1/12 * 2/1

1/6 miles per minute

We need to convert minutes to hours

1 hours = 60 minutes

1/6 miles / minutes * 60 minutes/ hour

= 60/6 miles per hour

10 miles / hour

Answer:

Kindly check explanation

Step-by-step explanation:

Given the scenario above :

A) State the random variable.

The random variable is the p opoertion of brown M&M's in a milk chocolate packet.

B.) Argue that this is a binomial experiment.

Each trial is independent for a total number of 52 trials with a set probability of success at 0.14

C) probability that 6 M&M's are brown:.

P(x) = nCx * p^x * (1-p)^(n-x)

p = 0.14 ; (1 - p) = 0.86 ; n = 52 ; x = 6

P(x = 6) = 52C6 × 0.14^6 × 0.86^46

= 20358520 × 0.00000752954 × 0.00097035078

= 0.1487

D) P(x =25)

P(x = 25) = 52C25 × 0.14^25 × 0.86^27

= 477551179875952 × 449.987958058*10^(-24) × 0.01703955245

= 0.00000000366

E) P(x = 52)

P(x = 52) = 52C52 × 0.14^52 × 0.86^0

= 1 × 3968.78758299*10^(-48) × 1

= 3968.78758299*10^(-48)

F) yes it would be unusual, because such probability is extremely low. However, if a huge or substantial number of trials such may occur