Which expression is equivalent to 6(3c-4)-2(5c-1)

Answer:

m<GHI = 17°

Step-by-step explanation:

m<GHI = (2x - 3)°

m<IGH = (2x + 15)°

m<HIJ = (7x - 18)°

<HIJ is an exterior angle of ∆GHI

<GHI and <HIJ are both interior angles of ∆GHI that are opposite to the exterior angle.

Therefore, based on the exterior angle theorem of a triangle, we would have the following equation:

m<GHI + m<IGH = m<HIJ

(2x - 3)° + (2x + 15)° = (7x - 18)° (substitution)

Solve for x

2x - 3 + 2x + 15 = 7x - 18

Add like terms

4x + 12 = 7x - 18

4x - 7x = -12 - 18

-3x = -30

Divide both sides by -3

x = 10

✔️m<GHI = (2x - 3)°

Plug in the value of x

m<GHI = 2(10) - 3 = 20 - 3

m<GHI = 17°

Answer: 2x^2 + 7x + 3

Step-by-step explanation:

(x+3)(2x+1)

(2x^2+1x+6x+3)

2x^2 + 7x + 3

Answer:

See below

Step-by-step explanation:

The domain of [tex]f[/tex] is non-negative real numbers, and the domain of [tex]g[/tex] is real numbers.

[tex](f\circ g)(x) = 2\sqrt{2}|x|^5[/tex] (I skipped calculation details), so [tex](f\circ g)(9) = 2 \sqrt{2} \cdot 9^5[/tex].

Answer:

7) I believe it is "The sum of the large rectangle is equal to the sum of the two smaller rectangles. 3 (x + 4)" But I am not sure.

8) Make it shorter and simpler by combining like terms

9) 5x , 2a + 3 + a + 4 , 6 + 2x + x2 + 1 + x

10) ac + bc = (a + b) c

Step-by-step explanation:

Answer:

x+15

Step-by-step explanation:

X stands for the number of cards the one person represent add 15 to the whatever number of cards you have.

Answer:

mep

Step-by-step explanation:

mep

Answer:

I think it is 4/7 I might be wrong

Answer:

1. y - 2 = (3/5) (x + 5)

2. y = -5x - 4

Step-by-step explanation:

Slope form - y1 - y = m (x1 - x)

Slope intercept - y = mx + b

Answer:

It costs $9

Step-by-step explanation:

Lets look at the ratio:

2/3

We need x:

6/x

Make an equation using the butterfly method:

3(6) = 2x

Simplify:

18=2x

Divide both sides by 2:

x=9

It costs $9

Answer:

sorry

Step-by-step explanation:

sana i review mo beh ng maayos..hehe wag puro tanong cge keep safe..

Answer:

its c

Step-by-step explanation:

This is because the amount is more than what he needs to save, considering that he is probably has some money in his bank already.

Answer:

x=-2 y=4

the line hits both -2 on the x asis and 4 on the y

Answer:

Please see the explanation below for proof

Step-by-step explanation:

Probability of choosing black ball from the bag

[tex]\frac{b}{b+r}[/tex]

Probability of choosing red ball from the bag

[tex]\frac{r}{b+r}[/tex]

After the addition of c balls of correspondent color –  

P (R2/B1) [tex]= \frac{r}{(r+b+c)}[/tex]

P (R2/B2) [tex]=\frac{r+c}{(r+b+c)}[/tex]

B1 and B2 are mutually exclusive event

P (B1/R2) = [tex]\frac{\frac{r}{(r+b+c)} *\frac{b}{b+r}}{\frac{r}{(r+b+c)}*\frac{b}{b+r} + \frac{r+c}{(r+b+c)}* \frac{b}{b+r}}[/tex]

P (B1/R2) [tex]=\frac{b}{(r+b+c)}[/tex]

Hence, Proved

Answer:

In a certain sport, teams receive 3 points for each win, 1 point for each draw, and no points for losses. In a five-team tournament in this sport, in which each of teams G, H, J, K, and L played each other team exactly once, did team L finish the tournament with the highest point total?

Step-by-step explanation:

Answer:

No is not the solution to that system

Step-by-step explanation:

https://socratic.org/questions/how-do-you-solve-sin-x-pi-4-sin-x-pi-4-1-over-the-interval-0-2pi

Answer:

the first one is 5 times 5 times 5

the second is 7 times 7

the third is 2 times 2 times 2

Step-by-step explanation:

Answer:

-x=-6

x=6

7(6)+2y=24

42+2y=24

2y=24-42

2y=-18

y=-9

Step-by-step explanation:

Answer:

The value of g(a) is:

Step-by-step explanation:

Given

As the function g(x) is given by

[tex]g(x)=3-2x[/tex]

To determine

g(a) = ?

In order to determine g(a),

substitute x = a in the function g(x) = 3 - 2x

g(x) = 3 - 2x

g(a) = 3 - 2(a)

g(a) = 3 - 2a

Therefore, the value of g(a) is:

Answer:

a lot of kids and adults

Step-by-step explanation:

Step-by-step explanation:

15(2x + 5)

because 15 is the GCF of 30 and 75

Answer:

It might be D but im srry if wrong

Step-by-step explanation:

Answer:

The answer is C.

Hope this helps :)

-ilovejiminssi♡

Answer:

its 7 and 8

Step-by-step explanation:

Answer:

I believe that would be -1.47

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

its four trust me

Answer:

4

Step-by-step explanation:

:)

Answer:

12/4=3and3/4is 1/4 of the product of 12

and 3.

Answer:

0% probability that the mean score for the B group will be at least five points higher than the mean score for the A group

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution, the central limit theorem, and subtraction of normal variables:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal variables:

When we subtract two normal variables, the mean is the subtraction of the mean of each variable, while the standard deviation is the square root of the sum of each variance.

Method A:

One student: N(75,30), so [tex]\mu = 75, \sigma = 30[/tex]

Samples of 100 students: [tex]n = 100, s = \frac{30}{\sqrt{100}} = 0.3[/tex]

Method B:

One student: N(74,40), so [tex]\mu = 74, \sigma = 40[/tex]

Samples of 100 students: [tex]n = 100, s = \frac{40}{\sqrt{100}} = 0.4[/tex]

What is the probability that the mean score for the B group will be at least five points higher than the mean score for the A group?

This is the probability that B - A >= 5. So

[tex]\mu_{B-A} = \mu_B - \mu_A = 74 - 75 = -1[/tex]

[tex]s_{B-A} = \sqrt{s_A^{2}+S_B^{2}} = \sqrt{(0.3)^2+(0.4)^2} = 0.5[/tex]

We have to find 1 subtracted by the pvalue of Z when X = 5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

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

[tex]Z = \frac{5 - (-1)}{0.5}[/tex]

[tex]Z = 12[/tex]

[tex]Z = 12[/tex] has a pvalue of 1

1 - 1 = 0, so

0% probability that the mean score for the B group will be at least five points higher than the mean score for the A group

Step-by-step explanation:

1. if to evaluate the given experssion, then

7⁶(7²-7+1)=7⁶*43.

2. if to divide this evaluated expression by 43, then

7⁶*43/43=7⁶.