x-1/4(12-x)=x+3(4-x)-2x

A.) -20/7
B.) 20/7
C.) 7/20
D.) -7/20

Answer:

1.26885245902 or rounded to $1.27 per pound.

Step-by-step explanation:

you can just divide 3.87/3.05 to see how much each pound costed. if you needed to round to the nearest cent, you would round up to 1.27.... or if not, keep it at 1.26885245902.

then to check your work, you can just multiply (1.26885245902) by (3.05) to get the total amount she had spent.

Answer:

0.0013

Step-by-step explanation:

We have p = 20% = 0.20

Sample n = 1600

We are to find probability of at least 23% retiring in 5 years

P(p hat >= 0.23)

We find the z score

Z = p hat - p/√p(1-p/n

= 0.23-0.20/√0.20(1-0.20/1600

= 0.03/0.01= 3

P(z>=3)

1-p(z<3)

1-0.9987

= 0.0013

So we conclude that this is the probability at least 23% people in the sample would retire in the next 5 years

Answer:

x⁸ ÷ x²

= x⁶

y⁵÷y⁴

= y¹ or y ( they're the same)

Answer:

x⁶y

Step-by-step explanation:

(x8 ÷ x2)(y5÷y4)

Since it's division all you have to do is subtract the exponent.

So the answer is = x⁶y

Answer:

76 words per minute

Step-by-step explanation:

3724/49 =76

Answer:

Unit rate = 76

Step-by-step explanation

49 min = 3724 words

1 min = ?

3724/49 = 76

1 min = 76 words

Therefore, the unit rate is 76.

Hope this helps :)

Answer:

The answer to this question your asking is b

Answer:

-2 X3

Step-by-step explanation:

Answer:

(a) 0.0668

(b) $638.74

Step-by-step explanation:

Let X denote the tips earned by a waiter.

It is provided that X follows a left-skewed distribution with mean, μ = $10.60 and standard deviation, σ = $6.60.

It is also provided that, the waiter usually waits on about n = 50 parties over a weekend of work.

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.  

Then, the mean of the distribution of the sum of values of X is given by,  

 [tex]\mu_{S}=n\mu\\[/tex]

And the standard deviation of the distribution of the sum of values of X is given by,  

[tex]\sigma_{S}=\sqrt{n}\sigma[/tex]

As the sample size is large, i.e. n = 50 > 30, the Central Limit Theorem can be used to approximate the sampling distribution of total tips by the normal distribution.

The mean and standard deviation are:

[tex]\mu_{S}=50\times 10.60=530\\\\\sigma_{S}=\sqrt{50}\times 6.60=46.67[/tex]

(a)

Compute the probability that he will earn at least $600 as follows:

[tex]P(S\geq 600)=P(\frac{S-\mu_{S}}{\sigma_{S}}\geq \frac{600-530}{46.67})\\\\=P(Z>1.50)\\\\=1-P(Z<1.50)\\\\=1-0.93319\\\\=0.06681\\\\\approx 0.0668[/tex]

Thus, the probability that he will earn at least $600 is 0.0668.

(b)

Let x represents his earnings on the best 1%  of such weekends.

That is, P (X < x) = 0.99.

⇒ P (Z < z) = 0.99

The corresponding z-score is, 2.33.

Compute the value of x as follows:

[tex]z=\frac{S-\mu_{S}}{\sigma_{S}}\\\\2.33=\frac{x-530}{46.67}\\\\x=530+(2.33\times 46.67)\\\\x=638.7411\\\\x\approx 638.74[/tex]

Thus, on the best 1%  of such weekends the waiter earned $638.74.

its d we all live on the same planet

Step-by-step explanation: trust me sorry if im wrong

Answer:

d

Step-by-step explanation:

I think that the correct answer is D

Answer:

a) 817,600,000

b) 3,401,600,000

c) 585,600,000

d) 464,000,000

e) 280,800,000

f) 28,800,000

Step-by-step explanation:

Multiply each population by 0.8.

ex) 1,022,000,000 x 0.8 = 817,600,000

Answer:

True

Step-by-step explanation:

Answer: True.

Step-by-step explanation: Because the greater the slope, the steeper the line.

Answer:

D (4,10)

Step-by-step explanation:

the answer is d

Answer:

16x X 44 squared

Step-by-step explanation:

Answer:

a. y = 40x + 35

b. 35 represents the one time fee

c. The 40x represents the monthly fee

d. f(x) represents the amount you have paid after an amount of months

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

She sells her bike for 104 dollars

She sells toys        for  68 dollars

Total                             172

The question is a bit ambiguous. There are 4 divisions. So I would assume that you need to divide 172 by 4. If you do that you get 43

I think that what they are getting at is the answer is C. There are 4 months shown. And 1 month would be 43 dollars. She has enough for 3 more months.

Answer:

its y=x+7

Step-by-step explanation:

Answer:   x=55           y=145

x=55

35+90=125

125-180=55

y=145

180-35=145

I hope this is good enough:

Answer:

x=55

35+90=125

125-180=55

y=145

180-35=145

Step-by-step explanation:

Answer:

(x) = 15x + 88.

(x)= is the number of weeks

15x= the amount of money per x weeks

88= the amount of money after x weeks.

I am not totally sure my answer is correct though.

Step-by-step explanation:

Answer:she sold 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Approximate rate of change:

Answer:

40m - 160m = 120m

Step-by-step explanation:

Answer:

3/5 is the probability of drawing a blue card

Answer:

3/5

Step-by-step explanation:

total sum of probability is 1.

for the probability of drawing a red ball to be 2/5, then probability of drawing a blue ball is

1 - 2/5

Answer:

400

Step-by-step explanation:

it says average which probably means 400

33.36% of these homes have a value greater than $83,500.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x \ is\ raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = $82000, σ = $5000.

For x > 83500:

[tex]z=\frac{83500-82000}{5000} =0.43[/tex]

From the normal distribution table, P(x > 83500) = P(z > 0.43) = 1 - P(z < 0.43) = 1 - 0.6664 = 33.36%

33.36% of these homes have a value greater than $83,500.

Find out more at: https://brainly.com/question/15016913

Answer:

Step-by-step explanation:

Temperature change:

Change in 1 minute:

Answer:

About $10

Step-by-step explanation:

We know that Jimmy equally needs enough money to buy a new video game, which is $30.

Since more than 1 number equals 30, there might be multiple answers for this.

He might have about 10 dollars, hence 10 times 3 is 30.