A 2-pound bag of sugar contains 227 one-teaspoon servings and costs $2.49. A batch of muffins uses 3/4 cup of sugar. How many whole batches can you make if you use as much of the sugar as possible? What is the cost of sugar for each batch? (1 cup = 48 teaspoons; do not consider leftover sugar in the cost calculation.)

Answer:

a) Please find the attached scatter plot

b) Y = 0.85·X + 51.843

c) The intercept = Sarah's height at birth

The slope = Sarah's monthly growth rate

d) Sarah's height in 50 years (600 months) will be 221.198 inches

d) The generality of the population stop growing taller when they reach 216 months old

Step-by-step explanation:

a) Please find attached the scatter plot included here

b) From Microsoft Excel, we have;

N = 6

(ΣX)² = 93636

ΣX = 306

ΣY = 569

ΣXY = 29325

ΣX² = 15966

The equation for the least squares regression line is Y = b·X + a

Where;

[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]

[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]

Substituting the values, gives;

[tex]b = \dfrac{6 \times 29325- 306 \times 569}{6 \times 15966 - 93636} = 0.85[/tex]

[tex]a = \dfrac{569 - 0.85 \times 306}{6} = 51.48\bar 3[/tex]

The equation of the least squares regression line is Y = 0.85·X + 51.843

c) The intercept gives the Sarah's height at birth, while the slope gives the increase in Sarah's height every month

d) In 50 years, which is equivalent to 600 months, we will have;

Y = 0.85 × 600 + 51.843 = 561.843 cm

2.54 cm = 1 inches

Therefore;

561.843 cm = 561.843 cm/2.41 × inches/cm ≈ 221.198 inches (18.43317 feet)

Sarah's height in 50 years (600 months) = 221.198 inches

d) The reason for the impossibly large height is that the generality of the population stop growing taller by 18 years of age which is 216 months.

Answer:

250 Meters per Minute

Step-by-step explanation:

Its simple, Divide 750 Meters by the 3 minutes he took

Answer:

It would be 250 meters per minute and/or 4.1666etc meters per second

Step-by-step explanation:

Answer: 72 buses

Step-by-step explanation:

4,826/67=72

Answer:

22/10

Step-by-step explanation:

Answer:

22/10

Step-by-step explanation:

this is the improper fraction

Answer:

For sure 34

Step-by-step explanation:

the red lines are the same length to each letter just add those.

Answer:

1/2×+12=10, x=-4

Step-by-step explanation:

Just trust me on this

Answer:

1/2x+12=10

x= -4

Step-by-step explanation:

First subtract 12 from both sides and get 1/2x= -2

Then divide both sides by 1/2

So 2/1 (you flip the fraction to "divide" it which is just multiplying because it is easier) 2/1 times -2 is -4

Answer:

  29.4 °F

Step-by-step explanation:

There are ten thousands in 10,000. (Amazing, eh?) So, the temperature will drop by 10 × 1.9 °F = 19 °F.

A drop of 19 °F from 48.4 °F is ...

  48.4 -19 = 29.4

The temperature at 10,000 ft will be 29.4 °F.

Answer:

t(1) = -3

Step-by-step explanation:

Functions

We have the function t(x) and some ordered pairs that represent the function:

{(-2,3),(-1,8),(0,-5),(1,-3),(2,-8)}

The ordered pairs have the form ( x , t(x) ). Taking a look at the list of ordered pairs, we find the pair (1,-3), which means

t(1) = -3

Answer:

  a) x = 9

  b) m∠BCD = 33°

  c) use the fact that corresponding angles are congruent

Step-by-step explanation:

a) Corresponding angle have the same measure, so ...

  3x +6 = x +24

  2x = 18 . . . . . . . . . . subtract (x+6) from both sides

  x = 9 . . . . . . . . . . . . divide by 2

__

b) 3x+6 = 3(9) +6 = 27 +6 = 33 = m∠BCD

__

c) Use the relationship between corresponding angles. Solve the resulting equation.

Answer:

12%

Step-by-step explanation:

Step 1

We find the standard deviation

A randomly selected 8-ounce can containing 35mg of caffeine is 1.2 standard deviations above the mean.

Mean = 33mg

35 = Mean - 1.2(standard deviation)

35 = 33 + 1.2(standard deviation)

35 - 33 = 1.2(standard deviation)

2 = 1.2(standard deviation)

Standard deviation = 2/1.2

= 1.6666666667

= 1.67

Therefore, the standard deviation is 1.67

Step 2

Using the z score formula

Z score = x - μ/σ

x = 35mg

μ = mean = 33mg

σ= standard deviation = 1.67

= 35 - 33/1.67

= 1.1976

Probabilty value from Z-Table:

P(x<35) = 0.88446

P(x>35) = 1 - P(x<35)

= 1 - 0.88446

= 0.11554

Converting to percentage = 0.11554 × 100

= 11.554%

≈ 12%

Therefore, the percent of 8-ounce cans of the cola having a caffeine content greater than 35mg is approximately 12%

Using the normal distribution, it is found that 11.5% of 8-ounce cans of the cola have a caffeine content greater than 35mg.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

In this problem, a randomly selected 8-ounce can containing 35mg of caffeine is 1.2 standard deviations above the mean, which means that the z-score is Z = 1.2.

The percent of 8-ounce cans of the cola have a caffeine content greater than 35mg is 1 subtracted by the p-value of Z = 1.2, so:

Looking at the z-table, Z = 1.2 has a p-value of 0.885.

1 - 0.885 = 0.115

11.5% of 8-ounce cans of the cola have a caffeine content greater than 35mg.

A similar problem is given at https://brainly.com/question/24663213

Answer: 320,340,360,380,400,420,440

Answer:

last one

Step-by-step explanation:

Answer:

the answer here would be the last one

Step-by-step explanation:

cause intgetables it goes up by six on each one

Step-by-step explanation:

Cost = $112

30% discount coupon on the item he's going to buy

=$112 × 30/100 (or you can write 30%)

=$168/5 ($33.6)

7% tax on the item=$112 × 7/100(or you can write 7%)

= $196/25 ($7.84)

Total amount altogether=$112 - $33.6 - $7.84

=$70.56

not sure for the answer^^

Answer:

The x column goes  by +2

The y column goes by +9

So, to find n - you should add 5+9, which gives 14.

n = 14

Answer:

76; 20

Step-by-step explanation:

s = small room = 2

l = large room = 4

14s + 12l = 28 + 48 = 76

as I said before s = 2 and l = 4

s*s + l*l = 2*2 + 4*4 = 4 + 16 = 20

Answer:

14 small rooms and 12 large rooms: 76

"s" small rooms and "l" large rooms: 20

Step-by-step explanation:

14 small rooms and 12 large rooms:

2(14)+4(12)

28+48=

76

s small rooms and l large rooms:

2s+4l

3x+10

you can use a math cite and it shows the questions and explanations

Answer:

D. 45

Step-by-step explanation:

All angles have to = 180°

60 + 75 + <RVE = 180°

135 + RVE = 180°

180 - 135 = 45° RVE

RVE = 45°

Another way to check your answer:

Add all of the angles, and it should equal 180°

60 + 75 + 45 = 180°

Correct!

Answer:

63, 15, 90

Step-by-step explanation:

Answer:

6[tex]m^{2}[/tex] + 6m -9[tex]m^{2}[/tex]

=> (6[tex]m^{2}[/tex] - 9[tex]m^{2}[/tex]) + 6m

=> -3[tex]m^{2}[/tex] + 6m

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

= 16 R 12

= 16 12/14

= 16 6/7

236 divided by 14 equals

16 with a remainder of 12

Step-by-step explanation:

236 divided by 14 equals 16 with a remainder of 8.

To perform long division of 236 divided by 14, we follow these steps:

    14 ) 236 ( 16

      1

    _____

     14

    222

      1

    _____

      14

       8

Divide the first digit of the dividend (2) by the divisor (14). Since 2 is smaller than 14, we bring down the next digit (3) to make a two-digit number.

Divide the two-digit number (23) by the divisor (14). The quotient is 1, and the remainder is 9.

Bring down the next digit (6) to the remainder (9) to form 96.

Divide 96 by 14. The quotient is 6, and the remainder is 12.

Step 5: Bring down the next digit (0) to the remainder (12) to form 120.

Divide 120 by 14. The quotient is 8, and the remainder is 8.

Since there is no more digit to bring down, the division process is complete.

Therefore, 236 divided by 14 equals 16 with a remainder of 8.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ6

Answer:

length=50m

width=25m

Step-by-step explanation:

perimeter is the distance all round,hence

2(l+w)=2(2x+x)=

4x+2x=6x=150

6x=150x

x=25

l=50m

w=25m

Answer: 8x⁴ - 12x³ - 176x² + 420x

Step-by-step explanation:

First multiply 4x by (x - 3) which = 4x² - 12x. Next multiply (4x² - 12x) by (x + 5) which = 4x³ + 8x² - 60x. Multilying our new trinomial with the next binomial: (4x³ + 8x² - 60x)(2x - 7) = 8x⁴ + 16x³ - 120x² - 28x³ - 56x² + 420x. Combining like terms: 8x⁴ - 12x³ - 176x² + 420x. Notice that when you reduce and factor, you will end up with the starting binomials meaning this solution is correct.

Answer:

C

Step-by-step explanation:

Since the reflection line is at y=1 then B is only one y value above that line. Therefore, B prime should be one y value below that line.

Step-by-step explanation:

Can you put a picture or give more information?

Answer:

504

Step-by-step explanation:

7*8*9=504

Answer:

Donald

Step-by-step explanation:

Trump

Answer:

See below

Step-by-step explanation:

[tex]\left(\dfrac{60 \text{ min}}{1 \text{ h}} \cdot \dfrac{24 \text{ h}}{1 \text{ day}} \right) = \left(\dfrac{1440 \text{ min}}{1 \text{ day}} \right)[/tex]

[tex]\therefore 2880 \text{ minutes in 2 days}[/tex]

Answer:

The number of worms Noah started with

:)  

took the test

Answer:

The number of worms Noah started with

Step-by-step explanation: