1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Irina-Kira [14]
3 years ago
7

Betsy started a business 2 years ago. She had 8 customers in the first year. She added 18 customers in the second year. Betsy's

goal is that in each of the next 4 years, she will have three times ad many customers as the year before. Betsy shows her calculations in the TABLE below that if she meets this goal each year, she will have 312 customers 4 years from now. is Betsy correct? Use the drop-down menus to explain your reasoning.
Expression: (8 + 18) * 3^4
Step 1: 26 * 3^4 <<< TABLE
Step 2: 26 * 12
Answer: 312

Pick the correct answer in parentheses:
Betsy's calculations in Step 1 are ( is she Correct or Incorrect) because... ( .She added incorrectly .She has 26 customers at the end of her second year .She should have multiplied 18 * 3^4 before adding 8)

Besty's calculations in Step 2 are ( is she Correct or Incorrect) Because.... ( .She did not find the correct value of 3^4 .26 * 3^4 = 26 * 12 .She did not apply the order of operations correctly)

If Betsy reaches her goal each year, she will have.. ( .2,106 .312 .1,466) customers 4 years from now.
Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0

Answer: step one is correct and the second step is incorrect

Step-by-step explanation:

You might be interested in
What is 972 divided by 9
VikaD [51]

Answer:

108

Step-by-step explanation:

can i have brainliest?

6 0
3 years ago
Read 2 more answers
A bag contains two six-sided dice: one red, one green. The red die has faces numbered 1, 2, 3, 4, 5, and 6. The green die has fa
gayaneshka [121]

Answer:

the probability the die chosen was green is 0.9

Step-by-step explanation:

Given that:

A bag contains two six-sided dice: one red, one green.

The red die has faces numbered 1, 2, 3, 4, 5, and 6.

The green die has faces numbered 1, 2, 3, 4, 4, and 4.

From above, the probability of obtaining 4 in a single throw of a fair die is:

P (4  | red dice) = \dfrac{1}{6}

P (4 | green dice) = \dfrac{3}{6} =\dfrac{1}{2}

A die is selected at random and rolled four times.

As the die is selected randomly; the probability of the first die must be equal to the probability of the second die = \dfrac{1}{2}

The probability of two 1's and two 4's in the first dice can be calculated as:

= \begin {pmatrix}  \left \begin{array}{c}4\\2\\ \end{array} \right  \end {pmatrix} \times  \begin {pmatrix} \dfrac{1}{6}  \end {pmatrix}  ^4

= \dfrac{4!}{2!(4-2)!} ( \dfrac{1}{6})^4

= \dfrac{4!}{2!(2)!} \times ( \dfrac{1}{6})^4

= 6 \times ( \dfrac{1}{6})^4

= (\dfrac{1}{6})^3

= \dfrac{1}{216}

The probability of two 1's and two 4's in the second  dice can be calculated as:

= \begin {pmatrix}  \left \begin{array}{c}4\\2\\ \end{array} \right  \end {pmatrix} \times  \begin {pmatrix} \dfrac{1}{6}  \end {pmatrix}  ^2  \times  \begin {pmatrix} \dfrac{3}{6}  \end {pmatrix}  ^2

= \dfrac{4!}{2!(2)!} \times ( \dfrac{1}{6})^2 \times  ( \dfrac{3}{6})^2

= 6 \times ( \dfrac{1}{6})^2 \times  ( \dfrac{3}{6})^2

= ( \dfrac{1}{6}) \times  ( \dfrac{3}{6})^2

= \dfrac{9}{216}

∴

The probability of two 1's and two 4's in both dies = P( two 1s and two 4s | first dice ) P( first dice ) + P( two 1s and two 4s | second dice ) P( second dice )

The probability of two 1's and two 4's in both die = \dfrac{1}{216} \times \dfrac{1}{2} + \dfrac{9}{216} \times \dfrac{1}{2}

The probability of two 1's and two 4's in both die = \dfrac{1}{432}  + \dfrac{1}{48}

The probability of two 1's and two 4's in both die = \dfrac{5}{216}

By applying  Bayes Theorem; the probability that the die was green can be calculated as:

P(second die (green) | two 1's and two 4's )  = The probability of two 1's and two 4's | second dice)P (second die) ÷ P(two 1's and two 4's in both die)

P(second die (green) | two 1's and two 4's )  = \dfrac{\dfrac{1}{2} \times \dfrac{9}{216}}{\dfrac{5}{216}}

P(second die (green) | two 1's and two 4's )  = \dfrac{0.5 \times 0.04166666667}{0.02314814815}

P(second die (green) | two 1's and two 4's )  = 0.9

Thus; the probability the die chosen was green is 0.9

8 0
3 years ago
In an effort to determine whether any correlation exists between the price of stocks of airlines, an analyst sampled six days of
vovikov84 [41]

Answer:

Check the explanation

Step-by-step explanation:

Following table shows the calculations:

Delta, X      Southwest , Y            X^2              Y^2                      XY

45.96               38.76               2112.3216     1502.3376          1781.4096

46.8                 45.41                2190.24         2062.0681        2125.188

47.93                15.7                 2297.2849      246.49            752.501

51.78                49.58              2681.1684      2458.1764        2567.2524

52.17                44.34              2721.7089      1966.0356        2313.2178

47.36                18                   2242.9696            324               852.48

Total 292       211.79               14245.6934      8559.1077      10392.0488

Sample size: n =6

Now

S_{yy}=\sum y^{2}-\frac{\left (\sum y \right )^{2}}{n}=1083.27

S_{xx}=\sum x^{2}-\frac{\left (\sum x \right )^{2}}{n}=35.03

S_{xy}=\sum xy-\frac{\left (\sum x \right )\left (\sum y \right )}{n}=84.94

The coefficient of correlation is :

r=\frac{S_{xy}}{\sqrt{S_{xx}S_{yy}}}=0.436

7 0
3 years ago
Which number is the median? 5, 15, 16, 20, 21, 21, 23, 23, 23, 26, 26, 26, 26, 27, 27, 29, 29, 29, 29, 29, 30, 30, 30, 30
scoray [572]

Answer:

median is 26

Step-by-step explanation:

26+26=52

52÷2=26

8 0
2 years ago
Read 2 more answers
Darryl wants to add enough water to 8 gallons of a 10% bleach solution to make a 5% bleach solution. Which equation can he use t
Margarita [4]

Answer:

2) 0.8/8+x=5/100

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • How do I write 8.21 as a mixed number
    14·1 answer
  • Sarah is renting a car for her weekend trip to the mountains. The total cost of the rental, f(x), as it relates to the number of
    6·1 answer
  • Which polynomial is represented by the factors (x + 6)(x - 10)?
    9·1 answer
  • Alvin has a prism-like water tank whose base area is 0.9 square meters and height is 0.6 meters. He wants to
    9·2 answers
  • Wendy purchases a chalkboard priced at $76. With sales tax, the total comes out to $82.84.
    15·1 answer
  • Enter the degree of the polynomial below.<br> 6x^6+ 9x^3+ 3x^2 - 4x^10 - 9x^5 – 5x^6
    14·1 answer
  • In the function, 9 (2-) = 9 - 5x, what is the value of g (3)?
    14·1 answer
  • If you do 2+2 does it equal 22? or am i dum?
    12·2 answers
  • I really need the help please and thank you
    10·1 answer
  • The formula for the area of a triangle is 1A bh2=, where b is the length of the base and his the height. Rearrange the formula t
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!