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ruslelena [56]
3 years ago
8

The bakers at Healthy Bakery can make 170 bagels in 2 hours. How many

Mathematics
1 answer:
Maru [420]3 years ago
3 0

Given:

The bakers at Healthy Bakery can make 170 bagels in 2 hours.

To find:

How many  bagels can they bake in 14 hours and the rate per hour.

Solution:

We have,

Number of bagels the bakers can bake in 2 hours = 170 bagels

Number of bagels the bakers can bake in 1 hours = \dfrac{170}{2} bagels

                                                                                   = 85 bagels

Therefore, the average rate is 85 bagels per hour.

Number of bagels the bakers can bake in 14 hours = 14\times 85 bagels

                                                                                    = 1190 bagels

Therefore, the bakers can bake 1190 bagels in 14 hours.

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Answer:

7 and 6/8

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
1. The table shows the probabilities of a response chocolate or vanilla when asking a child or adult. Use the formula for condit
Stels [109]
\begin{matrix}&\text{chocolate}&\text{vanilla}&\text{total}\\\text{children}&0.14&0.26&0.40\\\text{adults}&0.21&0.39&0.60\\\text{total}&0.35&0.65&1.00\end{matrix}

a. "Chocolate" and "Adults" (whatever those mean) will be independent as long as

P(\text{chocolate}\cap\text{adults})=P(\text{chocolate})\cdot P(\text{adults})

"Chocolate" has the marginal distribution given by the second column, with a total probability of P(\text{chocolate})=0.35. Similarly, "Adults" has the marginal distribution described by the third row, so that P(\text{adults})=0.60. Then

P(\text{chocolate})\cdot P(\text{adults})=0.35\cdot0.60=0.21

Meanwhile, the joint probability of "Chocolate" and "Adults" is given by the cell in the corresponding row/column, with P(\text{chocolate}\cap\text{adults})=0.21.

The probabilities match, so these events are indeed independent.

Parts (b) and (c) are checked similarly.

b. Yes;


P(\text{children})\cdot P(\text{chocolate})=0.40\cdot0.35=0.14
P(\text{children}\cap\text{chocolate})=0.14

c. Yes;

P(\text{vanilla})\cdot P(\text{children})=0.65\cdot0.40=0.26
P(\text{vanilla}\cap\text{children})=0.26
5 0
3 years ago
Expand the binomial (y+1)^8
11Alexandr11 [23.1K]

Answer:

Use the binomial expansion theorem to find and simplify each term.

y 8+8 y7+28y6+56y5+70y4+56y3+28y2+8y+1

Step-by-step explanation:


7 0
3 years ago
2 1 point
mafiozo [28]

Answer:

  • The graph has a minimum.
  • The graph has a y-intercept at (0, -3).
  • The solutions ... are -1 and 3.
  • The vertex is located at (1, -4).
  • In the equation, 'a' would be positive.

Step-by-step explanation:

When the graph has a low point, it has a minimum. 'a' is positive in that case. The coordinates of that low point are (1, -4). That point is the vertex.

The graph crosses the y-axis at y = -3, so the y-intercept is (0, -3).

The graph crosses the x-axis at (-1, 0) and (3, 0). These points represent the solution to the equation y = 0.

  • The graph has a minimum.
  • The graph has a y-intercept at (0, -3).
  • The solutions ... are -1 and 3.
  • The vertex is located at (1, -4).
  • In the equation, 'a' would be positive.
5 0
3 years ago
Which equations are equivalent to 33/x+ 4 = 12? Check all that apply.
nikitadnepr [17]

Answer:

option c

x + 4 = 64

and

option e

x = 60  

Step-by-step explanation:

Given in the question an expression

3∛x+4 = 12

∛x + 4 = 12/3

∛x + 4 = 4

Take cube on both sides of the equation

∛(x + 4)³ = 4³

x + 4 = 64

x = 64 - 4

x = 60  

8 0
3 years ago
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