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2 years ago

15

Caroline delivers flowers and earns $1.25 for each rose and $0.75 for each daisy. What is her total pay for a week in which she

sold 288 roses and 432 daisies?

1 answer:

SCORPION-xisa [38]2 years ago

6 0

Answer:

She will be paid $684

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Eight times the quantity of a number and six.

Paladinen [302]

Eight times the quantity of a number and six.

8 (x+6)

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2 years ago

The time needed to complete a final examination in a particular college course is normallydistributed with a mean of 80 minutes

Artist 52 [7]

Answer:

a) 0.023

b) 0.286

c) 10 students will be unable to complete the exam inthe allotted time.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 80 minutes

Standard Deviation, σ = 10 minutes

We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(completing the exam in one hour or less)

P(x < 60)

$P( x < 60) = P( z < \displaystyle\frac{60 - 80}{10}) = P(z < -2)$

Calculation the value from standard normal z table, we have,

$P(x < 60) =0.023= 2.3\%$

b) P(complete the exam in more than 60 minutes but less than 75 minutes)

$P(60 \leq x \leq 75) = P(\displaystyle\frac{60 - 80}{10} \leq z \leq \displaystyle\frac{75-80}{10}) = P(-2 \leq z \leq -0.5)\\\\= P(z \leq -0.5) - P(z < -2)\\= 0.309- 0.023 = 0.286= 28.6\%$

c) P(completing the exam in more than 90 minutes)

P(x > 90)

$P( x > 90) = P( z > \displaystyle\frac{90 -80}{10}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 90) = 1 - 0.8413 = 0.1587 = 15.87\%$

15.87% of children of class will require more than 90 minutes to complete the test.

Number of children =

$\dfrac{15.87}{100}\times 60 = 9.52\approx 10$

Approximately, 10 students of class will require more than 90 minutes to complete the test.

4 0

3 years ago

Last Sunday 1,575 people visited the amusement park. 56% of the visitors were adults, 16% were teenagers, and 28% were children

Igoryamba

Answer:

Step-by-step explanation:

line up your givens like this:

1, 575 visitors 100%

? adults 56%

? teeenagers 16%

? children. 28%

cross-mulyiply

adults*100 = 1,575*56

teens*100 = 1,575*16

children*100 = 1,575*28

divede each side by 100

adults= 1,575*56/100

teens = 1,575*16/100

children= 1,575*28/100

solve

adults= 882, teens = 252, children= 441

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2 years ago

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A type of organism's cells split every minute. If the organism has 4 cells when the cells begin to split, how many cells will th

aivan3 [116]

256 will be your answer

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2 years ago

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Given the linear equation 2x+y=6, perform the necessary operations to put the equation into the proper general form. Include the

forsale [732]

The general form of the given equation is 2x+y-6 = 0.

<u>Step-by-step explanation</u>:

The given linear equation is 2x+y=6.
The general form of the equation is AX+BY+C=0.

where,

A is the co-efficient of x.
B is the co-efficient of y.
C is the constant term.

<u>From the given equation 2x+y=6, it can be determined that</u> :

The co-efficient of x is 2. It is in the form AX = 2x. Thus, no change is needed.

The co-efficient of y is 2. It is in the form BY = 1y. Thus, no change is needed.

The constant term 6 should be replaced to the left side of the equation, since the right side of the equation must be 0 always.

While moving the constant term form one side of the equation to other side, the sign changes from +ve to -ve.

Therefore, the general form is given as 2x+y-6 = 0.

7 0

2 years ago