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makvit [3.9K]
1 year ago
14

Sara has agreed to help with her younger sister's science fair experiment. Her sister planted string beans in two pots. She is

Mathematics
1 answer:
Delvig [45]1 year ago
7 0

Answer: plants are same height in 30 days;  Plant A is tallest in 6 weeks

Step-by-step explanation:

x =  number of days

4 + (2/3)x = 9 + (1/2)x

(2/3)x - (1/2)x = 9 - 4

(1/6)x = 5

x = 30, number of days for Plant A and Plant B to be same height.

6 wks = 42 days

Plant A in 42 days:  4 + (2/3)(42) = 32 inches

Plant B in 42 days:  9 + (1/2)(42) = 30 inches

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Sherry is driving 390 miles to visit The gateway arch in St. Louis. She drives at an average rate of 65 miles per hour. Explain
grandymaker [24]

Answer:

t = 6 s

Step-by-step explanation:

Given that,

Sherry is driving 390 miles to visit The gateway arch in St. Louis.

She drives at an average rate of 65 miles per hour.

We need to find the amount of time it will take Sherry to get to the arch. Let the time is t.

Speed = distance/time

t=\dfrac{d}{v}\\\\t=\dfrac{390}{65}\\\\t=6\ h

Hence, it will take 6 hours to get to the arch.

8 0
3 years ago
According to the National Association of Colleges and Employers, the average starting salary for new college graduates in health
katen-ka-za [31]

Answer:

a) The probability that a new college graduate in business will earn a starting salary of at least $65,000 is P=0.22965 or 23%.

b) The probability that a new college graduate in health sciences will earn a starting salary of at least $65,000 is P=0.11123 or 11%.

c) The probability that a new college graduate in health sciences will earn a starting salary of less than $40,000 is P=0.14686 or 15%.

d) A new college graduate in business have to earn at least $77,133 in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences.

Step-by-step explanation:

<em>a. What is the probability that a new college graduate in business will earn a starting salary of at least $65,000?</em>

For college graduates in business, the salary distributes normally with mean salary of $53,901 and standard deviation of $15,000.

To calculate the probability of earning at least $65,000, we can calculate the z-value:

z=\frac{x-\mu}{\sigma} =\frac{65000-53901}{15000} =0.74

The probability is then

P(X>65,000)=P(z>0.74)=0.22965

The probability that a new college graduate in business will earn a starting salary of at least $65,000 is P=0.22965 or 23%.

<em>b. What is the probability that a new college graduate in health sciences will earn a starting salary of at least $65,000?</em>

<em />

For college graduates in health sciences, the salary distributes normally with mean salary of $51,541 and standard deviation of $11,000.

To calculate the probability of earning at least $65,000, we can calculate the z-value:

z=\frac{x-\mu}{\sigma} =\frac{65000-51541}{11000} =1.22

The probability is then

P(X>65,000)=P(z>1.22)=0.11123

The probability that a new college graduate in health sciences will earn a starting salary of at least $65,000 is P=0.11123 or 11%.

<em>c. What is the probability that a new college graduate in health sciences will earn a starting salary less than $40,000?</em>

To calculate the probability of earning less than $40,000, we can calculate the z-value:

z=\frac{x-\mu}{\sigma} =\frac{40000-51541}{11000} =-1.05

The probability is then

P(X

The probability that a new college graduate in health sciences will earn a starting salary of less than $40,000 is P=0.14686 or 15%.

<em />

<em>d. How much would a new college graduate in business have to earn in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences?</em>

The z-value for the 1% higher salaries (P>0.99) is z=2.3265.

The cut-off salary for this z-value can be calculated as:

X=\mu+z*\sigma=51,541+2.3265*11,000=51,541+25,592=77,133

A new college graduate in business have to earn at least $77,133 in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences.

8 0
3 years ago
If i bike travels 15m in 2 sec, what is its speen in km/h?
shutvik [7]

Answer:

x=27 km

Step-by-step explanation:

Make an equation 2/.015=3600/x

Multiply 3600 by .015 to get 54

Divide 54 by 2 to get 27.

3 0
3 years ago
Read 2 more answers
Shania is planning a party at her home. She has made 126 chocolate truffles and 84 caramel truffle to give to her guests if ther
Triss [41]
Each person would receive 6 chocolate truffles and 4 caramel truffles because 126÷21=6 and 84÷21=4.
3 0
3 years ago
Simplify 2x+3y^2 -2(x-y2)
poizon [28]

Multiply the bracket by -2

2x+3y^2 -2(x-y2)

2x+3y^2-2x+2y^2

2x-2x+3y^2+2y^2- rearranging

3y^2+2y^2

5y^2

Answer: 5y^2

6 0
3 years ago
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