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iVinArrow [24]
3 years ago
14

Monica works at a local bike shop. On Friday, she sold 5 mountain bikes and 10 road bikes. On Saturday, she sold 9 mountain bike

s and 15 road bikes. Did Monica sell the same ratio of mountain bikes to road bikes on both days?
Mathematics
1 answer:
Delvig [45]3 years ago
5 0

Answer:

they aren't the same ratio

Step-by-step explanation:

ratio of 5:10 then 9:15

5/10 and 9/15

and that is simplified

2.5/5 and 3/5 so they aren't the same ratio

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A gondola (cable car) at a ski area holds 50 people. Its maximum safe load is 10000 pounds. A population of skiers has a distrib
fenix001 [56]

Answer:   0.03855

Step-by-step explanation:

Given :A population of skiers has a distribution of weights with mean 190 pounds and standard deviation 40 pounds.

Its maximum safe load is 10000 pounds.

Let X denotes the weight of 50 people.

As per given ,

Population mean weight of 50 people = \mu=50\times190=9500\text{ pounds}

Standard deviation of 50 people =\sigma=40\sqrt{50}=40(7.07106781187)=282.84

Then , the probability its maximum safe load will be exceeded =

P(X>10000)=P(\dfrac{X-\mu}{\sigma}>\dfrac{10000-9500}{282.84})\\\\=P(z>1.7671-8)\\\\=1-P(z\leq1.7678)\ \ \ \ [\because\ P(Z>z)=P(Z\leq z)]\\\\=1-0.96145\ \ \ [\text{ By p-value of table}]\\\\=0.03855

Thus , the probability its maximum safe load will be exceeded = 0.03855

3 0
3 years ago
Use the quadratic formula to find the solutions to the equation x^2-3x+1=0
Gnom [1K]

Answer:

x_{1}=\frac{+3+\sqrt{5} }{2}\\\\x_{2}=\frac{+3-\sqrt{5} }{2}

Step-by-step explanation:

Using:

x=\frac{-b+-\sqrt{b^{2}-4*a*c} }{2*a}

we will have two solutions.

x^2-3x+1=0

So, a=1   b=-3  c=1

x_{1}=\frac{+3+\sqrt{-3^{2}-4*1*1} }{2*1}\\\\x_{2}=\frac{+3-\sqrt{-3^{2}-4*1*1} }{2*1}

We have two solutions:

x_{1}=\frac{+3+\sqrt{5} }{2}\\\\x_{2}=\frac{+3-\sqrt{5} }{2}

4 0
3 years ago
Find Value of X<br><br> 88<br><br><br> 82<br><br><br> 76<br><br><br> 94
morpeh [17]
I think it is 88 not sure though
7 0
3 years ago
Read 2 more answers
Find the distance between the two points S (-5,-2) and T (-3,4).
icang [17]

Answer:

d =2 \sqrt{10}

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra II</u>

  • Distance Formula: d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

S (-5, -2)

T (-3, 4)

<u>Step 2: Find distance </u><em><u>d</u></em>

  1. Substitute:                    d = \sqrt{(-3+5)^2+(4+2)^2}
  2. Add:                              d = \sqrt{(2)^2+(6)^2}
  3. Evaluate:                      d = \sqrt{4+36}
  4. Add:                              d = \sqrt{40}
  5. Simplify:                       d =2 \sqrt{10}
6 0
3 years ago
Matt spent 1/3 of the money in his pocket on a movie ticket. he spent 1/4 of the money on a snack. what fraction of his money is
Alenkasestr [34]
What is left is 5/12 of his money
5 0
3 years ago
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