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DanielleElmas [232]
2 years ago
9

It was time for the Fourth of July parade. Marty was helping to put helium in the balloons. When he was finished he had inflated

1,147 balloons. There were 255 more white balloons than red ones. There were 116 fewer blue balloons than white ones. How many balloons of each color did Marty inflate?
Mathematics
1 answer:
Julli [10]2 years ago
8 0

The balloons of each color that Marty inflated are:

  • Marty
  • inflate
  • red 271
  • ballons
  • Marty
  • inflate
  • red 380
  • ballons

This is further explained below.

<h3>How many balloons of each color did Marty inflate?</h3>

Generally, the equation for the statement is mathematically given as

w= r+225

w - 225 = r

Therefore

w - 116 = b

Where

r + w + b = 1147

(w - 225 )+w +( w - 116)=1147

3w = 1147 + 341

w = 496

In conclusion, For Red

w - 225 = r

496 - 225 = r

r=271

Marty inflate red 271 ballons

For  blue

w - 116 = b

496  - 116 =380

b=380

Marty inflate red 380 ballons

Read more about Arithmetic

brainly.com/question/22568180

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A simple random sample of size n=14 is obtained from a population with μ=64 and σ=19.
madam [21]

Answer:

a) A. The population must be normally distributed

b) P(X < 68.2) = 0.7967

c) P(X  ≥  65.6) = 0.3745

Step-by-step explanation:

a) The population is normally distributed having a mean (\mu_x) = 64  and a standard deviation (\sigma_x) = \frac{19}{\sqrt{14} }

b) P(X < 68.2)

First me need to calculate the z score (z). This is given by the equation:

z=\frac{x-\mu_x}{\sigma_x} but μ=64 and σ=19 and n=14,  \mu_x=\mu=64 and \sigma_x=\frac{ \sigma}{\sqrt{n} }=\frac{19}{\sqrt{14} }

Therefore: z=\frac{68.2-64}{\frac{19}{\sqrt{14} } }=0.83

From z table, P(X < 68.2) = P(z < 0.83) = 0.7967

P(X < 68.2) = 0.7967

c) P(X  ≥  65.6)

First me need to calculate the z score (z). This is given by the equation:

z=\frac{x-\mu_x}{\sigma_x}

Therefore: z=\frac{65.6-64}{\frac{19}{\sqrt{14} } }=0.32

From z table,  P(X  ≥  65.6) =  P(z  ≥  0.32) = 1 -  P(z  <  0.32) = 1 - 0.6255 = 0.3745

P(X  ≥  65.6) = 0.3745

P(X < 68.2) = 0.7967

5 0
3 years ago
1Jada made 6 cups of blueberry jam and divided the jam equally among 4 containers. How much jam went in each container? ​I pick
creativ13 [48]

Answer:

That would be 1.5

Step-by-step explanation:

Here it is.

3 0
3 years ago
Can you help I have tried 4 times
docker41 [41]

Answer:

5120oz/12=426.667 ounces.

Step-by-step explanation:

We know 1 pound = 16 oz. If we want to find out how many ounces are in 320 lbs, we must multiply 16 by 320 = 5120 ounces. Now we must divide by 12 to see how much she ate per month. 5120 divided by 12 is 426.667 or 426 and 2/3 ounces per month.

Alternatively, we can set up a proportion 1 lb / 16 ounces = 320 lb / x ounces. We cross multiply 1 times x = 320 times 15. On the left hand side we just have x and on the right hand side we get 5120. Hence, x=5120 ounces per year. To find how many she ate per month we must divide by 12 since there are 12 months in a year. So it comes out to 426 and 2/3 ounces per month.

 

Here are the equations: (1lb)(320lb)=(16oz)(320oz) implies 320lb=5120oz. Then divide 5120oz 12 to get how much she ate per month: 5120oz/12=426.667 ounces.

7 0
3 years ago
It costs $20 to get into Dollywood. Each ride costs an extra $4. f(x) = 20 + 4x is a function representing the total cost of a t
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Answer:

f(x)=20+4x = -5

Step-by-step ;

answer is -5 .

6 0
3 years ago
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