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mart [117]
3 years ago
9

The table below gives the dimensions of a bridge and a scale model of the bridgeFind the scale factor of the model to the real b

ridge.write your answer as a fraction in simplest form.

Mathematics
1 answer:
Oksana_A [137]3 years ago
3 0
The corresponding sides of the model and the actual bridge are in proportion because the two solids are similar.

The scale factor from the model to the actual bridge is 5/25 = 6/30 = 8/40 = 1/5.

Answer:  1/5
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Suppose that a market research firm is hired to estimate the percent of adults living in a large city who have cell phones. 500
Alborosie

Answer:

The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 500, \pi = \frac{421}{500} = 0.842

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.842 - 1.96\sqrt{\frac{0.842*0.158}{500}} = 0.81

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.842 + 1.96\sqrt{\frac{0.842*0.158}{500}} = 0.874

The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).

6 0
3 years ago
Please help 7th grade math question? URGENT! awarding brainliest!
Ivenika [448]

correct Option is B i.e, 72x^2+288x^2-216x whose simplified form is: 360x^2-216x

Step-by-step explanation:

We need to solve the expression:

2[(6x)(6x)]+4[(12x - 9)(6x)]

Solving:

2[(6x)(6x)]+4[(12x - 9)(6x)]\\=2[36x^2]+4[(12x*6x)-(9*6x)]\\=72x^2+4[72x^2-54x]\\=72x^2+288x^2-216x\\=360x^2-216x

So, correct Option is B i.e, 72x^2+288x^2-216x whose simplified form is: 360x^2-216x

Keywords: Surface area of the rectangular prism

Learn more about surface area of the rectangular prism at:

  • brainly.com/question/12613605
  • brainly.com/question/6443737
  • brainly.com/question/3306327

#learnwithBrainly

4 0
3 years ago
PLS HELP I WILL AWARD BRANLIEST
sveticcg [70]

Answer:

x = 14

2x = 28

6x = 84

Step-by-step explanation:

6x = 180 - 124 + 2x

4x = 56

x = 14

7 0
2 years ago
What function is shown on the graph ??
galina1969 [7]
The function shown is f(x)= -1/2 cos(x).

sin(x) makes the line way more “curverier” So both sin(x) functions are out. It is NOT 1/2 cos(x) because it would make the y-intercept 0, not .5 In the picture it’s starting at .5 so it’s f(x)=-1/2 cos(x)
4 0
3 years ago
Brainly annie has 2 bags of apples and 5 single apples eva has 1 bag of apples and 11 single apples they have the same amount of
bekas [8.4K]

Answer:

34 apples

Step-by-step explanation:

To answer: try setting up each of the equations for Annie and Eva.

Annie: 2(bag) + 5

Eva: 1(bag) + 11

Those two equations equal each other. So set that up:

2(bag) + 5 = 1(bag) + 11

Now solve for the size of the bag.

2(bag) - 1(bag) = 11 - 5

1(bag) = 6 apples

Now substitute 6 back into either equation to determine number of apples.

Annie: 2(6) + 5 = 12+5=17

They each have 17, so there are 34 apples in total.

5 0
2 years ago
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