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Alexus [3.1K]
2 years ago
8

A New York Times/CBS poll surveyed 1,027 adults nationwide about race relations in the United States. Of the sample, 61% respond

ed that race relations in this country are generally bad. The 95% confidence interval is (0.58, 0.64). Which of the following is an appropriate interpretation of the 95% confidence interval?
Mathematics
1 answer:
Naddik [55]2 years ago
5 0

The interpretation is that we are 95% confident that the true population proportion p is somewhere between 0.58 and 0.64

The population proportion p in this case refers to the proportion of people who feel that race relations in this country are generally bad.

Something like 0.58 converts to 58% when you move the decimal point 2 spots to the right.

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Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers
Bas_tet [7]

You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.

If the x^2 coefficient is 1, i.e. the equation is written like x^2+bx+c=0, then you can say the following about the coefficients b and c:

  • b is the opposite of the sum of the roots
  • c is the multiplication of the roots.

So, for example, if we want an equation whose roots are 4 and -2, we have:

  • 4+(-2) = 4-2 = 2 \implies b = -2
  • 4 \cdot (-2) = -8 \implies c = -8

So, the equation is x^2-2x-8=0

If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

  • \dfrac{3}{4}+\dfrac{1}{2} = \dfrac{3}{4}+\dfrac{2}{4} = \dfrac{5}{4} \implies b = -\dfrac{5}{4}
  • \dfrac{3}{4} \cdot \dfrac{1}{2} = \dfrac{3}{8} \implies c = \dfrac{3}{8}

And so the equation is

x^2 - \dfrac{5}{4} + \dfrac{3}{8} = 0

In order to have integer coefficients, you can multiply both sides of the equation by 8:

8x^2 - 10 + 3 = 0

5 0
3 years ago
Does the system have no solution?​
kvv77 [185]

Answer:

\mathrm{A)\:}-6

Step-by-step explanation:

Notice that in the second equation, the coefficient of y is 2 times greater than in the first. Therefore, by making the coefficient of x in the second equation 2 times greater than in the first, it's impossible to only isolate one variable.

Therefore, when a=-3\cdot 2=\fbox{-6}, there are no solutions to this system.

6 0
3 years ago
Cuanto es 6x8-=1000000
stira [4]

Answer:

48

Step-by-step explanation:

8 0
2 years ago
There are 8 green apple and 7 red apples in a basket. what is the ratio of all apple in the basket to red apples
Pavlova-9 [17]
The ratio of apples in the basket it 8:7
8 0
3 years ago
Read 2 more answers
Three friends: Lana, Omar, and George shared 22 JDs in the ratio
Mice21 [21]

Answer:

x=5

Step-by-step explanation:

2:x:4

Lana Omar and George

Omar's share is 10 JD

22-10 is 12

2x+4x=12

6x=12

x=2

So put the ratio to

4:2x:8

x=5

x is 5.

Hope this helps Merry Christmas!

7 0
2 years ago
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