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3 years ago

Find the area of the region enclosed by the curves y=x and y=(x-2)^2

Mathematics

2 answers:

belka [17]3 years ago

5 0

Answer:

Step-by-step explanation:

14.5845842 518.5874 funny

Andrej [43]3 years ago

4 0

Answer:

Step-by-step explanation:

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⦁ In a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football. Construct a 95% confiden

fomenos

Answer:

95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

Step-by-step explanation:

We are given that in a simple random sample of 1219 US adults, 354 said that their favorite sport to watch is football.

Firstly, the pivotal quantity for 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = proportion of adults in the United States whose favorite sport to watch is football in a sample of 1219 adults = $\frac{354}{1219}$

n = sample of US adults = 1291

p = population proportion of adults

Here for constructing 95% confidence interval we have used One-sample z proportion statistics.

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5%

significance level are -1.96 & 1.96}

P(-1.96 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ ) = 0.95

95% confidence interval for p = [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }$ ]

= [ $\frac{354}{1219}-1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} }$ , $\frac{354}{1219}+1.96 \times {\sqrt{\frac{\frac{354}{1219}(1-\frac{354}{1219})}{1219} }$ ]

= [0.265 , 0.316]

Therefore, 95% confidence interval for the proportion of adults in the United States whose favorite sport to watch is football is [0.265 , 0.316].

5 0

2 years ago

6x + 11 = 21 Help I’m on a quiz and this question is so confusing

Westkost [7]

Answer:

Step by Step Solution

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

6*x+11-(21)=0

Step by step solution :

STEP

Pulling out like terms

1.1 Pull out like factors :

6x - 10 = 2 • (3x - 5)

Equation at the end of step

STEP

Equations which are never true:

2.1 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2 Solve : 3x-5 = 0

Add 5 to both sides of the equation :

3x = 5

Divide both sides of the equation by 3:

x = 5/3 = 1.667

One solution was found :

x = 5/3 = 1.667

3 0

2 years ago

Plsss help I’ll give u brainlest and 5 or 10 points pls

Svetach [21]

Answer:

Step-by-step explanation:

That is not enough,that is why it is a no

PLs mark brainly

Hope this helps:)

8 0

3 years ago

Use the number line below, where RS=5y+5, ST=2y+5, and RT=52. a. What is the value of y? b. Find RS and ST.

Alchen [17]

Answer:

y = 6, RS = 35 and ST = 17

Step-by-step explanation:

Given that,

RS = 5y+5

ST = 2y+5

RT = 52

If we consider a number line,

RT = RS + ST

52 = 5y+5 + 2y+5

52 = 7y + 10

7y = 52-10

7y = 42

y = 6

RS = 5y+5

= 5(6)+5

= 35

ST = 2y+5

= 2(6) +5

= 17

Hence, this is the required solution.

3 0

2 years ago

The sign of the product of two integers with the same sign is positive. What is the sign of three integers with the same sign? E

Svetradugi [14.3K]

Can be both, because if all three were negative, it would be

negative*negative= positive
positive*negative=negative
example: -1*-1*-1=-1

but if all three were positive, it would obviously be positive, because any number of positives can't make negatives in multiplication.

4 0

3 years ago