A random sample of likely voters showed that 62​% planned to vote for Candidate​ X, with a margin of error of 4 percentage points and with​ 95% confidence.
b. Is there evidence that Candidate X could​ lose?

Answer: 17/52

Step-by-step explanation:

There are 52 total cards in a standard deck.

The number of diamonds in a deck of cards is 13 and there are 4 jacks in a deck of cards.

So the propabibilty of Pat picking a diamond is 13/52 and the probability of Pat picking a jack is 4/52. Now you have to add the two probabilities together.

You do not remove any digits because Pat put the card back into the deck, he didn't take it away. So we do not take away from the total

13 + 4 = 17

You do not need to change the denominator cause 52 is the same.

So 17/52 is the probability of Pat picking a diamond or a jack

I hope this helped!

Answer:

Step-by-step explanation:

3t-12<9

   +12  +12

3t<21

--   ---

3    3

t<7

Answer:

inequality form: t<1

interval Notation : ( -∞,1)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

On the social and economic structure of the United States, the agricultural tractor had a significant influence.

To learn more about mathematics refer to:

https://brainly.com/question/929808

#SPJ1

The third driver ploughed 2.3 hectors of land, the second driver ploughed 2.3 + 2.4 = 4.7 hectors of land, and the first driver ploughed (4.7)/2 = 2.35 hectors of land.

Let's call the amount of land ploughed by the third driver "x".

The second driver ploughed 2.4 more than the third driver, so they ploughed x + 2.4.

The first driver ploughed half of what the second driver ploughed, so they ploughed (x + 2.4)/2.

In total, the three drivers ploughed x + (x + 2.4) + (x + 2.4)/2 = 3.5x + 4.2 hectors of land.

We know that the total amount of land ploughed is 12.4 hectors, so we can set up an equation:

3.5x + 4.2 = 12.4

Solving for x:

3.5x = 8.2

x = 2.3

So the third driver ploughed 2.3 hectors of land, the second driver ploughed 2.3 + 2.4 = 4.7 hectors of land, and the first driver ploughed (4.7)/2 = 2.35 hectors of land.

To learn more about equation refer to:

https://brainly.com/question/10413253

#SPJ1

The solutions in the interval 0 to 2π are x = cos⁻¹(√(3/320)) + 2πn, where n is an integer.

The equation we are given is 3sec²x - 320 = 0, and we are asked to find all solutions in the interval 0 to 2π. Here, sec²x means the square of the secant of x.

To solve this equation, we need to first isolate the variable, which in this case is x. To do this, we can begin by adding 320 to both sides of the equation, which gives us:

3sec²x = 320

Next, we can divide both sides of the equation by 3 to get:

sec²x = 320/3

Now, we need to take the square root of both sides of the equation. However, we must be careful because the square root of a number can have both positive and negative values. In this case, since secant is positive in the first and fourth quadrants of the unit circle, we only need to consider positive square roots. Therefore, we have:

secx = √(320/3)

Using the definition of the secant function, which is the reciprocal of cosine, we can rewrite this as:

cosx = √(3/320)

Now, we can take the inverse cosine of both sides of the equation to find the value(s) of x that satisfy the equation. Again, we must be careful to take the inverse cosine only of the positive value of the right-hand side. This gives us:

x = cos⁻¹(√(3/320))

This is the general solution of the equation. However, we need to find all solutions in the interval 0 to 2π. Since cosine is a periodic function with a period of 2π, we can find all solutions by adding integer multiples of 2π to the general solution.

To know more about equation here

https://brainly.com/question/21835898

#SPJ4

Answer:

b= -1/5

Step-by-step explanation:

Though a variable's sign changes when it is multiplied by -1, its absolute value does not. Therefore, we can eliminate the 1:

1/5+b=0

b+1-1/5=0-1/5

b+0/5= 0 -1/5

b=0 -1/5

and you have b= -1/5 as your answer

Answer:

See the picture below

Step-by-step explanation:

You start from the center given (-7,-6),  then count how many spaces from the center to that point.  Take that number and triple it to find the new point.  I drew lines so that you could see the path of two of the points.  

The path that I did not draw was from the point (-3,-2).  If you start at (-7,-6) you will have to move 4 spaces to the right and 4 spaces up to get to (-3,-2)  Now triple that.  You will move 12 spaces to the right and 12 spaces up for the new point of (5,6)

Answer:

-9/5; -1 4/5; -1.8

Step-by-step explanation:

Answer:

216 cm^2

Step-by-step explanation:

IT is Given triangle NED, and that sin(N) = 4/5, tan(N) will be equal to 4/3.

Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse. These are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).

Trigonometric ratios are for a right angled triangle are from the perspective of a particular non-right angle.

In a right angle triangle, the two such angles are there which are not right angled(not of 90 degrees) and the slant side is called hypotenuse.

WE have been Given that a triangle NED, and that sin(N) = 4/5,

we know that sin N = perpendicular/ hypotenuse

sin(N) = 4/5

Then base² = hypotenuse²  - perpendicular²

Base = 3

tan(N) = perpendicular/ Base

tan(N) = 4/3

Therefore, the tan(N) will be equal to  4/3.

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

#SPJ1

Answer:

57

Step-by-step explanation:

Get the absolute value of subtracting -27 from 30 (absolute value essentially meaning you make the answer positive no matter what). -27-30 = -57, and its absolute value is 57, which is the distance.

The absolute value is there because the distance can't be negative, as in you can't travel negative 2 miles to the grocery store. Hope this helps.

Answer:

Rotation is the answer to your problem.

Step-by-step explanation:

Answer:

x=25

Step-by-step explanation:

25 degree angle is the same as x

Answer:

75%

Explanation:

Given the following;

Number of student at the beginning = 18 students

Number of students at the end = 24 students

Increase in number of student = 24 - 18

Increase in number of student = 6

% increase = Increment/Number at the begining * 100

% increase = 6/18 * 100

% increase = 600/8

% increase = 75%

(a) The probability that exactly two of the four components last longer than 1,000 hours is 0.3679

(b) The probability that the subsystem operates longer than 1,000 hours is 0.8130

(a) Let X be the number of components that last longer than 1,000 hours. Then X follows a binomial distribution with n = 4 and p = 0.55 (the probability that a component lasts longer than 1,000 hours is 1 - 0.45 = 0.55). The probability that exactly two of the four components last longer than 1,000 hours is

P(X = 2) = (4 choose 2) × 0.55^2 × 0.45^2 = 6 × 0.3025 × 0.2025 = 0.3679

So the probability that exactly two of the four components last longer than 1,000 hours is 0.3679 (rounded to four decimal places).

(b) The subsystem will operate if any two of the four components are operating. This means that the subsystem will fail if either none or only one component is operating. Let Y be the number of components that are operating. Then Y follows a binomial distribution with n = 4 and p = 0.45 (the probability that a component fails in less than 1,000 hours is 0.45). The probability that none of the four components are operating is

P(Y = 0) = 0.45^4 = 0.0081

The probability that exactly one of the four components is operating is

P(Y = 1) = (4 choose 1) × 0.55 × 0.45^3 = 0.1789

Therefore, the probability that the subsystem fails is

P(failure) = P(Y = 0) + P(Y = 1) = 0.0081 + 0.1789 = 0.1870

So the probability that the subsystem operates longer than 1,000 hours is

P(success) = 1 - P(failure) = 1 - 0.1870 = 0.8130 (rounded to four decimal places).

Learn more about probability here

brainly.com/question/29350029

#SPJ4

The total number of tickets sold = 516.

Let the number of student tickets sold be S.

Let the number of adult tickets sold be A.

According to the given condition,

Also,

Thus 129 adult tickets were sold.

Answer:

A. $115; $72/hour

B. c = 72h + 115

C. $8

Step-by-step explanation:

Part A.

1 hour: $187

2 hours: $259

2 hours - 1 hour = 1 hour

$259 - $187 = $72

$72/hour

The hourly rate is $72/hour.

Since for the first hour he charges $187, and only $72 comes from the hourly rate, then the initial cost is $187 - $72 = $115.

The initial cost is $115.

Part B.

c = 72h + 115

Part C.

Carpenter L for 6 hours:

c = 72(6) + 115 = 547

$547

Carpenter N for 6 hours:

60(6) + 195 = 555

$555

Difference: $555 - $547 = $8

By conducting this regression analysis, you will gain insights into how the "proportion" variable influences the likelihood of being married.

To carry out a regression of the variable "married dummy" on the variable "proportion" and name it as Exhibit 1, you would use statistical software such as R, Python, or Excel. The "married dummy" variable should be coded as 0 or 1, where 0 represents unmarried and 1 represents married individuals. The "proportion" variable represents the proportion of a specific characteristic, such as income or education level.

Using the regression analysis, you can determine the relationship between the "married dummy" variable and the "proportion" variable. The regression model will provide you with coefficients that indicate the magnitude and direction of the relationship.

Since you specifically asked for a long answer of 200 words, I will provide additional information. Regression analysis is a statistical technique that helps to understand the relationship between variables. In this case, we are interested in examining whether the proportion of a certain characteristic differs between married and unmarried individuals.

The regression model will estimate the intercept (constant term) and the coefficient for the "proportion" variable. The coefficient represents the average change in the "married dummy" variable for each one-unit increase in the "proportion" variable.

The regression output will also include statistics such as R-squared, which indicates the proportion of variance in the dependent variable (married dummy) that can be explained by the independent variable (proportion). Additionally, p-values will indicate the statistical significance of the coefficients.

Know more about the regression

https://brainly.com/question/13266116

#SPJ11

Answer:

Kindly check attached picture

Step-by-step explanation:

A standard dice has 6 faces numbered {1,2,3,4,5,6}

For 2 dice, n = 2 ; sample space = n² = 6² = 36

The sum of the 2 upward facing dots:

{(1,1) (1,2) (1,3) (1,4) (1,5) (1,6);

(2,1 ) (2,2),(2,3),(2,4),(2,5),(2,6) ;

(3,1)(3,2)(3,3)(3,4)(3,5)(3,6);

(4,1)(4,2)(4,3) (4,4)(4,5)(4,6);

(5,1)(5,2)(5,3)(5,4)(5,5)(5,6);

(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)}

Answer:

Hello!!

If you have $19 dollars left... you had $9.50 to start with

Step-by-step explanation:

\(35\)÷\(2=17.5-8=9.5\)

\(19-9.50=9.50\)

Hope this helps!!

Answer:

She bought 5 pounds of coffee.

Step-by-step explanation:

We are looking for how many pounds so pounds would be your x.

each pound costs $8.62.

You are taking the money she payed for the coffee away from the $70 she received.

Set up your equation

70 - 8.62x = 26.90

Solve for x  

Subtract 70 from both sides  70-70 (Cancels out) - 8.62x= 26.90-70

-8.62x = -43.10

Divide -8.62 from each side.  -8.62/-8.62(cancels out) x = -43.10/-8.62 (two negative numbers multiplied or divided by each other makes a positive)

x=5

It is not appropriate to compare two means at a time in the way described. This would inflate the overall Type I Error and is a 'Multiple Testing' problem. The one-way ANOVA controls for the Type I Error and should be used instead. Comparing multiple pairs of means using independent two-sample t-tests without adjusting for the multiple comparisons can lead to an increased probability of committing a Type I error.

When comparing three or more populations means within a set of quantitative data that is categorized according to one factor/treatment, it is appropriate to use a one-way ANOVA instead of multiple independent two-sample t-tests. The reason is that performing multiple t-tests increases the overall Type I error rate, which is the probability of falsely rejecting a true null hypothesis. This is known as the multiple testing problem, and it occurs when we conduct multiple hypothesis tests without controlling the overall error rate.

In contrast, the one-way ANOVA controls for the Type I error rate and tests the null hypothesis that all population means are equal. If the null hypothesis is rejected, then at least one population mean is significantly different from the others. We can then perform post-hoc tests, such as Tukey's HSD, to determine which population means are different.

To know more about ANOVA,

https://brainly.com/question/23638404

#SPJ11

Answer:

9

Step-by-step explanation:

id it's p value is 1 it will be 7.46*25 and if 2 tailed it will be 7.46*6875666772366

Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

The investment's expected return is 5.95%.

The expected return of an investment is calculated by multiplying the probabilities of each possible return by their respective returns and summing them up. In this case, Gautney Enterprises has provided the probabilities and returns for the investment. By applying the formula, we find that the expected return is 5.95%.

To calculate the standard deviation, we need to determine the variance first. The variance is computed by taking the difference between each possible return and the expected return, squaring those differences, multiplying them by their respective probabilities, and summing them up. Once we have the variance, the standard deviation is simply the square root of the variance. The standard deviation measures the degree of risk associated with an investment.

In this scenario, the expected return of the investment is 5.95%, but we need to consider the standard deviation as well to assess the risk. If the standard deviation is high, it indicates a greater level of uncertainty and potential volatility in returns. A low standard deviation implies a more stable investment.

Without the specific values for each return and their respective probabilities, we cannot calculate the exact standard deviation. However, Gautney Enterprises should compare the calculated expected return and the associated standard deviation to their risk tolerance and investment objectives. If the expected return meets their desired level of return and the standard deviation aligns with their risk appetite, they may consider investing in this security.

Learn more about standard deviation

brainly.com/question/31516010

#SPJ11

Answer:

17

Step-by-step explanation:

The value of the function at x  = 5 will be equal to f(5) = -3.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function.

In the function as the value of the independent variable varies the value of the dependent variable also varies.

From the given graph the equation of the curve or function is  f(x) = -2x + 7.

We need to find the value of f(5).

Calculate this by replacing x with 5

The value of the function at x=5 will be calculated as,

f(5) = -2(5) + 7.

f(5) = -10 + 7.

f(5) = -3.

Therefore, the value of the function at x  = 5 will be equal to f(5) = -3.

To know  more about a function follow

brainly.com/question/24748644

#SPJ5

Answer:

33

Step-by-step explanation:

25 multiplied by three fifths 125 x by 3. 14 divided by 375

Answer:

161 donuts

Step-by-step explanation:

(231+89)/2 then add one more donut as the question asked for at least $231

320/2 = 160 + one more donut = 161 donuts have to sold to make at least $231.

You have add the machine price as he wouldn't be making a profit off it if he didn't surpass what he spent for it.

Check your work by doing 161 times 2 minus 89 minus the 1 donut added and you'll get the $231. Not subtracting the one shows the profit of a dollar aka at least $231

Work Shown:

C = 2*pi*r

C = 2*3.14*11

C = 69.08

C = 69.1

This is the approximate distance around the circle, aka the perimeter.

Answer:

Circumference of cake (69.08cm)Rounding nearest to tenth is 69.1cm

Step-by-step explanation:

Given:

To find:

Solution:

To find the circumference of the circle we are require radius and which is already mentioned in the Ques.

Formula

Circumference of cake = 2*3.14*11

Circumference of cake= 22*3.14

Circumference of cake = 69.08cm

Hence, the circumference of cake is 69.08cm.

Circumference of cake (69.08cm)Rounding nearest to tenth is 69.1cm

Let ABC be the given triangle. We can construct two triangles PAB and PBC such that they share the same height from P to AB and P to BC, respectively. We can label the side lengths of PAB and PBC as x and y, respectively. The total area of the triangle ABC is the sum of the areas of PAB and PBC:

Area_ABC = Area_PAB + Area_PBC We can write the area of each of the sub-triangles in terms of x and y by using the formula for the area of a triangle: Area_PAB = (1/2)(12)(x) = 6xArea_PBC = (1/2)(15)(y) = (15/2)y Setting the areas equal to each other and solving for y yields: y = (4/5)x Substituting this into the equation for the area of PBC yields:

Area_PBC = (1/2)(15/2)x = (15/4)x The area of ABC can also be written in terms of x by using the formula: Area_ABC = (1/2)(AB)(PQ) = (1/2)(12)(PQ) + (1/2)(15)(PQ) = (9/2)(PQ) Setting the areas equal to each other yields:(9/2)(PQ) = 6x + (15/4)x(9/2)(PQ) = (33/4)x(9/2)(PQ)/(33/4) = x(6/11)PQ = x(6/11)Thus, we can see that the longest possible integer length of the third altitude is $\boxed{66}$.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ11