Which statement about a parallelogram is false?
Diagonals are congruent.
Diagonals bisect each other.
Opposite sides are congruent.
Opposite angles are congruent.

Items in A and C, but not B is the required region.

Sets are groups of well-defined objects or components in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.

Given:

A ∩ B' ∩ C

That means,

A intersection not B intersection C.

B' is the complement of set B.

So, the region is,

Items in A and C, but not B.

Therefore, the items in A and C but not in B.

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Therefore , the solution of the given problem of percentage comes out to be $387.704 is the weekly unemployment amount.

In mathematics, a percentage is any amount that can be stated as a proportion of 100. Also occasionally used are the abbreviations "pct.," "pct," or "pc." But the "%" mark is usually used to indicate it. The proportional amount is flat and lacks any dimensions. Since percentages have a numerator of 100, they can be thought of as fractions. A number should be preceded by the percent sign (%) to denote it is a percent.

Here,

Given :

A weekly unemployment amount is calculated using the following three components:

1. Determine the quarterly wage total (consecutive)

2. Multiply the sum by 26.

3.Multiplying by the rate of unemployment

Calculate the total of a quarterly salaries first:

=> (12950.80 + 12250.10) / 26

=>  25,200.9/26

=> 969.26 * 40 %

=> 387.704

Therefore , the solution of the given problem of percentage comes out to be $387.704 is the weekly unemployment amount.

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Answer:

30

Step-by-step explanation:

use a calculator lol

Answer: 30x

Step-by-step explanation:

Answer:

tan^2 60 - sin^2 45

= (√3)^2- (1/√2)^2

= 3-1/2

= 6-1/2

= 5/2

Answer:

\(\frac{5}{2}\)

Step-by-step explanation:

The exact value of tan(60) is sqrt(3), and sin(45) is 1/sqrt(2)

tan^2 (60) - sin^2 (45)

\(=(\sqrt{3})^2-(\frac{1}{\sqrt{2}} )^2\\=3-\frac{1}{2}\\ = \frac{5}{2}\)

Answer:

See attached image

Step-by-step explanation:

In the complex plane, the x-axis represents real numbers and the y-axis represents imaginary numbers.

Answer:

1. 55.5

2. 54.5

Step-by-step explanation:

Use division to convert the fraction to a decimal:

1/4 = 1 ÷ 4 = 0.25

Multiply by 100 to get percent value:

0.25 × 100 = 25%

Answer:

1. 0.56

percentage: 56%

2. 0.55

percentage: 55%

Step-by-step explanation:

5/9 to decimal= 0.56

to percentage multiply by 100

same for the second one

The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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Answer: answer is C

Step-by-step explanation:

for find x
(5x+30)+5x=90
 5x+30+5x=90 add like terms
after,
 10x+30=90
10x+30-30=90-30
 10x/10=60/10
   x = 6

to obtain answer as C
it mean
(5x+30)+5x=90
(5(6)+30)+5(6)=90 we know x=6 so add 6 to x and multiply and obtain answer is correct!
30+30+30=90

Answer:

t^7

Step-by-step explanation:

there are 7 ts so it is t to the power of 7

The sample size and sample proportion have a more significant impact on whether a sample proportion shows significance, while the number of simulated samples in the randomization distribution mainly affects the accuracy and stability of the p-value.

To find the p-value using StatKey with 5,000 simulated samples and determine if there is evidence that the coin is biased at a 5% significance level, follow these steps:
1. Open StatKey and choose the appropriate tool for proportions (you can find this under "Randomization Tests").
2. Enter the sample size, the sample proportion, and the number of simulated samples (5,000) in the given fields.
3. Click "Calculate" or "Simulate" to generate the randomization distribution.
4. Observe the p-value displayed by StatKey.

If the p-value is less than or equal to 0.05 (5% significance level), there is evidence that the coin is biased.

If the p-value is greater than 0.05, there is not enough evidence to conclude that the coin is biased.
Now, let's discuss the impact of each factor on the sample proportion's significance:
1. Sample size:

A larger sample size increases the power of the test, making it more likely to detect a biased coin if it exists. This is because larger sample sizes reduce sampling variability, leading to narrower confidence intervals and more precise estimates.
2. Sample proportion:

A sample proportion that deviates more from the expected proportion (0.5 for a fair coin) increases the likelihood of finding significance, as it indicates a stronger departure from the null hypothesis of no bias.
3. Number of simulated samples in the randomization distribution:

Increasing the number of simulated samples makes the p-value more accurate and stable.

However, the impact of this factor is generally smaller than the other two factors, as the p-value will often converge to a stable value after a certain number of simulations.

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Answer: C

Step-by-step explanation:

The rest of the quadrilaterals provided have 2 pairs of parallel lines.

The choice is:

Explanation:

The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.

Here's what a trapezoid looks like :

\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)

Answer:

answer should be 2

Step-by-step explanation:

2^2+14=18

Answer:

  C) 2, -2

Step-by-step explanation:

When you subtract 14 from both sides of the equation, you are left with ...

  x^2 = 4

Taking the square root of both sides gives ...

  x = ±√4 = ±2

Solutions are x = 2, x = -2.

_____

Alternate solution

Subtract 18 from both sides of the equation.

  x^2 -4 = 0

  (x -2)(x +2) = 0 . . . . . factor the differenc   x = 2, x = -2e of squares

. . . . . . values of x that make the factors zero

The zero product rule tells you the product is only zero if one or more of the factors is zero.

Answer:

Step-by-step explanation:

Write 34 in tens and units.

34 = 30 + 4

9(30 + 4)

9 * 30 = 270

9* 4 = 36

270 + 36 = 306

After awhile if your practice enough, you can do them in your head.

There are 152 red pens and 190 blue pens in Max's drawer, given that there are a total of 342 pens altogether.

Let's solve the problem step by step:

Identify the given information:

The ratio of red pens to blue pens is 4 to 5.

There are a total of 342 pens in the drawer.

Set up the ratio equation:

Let's assume the number of red pens is 4x, and the number of blue pens is 5x.

Here, 'x' is a scaling factor that allows us to find the actual number of pens.

We can write the equation as: 4x + 5x = 342.

Simplify and solve the equation:

Combining like terms, we have 9x = 342.

Divide both sides of the equation by 9 to solve for 'x':

x = 342 / 9 = 38.

Calculate the number of red pens and blue pens:

Now that we have the value of 'x', we can find the number of red and blue pens:

Number of red pens: 4x = 4 × 38 = 152.

Number of blue pens: 5x = 5 × 38 = 190.

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Answer:

1=1

Step-by-step explanation:

yes

The class had cleaned x × A square miles before lunch.

Let's assume that the area of the park is A square miles, and the portion of the park cleaned by Mai's class before the lunch break is represented by x (a fraction or decimal between 0 and 1).

If the class had cleaned x portion of the park, then the area they had cleaned is x times the total area of the park:

Area cleaned before lunch = x × A

Since x represents a fraction or decimal, multiplying it by the total area A gives us the corresponding portion of the park that was cleaned.

Let's say the park has an area of A square miles, and the area that Mai's class cleaned up before lunch is denoted by the number x (a fraction or decimal between 0 and 1).

If the class had cleaned a certain percentage of the park, their cleaned area would be x times the park's overall area:

Before lunch, the area was cleaned = x A

We may calculate the proportion of the park that was cleaned by multiplying x by the entire area A because it indicates a fraction or decimal.

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Answer:

Step-by-step explanation:

m∠CGE = m∠FGD = (2x + 4)° [vertically opposite angles]

If m∠BGC = 90° Or AB⊥CD,

m∠CGE + m∠EGB = 90°

(2x + 4)° + (11x - 5)° = 90°

13x - 1 = 90

13x = 91

x = 7

This isnt the answer but its an example of what the equation looks like

Let's represent the number with the variable "x". According to the given property, we can write the following equation:

3(x + 4) < 7x

Now, let's solve this inequality to find the range of numbers that satisfy the property.

3x + 12 < 7x

Subtract 3x from both sides:

12 < 4x

Divide both sides by 4 (since the coefficient of x is 4):

3 < x

So, the range of numbers that satisfy the given property is x > 3.

Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:

Step-by-step explanation:

3x × 8x- 3x×16

24x -48x

-24x

After simplification of the given expression, the resultant answer is (B) −3.03u + (−8).

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

It's possible to multiply, divide, add, or subtract with this mathematical operation.

Keep in mind that terms can be coefficients, constants, or variables. So, 1+1 is a straightforward example of an expression.

This equation has one operation, two constant terms, and (addition). x3 is another illustration.

So, the given expression is:

(4.57u − 14) − (−6 + 7.6u)

Then, solve as follows:

4.57u - 14 - ( -6 + 7.6u)

4.57u - 14 + 6 - 7.6u

4.57u - 7.6u = -3.03u AND -14 + 6 = -8

-3.03u - 8 (or -3.03u + (-8) )

Therefore, after simplification of the given expression, the resultant answer is (B) −3.03u + (−8).

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Correct question:

Simplify the expression.

(4.57u − 14) − (−6 + 7.6u)

A. −3.03u + (−20)

B. −3.03u + (−8)

C. 12.17u + (−20)

D. 12.17u + (−8)

Answer:

The value is   \(p-value  =  0.22663\)

Step-by-step explanation:

From the question we are told that

    The proportion of bruised tomatoes p =  0.08

    The  null hypothesis is  \(H_o  :   p =  0.08\)

    The alternative hypothesis is  \(H_a  :  p >  0.08\)

    The sample size is  n  =  600

    The number of bruised tomatoes from the sample selected is  k  =  53

    The test statistics is  z =0.75

Generally the p-value is mathematically represented as

      \(p-value  =  P(Z > z)\)

=>    \(p-value  =  P(Z > 0.75)\)

From the z-table  

    \(P(Z > 0.75) =  0.22663\)

So  

    \(p-value  =  0.22663\)

Answer:

P-value ≈ 0.2266

Step-by-step explanation:

Answer: 101

Step-by-step explanation: 1+5x20 then 100+1= 101

Answer:

100 + 80

Step-by-step explanation:

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm

To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.

The formula for a confidence interval for the population mean (μ) is:

Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))

For the first situation:

n = 15

Confidence level is 95% (which corresponds to an alpha level of 0.05)

x = 35 (sample mean)

s = 2.7 (sample standard deviation)

Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.

The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.

Plugging the values into the formula:

Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))

Calculating the confidence interval:

Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)

Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.

For the second situation:

n = 37

Confidence level is 99% (which corresponds to an alpha level of 0.01)

x = 82 (sample mean)

s = 5.9 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.

The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.

Plugging the values into the formula:

Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))

Calculating the confidence interval:

Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)

Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.

For the third situation:

n = 1009

Confidence level is 90% (which corresponds to an alpha level of 0.10)

x = 0.9 (sample mean)

s = 0.04 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.

The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.

Plugging the values into the formula:

Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))

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Answer:

a) The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.

b) 0.05 = 5% probability that he has four goals and two assists in one game

Step-by-step explanation:

In hockey, a point is counted for each goal or assist of the player.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given interval. The standard deviation is the square root of the mean.

(a) Find the mean and standard deviation for the total revenue he earns per game.

60% of six are goals, which means that 60% of the time he earned 3K.

40% of six are goals, which means that 40% of the time he earned 1K.

The mean is:

\(\mu = 6*0.6*3 + 6*0.4*1 = 13.2\)

The standard deviation is:

\(\sigma = \sqrt{\mu} = \sqrt{13.2} = 3.63\)

The mean for the total revenue he earns per game is of 13.2K while the standard deviation is of 3.63K.

(b) What is the probability that he has four goals and two assists in one game

Goals and assists are independent of each other, which means that we find the probability P(A) of scoring four goals, the probability P(B) of getting two assists, and multiply them.

Probability of four goals:

60% of 6 are goals, which means that:

\(\mu = 6*0.6 = 3.6\)

The probability of scoring four goals is:

\(P(A) = P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.19122\)

Probability of two assists:

40% of 2 are assists, which means that:

\(\mu = 6*0.4 = 2.4\)

The probability of getting two assists is:

\(P(B) = P(X = 2) = \frac{e^{-2.4}*(2.4)^{2}}{(2)!} = 0.26127\)

Probability of four goals and two assists:

\(P(A \cap B) = P(A)*P(B) = 0.19122*0.26127 = 0.05\)

0.05 = 5% probability that he has four goals and two assists in one game

The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.

From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:

= 2125 + (49.99 × x)

= 2125 + 49.99x

The equation that can be used to represent the information about Richie company will be:

= (39.95 × x)

= 39.95x

Therefore, we will equate both equations:

2125 + 49.99x = 39.95x

49.99x - 39.95x =2125

10.04x = 2125

x = 212

Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.

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Answer:

Step-by-step explanation:

[-5/13] 3/5 +12+13 [-4/5 = - 63/65

Answer:

Step-by-step explanation:

follow the Pemdas order of operations

add and subtract (left to right)

apply the rule +(-a)=-a

+(-78)=-78

=54-78-(-39)

54-78=-24

=-24-(-39)

apply the rule -(-a)=+a

-(-39) =+39

=-24 +39

-24+39=15

=15