A package of 6 pairs of insulated gloves costs $34.14 What is the unit price of the pairs of gloves?
The unit price is $____per pair of gloves.

Answer:

Step-by-step explanation:

Let weight of fourth parcel be x

Mean = Sum of all values/total number of values.

8.5 = 7.7 + 7.6 + 8.2 + x/4

8.5 = 23.5 + x/4

8.5 × 4 = 23.5 + x

34 = 23.5 + x

34 - 23.5 = x

10.5 = x

Therefore, weight of the fourth parcel will be 10.5 kg

The Separation Schema is a rule in set theory that allows us to construct a new set from an existing set based on a given property.

For example, if a set of all natural numbers, use the Separation Schema to construct a new set of all even natural numbers. The new set will contain all of the elements of the original set that satisfy the given property, in this case, the property of being even.

The property x ∉ x states that x is not a member of x. If we apply the Separation Schema to this property, we will construct a new set that contains all of the sets that are not members of themselves. This set is called the Russell set, and it is known to be paradoxical.

The Russell paradox shows that the unrestricted Comprehension Schema is inconsistent. This is because the Russell set is a set that can be constructed using the Comprehension Schema, but the Russell set also satisfies the property that it is not a member of itself. This is a contradiction, and it shows that the Comprehension Schema cannot be used to construct all sets.

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Change the third line only .

Amd at 4th line

\(\\ \tt\Rrightarrow ∆TFS\cong∆PFQ(ASA)\)

Answer:

A and C

Step-by-step explanation:

20) Since the triangles are similar, you can say that 98 corresponds to 42 and 77 corresponds to 3x+6, because of this you can write an equation ((98/77)(3x-6) =42) and then simplify to get x = 13.

21) Since ABC and DFE are similar, we can say that 2x+2 corresponds to x+3 and 24 corresponds to 16. You can write this as the equation (24/2x+2)(x+3) = 16 and simplify to get x=5.

I hope this helps :)

Answer:

There is enough evidence to support the claim of the manufacturers that non-hybrid sedan cars have a lower mean miles-per-gallon (mpg) than hybrid ones.

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that non-hybrid sedan cars have a lower mean miles-per-gallon (mpg) than hybrid ones.

Then, the null and alternative hypothesis are:

\(H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0\)

The significance level is 0.05.

The sample 1 (hybrid), of size n1=21 has a mean of 32 and a standard deviation of 6.

The sample 2 (non-hybrid), of size n2=31 has a mean of 21 and a standard deviation of 3.

The difference between sample means is Md=11.

\(M_d=M_1-M_2=32-21=11\)

The estimated standard error of the difference between means is computed using the formula:

\(s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{6^2}{21}+\dfrac{3^2}{31}}\\\\\\s_{M_d}=\sqrt{1.714+0.29}=\sqrt{2.005}=1.4158\)

Then, we can calculate the t-statistic as:

\(t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{11-0}{1.4158}=\dfrac{11}{1.4158}=7.77\)

The degrees of freedom for this test are:

\(df=n_1+n_2-2=21+31-2=50\)

This test is a right-tailed test, with 50 degrees of freedom and t=7.77, so the P-value for this test is calculated as (using a t-table):

\(\text{P-value}=P(t>7.77)=0.0000000002\)

As the P-value is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that non-hybrid sedan cars have a lower mean miles-per-gallon (mpg) than hybrid ones.

Answer:

x=176

Step-by-step explanation:

In order to find this, you would subtract 17 from 193, which gives you 176 as your answer.

The bell-shaped curve, also known as a Gaussian curve or a symmetrical distribution , showcases a central peak with data symmetrically distributed around it .

Revered for its iconic shape, the bell curve enchants the discerning observer with its symmetrical countenance, reminiscent of a resonant chime.

This majestic distribution unveils its true essence through its discernible apex, a testament to central tendency , where the mean, median, and mode converge, bestowing upon it an air of distinction .

The rough sketch of the curve having the bell shape is shown attached to the question.

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\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Area of the composite figure is 189.25 in². Therefore, the given area A of the figure is Ture.

First, let us find the area of the rectangle.

Area = Length × Width

       = 15 in × 10 in

       = 150 in²

Then let us find the area of the semicircle.

Area = \(\frac{1}{2}\) × π r²

        =  \(\frac{1}{2}\) × 3.14 × 5 × 5

        = 0.5 × 3.14 × 25

        = 1.57 × 25

        = 39.25 in²

Now let us find the total area of the composite figure.

Total area = Area of the rectangle + Area of the semi-circle.

                = 150 in² + 39.25 in²

                = 189.25 in²

Area of the composite figure is 189.25 in². Therefore, the given area A of the figure is Ture.

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If the slope is a negative number for example, y = - x then it would go up one and to the left one because it's a negative number. Negative slopes will always go through the coordinate plant II and IV

Answer:

thx

Step-by-step explanation:

Answer: Let X be the number of tables that ordered chips and salsa. Then, 7X tables did not order chips and salsa. So, X + 7X = 108, which simplifies to 8X = 108. Dividing both sides by 8, we have X = 13.5.

Since X must be a whole number, we round down to get X = 13 tables ordered chips and salsa.

Step-by-step explanation:

Answer:

\(4x^2+4x+5\)

Step-by-step explanation:

\(f(x)=5x^2-3\\g(x)=x^2-4x-8\)

Set up an expression.

\(5x^2-3-(x^2-4x-8)\)

Distribute the negative (-1)

\(5x^2-3-x^2+4x+8\)

Solve / Simplify

\(4x^2+4x+5\)

I'm late, but I hope this helps!

The end behavior of the polynomials are as follows;

(a) y = x³ - 9·x² + 8·x - 14

End behavior; y → ∞ as x → ∞

\({}\)                        y → -∞ as x → -∞

(b) y = -8·x⁴ + 13·x + 800

End behavior; y → -∞ as x → -∞

\({}\)                        y → -∞ as x → ∞

The end behavior of a polynomial is the characteristics of the graph of the polynomial as the input (x-values), tends to plus and minus infinity.

The factors that effect the end behavior of a polynomial are;

The degree of the polynomial, (even or odd)

The sign of the leading coefficient of the polynomial (positive or negative)

The leading coefficient is the coefficient of the term with the highest degree.

(a) The polynomial, function, y = x³ - 9·x² + 8·x  - 14

The specified polynomial is a third degree polynomial, with a positive leading coefficient of 1, the end behavior is therefore;

y tends to positive infinity as x tends to positive infinity

y tends to negative infinity as x tends to negative infinity

End behavior;

y → ∞ as x → ∞

y → -∞ as x → -∞

(b) The polynomial function can be expressed as follows;

y = -8·x⁴ + 13·x + 800

The above polynomial of degree 4 is an even degree polynomial

The leading coefficient of the polynomial is -8, therefore, the leading coefficient is negative

The shape of the graph of the polynomial is therefore ∩ shaped, such that the end behavior is as follows;

y-values approaches negative infinity as x approaches negative infinity

y-values approaches negative infinity as x approaches positive infinity

End behavior;

y → -∞ as x → -∞

y → -∞ as x → ∞

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The standard form of the equation of the parabola is  \(y=-(\frac{x^2-12x+36}{24})\)

The general form of a parabola is  (x-h)=4p(y-k)

Where, (h,k) is vertex, (h,k+p) is the focus, and y=k-p is directrix.

The focus of the parabola is (6,6).

comparing the values with (h,k+p)=(6,6)

h=6

k+p=-6.... (1)

Directrix of the parabola is

k-p=-6.... (2)

On adding (1) and (2) we get

2k=0

k=0

Put this value in equation (1).

0+p=-6

The value of p= -6.

Substituent h=6,k=0, and p=-6 in the general form of a parabola, we get

(x-h)^2=4p(y-k)

(x-6)^2=4(-6)(y-0)

x^2-12x+36=-24y

Divide both sides by 24.

y=(x^2-12x+36/24)

Therefore the standard form of the equation of the parabola is

y=-(x^2-12x+36/24)

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The numbered spot at which all the runners will be next to one another is spot 19.

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Starting with the runner on the outside track, the provided parameters are;

The runner covered n₁ = 5 places on the outside track, which is the number of spaces.

Next, the inner runner will traverse n₂ spaces, which equals one space.

The following inner runner will cover n₃ = 3 spaces.

The subsequent runner will traverse n₄ = 2 spaces.

The Lowest Common Multiple, or LCM, of all the runners' speeds or the total number of spaces they cover in the same amount of time, determines where all the runners will be placed next to one another.

LCM(5, 1, 3, 2) = 30 is the LCM of 5, 1, 3, and 2.

Time = 30/ = 6

Consequently, when the first runner has covered 30 places, we have;

Six time units have been expended.

The runner comes to a stop at position 30- (30 -19) = Position 19.

First runner's new destination is Spot 19.

The distance covered simultaneously by runner 2 is 6 x 1 = 6.

The distance covered by two runners running simultaneously equals six spaces.

Second runner's new position: 6 spaces plus spot 13 equals spot 19.

The combined distance covered by the three runners is 6 x 3 = 18.

The distance runner 3 covers 18 spaces simultaneously.

Third runner's new position: 18 spaces + Spot 1 = 19 spaces

Runner 4 covers a distance of 6 x 2 = 12 at the same time.

Distance runner 4 journeys equals 12 spaces

Runner 4's new position is now 12 spaces Plus Spot 7 = Spot 19.

Therefore, all the runners will be next to one another is spot 19.

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Answer:

The annual interest rate for the given condition is 4%

Step-by-step explanation:

The statistical analysis is created using the chi-squared test. The significance level used is 5% because of the probability to reject the null hypothesis. The given data indicate that there are significant preferences among the four flavors of ice cream.

When the sample sizes are big, the statistical hypothesis test known as the chi-squared test is utilized in the study of contingency tables. This test is primarily used to determine whether two categorical factors have independent effects on the test statistic. We shall use a significance level of α=0.05 in this case.

First, determine the null and alternative hypotheses.

Null hypothesis H₀: There is no preference in choosing ice cream flavors.

Alternate hypothesis H₁: There is a preference in choosing ice cream flavors.

The probability of choosing a particular flavor of ice cream is 1/4. Then, the Ei= (1/4)×80= 20.

Now construct the chi-square table. And find the chi-square value,

\(\begin{aligned}\chi^2&=\sum\frac{(O_i-E_i)^2}{E_i}\\&=3.2+0.2+3.2+0.2\\&=6.8\end{aligned}\)

Find the degree of freedom (df).

df = n-1 = 4-1 = 3.

From the chi-square table, using the chi-square value and df, we get the p-value,

P(χ²＞6.8)= 0.0786

Here, the p-value is greater than 0.05. As a result, the alternative hypothesis is accepted and the null hypothesis is rejected. From this, we can tell that there is a significant preference in choosing the flavors.

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Answer:

The number of checks processed at a bank in a day is categorical data.

Step-by-step explanation:

In Mathematics, a categorical data can be defined as a statistical data type that is used to group informations having the same attributes or characteristics. Some examples of a categorical data are age, gender, race, religion etc.

A numerical data can be defined as a data set that is expressed in numbers only or a data set consisting of numbers rather than words. A numerical data is also known as a quantitative data.

Basically, numerical data are classified into two (2) main categories and these are;

1. Discrete data: a discrete data is a data set in which the number of possible values are either finite or countable. For instance, the value of a fair die, number of sweets in a jar, number of eggs in a crate etc.

2. Continuous data: a continuous data is a data set having infinitely many possible values and those values cannot be counted, meaning they are uncountable. Any quantity such as height, volume, weight, density, length, pressure, temperature, speed, distance, time are generally a continuous data.

Hence, the number of checks processed at a bank in a day is discrete data.

Answer:

D. x = 5; x = -5

Step-by-step explanation:

x^2 - 25 = 0

Add 25 to each side

x^2 - 25+25 = 0+25

x^2 = 25

Take the square root of each side

sqrt(x^2) = sqrt(25)

x = ±5

Answer:

C

Step-by-step explanation:

Because I'm smart.

The 3 sets of data with the same median but different mean are given as follows:

The mean of a data-set is calculated as the sum of all values in the data-set divided by the number of values in the data-set.

The median of a data-set is the middle value of the data-set, the value which 50% of the data-set is less than and 50% of the data-set is more than.

Hence, for a data-set of five elements, which is an odd cardinality, the median is the third element of the ordered data-set.

Then the three data-sets can be constructed with five elements, in which the third element is the same but the sum of the five elements is different.

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Answer:

32 DAT yang tersembunyi do 3 Dan 2 semoga membatu

Answer:

1/216

Step-by-step explanation:

A dice (assuming it is from 1-6) has 6 faces. There are 4 dices.

equation will be

6*6*6=answer

Multiply 6 three times by itself because there are 4 dices. That is because One die would be 1

Two would be 1/6

Three would be 1/36

And four would be the ...

Asnwer=216

Answer:

3769.57

Step-by-step explanation:

the perimeter of semicircle is

P = d + πd/2

251.86 = d + (3.14d/2)

multiply both side with 2

503.72 = 2d + 3.14d

503.72 = 5.14 d

d = 98 miles

d is diameter, then the radius is 98 : 2 = 49

Area of semicircle

A = ½ π r²

A = 0.5 x 3.14 x 49²

A = 3769.57 miles²

Answer: 3769.57 miles²

Step-by-step explanation:

The perimeter of the semi circle is the sum of the curve and the diameter.

Perimeter of curve

\(\dfrac{1}{2}C=\dfrac{1}{2}2\pi r\\\\\\.\quad =\pi r\\\)

Diameter of the semi circle = 2r

\(P = \pi r+2r\\\\\\251.86=r(\pi +2)\\\\\\\dfrac{251.86}{\pi +2}=r\\\\\\\dfrac{251.86}{5.14}=r\\\\\\49=r\)

Area of the curve

\(\dfrac{1}{2}A=\dfrac{1}{2}\pi r^2\\\\\\.\quad =\dfrac{1}{2}(3.14)(49)^2\\\\\\.\quad =\large\boxed{3769.57}\)

Answer: The length of the prism is 8 yards

Step-by-step explanation:

First, take the volume of the prism, divide it by the width (2 1/2). Once you get that divide that answer by height (5 3/4) getting you the length of the prism (8 yards)

Answer:

13 dollars

Step-by-step explanation:

Answer:

the answer is  A. y = 7x -12

Step-by-step explanation:

First subtract 21x from both sides

-3y = -21x + 36

Then divide both sides by -3

y = 7x -12

Answer: 18.18%

Step-by-step explanation:

First, let's calculate the surface area of the original piece of wood. The surface area (SA) of a rectangular prism is given by the formula:

\($$SA = 2lw + 2lh + 2wh$$\)

where \(\(l\)\) is the length, \(\(l\)\) is the width, and \(\(h\)\) is the height. For the original piece of wood, \(\(l = 10\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\).

After the piece of wood is cut in half, the length becomes 5 inches, but the width and height remain the same. So, for each of the two new pieces of wood, \(\(l = 5\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\). The total surface area of the two new pieces of wood is twice the surface area of one of the new pieces.

The percent increase in the total surface area is given by the formula:

\($$\text{Percent Increase} = \frac{\text{New Total SA} - \text{Original SA}}{\text{Original SA}} \times 100\%$$\)

Let's calculate these values.

The percent increase in the total surface area when the piece of wood is cut in half is approximately 18.18%.