What is the quotient of 7/8 divided by 2/5?

9/13
7/20
35/16
51/40

Answer:

  27

Step-by-step explanation:

Let a represent Amanda's age. Then Jordan's age is 2a+5, and the combined ages are ...

  a +(2a+5) = 38

  3a = 33

  a = 11

So, Jordan's age is ...

  2(11) +5 = 27

If Argyle says that she has collected data that only tell her whether the cases are the same or different, one can accurately say that she has collected data on the nominal level.

The nominal level of measurement is the least strict type of data measurement in which the measurements or observations are grouped into distinct categories without a specific order or value structure. At this stage of measurement, variables are defined as categorical because the groups and categories can only be counted, which is usually done using frequencies and proportions.

The nominal level of measurement can take the form of either binary or multichotomous. Binary variables have only two groups, while multichotomous variables have more than two groups. Variables that are frequently used in this level of measurement include gender, race, or political affiliations.

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Answer:

Step-by-step explanation:

perimeter P= 2L+2W

360=2(L+W) divide by 2

180=L+W

we know the L=100

180=100+W

W=80

To determine the probability that the specification for the clearance is met, we need to assume that the clearance follows a normal distribution. We can then use the standard normal distribution to calculate the probability that a clearance falls within the given specification range.

Assuming a normal distribution, we can use the formula for the standard normal distribution to calculate the probability that a clearance falls within the range of 0.015 to 0.063 mm:

z = (x - μ) / σ

where z is the z-score, x is the value we want to find the probability for, μ is the mean of the distribution (which we assume to be the midpoint of the specification range, i.e., (0.015 + 0.063) / 2 = 0.039 mm), and σ is the standard deviation of the distribution (which we assume to be (0.063 - 0.015) / 6 = 0.008 mm).

Using these values, we can calculate the z-scores for the lower and upper limits of the specification range:

z1 = (0.015 - 0.039) / 0.008 = -3

z2 = (0.063 - 0.039) / 0.008 = +3

We can then look up the area under the standard normal distribution curve between these two z-scores using a standard normal distribution table or a statistical software program. This area represents the probability that a clearance falls within the specification range. The area is approximately 0.9973, or 99.73%.

Therefore, we can say that there is a 99.73% probability that the specification for the clearance is met.

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Answer:

To find the area of the stained glass window, we need to calculate the area of the rectangle and the two semicircles and then add them together.

The area of the rectangle is length × width = 16 in × 9 in = 144 in².

The diameter of each semicircle is 4 in, so the radius is 2 in. The area of a circle is πr², so the area of each semicircle is (π × (2 in)²) ÷ 2 = 6.28 in².

Since there are two semicircles, their total area is 6.28 in² × 2 = 12.56 in².

Adding the areas of the rectangle and the semicircles gives us the total area of the window: 144 in² + 12.56 in² = 156.56 in².

Rounded to the nearest tenth, the area of the window is 156.6 in².

Step-by-step explanation:

Answer:

Three consecutive multiples are 110,121 and 132 which has the sum of 363. 33C = 363; C = 33, By substituting C = 33 in numbers 11C, 11(C – 1) and 11(C + 1) we get values 110, 121, 132.

Answer:

The value of x is 16

Step-by-step explanation:

x=16

The correct answers are: Grams of iron in a meal, Minutes spent on this test, Snacks eaten in a week

Parametric statistics could be used to analyze the following dependent variables:

Grams of iron in a meal: Parametric statistics can be used to analyze continuous numerical variables, such as the amount of iron in a meal, by assuming a specific distribution (e.g., normal distribution) and using techniques like t-tests, ANOVA, or regression.

Minutes spent on this test: Similarly, parametric statistics can be applied to analyze continuous numerical variables like the time spent on a test. Techniques such as t-tests or regression can be used to compare groups or explore relationships between variables.

Snacks eaten in a week: Parametric statistics can also be used for analyzing count data, such as the number of snacks eaten in a week. Techniques like Poisson regression or negative binomial regression can be used to model and analyze count data.

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Answer:

x<-1

Step-by-step explanation:

-5(x-1)>10, distribute the -5

-5x+5>10, subtract 5 from both sides

-5x>5, divide by -5

x<-1

(When you divide an inequality by a negative, the sign flips)

Answer:

-10x+30

Step-by-step explanation:

just got it right on edg 2021 :)

None of these are correct

The area of the rug is square feet (B) 48 feet².

To find the area of the rug in square feet:

Therefore, the area of the rug is square feet (B) 48 feet².

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The expression is simplified to 6√5 - 4√7

From the information given, we have that;

\(3\sqrt{5} - 2\sqrt{7} + \sqrt{45} - \sqrt{28}\)

Let's find the surd forms with perfect squares and add into the formula

3√5 - 2√7 + √9 ×5 - √7× 4

Find the perfect squares of the expression

3√5 -  2√7 + 3√5 - 2√7

collect like terms

3√5 + 3√5 - 2√7 -  2√7

Add like terms

6√5 - 4√7

Thus, the expression is simplified to 6√5 - 4√7

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The two true statements are: b.) The value for the degrees of freedom for Mary's sample population is six, and e.) Mary would use the sample standard deviation to calculate a t-statistic.

a.) The t-distribution that Mary uses does not have skinnier tails than a standard distribution. In fact, the t-distribution has fatter tails, which accounts for the increased variability when working with small sample sizes.

b.) The degrees of freedom for Mary's sample population can be calculated as the number of subjects minus one, which in this case is 7 - 1 = 6. So statement b is true.

c.) The t-distribution that Mary uses is not taller than a standard distribution. The shape of the t-distribution is similar to the standard normal distribution, but it is slightly flatter.

d.) Mary would not use the population standard deviation to calculate a t-distribution. Instead, she would use the sample standard deviation, which provides an estimate of the population standard deviation.

e.) Mary would use the sample standard deviation to calculate a t-statistic. The t-statistic measures the difference between the sample mean and the hypothesized population mean, relative to the variability in the sample.

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Answer:

Step-by-step explanation:

Sum of exterior angles of any polygon =360°

Sum of exterior angles of polygon = 360°

m + 5  + 2m + 3 + 3m + 2 + 4m + 1 + 5m + 4 = 360

m + 2m + 3m + 4m + 5m + 5 + 3 + 2 + 1 + 4  = 360  {Combine like terms}

15m + 15 = 360 {Subtract 15 from both sides}

        15m = 360 - 15

        15m = 345 {Divide both sides by 15}

           m = 345/15

m = 23

m + 5 = 23 + 5 = 28°

2m + 3 = 2*23 + 3 = 46 + 3 = 49°

3m + 2 = 3*23 + 2 = 69 + 2 = 71°

4m + 1 = 4*23 + 1 = 92 + 1 = 93°

5m + 4 = 5*23 + 4 = 115 + 4 = 119°

Answer:

see explanation

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Sum the angles and equate to 360

m + 5 + 2m + 3 + 3m + 2 + 4m + 1 + 5m + 4 = 360, that is

15m + 15 = 360 ( subtract 15 from both sides )

15m = 345 ( divide both sides by 15 )

m = 23

Then

m + 5 = 23 + 5 = 28°

2m + 3 = 2(23) + 3 = 46 + 3 = 49°

3m + 2 = 3(23) + 2 = 69 + 2 = 71°

4m + 1 = 4(23) + 1 = 92 + 1 = 93°

5m + 4 = 5(23) + 4 = 115 + 4 = 119°

Jane travels 8 miles much farther than her trainer. The solution is obtained using arithmetic operations.

What are arithmetic operations?

By combining operands with one arithmetic operator, an arithmetic operation is given. The built-in functions add, subtract, divide, and multiply additionally allow for the specification of arithmetic operations.

3. Using pythagoras theorem, we get the equation as D² = 12² + 16².

⇒D² = 144 + 256

⇒D² = 400

⇒D = √400

⇒D = 20

4. Jane has traveled 28 miles in total whereas her trainer has traveled 20 miles.

So, the difference is 28-20= 8 miles

Hence, Jane travels 8 miles much farther than her trainer.

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Answer:

A.  293 dolls each

B.  710 beads

C.  (n+n)/3 >2xy

Step-by-step explanation:

1.  Let A be the number of dolls collected by Gelyn and B the number collected by Geraldine.  

At the start:

 A = 1,178, and

 B = 588

Girlie gets the same number of dolls from both, which we'll say is x.  The situation is then:

Gelyn:  A - x

Geraldine = B - x

Girlie = 2x

After the transfer, we find that A-x = 3(B-x)  [Gelyn had 3 times as many dolls left as Geraldine]

Lets rearrange this last expression:

A-x = 3(B-x)

A-x = 3B-3x

2x=3B-A

Use the values of A and B to find x:

2x=3(588)-(1,178)

2x = 586

x =  293

Gelyn  and Geraldine each gave Girlie 293 dolls.

========

2.  Let A, B, and C stand for the number of beads in Boxes A, B, and C, respectively.  We are told that:

 A + B + C = 4342 [Box A, Box B, and Box C contain 4,342 beads altogether]

and learn that:  

A+18 = B, and  [There are 18 more beads in Box B than Box A]

C = 3B              [There are 3 times as many beads in Box C as in Box B]

How many beads in Box A?

We have three equations.  Lets find a way to substitute so that we can eliminate the unknowns B and C.

Look at:   A + B + C = 4342

If we can rearrange the other equations to express the variables B and C in terms of A, we could solve the problem.

A+18 = B becomes B=A+18  [We can now calculate B from A]

The second, C = 3B, does not have A, but we can use the above expression for B, which will allow C to be expressed as a function of A:

C = 3B

C = 3(A+18)

C = 3A + 64   [We can now calculate C from A]

Use these definitions of B and C in the first equation (substitution):

A + B + C = 4342

A + (A+18) + (3A + 64) = 4342

6A + 82 = 4342

6A = 4260

A = 710   Box A has 710 beads

3.  The sum of x and n divided by 3 more than twice the product of x times y

          (n+n)/3        [The sum of x and n divided by 3]

         >2xy            [more than twice the product of x times y]

Put these together:

    (n+n)/3 >2xy

Answer:

the answer is B

\(3( \frac{7}{5} x + 4) - 2( \frac{ 3}{2} - \frac{5}{4} x)\)

\((3 \times \frac{7}{5} x) + (3 \times 4) - 2( \frac{3}{2} - \frac{5}{4} x)\)

\( \frac{21}{5} x + 12 - 2( \frac{3}{2} - \frac{5}{4} x)\)

\( \frac{21}{5} x + 12 + ( - 2 \times \frac{3}{2} ) + ( - 2 \times ( - \frac{5}{4} x))\)

\( \frac{21}{5} x + 12 - 3 + \frac{5}{2} x\)

\( \frac{21}{5}x + \frac{5}{2} x + 12 - 3\)

\( \frac{67}{10}x - 9 \)

Answer:

B

Step-by-step explanation:

edge 2021

Answer:

b

Step-by-step explanation:

A scatter plot in Excel is the type of chart that can plot a point at its Cartesian coordinates using an x-coordinate and a y-coordinate.

The type of chart in Excel that plots a point at its Cartesian coordinates using an x-coordinate and a y-coordinate is a Scatter Plot. A scatter plot is a type of graph in which individual data points are represented by dots on a graph. Each data point has two coordinates: the x-coordinate and the y-coordinate, which are used to plot the point on the graph.

In Excel, to create a scatter plot, you need to first select your data, then go to the Insert tab and click on the Scatter chart button. You can then choose the type of scatter plot you want to create. Once the chart is created, you can add data labels to show the x-coordinate and y-coordinate of each data point.

In summary, a scatter plot in Excel is the type of chart that can plot a point at its Cartesian coordinates using an x-coordinate and a y-coordinate.

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Answer:

\(t = \frac{2-3q}{q+4}\)

Step-by-step explanation:

\(q = \frac{2-4t}{t+3}\\\\\)

Cross multiply,

q(t+3) = 2 - 4t        

Use distributive property: a*(b + c) =(a*b) + (a*c)

qt + 3q = 2- 4t

qt + 4t + 3q = 2

  qt + 4t     = 2 - 3q

    t(q + 4)  = 2 -3q

               \(t = \frac{2-3q}{q+4}\)

Answer:

0.125

Step-by-step explanation:

Becuase math

We can represent the number of apples purchased by Adrian as the variable "a" and the number of mangos purchased by Adrian as the variable "m". The total cost of apples can be represented as $2.25 * a, and the total cost of mangos can be represented as $2 * m. The inequality that represents the possible values for the number of apples and mangos that Adrian can purchase is $2.25 * a + 2 * m <= 25.

The expanded form of the expression is ln(a²b⁵) - ln(c⁷).

To expand the expression 2ln(a) + 5ln(b) - 7ln(c), we can use the properties of logarithms. The property we'll use is the logarithm of a product, which states that ln(ab) = ln(a) + ln(b). Applying this property, we can rewrite the expression as:

2ln(a) + 5ln(b) - 7ln(c) = ln(a²) + ln(b⁵) - ln(c⁷)

Next, we can use another property of logarithms, the logarithm of a quotient, which states that ln(a/b) = ln(a) - ln(b). Using this property, we can further simplify the expression:

ln(a²) + ln(b⁵) - ln(c⁷) = ln(a²b⁵) - ln(c⁷)

Therefore, the expanded form of the expression is ln(a²b⁵) - ln(c⁷).

To expand the expression log₂(x¹y³√2), we can use the properties of logarithms. The first expression we'll use is the power rule, which states that logₐ(b^c) = clogₐ(b). Applying this property, we can rewrite the expression as:

log₂(x¹y³√2) = 1log₂(x) + 3log₂(y) + 1/2log₂(2)

Simplifying further, we have:

log₂(x) + 3log₂(y) + 1/2(1)

Therefore, the expanded form of the expression is log₂(x) + 3log₂(y) + 1/2

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Answer:

y-8=-7/5(x-5)

Step-by-step explanation:

find the slope by rewriting the line's equation.

5y=3-7x

5y=-7x+3

y=-7/5x +3/5

since its parallel, the slope will be the same (-7/5)

use the formula y-y1=m(x-x1) for the point (5,8)

y-8=-7/5(x-5)

rearrange in the form y=mx+b if you wish.

Answer:

yes

Step-by-step explanation:

6^2+8^2=10^2

following the pythagoras theorem this triangle is right triangle

Answer: Thank you for the points & B

Step-by-step explanation: Hope this help :D

Answer:

rectangular prism

Step-by-step explanation:

Answer:

rectangular prism

Step-by-step explanation:

a. |BA|: The determinant of the matrix product BA is -10  .
b. |B¹|: The determinant of the inverse of matrix B is 1/5 .
c. |24|: The determinant of the scalar matrix 24 is 13824 .
d. |(AB)¹|: The determinant of the inverse of the matrix product AB is 1/|AB|.
e. |B⁻¹|: The determinant of the inverse of matrix B is 1/|B|.

In the second paragraph, we'll provide an explanation for calculating each determinant:

a. To find |BA|, we can use the property |BA| = |B| * |A|. Substituting the given determinants, we have |BA| = 5 * (-2) = -10.

b. The determinant |B¹| is equal to the reciprocal of the determinant of B, so |B¹| = 1/|B| = 1/5.

c. The determinant of a scalar matrix, such as 24, is simply the scalar raised to the power of the matrix's order. In this case, |24| = 24³ = 13824.

d. |(AB)¹| is equal to the reciprocal of the determinant of AB. Therefore, |(AB)¹| = 1/|AB|.

e. Similarly, |B⁻¹| is equal to the reciprocal of the determinant of B⁻¹. Hence, |B⁻¹| = 1/|B|.

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The given statement is 1. Always true

2. Always true

3. Always true

4. Sometimes true

5. Never true

Statement 1: A line and a point are always coplanar.

Answer: Always true.

Reason: This statement is always true because a line and a point can always be found on the same plane. In Euclidean geometry, a plane is a flat surface that extends infinitely in all directions, and any two points on the plane can be connected by a straight line. Therefore, a line and a point will always lie on the same plane.

Statement 2: Congruent angles form vertical angles.

Answer: Always true.

Reason: Vertical angles are formed by the intersection of two lines. When two angles are congruent, it means they have the same measure. If two angles have the same measure and are formed by the intersection of two lines, then they are vertical angles. Therefore, congruent angles always form vertical angles.

Statement 3: Linear pairs that are congruent are right angles.

Answer: Always true.

Reason: A linear pair consists of two adjacent angles that share a common side and form a straight line. If the two angles of a linear pair are congruent, it means they have the same measure. In Euclidean geometry, a straight angle measures 180 degrees. If two angles in a linear pair are congruent and their measures add up to 180 degrees, then each angle must measure 90 degrees, which is the measure of a right angle. Therefore, linear pairs that are congruent are always right angles.

Statement 4: The sum of angles that form a linear pair is less than 180 degrees.

Answer: Sometimes true.

Reason: The sum of angles that form a linear pair is always equal to 180 degrees, not less than 180 degrees. This is based on the definition of a linear pair, which states that the two angles in a linear pair are supplementary, meaning their measures add up to 180 degrees. However, if the statement said "less than or equal to 180 degrees," then it would be always true.

Statement 5: Vertical angles are complementary.

Answer: Never true.

Reason: Vertical angles are not complementary. Complementary angles are two angles that add up to 90 degrees. Vertical angles, on the other hand, are a pair of non-adjacent angles formed by the intersection of two lines. They do not necessarily have any specific relationship to each other in terms of their angle measures. Therefore, vertical angles are not complementary by definition.

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The truth of each statement depends on the properties of angles and theorems that support them. A line and a point are always coplanar, congruent angles can sometimes form vertical angles, congruent linear pairs are not always right angles, the sum of angles that form a linear pair is always 180 degrees, and vertical angles are never complementary.

To determine the truth of each statement, we need to consider the properties of angles and theorems that support them.

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Answer:

She has 9 left

Step-by-step explanation:

15 - 6 = 9

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