Maya measured 10 pieces of string and put her results in a table. If Maya made a line plot from the table, which two lengths would have the same number of dots?

Step-by-step explanation:

The constant in an expression is the number without any letters attached to it.

Looks like B and E are the only ones with constant. The other 3 only have numbers attached to numbers

Answer:

47

Step-by-step explanation:

8×3+23

24+23

47

is the answer

Answer:

g(x) = (x+5)²

that's the answer

The only statement that must be based on the quadrilateral properties is; Option B: Base angles of quadrilateral Z are congruent

Some of the properties of a quadrilateral are;

1) They have four vertices.

2) They have four sides.

3) The sum of all interior angles is 360°.

4) They have two diagonals.

5) A quadrilateral can be regular or irregular.

Now, from the description of Quadrilaterals T and Z, we can say that;

- The base angles of quadrilateral T are not congruent since at least one pair of parallel side is congruent.

- Base angles of quadrilateral z are congruent since opposite sides are congruent.

- Consecutive angles of quadrilateral Z are not congruent

- Opposite angles of quadrilateral T are not supplementary.

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Answer:

sandra had 19 apples left

Step-by-step explanation:

17+7=24

that means that sandra had 27 apples because she had 3 more apples

27-8=19

The two numbers whose sum is 52 and the product is maximum are 26 and 26.

Finding the least common multiples of the denominator expressions can help. Then using the similar method as we use in the sum of fractions would give the sum of algebraic fractions.

We need to find the two numbers whose sum is 52 and the product is maximum.

So, the multiples of 52 are

2, 26, 4, 13,

So, here we can see that the sum of 26 to itself would be equal to 52.

26 + 26 = 52

The product is also maximum compared to others.

26 x 26 = 676

Therefore, the two numbers are 26 and 26.

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Answer:

At first, we divide the parallelogram into two triangles by joining any two opposite vertices. These two triangles are exactly the same (congruent) and thus have equal areas. The area of the parallelogram is the summation of the individual areas of the two triangles. We drop a perpendicular from a vertex to its opposite side to get an expression for the height of the triangles. The area of the individual triangle is 12×base×height12×base×height .The area of the parallelogram being twice the area of the triangle, thus becomes after evaluation base×heightbase×height .

Complete step by step answer:

The parallelogram can be divided into two triangles by constructing a diagonal by joining any two opposite vertices.





In the above figure, ΔABDΔABD and ΔBCDΔBCDare the two such triangles. These two triangles have:

AB=CDAB=CD (as opposite sides of a parallelogram are equal)

AD=BCAD=BC (opposite sides of a parallelogram are equal)

BDBD is common

Thus, the two triangles are congruent to each other by SSS axiom of congruence. Since, the areas of two congruent triangles are equal,

⇒area(ΔABD)=area(ΔBCD)⇒area(ΔABD)=area(ΔBCD)

Now, we need to find the area of ΔABDΔABD . We draw a perpendicular from DD to the side ABAB and name it as DEDE . Thus, ΔABDΔABD is now a triangle with base ABAB and height DEDE .

Then, the area of the ΔABD

The margin of error for the survey, rounded to the nearest tenth, is approximately 4.0% when expressed as a percentage.

To determine the margin of error for a survey at the 95% confidence level, we need to calculate the standard error. The margin of error represents the range within which the true population proportion is likely to fall.

The formula for calculating the standard error is:

Standard Error = sqrt((p * (1 - p)) / n)

where p is the sample proportion and n is the sample size.

In this case, the sample proportion is 64% (or 0.64) since 64% of the 1350 surveyed residents support the plan.

Plugging in the values:

Standard Error = \(\sqrt{(0.64 * (1 - 0.64)) / 1350)}\)

\(= \sqrt{(0.2304 / 1350)} \\= \sqrt{(0.0001707)}\)

≈ 0.0131

Now, to find the margin of error, we multiply the standard error by the appropriate critical value for a 95% confidence level. The critical value corresponds to the z-score, which is approximately 1.96 for a 95% confidence level.

Margin of Error = z * Standard Error

= 1.96 * 0.0131

≈ 0.0257

Finally, to express the margin of error as a percentage, we divide it by the sample proportion and multiply by 100:

Margin of Error as Percentage = (Margin of Error / Sample Proportion) * 100

= (0.0257 / 0.64) * 100

≈ 4.0%

Therefore, the margin of error for this survey, expressed as a percentage to the nearest tenth, is approximately 4.0%.

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Answer:

74x7=518

so she need 518 cup of sugars

Answer:

40 I think, if I wrong sorry

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

No, the function y=2sin(2x) is not a solution of the differential equation y'''-8y=0.

To determine whether a function is a solution to the differential equation, we have to first find the derivatives of the function. The derivatives of y=2sin(2x) are y'=4cos(2x), y''=-8sin(2x) and y'''= -16cos(2x).

Next, we have to substitute the derivatives of the given function into the differential equation. When we substitute the derivatives of y=2sin(2x) into the differential equation, we get -16cos(2x) - 8×2sin(2x) = 0. This is not equal to 0, so y=2sin(2x) is not a solution to the differential equation y'''-8y=0.

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Answer:

The point estimate of the difference between two proportions is 0.09, and the sampling error is 0.03. To determine the confidence interval, we need to use the formula:

point estimate ± (critical value) × (standard error)

Since the confidence level is 95%, the critical value is 1.96 (using a standard normal distribution table). The standard error can be calculated using the formula:

√[(p1(1-p1)/n1) + (p2(1-p2)/n2)]

where p1 and p2 are the sample proportions and n1 and n2 are the sample sizes. Since the sample sizes are not given, we cannot calculate the standard error. Therefore, the answer is:

C. Cannot determine. Not enough information.

give thanks, your welcome <3

Step-by-step explanation:

Answer: (0.03, 0.15)

Step-by-step explanation:

The cost of resurfacing her driveway will be $384.00.

A square is a quadrilateral having all equal sides and the sum of the for angles is equal to 360. the lines of the square are perpendicular to each other.

It is given in the question that:-

The total area of the squares will be:-

A    =    Side² x 48  =   10²   x   48    =   4800  square feet

The total cost will be:-

Cost  =  4800   x    0.08   =   $384.00

Hence the cost of resurfacing her driveway will be $384.00.

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The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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Answer:

y = - 2x + 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = - 2 , then

y = - 2x + c ← is the partial equation

to find c substitute (- 3, 8 ) into the partial equation

8 = - 2(- 3) + c = 6 + c ( subtract 6 from both sides )

2 = c

y = - 2x + 2 ← equation of line

Answer:

above sea level

Step-by-step explanation:

Based on the information, we do not have sufficient evidence to support thie claim that mean commute time of all uwt students be 27 minutes

Based on the given information, we have a 95% confidence interval for the mean commute time of UWT students as (29.5, 41.5). This means that we are 95% confident that the true mean commute time of all UWT students falls within this interval.

Since the confidence interval does not include the value of 27 minutes, we cannot conclude with 95% confidence that the mean commute time of all UWT students is 27 minutes.

It is possible that the true mean is 27 minutes, but based on the sample data and the constructed confidence interval, we do not have sufficient evidence to support this claim at a 95% confidence level.

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Answer:

\(a = \frac{2(vt-d)}{t^{2} }\)

Step-by-step explanation:

Given the formula for calculating the displacement of a body as shown below;

\(d = vt - \frac{1}{2} at^{2}\)

d = displacement

v = final velocity

a = acceleration

t = time

To make the acceleration a the subject of the formula, the followin steps must be taken;

Step 1: Subtract vt from both sides of the equation

\(d-vt = vt-vt-\frac{1}{2}at^{2} \\ d-vt = -\frac{1}{2}at^{2}\\2(d-vt) = -at^{2}\)

Step 2: Divide both sides by t²

\(\frac{2(d-vt)}{t^{2} } = \frac{-at^{2} }{t^{2} } \\a = \frac{-2(d-vt)}{t^{2} }\)

\(a = \frac{2(vt-d)}{t^{2} }\)

The number of units x that produces a maximum revenue with the expression given is x = 0.

To find the value of x that maximizes the revenue function R, we can take the derivative of R with respect to x and set it equal to 0. This will give us the critical point of the function.

The derivative of the function R with respect to x is:

R'(x) = 342x - 0.18x²

Setting this equal to 0, we get:

342x - 0.18x² = 0

Solving for x, we find that x = 0 or x = 1900.

However, we need to consider the constraints of the problem to determine which value of x is the optimal solution. If x is a number of units, then x cannot be negative. Therefore, the only valid solution is x = 0.

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Answer:

x = 7

Step-by-step explanation:

We can find our answer by getting x alone.

1/7 * x = 1

Multiply 1/7 to x.

x/7 = 1

Multiply 7 to both sides to isolate x.

x = 7

Answer:

25

Step-by-step explanation:

Answer:

-1,-1       -4,0       -4,-4

Step-by-step explanation:

Using the formula they gave us:

Cost of shipping = 2.79 + 0.38(8)

Cost of shipping = 2.79 + 3.04

Cost of shipping = 5.83(currency unit)

Step-by-step explanation:

width= x (let)

length= x+5

Area=50 cm

Now ,

area = l ×b

50 = (X×X+5)

50 = (2X + 5)

50÷ 2= X+5

25 -5 = X

X=20

LENGTH = X+5

20+5

=25

The possible values of angle ∠G are 58.5° or 121.5°.

As per data,

In ΔEFG, g = 6.1 cm, f = 7.3 cm and ∠F = 69°.

We have to find all possible values of ∠G, to the nearest 10th of a degree.

To find ∠G, we have to use the sine law.

Sine Law states that

a/sinA = b/sinB = c/sinC

Where a, b, and c are the lengths of the sides opposite to the angles A, B, and C respectively.

Now, as per the sine law, we have

a/sinA = b/sinB = c/sinC

f/sinF = g/sinG

We are given, f = 7.3 cm, sinF = sin 69°, and g = 6.1 cm.

Substituting the given values in the above equation, we have

7.3/sin69° = 6.1/sin G

Simplify values,

sin G = (6.1 × sin69°) / 7.3

We know, 0 < G < 180°        

∴ the possible values of

∠G = sin⁻¹ ((6.1 × sin69°) / 7.3)

Thus, we get the possible values of ∠G to the nearest 10th of a degree as follows:

∠G ≈ 58.5° or 121.5°

Hence, the possible values of ∠G are 58.5° or 121.5°.

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Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.

What is problem-solving?

Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.

Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.

Below are the steps in problem-solving:

Step 1: Define the Problem

Step 2: Identify the Root Cause of the Problem

Step 3: Develop Alternative Solutions

Step 4: Evaluate and Choose Solutions

Step 5: Implement the Chosen Solution

Step 6: Monitor Progress and Follow-up on the Solution.

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