the students in mr. juarez's homeroom collected more cans than students in ms. wade's homeroom. write an expression that represents how many more cans were collected.

Answer:

answer is a

Step-by-step explanation:

because u have to add all the side

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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The set that contains ONLY solutions for the inequality 1.2w - 3.4 < 8.6 is the set of all real numbers.

In this inequality, there are no specific limitations or restrictions on the variable w. It is an open-ended inequality with no boundary or range specified. Therefore, any real number value of w that satisfies the inequality will be a valid solution. This means that the set of solutions includes all real numbers.

The set of all real numbers encompasses both positive and negative numbers, fractions, decimals, and irrational numbers. Since there are no constraints or restrictions provided in the inequality, every real number value for w will make the inequality true. Hence, the set of all real numbers is the only set that contains ONLY solutions for the given inequality.

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The chief of security for the Mall of the Dakotas directed a study of theft. He selected a sample of 200 boxes that had been tampered with and ascertained that for 80 of the boxes, the missing pants, shoes, and so on were attributed to shoplifting. For 45 boxes, employees had stolen the goods, and for the remaining 75 boxes, he blamed poor inventory control.

In his report to the mall management, can he say that shoplifting is twice as likely to be the cause of the loss as compared with either employee theft or poor inventory control and that employee theft and poor inventory control are equally likely? Use the 0.10 significance level. H0: The proportions are as stated. H1: The proportions are not as stated. The decision rule using a 0.10 significance level is: Reject H0 if the computed chi-square value is greater than 4.605. Compute the value of chi-square as follows: Observed Frequencies: Shoplifting: 80 Employee theft: 45 Poor inventory control: 75 Total: 200 Expected Frequencies: Shoplifting: (80+45+75) x (80/200) = 80. Employee theft: (80+45+75) x (45/200) = 36. Poor inventory control: (80+45+75) x (75/200) = 84. Total: 200The formula for chi-square is: χ2=∑((Oi−Ei)2/Ei). Using the observed and expected frequencies from above, we get: χ2 = [(80 - 80)²/80] + [(45 - 36)²/36] + [(75 - 84)²/84] = 2.4. The value of chi-square is 2.4, which is less than 4.605. Therefore, we fail to reject H0. Hence, the chief of security for the Mall of the Dakotas cannot say that shoplifting is twice as likely to be the cause of the loss as compared with either employee theft or poor inventory control and that employee theft and poor inventory control are equally likely at a 0.10 significance level.

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Answer:

22 degrees.

Step-by-step explanation:

From the given question we are given the following:

Exterior angle m ∠ J K L = ( 5 x − 3 )°

Interior angles;

m∠KIJ=(2x+8)°

m∠IJK=(x−1)°

Note that the sum of interior angles is equal to the exterior angles;

Hence, m∠KIJ +m∠IJK = m∠JKL

Substitute the given values;

2x+8 + x -1 = 5x - 3

3x + 7 = 5x - 3

Collect like terms;

3x - 5x = -3-7

-2x = -10

x = 10/2

x = 5

Get m∠JKL

m∠JKL = 5x - 3

m∠JKL= 5(5)-3

m∠JKL = 25-3

m∠JKL = 22°

hence the measure of m∠JKL is 22 degrees.

The probability that a 65-year-old man will survive to reach the age of 70 is 88.4%, and also the probability man to survive till his 75th birthday is approx.59.952%.

The probability of a 65-year-old man reaching the age of 70 is the probability of surviving from age 65 to age 70, which is given as

p(70)/p(65) ⇒ 0.657/0.742 ≈ 0.88544 or 88.544%.

The probability of a man who just turned 70 dying within the next 5 years is 0.176.

Therefore, the probability of surviving for the next 5 years after turning 70 is

⇒ 1 - 0.176 ⇒ 0.824.

Thus, the probability of a man surviving till his 75th birthday is the probability of surviving from age 70 to age 75, which is given as

p(75)/p(70) ⇒ 0.657/0.903 × 0.824

≈ 0.59952 or 59.952%.

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In the two functions as the value of V(x) increases, the value of W(x) also increases.

The value of functions, V(x) and W(x) is determined as follows;

for h(-2, 1/4); the value of the functions is calculated as follows;

v(x) = 2ˣ ⁺ ³ = 2⁻²⁺³ = 2¹ = 2

w(x) = 2ˣ ⁻ ³ = 2⁻²⁻³ = 2⁻⁵ = 1/32

for h(-1, 1/2); the value of the functions is calculated as follows;

v(x) = 2ˣ ⁺ ³ = 2² = 4

w(x) = 2ˣ ⁻ ³ = 2⁻⁴ = 1/16

for h(0, 1); the value of the functions is calculated as follows;

v(x) = 2ˣ ⁺ ³ = 2³ = 8

w(x) = 2ˣ ⁻ ³ = 2⁻³ = 1/8

for h(1, 2); the value of the functions is calculated as follows;

v(x) = 2ˣ ⁺ ³ = 2⁴ = 16

w(x) = 2ˣ ⁻ ³ = 2⁻² = 1/4

for h(2, 4); the value of the functions is calculated as follows;

v(x) = 2ˣ ⁺ ³ = 2⁵ = 32

w(x) = 2ˣ ⁻ ³ = 2⁻¹ = 1/2

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Answer:

½, √0.28, 0.58

Step-by-step explanation:

you need to first change everything into decimals so, ½ = 0.5 , √ 0.28 = 0.53 and 0.58 remains the same. Now you can arrange them from least to greatest once they are in a common form.

Answer:

1 / 5^11

Step-by-step explanation:

5^ -6  * 5 ^ -5

We know that a^ b * a^ c = a^( b+c)

5^ ( -5+-5)

5^ -11

We also know that

a^-b = 1/ a^b

1 / 5^11

Answer:

1/5^11

Step-by-step explanation:

5^-6 * 5^-5

5^-6+(-5)

5^-6-5

5^-11

1/5^11

Note : In multiplication if the bases are same then u can add their exponent and when the base have ngative exponent just do it's reciprocal.Then u the base will have positive exponent.

The measure of the angles that is supplementary to the given angles is as follows:

4. 52°

5. 20°

6. 130°

Supplementary angles are those angles that sum up to 180 degrees. In

other words, supplementary angles refer to the pair of angles that always

sum up to 180°. Therefore, let's find the measure of the angles that are

supplementary angles to the following angles.

Therefore,

4.

180 - 128 = 52 degrees

5.

180 - 160 = 20 degrees

6.

180 - 50 = 130 degrees

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Answer:

do you know the answer

The value of x is 4.8.

Given that,

Based on the above information, the calculation is as follows:

Angle 1 = ANgle 2

17x - 30 = 7x + 18

17x - 7x = 18 + 30

10x = 48

x = 4.8

Therefore we can conclude that the value of x is 4.8.

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I think its c i don't know

maybe it will help :>

Answer:

y - (-2) = 3(x - 1)

y = 3x - 5

Step-by-step explanation:

Parallel lines have the same slope.

\(y_{1} = -2\\x_{1} = 1\\m = 3\)

y - (-2) = 3(x - 1)

y + 2 = 3x - 3

y = 3x - 5

Check that y = 3x - 5 includes the point (1, -2):

-2 = 3(1) - 5

-2 = 3 - 5

-2 = -2

Answer:

700

Step-by-step explanation:

Let a = number of adults.

Let c = number of children.

a + c = 2200

4a + 1.5c = 5050

Solve the first equation for c:

c = 2200 - a

Substitute 2200 - a for c in the second equation.

4a + 1.5(2200 - a) = 5050

4a + 3300 - 1.5a = 5050

2.5a = 1750

a = 700

Answer: 700 adults

3birds would have=2(3)=6legs

Cats have:-

Each cat has 4legs.

Total cats:-

\(\\ \sf\longmapsto \dfrac{24}{4}=6cats\)

Answer:

(1, 6.71)

Step-by-step explanation:

I'm assuming that you need to solve this by substitution or elimination since you didn't include any context in your question, just the equations.

To solve this by elimination, first, decide on a variable you want to get rid of / cancel out. I chose y. To do this, you need to find the least common multiple (LCM) of 7 and 5, which is 35. Now, multiply the top equation, 21x + 7y = 42, by -5. Multiply the bottom equation, -5x + 5y = 10, by 7. Make sure when you multiply that you either make the 5 or the 7 negative so you can cancel out y. I chose to make 5 negative.

After you multiply by the -5 and the 7, rewrite your new equations:

-105x - 35y = -210

-35x + 35y = 70

Now, add the two equations together. When you do this, the y's cancel out and you're left with -140x = -140. Now, divide both sides by -140, and you're left with x = 1. Plug the value of x into one of your original equations. I chose the bottom equation, -5x + 5y = 10.

-5(1) + 7y = 42   ----->   -5 + 7y = 42.

Add -5 to both sides, which gives you 7y = 47. Divide both sides by 7, which gives you y = 6.71.

The last step is to put the values of x and y into a point: (1, 6.71).

Hope this helps!

The probability that a srs of 20 students will spend an average of between 600 and 700 dollars is 0.92081.

We need to find the probability that a simple random sample of 20 students will spend an average of between 600 and 700 dollars.

To solve this problem, we will use the central limit theorem, which states that the sampling distribution of the sample means will be approximately normally distributed with a mean of μ and a standard deviation of σ/√(n), where n is the sample size.

Thus, the mean of the sampling distribution is μ = 650 and the standard deviation is σ/sqrt(n) = 120/√(20) = 26.83.

We need to find the probability that the sample mean falls between 600 and 700 dollars. Let x be the sample mean. Then:

Z1 = (600 - μ) / (σ / √(n)) = (600 - 650) / (120 / √t(20)) = -1.77

Z2 = (700 - μ) / (σ / √(n)) = (700 - 650) / (120 / √(20)) = 1.77

Using a standard normal distribution table or calculator, we can find the area under the standard normal distribution curve between these two Z-scores as:

P(-1.77 < Z < 1.77) = 0.9208

Therefore, the probability that a simple random sample of 20 students will spend an average of between 600 and 700 dollars is 0.9208, or approximately 0.92081 when rounded to five decimal places.

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The congruent corresponding parts of triangle PQR and TSR are:

|PQ| and |TS|

|QR| and |SR|

|PR| and |TR|

From the question, we are to determine the congruent corresponding parts in the given triangles.

From the given information,

PQR is congruent to TSR

Congruent triangles are triangles that have exactly the same size and shape.

NOTE: The parts of the two triangles that have the same measurements (congruent) are referred to as corresponding parts.

Thus,

Considering triangles PQR and TSR,

The congruent corresponding parts are:

|PQ| and |TS|

|QR| and |SR|

|PR| and |TR|

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Answer:  g + s = 698

                   3g = s

Step-by-step explanation:

By looking the question, we know that gold tickets and silver tickets add up to 698, so we get:

g + s = 698

And we know that silver tickets is three times of the gold tickets.

3g = s

We combined them together, we get :

g + s = 698

3g = s

The equation 3x₁ + 5x₂ = 30 intersects the x₁-axis at point D (10, 0) and the x₂-axis at point C (0, 6). Option B (0, 8) is not an intercept on the x₂-axis. Option C (6, 10) is not an intercept on the x₁-axis. The correct answer is option D (10, 0) as the x₁-axis intercept.

The equation given is 3x₁ + 5x₂ = 30. To find the axis intercept, we need to determine the points at which the line intersects the x₁ and x₂ axes. To find the x₁-axis intercept, we set x₂ = 0 and solve for x₁ 3x₁ + 5(0) = 30 3x₁ = 30
x₁ = 10

So, the x₁-axis intercept is (10, 0) which corresponds to point D in the given options. To find the x₂-axis intercept, we set x₁ = 0 and solve for x₂: 3(0) + 5x₂ = 30 5x₂ = 30 x₂ = 6 Therefore, the x₂-axis intercept is (0, 6) which corresponds to point C in the given options. To summarize, the equation 3x₁ + 5x₂ = 30 intersects the x₁-axis at point D (10, 0) and the x₂-axis at point C (0, 6).

In the given options, option A (10, 6) is not an intercept on either axis. Option B (0, 8) is not an intercept on the x₂-axis. Option C (6, 10) is not an intercept on the x₁-axis. The correct answer is option D (10, 0) as the x₁-axis intercept.

Remember, the x₁-axis intercept is found by setting x₂ = 0, and the x₂-axis intercept is found by setting x₁ = 0 in the equation.The correct answer is option D

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Answer:

52 pounds

Step-by-step explanation:

Given that Hillard Manufacturing issued bonds with a 10-year maturity, a $1,000 par value, a 10% coupon rate, and semiannual interest payments.

To calculate the price at which the bonds would sell after two years, we need to determine the present value of the future cash flows generated by the bonds. The cash flows consist of the coupon payments and the par value received at maturity. First, we calculate the present value of the coupon payments.

The bonds have a 10% coupon rate, which is paid semiannually. As the bonds have a 10-year maturity, there will be 20 coupon payments (2 payments per year for 10 years). The present value of these coupon payments is calculated using the discounted cash flow formula. Next, we calculate the present value of the par value received at maturity. The par value is $1,000, which will be received in 10 years. We discount this future value to its present value.

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The exponential growth model is given by the formula:-

P(t) = Pe(r*t)

where P₀ is the initial population, r is the annual growth rate expressed as a decimal, t is the time in years, and e is the mathematical constant equal to approximately 2.71828.

In this case, the initial population is P₀ = 11,000 and the annual growth rate is 8.5% or 0.085 expressed as a decimal. Therefore, the exponential model for the population is:-

P(t) = 11,000 with Pe(0.085*t)

where t is the time in years.

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Answer:

x is I think 5

Step-by-step explanation:

dndjdudjndndjdjdjjd

Answer:

4 plus 16 over the sum

Step-by-step explanation:

the answer is in the question

The radius of Deimos to one significant digit in meters is approximately 9.4 m

.

Given the ratio of the Sun-from-Mars distance to Deimos-from-Mars distance is 365,000, the distance between Mars and Deimos can be found to bedeimos distance = Sun-Mars distance / 365,000

Next, we can find the diameter of Deimos by noting that 550 of its diameters is equal to the distance it takes to transit the shadow of Mars during a lunar eclipse.

Let's call the diameter of Deimos "d", so we can

diameter = 1/550 * deimos distance

Finally, the Sun appears about 8.4 times as large as Deimos in the Martian sky. If we call the radius of Deimos "r", then the radius of the Sun is 8.4r.

Using the information given, we can set up the following equation:

deimos distance / (3,000,000 + r) = 8.4r / (3,000,000)Simplifying and solving for r,

we get:r = 9.39 m (rounded to one significant digit)

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The solution is Option C.

4cm , 6cm , 10 cm does not form a right angle triangle

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be ABC which is a right angle triangle

Now , the sides of the triangle is given as

a)

6cm , 8cm , 10cm

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

So , substituting the values in the equation , we get

hypotenuse² = base² + height²

10² = 8² + 6²

100 = 64 + 36

100 = 100

Therefore , it is a right angle triangle

b)

12 cm , 35 cm , 37 cm

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

So , substituting the values in the equation , we get

hypotenuse² = base² + height²

37² = 35² + 12²

1369 = 1225 + 144

1369 = 1369

Therefore , it is a right angle triangle

c)

4 cm , 6 cm , 10 cm

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

So , substituting the values in the equation , we get

hypotenuse² = base² + height²

10² = 6² + 4²

100 = 36 + 16

100 ≠ 52

Therefore , it is not a right angle triangle

d)

10 cm , 24 cm , 26 cm

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

So , substituting the values in the equation , we get

hypotenuse² = base² + height²

26² = 24² + 10²

676 = 576 + 100

676 = 676

Therefore , it is a right angle triangle

Hence , the triangle with sides 4cm , 6cm , 10 cm does not form a right angle triangle

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Answer:

5x+9

Step-by-step explanation:

2(x-2)+3(x+5)

2x-4+3x+15

2x+3x-4+15

5x+9