Two plans for reaching a goal are given below. Plan A: Save $450 over the next 8 weeks by working 9 hours per week at $7. 20 per hour. Plan B: Save $450 over the next 6 weeks by working 15 hours per week at $6. 50 per hour. Which of the following is a true statement? a. Only plan A will work for achieving the goal. B. Only plan B will work for achieving the goal. C. Both plans will work for achieving the goal. D. Neither plan will work for achieving the goal.

Answer:28

Step-by-step explanation:

Break it up! 6x3 is 18. Then 18 + 10 is 28 :P

Hope this helps :D

Answer:

Step-by-step explanation:

One snake gives 120 calories, so 3 snakes = 360 and 5 snakes = 600 calories.

The eagle can have 3 - 5 snakes per day

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The required number of snakes is ~

\( \large \boxed{ \mathfrak{Explanation}}\)

Minimum number of snakes that the eagle need to eat to maintain its energy level ~

Maximum number of snakes that the eagle should eat to maintain the level of energy ~

So,

The Eagle should have 3 - 5 snakes per day ~

Answer:

I think its

Step-by-step explanation:

left second one

Answer:156 Yd ∧3

Step-by-step explanation:

lengthl = 8 ydwidthw = 6.5 ydheighth = 3 yddiagonald = 10.7354553 ydtotal surface areaStot = 191 yd2lateral surface areaSlat = 87 yd2top surface areaStop = 52 yd2bottom surface areaSbot = 52 yd2volumeV = 156 yd3

The situation leads to the conclusion that 0.05 is the proper significance threshold to reject the null hypothesis.

A statistical calculation known as a p-value is employed to assess the applicability of a hypothesis to the data.

A p-value establishes the likelihood that the outcomes that were observed would occur if the null hypothesis were true.

The found difference becomes statistically more significant as the p-value decreases.

The null hypothesis is probably accurate if P > 0.05. The likelihood that the alternative hypothesis is accurate is one less than the P value.

If the test outcome is unreliable or statistically significant, the test hypothesis must be rejected (P 0.05).

If the P value is above 0.05, no effect was seen.

So, if the p-value is less than the significance level, the null hypothesis will be rejected.

Both a 5% and 10% level of significance can be used to reject the null hypothesis, however, a 5% level of significance is preferable because it results in a confidence level of 95%, whereas a 10% level of significance results in a confidence level of 90%.

In essence, the significance level reflects the likelihood that the null hypothesis will be rejected when it is true, and the lower the likelihood of taking that risk, the better.

Thus, the circumstance suggests that 0.05 is the appropriate significance threshold.

Therefore, the situation leads to the conclusion that 0.05 is the proper significance threshold to reject the null hypothesis.

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Complete question:

In a two-tailed 2-sample z-test you find a P-Value of 0.0278. At what level of significance would you choose to reject the null hypothesis?

Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is the following. For \(0 ≤ x ≤ 2, F(1) = (1^3/12) = 0.0833.So, P(X ≤ 1) = 0.0833.\) Hence, the correct option is (a) P(X ≤ 1).

Given that X denotes the amount of time a book on two-hour reserve is actually checked out, and the cdf is the following:

\(cdf: 0 , x<0f(x) = ((x^2)/4) , 0 <= x <= 21 , 2<= x\)

To use the cdf to obtain the following.P(X ≤ 1)

So, the probability distribution function is the derivative of the cumulative distribution function.

∴ f(x) = d/dx(F(x))

Also, from the cdf, we know that:

\(f(x) = 0 when x < 0.f(x) = ((x^2)/4) when 0 ≤ x ≤ 2.\)

f(x) = 1 when x ≥ 2.

Using the above conditions, we have to calculate the following:

(a) P(X ≤ 1)

Here, P(X ≤ 1) = F(1).

When\(0 ≤ x ≤ 2, F(x) = ∫[0,x] f(t)dt=∫[0,x] (t^2/4)dt=[t^3/12]0x=(x^3/12)\)

Thus, for\(0 ≤ x ≤ 2, F(x) = (x^3/12).\)

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If the manufacturer's claim is correct, the probability that the average deviation from perfect accuracy would be 34 seconds or more in the sample obtained by the consumer review website is 0.033

We can use a one-sample t-test to test the manufacturer's claim. The null hypothesis is that the true mean deviation from perfect time is equal to 30 seconds per month, and the alternative hypothesis is that the true mean deviation from perfect time is greater than 30 seconds per month.

The test statistic for this one-sample t-test is calculated as follows

t = (x - μ) / (s / √n)

where x is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the values given in the problem, we have

x = 34 seconds

μ = 30 seconds

s = 15 seconds

n = 40 clocks

t = (34 - 30) / (15 / √40) = 1.89

Using a t-distribution table with degrees of freedom (df) = n-1 = 39 and a significance level of α = 0.05 (one-tailed test), the critical value is 1.686.

Since our calculated t-value (1.89) is greater than the critical value (1.686), we reject the null hypothesis and conclude that the true mean deviation from perfect time is greater than 30 seconds per month.

To calculate the probability that the average deviation from perfect accuracy would be 34 seconds or more in the sample obtained by the consumer review website, we need to find the area under the t-distribution curve to the right of t = 1.89. Using a t-distribution calculator, we find this probability to be approximately 0.033

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Answer:x=10/3

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

Hey There!

Our goal to solve this problem is to get the variable on one side and the constant on the other using inverse operations

\(\frac{2x-5}{3} =5\)

step 1 multiply each side by 3

3x5=15

3x/3 cancels out

now we have 2x-5=15

step 2 add 5 to each side

-5+5 cancels out

15+5=20

now we have

20=2x

step 3 divide each side by 2

20/2=10

we're left with x=10

15 liquids that can be found in a kitchen include:

15 solids in a kitchen are:

When it comes to solids in the kitchen, we can mostly find either food ingredients, such as salt, flour, and spices, or actual food that can be prepared such as meat, vegetables, and bread.

As for liquids, these can be anything from drinks such as juice, water and wine, to liquids used for cooking such as oil, soy sauce and vinegar.

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Answer:

The factors are,

x + 12 and x - 2

Step-by-step explanation:

x^2 + 10x - 24,

Here, we note that,

12 - 2 = 10,

and (12)(-2) = 24,

so, we  can re-write 10x as 10x = 12x - 2x

so,

\(x^2 + 12x - 2x - 24 = 0\)

Taking x common from the 1st two terms (x^2 and 12x),

and taking -2 common from the last two tems (-2x and -24), we get,

\(x^2 + 12x - 2x - 24 \\x(x+12)-2(x+12)\\taking \ (x+12) \ common,we \ get,\\(x+12)(x-2)\)

So, The factors are,

x + 12 and x - 2

Answer:

y = -23x+225

Step-by-step explanation:

Bugdet=spending

225 is the y-intercept and 23 is the slope or amount spent per day.

To ensure the survey results are reliable and representative of the district's high schools, Zander needs to consider the following factors:

Sample Size: Zander should determine an appropriate sample size that is large enough to provide statistically significant results. A larger sample size generally increases the reliability and accuracy of the findings.

Random Sampling: Zander should employ a random sampling method to ensure that every high school in the district has an equal chance of being included in the survey. This helps avoid bias and ensures a representative sample.

Survey Design: Zander should carefully design the survey questionnaire, including specific questions related to various sporting events. The questions should be clear, unbiased, and relevant to gather accurate information about participants' preferences.

Data Collection: Zander can choose to collect data through online surveys, paper-based questionnaires, or interviews. He should ensure that the data collection process is standardized and consistent across all participants.

Data Analysis: Once the survey responses are collected, Zander should analyze the data using appropriate statistical methods. He can calculate the frequency or percentage of participants who prefer each sporting event to identify the most popular one.

To find out the most popular sporting event in the district's high schools, Zander conducts a survey on a sample of the population. Conducting a survey allows him to gather data directly from the participants and obtain insights into their preferences.

By conducting a well-designed survey and analyzing the data appropriately, Zander can obtain valuable insights into the most popular sporting event in the district's high schools. These insights can help guide future decisions and investments in sports programs or events.

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This statement is true because both 5 is a whole number and 3 is a positive number, satisfying at least one of the conditions.

Let's go through each statement and answer the questions:

Statement 1: (30 out to the movie).

This is not a proposition because it is not a complete statement. It lacks a clear subject or predicate.

Statement 2: Where did the cat go?

This is not a proposition because it is a question and not a declarative statement.

Statement 3: There is a chipmunk in the backyard.

This is a proposition because it is a complete statement making a claim about the presence of a chipmunk in the backyard.

Statement 4: 15 - 22 = 100.

This is a proposition, but it is a false statement since 15 - 22 is not equal to 100.

Question 2: Assuming p is True and q is False.

We need a specific statement or proposition to evaluate its truth value using the given truth values of p and q.

Question 4: 5 is an odd number and 6 is a prime number.

This statement is false because 6 is not a prime number. It is divisible by 2 and 3, making it composite.

Question 5: 8 is an odd number or 7 is a prime number.

This statement is true because 8 is an odd number, satisfying the first condition.

Question 6: 5 is a whole number or 3 is a positive number.

This statement is true because both 5 is a whole number and 3 is a positive number, satisfying at least one of the conditions.

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Answer:

$2,750 = $200x + $750

10 cars to meet the goal

Step-by-step explanation:

We will pull details we need to solve out of the question:

     If her goal is to make 2,750 dollars, the money earned must equal at least $2,750.

     If she's already made $750, then we can subtract that from what is needed left to make (or add it to what needs to be made).

     Finally, she makes $200 per car. Let x equal the number of cars she sells.

Next, we will write an equation:

     $2,750 = $200x + $750

Lastly, we will solve this equation.

     $2,750 = $200x + $750

     $2,000 = $200x

     10 = x

           She needs to sell 10 cars to meet her goal.

Answer:

b

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

161 divided by 7 is 23. so you just multiply 4 by 23. And that gets you the answer. Hope this helps:)

Answer:

x=92

Solve for x by simplifying both sides of the equation, then isolating the variable. hopes this helps have a great day <3 :)

Step-by-step explanation:

Area =144m

2

Length =16m

Breadth=

16

144

=9m

Perimeter =2(l+b)

=2(16+9)

=2(25)=50m

Cost =6×50=300Rs.

The p-value associated with the test statistic is 0.018, which is less than the significance level of 10%.

If the p-value is less than the significance level (10%), then the manager can reject the null hypothesis in favor of the alternative hypothesis, which is that the average number of times car owners rotate their tires in a year is less than two.

Based on the sample data of 14 car owners, the mean number of times their tires were rotated in the last 12 months is 1.36, which is less than two. The standard deviation of the sample is 1.16, and the t-test statistic is calculated to be -2.28.

Using a t-distribution table with 13 degrees of freedom (n-1), the critical t-value at a significance level of 10% is -1.771. Since the t-test statistic (-2.28) is less than the critical t-value (-1.771), there is enough evidence to reject the null hypothesis.

Therefore, the manager can conclude that based on this sample data, there is sufficient evidence to suggest that car owners rotate their tires less frequently than the recommended amount in the owner's manual.

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Answer:

Sum of angles of a triangle is 180, so x + y + w = 180

Straight angle is 180 , so y + z = 180

From the first 2 conditions :

=>x + y +w = y + z

=> x + w = z  

Option 1, 2, 5

The equations which are true are given by,

Equation is a mathematical relation between more than one variable, number or mathematical quantities involving mathematical operations using equal sign in between them.

From angle sum property of triangle says that the sum of all interrior angles of a triangle is 180.

Here all interrior angles of triangle are x,y,w

So, x+y+w = 180

Hence first option is correct.

Again the exterrior angle of a triangle is equal to the sum of the opposite two interrior angles.

here exterrior angle is z and opposite two interrior of z are x,w

So, w+x = z

Hence last option is correct.

Again y+z = y+w+x

so second option is also true.

Hence correct options or equations are given by:

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The solution to the given algebraic expression using laws of exponents is; ⁻²¹/₄ + 3/(u³z)

Some of the laws of exponents are;

Product of powers rule ; This involves addition of powers together when multiplying like bases.

Quotient of powers rule; This involves subtraction of powers when dividing like bases.

Power of powers rule; This involves multiplication of powers together when raising a power by another exponent.

Now, we are given the algebraic expression as;

(21u⁵z⁴ - 12u²z³) ÷ (-4u⁵z⁴)

Thus, we will now have;

[(21u⁵z⁴)/ (-4u⁵z⁴)] - [(12u²z³)/(-4u⁵z⁴)]

Applying the laws of exponents as earlier stated, we have;

(-21/4) + 3(u⁻³z⁻¹)

= ⁻²¹/₄ + 3/(u³z)

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Answer:

C) SAS

Lines BC and CD are congruent, Angles 1 and 2 are congruent, and the triangles share a side. Thus, the triangles are congruent because of Side-Angle-Side.

The coordinates of the midpoint M are (-1, 4).

To find the midpoint M of the line segment AB with endpoints A(2, 1) and B(-4, 7), we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint M(x, y) of two points A(x₁, y₁) and B(x₂, y₂) can be found by taking the average of their respective x-coordinates and y-coordinates:

x = (x₁ + x₂) / 2

y = (y₁ + y₂) / 2

Let's apply the formula to find the midpoint M of AB:

x = (2 + (-4)) / 2

= -2 / 2

= -1

y = (1 + 7) / 2

= 8 / 2

= 4

Therefore, the coordinates of the midpoint M are (-1, 4).

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\({\huge{\fbox{\tt{\green{Answer}}}}}\)

______________________________________

To find the midpoint of a line segment, we take the average of the x-coordinates and the average of the y-coordinates. So, for the line segment AB with endpoints A = (2, 1) and B = (-4, 7), the midpoint M is:

→ M = ((2 + (-4)) / 2, (1 + 7) / 2)

M = (-1, 4)

Therefore, the midpoint of the line segment AB is M = (-1, 4).

______________________________________

Answer:

Let be a rational complex number of the form \(z = \frac{a + i\,b}{c + i\,d}\), we proceed to show the procedure of resolution by algebraic means:

1) \(\frac{a + i\,b}{c + i\,d}\)   Given.

2) \(\frac{a + i\,b}{c + i\,d} \cdot 1\) Modulative property.

3) \(\left(\frac{a+i\,b}{c + i\,d} \right)\cdot \left(\frac{c-i\,d}{c-i\,d} \right)\)   Existence of additive inverse/Definition of division.

4) \(\frac{(a+i\,b)\cdot (c - i\,d)}{(c+i\,d)\cdot (c - i\,d)}\)   \(\frac{x}{y}\cdot \frac{w}{z} = \frac{x\cdot w}{y\cdot z}\)  

5) \(\frac{a\cdot (c-i\,d) + (i\,b)\cdot (c-i\,d)}{c\cdot (c-i\,d)+(i\,d)\cdot (c-i\,d)}\)  Distributive and commutative properties.

6) \(\frac{a\cdot c + a\cdot (-i\,d) + (i\,b)\cdot c +(i\,b) \cdot (-i\,d)}{c^{2}-c\cdot (i\,d)+(i\,d)\cdot c+(i\,d)\cdot (-i\,d)}\) Distributive property.

7) \(\frac{a\cdot c +i\,(-a\cdot d) + i\,(b\cdot c) +(-i^{2})\cdot (b\cdot d)}{c^{2}+i\,(c\cdot d)+[-i\,(c\cdot d)] +(-i^{2})\cdot d^{2}}\) Definition of power/Associative and commutative properties/\(x\cdot (-y) = -x\cdot y\)/Definition of subtraction.

8) \(\frac{(a\cdot c + b\cdot d) +i\cdot (b\cdot c -a\cdot d)}{c^{2}+d^{2}}\) Definition of imaginary number/\(x\cdot (-y) = -x\cdot y\)/Definition of subtraction/Distributive, commutative, modulative and associative properties/Existence of additive inverse/Result.

Step-by-step explanation:

Let be a rational complex number of the form \(z = \frac{a + i\,b}{c + i\,d}\), we proceed to show the procedure of resolution by algebraic means:

1) \(\frac{a + i\,b}{c + i\,d}\)   Given.

2) \(\frac{a + i\,b}{c + i\,d} \cdot 1\) Modulative property.

3) \(\left(\frac{a+i\,b}{c + i\,d} \right)\cdot \left(\frac{c-i\,d}{c-i\,d} \right)\)   Existence of additive inverse/Definition of division.

4) \(\frac{(a+i\,b)\cdot (c - i\,d)}{(c+i\,d)\cdot (c - i\,d)}\)   \(\frac{x}{y}\cdot \frac{w}{z} = \frac{x\cdot w}{y\cdot z}\)  

5) \(\frac{a\cdot (c-i\,d) + (i\,b)\cdot (c-i\,d)}{c\cdot (c-i\,d)+(i\,d)\cdot (c-i\,d)}\)  Distributive and commutative properties.

6) \(\frac{a\cdot c + a\cdot (-i\,d) + (i\,b)\cdot c +(i\,b) \cdot (-i\,d)}{c^{2}-c\cdot (i\,d)+(i\,d)\cdot c+(i\,d)\cdot (-i\,d)}\) Distributive property.

7) \(\frac{a\cdot c +i\,(-a\cdot d) + i\,(b\cdot c) +(-i^{2})\cdot (b\cdot d)}{c^{2}+i\,(c\cdot d)+[-i\,(c\cdot d)] +(-i^{2})\cdot d^{2}}\) Definition of power/Associative and commutative properties/\(x\cdot (-y) = -x\cdot y\)/Definition of subtraction.

8) \(\frac{(a\cdot c + b\cdot d) +i\cdot (b\cdot c -a\cdot d)}{c^{2}+d^{2}}\) Definition of imaginary number/\(x\cdot (-y) = -x\cdot y\)/Definition of subtraction/Distributive, commutative, modulative and associative properties/Existence of additive inverse/Result.

Algebraic rule

As

here the polynomial has degree 6

6 can be all negative or positive

Answer:

Both positive (or) negative

Step-by-step explanation:

The polynomial's degree is 6 and so the polynomial has 6 zeroes. These zeroes can be either positive or negative.

Answer:

The value of the line integral s F .dr is -1/4 + 2/3j.

To evaluate the line integral s F .dr, where C is given by the vector function r(t) = ⟨x(t), y(t)⟩, we need to find the limits of integration and express F in terms of r(t).

First, let's find the limits of integration. We are not given any specific values of t, so we need to find the range of t that corresponds to the curve C. Since C is not explicitly defined, we can use the parameterization r(t) = ⟨t, t^2⟩ as a possible representation of C. We can see that as t varies, r(t) traces out a parabola in the xy-plane. Therefore, we can take the limits of integration to be the range of t that corresponds to this parabolic segment. One way to find this range is to solve the quadratic equation y = x^2 for x in terms of y, which gives x = ±√y. Since we are only interested in the part of the parabola that lies in the first quadrant, we take x = √y. Thus, the limits of integration are t = 0 to t = 1.

Next, let's express F in terms of r(t). We have F(x, y) = ⟨-xy, -x⟩ = -xy⟨1, 0⟩ - x⟨0, 1⟩ = -xyi - xj. To express F in terms of r(t), we substitute x = t and y = t^2, which gives F(r(t)) = -t^3i - tj.

Now we can evaluate the line integral using the formula

s F .dr = ∫a^b F(r(t)) . r'(t) dt,

where r'(t) = ⟨dx/dt, dy/dt⟩ is the derivative of r(t). In our case, r'(t) = ⟨1, 2t⟩.

Thus, we have

s F .dr = ∫0^1 F(r(t)) . r'(t) dt
= ∫0^1 (-t^3i - tj) . ⟨1, 2t⟩ dt
= ∫0^1 (-t^3 + 2t^2j) dt
= [-1/4t^4 + 2/3t^3j]0^1
= (-1/4 + 2/3j) - (0 + 0j)
= -1/4 + 2/3j.

Therefore, the value of the line integral s F .dr is -1/4 + 2/3j.

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Answer:

.17 per once for the smaller box and .15 for the bigger box

Step-by-step explanation:

Answer: Neither

Step-by-step explanation: