the p-value for a hypothesis test turns out to be 0.07702. at a 1% level of significance, what is the proper decision?

\(\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}\)

Let's Solve :

Therefore, the correct answer is 12

_____________________________

\(\mathrm{ ☠ \: TeeNForeveR \:☠ }\)

The equivalent expression of z + (z + 6) is 2(z + 3)

The correct answer is an option (c)

Here, the expression is z + (z + 6)

We need to find the equivalent expression of the above expression.

We simplify above expression to find the required equivalent expression.

Consider expression z + (z + 6)

We know that using associative property of addition states that:

a + (b + c) = (a + b) = c

Using this property,

z + (z + 6) = (z + z) + 6

                = 2z + 6

Now we take the common factor from above expreesion.

2z + 6 = 2(z + 3)

This means that z + (z + 6) = 2(z + 3)

Therefore, the required equivalent expression is 2(z + 3)

The correct answer is an option (c)

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Answer:

JGL, LGJ, 2

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

-3=x-8

8-3=x

x=5

Answer:

$70/day

Step-by-step explanation:

7 days = 490

1 day   =     X

Cross multiply

7X  =  490

Divide both sides by 7

X=70

The sequence of transformations that will map figure H onto figure H' is: Option B:  the rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across y = −6.

We are given the coordinates of the hexagon as:

Points of Hexagon H  →  (2,2), (2,6), (6,7), (8,6), (8,2), (6,1)

Points of Hexagon H' →  (2,-8), (2,-4), (4,-3), (8,-4), (8,-8), (4,-9)

The steps that can be used to transform the hexagon H into hexagon H' are:

Step 1 - Translate the hexagon in the positive x-axis direction by a factor of 10.

Step 2 - Translate the graph obtained in the above step by factor 2 in the downward direction.

Step 3 - Rotate the graph obtained in the above step 180 degrees about the origin.

Step 4 - Then take the reflection of the graph obtained in the above step about y = -6. The resulting graph shows the graph of Hexagon H'.

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answer this fully! i need to know what x equals

X equal minus 0.5

using the simple calculation, we can conclude that there are 40 leaflets with smudges. This is calculated by multiplying 800 (number of blue paper leaflets) with 0.05 (5% of the blue paper leaflets).

Total leaflets = 1200

Blue paper leaflets = (1200 - 400) = 800

Smudges on 5% of the blue leaflets = (800 x 0.05) = 40

Therefore, there are 40 leaflets with smudges.

The copier prints 1200 leaflets in total, out of which 400 leaflets are on yellow paper and the remaining 800 are on blue paper. As per the given information, 5% of the blue paper leaflets have smudges. Therefore, using the simple calculation, we can conclude that there are 40 leaflets with smudges. This is calculated by multiplying 800 (number of blue paper leaflets) with 0.05 (5% of the blue paper leaflets).

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6.92 days will be required for the fish population to reach 500. Given, fish population is modeled by the formula P = 3t + 10√t + 140, where t is the number of days since the fish were first introduced into the pond. We are supposed to find how many days will it take for the fish population to reach 500.

Now, Substitute the given fish population into the formula. We have to find t, number of days.500 = 3t + 10√t + 140

We need to simplify this equation to solve for t by subtracting 140 from both sides of the equation.

500 - 140 = 3t + 10√t360 = 3t + 10√t ..............(1)

Now, we will square both sides of the equation

(1).(3t)² + 2(3t)(10√t) + (10√t)² = 3609t² + 200t + 100t = 3609t² + 300t - 360

= 0

Now, we will apply quadratic formula to solve for t, which is given by:-b ± √b² - 4ac / 2a

Substitute the given values in the quadratic formula and simplify it.

t = [-300 ± √300² - 4(9)(-360)] / 2(9)t

= [-300 ± √90000 + 12960] / 18t

= [-300 ± √102960] / 18t

= [-300 ± 320.61] / 18t

= -33.92 or

6.92

As we know time cannot be negative so we will neglect the negative value. Hence, 6.92 days will be required for the fish population to reach 500.

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Answer:

A, B, D, E

Step-by-step explanation:

Given expression:

When multiplying decimals, multiply as if there are no decimal points:

\(\implies 6 \times 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 5 digits.

Put the same number of total digits after the decimal point in the product:

\(\implies (0.06) \cdot (0.154)=0.00924\)

-----------------------------------------------------------------------------------------------

Answer option A

\(\boxed{6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}}\)

When dividing by multiples of 10 (e.g. 10, 100, 1000 etc.), move the decimal point to the left the same number of places as the number of zeros.

Therefore:

\(\implies 6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}=(0.06) \cdot (0.154)\)

Therefore, this is a valid answer option.

Answer option B

\(\boxed{6 \cdot 154 \cdot \dfrac{1}{100000}}\)

Multiply the numbers 6 and 154:

\(\implies 6 \times 154 = 924\)

Divide by 100,000 by moving the decimal point to the left 5 places (since 100,000 has 5 zeros).

\(\implies 6 \cdot 154 \cdot \dfrac{1}{100000}=0.00924\)

Therefore, this is a valid answer option.

Answer option C

\(\boxed{6 \cdot (0.1) \cdot 154 \cdot (0.01)}\)

Again, employ the technique of multiplying decimals by first multiplying the numbers 6 and 154:

\(\implies 6 \cdot 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 3 digits.

Put the same number of digits after the decimal point in the product:

\(\implies 0.924\)

Therefore, as (0.06) · (0.154) = 0.00924, this answer option does not equal the given expression.

Answer option D

\(\boxed{6 \cdot 154 \cdot (0.00001)}\)

Again, employing the technique of multiplying decimals.

As there are a total of 5 digits after the decimals:

\(\implies 6 \cdot 154 \cdot (0.00001)=0.00924\)

Therefore, this is a valid answer option.

Answer option E

\(\boxed{0.00924}\)

As we have already calculated, (0.06) · (0.154) = 0.00924.

Therefore, this is a valid answer option.

a)The initial height of the flare when it is fired is 2m.

b)The height of the flare after 1 s is 38.75m

c)The flare reaches its maximum height after 2 seconds.

d) The maximum height of the flare is 65m.

e) The flare hits the water after 8 seconds.

The given equation which is h = -5.25t² + 42t + 2, can be used to solve the following questions:

a) To get the initial height of the flare when it is fired, the value of t = 0 must be used in the given equation:

h = -5.25(0)² + 42(0) + 2h

= 0 + 0 + 2h

= 2

Therefore, the initial height of the flare when it is fired is 2m.

b) To get the height of the flare after 1 s, the value of t = 1 must be used in the given equation:

h = -5.25(1)² + 42(1) + 2h

= -5.25 + 42 + 2h

= 38.75

Therefore, the height of the flare after 1 s is 38.75m

c)The maximum height of the flare is reached when the flare is at its peak.

Therefore, the time when the flare reaches its maximum height is found by dividing -b by 2a, where the equation is in the form of y = ax² + bx + c.

The equation h = -5.25t² + 42t + 2 is in the form of y = ax² + bx + c,

where a = -5.25, b = 42, and c = 2.t = -b/2a = -42/2(-5.25)

= -2

Therefore, the flare reaches its maximum height after 2 seconds.

d) To get the maximum height of the flare, the value of t = 2 must be used in the given equation:

h = -5.25(2)² + 42(2) + 2h

= -21 + 84 + 2h

= 65

Therefore, the maximum height of the flare is 65m.

e)When the flare hits the water, the height, h, is 0.

Therefore, the time when the flare hits the water is found by setting h = 0 in the given equation and solving for t:

0 = -5.25t² + 42t + 2

Using the quadratic formula:\($$t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $$\)

where a = -5.25, b = 42, and c = 2.

= \(\frac{-42 \pm \sqrt{42^2 - 4(-5.25)(2)}}{2(-5.25)} $$t\)

= 8.003 or t = 1.331

Since time cannot be negative, the time when the flare hits the water is after 8 seconds. Therefore, the flare hits the water after 8 seconds.

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Answer:

40%

Step-by-step explanation:

Answer:

6a-2b-3c+4d

Step-by-step explanation:

2a+4a = 6a

b-3b = -2b

-c-2c = -3c

-d+5d = 4d

Answer:

6a - b - 3c + 4d

Step-by-step explanation:

⭐What is a polynomial?

Whenever you add polynomials, the only terms you can perform addition or subtraction on are like terms.

⭐What are like terms?

We are asked to add the two given polynomials. Therefore, we have to add the like terms.

\(2a + b - c - d + (4a - 3b - 2c + 5d)\)

a and a, b and b, c and c, and d and d all have the same variable with an exponent of 1.

When adding, make sure to utilize the correct addition rules.

⭐What are the rules for adding real numbers?

2a and 4a are positive. Therefore, 2a + 4a = 6a.

-3b is negative, but b is positive. -3b > b. Therefore, -3b + b = -2b.

-c and -2c are both negative. Therefore, -2c - c = -3c.

-d is negative, but 5d is positive. 5d > -d. Therefore, -d + 5d = 4d.

∴ \(2a + b - c - d + (4a - 3b - 2c + 5d) = 6a -b -3c + 4d\)

⭐if this response helped you, please mark it the "brainliest"!⭐

Answer:

31.5

Step-by-step explanation:

Assuming that the lowest point and the highest point on the Ferris wheel are opposite each other, the difference of height will be the distance between the two points, and thus, the distance across fo the Ferris wheel. Divide this value by (2) to find the radius of the strucutre.

75 - 12

= 63

63 / 2

= 31.5

At a discount rate of 20%, the present value of your aunt’s offer of $22,000 in 17 years is approximately $190.46.


To calculate the present value of your aunt’s offer, we use the discount rate of 20%. The formula for present value is PV = FV / (1 + r)^n, where PV is the present value, FV is the future value, r is the discount rate, and n is the number of periods. Plugging in the values, we have PV = $22,000 / (1 + 0.20)^17, which gives us approximately $190.46.

For the investment scenarios, we use the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount (initial investment), r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years. Plugging in the given values for each case, we calculate the final amounts.
a. A = $12,500(1 + 0.07/1)^(1*8) ≈ $19,956.77.
b. A = $12,500(1 + 0.10/1)^(1*17) ≈ $46,426.32.
c. A = $12,500(1 + 0.12/2)^(2*20) ≈ $73,785.59.
Therefore, if you invest $12,500 today, you will have approximately $19,956.77 in 8 years at 7%, $46,426.32 in 17 years at 10%, and $73,785.59 in 20 years at 12% compounded semiannually.

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The quadratic example is ax² + b x + c = 0 where x stands for an unknown value and where a, b, and c stand for known numbers is known as a quadratic equation in algebra.

Quadratic equations are second-degree polynomial equations with at least one squared term. It is also referred to as quadratic equations.

The numerical coefficients a, b, and c are known, while the unknown variable x is. For example , x2 + 2x + 1. It also goes by the name quadratic equation as in: b x +c=0    

The terms a, b, and c are also referred to as quadratic coefficients.    

'Examples of Quadratics

x² –x – 9 = 0

5x² – 2x – 6 = 0
3x² + 4x + 8 = 0

-x² +6x + 12 = 0  (an example of non-quadratic equation is x³ − x² − 5 = 0)

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A graph to represent this scenario is number line with open circle on the number 89 and line shaded to the right

In Mathematics, the following rules are generally used for writing and interpreting an inequality on a number line:

Let the age of the grandparents be x. Therefore, an inequality which represents the situation described above is given by:

x > 89

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The given statement, "A 99.8% confidence interval for the population mean is 54.4", is false. The correct interval is (56.05, 60.95).

Part 2 of 2:

We can use the following formula to find the confidence interval for the population mean:

CI = x ± z*(s/√n)

where x is the sample mean, s is the sample standard deviation, n is the sample size, z is the z-score corresponding to the desired level of confidence, and CI is the confidence interval.

For a 99.8% confidence interval, we need to find the z-score that corresponds to an area of 0.001 on each tail of the standard normal distribution. Using a standard normal distribution table or a calculator, we find that the z-score is approximately 3.090.

Substituting the given values into the formula, we have:

CI = 58.5 ± 3.090*(9.5/√57)

Simplifying this expression, we get:

CI = 58.5 ± 2.45

Therefore, the 99.8% confidence interval for the population mean is (58.5 - 2.45, 58.5 + 2.45), or (56.05, 60.95), rounded to one decimal place.

So the given statement, "A 99.8% confidence interval for the population mean is 54.4", is false. The correct interval is (56.05, 60.95).

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Answer:

1 granola bar =

Step-by-step explanation:

10 granola bars= $4.00 x 2 = $8.00

15 granola bars=$4.00 x 3 = $12.00

20 granola bars=$4.00 x 4 = $16.00

1 granola bar = $0.80p

The sin function can be model as N(t) = 0.5sin(πt/6) + 1.5 if the attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

The attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.

We know the sine function is:

y = Asin(w + c) + s

Here:

A is amplitude

w is angular velocity,

s is vertical Displacement,

c = phase angle

A = (2000000 - 1000000) /2 =  500,000

w = 2π/T  

T = 12

w = 2π/12 = π/6

s = (1000000 +2000000) /2 = 3,000,000/2 = 1,500,000

500,000sin(π/6 + 0) + 1500000

500000sin(π/6)+1500000

or

0.5sin(πt/6) + 1.5

Thus, the sin function can be model as N(t) = 0.5sin(πt/6) + 1.5 if the attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.

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The expression √-180  in simplest radical form is 6i√5

From the question, we have the following parameters that can be used in our computation:

√-180

Express 180 as product of 36 and 5

So, we have

√-180 = √-(36 * 5)

Rewrite as

√-180 = √(36 * -5)

Take the square root of 36

√-180 = 6√(-5)

The square root of -1 is i

So, we have

√-180 = 6i√5

Hence, the expression in simplest radical form is 6i√5

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Question

Write √-180 in simplest radical form.​

Answer:

-98 x (175-34)

Step-by-step explanation:

Answer:

B or N = 2

Step-by-step explanation:

linear equations are equations that has a degree of 1. The value of n from the given equation is 2

Linear equations are equations that has a degree of 1. Given the equation below;

1/2(n-4) - 3 = 3 - (2n+3)

Expand

1/2(n - 4) - 3 = 3 -2n - 3

1/2(n - 4) = -2n + 3

Multiply both sides by 2

n - 4 = -4n + 6

collect the like terms

n + 4n = 6 + 4

5n = 10

n = 2

Hence the value of n from the given equation is 2

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To find the shortest distance from the surface xy + 15x + z^2 = 209 to the origin, we need to minimize the distance function between a point on the surface and the origin.

The distance from a point (x, y, z) on the surface to the origin can be calculated using the distance formula: Distance = √(x^2 + y^2 + z^2). We can express y in terms of x and z using the given equation:  xy + 15x + z^2 = 209; y = (209 - 15x - z^2) / x. Substituting this expression for y in the distance formula, we have: Distance = √(x^2 + [(209 - 15x - z^2) / x]^2 + z^2). To find the shortest distance, we need to minimize this distance function. We can do this by finding the critical points of the distance function and checking for the minimum value. Differentiating the distance function with respect to x and z, we obtain: ∂(Distance)/∂x = (2x - (209 - 15x - z^2) / x^3) / (2√(x^2 + [(209 - 15x - z^2) / x]^2 + z^2)); ∂(Distance)/∂z = (2z - 2z(x^2 + [(209 - 15x - z^2) / x]^2) / (2√(x^2 + [(209 - 15x - z^2) / x]^2 + z^2)).

Setting both partial derivatives equal to zero, we can solve for the critical points. However, solving these equations algebraically may be difficult due to the complexity of the expressions. Alternatively, we can use numerical methods or optimization techniques to find the minimum distance.

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The probability of P(Boy/Senior) is 2/37.

Given that, the total number of students=37 and the number of senior boys=2.

P(A|B)=P(A ∩ B)/P(B).

We need to find P(Boy/Senior).

P(A ∩ B) indicates the probability of A and B, or, the probability of A intersection B means the likelihood of two events simultaneously, i.e. the probability of happening two events at the same time.

Now, P(Boy/Senior)=2/37.

Therefore, the probability of P(Boy/Senior) is 2/37.

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Answer:

2/7

Step-by-step explanation:

2 seniors / 7 seniors in total

Answer:

y = 0

Step-by-step explanation:

Substitute x = 0 into the equation

y = 40x² , then

y = 40 × 0² = 40 × 0 = 0

Answer:

y -17 = 17/10(x + 13)

Step-by-step explanation:

Answer:

It is, D

Step-by-step explanation:

Your welcome for raising your test score

Answer:

-12

Step-by-step explanation:

Answer:

Bus 18 is more consistent than Bus 47 based on the IQR, which is smaller for Bus 18 (16) compared to Bus 47 (24), indicating less spread of data between the 25th and 75th percentiles.

Step-by-step explanation:

Answer: The correct option regarding which bus has the least spread among the travel times is given as follows:

Bus 14, with an IQR of 6.

How to obtain the measures of spread?

First, we consider the dot plot, which shows the number of times that each observation appears in the data set.

Then we consider the interquartile range, which gives the difference between the third quartile and the first quartile of the data set.

The interquartile range is a better measure of spread compared to the range of a data set, as it does not consider outliers.

For groups of 15 students, we have that:

The first half is composed of the first seven students, hence the first quartile is the fourth dot, which is the median of the first half.

The second half is composed of the last seven students, hence the first quartile is the eleventh dot, which is the median of the first half.

The quartiles for Bus 14 are given as follows:

Q1 = 12.

Q3 = 18.

Hence the IQR is of:

IQR = Q3 - Q1 = 18 - 12 = 6.

The quartiles for Bus 18 are given as follows:

Q1 = 9.

Q3 = 16.

Hence the IQR is of:

IQR = Q3 - Q1 = 16 - 9 = 7.

Step-by-step explanation:

Answer:

SAS is the answer

Step-by-step explanation:

Answer:

HL.

Step-by-step explanation:

Right triangles with the hypotenuse and one leg congruent