Which expression is NOT equivalent to
64?
2^-6
8^-2
64^-1
4^-4

Bearing is measured from reference line clockwise or counter-clockwise - FALSE.

A bearing is an angle that is calculated clockwise from the north.

The vertical angle between an object's direction and either north or another object is known as a bearing or azimuth in navigation. You can specify the angle value in a number of different angular units, including degrees, mils, and grad.

Angles are measured in comportments clockwise from north.

The direction of north must be identified before taking a bearing measurement.

The math exam question will typically include this north direction. The required angle is then measured in a clockwise fashion. Since all bearings must be reported in three figures, we must begin the three-figure bearing with zero if the angle measured is less than 100 degrees.

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Answer:

We can start by isolating the variable "h".

5 8 h + 1 1 2 = 5

Subtracting 11/2 from both sides:

5 8 h = 5 - 1 1 2

Simplifying:

5 8 h = 8 1 2

Dividing both sides by 5/8:

h = 8 1 2 ÷ 5 8

Converting the mixed number to an improper fraction:

h = (8 x 8 + 1) ÷ 5 8

h = 65/8

Now, we can convert this fraction to a mixed number:

h = 8 1/8

Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:

5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8

Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).

Step-by-step explanation:

Answer:

Since, it is a triangle and the sum of angles of triangle is 180°. So

72+57+X=180

or, 128+X=180

or, X= 180-128

X= 51°

Rounding to the nearest tenth of a percent, we find that approximately 65.5% of the data is less than 105.

To find the percentage of the data that is less than 105 in a normal distribution with a mean of 100 and a standard deviation of 15, we can use the standard normal distribution table or a statistical calculator.

Using a standard normal distribution table, we need to calculate the z-score for the value 105, which represents the number of standard deviations away from the mean:

z = (x - μ) / σ,

where x is the value (105), μ is the mean (100), and σ is the standard deviation (15).

Substituting the values:

z = (105 - 100) / 15 = 5 / 15 = 1/3.

Looking up the z-score of 1/3 in the standard normal distribution table, we find that it corresponds to approximately 0.6293.

The percentage of the data that is less than 105 can be calculated by converting the z-score to a percentile:

Percentile = (0.5 + 0.5 * erf(z / √2)) * 100,

where erf is the error function.

Substituting the z-score into the formula:

Percentile = (0.5 + 0.5 * erf(1/3 / √2)) * 100 = (0.5 + 0.5 * erf(1/3 / 1.414)) * 100.

Calculating this value gives us approximately 65.48.

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The rate at which the area of the triangle is changing when the base of the ladder is 9 ft from the wall will be the negative 8/3.

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

A 15-foot ladder is leaning against a wall of a house.

The base of the ladder is pulled away from the wall at a rate of 2ft/sec.

Then the equation will be

x² + y² = 15²

x² + y² = 225

Differentiate with respect to time. Then we have

2x (2) + 2yy' = 0

y' = -2x / y

Then the rate at which the area of the triangle is changing when the base of the ladder is 9 ft from the wall will be

Then the value of x will be

x² + 9² = 15²

x² + 81 = 225

      x² = 144

        x = 12 ft

Then the rate will be

y' = -2x / y

y' = – 2 × 12 / 9

y' = – 8/3

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Answer:

I would have to say C.) VA

Step-by-step explanation:

i obviously can't sketch it out but in a triangle there is the hypotenuse, the opposite, and the adjacent. this is going by the right angle in the triangle.

ok the triangle we are working with is YAV. in this triangle, the segment VA is the shortest

Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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The probability that Joe  will take no more than 7 tries to pass it is calculated as 0.7712.

Given: Every time Joe takes the fourth statistics quiz, he has a 19% chance of passing.

Mean = μ = 1/p = 1/(19/100) = 100/19 ≈ 5.26

Variance = σ² = (1-p)/p² = \(\frac{1-(19/100)}{19/100}^{2}\) 8100/361 ≈ 22.4376

Standard Deviation = σ = \(\sqrt{ \frac{1-p}{p^2} }\) = \(\sqrt{ \frac{1-(19/100)}{(19/100)^2} }\) = 90/19 ≈ 4.736

P(X = 7) = 0.05366

P(X<7) = 0.7175

P(X≤7) = 0.7712

Therefore, the probability that Joe  will take no more than 7 tries to pass it is 0.7712.

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Answer: 1-a=31/3

Step-by-step

Step-by-step explanation:

I asked my math teacher, we did the problem together, and I belive this other guy is also right.

Answer:

a) x = 70

b) a = 50

Step-by-step explanation:

a)  Angles on a straight line add up to 180°

⇒ 52 + x + 58 = 180

⇒ x = 180 - 52 - 58

⇒ x = 70

b) Angles around a point add up to 360°

⇒ 120 + 90 + a + a + a = 360

⇒ 210 + 3a = 360

⇒ 3a = 360 - 210

⇒ 3a = 150

⇒ a = 150 ÷ 3

⇒ a = 50

Answer:

a) x = 70°

b) a = 50°

Step-by-step explanation:

Part (a)

52° + x° + 58 = 180° (Angles on a straight line add up to 180 degrees.)

x + 110 = 180

Subtract 110 to both sides

x = 180 - 110

x = 70°

Part (b)

a° + a° + a° + 90° + 120° = 360° (Angles at a point add up to 360 degrees)

3a + 210 = 360

Subtract 210 to both sides

3a = 360 - 210

3a = 150

Divide both sides by 3

a = 150 / 3

a = 50°

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

The answer is 80°

Step-by-step explanation:

Here, we know that the sum of all interior angles of hexagon is equal to 720°

So,

x + x + 140 + 140 + 140 + 140 = 720

2x + 560 = 720

2x + 560 – 560 = 720 – 560

2x = 160

2x/2 = 160/2

x = 80°

Thus, The value of x is 80°

For Verification

x + x + 140 + 140 + 140 + 140 = 720

80 + 80 + 140 + 140 + 140 + 140 = 720

720 = 720

L.H.S = R.H.S

Hence Verified!

-TheUnknownScientist 72

A confidence interval is a range of values that is likely to contain the true value of an unknown parameter with a certain level of confidence.

We can use the formula for the confidence interval of a proportion:

p±z α/2√p(1− p)/n

where $\hat{p}$ is the sample proportion, $n$ is the sample size, and $z_{\alpha/2}$ is the critical value from the standard normal distribution.

In this case, we have $\hat{p} = \frac{14}{130} = 0.1077$ and $n=130$. Using a table or calculator, we find that $z_{\alpha/2} = 2.33$ for a 98% confidence interval.

Plugging in the values, we get:

0.1077±2.33 √0.1077(1−0.1077)/130

Simplifying, we get:

(0.063,0.153)

So the answer is (A).

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Answer:

x=(-36)

Step-by-step explanation:

Answer:

x = -36.

Step-by-step explanation:

-1/3x-21/4=27/4

-1/3x = 27/4 + 21/4

-1/3x = 48/4 = 12

x = 12* -3

x = -36.

The p2 directly proportional is to a3 and inversely proportional to M1 M2 (option D).

If p2 is directly proportional to a3, it means that as the value of a3 increases, the value of p2 also increases. This indicates a positive correlation between p2 and a3.

On the other hand, if p2 is inversely proportional to M1 M2, it means that as the value of M1 M2 increases, the value of p2 decreases. This suggests a negative correlation between p2 and M1 M2.

Therefore, the correct answer is D. directly proportional; inversely proportional, as it accurately describes the relationship between p2, a3, and M1 M2.

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Answer:

0.59

Step-by-step explanation:

p(fiction) = 0.34 (fiction only and including fiction and paperback together)

p(paperback) = 0.23 (paperback only and including fiction and paperback together)

p(both fiction and paperback) = 0.16

p(fiction or paperback) = 0.34 + 0.23 - 0.16

p(friction or paperback) = 0.41

p(neither fiction nor paperback) = 1 - 0.41

p(neither fiction nor paperback) = 0.59

Answer:

I'd be happy to help! This can be solved with a bit of simple division and multiplication. After you follow the steps below, you would get 42.666 repeating miles

Step-by-step explanation:

To find the distance you will first need to divide 16 by 3.

16/3=5.333 repeating

You then multiply your answer by 8 to find the miles

5.333*8=42.666

Answer: The speed of the plane is 275 m/h and that of the wind, is 25 m/h.

Step-by-step explanation:

1000/4 = 250 mph

1000/(10/3) = 300 mph

The plane's airspeed is the average (250 + 300)/2 = 275 mph

The windspeed is the difference, 275 - 250 = 25 mph

Answer:

a broom handle - line segment

the letter T - perpendicular lines

a sun ray - ray

a cookie crumb - point

the horizon - line

row of seats of airplane -  parallel lines

Step-by-step explanation:

a broom handle is straight and has a beginning and end, same goes for a line segment

the letter T has two lines that intersect with one another, these lines are perpendicular

a sun ray is well, a ray

a cookie crumb is small and round, similar to a point

lines do not have a beginning or end, like the horizon line

and the row of seats on an airplane all line up together like lines that are parallel.

Hope this helps :)

Answer:

60n-30

Step-by-step explanation:

you would do 15 * 4n

that would give you 60. since 15 *4 is 60 and then you would just put the n

15*2 equals 30. You would make it a negative 30 since it is a negative 2.

then you would combine them and get the answer

60n-30

Hope this helps!

Answer:

Let the number be X

42 + 2x/4 =2X

cross multiply

42+2X=8x

42=8X-2x

42=6X

6X=42

X=7

Step-by-step explanation:

I'm just a smart guy

I think this is invalid because it is a convenience sample. All of the 5th graders she asked were her friends, and they were all in the art club.

Simultaneously solving three equations, we find that an apple costs $0.40, a banana costs $0.25, and an orange costs $0.45.

Let's denote the cost of an apple, a banana, and an orange as 'a', 'b', and 'c', respectively.

From the first equation, we have:

2a + 2b + c = 1.90 ...(1)

From the second equation, we have:

3a + b + 2c = 2.50 ...(2)

From the third equation, we have:

a + b = 0.70 ...(3)

We can solve these equations simultaneously to find the values of 'a', 'b', and 'c'. Here's how:

First, we can use equation (3) to express 'a' in terms of 'b':

a = 0.70 - b

Next, we can substitute this expression for 'a' into equations (1) and (2) and simplify:

2(0.70 - b) + 2b + c = 1.90

=> 1.40 + c = 1.90 + b

3(0.70 - b) + b + 2c = 2.50

=> 2.10 - 2b + 2c = 2.50

Now, we can solve for 'b' and 'c' by adding these two equations:

1.40 + c + 2.10 - 2b + 2c = 4.40

=> 3c - 2b + 2.50 = 4.40

=> 3c - 2b = 1.90 ...(4)

We can also substitute the expression for 'a' into equation (3) and solve for 'b':

(0.70 - b) + b = 0.70

=> b = 0.25

Finally, we can substitute the values of 'b' into equations (1) and (4) and solve for 'a' and 'c':

2a + 2(0.25) + c = 1.90

=> 2a + c = 1.40

3a + 0.25 + 2c = 2.50

=> 3a + 2c = 2.25

Solving these two equations simultaneously, we get:

a = 0.40

c = 0.45

Therefore, an apple costs $0.40, a banana costs $0.25, and an orange costs $0.45.

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A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.

the solution to be eliminated is -0.2s this is because time do not have negative values

ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.

Considering the given function, the answer is both real one is negative the other is positive.

The solution in this case represents time, and time of negative value do not apply in real life

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For each pairwise comparison, you would compare the p-value against an adjusted significance level of approximately 0.00167 to determine if the difference between the treatments is statistically significant after applying the Bonferroni correction.

The Bonferroni method is a statistical procedure used to adjust the significance level for multiple comparisons in order to control the familywise error rate. To perform multiple comparisons using the Bonferroni method at the 0.01 level, you would divide the desired overall significance level (0.01) by the number of pairwise comparisons being made.

If you have four levels of treatments and want to compare each pair of treatments, you would have a total of six pairwise comparisons: A vs. B, A vs. C, A vs. D, B vs. C, B vs. D, and C vs. D.

To apply the Bonferroni correction, divide the desired overall significance level of 0.01 by the number of comparisons (6):

Adjusted significance level = 0.01 / 6

The adjusted significance level for each individual comparison would then be:

Adjusted significance level = 0.01 / 6 ≈ 0.00167

So, for each pairwise comparison, you would compare the p-value against an adjusted significance level of approximately 0.00167 to determine if the difference between the treatments is statistically significant after applying the Bonferroni correction.

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answer is

B. 6√2

hope this helps!

Answer:

You cannot tell which number is greater, we need more information.

"multi-digit" does not imply how many digits each number has, therefore both numbers could be greater, for example:

3005 vs 60

OR

30 vs 645

Answer:

7/8, 5/8. 1/20

Step-by-step explanation:

7/8 is close to 1

5/8 is close to half of 1

1/20 is closer to zero than it is to 1

therefore, 7/8 is the largest number, 1/20 is the smallest number, and 5/8 is in between them