John is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than usual. When he weighs one of the sticks, he finds that it is 2.44 oz. The manufacturer's website states that the average weight of each stick is 2.00 oz with a standard deviation of 0.19 oz. Assume that the weight of the drumsticks is normally distributed. What is the probability of the stick's weight being 2.44 oz or greater? Give your answer as a percentage precise to at least two decimal places.

Question:

I thought of a number, I added 1 3/4 to it, then I multiplied the result by 2 2/11 and I got 8. What was my number?

Answer:

The number is \(1\frac{11}{12}\)

Step-by-step explanation:

Let the number be x.

Analyzing the steps, 1 at a time

Add \(1\frac{3}{4}\) to x

This implies:

\(x + 1\frac{3}{4}\)

Multiply by \(2\frac{2}{11}\) to result in 8

This implies:

\((x + 1\frac{3}{4}) * 2\frac{2}{11} = 8\)

Now, we solve for x

Convert mixed numbers to improper fractions

\((x + \frac{7}{4}) * \frac{24}{11} = 8\)

\((\frac{4x + 7}{4}) * \frac{24}{11} = 8\)

Multiply through by 11

\(11 * (\frac{4x + 7}{4}) * \frac{24}{11} = 8 * 11\)

\((\frac{4x + 7}{4}) * 24 = 88\)

Divide through by 24

\((\frac{4x + 7}{4}) * 24/24 = 88/24\)

\(\frac{4x + 7}{4} = \frac{88}{24}\)

Multiply through by 4

\(4 * \frac{4x + 7}{4} = \frac{88}{24} * 4\)

\(4x + 7 = \frac{88 * 4}{24}\)

\(4x + 7 = \frac{88}{6}\)

\(4x + 7 = \frac{44}{3}\)

Make 4x the subject

\(4x = \frac{44}{3} -7\)

\(4x = \frac{44-21}{3}\)

\(4x = \frac{23}{3}\)

Solve for x

\(x = \frac{23}{3 * 4}\)

\(x = \frac{23}{12}\)

\(x = 1\frac{11}{12}\)

Hence, the number is \(1\frac{11}{12}\)

Answer:

1/2

Step-by-step explanation:

20/√5 = 4√5

4√5 * (5√2 / 4√5) = 5√2

8 / 4 = 2

4 / (2^3) = 1/2

|1/2| = 1/2

The first term of this sequence is equal to 1/2

Suppose the initial term of a geometric sequence is a and the term by which we multiply the previous term to get the next term is r

Then the sequence would look like

\(a, ar, ar^2, ar^3, \cdots\)

Thus, the nth term of such sequence would be; \(T_n = ar^{n-1}\)(you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).

We are given that The 4th term of a different geometric sequence is

4, The 6th term of this sequence is 5√2

20/√5 = 4√5

4√5 (5√2 / 4√5) = 5√2

8 / 4 = 2

Therefore,

4 / (2^3) = 1/2

|1/2| = 1/2

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Answer:

11 brushes

Step-by-step explanation:

14+y=25

-14 .   -14

y=11

48.28 m/s is the speed .

What is the definition of a velocity simple?

The speed at which a body or object is moving determines its direction of motion. Most of the time, speed is a scalar quantity. Velocity is fundamentally a vector quantity.

                         The rate at which distance changes is what it is. It measures the displacement's rate of change.

Height, y = 52t - 1.86t²

Velocity = ∆y/∆t = 52 - 1.86 * 2t = 52- 3.72t

A. Average velocity = (v1 + v2)/2

(i) At t = 1, 2

Average velocity = (52 - 3.72*1 + 52 -3.72*2)/2 = 46.42 m/s

(ii) At t = 1,1.5

Average velocity = (52 - 3.72*1 + 52 - 3.72*1.5)/2 = 47.35 m/s

(iii) At t = 1,1.1

Average velocity = (52 - 3.72*1 + 52 -3.72*1.1)/2 = 48.09m/s

(iv) At to = 1, 1.01

Average velocity = (52 - 3.72*1 + 52 - 3.72*1.01)/2 = 48.26 m/s

(iv) At t = (1, 1.001)s

Average velocity = (52 - 3.72*1 + 52 - 3.72*1.001)/2 = 48.28 m/s

B. Speed at t = 1s

Velocity = 52 - 3.72 * 1 = 48.28 m/s

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Since the y-intercept of the line is (0,1) and the line passes through the point (2,4) which is also satisfied by the equation of the line, the given equation represents the graph of the line.

The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.

The given equation of the line is y = (3/2)x + 1.

To find the y-intercept of the line, substitute x = 0 into the given equation,

y = (3/2)(0) + 1

y = 1

Note that the y-intercept of the graph of the line is also 1.

The graph of the line passes through points (2,4).

To verify whether the equation satisfies the coordinates of (2,4) or not, substitute the coordinates of the point into the given equation:

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

4 =4

The equation is true.

Hence, it can be said that the given equation represents the graph of the line.

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Answer:

A = 2184 cm²

Step-by-step explanation:

the area (A) of the figure is calculated as

A = \(\frac{1}{2}\) h(b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 42 , b₁ = 52 , b₂ = 52 , then

A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²

Answer:

A = 2184 cm2

Step-by-step explanation:

Area of a parallelogram:

\(A = b*h\)

\(b=52,h=42\)

\(A=(42)(52)=2184cm^{2}\)

Hope this helps.

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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Given: WXYZ is a quadrilateral graphed in the coordinate plane with vertices W(0,5), X(-3,2), Y(0,-4), and Z(3,2).

Required: To determine the side length and type of quadrilateral.

Explanation: The distance between two points is given by the formula-

The length of side WX is-

Further solving as-

Similarly, the side length XY is-

And, the side length YZ is-

Finally, the side length WZ is-

Now, since the adjacent sides of the quadrilateral WXYZ are equal, the quadrilateral is a Kite.

Final Answer:

The length of side WX=4.24 units.

The length of side XY=6.71 units.

The length of side YZ=6.71 units.

The length of side ZW=4.24 units.

The best name for this quadrilateral is Kite.

Answer:

0.0918 ; 0.6277 ; 0.6064; 0.5055

Step-by-step explanation:

Given that :

Proportion of home owners : p = 0.52

Number of trials = 45

Using binomial distribution formula :

P(x =x) = nCr * p^x * (1 - p)^(n-x)

A.) probability that exactly 21 are homeowners :

P(x = 21) = 45C21 * 0.52^21 * (1 - 0.52)^(45 - 21)

P(x = 21) = 45C21 * 0.52^21 * 0.48^24

P(x = 21) = 3773655750150 * 0.52^21 * 0.48^24

P(x = 21) = 0.0918

b. At most 24 of them are are home

Using the binomial probability to save computation time.

P(x ≤ 24) = p(0) + p(1) +.... + p(24)

P(x ≤ 24) = 0.6277

C.) At least 23 of them are home owners.

P(x ≥ 23) = p(23) + p(24) +... + p(45)

P(x ≥ 23) = 0.6064

d. Between 20 and 24 (including 20 and 24) of them are home owners.

P(20 ≤ x ≤ 24) = p(20) + p(21) + p(22) + p(23) + p(24)

P(20 ≤ x ≤ 24) = 0.0711 + 0.0918 + 0.1084 + 0.1175 + 0.1167

P(20 ≤ x ≤ 24) = 0.5055

Part a

There are \(\frac{\pi}{180}\) radians in a degree, so the angle of rotation in radians is \(\frac{930\pi}{180}=\frac{31\pi}{6}\).

Part b

Using the arc length formula, the distance is \((31\pi/6)(3.5)=\frac{217\pi}{12}\) inches.

Answer:

D

Step-by-step explanation:

x times 8 is equal to 40 which is y.

Answer:

D.

Step-by-step explanation:

hope this helps :3

if it did pls mark brainliest

sorry if im wrong

To establish trust with Martina, the nurse should show respect, use non-verbal communication, incorporate play, involve the parent, and individualize the approach.

To establish a trusting relationship with Martina, the nurse can employ several approaches:

Respect and empathy: The nurse should approach Martina with genuine respect and empathy, recognizing her unique needs and individuality. This can be conveyed through a calm and patient demeanor.

Non-verbal communication: Since Martina may not be responsive to verbal cues, the nurse can utilize non-verbal communication to establish connection and trust. This can include maintaining eye contact, using gentle touch, and respecting Martina's personal space.

Play and familiar objects: Given Martina's engagement with the blue stuffed dog, the nurse can incorporate play into their interactions. Bringing familiar objects or toys that Martina finds comforting can help create a sense of familiarity and security.

Parental involvement: Involving Martina's mother in the care process can be beneficial. The nurse can communicate with the mother, seek her input, and involve her in the administration of medications. This helps build trust not only with Martina but also with her caregiver.

Individualized approach: Recognizing Martina's autistic disorder, the nurse should tailor their approach to her specific needs. Understanding her sensory sensitivities and preferences can help create a safe and comfortable environment.

By implementing these strategies, the nurse can foster trust and a positive therapeutic relationship with Martina, promoting her overall well-being and care.

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Complete Question:

What approach would help the nurse establish a trusting relationship with Martina, a 3-year-old with bronchitis and autistic disorder, who is intensely occupied with a blue stuffed dog and does not seem responsive to the nurse's presence in the room, while the mother is also present?

Answer:

Option (1).

Step-by-step explanation:

Amount of water hold by both the pitchers (Large + small) = 12 cups

Let the small pitcher holds the water = S cups

If the water hold by the large pitcher is twice the size of the small pitcher, then the amount of water hold by large pitcher = 2S

Total amount water hold by both = S + 2S

Equation for this situation will be,

S + 2S = 12

Therefore, Option (1) will be the answer.

No, this shape does not belong in a group of shapes that have more than one pair of perpendicular sides.

In order to determine if the shape belongs to a group of shapes with more than one pair of perpendicular sides, we need to examine the number of right angles in the shape.

A right angle is a 90-degree angle, and shapes with perpendicular sides have right angles at their intersections. By counting the number of right angles in the shape, we can determine if it has more than one pair of perpendicular sides.

If the shape has only one right angle, then it does not have more than one pair of perpendicular sides. But if it has two or more right angles, then it would belong to the group of shapes that have more than one pair of perpendicular sides.

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Therefore, the longest length of pencil that John can hide in the pencil holder is approximately 127.32 cm (rounded to two decimal places).

Given that John has a 100 cm³ pencil holder, the longest length of pencil he can hide in the pencil holder can be found by using the formula for the volume of a cylinder which is given by: V = πr²h where r is the radius of the cylinder and h is the height of the cylinder.The volume of a cylinder can also be expressed as V = lwh where l is the length of the cylinder, w is the width of the cylinder and h is the height of the cylinder.

If we assume that the pencil is cylindrical in shape, then its volume can be given by V = πr²l where r is the radius of the pencil and l is the length of the pencil.Since the volume of the pencil holder is given to be 100 cm³, then we have:100 = πr²h (Equation 1)

Now, we need to find the value of l that can fit inside the pencil holder. We can use the formula for the volume of the pencil to do this as follows:

V = πr²lLet V = 100 cm³ and

r = 0.5 cm

(since the pencil holder is cylindrical in shape, we can assume that it has a radius of 0.5 cm)Then, we have:100 = π(0.5)²lSolving for l, we get:

l = 100 / (π(0.5)²)

l = 100 / (0.7854)l ≈ 127.32 cm

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Answer:

72

Step-by-step explanation:

Answer: mmm when I did it it going to be the same answer because There are no like terms. Here look at the picture

Step-by-step explanation: hope this help

Answer:

1.77 ft.^2

Step-by-step explanation:

What we know: diameter of circle is 1.5

What we need: the radius to find the area of a circle

What we can do: Divide 1.5 by two to get the radius(since the diameter is twice the radius : radius x 2 = diameter)

Math -->  1.5 divide by 2 = .75

What we need to know: Formula of finding Area of Circle is  A=(pie)r^2

Insert what we know: A=(pie).75^2

Work out problem(do radius to the second power first)#1:  .75^2 =  .5625(unrounded)

Work out problem(multiply number by pie))#2: .5625 multiplied by (pie) = 1.7671458676442586966352369030947‬

Round Answer to nearest hundredth: 1.77 ft.

Note: I use the pie sign for this problem. So I used : 3.1415926535897932384626433832795‬

I used a scientific calculator for the calculations.

^2 is added after the unit to show Area.

To the second power  is multiplying the number by itself. Example: 4^2 = 16 = 4 x 4

The population of the average length in 2013 is (b) 4.08 minutes

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

The table of values

Using the least squares, we have the following summary

The regression equation is

y = mx + b

Where

m =  SP/SSX =  2.14/17.5 = 0.122

b = MY - bMX = 2.72 - (0.12*1.5) = 2.53867

So, we have

y = 0.12x + 2.54

In 2013, we have

y = 0.12 * 13 + 2.54

y = 4.1

Hence, the prediction is (b) 4.08 minutes

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Answer:c

Step-by-step explanation:Because there giving you a signal

Answer:

-5,0,1,2,3

Step-by-step explanation:

in a number line the negative numbers are always on your left hand side and as you head to the right they increase thus becoming positive integers

Answer:

alot

Step-by-step explanation:

Answer:

please make me brain

Step-by-step explanation:

option (3) is answer bro

The average rate of change of the equation is 7

The average rate of change of an equation can be determine by using the formula below:

average rate of change = (f(x₂)- f(x₁)) / [x₂- x₁]

From the given information, f(x) = 2x²-5x-2 and x₁ = 2, x₂ = 4

average rate of change =  ([2(4)²-5(4)-2] - ([2(2)²-5(2)-2]) / (4- 2)

average rate of change = (10-(-4)) / 2

average rate of change = 14/2

average rate of change = 7

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Answer:

\(3\frac{7}{8}\)

Step-by-step explanation:

Equation: 4 1/7 + 2 1/8 + x= 10 1/7

Convert into improper fractions:

29/7 + 17/8= 71/7

Add fractions

351/56+x= 71/7

Subtract on both sides

X= 31/8 or 3 7/8

The value of variable x is,

⇒ x = 42

We have to given that;

In a right triangle,

⇒ sin (x + 10)° = cos (4x - 4)°

Now, We can simplify as;

⇒ sin (x + 10)° = cos (4x - 4)°

⇒ cos (90 - (x + 10))° = cos (x - 4)°

⇒ 90 - (x + 10) = x - 4

⇒ 90 - x - 10 = x - 4

⇒ 80 + 4 = 2x

⇒ 2x = 84

⇒ x = 42

Thus, The value of variable x is,

⇒ x = 42

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Answer:

7.D

8.A

Step-by-step explanation:

For the function f(x) = √x+2+5:

(D) D= {x|x≥2}, R= {y|y≥5}

The domain is restricted to x values greater than or equal to 2 because the function contains the square root of x+2, which cannot be negative. The range starts at y = 5 because the lowest possible output of the function is √2+2+5 = 5.

(A) f(x)+∞o as x→ +∞o; f(x) +∞ as x――∞

As x approaches positive infinity, the output of the function approaches infinity as well. As x approaches negative infinity, the function is undefined since it involves taking the square root of negative numbers. However, the limit of the function as x approaches negative infinity from the right is positive infinity.

Answer:

Christopher Columbus, 18th century, beguine

Step-by-step explanation:

Answer:

Half of the students had 70 or 75%

Step-by-step explanation:

Answer:

y = x - 5

Step-by-step explanation:

Comparing the given y = x - 7 to y = mx + b, we see that the slope is +1.

In y = x + b we replace y with -11 and x with -6 to determine the y-intercept, b:

-11 = -6  + b

Then b must be -5, and so the desired new equation is

y = x - 5

The slowest time of the 40 yard dash is given by the equation A = 3.41 sec

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the slowest time be represented as A

Now , the equation will be

Let the total length of the yard = 40 yard dash

Let the fastest time be represented as F

The value of F = 4.58 seconds

The difference between the fastest and the slowest time = 1.17 seconds

Substituting the values in the equation , we get

Fastest time - slowest time = 1.17 seconds

So ,

4.58 - A = 1.17

On simplifying the equation , we get

Adding A on both sides of the equation , we get

A + 1.17 = 4.58

Subtracting 1.17 on both sides of the equation , we get

A = 4.58 - 1.17

A = 3.41 seconds

Therefore , the value of A is 3.41 seconds

Hence , the equation is A = 3.41 seconds

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