In bowling, knocking down all of the pins with the first ball of a frame is called a strike. Roni is practicing bowling and gets a strike times out of attempts. Her goal is to have a minimum strike rate of . Which inequality could Roni use to determine the minimum number of consecutive strikes she needs to achieve her goal?

Answer:

38°

Step-by-step explanation:

Every triangle has 180°. This means that all the angles must sum 180°.

\((3x-16)+(x+6)+x=180\\3x-16+x+6+x=180\\5x-10=180\\5x=180+10\\5x=190\\x=\frac{190}{5}\\x=38\)

To calculate the process capability ratio (Cp), we use the formula:

Cp = (USL - LSL) / (6  σ)

Where:

USL = Upper Specification Limit

LSL = Lower Specification Limit

σ = Standard Deviation

Given:

Upper Specification Limit (USL) = 2,200 hours

Lower Specification Limit (LSL) = 1,500 hours

Standard Deviation (σ) = 80 hours

Calculating Cp:

Cp = (2,200 - 1,500) / (6  80)

Cp = 700 / 480

Cp = 1.46 (rounded to two decimal places)

The process capability ratio (Cp) is approximately 1.46.

To determine if the process is capable of producing chips within the specified limits, we need to compare Cp to the desired threshold. Generally, a Cp value greater than 1 indicates that the process is capable of meeting the specifications.

In this case, the Cp value is 1.46, which is greater than 1, so we can say that the process is capable of producing chips to the design specifications.

Now, let's calculate the process capability index (Cpk). The formula for Cpk is as follows:

Cpk = min[(USL - μ) / (3  σ), (μ - LSL) / (3  σ)]

Where:

μ = Mean (average life of the chips)

Given:

Mean (μ) = 1,600 hours

Standard Deviation (σ) = 80 hours

Upper Specification Limit (USL) = 2,200 hours

Lower Specification Limit (LSL) = 1,500 hours

Calculating Cpk:

Cpk = min[(2,200 - 1,600) / (3  80), (1,600 - 1,500) / (3  80)]

Cpk = min[600 / 240, 100 / 240]

Cpk = min[2.5, 0.42]

Cpk ≈ 0.42 (rounded to two decimal places)

The process capability index (Cpk) is approximately 0.42.

Since Cpk is less than 1, it indicates that the process is not capable of meeting the specification limits adequately. Therefore, we can conclude that the process does not meet the specification requirements.

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Answer:

$45-$2.50xx

Step-by-step explanation:

Let first of all determine the original amount on the gift card as follows

amount utilized=$2.50*16=$40

balance left after utilizing $40=$5

original amount on the gift card=amount utilized+balance left=$40+$5=$45

if xx cups of coffee is purchased ,the amount utilized would be xx*$2.50

i.e $2.50xx

The equation for the amount left would total amount on the gift card minus the $2.50xx

equation for amount remaining =$45-$2.50xx

If the questioner has duplicated x,which means he or she meant just x

equation of the amount remaining would=$45-$2.50x

Answer:

y= -1.5x+2

Step-by-step explanation:

The probability of rolling an even number or a multiple of 3 is 3/4.

Probability determines the odds that a random event would happen. The probability the event takes place is 1 and the probability that the event does not happen is 0.

An even number is a number that is perfectly divisible by 2.

Probability of rolling an even number = number of sides that are even / total number of sides

Sides that are even = 2, 4, 6

Probability of rolling an even number = 3/6 = 1 / 2

Probability of rolling a multiple of 3 = number of sides that are multiples of 3  / total number of sides

Sides that are multiples of 3 = 3, 6

Probability of rolling a multiple of 3 = 2/6 = 1/2

The probability of event B or C = 1/4 + 1/2 = 3/4

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The definition and explanation of an equation are given below with an example.

in mathematics, an equation is defined as an expression that expresses equality between 2 quantities or expressions. We use equations quite a lot in our daily lives whenever we have to equate two quantities and find out how they are equal. These are used in all branches of science because of the huge purpose they serve.

in simple words it tells what we have on the Left-Hand Side of the "=" sign is the same as what we have on the right-hand side of the statement. Some examples of equations are-

E²=m²c⁴+p²c²

x²+3x-1=0

70 oranges= 7 oranges × 10 oranges

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P1 + P2 is a projection and that P1 P2 = P2 P1 = 0, we have thus established that P1 and P2 are equivalent.

To show that the projections P1 and P2 are equivalent given the conditions, we truly need to display that P1 + P2 is similarly a projection and that P1 ∘ P2 = P2 ∘ P1 = 0.

a) We should show that P1 + P2 has the properties of a projection to exhibit that it is a projection.

To start, that's what we note (P1 + P2)(P1 + P2) approaches P1P1, P1P2, P2P1, and P2P2.

Since P1P1 and P2P2 are projections, they are identical.

Additionally, because P1 and P2 are linear, P2P1 and P1P2 are linear transformations.

Therefore, (P1 + P2)(P1 + P2) = P1 + P1 + P2. To demonstrate that P1 + P2 is a projection, we require (P1 + P2)(P1 + P2) = P1 + P2.

Consequently, P1 + P1 + P2 = P1 + P2.

We achieve P1P2 + P2P1 = 0 by removing terms and reworking the equation.

b) In order to demonstrate that P1 P2 = P2 P1 = 0, we must demonstrate that the composition of P1 and P2 is the zero transformation.

First of all, since the formation of direct changes is also straight, we can see that P1  P2 is a straight change. P2 P1 is a comparable straight change.

We should show that for any vector v in V, (P1 P2)(v) = (P2 P1)(v) = 0. We will be able to demonstrate that P1 - P2 - P1 - 0 as a result of this.

If v is a vector access to V that is inconsistent, then (P1  P2)(v) equals P1 (P2(v)) and (P2  P1)(v) equals P2 (P1(v)).

Because P1 and P2 are projections, they are located in their respective fixed subspaces, which are invariant under the projections.

Since the two of them project any vector onto their individual fixed subspaces, P1(P2(v)) and P2(P1(v)) are both zero.

Consequently, we have shown that P1 + P2 = P2 P1 = 0.

By demonstrating that P1 + P2 is a projection and that P1 P2 = P2 P1 = 0, we have thus established that P1 and P2 are equivalent.

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The scaling property of the Fourier transforms states that if we scale the function g(t) by a constant factor c, then its Fourier transform G(jw) will be scaled by a factor of 1/|c| and shifted by a factor of c.

This property can be expressed mathematically as follows:

F{g(ct)} = ∫ g(ct) \(e^{(-jw t)}\) dt

Let u = ct, then du/dt = c, and dt = du/c

Substituting this in the above equation, we get:

F{g(ct)} = ∫ g(u) \(e^{(-jw u/c)}\) du/c

= (1/c) ∫ g(u) e^(-jw u/c) du

= G(jw/c) / |c|

Therefore, we can conclude that the Fourier transform of a scaled function is obtained by scaling the Fourier transform of the original function by a factor of 1/|c|. This property is useful in signal processing and communication systems where signals are often scaled before transmission or processing.

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The formulas and the equivalent formulas are

W = X - Y                                    X = W +Y

W = X/Z - Y                                 X = Z(W + Y)

W = (X - Y)/Z                               X = WZ+Y

W = XY                                       X =W/Y

To do this, we simply make X the subject of the formula in expressions on the left.

So, we have:

W = X - Y

This gives

X = W + Y

W = X/Z - Y

This gives

X/Z = W + Y

X = Z(W + Y)

W = (X - Y)/Z

This gives

X - Y = WZ

X = WZ + Y

W = XY

This gives

X =W/Y

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Complete question

Match each formula on the left with an equivalent formula on the right.

W = X - Y                                     X =W/Y

W = X/Z - Y                                 X = Z(W + Y)

W = (X - Y)/Z                               X = WZ+Y

W = XY                                       X = W +Y

Answer:

\( \frac{ {y}^{2} }{4 {x}^{5} } \)

Answer:

i think its a or d

Step-by-step explanation:

Answer:

2a(3a + 8)

Step-by-step explanation:

Combine like terms

6a2 + 15 + a

6a2 + 16a

The perimeter of the inside of the track is approximately 354.36 meters.

What is the circumference?

In geometry, the circumference is the perimeter of a circle or ellipse.

To find the perimeter of the inside of the track, we need to find the length of the inside edge of the track and add it to twice the length of the semicircles at each end.

The inside edge of the track is formed by two parallel lines, each offset by a distance of 56 m from the outer edge. The length of this edge is equal to the length of the long straight edge minus twice the offset distance:

length of inside edge = 130 m - 2(56 m)

length of inside edge = 18 m

The length of each semicircle at each end is equal to half the circumference of a full circle with a radius equal to the width of the track (56 m). Therefore, the length of both semicircles is:

2 x (1/2 x 2π x 56 m) = 2π x 56 m

Adding the length of the inside edge to twice the length of the semicircles, we get:

perimeter of inside track = 18 m + 2π x 56 m

perimeter of inside track = 18 m + 112π m

the perimeter of the inside track ≈ 354.36 m (rounded to two decimal places)

Hence, the perimeter of the inside of the track is approximately 354.36 meters.

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The required correct statement is: D. There are 4 faces and 12 vertices.

A pyramid is a structure whose triangular outer surfaces converge to a single step at the top, giving it the appearance of a pyramid in a general sense. A pyramid's base can be triangular, quadrilateral, or any other polygonal shape. Thusly, a pyramid has no less than three external three-sided surfaces.

A pyramid typically has a polygonal base and triangular sides that converge at a single vertex, forming a point at the top. The base of the pyramid has faces, edges, and vertices, while the triangular sides only have edges and vertices.

In this case, the correct statement is:

D. There are 4 faces and 12 vertices.

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MEAN: =29.42

THE MEDIAN:

\((29 + 36) \times \frac{1}{2} = 32.5\)

that's my answer hope it helps

Answer:

46878954575

Step-by-step explanation:

Since there are six potential combinations and each has an equal chance of being picked, each result has a probability of 1/6, or around 0.167.

The likelihood that an event will occur or that a proposition is true is determined by a field of mathematics known as probability theory. An event's probability is expressed as a number between 0 and 1, where 1 indicates certainty and roughly 0 indicates how likely it is that the event will occur. A probability is a numerical expression of the likelihood or potentiality of a given event. Probabilities can alternatively be stated as integers between 0 and 1, percentages between 0% and 100%, or as percentages between 0% and 100%. the fraction of times that all equally probable alternatives occur compared to all potential outcomes.

The probability model includes 6 possible outcomes, and each one has an exact chance of 0.167, or 1/6. List all potential pairs of fruit bars that demonstrate this:

berries and apples

cherries and apples

Apple and pears, berries and cherries, pears and apples

Since there are six potential combinations and each has an equal chance of being picked, each result has a probability of 1/6, or around 0.167.

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The mathematical average of the number of feet in a yard, seconds in a minutes and months in a year is 25.

In Mathematics and Geometry, the arithmetic average for any data set can be calculated by using the following formula:

Arithmetic average = [∑(x)]/n

Generally speaking, we have the following standard parameters;

∑(x) = 3 + 60 + 12

∑(x) = 75

Now, we can determine the arithmetic average as follows;

Arithmetic average = 75/3

Arithmetic average = 25.

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Answer:

(0, -2)

Step-by-step explanation:

The slope equation is written as y = mx + b where m is the slope and b is the y-intercept. In this equation the slope, which is m, is -2/3 and the y-intercept is -2, which is the value of b. So the y-intercept on the graph would be found at point (0, -2)

Let y = mx +b, where m is the slope of the equation and b is the y-intercept.

So from the equation \(y=-\frac{2}{3}x-2\) You'd find the y-intercept at (0,2). Alternative way, you can find the y-intercept by substituting x = 0 so -2x/3 will be 0 because x = 0 and -2x(0)/3 = 0-2 = -2.

So from the y = mx + b, you would find the y-intercept at (0,b)

Answer:

16

Step-by-step explanation:

area of square = side * side

side = 4u

so area = 4*4 = 16 units

Answer:

16

Step-by-step explanation:

4x4=16

hope that helps

please mark as brainliest if correct

thank you

have a great day/night

Answer: 0.75j or 3/4j

Step-by-step explanation:

Step-by-step explanation:

we have 28 students in total.

9 do not play any instrument.

that means 19 students play at least one instrument.

12 play only the flute.

6 play only the piano.

that is 12+6 = 18 together.

but we have 19 players.

so, 1 student must play both, the flute and the piano.

remember, a probability is always

desired cases / possible cases

when we are looking for the students that play both instruments, we have only 1 out of the possible 28 cases.

and the probabilty to pick this student randomly is

1/28 = 0.035714286...

Answer:

106 in²

Step-by-step explanation:

Given that :

Davindra made a paper box that is 8 in. Long, 5 in. Wide, and 1 in. High.

Using the relation :

SA=2lw+2lh+2hw

Surface area :

2(lw + lh + hw)

l = 8 ; w = 5 ; h = 1

Surface area :

2(8*5 + 8*1 + 1*5)

Surface area :

2(40 + 8 + 5)

= 2(53)

= 106 in²

Answer: \(y=3\)

Step-by-step explanation:

The intersection point of the graphs is the solution. So, you need to find the \(y\)-coordinate of the intersection point.

Answer:

Q'(-2 , 5)

Step-by-step explanation:

Note that:

1) When you are reflecting over the x-axis, you are changing the sign for the y.

2) When you are reflecting over the y-axis, you are changing the sign for the x.

In this case, you are reflecting over the y-axis. Change the sign of the x:

Q(2 , 5) ⇒ Q'(-2 , 5)

Q'(-2 , 5) is your answer.

~

Option B. ($99,242.00, $100,758.01)

a) For n - 1 = 49 degrees of freedom, we have form t distribution tables:

P( t < 2.010) = 0.975

Therefore, P(-2.010 < t < 2.010) = 0.95

Therefore the confidence interval here is obtained as:

X +₋ t 8/√ⁿ

100 \pm 2.010*\frac{2}{\sqrt{50}}

100 \pm 0.5685

(99431.61, 100568.39)

Therefore A is the correct interval here.

Q2) From t distribution tables, we have here:

P(-2.680 < t < 2.680) = 0.99

Therefore the confidence interval here is obtained as:

100 \pm 2.010*\frac{2}{\sqrt{50}}

100 \pm 0.7580

(99242, 100785)

1) A university wants to determine the average salary of its graduating computer science majors. The university asks the graduating classes of 50 students to share their starting salaries when hired. The 50 students had an average salary of $100,000 with a standard deviation of $2,000. Find a 95% confidence interval for the average starting salary of computer science majors from the university.

a - ($99,431.61, $100,568.39)

b - ($99,445.64, $100,554.36)

c- ($99,982.26, $100,017.74)

d - The salaries are not normally distributed so we cannot compute a confidence interval

2) Find a 99% confidence interval for the previous problem.

a - ($99,271.44, $100,728.56)

b - ($99,242.00, $100,758.01)

c - ($99,996.46, $100,003.55)

d - The salaries are not normally distributed so we cannot compute a confidence interval

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Step-by-step explanation:

the easiest approach seems to be the law of sines :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and the angles are always opposite of each other.

we have here a right-angled triangle, so the angle opposite of 10 is 90 degrees.

10/sin(90) = 10/1 = 10 = y/sin(37)

y = 10×sin(37) = 6.018150232 ≈ 6.0

Answer:

$200

Step-by-step explanation:

30 * 5=150 +50=200

The probability that the sixth child will be a son is 50%. Each child, regardless of gender, has an equal chance of being born.

P(son) = (5 choose 6) x (0.5^6) = 0.015625

Therefore, the probability of having a son as the sixth child can be calculated using the binomial formula as follows: P(son) = (5 choose 6) x (0.5^6) = 0.015625.

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