The following data are the joint temperatures of the O-rings (°F) for each test firing or actual launch of the space shuttle rocket motor (from Presidential Commission on the Space Shuttle Challenger Accident, Vol. 1, pp. 129-131): 83 46 61 40 83 67 45 66 70 69 80 58 68 60 67 72 73 70 57 63 70 78 52 67 53 67 75 61 70 81 76 79 75 76 58 31 Round your answers to 2 decimal places (e.g. 98.76). (a) Using the entire data, calculate the sample mean and sample standard deviation. Sample mean = Sample standard deviation = (b) Remove the smallest observation (31°F) and calculate the sample mean and sample standard deviation of the remaining data. Sample mean = Sample standard deviation = (c) With the smallest observation removed: the sample mean and the sample standard deviation Statistical Tables and Charts

After scoring 77, 87, and 74 on her previous three tests, Amy needs to score 66 on her next test in order to have an average of 76.

To find the score that Amy needs on her next test to have an average of 76, we need to use the formula for the mean of a set of numbers:
Mean = (Sum of all numbers) / (Total number of numbers)

We know that Amy's current scores are 77, 87, and 74, and we want her average to be 76. Let's call the score she needs on her next test "x".
So, we can plug these values into the formula:
76 = (77 + 87 + 74 + x) / 4

Now, we just need to solve for x:
76 * 4 = 77 + 87 + 74 + x
304 = 238 + x
x = 304 - 238
x = 66

So, Amy needs to score a 66 on her next test in order to have an average of 76.

Here to learn more about Mean at the link https://brainly.com/question/1136789

#SPJ11

Answer:

Step-by-step explanation:

4x+y=-18

4x+8y=-32

Subtracting the equations we get

-7y = 14

y=-2

4x+(-2)=-18

4x = -18+2

4x=-16

x=-4

Answer:

$28.13

Step-by-step explanation:

english: 6.25% of $450

math: (6.25/100) x 450 = 0.0625x450 = 28.125 = 28.13, rounded

Answer: A

Step-by-step explanation:

When you reflect over the Y axis you do (-x,y)

And so (-3,4) = (3,4)

Answer/Step-by-step explanation:

10. <1 and <8 are congruent.

Reason/classification: alternate exterior angles

11. <5 and <6 are supplementary.

Reason/classification: linear pair

12. <6 and <8 are congruent.

Reason/classification: corresponding angles

13. <2 and <3 are supplementary.

Reason/classification: same side interior angles

14. <4 and <7 are congruent.

Reason/classification: vertical angles

15. <3 and <6 are congruent.

Reason/classification: alternate interior angles

Answer:

drake saved up $150

Step-by-step explanation:

Answer:

125- 50=75, 75+75=150 so he saved $150

Answer:

Step-by-step explanation:

The area formula for a parallelogram is the same as the area formula for a rectangle or square. A = bh.

Our base is 5 1/4 and the height, which drops perpendicular to the base, is 4 1/5.  So the formula for the area is

\(A=(4\frac{1}{5})(5\frac{1}{4})\)

Choice D

Solution

For this case we can find the area like this:

Then we can find the cost per each square inch like this:

Part b

For this case we can do this:

Sorry for bad handwriting

if i was helpful Brainliests my answer ^_^

Answer:66/12

Step-by-step explanation:

12 inches is one foot, so 66/12, also 66/12=5.5 feet

The value of a + c in the equation is -5

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

y = ax² + 5x + c

x- intercepts at 1 and 3

This means that

When x = 1 and 3, the value of y is 0

So, we have

When x = 1:

a(1)² + 5(1) + c = 0

a + 5 + c = 0

a + c = -5

When x = 3:

a(3)² + 5(3) + c = 0

9a + 15 + c = 0

9a + c = -15

So, we have

a + c = -5

9a + c = -15

Hence, the value of a + c is -5

Read more about quadratic equation at

https://brainly.com/question/1214333

#SPJ1

Answer:

2 Nd is in order from least to grater

Answer: \((\frac{\sqrt{3} }{2} ,-\frac{1}{2} )\)

Step-by-step explanation:

this forms a 30 degree reference angle

and this is in the 4th quadrant

When the angle is 30 degrees, the coordinates are:

\((\frac{\sqrt{3} }{2} ,-\frac{1}{2} )\)

The coordinates of the point on the unit circle will be ((√3) / 2, - 1/2).

The polar coordinate system in geometry is a two-dimensional latitude and longitude that uses the distance from a reference point and the angle from an optical axis are used to identify each point's location on a plane. This polar axis is the ray emanating from the pole in the direction of the point of comparison, which is referred to as the pole.

The cartesian coordinate is (x, y) and polar coordinate is (r, θ). Then the relation is given as,

x = r cos θ

y = r sin θ

The angle is 330° and the radius is one. Then we have

x = 1 x cos 330°

x = (√3) / 2

y = 1 x sin 330°

y = - 1/2

The coordinates of the point on the unit circle will be ((√3) / 2, - 1/2).

More about the polar coordinate to a cartesian coordinate link is given below.

https://brainly.com/question/13333610

#SPJ2

Answer:

Y(0, - 14 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ \(\frac{1}{2}\) (x₁ + x₂ ), \(\frac{1}{2}\) (y₁ + y₂ ) ]

Use the midpoint formula and equate corresponding parts to the coordinates of the given midpoint

let Y = (x, y ), then

\(\frac{1}{2}\) (4 + x) = 2 ( multiply both sides by 2 )

4 + x = 4 ( subtract 4 from both sides )

x = 0

and

\(\frac{1}{2}\) (4 + y ) = - 5 ( multiply both sides by 2 )

4 + y = - 10 ( subtract 4 from both sides )

y = - 14

Thus

coordinates of Y = (0, - 14 )

Answer:

12 units

Step-by-step explanation:

The lactus rectum for a parabola is equal to 4 times the length of the focus from the vertex. Therefore, we need to determine the focus \((h+p,k)\) by using the equation \((y-k)^2=4p(x-h)\) for a vertical parabola.

We can deduce that \(k=-3\), \(h=1\), and \(p=3\). Therefore, the focus of the parabola is \((1+3,-3)\) or \((4,-3)\).

Because the focus is \((4,-3)\), then it is 3 units away from the vertex \((4,0)\), making the length of the latus rectum 3*4=12 units.

Answer:

y = 2/3 x - 7

Step-by-step explanation:

y = mx + b

y = 2/3 x + b

-1 = 2/3 × 9 + b

-1 = 6 + b

b = -7

y = 2/3 x - 7

Answer:

y = 2x-17

Step-by-step explanation:

We have a point and a slope, we can write the equation in point slope form and then convert to slope intercept form

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point

y-1 = 2(x-9)

Distribute

y-1=2x-18

Add 1 to each side

y-1+1 = 2x-18+1

y = 2x-17

This is slope intercept form

Step-by-step explanation:

According to survey data, approximately 90% of recruiters review the social profile of a candidate for a job.

This means that the majority of recruiters, about 90%, look at the social media accounts of potential candidates.

To know more about recruiters refer here:

https://brainly.com/question/31448793

#SPJ11

The provider has prescribed ibuprofen 800 mg po tid. the unit dose is 400 mg tablets.6 tablets will be administered to the client.

To calculate the number of tablets that will be administered to the client when the provider has prescribed ibuprofen 800 mg po tid and the unit dose is 400 mg tablets, the following steps can be used:

Step 1: Determine the total daily dose

To determine the total daily dose, the 800 mg dose prescribed three times daily can be added up.

800 mg + 800 mg + 800 mg = 2400 mg/day

Step 2: Calculate the number of tablets needed to achieve the daily dose

The total daily dose can be divided by the strength of the tablet to determine the number of tablets needed to achieve the daily dose.

2400 mg/day ÷ 400 mg/tablet = 6 tablets/day

Therefore, 6 tablets will be administered to the client.

for such more question on administer

https://brainly.com/question/24644930

#SPJ11

Answer:

x = -48

Step-by-step explanation:

The equation is,

→ x/4 = -12

Let's solve for the value of x,

→ x/4 = -12

→ x = -12 × 4

→ [ x = -48 ]

Hence, the value of x is -48.

Answer: 57

Step-by-step explanation: 86 + 37 = 123, then subract 123 from 180

Answer:

$2,790

Step-by-step explanation:

This is the concept of commercial arithmetic, the amount of tax calculated from $90,000 will be:

Rate*value

=31/1000*90000

=$2,790

the answer is $2,790

Answer:

28413.4 in (radius} = diameter divided by 2 = 47.7 divided by 2 =23.85

radius=  2

diameter

​ =  2

47.7

=23.85

Answer:

p=-5

Step-by-step explanation:

5p-3p=-2-8

2p=-10

p=-5

To estimate the conditional probabilities for Pr(A = 1|+), Pr(B = 1|+), and Pr(C = 1|+), we need to calculate the probabilities of each event occurring given that the class is positive (+).

Let's analyze the given data and calculate the conditional probabilities:

Out of the 8 instances provided, there are 4 instances where the class is positive (+). Let's denote these instances as +1, +2, +5, and +6.

For Pr(A = 1|+), we calculate the proportion of instances among the positive class where A = 1. Out of the four positive instances, +2 and +5 have A = 1. Therefore, Pr(A = 1|+) = 2/4 = 0.5.

For Pr(B = 1|+), we calculate the proportion of instances among the positive class where B = 1. Out of the four positive instances, +5 has B = 1. Therefore, Pr(B = 1|+) = 1/4 = 0.25.

For Pr(C = 1|+), we calculate the proportion of instances among the positive class where C = 1. Out of the four positive instances, +5 and +6 have C = 1. Therefore, Pr(C = 1|+) = 2/4 = 0.5.

To summarize:

- Pr(A = 1|+) = 0.5

- Pr(B = 1|+) = 0.25

- Pr(C = 1|+) = 0.5

It's important to note that these probabilities are estimated based on the given data. Depending on the context and the underlying distribution of the data, these probabilities might not be accurate representations in other scenarios.

For more such questions on  conditional probabilities.

https://brainly.com/question/10739947

#SPJ8

Answer: Each can of soda costed $1.50

Step-by-step explanation:

The total cost was $8

Xavier's bought 4 snacks; each $1.25

4 x 1.25 = $5

How much for 2 cans of soda?

Well we know how much the snacks were ($5) and the total cost was $8, so the 2 cans costed $3 because 5 + 3 = 8. But how much did each can cost? Each can costed $1.50 because if the 2 cans costed $3, and we wanted to know how much 2 costed, we would have to divide 3 by 2 which is 1.50. So each can costed $1.50

Answer:

The distance traveled by bus is 33.96 km

Step-by-step explanation:

distance between two cities, d = 36 km = 36,000 m

distance traveled by leg by Jaya = 2 km 40 m = 2000 m + 40 m = 2040 m

The distance traveled by bus is given by the difference between the total distnace and the distance traveled by leg;

distance by bus = 36,000 m - 2040 m

distance by bus =  33960 m = 33.96 km

Therefore, the distance traveled by bus is 33.96 km

No, col a cannot be equal to ℝ^5 because col a represents the column space of the matrix A, which is the span of the columns of A. Since A has only five pivot columns, the dimension of col a is at most 5. Therefore, col a is a subspace of ℝ^5 or a lower-dimensional subspace of ℝ^5, but it cannot be equal to ℝ^5 itself.

To see why, consider the fact that the columns of A can be interpreted as vectors in ℝ^7, since A is a 7×11 matrix. The column space of A is the set of all linear combinations of these column vectors. If col a were equal to ℝ^5, this would mean that the five pivot columns of A span all of ℝ^5, which is not possible since there are only five pivot columns and the dimension of ℝ^5 is 5.

Therefore, col a is a subspace of ℝ^5 or a lower-dimensional subspace of ℝ^5, but it cannot be equal to ℝ^5 itself.

To know more about matrix , refer here :

https://brainly.com/question/9967572#

#SPJ11

Absolute humidity in conjunction with other factors, such as relative humidity and dew point temperature, can help provide a comprehensive understanding of the atmospheric conditions and their implications.

The term you are looking for is "absolute humidity." Absolute humidity is the mass of water vapor in a given amount of air expressed in grams per cubic meter (g/m3). This measurement represents the actual amount of moisture present in the air, regardless of the temperature or pressure. It is essential to understand and monitor absolute humidity for various applications, such as meteorology, environmental studies, and indoor air quality management. In contrast to relative humidity, which describes the percentage of moisture in the air compared to the maximum amount it can hold at a given temperature, absolute humidity provides a more accurate and direct representation of the water vapor content in the air. By measuring absolute humidity, scientists and professionals can better assess and predict weather patterns, manage heating, ventilation, and air conditioning (HVAC) systems, and ensure optimal conditions for health and comfort. It is important to note that absolute humidity can change as air temperature and pressure change, even if the amount of water vapor remains constant. This is because the air's capacity to hold water vapor depends on its temperature and pressure.

Learn more about humidity here

https://brainly.com/question/1129115

#SPJ11