Rivet holes are punched in steel beams. To ensure that the rivets will fit and that the joint will have adequate strength, it is necessary to control the standard deviation o the diameter, and measurements are made periodically. Ten measurements are made of nominally 1-inch-diameter holes, and the standard deviation is found to be 0.002 inches. What is the 95% confidence interval on the standard deviation? Required – confidence interval in the standard deviation → Chi-squared distribution. S = 0,002 in., n = 10,  = n – 1 = 9. 95% confidence level:  = 1-0.95 = 0.05.

Answer:

a = 0.9

Step-by-step explanation:

For the quadratic equation \(\boxed{ax^2 + bx + c = 0}\) to have exactly one real root, the value of its discriminant, \(\boxed{b^2 - 4ac}\), must be zero.

For the given equation:

\(y = ax^2 - 6x + 10\),

• a = a

• b = -6

• c = 10.

Substituting these values into the formula for discriminant, we get:

\((-6)^2 - 4(a)(10) = 0\)

⇒ \(36 - 40a = 0\)

⇒ \(36 = 40a\)

⇒ \(a = \frac{36}{40}\)

⇒ \(a = \bf 0.9\)

Therefore the value of a is 0.9 when the given quadratic has exactly one root.

One angle measure provided (27 degrees), to determine the lengths of the sides or the measures of the other Angles.

The triangle, we need more information about the triangle, such as the lengths of the sides or the measures of other angles. The given information, "27 degrees," only specifies one angle of the triangle, but it is not sufficient to solve the triangle completely.

To solve a triangle, we typically need at least three pieces of information, which can include side lengths, angle measures, or a combination of both. With only one angle measure provided (27 degrees), we are unable to determine the lengths of the sides or the measures of the other angles.

To fully solve the triangle, we would need additional information such as the lengths of the sides or measures of at least two more angles. Without this additional information, it is not possible to provide a complete solution or determine the lengths of the sides or the measures of the other angles in the triangle.

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Answer:

15 3/4 ÷13/4

/1. 1+3×4= 36/2

The size of angle BAC is approximately 19.88 degrees where ABC is a right angle triangle.

A triangle is a polygon with three sides and three angles. It is a simple closed shape, and one of the basic shapes in geometry.

To calculate the size of angle BAC, we can use the trigonometric ratio of the opposite side to the hypotenuse, which is sine:

sin(BAC) = opposite/hypotenuse

sin(BAC) = BC/AC

sin(BAC) = 7.9/23.1

Now, we can use a calculator to find the inverse sine of this value:

BAC = sin^(-1)(7.9/23.1)

BAC ≈ 19.88 degrees

Therefore, the size of angle BAC is approximately 19.88 degrees.

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The complete question is ABC is a right angle triangle BC=7.9, AC=23.1 and right angle at B. Calculate the size of BAC.​

Answer:

Measure of angle b is 42 degrees

Step-by-step explanation:

Since angle b is part of a right angle, we can see that part of the right and blue is 48 degrees, and the other part is b. So, we can do 90-48 to get 42 degrees.

Answer:

42

Step-by-step explanation:

since one of the lines for angle b makes a 90° angle all you have to do is subtract 48 from 90 and that is your answer

This table shows the frequency of each number obtained after throwing the die 35 times

To prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.

Numbers: 1, 2, 3, 4, 5, 6

Frequency: 5, 14, 6, 4, 5, 1

Based on the given numbers, the frequency table would look like this:

Number   | Frequency

1                      5

2                     14

3                      6

4                      4

5                      5

6                       1

This table shows the frequency of each number obtained after throwing the die 35 times.

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\(\\ \sf\longmapsto b^2=-169\)

\(\\ \sf\longmapsto b=\sqrt{-169}\)

\(\\ \sf\longmapsto b=\sqrt{-(13)^2}\)

\(\\ \sf\longmapsto b=13i\)

Answer:-13

Step-by-step explanation:

I think the answers 3048_&8_9_)_)_

Question:

(9-84÷2×5+5+6)+2

Solution:

Remember the order of operations:

1. Parenthesis.

2. Multiplication.

3. Division.

4. Adition.

5. Subtraction.

So, keeping this in mind we have:

then, we can conclude that the correct answer is

Answer:

3:20

Step-by-step explanation:

6000:40,000

find HCF (2000)

divide both sides by 2000

3:20

Answer:

22 on each tray

Step-by-step explanation:

88/4=22

Hope this helped :)

Total tacos=88

Total trays=4

Tacos on each

Answer:

y = 0.07n + 0.2

Step-by-step explanation:

y = mx + b

m: slope → amount cost is increasing

b: y-intercept → the cost at 0 minutes

cost is increasing by (m): 0.07 cost increase by minute

Time at 5 minutes + the amount cost increase = Time at 5 minutes

0.55 + m = 0.62

-0.55           -0.55         m = 0.07

Time at 6 minutes + the amount cost increase = Time at 5 minutes

0.62 + m = 0.69

-0.62          -0.62         m = 0.07

....and so on

the cost at 0 minutes (b): 0.2 is the cost at 0 minute (start)

cost at n minutes

= cost is increasing by (m) x n of minutes + cost at 0 minutes (b)

cost at 5 minutes

= cost is increasing by (m) x 5 minutes + cost at 0 minutes (b)

0.55 = 0.07 x (5) + b

 0.55 = 0.35 + b

- 035   - 035

b = 0.2

Answer:

C

Step-by-step explanation:

These pairs are both interior angles and are consecutive because they are divided by a transversal.

Answer:

Let's assume that the total number of students in the school is "x". We can create a proportion to estimate how many students would choose the aquarium based on the given information:

Number of students who chose aquarium / Total number of students in the school = Percentage of students who chose aquarium / 100

We can plug in the values we know:

80 / x = p / 100

where "p" is the percentage of students who would choose the aquarium if the entire school were surveyed.

We can solve for "x" by cross-multiplying and simplifying:

8000 = px

x = 8000 / p

Now, we need to estimate the value of "p". We can do this by finding the average percentage of students who chose the aquarium, science center, planetarium, and farm:

(80 + 60 + 30 + 40) / x = (210 / x) = Average percentage of students who chose an attraction

This tells us that, on average, 210 out of every "x" students would choose one of the attractions. We can estimate that a similar percentage of the entire school would choose the aquarium:

p / 100 = 80 / 210

p = 38.1

So, we can estimate that approximately 38.1% of the students in the whole school would choose the aquarium. To find the estimated number of students who would choose the aquarium, we can plug in this value for "p" in our original proportion:

80 / x = 38.1 / 100

Cross-multiplying and solving for "x", we get:

x = 209.71

Rounding to the nearest whole number, we can estimate that approximately 210 students in the whole school would choose the aquarium.

Step-by-step explanation:

Answer:

The teacher surveyed a total of:

80 + 60 + 30 + 40 = 210 students.

If we assume that the sample of 210 students surveyed is representative of the entire population of 1000 students at Lake Middle School, we can use the relative frequency of students choosing the aquarium in the sample to estimate the number of students in the whole school who would choose the aquarium.

The relative frequency of students choosing the aquarium in the sample is:

80/210 = 0.38

This means that approximately 38% of the students in the sample chose the aquarium.

To estimate the number of students in the whole school who would choose the aquarium, we can multiply the relative frequency by the total number of students at the school:

0.38 x 1000 = 380

Therefore, the teacher can estimate that approximately 380 students out of 1000 at Lake Middle School would choose the aquarium for a field trip.

Answer:

B: 24ft^2

Step-by-step explanation:

Area of triangle = (base x height)/2

Step 1: form an equation

a = (12ft x 4ft)/2

Step 2: solve equation

a = 48ft^2 / 2

a = 24ft^2

*the base is the measurement for the bottom of a triangle while height is the measurement of the length from the bottom to the top of a triangle*

The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.

To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given:

Slope (m) = 8

Y-intercept (0, 9)

We can substitute these values into the slope-intercept form:

y = mx + b

y = 8x + 9

Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).

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Answer:

b = 9

Step-by-step explanation:

Hello, once again.

Perpendicular lines have negative reciprocal slopes.

The slope would be -2.

Plug the y and x values in.

y = -2x + b

5 = -2(-2) + b

5 = -4 + b

b = 9

Answer:

0.5

Step-by-step explanation:

5.6-2.8=2.8

2.8-2.3=0.5

Answer:

0.5

Step-by-step explanation:

5.6+(-2.8)+(-2.3)

____________

0.5

Answer: it’s =

i just got the test results

Answer:

greater than

Step-by-step explanation:

The standard deviation of a distribution σ = \(\sqrt{sum(x - mean)^2/ n}\)

where x is the score of each student

Adding 5 to 10 student scores would be = x+5 - mean

increasing the scores of the 10 students by 5, which in turn increases the standard deviation of the distribution.

Answer:

y=6x

Step-by-step explanation:

The slope-intercept form is y=mx+b. m in the equation represents the slope, which is 6 and b in the equation represents the y-intercept, 0. Everytime there's an equation with 0 as y-intercept, you don't have to write the equation like this: y=6x+0 but like this is better: y=6x.

Answer:

Question 1:

A) Parallelogram

B) Right Angled Triangle

Question 2:

Using parallelogram to use properties of parallel lines. To find whether a quadrilateral is parallelogram, first we will write it's coordinates. After writing coordinates, we find slope of each line by slope formula. After this , we compare the slope of equal lines through which we come to know whether they are parallel to eachother or not. After that, if two pairs of lines are parallel, then the given quadrilateral is a parallelogram.

When P and Q are combined, they will be completely contained in the plane if P and Q are already inside the plane. PQ would therefore be totally in the aircraft.

A plane may contain a number of points. A plane is carrying P and Q. A two-dimensional figure that never ends, the plane. It implies that there is no end. It has a level surface. If we draw a line to join the two points P and Q, the line will also be in the same plane. since the plane never comes to an end.

Collinear points are a group of points that all lie on the same line.The right response to this question is that a segment is a finite portion of a line connecting two locations, including its two ends.Coplanar points are groups of at least four points that all lie on the same plane. Keep in mind that given any two points, they are always coplanar, as are given any three points.

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Answer: 25/8

Step-by-step explanation:

\(\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}\)

Change 3+1/8 to an improper fraction.

\(\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\)

First, multiply the whole part (3) times the denominator (8):-

\(\bold{3\times8=24}\)

Now add the numerator:-

\(\bold{25}\)

That's the numerator of the improper fraction, and the denominator stays the same.

\(\bigstar\) Therefore, the fraction is

\(\bold{\dfrac{25}{24}}\)

\(\rule{300}{1}\)

It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.

In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

The graph is attached below.

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To find the amount owed by the business, we proceed as follows:

-Step 1: We multiply the invoice amount by the percentage discount

Thus, $642.8

- Step 2: We then subtract the value obtained in the step above from the invoice amount

Therefore, the business owed $12,213.20

Answer:

5 people

Step-by-step explanation:

40/7=5.71

Thats not enough for 6 people so you go down to 5 people, you can't have 5.71 of someone