37. according to our textbook, one of the primary areas where tqm is having a big impact is:

Answer: The two specific conjectures are in the first image, and the two general conjectures are in the second image.

The parachutist started the free fall at a height of 68.12 meters above the ground.(b) The height at which the fall begins is 68.12 meters. The units of height are meters.

Given parameters: Initial velocity (u) = 0 m/s

           Final velocity (v) = 2.8 m/s

           Initial height (h) = ?

           Final height (s) = 65 m

Acceleration (a) = 2.4 m/s²Time taken (t) = ?

The formula for calculating the time taken in a free fall with an initial velocity is given by;

                                   v = u + at

Wherev = final velocityu = initial velocity

                       a = accelerationt = time taken

Rearranging the formula to get the time taken;

                       => t = (v - u) / a=> t = (2.8 - 0) / 2.4=> t = 1.17 seconds

(a) The parachutist is in the air for 1.17 seconds.

Since the parachutist starts from rest at a height (h) above the ground, her final velocity can be calculated using the formula;

                                 v² = u² + 2asWherev = final velocityu = initial velocitya = acceleration due to gravitys = height fallen

Rearranging the formula to get the initial height (h)

                                          ;=> h = s - u² / 2a

                                            => h = 65 - 0² / 2(2.4)

                                            => h = 68.12 meters (approx)

Therefore, the parachutist started the free fall at a height of 68.12 meters above the ground.(b) The height at which the fall begins is 68.12 meters. The units of height are meters.

Therefore, the answer in (a) is 1.17 seconds (s), while the answer in (b) is 68.12 meters (m).

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the answer is: 1,2,3

the inequality represents less than, meaning the value of z is less than 4

which leaves us with 3 numbers, 1, 2 and 3

Answer:

(-4,-9)

Step-by-step explanation:

vertex form: y=a(x-h)^2+k

hk=vertex of x and y

inside parentheses=horizontal (opposite signs)

that’s why it’s -4 instead of 4 for h (x) while -9 stays the same since it’s not inside the parentheses

\(5x-6-x=2x+2\\\\5x-x-2x=2+6\\\\2x=8 \ \ /:2\\\\x=4\\\\\huge\boxed{\text{There is one solution at x=4}}\)

Answer:

There is one solution at x+4

Step-by-step explanation:

Answer:

Estimated 120 students

Step-by-step explanation:

Hi there!

The survey established that 3 out of the 75 students did not have social media accounts.

\(\displaystyle \frac{3}{75}\)

Let \(x\) be equal to the number of students in the entire school who does not have social media accounts.

\(\displaystyle\frac{x}{3000}\)

Create a proportion:

\(\displaystyle \frac{3}{75}=\displaystyle\frac{x}{3000}\)

Multiply both sides by 3000 to isolate \(x\):

\(\displaystyle \frac{3}{75}*3000=\displaystyle\frac{x}{3000}*3000\\\\\frac{9000}{75}=x\\\\120=x\)

Therefore, the number of students in the entire school who do not have social media accounts is estimated to be 120.

I hope this helps!

Answer:

111 / 190

Step-by-step explanation:

Let us first compute the probability of picking 2 of each sweet. Take liquorice as the first example. There are 12 / 20 liquorice now, but after picking 1 there will be 11 / 19 left. Thus the probability of getting two liquorice is demonstrated below;

\(12 / 20 * 11 / 19 = \frac{33}{95},\\Probability of Drawing 2 Liquorice = \frac{33}{95}\)

Apply this same concept to each of the other sweets;

\(5 / 20 * 4 / 19 = \frac{1}{19},\\Probability of Drawing 2 Mint Sweets = 1 / 19\\\\3 / 20 * 2 / 19 = \frac{3}{190},\\Probability of Drawing 2 Humbugs = 3 / 190\)

Now add these probabilities together to work out the probability of drawing 2 of the same sweets, and subtract this from 1 to get the probability of not drawing 2 of the same sweets;

\(33 / 95 + 1 / 19 + 3 / 190 = \frac{79}{190},\\1 - \frac{79}{190} = \frac{111}{190}\\\\\)

The probability that the two sweets will not be the same type of sweet =

111 / 190

The length of an edge of the cubical tank is approximately 9.41 cm.

To find the length of an edge of the cubical tank, we can use the given information.

We know that the water in the cubical tank was poured into an empty rectangular container until it was completely filled. Therefore, the volume of water in the rectangular container is equal to the volume of the cubical tank.

Let's assume that the length of an edge of the cubical tank is x cm. Since it is a cube, the volume of the cubical tank is x^3 cubic cm.

Now, let's calculate the volume of the rectangular container. We know that there were 788 cm of water left in the cubical tank. So, the volume of the rectangular container is 788 cubic cm.

Since the volume of the cubical tank is equal to the volume of the rectangular container, we have the equation: x^3 = 788.

To solve for x, we take the cube root of both sides of the equation: x = ∛788.

Calculating this, we find that x ≈ 9.41 cm.

Therefore, the length of an edge of the cubical tank is approximately 9.41 cm.

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Answer:

they are not congruent

Step-by-step explanation:

the markings and angle don't match up to the same sides. the answer is most likely f, not enough information.

Answer:

14.28%

Step-by-step explanation:

here's your solution

=> price of milk before = ₹28

=> price of milk after increasing = ₹32

=> increased in price = ₹32 - ₹28 = ₹4

=> now , increased percentage= 4/28*100

=> 14.28%

Answer: 4 1/4

Step-by-step explanation: Decimal= 4.25

Answer:

Exact form: 17/4

Decimal Form: 4.25

Mixed number form: 4 1/4

There are 11 cups in 5 1/2 pints. There are .5 pints in 1 cup, 11 cups would be 5 1/2 pints.

Answer:

-350/9 (improper fraction)

-38 8/9 (mixed number)

Step-by-step explanation:

Converting to improper fractions :

    2. -8 1/3

Multiplying them :

Answer:

\(-38 \frac{8}{9}\)

Step-by-step explanation:

\(3 \frac{5}{3} \times -8 \frac{1}{3}\)

Convert to improper fractions:

\(\implies \dfrac{3 \times 3 +5}{3} \times -\dfrac{8 \times 3 +1}{3}\)

\(\implies \dfrac{14}{3} \times -\dfrac{25}{3}\)

Multiply the numerators and denominators:

\(\implies \dfrac {14 \times (-25)}{3 \times 3}\)

\(\implies -\dfrac{350}{9}\)

Convert back into a mixed number:

\(\implies -38 \frac{8}{9}\)

Answer:

No i would not think it is because we need fear to stop us from doing something harmful

Step-by-step explanation:

Answer:

wrong subject, but I think it goes both ways. Fear is fundemental and is why we have survived so long, but fear can hurt you, because of phobias. I'm terrified of spiders, and some people are terrified of the outdoors. That can affect you in a big way.

The option that best describes this data set is option B: categorical and univariate.

Categorical data refers to data namely divided into distinct classifications or groups. In this case, the water usage dossier is divided into five categories established the sources of water habit in the household: toilet, washer, shower, dishwasher, and tap.

Therefore, the water usage basic document file is considered categorical as well as univariate, as it is divided into distinct classifications based on start of water usage and includes singular variable, that is water usage per day.

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Answer:

option B: categorial and univariate

Step-by-step explanation:

i took the test :)

hope this helps xx

Answer:

im pretty sure its pink

Step-by-step explanation:

To find the system of linear equations that describes this situation, we need to set up two equations based on the information given. the system of linear equations describing the situation is: {2n + 5c = 41

                                                                                                                                6n + 3c = 63}

Let's start with Lindsey's purchase:

2n + 5c = 41

This equation represents the total cost of Lindsey's purchase, where n represents the cost of one novel and c represents the cost of one comic.

Next, we can set up an equation for Priscilla's purchase:

6n + 3c = 63

This equation represents the total cost of Priscilla's purchase, where again n represents the cost of one novel and c represents the cost of one comic.

Therefore, the system of linear equations that describes the situation is:

2n + 5c = 41

6n + 3c = 63

We can solve this system of equations using various methods such as substitution, elimination, or matrices to find the cost of one novel and one comic. However, the solution is not necessary for the question posed.

To find the system of linear equations describing the situation, we can set up two equations based on the purchases of Lindsey and Priscilla:

Let n represent the price of one novel, and c represent the price of one comic.

According to the information given, Lindsey buys 2 novels and 5 comics for $41. This can be represented as:
2n + 5c = 41 (Equation 1)

Priscilla buys 3 comics and 6 novels for $63. This can be represented as:
6n + 3c = 63 (Equation 2)

So, the system of linear equations describing the situation is:
{
 2n + 5c = 41
 6n + 3c = 63
}

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Answer:

the answer is e. i hope this helps :)))

Answer:

y=-2x-12

Step-by-step explanation:

Answer:

30.67 pounds

Step-by-step explanation:

21.6 pounds + 9.07 pounds = 30.67 pounds

The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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I will show the steps using the "Body Table for the Standard Normal Distribution" to find the missing values.

a) p(z < -1.5):

First, we locate the value -1.5 on the z-axis in the body table. The z-score -1.5 corresponds to the area to the left of -1.5 under the standard normal curve. From the table, we find this area to be 0.0668.

Therefore, p(z < -1.5) = 0.0668.

b) p(z < c) = 0.8749:

To find the value of c, we need to find the z-score corresponding to the area 0.8749 in the body table. We locate the closest area to 0.8749 in the table, which is 0.8750. The corresponding z-score is approximately 1.17.

Therefore, c ≈ 1.17.

c) p(-c < z < c) = 0.966:

To find the value of c in this case, we need to find the z-scores corresponding to the area 0.966/2 = 0.483 in the body table. The area of 0.483 corresponds to the cumulative area from the center to the left side of the curve.

From the table, we find the z-score corresponding to 0.483 to be approximately 2.04.

Therefore, c ≈ 2.04.

Summary of answers:

a) p(z < -1.5) = 0.0668

b) p(z < c) = 0.8749, c ≈ 1.17

c) p(-c < z < c) = 0.966, c ≈ 2.04

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It can be concluded that -

A table drawn up to show the distribution of the frequency of occurrence of a given characteristic according to some specified set of class intervals.

Given is that each day for three weeks, Kenisha records the number of eggs her chickens lay. The frequency table attached at the end shows her data.

[1] -

Number of days for which layed eggs are 5 or more -

5 + 5 + 2 = 12

[2] -

The greatest number of eggs laid down are equivalent to 7.

Therefore, it can be concluded that -

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Answer:

Step-by-step explanation:

The set up will form a right  angles triangle:

First we need to get the angle of elevation of the first ladder using SOH, CAH, TOA

The length of the ladder will be the hypotenuse = 10foot

The opposite will be the height of the building = 8ft

Using Sin(theta) = opposite/hyp

sin Theta = 8/10

theta = sin^{-1}0.8

theta = 53.13°

If the length of the ladder is now 25 foot, the height of the building will be calculated as shown;

sin Theta = h/25

sin53.13 = h/25

h = 25sin53.13

h = 19.99feet

Hence the height of the building will be 19.99feet

Answer:

10+5v=70

Step-by-step explanation:

this is because you need to consider the outright monthly cost of $10 first. then you don't know how many visits you'll need so you have to fill in v and multiply it by the cost per visit. and it must equal 70 so that it is equal to the other membership.

The equation 70 = 10 + 5v is used to determine the number of visits per month needed for two membership types to cost the same. Solving the equation would provide that 12 visits a month will make both memberships cost the same.

The subject of this question is Mathematics, and it is related to the topic of linear equations. Given the problem, we know that there are two types of membership options:

Here, Y represents the total cost of the membership each month and v represents the number of visits to the water park per month. You can set these two equations equal to each other in order to find the number of visits (v) needed for the two membership types to cost the same amount:

70 = 10 + 5v

You solve the equation for v to get: v = (70 - 10) / 5 = 12

Therefore, it would take 12 visits per month for both memberships to cost the same.

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Option D is correct, the manager should check both relative frequencies by row and by column to look for an association.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase.

We need to find the statement which best describes how the manager can check if there is an association between the two variables

This will be The manager should check both relative frequencies by row and by column to look for an association.

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The number of possible valid code vectors in a given block code (n, k) is 2^k.

In a block code, (n, k) represents the number of bits in a code vector and the number of information bits, respectively. The remaining (n-k) bits are used for error detection or correction.

Each information bit can take on two possible values, 0 or 1. Therefore, for k information bits, we have 2^k possible combinations or code vectors. This is because each bit can be independently set to either 0 or 1, resulting in a total of 2 possibilities for each bit.

Hence, the number of possible valid code vectors in the given block code (n, k) is 2^k. This represents the total number of distinct code vectors that can be constructed using the available information bits.

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The area of the triangle is approximately 27.71 square units.

We can use the formula for the area of a triangle given two sides and the included angle:

Area = 1/2 * |u| * |v| * sin(theta)

where |u| and |v| are the magnitudes of the vectors, and theta is the angle between them.

First, we can find the magnitude of each vector:

Next, we can find the vector difference ~u - ~v:

~u - ~v = (3-6, 3-0, 3-6) = (-3, 3, -3)

Then, we can find the magnitude of ~u - ~v:

|~u - ~v| = √((-3)² + 3² + (-3)²) = 3√(2)

Now, we can find the angle between ~u and ~v using the dot product:

theta \(= cos^{-1(2\sqrt(6))}\) ≈ 30.96 degrees

Finally, we can plug in the values to find the area:

Therefor, the area is ≈ 27.71 square units.

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Answer:

At most, Liam can only buy lunch for 6 people.

Step-by-step explanation:

It isn't going to be a decimal answer because there can't be half of a person

All you have to do is divide 50 by 8 and round down because you don't want to spend more than 50 dollars.

Writing it mathematically, it would be:

p \(\leq\) 6