calculate the range of these temperatures
During one week in April, in Quebec, the daily minimum temperatures were
-5°C,
-1°C
3°C,
2°C
-2°C,
0°C,
6°C.

Answer:

Critica probability (p) = 1 - (Alpha / 2), where Alpha is eqal to 1 - (the confidence level / 100)

Step-by-step explanation:

I think

Let the time it takes for the larger hose to fill the pool be L hours. Then, the smaller hose will take 1.5L hours to fill the pool.

Using the work formula, Work = Rate × Time, we can express the combined work of the two hoses as:

1 pool / 3 hours = (1 pool / L hours) + (1 pool / 1.5L hours)

To solve for L, first find the common denominator, which is 3L:

1 pool / 3 hours = (3 pools / 3L hours) + (2 pools / 3L hours)

Now, add the fractions on the right side:

1 pool / 3 hours = (5 pools / 3L hours)

Now, cross-multiply:

3L hours = 15 hours

Finally, divide by 3:

L = 5 hours

So, if only the larger hose is used, it will take 5 hours to fill the pool. Your answer: 5 hours.

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The type of reliability being referred to in this scenario is inter-rater reliability. This means that multiple raters (in this case, Dr. Nielsen and Dr. Perry) are assessing the same individual and producing consistent results in their diagnoses.
The question is about the type of reliability when Dr. Nielsen evaluated Kris at 2-years-old and Dr. Perry evaluated him at 6-years-old, with both diagnosing him with an intellectual disability and ADHD.

The type of reliability in this scenario is known as inter-rater reliability. Inter-rater reliability refers to the consistency of measurements when different evaluators assess the same individual or situation. In this case, both Dr. Nielsen and Dr. Perry independently came to the same diagnosis, demonstrating a high level of inter-rater reliability.

Inter-rater reliability is an important aspect of psychological and diagnostic assessments as it provides confidence in the consistency of the evaluations conducted by different professionals. When multiple evaluators reach similar conclusions, it enhances the reliability and validity of the diagnoses made.

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We do not have enough evidence to conclude that the population mean height of bass singers is greater than the population mean height of tenor singers

We can conduct a two-sample t-test to determine if the population mean height of bass singers is greater than the population mean height of tenor singers.

The null hypothesis is that there is no difference between the population means, while the alternative hypothesis is that the population mean height of bass singers is greater than the population mean height of tenor singers.

Let's calculate the t-statistic:

t = (xb - xt) / sqrt(s^2/nb + s^2/nt)

where xb and xt are the sample means, sb and st are the sample standard deviations, and nb and nt are the sample sizes.

Plugging in the given values, we get:

t = (70.99 - 69.41) / sqrt((2.52)^2/64 + (2.79)^2/42) = 2.18

Using a two-tailed t-distribution table with degrees of freedom of 64+42-2=104 and a significance level of 0.01, we find the critical t-value to be 2.364.

Since our calculated t-value of 2.18 is less than the critical t-value of 2.364, we fail to reject the null hypothesis. Therefore, we do not have enough evidence to conclude that the population mean height of bass singers is greater than the population mean height of tenor singers at a 1% level of significance.

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Answer

x=3 or (3,0) and if you need it y=-2x+3

Step-by-step explanation:

I'm not very good at explaining things, sorry

Answer:

The line's slope is -1
The lines y-intercept is +7 or 7

Step-by-step explanation:

Equations of straight lines are in the form y=mx+c

In this question it has been rearranged to give:
y=c+mx

Where c = +7 or 7 and m= -1 (there is an invisible 1 in front of x)

c is the y-intercept and m is the gradient

Answer:

1.1      Factoring:  x2-44  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 44 is not a square !!

Step-by-step explanation:

The solution range for the given function inequality is x > 25.

A function is a relation between a dependent and independent variable. Mathematically, we can write -

y = f(x) = ax + b

Given is the function inequality as -

- 3(2x - 5) < 5(2 - x)

The given function inequality is -

- 3(2x - 5) < 5(2 - x)

- 6x - 15 < 10 - 5x

- 6x + 5x < 10 + 15

- x < 25

x > 25

Therefore, the solution range for the given function inequality is x > 25.

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(f-g)(x) = -x - 14 (option C)

f (x) = 4x - 8

g(x) = 5x + 6

(f-g)(x) means f(x) - g(x)

f(x) - g(x) = 4x - 8 - (5x + 6)

open the parnethesis:

Note: Multiplication of same sign gives positive number. Multiplication of opposite signs give negative number.

4x - 8 - (5x + 6) = 4x - 8 - 5x - 6

collect like terms:

f(x) - g(x)= 4x - 5x -8 - 6

f(x) - g(x) = -x - 14

(f-g)(x) = -x - 14 (option C)

Answer:

113040

Step-by-step explanation:

Volume of a sphere:

V = 4/3πr³

V = 4/3(3.14)30³

V = 4/3(3.14)27000

V = 113040

Answer:

the answer is 120 have a good day :)

Step-by-step explanation:

The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10

To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.

Let's break down the expenses and donations:

Expenses:

Annual rental = $2,500

Weekly expenses = $450

Donations:

One-time donation = $125

Pledged donations per week = $680

Let w represent the number of weeks it takes for the shelter to meet its goal.

Total expenses for w weeks = Annual rental + Weekly expenses * w

Total expenses = $2,500 + $450w

Total donations for w weeks = One-time donation + Pledged donations per week * w

Total donations = $125 + $680w

To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:

Total donations ≥ Total expenses

$125 + $680w ≥ $2,500 + $450w

Simplifying the inequality, we have:

$230w ≥ $2,375

Dividing both sides of the inequality by 230, we get:

w ≥ $2,375 / $230

Rounding the result to the nearest whole number, we have:

w ≥ 10

Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:

w ≥ 10

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We ahve to solve for y in the equation:

- 2 x - 7 y = 4

We add 7 y to both sides:

- 2 x = 4 + 7 y

now subtract 4 from both sides:

- 2 x - 4 = 7 y

divide everything on the left and everything on the right by 7 in order to isolate the "y" completely:

- 2 x / 7 - 4 / 7 = y

y = -(2/7) x - (4/7)

where "- (2/7) " is the slope

and

"- (4/7)" is the y-intercept

Answer:

22

Step-by-step explanation:

By the segment addition postulate, FH=8+14=22.

The equation will be,

→ FH = FG + GH

Then the value of FH will be,

→ FH = 8 + 14

→ [ FH = 22 ]

Hence, the value of FH is 22.

Answer:

x = 2, 1 + 3i, 1 − 3i

Step-by-step explanation:

Find the Roots (Zeros)

x^4 − 6x^3 + 22x^2 − 48x + 40

Set x^4 − 6x^3 + 22x^2 − 48x + 40 equal to 0. x^4 − 6x^3 + 22x^2 − 48x + 40 = 0

Solve for x.

Factor the left side of the equation.

Factor x^4 − 6x^3 + 22x^2 − 48x + 40 using the rational roots test.

(x − 2) (x^3 − 4x^2 + 14x − 20) = 0

 Factor x^3 − 4x^2 + 14x − 20 using the rational roots test.

(x − 2) (x − 2) (x2 − 2x + 10) = 0

 Combine like factors.

(x − 2)2 (x^2 − 2x + 10) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

(x − 2)^2 = 0

x^2 − 2x + 10 = 0

 Set (x − 2)^2 equal to 0 and solve for x.

Set (x − 2)^2 equal to 0.

 (x − 2)^2 = 0

Solve (x − 2)^2 = 0 for x.

x = 2

 Set x^2 − 2x + 10 equal to 0 and solve for x.

Set x^2 − 2x + 10 equal to 0. x^2 − 2x + 10 = 0

Solve x^2 − 2x + 10 = 0 for x.

Use the quadratic formula to find the solutions.

−b ± (√b^2 − 4 (ac) )/2a

Substitute the values a = 1, b = −2, and c = 10 into the quadratic formula and solve for x.

2 ± (√(−2)^2 − 4 ⋅ (1 ⋅ 10))/2 ⋅ 1

Simplify.

Simplify the numerator.

  x =    2 ± 6i/ 2.1

Multiply 2 by 1

 x =  2 ± 6i/2⋅1

 Simplify

  2 ± 6i/2  

   x = 1 ± 3i

The final answer is the combination of both solutions.

x = 1 + 3i, 1 − 3i

The final solution is all the values that make (x − 2)2 (x2 − 2x + 10) = 0 true.

x = 2, 1 + 3i, 1 − 3i

Answer:

14cm, 16 cm, 18 cm

Step-by-step explanation:

Note that

= a:b: c = 7:8:9

We have to find the sum of the proportion

Sum of proportion = 7 + 8 + 9

= 24

Length of side a

7/24 × 48 = 14 cm

Length of side b

8 /24 × 48 = 16cm

Length of side a

9/24 × 48 = 18 cm

What are the lengths of the sides?

The lengths of the sides of the triangle in cm are

14cm, 16 cm, 18 cm

The two triangles have a pair of corresponding sides as well as the

included angles between them that are equal.

Justin could prove that ΔDEH ≅ ΔFGH by A. SAS

Reason:

The known information are;

DF bisects GE, therefore; GH = EH

GE bisects DF, therefore; DH = FH

∠DHE = ∠FHG by vertical opposite angle theorem

Therefore;

DH and EH in triangle ΔDEH = FH and GH in triangle ΔFGH

∠DHE in triangle ΔDEH = ∠FHG in triangle ΔFGH

Therefore, two sides and an included angle triangle in ΔDEH are equal to (congruent) to the corresponding two sides and an included angle in ΔFGH.

Therefore;

ΔDEH ≅ ΔFGH by SAS, Side-Angle-Side congruency theorem

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The answer would be SAS

Step-by-step explanation: SAS

The missing dimension (height) of the cylinder is 11.62 feet.

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.

Substituting the given values, we get:

3000 = π(9.3)²h

Simplifying and solving for h:

h = 3000 / (π(9.3)²)

h ≈ 11.62 feet

Thus, the missing dimension (height) of the cylinder is 11.62 feet.

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Answer:

yes also what is the question

The probability that at least one of the 5 systems will detect the theft when it occurs is what the bank is interested in. To find this probability, we can use the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring.

Let A be the event that at least one of the 5 alarm systems detects the theft. The complement of A is the event that none of the 5 systems detects the theft, which we will denote by A'.Since each system detects the theft with a probability of 0.88, the probability that any one system does not detect the theft is 1 - 0.88 = 0.12.

Therefore, the probability that none of the 5 systems detect the theft is: P(A') = (0.12)⁵ = 0.00005376Using the complement rule, we can find the probability that at least one of the 5 systems will detect the theft: P(A) = 1 - P(A') = 1 - 0.00005376 = 0.99994624Therefore, the probability that when a theft occurs, at least one of the 5 systems will detect it is approximately 0.99995 when rounded to 5 decimal places.

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Answer:

\( \frac{1 \\ }{3125} \)

Answer:

x = 9

Step-by-step explanation:

        \(\sf \dfrac{a^m}{a^n}=a^{m-n}\\\\\\ \dfrac{1}{a^m}=a^{-m}\)

\(\sf \dfrac{5^x}{5^{14}}=\dfrac{1}{5^5}\\\\5^{x -14} = 5^{-5}\)

Base are same. Compare the exponents.

 x - 14 = -5

        x = -5 + 14    {Addition property of equality}

        x = 9

Perfect squares are numbers gotten by squaring whole numbers. Therefore, 5 exmaples of perfect squares are

4(2^2)

9(3^3)

16(4^4)

25(5^5)

49(7^7)

So 5 perfect squares are 4, 9, 16, 25, 49

Answer:

the average speed=distance÷time taken

An independent basic service set (IBSS) does not consist of any access points.

In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.

Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.

To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.

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Answer:

Fifty seven thousand nine hundred and eight

57908

Answer:

C

Step-by-step explanation:

The indivisual blocks aren't in tens that he had subtracted

Answer:

A is 30 inches

b is Yes

c

Step-by-step explanation:

The center line of the  x - chart  is simply the average of the sample means.

Therefore, we can use 0.50 as an estimate of the center line.

The center line of the x-chart  is simply the average of the sample means. Since we don't have any sample means yet, we can't calculate the center line directly.

However, we can use the specification limits to estimate the center line. If the bolts are properly adjusted, we would expect the average bolt length to be in the middle of the specification range, which is 0.50 inches. Therefore, we can use 0.50 as an estimate of the center line.

Keep in mind that this is just an  estimate, and the actual center line may be higher or lower depending on the data. Once we start collecting data and calculating sample means, we can use those values to calculate the true center line.

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