I would be thankful if you help

The critical value that should be used in constructing the confidence interval is 2.132 (rounded to three decimal places).

What is Critical value ?

In statistics, a critical value is a threshold value that is used to determine whether to reject or fail to reject the null hypothesis in a statistical test. It is typically based on the significance level of the test, which is the probability of rejecting the null hypothesis when it is actually true.

To find the critical value for a 90% confidence interval with n = 5, we need to use a t-distribution with (n-1) degrees of freedom.

Using a t-distribution table or a calculator, we can find the critical value with a 90% confidence level and 4 degrees of freedom (n-1 = 5-1 = 4) to be approximately 2.132.

Therefore, the critical value that should be used in constructing the confidence interval is 2.132 (rounded to three decimal places).

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The solution is: x ≥ 6.

What is linear inequalities?

Linear inequality is an equation or expression that do not have a definite solution. Thus it consist of either of greater than, less than, greater than or equal to, less than or equal to etc.

In the given inequality question, we have;

8 is less than or equal to -3x +26

This can be expressed as;

8 ≤ -3x +26

so that collecting like terms,

8 - 26 ≤ -3x

-18 ≤ -3x

-18/ -3 ≤ x

6 ≤ x

Therefore, x ≥ 6.

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Answer:

198 ft^2

Step-by-step explanation:

l = 3

w = 3

h = 15

2(3*3) + 4(3*15) = 18 + 180

18 + 180 = 198 ft^2

The volume of the prism is 143.44 in³

A prism is a solid shape that is bound on all its sides by plane faces.

The general formula for the volume of a prism is expressed as;

V = base area × height

The prism is a rectangular prism, therefore the volume will be calculated as

V = l× w × h

where l is the length of the base and w is the width of the base

V = 8.5× 4.5 × 3.75

V = 143.44 in³

therefore the volume of the rectangular prism is 143.44 in³

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Answer:

it’s 86.6%

Step-by-step explanation:

could be wrong

In the triangles given the analysis for same is given below

1) the corresponding vertices are

R ~ C and

E ~ 0

2) The corresponding angle are

∠E ~∠O  and

∠ R ~ ∠C

3)

The corresponding sides are;

ER ~ CO;
MO ~ EM
CM ~ RM

4)  the congruent angles are:

∠REM ≅ ∠MOC
∠ERM ≅ ∠MCO
∠CMO ≅ EMR

5) the congruent sides are:

ER ≅ CO;
MO ≅ EM
CM ≅ RM

6) the congruent triangles are;

ΔMER ≅ ΔMOC

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A subscription to a live streaming program normally costs $29 but is on sale for 25% off. An 8% tax is added at checkout then the total cost is $23.49.

To calculate the total cost, first, we find the discounted price of the subscription. A 25% discount on $29 is calculated by multiplying $29 by 0.25 (25% as a decimal), which gives us a discount of $7.25. Subtracting the discount from the original price, we get the discounted price of $29 - $7.25 = $21.75.

Next, we need to add the 8% tax to the discounted price. To calculate the tax amount, we multiply $21.75 by 0.08 (8% as a decimal), which gives us $1.74. Adding this tax amount to the discounted price, we get the total cost as $21.75 + $1.74 = $23.49.

Step 1: Calculate the discount amount:

Discount = 25% of $29

Discount = 0.25 * $29

Discount = $7.25

Step 2: Find the discounted price:

Discounted Price = Original Price - Discount

Discounted Price = $29 - $7.25

Discounted Price = $21.75

Step 3: Calculate the tax amount:

Tax Amount = 8% of Discounted Price

Tax Amount = 0.08 * $21.75

Tax Amount = $1.74

Step 4: Calculate the total cost:

Total Cost = Discounted Price + Tax Amount

Total Cost = $21.75 + $1.74

Total Cost = $23.49

So, the total cost after applying the 25% discount and adding an 8% tax at checkout is $23.49.

- Discount = 0.25 * $29 = $7.25

- Discounted Price = $29 - $7.25 = $21.75

- Tax Amount = 0.08 * $21.75 = $1.74

- Total Cost = $21.75 + $1.74 = $23.49

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The integer values that make the statement true are x = -3, -2, -1, 1, 2, 3

We have,

We can start by multiplying both sides of the inequality by -3x to get rid of the denominators:

-3/x < -x/3

Multiplying by -3x on both sides.

-9 < -x²

Rearranging.

x² < 9

Taking the square root of both sides.

|x| < 3

This means that x can take any integer value between -3 and 3, excluding 0.

Thus,

The integer values are x = -3, -2, -1, 1, 2, 3

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Answer:

it's 4 cm

Step-by-step explanation:

A. Square = 50 cm²

A. Square = s × s

50 = s²

s = √50

SP = hypotenuse (c) = s

c = s = √50

b = √34

a = PT = ...?

use Pythagorean theorem to find PT

a² + b² = c²

a² + (√34)² = (√50)²

a² + 34 = 50

a² = 50 - 34

a² = 16

a = √16

a = 4 cm

Answer:

mt1= 995

mt2=975

Step-by-step explanation:

the line inside the box plot shows where the median is.

a) A function for the amount of money in the account, B, after t months with an initial deposit of $100 isB(t) = [tex]100(1 + 0.002)^t[/tex]

b) The amount in the account increases by a factor of approximately 1.002 every month, approximately 1.025 every year and approximately 1.099 every five years.

a) The function for the amount of money in the account after t months with an initial deposit of $100 and an increase of 0.2% per month can be written as:

B(t) = [tex]100(1 + 0.002)^t[/tex]

where t is the number of months.

b) To determine the factor by which the amount in the account increases every month, year, and five years, we can calculate the value of the function for t = 1, t = 12, and t = 60, respectively, and then divide each value by the previous one.

For each month:

B(1) = 100(1 + 0.002) = $100.20

B(2) = 100(1 + 0.002)² = $100.40

B(2)/B(1) = $100.40/$100.20 = 1.001993

The amount in the account increases by a factor of approximately 1.002 every month.

For each year:

B(12) = 100(1 + 0.002)¹² = $102.44

B(24) = 100(1 + 0.002)²⁴ = $105.01

B(24)/B(12) = $105.01/$102.44 = 1.0249

The amount in the account increases by a factor of approximately 1.025 every year.

For every five years:

B(60) = 100(1 + 0.002)⁶⁰ = $110.41

B(120) = 100(1 + 0.002)¹²⁰ = $121.20

B(120)/B(60) = $121.20/$110.41 = 1.0991

The amount in the account increases by a factor of approximately 1.099 every five years. Therefore, the amount in the account increases by a small factor every month, a moderate factor every year, and a larger factor every five years.

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b) Josh would pay $741.15 for the refrigerator at the department store with 10% discount.

c)  The true statement is: Josh would pay more for the refrigerator at the superstore.

(b) If the department store marks up the wholesale price of the refrigerator by 50%, then the price at the store would be:

Wholesale price + (50% x Wholesale price) = $549 + (0.5 x $549) = $823.50

If Josh would receive a 10% discount off the in-store price, then the price he would pay would be:

In-store price - (10% x In-store price) = $823.50 - (0.1 x $823.50) = $741.15

(c) If the superstore marks up the wholesale price of the refrigerator by 40%, then the price at the store would be:

Wholesale price + (40% x Wholesale price) = $549 + (0.4 x $549) = $768.60

Therefore, Josh would pay $768.60 for the refrigerator at the superstore.

Comparing the prices, we can see that Josh would pay less for the refrigerator at the department store after factoring in the discount:

Price at department store = $741.15

Price at superstore = $768.60

So the true statement is: Josh would pay more for the refrigerator at the superstore.

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Answer: you could reflect the points (2, 4) to both axisis to find the inverse, add a negative in front of both numbers, or multiply the function by -1.

Step-by-step explanation:

Have a great night.

We know that cos(45) = sin(45) = √2/2.

Substituting these values, we can simplify the expression as follows:

4cos(45) - 2sin(45)

= 4(√2/2) - 2(√2/2) (substituting cos(45) and sin(45) values)

= 2√2 - √2

= √2

Therefore, the answer is √2.

The solution set for each rational inequality:

Case 1: - 9 ≤ x < - 5

Case 3: Every real number except x = 1.

In this problem we find two cases of rational inequality, whose solution sets can be found by using algebra properties and sign laws. Now we proceed to solve on each case:

Case 1

(3 · x + 7) / (x + 5) ≥ 5

(3 · x + 7) / (x + 5) - 5 ≥ 0

[(3 · x + 7) - 5 · (x + 5)] / (x + 5) ≥ 0

(- 2 · x + 18) / (x + 5) ≥ 0

- 2 · (x - 9) / (x + 5) ≥ 0

The inequality is positive for - 9 ≤ x < - 5.

Case 3

(- x² - 1) / (- x² + 2 · x - 1) > 0

[(- 1) · (x² + 1)] / [(- 1) · (x² - 2 · x + 1)] > 0

(x² + 1) / (x² - 2 · x + 1) > 0

(x² + 1) / (x - 1)² > 0

The inequality is positive for all real number except x = 1.

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Answer:

2v-1

Step-by-step explanation:

9v+-3v+-4v-2+1

=9v-3v-4v-1

=6v-4v-1

=2v-1

Answer:

The equation of the circle with a diameter of 14 and whose center is (-4,6) is  [tex]x^{2}+y^2+8x-12y+3=0[/tex]

Step-by-step explanation:

Given that diameter is 14. So, the radius is 14/2 which is equal to 7.

Also, the center is (-4,6).

We know that the equation of a circle with center (h,k) and radius r units is

[tex](x - h)^2+(y-k)^2=r^2 .[/tex]

Here, h=-4, k=6 and r=7.

Putting these values in the above equation,

[tex](x - (-4))^2+(y-6)^2=7^2 .[/tex]

[tex](x +4)^2+(y-6)^2=49 .[/tex]

On solving, the equation of the circle is

[tex]x^2+y^2+8x+-12y+3=0[/tex].

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Answer:

C

Step-by-step explanation:

Positive numbers represent a positive situation. And negative numbers coincide with a negative situation.

 Ex: An increase in temperature corresponds to a positive number, and a decrease in temperature with a negative number.

Option B is correct. The sample is not unusual if the claim is true. The sample is not unusual if the claim is false. Therefore, there is not sufficient evidence to support the claim.

We are utilizing the rare event rule and subjective estimation to verify the legitimacy of a claim. The assertion states that, within a considerable math class, the mean age of pupils is below 30. When selecting students at random, we observe that their average age is 29.3 years.

Given that the sample's mean age only subtlety fluctuates from the value expected (i.e., 30), the result obtained is not improbable if the premise holds true (thus validating the claim). Furthermore, it would be non-ambiguous even if the proposition is false due to the minuscule difference between 29.3 and 30 years of age.

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Answer:

Step-by-step explanation:

There are 2 parts for your function.    (see image)

y=4x, which is a line with a slope of 4 but x≠0, so there is a hole there

y=1 only at x=0  so the point is above the line

(a)  Domain: All real numbers.  There is a value for all x's

(b)  There is no x-intercept because the graph never touches x

y-intercept (1,0)  That's where the graph touch y

(c) see image

(d) range:  (-∞, 0) U (0, +∞)   there is a stop at 0 for y values

can also be written   -∞<x<1  and 1<x<+∞

(e) yes it's continuous for domain but not range.   because even though there is a jump at that point, i still have an x value.  The jump causes me to not have a y value at y=0, that's why range is discontinuous

Answer:

The Babylonian numeral <|| <<|||| represents the number 51 in the Babylonian numeral system.

To convert it to the Hindu-Arabic numeral system, we first need to determine the place values of the symbols. The symbol <|| represents 50 and <<|||| represents 1.

So, we can write the number as:

50 + 1 = 51

Therefore, the Hindu-Arabic numeral equivalent of the Babylonian numeral <|| <<|||| is 51.

1. Find the vertex (turning point) of the parabola by using the formula x = -b/2a, where a = 4 and b = 8. This gives x = -1, which is the x-coordinate of the vertex. To find the y-coordinate, substitute x = -1 into the equation: y = 4(-1)² + 8(-1) + 3 = -1.

2. Plot the vertex at the point (-1, -1).

3. To find the x-intercepts, set y = 0 in the equation and solve for x. This gives x = (-8 ± √(8² - 4(4)(3)))/(2(4)) = (-8 ± √16)/8 = -1/2 or -3. Plot these points on the x-axis.

4. To find the y-intercept, set x = 0 in the equation and solve for y. This gives y = 3, so the y-intercept is at the point (0, 3).

5. Since the coefficient of x² is positive, the parabola opens upwards. Sketch the curve passing through the points found above.

6. Label the points of intersection and the turning point on the graph.

Answer:

i believe 67 its somewhat hard to tell but the line seems to be in the middle between 150 and 140

Step-by-step explanation:

since it heats up to 212 then the person lets it cool down for 10 mins the temp goes to 145 (Answer is 67)

The coefficient of determination, given the total variation and the explained variation would be 0.898.

R-squared, or the coefficient of determination, represents the proportion of variation within a response variable that can be explained by the regression model. This calculation is achieved through dividing the explained variation by the total variation.

We are given the explained variation as 18. 592. We are also given the total variation as 20. 711.

The coefficient of determination is:

= explained variation / total variation

= 18. 592 / 20.711

= 0. 898

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Full question is:

A regression equation is obtained for a collection of paired data. It is found that the total variation is 20.711, the explained variation is 18.592, and the unexplained variation is 2.119.

Find the coefficient of determination. Round to three decimal place

a) An exponential equation in the form of y = a(b)ˣ that can model the amount of money (future value) in Patrick's account, y, x years after starting the account is y = 894(1.02)ˣ.

b) If Patrick makes no other deposits or withdrawals, after 5 years or approximately 6 years his account will have more than $1,000 (future value).

An exponential equation is a mathematical function, written in the form of y = a(b)ˣ, where y is the ending value, a is the initial value, b is the growth or decay rate, and x is the exponent or number of years.

Thus, there are two types of exponential functions: exponential growth and exponential decay functions.

y = 894(1.02)^6

1,000 ≤ 894(1.02)ˣ

I/Y (Interest per year) = 2%

Present Value = $894

FV (Future Value) ≥ $-1,000

Results:

x = 5.658

x ≈ 6 years

= $1,006.79

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Patrick spent last summer working in construction with his dad, and he put $894 of his earnings into a new high-yield savings account. The money in this savings account will increase by 2% each year.

a) Write an exponential equation in the form of y = a(b)ˣ that can model the amount of money in Patrick's account, y, x years after starting the account. Use whole numbers, decimals, or simplified fractions for the values of a and b.

y =

b) If Patrick makes no other deposits or withdrawals, after how many years will his account have more than $1,000?

Answer:

$12,276.24

Step-by-step explanation:

22000 / (1 + 0.105/12)^4*12

12276.24

Therefore , the solution of the given problem of unitary method comes out to be once more administer maths and science quizzes on the same day.

The well-known minimalist approach, current variables, and any crucial elements from the initial Diocesan tailored query can all be used to accomplish the work. In response, you can be granted another chance to utilise the item. If not, important impacts on our understanding of algorithms will vanish.

Here,

List the multiples of each integer until we discover a common multiple as one method to determine the least common multiple:

=> 8, 16, 24, 32, 40, 48, 56, 64, 72, and 80 are all multiples of 8.

=> 6, 12, 18, 24, 30, 36, 42, 48, 54, and 60 are multiples of 6.

As an alternative, we can use the prime factorization technique to identify the smallest common multiple:

=> 8's prime factors are 2 x 2 x 2

=> 6's prime factors are 2 x 3

=> 2 x 2 x 2 x 3 = 24

We can see that 24 is the smallest common multiple once more, and in 24 days,

Mrs Hopkins will once more administer maths and science quizzes on the same day.

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The expression can be simplified to get:

2.7^(1)*3.8^(5)

The correct option is C.

Remember that if we have the product of two powers with the same base, we only need to add the exponents.

Then we will get:

2.7^(-3) * 3.8^(2) * 2.7^(4) * 3.8^(3)

= (2.7^(-3)*2.7^(4)*3.8^(2)*3.8^(3))

= (2.7^(-3 + 4)*3.8^(2 + 3))

= 2.7^(1)*3.8^(5)

That is the expression simplified, we can see that the correct option is C.

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Answer:

----------------------

Use the following identities:

Apply the identities to the given expression: