Find the critical value zα/2 that corresponds to the given confidence level. 92​%

Answer:

$524.30

Step-by-step explanation:

70+60+25+350+30= 535

535*.02(20%)

10.7

535-10.7=

524.3

Answer:

$107

Step-by-step explanation:

First you have to add up the costs and you get a total of $535

Then you need to make 535 equivalent to 100 then divide by 20 to get 107

Hope that helps and have a great day!

Answer:

the answer is (C) √(2x² + x). None of the answer options match this expression, but we can simplify it to show that it is equivalent.  option (C) √(2x² + x) is equivalent to the original expression √(2x) * √(x+3) when x > 0.

Step-by-step explanation:

To simplify the expression √(2x) * √(x+3), we can use the property of radicals that says:

√(a) * √(b) = √(a * b)

So, we have:

√(2x) * √(x+3) = √(2x * (x+3))

Multiplying out the terms inside the radical, we get:

√(2x * (x+3)) = √(2x² + 6x)

Therefore, the expression √(2x) * √(x+3) is equivalent to the radical expression √(2x² + 6x) when x > 0.

So, the answer is (C) √(2x² + x). None of the answer options match this expression, but we can simplify it to show that it is equivalent:

√(2x² + 6x) = √(2x² + x + 5x) = √(x * (2x + 5)) = √x * √(2x + 5)

Answer:

x ≥ 3

Step-by-step explanation:

- 3(2x - 1) ≤ x - 18 ← distribute parenthesis on left side

- 6x + 3 ≤ x - 18 ( subtract x from both sides )

- 7x + 3 ≤ - 18 ( subtract 3 from both sides )

- 7x ≤ - 21

divide both sides by - 7, reversing the symbol as a result of dividing by a negative quantity.

x ≥ 3

The standard deviation of U(4, 92) is  25.4034

Mean

Mean, in mathematics, is a quantity that has a value intermediate between those of the extreme members of some set. Several kinds of means exist, and the method of calculating a mean depends upon the relationship known or assumed to govern the other members.

Standard Deviation

Standard Deviation is a measure that shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a typical deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.

Mean Conductivity

Mean Conductivity is the amount of heat that moves through a slab with a unit cross-sectional area per second. Electrical conductivity is the amount of electricity that flows through a comparable slab per second when the potential gradient is unity.

Mean = (4 + 92)/2 = 48

Standard deviation = (92 - 4)/√12 = 25.4034

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Answer:

c) alternate hypothesis

Step-by-step explanation:

Answer:

An alternate hypothesis is a statement about a population parameter that is accepted when the null hypothesis is rejected. ... A test statistic is a value determined from sample information collected to test the null hypothesis

Step-by-step explanation:

Answer:

The answer is B.) 2 green spaces, 2 star spaces, 2 question mark spaces

Step-by-step explanation:

Just a "calculation," or rather, I did this question before.

Hope this helps!

(Can you mark me brainliest?)

Have a great day/night/afternoon!

- ❤ 7272033Alt ❤

Answer:

20.4/20 seconds.

Step-by-step explanation:

I just divided the amount of seconds by 30, but I don't think it's that easy. Don't depend on my answer but it's a backup.

Answer:

1= B 2=A 3=B

Step-by-step explanation:

there I think that right

Thus, the linear equation in terms of x  that shows the sum of all three ages of Rebecca , Mary and Jill : 5x + 32 = 67.

Any pattern of numbers that consistently increases or decreases in value by the same amount is known as a linear equation. As a result, the only two elements we require to establish a linear equation are the point at which the pattern starts and the distance it travels.

The linear equation y = mx + b, with the m value representing the slope and the b value representing the y-intercept, is what is left.

Given that-

Then,

age of Jill = 3(x + 8) years

Sum of all is 67.

Linear equation:

x + x + 8 + 3(x + 8) = 67  ...eq 1

2x + 8 + 3x + 24 = 67

5x + 32 = 67

3x = 67 - 32

3x = 35

x = 35/3

Thus, the linear equation in terms of x  that shows the sum of all three ages of Rebecca , Mary and Jill : 5x + 32 = 67.

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Answer:

maybe 0 dollars doesn't know

Answer:

-240.75

Step-by-step explanation:

-70.12-100.50=30.38

30.38- 271.13= -240.75

Answer:

Step-by-step explanation:

Using Jefferson’s method, the number of tutors  to allocate to each subject is = 8,8,3,2 tutors to each of the subjects

Subjects      students enrolment         tutors to assign      Aprx tutors

Maths                        355                              8.4                           8

English                       325                              7.7                           8

Chem                          135                               3.2                          3

Biology                        75                                 1.8                          2

Total                          890                                                               21

Total number of tutors to be allocated is = 21

Using ratios to divide we have

English = 355/890 * 21/1 = 8.476

Maths = 325/890 *21 = 7.668

chem = 135/890 * 21 = 3.185

Biology = 75/890 *21 = 1.76966

Approximate the total to get  8+8+3+2 = 21 tutors

the method division used here is ratio of number of students in each subject

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Answer:

decagon (10-sided polygon)

Step-by-step explanation:

A regular polygon has a minimum rotation of 360/n degrees about its center, where n is the number of sides in the polygon.

Therefore, the regular polygon with a minimum rotation of 36 degrees about its center is a polygon with 360/36 = 10 sides, or a decagon.

if this helps you, it would help me a lot if you could mark this as brainliest :)

Answer:

It is going to be C.9 hope this help hopefully not late. :D

Step-by-step explanation:

Its like a train so (2x3)+8x(7x-2)= your answer but you can solve it in a calculator :D

Answer:

D. 7

Step-by-step explanation:

According to this problem, the sum of the angles is 90°. This means we're adding.

2x + 3x + 8 + 7x - 2 = 90.

To make this easier to solve, we can combine like terms.

2x + 3x + 7x = 12x.

The remaining numbers are 8 and -2.

8 + -2 = 6

Our final expression is:

12x + 6 = 90

First, subtract 90 from 6 and get 84.

Lastly, divide the difference (84) by 12.

12x = 84

84 / 12 = 7.

Therefore, the value of x is 7.

The total measurements of the roof in square feet as required to be determined in the task content is; 2649 ft².

It follows from the task content that the total area of the roof as given in the task content is to be determined.

On this note, the area of the roof is the total area of the 71ft by 39 ft rectangle minus the area of the shaded region with dimensions 15 ft by 8 ft.

Therefore;

Area = (71 × 39) - (15 × 8)

= 2649 ft².

Ultimately, the total area measure of the roof in square feet is; 2649 square feet.

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Answer:

y = -3/5x - 5

Step-by-step explanation:

Slope intercept form: y = mx + b

We can subtract 3x from both sides to get:

5y = -3x - 25

Divide both sides by 5

y = -3/5x - 5

Using the z-distribution, the test statistic is:

c) -2.63.

At the null hypothesis we test if the means are equal, equivalent to a subtraction of 0, hence:

\(H_0: \mu_D - \mu_C = 0\)

At the alternative hypothesis, we test if they are different, hence:

\(H_1: \mu_D - \mu_C \neq 0\)

For each sample, they are given as follows:

For the distribution of differences, it is given by:

The test statistic is given by:

\(z = \frac{\overline{x} - \mu}{s}\)

In which \(\mu = 0\) is the value tested at the null hypothesis.

Hence:

\(z = \frac{\overline{x} - \mu}{s}\)

\(z = \frac{-2 - 0}{0.76}\)

z = -2.63.

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Answer:

904.32 cm³

Step-by-step explanation:

Assuming 12cm is the diameter.

The given solid is a sphere, we must find the volume.

Given radius:

\(6\)6

Use the equation \(v=\frac{4}{3} \pi r^3\) to find the volume of the sphere.

\(\frac{4}{3} \times\pi\times6^3\)

≈ 904.77868

Rounding, 904.32 cm³

Using matrices the simultaneous equation is solved to get x = 3 and y = 5

This method required finding determinants in three occasions then dividing

The given equation

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right]= \left[\begin{array}{c}19\\8\\\end{array}\right]\)

the determinant is

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right]\)

3 * 1 - 2 * 1 = 3 - 2 = 1

Solving for x

determinant while replacing x values

\(\left[\begin{array}{cc}19&2&\\8&1\\\end{array}\right]\)

19 * 1 - 2 * 8 = 19 - 16 = 3

solving for x = 3/1 = 3

Solving for y

determinant while replacing y values

\(\left[\begin{array}{cc}3&19&\\1&8\\\end{array}\right]\)

3 * 8 - 19 * 1 = 24 - 19 = 5

solving for y = 5/1 = 5

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Answer:

Step-by-step explanation:

The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

We know that V = 5,890.625 cm^3, h = 14.5 cm, and l = 25 cm.

Substituting these values into the formula, we get:

5,890.625 = 25w(14.5)

5,890.625 = 362.5w

w = 16.25

Therefore, the width of the rectangular prism is 16.25 cm.

Answer:

It's A

Step-by-step explanation:
well all you have to do is divide like 5,890.625 dvided by 14.5 then divide again by 25 them bam you got 16.25

Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

The unknown angle of the triangle is 58 degrees.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, the unknown angle can be found using the external angle theorem.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle

Hence,

138 = x + 80

x = 138 - 80

x = 58 degrees

Therefore, the unknown angle is 58 degrees.

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Answer:

The answer is "\(\bold{\theta= 70.53^{\circ}}\)"

Step-by-step explanation:

The given value:

\(8x+8y+8z = 1\ and \ 8x-8y+8z = 1\)  

When the normal vectors are in the plane:  

\(n_1 = < 8,8,8 > \ and \ n_2 = < 8, -8, 8>:\)

Because the two variables really aren't proportional to each other and the wings are not parallel.  

Let us just find that two vectors' dot product.

\(n_1 \cdot n_2 =<8,8,8> < 8,—8,8>\\\\ = 64-64+ 64 \\\\ = 64 \neq 0\)

Therefore, we won't find that angle between both the given planes as parallel.

\(\cos \theta = \frac{n_1 \cdot n_2}{|n_1||n_2|}\\\\\cos \theta =\frac{64}{\sqrt{192} \sqrt{192}}\\\\\cos \theta =\frac{64}{8\sqrt{3} 8\sqrt{3}}\\\\\cos \theta = \frac{1}{3}\\\\ \theta = 70.53^{\circ}\)

It is required to know the orientation of one plane relative to the other.

The angle between the planes is 70.5°.

The given planes are

8x + 8y + 8z = 1

8x − 8y + 8z = 1

Parallel

\(\dfrac{8}{8}=\dfrac{8}{-8}=\dfrac{8}{8}\\\Rightarrow 1\neq -1\neq 1\)

The planes are not parallel.

Perpendicular

\(8\times 8+8\times -8+8\times8=64\neq 0\)

The planes are not perpendicular as dot product is not 0.

Finding angle

\(\theta=\cos^{-1}\dfrac{8\times 8+8\times -8+8\times8}{\sqrt{8^2+8^2+8^2}\sqrt{8^2+(-8)^2+8^2}}\\\Rightarrow \theta=\cos^{-1}\dfrac{1}{3}\\\Rightarrow \theta=70.53^{\circ}\)

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Answer:

27

900 jadi 3 -30 =27 100-1.000 =900

Answer:

100

Step-by-step explanation:

trust me

Answer:

- 72 - 48i

Step-by-step explanation:

note that i² = - 1

(6i)(- 2i)(- 6 - 4i)

= - 12i²(- 6 - 4i)

= - 12(- 1)(- 6 - 4i)

= 12(- 6 - 4i) ← distribute parenthesis by 12

= - 72 - 48i

Answer:

x = 44.3°

Step-by-step explanation:

Redrawing the triangle,

To obtain x, we can apply the trigonometric relation :

Sin x = opposite / hypotenus

Opposite side = 6.5

Hypotenus = 9.3

Sin x = 6.5/9.3

x = sin^-1(6.5 / 9.3)

x = 44.34

x = 44.3°

Out of the population being surveyed, the one that could result in a sample statistic but not a parameter is; B: 50

A sample statistic is a piece of information you get from a fraction of a population.

A parameter is a number describing a whole population (e.g., population mean), while a statistic is a number describing a sample (e.g., sample mean).

Now, we are told that a population consists of 5000 people. This means that the sample statistic could be the sample mean which could be 50 but certainly not 5000 as the sample statistic can't be same as the population.

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Expression: \(\displaystyle\sf (6-2x) +(15-3x)\)

Substituting \(\displaystyle\sf x=0.2\):

\(\displaystyle\sf (6-2(0.2)) +(15-3(0.2))\)

Simplifying the expression inside the parentheses:

\(\displaystyle\sf (6-0.4) +(15-0.6)\)

\(\displaystyle\sf 5.6 +14.4\)

Calculating the sum:

\(\displaystyle\sf 20\)

Therefore, \(\displaystyle\sf (6-2x) +(15-3x)\) evaluated at \(\displaystyle\sf x=0.2\) is equal to \(\displaystyle\sf 20\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

In order to explain why -4 - 2 equals -8, let's start with the equation 0.2 = 0. By analyzing this equation, we can uncover the reason behind this seemingly counterintuitive result.

1. Begin with the equation 0.2 = 0.

2. Subtract 0.2 from both sides of the equation to isolate the variable: 0.2 - 0.2 = 0 - 0.2.

  This simplifies to 0 = -0.2.

3. Observe that the right side of the equation, -0.2, is a negative number.

4. Recall that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, -0.2 is the same as +0.2.

5. Rewrite the equation as 0 = +0.2.

6. Notice that 0 on the left side of the equation is equal to 0 + 0, since any number added to zero remains unchanged.

7. Substitute 0 + 0 for 0 in the equation: 0 + 0 = +0.2.

8. Simplify the equation to 0 = +0.2.

9. Finally, recognize that a positive number cannot equal zero. Hence, the equation 0 = +0.2 is false.

10. As a result, the original equation 0.2 = 0 is invalid.

11. Therefore, the logical consequence is that any subsequent deductions based on this invalid equation would also be incorrect.

12. Consequently, -4 - 2 does not equal -8, as per the explanation derived from the flawed equation.

To summarize, by analyzing the equation 0.2 = 0, we can determine that subsequent deductions based on this equation are incorrect. Hence, -4 - 2 does not equal -8.

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