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The Critical z-values are -1.96 and 1.96 option second is correct.

It is given that the teachers were allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes.

It is required to find the critical z-values.

It is defined as the area region enclosed by the standard normal curve or bell curve. It gives an idea about every variable, and what value of probability the variables acquire.

We are assuming the data given below:

x = 3.5

[tex]\mu =3.3[/tex]

[tex]\sigma = 0.6[/tex]

n = 40

We know the formula for the Z score:

[tex]\rm Z = \frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

[tex]\rm Z = \frac{3.5-3.3}{\frac{0.6}{\sqrt{40} } }[/tex]

Z = 2.10

The area under the normal distribution curve:

P(Z= 2.10)  = 0.9821   ( from the z table)

We have null hypothesis H0: in the two groups, the level of job satisfaction is the same ie. with no difference.

H1: There is a significant difference in levels of job satisfaction.

The above hypothesis defined that the test is two-tailed which means there will be two rejection regions.

The critical z-values are:

-1.96 and 1.96  (from the critical value calculator at a 5% significance level with two-tailed)

Thus, the Critical z-values are -1.96 and 1.96 option second is correct.

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Answer:

true because the center of the triangle is in the middle

Answer:

40 percent

Step-by-step explanation:

100 / 5 = 20

⅕ = 20 percent

⅗ = 60 percent

100 - 60 = 40

Answer:

∠ YZX ≈ 19.7°

Step-by-step explanation:

using the sine ratio in the right triangle.

sin YZX = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{XY}{YZ}[/tex] = [tex]\frac{7.5}{22.3}[/tex] , then

∠ YZX = [tex]sin^{-1}[/tex] ( [tex]\frac{7.5}{22.3}[/tex] ) ≈ 19.7° ( to 3 significant figures )

The amount of fabric needed to cover 8 blocks is 192cm.

In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.

Total surface area of a rectangular prism = 2 (lw + wh + lh)

where:

2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm

Fabric needed fo 8 blocks = 24 x 8 = 192cm

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Answer:

The amount of fabric needed to cover 8 blocks is 192cm.

How much fabric is needed to cover 8 blocks?

In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.

Total surface area of a rectangular prism = 2 (lw + wh + lh)

where:

l = length

w = width

h = height

2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm

Fabric needed fo 8 blocks = 24 x 8 = 192cm

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

Because if you multiply 10 by 10 you get 100 and then multiply 100by 2.5

Answer:

Using it's concept, it is found that there is a 8.3% probability of flipping a head AND rolling a 3.

Answer:

2

Step-by-step explanation:

Yessir

Answer:

The answers are A, B, C, and probably F

Step-by-step explanation:

Volume is how much space an object takes up, while surface area is how much space is on the surface of the object. In option A, we are measuring how much gas can fit in a tank, so volume is used. B and C are also dealing with filling a container. Options D, E, and G are measuring the surface area because they are asking how much of something is needed to cover the surface of a car, barn, and gift. In option F, assuming that the jewelry is pure gold, not just a metal with a gold coating, volume is used.

Hope this helps!

48 /   -8 = -6

-40 /  8 = -5

12  -  (-2) = 14

18 -  (-12) = 6

18 -  (-20) = -2

22  x  (-0.5) = 11

Answer:

139.0932

Step-by-step explanation:

729×18%×(1+6%)

729x0.18x(1+0.06)

729x0.18x1.06

139.0932

as far as I can read that, well, the company has a revenue income of 8250000 and their expenditure on purchases is 49% of that amount, how much is that?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{49\% of 8250000}}{\left( \cfrac{49}{100} \right)8250000}\implies 4042500[/tex]

so on saving 2.05% of purchasing expenses or namely 2.05% of 4042500

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{2.05\% of 4042500}}{\left( \cfrac{2.05}{100} \right)4042500}\implies 82871.25[/tex]

so sales must be increased by that much in order to match the 2.05% of 4042500.

Answer:

Three digit number to be divisible by 5 , the last digit should be 5 or 0

_ _ _5

Two remaining places can be filled in 4×3=12

_ _ _0

Two remaining places can be filled in 3×3=9 (0 cannot be filled in the first place, it will become 2 digit number).

Total =12+9=21

Answer:

2 that's what soup calculated says

Answer:

Step-by-step explanation:

Answer:

for the first student in the line there are 10 choices,then for the 9 choices left,for the third 8 choices left and so on...

so its 10x9x8x7x6x5x4x3x2x1=3628800

Step-by-step explanation:

sana makatulong

Answer:

x = 4

Step-by-step explanation:

3x - 2y = 6 → (1)

x + 2y = 10 → (2)

add (1 ) and (2) term by term to eliminate y

(3x + x) + (- 2y + 2y) = 6 + 10 , that is

4x = 16 ( divide both sides by 4 )

x = 4

Answer:

  28 and 32

Step-by-step explanation:

The product indicated in your problem statement is ...

  (30 -2)(30 +2)

  = 28 × 32

The two numbers are 28 and 32.

__

The equivalent (30^2 -2^2) means that product is 900 -4 = 896.

Answer:

- 17° C

Step-by-step explanation:

the temperature falls at 3° per hour

midnight → 5.00 am is 5 hours , then

5 × - 3 = - 15 ← falls 15° in the 5 hours

temperature at 5..00 am = - 2 - 15 = - 17° C

Answer:

-17

Step-by-step explanation:

as it is falling by three so at 5am it will reach -17

Eukaryotic cells have a true membrane-bound nucleus and prokaryotes do not.

Eukaryotic cells are larger than prokaryotic cells and have a “true” nucleus, membrane-bound organelles, and rod-shaped chromosomes. The nucleus houses the cell's DNA and directs the synthesis of proteins and ribosomes.

All cells have a plasma membrane, ribosomes, cytoplasm, and DNA. Prokaryotic cells lack a nucleus and membrane-bound structures. Eukaryotic cells have a nucleus and membrane-bound structures called organelles.

So..the answer should be Eukaryotic cells have a true membrane-bound nucleus and prokaryotes do not.

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Answer:

Prokaryotes

✔ do not have

a nucleus surrounding their chromosome of DNA.

Prokaryotes are

✔ more

simple cells than eukaryotes.

Prokaryotes have a

✔ cell wall

outside their cell membrane that gives protection and support.

Prokaryotes will often move by a tail-like

✔ flagellum

.

Step-by-step explanation:

Answer:

A = 41

B = 31

Step-by-step explanation:

angles in a triangle add up to 180 degrees

the three angles in this triangle: 108, x+5, x-5

added up, we get

108 + (x+5) + (x - 5) = 180

= 108 + 2x + 5 - 5

= 108 + 2x

subtract 108 from both sides to isolate the variable and its coefficient

72 = 2x

divide both sides by 2 to solve for x

x = 36

A = x + 5 = 36 + 5 = 41

B = x - 5 = 36 - 5 = 31

The total length of the trip is approximately 700 miles as per the concept of percentage.

To find the total length of the trip, we need to determine the distance covered before Ella fell asleep and then calculate the whole trip's length.

Let's denote the total length of the trip as "T" miles.

Ella slept through the last 14% of the trip, so she was awake for the first 100% - 14% = 86% of the trip.

The distance covered before Ella fell asleep is 86% of the total trip's length:

86% of T = 0.86T

We know that Ella fell asleep after they had traveled 602 miles, so we can set up the following equation:

0.86T = 602

To find the total length of the trip, we solve for T:

T = 602 / 0.86

T ≈ 700

The total length of the trip is approximately 700 miles. Ella's family traveled this distance, and Ella fell asleep after they had traveled 602 miles, which is 86% of the total trip's length.

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Answer:

Step-by-step explanation:

4x + y = 8

x + 3y = 8

[tex]Here, \dfrac{a_{1}}{a_{2}}=\dfrac{4}{1}\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{1}{3}\\\\\\\dfrac{a_{1}}{a_{2}} \neq \dfrac{b_{1}}{b_{2}}[/tex]

So, this system of equations is consistent and independent.

-4x + 6y = -2

2x - 3y = 1

[tex]\dfrac{a_{1}}{a_2}}=\dfrac{-4}{2}=\dfrac{-2}{1}\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{6}{-3}=\dfrac{-2}{1}\\\\\\\dfrac{c_{1}}{c_{2}}=\dfrac{-2}{1}\\\\\\\dfrac{a_{1}}{a_{2}}=\dfrac{b_{1}}{b_{2}}=\dfrac{c_{1}}{c_{2}}[/tex]

So, the system of linear equations are consistent and dependent.

5x -2y = 4

5x - 2y = 6

[tex]\dfrac{a_{1}}{a_{2}}=\dfrac{5}{5}=1\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{-2}{-2}=1\\\\\\\dfrac{c_{1}}{c_{2}}=\dfrac{4}{6}=\dfrac{2}{3}\\\\\\ \dfrac{a_{1}}{a_{2}}=\dfrac{b_{1}}{b_{2}} \neq \dfrac{c_{1}}{c_{2}}[/tex]

This system of equations is inconsistent.

Answer:X = 13

Step-by-step explanation:

An exterior angle is equal to the sum of the two opposite interior angle

⇒95=4x+3 + 3x+ 1

95=4x + 3x + 3 + 1

95=7x + 4

95-4=7x

91=7x

91/7=x

13=x

This implies that X= 13

Since "a" is on the top and the bottom, you can simplify that

[tex]\frac{a^2b^2}{ac}[/tex]

[tex]\frac{ab^2}{c}[/tex]

Answer

The population of the city in 24 years will

be approximately 2,024,467.3206337208

What is the population in 24 years?

The formula for calculating future value:

Population:- 2,024,466

Answer:

-180√3

Step-by-step explanation:

3√10 x - 6√30

= 3x-6 x -√10 x √30

= -18 x√300

= -18 x 10√3

= -180√3

Answer:

50²

Step-by-step explanation:

(2×10⁵) ÷ (4×10²)

2 × 100000 ÷ 4 × 100

200000 ÷ 400

= 500

= 50²