complete the table below to show the differences bettween algebraic expression and equation

Answer:

B. Yes, all the conditions are met.

Step-by-step explanation:

According to the question

There is a random sample of 111 people also these people are independent

The population size is also not given so we assume that it should be on infinity i.e. it should be more than 10 times higher as compared with the sample size

And, the number of success in the sample is 93

So, the number of failure would be

= 111 - 93

= 18

So, the 93 and 18 would be higher than 10

Therefore, the option b is correct

Answer:

75

90

15, i think ??

165

hope this helps !!!! :D

Step-by-step explanation:

Solution:

Here,

In triangle LKM,

6x+5x+x=180

12x=180

x=180/12

x=15

Now,

1.75

2.90

3.15

4.165

Answer:

72. If the second 3cm has some relevance, leave a note and I'll come back and modify my answer.

Step-by-step explanation:

Givens

L = 6 cm

W = 3 cm

H = 2 cm

I don't know what the extra 3 cm is for.

Formula

SA = 2*L*W + 2*L*H + 2*H*W

SA = 2*6*3 + 2*6*2 + 2*2*3

SA = 36 + 24 + 12

SA = 72

Answer:

Step-by-step explanation:

Unit digit of [tex]3^{25} + 325[/tex] is 8.

Thus option E is correct .

Given , expression [tex]3^{25} + 325[/tex]

To identify the unit digit firstly the cyclicity of 3 ,

Cyclicity of 3 :

[tex]3^1 = 3\\\\3^2 = 9\\\\3^3 = 27\\\\3^4 = 81\\\\3^5 = 243\\\\3^6 = 729\\\\3^7 = 2187[/tex]

[tex]3^8 = 6561[/tex]

Here the cyclicity of 3 is 4 that is the unit digit of exponent of 3 will be repeating after every fourth power.

Here, the exponent of 3 is 25.

Divide 25 by the cyclicity of 3.

25/4

Remainder = 1

Hence the unit digit of [tex]3^{25[/tex] will be 3.

Unit digit of 325  is 5.

Add 5 + 3

= 8

Hence the unit digit will be 8.

Option E is correct .

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Answer: C

Step-by-step explanation: In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points.

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Answer:

  draw the line using a ruler on which you have identified points 2 7/16 inches apart

Step-by-step explanation:

On your ruler graduated in inches with marks at 1/16-inch intervals, locate the 0 mark and the mark 1/16 inch before the half-inch mark between 2 and 3 inches.

Draw your line along the edge of the ruler between the two marks you have identified: 0 and 2 7/16. The line will be 2 7/16 inches long.

Answer:

[tex]\sin 117^{\circ} \approx 0.8910[/tex]

Step-by-step explanation:

Sine reaches upper bound when [tex]\theta = 90^{\circ}[/tex] and then decreases until reaches lower bound when [tex]\theta = 180^{\circ}[/tex]. By symmetry, we find the following fact:

[tex]\sin 117^{\circ} = \sin (90^{\circ}+27^{\circ}) = \sin (90^{\circ}-27^{\circ})[/tex]

[tex]\sin 117^{\circ} = \sin 63^{\circ}[/tex]

By information form table we find that:

[tex]\sin 63^{\circ} \approx 0.8910[/tex]

Therefore, we conclude that value of the given angle is:

[tex]\sin 117^{\circ} \approx 0.8910[/tex]

Answer:

128 :)

Step-by-step explanation:

The area of the given triangle in the figure is 64 ft.².

A triangle is one of the most elementary geometric figures with 3 edges, 3 angles, and 3 vertices. The sum of the three angles of a triangle is 360°. The area of a triangle can be found using many methods but the most basic method is to half the product of height and length of the base of the triangle.

Given that

The height of the given triangle is 16 ft. and the length of the base is 16 ft.

As it is known that the area of a triangle is defined as

[tex]Area\ of\ a\ triangle = \frac{1}{2}\times height\times base[/tex]

So,

[tex]Area\ of\ a\ triangle = \frac{1}{2}\times 8\times 16\\Area\ of\ the\ triangle = 64 ft.^2[/tex]

Thus, the area of the given triangle is 64 ft.².

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Answer:

x= 3

Step-by-step explanation:

12 ÷ 4 +3

The algebraic expression 4x = 12 represents "four x equals twelve" and the solution of the expression 4x = 12 is the value of variable x is 3.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The given statement is "four x equals twelve"

According to the given question, translate the phrase into an algebraic expression:

⇒ 4x = 12

Thus, the algebraic expression is 4x = 12 represents "four x equals twelve"

Now the above expression solves for variable x,

⇒ 4x = 12

Divided by 4 into both sides of the above equation,

⇒ 4x / 4 = 12 / 4

⇒ x = 3

Therefore, the solution of the expression 4x = 12 is the value of variable x is 3.

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Answer:

t = 5.79

Step-by-step explanation:

Given the regression line equation :

Cˆ=182+2.2A

Null ; H0:β=0

Alternative ; Ha:β≠0

Comparing with the general for of a linear regression equation :

y = bx + c

b =slope Coefficient ; c = intercept

b = 2.2 (from equation given)

The test statistic :

t = (Slope, b - null, β) / standard error of slope, E

(b - β) / E

(2.2 - 0) / 0.38

t = 2.2 / 0.38

t = 5.7894736

t = 5.79

Answer:

To maximize the profits of the company, the subscription price should be raised to $ 22.

Step-by-step explanation:

Given that a bi-monthly sports magazine has 48,000 subscribers when it charges $ 20 for a one year subscription, and for every $ 1 increase in the yearly subscription price, the magazine assumes that it will lose 2,000 subscribers resulting in the equation below, to determine, Using the equation below, how much should the magazine sell for in order to maximize revenues, the following calculations should be performed:

f (x) = (48,000 - 2,000x) (20 + x)

X = 48,000 x 20 = 960,000

X = (48,000 - 2,000x1) x (20 + 1)

X = 46,000 x 21

X = 966,000

X = (48,000 - 2,000x2) x (20 + 2)

X = 44,000 x 22

X = 968,000

X = (48,000 - 2,000x4) x (20 + 4)

X = 40,000 x 24

X = 960,000

Therefore, to maximize the profits of the company, the subscription price should be raised to $ 22.

ok here you go its B

Answer:

[tex](3x - 5)(x - 2) = 3 {x}^{2} - 6x - 5x + 10 \\ = 3 {x}^{2} - 11x + 10[/tex]

Answer:

median is 2

mean is 6.333

Step-by-step explanation:

arranging values in ascending or descending order you pick the middle for odd numbers which is 2. mean is sum of the total data divided by the number of items in the set which is 2+8+4+10+6+8 divide by 6 which is 6.333

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Answer:

  B.  (4, 5π/3)

Step-by-step explanation:

If you sketch the location of the point, you find the coordinates correspond to the side lengths of a 30°-60°-90° "special" triangle. The reference angle is 60°, or π/3 radians, and the magnitude of the vector is twice the short dimension, so is 2×2 = 4.

The polar coordinates are (4, 5π/3).

Answer:

Привет! Кто-нибудь читал Криспину крест ведущего? Если да, то может ли кто-нибудь дать мне представление о том, как он изменился в этой истории! Спасибо за ваше время!

Step-by-step explanation:

Answer:

0.6

Step-by-step explanation:

Answer:

322223

Step-by-step explanation:

Answer:

The pvalue of Z when X = 104.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

What is the probability that, for an adult after a 12-hour fast, x is less than 104?

This is the pvalue of Z when X = 104.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{104 - \mu}{\sigma}[/tex]

[tex]\mu[/tex] and [tex]\sigma[/tex] are the values of the mean and of the standard deviation, respectively.

Answer:

But, you didn't ask any question.

Step-by-step explanation:

Remember to post your question next time.

Answer:

Test statistics of 1.455

P-value = 0.0728

Step-by-step explanation:

From the given information:

The test statistics can be computed as:

[tex]Z = \dfrac{\hat p - p }{\sqrt{\dfrac{p(1-p)}{n} }} \\ \\ \\ Z = \dfrac{0.44 -0.32}{\sqrt{\dfrac{0.32(1-0.32)}{32} }}[/tex]

Z = 1.455

We want to test if the customer satisfaction increased significantly(one-tailed test)

Null hypothesis:

[tex]H_o : p= 0.32[/tex]

Alternative hypothesis:

[tex]H_a: p>0.32[/tex]

P-value = P(Z>1.455)

= 0.0728

b) Type II error implies the error of accepting [tex]H_o \ (i.e\ \text{ the null \ hypothesis)}[/tex]when [tex]H_a \ (i.e\ \text{ the alternative \ hypothesis)}[/tex] is true.

This implies inferring that there is no huge improvement in passenger's satisfaction when there is.

c) Type 1 and Type II errors are inversely proportional. In this situation, as one increases, the other definitely decreases.

∴ A Smaller value of Type II error will be achieved by a higher type I error.

⇒ 0.10

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Answer:

  A) down

  B) 25 m; 200 m/s

  C) (20.41, 2065.82)

Step-by-step explanation:

When you are first introduced to equations for ballistic motion, you may be told that the formula is ...

  h(t) = -4.9t² +v₀t +h₀ . . . . . height in meters at time t seconds

where v₀ is the initial upward velocity in meters per second, and h₀ is the initial height in meters.

When you are first introduced to quadratic equations, and the vertex form in particular, you may be told that the form is ...

  f(x) = a(x -h)² +k . . . . . . . vertex (h, k) and vertical scale factor 'a'

When the scale factor (or leading coefficient) is negative the graph of the parabola opens downward. When it is positive, the graph opens upward.

Knowing these things, you are prepared to match the given equation to these patterns.

__

Part A: We observe that the leading coefficient of the function (-4.9) is negative, so the parabola opens down.

__

Part B: The constant in the first given equation is 25, so the initial height is 25 meters.

The coefficient of t in the first given equation is 200, so the initial velocity of the rocket is 200 m/s.

__

Part C: The vertex can be read from the second equation as ...

  (h, k) = (20.41, 2065.82)

Answer:

2+3=5

3+3=6

4+3=7

5+3=8

6+3=9

Step-by-step explanation:

Answer:

22.5 cm

Step-by-step explanation:

length times width times height

Answer: the chances are 5 out of 15 so in 30 draws she would draw 10 green hope it helps

Answer: The answer is C. x = 3.46 cm i believe. sorry if im wrong

Step-by-step explanation:

Answer:

2.4 cm

Step-by-step explanation:

Since that they are similar, what you can do is:

3.0/1.2 = 2.5

1.2 * 2.5 = 3.0

0.96 * 2.5 = 2.4 cm

Answer:

A=lw+l(w

2)2+h2+w(l

2)2+h2

Step-by-step explanation: