What is the vertex of the absolute value function below?
2
8
5
4 3 2
1+
5
4
-
1
2
-2
(-3,-2)
(-3.2)
0 (
2-3)
123)

The solution to the quadratic equation x² - 4x + 1 = 0 is x = ( 4 ±√12 ) / 2

A quadratic equation in its standard form is expressed as;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given the quadratic equation in the question;

x² - 4x + 1 = 0

We substitute this values into the quadratic formula above and solve for x.

x = (-b±√(b² - 4ac)) / (2a)

x = ( -(-4) ±√( (-4)² - ( 4 × 1 × 1)) / (2 × 1)

x = ( 4 ±√( 16 - 4) ) / (2)

x = ( 4 ±√12 ) / 2

Therefore, ( 4 ±√12 ) / 2 is the solution to the equation.

Option C) ( 4 ±√12 ) / 2 is the correct answer.

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Answer:

Statiscal

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary. and this question can have more then one varitve of answers

Answer:

4.56, so he should expect between 4 and 5 of them to contain fewer than 34 nuts.

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.

Mean 42 and standard deviation 4.

This means that [tex]\mu = 42, \sigma = 4[/tex]

Proportion with fewer than 34 nuts:

p-value of Z when X = 34. So

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

[tex]Z = \frac{34 - 42}{4}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228.

Out of 200 bags:

0.0228*200 = 4.56.

4.56, so he should expect between 4 and 5 of them to contain fewer than 34 nuts.

Answer:

84.13% aka. 101/120 students

Step-by-step explanation:

P(X>65) = normalcdf(65,100,72,7) = 0.8413130544 ≈ 0.8413 ≈ 84.13%

Therefore, about 84.13% of the scores were 65 or higher, meaning that about 101 students got a score of 65 or higher.

84% of students have a score of 65 or higher.

'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'

According to the given problem,

For this sum, the mean and standard deviation are mentioned.

Mean = 72

S.D = 7

We will be using the bell curve of normal distribution for solving this sum.

Area under the curve that represents more than 65:

=  34% + 34% + 13.50% + 2.35% + 0.15%

=  84%

Hence, we can conclude that 84% of the scores were 65 or higher.

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Answer:

10

Step-by-step explanation:

2.50 4 times

Answer: 10

Step-by-step explanation:

Answer:

im pretty sure its a but i could be wrong ✋

Answer: 98

Step-by-step explanation:

First find the mean of the numbers you currently have.

93 + 95 + 89 + 95 + 100

and divide by 5 to get 94.4.

Now you need to find the extra number.

The number has to be higher than 94. I know there is an easier way, but I started by adding 100 and kept going down til I was at 98.

93 + 95 + 89 + 95 + 100 + 98

divided by 6 is 95

Answer:

the correct answer is 6a³

Answer:

6a³

Step-by-step explanation:

First find the GCF of the numbers, which is the easy part...

The largest number that 24, 18, and 12 can all be divided by is 6.

So 6 is the first part of the GCF.

Now for the variable...

The smallest exponent in an instance of the variable is 3.

So a³ is the variable part.

GCF: 6a³

Answer:

1/5

Step-by-step explanation:

assuming all wedges are the same size, and there are five of them, in theory each color has an equal chance of being landed on

Answer:

68

Step-by-step explanation:

A P E X

Answer:

B

Step-by-step explanation:

we have to subtract the volume of the biggest one from the volume of the smallest one

for find the volume it is used the radius, not the diameter

Answer:

The total quantity of matter contained in an object is called its mass.

It is scalar quantity.

It is measured by beam balance.

Mass of the object remains constant at all the places.

We can measure mass of an object by its inertia.

SI unit of mass is ”kg”.

brainlest answer plz ..

Answer:

Step-by-step explanation:

Answer:

Tyler should make 8 a day. You do 122-66 which is 56 and there are 7 days in a week so 56 divide by 7 is 8.

Tyler has to make 8 invitations each day.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

Total number of invitations to the fair = 122

Already, 66 invitations has been made.

Remaining invitations = 122 - 66 = 56

56 invitations has to be made in a week or 7 days.

Let x be the number of invitations made each week.

x = 56 / 7 = 8

Hence 8 invitations has to be made each day.

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Your question is incomplete. The complete question is as follows.

Tyler is making invitations to the fair. He has already made some of the invitations, and he wants to finish the rest of them within a week. He is trying to spread out the remaining work, to make the same number of invitations each day. Tyler draws a diagram to represent the situation.

The total of the x's and 66 is 122.

How many total invitations is Tyler trying to make?

Answer:

32

Step-by-step explanation:

you gave me the answer :)

Answer:

32

Step-by-step explanation: its in your question

Answer:

The x in this question is 151 degrees

Answer:

13.6

Step-by-step explanation:

Answer:

A = -7/9

Step-by-step explanation:

7 / -9  

Move the negative to the top

-7 / 9

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\text{A) }\frac{-7}{9}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻ [tex]\boxed{\text{Equivalent Faction}}\\\\\rightarrow \frac{7}{-9}= -0.77777...... \leftarrow\\\\------------\\\text{Option A: } \frac{-7}{9} = -0.77777......\\\\\text{Option B: } \frac{-7}{-9}= 0.77777......\\\\\boxed{\text{Recall that if two numbers have the same sign then the product or quotient would be positive.}}\\\\\text{Option C: }\frac{7}{-(-9)}=\frac{7}{9} = 0.77777......\\\\\text{Option D: } \frac{-(-7)}{9}=\frac{7}{9} = 0.77777......[/tex]⸻⸻⸻⸻

Option A's fraction is equivalent.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

40 books

Step-by-step explanation:

Divide 20 kg by 500 g, or, alternatively, divide 20 kg by 0.5 kg.

Either way, the result is 20/0.5, or 40.

40 books of the same mass would have the same mass as the bookcase.

Hope this helps :)

Answer:

40

Step-by-step explanation:

.5kg*40=20kg

40 books

Answer:

1.5

Step-by-step explanation:

So 1% goes on office work

and 1%=0.01

Then we can multiply 0.01 by 150 to get the answer:)

plz give brainliest:)

Answer

Equation: m - 12 = 20

Answer:

120° or 300°

Step-by-step explanation:

Given,

Slope (m) = -√3

Inclination (α) = ?

Now,

We know,

m = tanα

or, -√3 = tanα

or, tan(120° or 300°)  = tanα

∴ α = 120° or 300°

∴ Inclination is 120° or 300°

Answer:

awnser c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

She swims 9m in one second

Step-by-step explanation:

Answer:

∠ EDC = 55°

Step-by-step explanation:

Since Δ ADE is isosceles then the 2 base angles are congruent , then

∠ EDA = [tex]\frac{180-20}{2}[/tex] = [tex]\frac{160}{2}[/tex] = 80°

Similarly for Δ BCD

∠ CDB = [tex]\frac{180-90}{2}[/tex] = [tex]\frac{90}{2}[/tex] = 45°

The 3 angles on AB sum to 180° , that is

80° + ∠ EDC + 45° = 180°

∠ EDC + 125° = 180° ( subtract 125° from both sides )

∠ EDC = 55°

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

(When you simplify both numbers, you get 1)

Hope it helps!

Brainliest pls!

Follow me! :)

Imagine cutting up a pizza into 5 slices

If you take 2 slices, then you take 2 out of the 5, so the fractional amount you took is 2/5 of the full pizza.

If your friend takes 3 slices, then she or he takes 3/5 of the full pizza

Adding the two fractional amounts should get us back to 1 full pizza, which is why 2/5+3/5 = 1.

-----------

We could say this:

2/5 + 3/5 = (2+3)/5 = 5/5 = 1

Dividing any number over itself, as long it's not zero, always leads to 1.

So that's why 5/5 = 1.

Answer:

7.96 cm

Step-by-step explanation:

radius of bottom: 19/2 = 9.5

area of bottom = pi * r^2 = 283.53

height * base area = volume