Leandro wants to build a one-sample
z
zz interval with
98
%
98%98, percent confidence to estimate the proportion of light bulbs that arrive broken upon shipment to his store. He takes a random sample of
500
500500 bulbs and finds that
25
2525 arrived broken.

Answer:

x = -2+√3i and -2-√3i

Step-by-step explanation:

The formula for the general formula is expressed as;

x = -b±√b²-4ac/2a

Given the expression

x²+4x+7 = 0

a = 1, b = 4 and c = 7

Substitute

x = -4±√4²-4(1)(7)/2(1)

x  = -4±√16-28/2

x = -4±√-12/2

x = -4±√4*-3/2

x = -4±2√-3/2

x = -4±2√3i/2

x = -4+2√3i/2 and  -4-2√3/2

x = -2+√3i and -2-√3i

Answer:

The answer is "4.3".

Step-by-step explanation:

Given:

[tex]\to x^3 - 5x - 59 = 0[/tex]

When [tex]x = 4.1:[/tex]  

[tex]\to f(4.1) = (4.1)^3 - 5(4.1) - 59 = -10.579[/tex]

When [tex]x= 4.2:[/tex]

[tex]f(4.2) = 4.2^3 - 5(4.2) - 59 = -5.912[/tex]

When [tex]x = 4.3:[/tex]

[tex]\to f(4.3) = -0.993[/tex] (closer to 0)

[tex]\to f(4.4) = 4.184[/tex]

When [tex]x = 4.35:[/tex]

[tex]\to f(4.35) = 1.563[/tex]

When the root is closer to 4.3 than 4.4 So, 1.563 is closer to zero than 4.184.

When [tex]x = 4.32:[/tex]

[tex]\to f(4.32) = 0.0216[/tex] close to zero.

So the answer is 4.3 to 1 decimal place.  

Answer:

I think D is right, because usually congruent angles have the same angle measure, and there's no answer choice for 1 and 3.

Answer:

4in squared

Step-by-step explanation:

We know that cubes have equal parts all around, and it is basic knowledge for the most part to know 4x4x4 = 64. Therefore, each length must be 4, length, width,and height are all 4.

Answer:

0.0108 kg

Step-by-step explanation:

Jiri is on a special diet

Over 5 days he eats 0.054

Therefore the food consumed in a day can be calculated as follows

5 days= 0.054

1 day= 0.054/5

= 0.0108kg

Answer:

Orinal number of cats=  171

Step-by-step explanation:

Giving the following information:

Decrease in population= 30%

Current population= 120

To calculate the original number of cats, we need to use the following formula:

Orinal number of cats= current population / (1 - decrease)

Orinal number of cats= 120 / (1 - 0.3)

Orinal number of cats=  171

Answer:

48 cents

Step-by-step explanation:

Answer:

48 cents

Step-by-step explanation:

Based on the data, the statement that is most likely correct is D. In Grade 9, 18% of students liked running.

The ratio (fraction or proportion) of the number of times a data value appears in the set of all outcomes to the total number of outcomes is known as the relative frequency.

From the information, the Dean collected data on the favorite sports of the students of two grades.

Here, the table shows the relative frequencies of rows for the data collected:

Swimming      Running Volleyball Row     totals

Grade 8          0.17       0.24              0.05     0.46

Grade 9           0.14       0.18             0.22      0.54

Column totals 0.31      0.42              0.27        1

In the table, Grade 9, 18% of students liked running. This is Illustrated above. The correct option is D.

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If p(x) is a polynomial function with p ( 3/4 ) = 0 , then the function has a factor of (4x – 3).

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

If p(x) is a polynomial function with p ( 3/4 ) = 0

Then we need to find which of the given statements are true.

A. The function has a factor of (4x + 3).

If x=3/4 then 4(3/4)+3 which is not equal to zero

B. The function has a factor of (4x – 3).

If x=3/4 then 4(3/4)-3 which is equal to zero

C. The function has a factor of (3x + 4).

If x=3/4 then 3(3/4)+4 which is not equal to zero

D. The function has a factor of (3x – 4).

If x=3/4 then 3(3/4)-4 which is not equal to zero

Hence, If p(x) is a polynomial function with p ( 3/4 ) = 0 , then the function has a factor of (4x – 3).

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Answer:

2,30

the difference between 3,45 and 4,60 is 1,15. So if you add 1,15 and 1,15 it will be 2,30. you can't do 1,10 because the rate is 1,15 neither can you do 6,85 because 5,75 plus 1,15 is 6,90 not 6,85 so 2,30 is the final choice.

On solving the provided question, we can say that by unitary method With ten power crystals, 35 zombie troops can be raised.

What is unitary method ?

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Liliana raised 14 zombie troops with the help of four dark power stones.

Zombie troops can be increased to a total of 14 with 4 Dark power crystals. Zombies can be raised with 1 Dark power crystal, or 14/4.

Zombie soldiers can be raised using 1 Dark power crystal, or 7/2.

Zombie troops can be generated with 1 Dark power crystal by adding 10 to 7/2. You can produce 5 * 7 zombie troops with 1 Dark power crystal.

35 zombie troops can be generated with 1 dark power crystal.

With ten power crystals, 35 zombie troops can be raised.

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Can be cracked within eight hours by the average hacker.

With spaces included in the character count, 8 characters equals between 1 and 2 words. If spaces are excluded from the character count, 8 characters equals between 1 and 3 words.

There are 8-character passwords with capital letters, lowercase letters, and numerals that begin and end with the same symbol.A password of eight characters with just lowercase and capital letters offers 200 billion potential permutations.“1uppercase” is an example of an 8-character password. This password has one uppercase, one lowercase, one number, and one special character.

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Answer:

12

Step-by-step explanation:

Just count the dots

The measure of the exterior angle of the triangle is 139°.

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.

From the two given angles are 75° and 64° and exterior angle is 2.

Now, ∠2=75°+64°

∠2=139°

Therefore, the measure of the exterior angle of the triangle is 139°.

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Answer:

If x-3 is directly proportional to the square of y, then we can say that:

(x-3) = ky^2

Where k is a constant of proportionality.

If x=5 when y=2, we can substitute these values into the equation to find the value of k:

(5-3) = k(2)^2

2 = 4k

k = 0.5

Now that we have the value of k, we can use it to find the value of x when y=6:

(x-3) = (0.5)(6)^2

x-3 = 18

x = 21

So, if x is directly proportional to the square of y and x=5 when y=2, then x=21 when y=6.

A watch increased in price by 4/5 is priced at £126, then the original price of the watch was £100.

We know that the price of the watch increased by 4/5. To find the original price of the watch, we can use the following formula:

original price = new price / (1 + increase percentage)

In this case, the new price of the watch is £126 and the increase rate is 4/5. So we have:

original price(1 + 4/5) = 126

original price = 126 / (1 + 4/5)

original price = 126 / (1+ 0.8)

original price = 126/1.8

original price = 70

So, the original price of the watch was £70.

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Answer:

x = 2 2/5

Step-by-step explanation:

I will insert an image of my work below

The value of x is 12/5 from the equation 2x+[tex]4\frac{1}{5}[/tex]=9

Two or more expressions with an Equal sign is called as Equation.

The given equation is 2x+[tex]4\frac{1}{5}[/tex]=9

Two times of x plus four and one fifth equal to nine.

Convert the mixed fraction to improper

[tex]4\frac{1}{5}[/tex]=21/5

Now the equation will be 2x+21/5=9

Now subtract 21/5 from both sides by substitution property

2x=9-21/5

2x=45-21/5

2x=24/5

Divide both sides by two by division property.

x=24/10

x=12/5

Hence, the value of x is 12/5 from the equation 2x+[tex]4\frac{1}{5}[/tex]=9

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Answer:

Hi! Not sure if this is the answer you're looking for, but 12÷90 is 0.13333333333 repeating :)

Answer:

12/90 as a decimal is 0.13333333333 recurring

Step-by-step explanation:

simplified it should be 2/15

Answer:

c

Step-by-step explanation:

i think

Answer:

[tex]CB = 7.5[/tex]

Step-by-step explanation:

Well, if the question gave you a right triangle, an angle, and the side length of the side opposite to that angle, this question should scream (TRIGONOMETRY). So tap into your brain and think about how you can use sin, cosine, and/or tangent to solve the problem.

So notice that the question is asking for the side length of CB, the side adjacent to the angle C (53 degrees). Since we already have the length of the side opposite to C (10), we can use tangent, because we know the value of tan58 if we put it in a calculator, and we know the length opposite to C.

[tex]tan(53) = 10/CB[/tex]

[tex]CB * tan(53) = 10[/tex]

[tex]CB = \frac{10}{tan(53)}[/tex]

[tex]CB = \frac{10}{1.327} = 7.5359...[/tex]

Answer:

standard form

= x⁶ + 53x⁵ + 2x⁴ -2

Step-by-step explanation:

the degree is 6.

leading coefficient is 1

this is called a polynomial.

it has 4 terms

The fractions is simplified to 8ac²/ 5

A fraction can be described as the part of a whole element, number or variable.

There are different types of fractions, which includes;

Examples of improper fractions; 5/3, 7/5

Examples of proper fractions; 3/4, 5/6

Examples of mixed fractions; 3 1/2, 4 5/6

Examples of simple fractions; 1/2 , 1/ 4

From the information given, we have that;

[tex]\frac{32a^2bc^3}{20abc}[/tex]

This is simplified to;

32 × a × a × b × c × c × c/ 20 × a × b × c

Divide the common terms

8ac²/ 5

Hence, the fractions is 8ac²/ 5

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Answer:

True

Step-by-step explanation:

e^{i\pi} + 1 = 0

Simplifying and therefore meaning that the answer is true.

But in all seriousness 6*3 = 18

6*4a = 24a

So yes it is true :)

X²-3There are a number of ways to factor equations like x2 -3x+2=3x+2=0. If all the terms are positive: (x + ) (x + )=0,  If the center term is negative: ( (-)( x -)=0 • If the last or if both terms are negative: ( x +)(x-)=0

The following are the rulesIf, ll trinomial terms are positive, then all binomial terms will be positive.If the trinomial’s last term is negative but the middle and first terms are positive, one term of the binomial will be negative and the other will be positive.

If we can find two numbers whose product is A * C and whose sum is B, we may factor a trinomial of the type Ax2 + Bx + C. Exemplification 1. Determine if 4x2 + 8x + 3 can be factored. Solution. We want for two numbers whose product is (4)(3) = 12 and whose total is 8. (the coefficient of x).

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The right angled triangle is missing, so i have attached it.

Answer:

Proved below

Step-by-step explanation:

From the attached image, we can see that QP is parallel to BC.

Now, looking at triangles AQP and ABC, we can see that;

∠ AQP = ∠ ABC

Also;

∠ APQ = ∠ ACB

This means that triangles ABC and AQP are similar.

We are told that P is the mid-point of AC.

Thus; AP = PC

We can now say that;

AP:AC = 1:2 and AQ:AB = 1:2

Since AQ:AB = 1:2, it means Q is the midpoint of AB.

Now, ∠ AQP = ∠ BQP

However, according to SAS congruence test, AQP is congruent to BQP.

Thus; AP = BP = CP

Since AP:AC = 1:2 as we saw earlier, then;

BP:AC = 1:2

Thus:

BP/AC = ½

BP = ½AC

Answer:

m=20

Step-by-step explanation:

Solve the equation:

7m - 8 = 3 ( 2 m + 4)

Multiply 3 and (2m+4)

7m - 8 = 6m + 12

Add 8 to each side

7m = 6m + 20

Subtract 6m from both sides

m = 20

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Jacks meeting lasted for 160 min or 2 hrs 40 min.

Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future.

Given is that jacks meeting stared at 2:45 pm and ended at 5:25 pm.

The time for which the meeting lasted can be written as -

{i} = 2:45 pm

{i + 60 minutes} = 3:45 pm

{i + (2 x 60) minutes} = 4:45 pm

{i + (2 x 60 + 40) minutes} = 5:25 pm

{f} = 5 : 25 pm

The meeting lasted for -

2 x 60 + 40

160 minutes

or

2 hours 40 minutes

Therefore, Jacks meeting lasted for 160 min or 2 hrs 40 min.

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Answer:62

Step-by-step explanation: if you divide 10mm by 8mm you will get the celcius of negative 98mm then count the right angle vice versa and you will get 62

9514 1404 393

Answer:

  £6/h

Step-by-step explanation:

Molly is paid £280 for 35 hours' work, so

  £280/(35 h) = £8/h

In the next 5 hours, her pay jumps to £350, so she earns at a rate of ...

  (£350 -280)/(5 h) = £70/(5 h) = £14/h

The difference in her pay rates is £14/h -£8/h = £6 per hour.