Solve the following quadratic function by utilizing the square root method. f(x) = 1 - x2 x = + [?]
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Answer:

0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.

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.

A pretzel company calculated that there is a mean of 73.5 broken pretzels in each production run with a standard deviation of 5.1.

This means that [tex]\mu = 73.5, \sigma = 5.1[/tex]

Find the probability that there will be fewer than 69 broken pretzels in a run.

This is the p-value of Z when X = 69.

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

[tex]Z = \frac{69 - 73.5}{5.1}[/tex]

[tex]Z = -0.88[/tex]

[tex]Z = -0.88[/tex] has a p-value of 0.1894

0.1894 = 18.94% probability that there will be fewer than 69 broken pretzels in a run.

9514 1404 393

Explanation:

Shrinkage is the loss of inventory from causes other than normal use or sales. It is the difference between the inventory on the books and the amount of inventory actually available for use. Typical causes of shrinkage are theft, damage, fraud, counting error, administrative error.

Answer:

320 kilometers

Step-by-step explanation:

1/2 -- (60 * 2) = 120 km

rest pf the trip -- 100 km per hour -- 2 hours left -- (100 * 2) = 200 km

Therefore, 120 + 200 = 320 km

Thenks and mark me brainliest :)

Answer:

The total charges for the two checking accounts will be the same after 6 checks written.

Step-by-step explanation:

Since I want to open a checking account at my local bank which offers two options, a standard checking account that charges $ 6 each month plus $ 0.25 for each check written, and a select checking account that charges $ 4.50 each month plus $ 0.50 for each check written, to determine which system of equations can be used to determine the number X of checks that must be written in a month in order for the total charges Y for the two checking accounts to be the same, the following calculation must be performed:

6 + 0.25X = Y

4.5 + 0.5X = Y

6 + 0.25x5 = Y

4.5 + 0.5x5 = Y

6 + 1.25 = Y = 7.25

4.5 + 2.50 = 7

6 + 0.25x6 = Y

4.5 + 0.5x6 = Y

6 + 1.50 = Y = 7.50

4.5 + 3 = 7.50

Therefore, the total charges for the two checking accounts will be the same after 6 checks written.

Answer:

I think it's 2

Step-by-step explanation:

Answer:

1/11 is correct.

Step-by-step explanation:

You can see that the 3 is spun 2 times, but we need to know how many times he spun in total.

2 + 3 + 2 + 4 + 5 + 2 + 1 + 3 = 22

2/22 = 1/11

Have a nice day!

Answer:

4

Step-by-step explanation:

1/4 of 16 is the same as 16 divided by 4. 16 divided by four is 4.

Answer:

Step-by-step explanation:

(14×2)+(14×4)

7×(3+5)

c, e and g

Answer:

1

Step-by-step explanation:

x = - 2

x^2 + 6x + 9

= ( - 2 )^2 + 6 ( - 2 ) + 9

= 4 - 12 + 9

= 4 + 9 - 12

= 13 - 12

= 1

Answer:

3 bottles

Step-by-step explanation:

1 bottle -- $1.20

x bottles -- 3.60 (total cost)

Therefore, number of bottles -- (3.60/1.20) = 3

She bought 3 bottles.

Thenks and maek me brainliest :))

The surface area of this square pyramid is 33ft

The formula for calculating the surface area of the ssquare pyramid is expressed as:

TSA = Area of square + 4(area of triange)

TSA = (3*3) + 4(0.5 * 4 * 3)

TSA = 9 + 4(6)
TSA = 9 + 24
TSA = 33 square feet

Hence  the surface area of this square pyramid is 33ft

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Answer:

P = 1,8 %

Step-by-step explanation:

From the whole population, only 2% are geniuses. But test results,              are accurate 90 %. So the probability that Albert really is a genius is:

P = 0,02 * 0,9

P  = 0,018      or    P = 1,8 %

Answer:

-30x

Step-by-step explanation:

The parenthesis is just to multiply, and you can combine like terms. So -5*6=-30, which you multiply with x to get -30x.

Answer:

the consecutive numbers are: 23, 25, 27, 29, 31.

Step-by-step explanation:

23+25+27 is 75

29+31 is 60

75-60 is 15

Answer:

Congress immediately tabled its expected contribution of $200,000 to the Society, effectively halting the appropriation. During its tenure, the Know-Nothing Society added only two courses of masonry, or four feet, to the monument using rejected masonry it found on site, increasing the height of the shaft to 156 feet

Step-by-step explanation:

Answer:

second

Step-by-step explanation:

substitute y=6 and x=1 in the given relations and see if works

y=2x will be 6 = 2*1 false

y=x+5 will be 6 = 1+5 true

because this is true check all the other y and x and if all true is good

7=2+5 true, 8=3+5 true 9= 4+5 true, 10=5+5 true, so second is good

y=2x+1 will be 6=2*1+1 false

y=3x+1 will be 6=3*1+1 false

Answer:

2/3

(-4, 2) and (-16, -6)

slope = m = (y2 - y1) / (x2 - x1) = (-6 - 2) / (-16 - -4) = -8 / -12 = 2 / 3 = 0.667

I hope you got it right :)

Volume of a cylinder is the area of the base x the height.

Area of base = pi x r^2 = 3.14 x 2^2 = 12.56

Volume = 12.56 x 8 = 100.48 units^3

Answer:

32 pi units^3

Step-by-step explanation:

The volume of a cylinder is given by

V = Bh  where B is the area of the base

The base is a circle

The area of a circle is given by

A = pi r^2

The radius is 2

A = pi (2)^2 = 4pi

The area of the base is 4pi

The height is 8

V = 4pi *8

V = 32 pi units^3

Answer:

Hence, the relation R is a reflexive, symmetric and transitive relation.

Given :

A be the set of all lines in the plane and R is a relation on set A.

[tex]R=\{l_1,l_2\in A|l_1 \;\text{is parallel to}\; l_2\}[/tex]

To find :

Which type of relation R on set A.

Explanation :

A relation R on a set A is called reflexive relation if every [tex]a\in A[/tex] then [tex](a,a)\in R[/tex].

So, the relation R is a reflexive relation because a line always parallels to itself.

A relation R on a set A is called Symmetric relation if [tex](a,b)\in R[/tex] then [tex](b,a)\in R[/tex] for all [tex]a,b\in A[/tex].

So, the relation R is a symmetric relation because if a line [tex]l_1[/tex] is parallel to the line [tex]l_2[/tex] the always the line [tex]l_2[/tex] is parallel to the line [tex]l_1[/tex].

A relation R on a set A is called transitive relation if [tex](a,b)\in R[/tex] and [tex](b,c)\in R[/tex] then [tex](a,c)\in R[/tex] for all [tex]a,b,c\in A[/tex].

So, the relation R is a transitive relation because if a line [tex]l_1[/tex] s parallel to the line [tex]l_2[/tex] and the line [tex]l_2[/tex] is parallel to the line [tex]l_3[/tex] then the always line [tex]l_1[/tex] is parallel to the line [tex]l_3[/tex].

Therefore the relation R is a reflexive, symmetric and transitive relation.

Answer:

Step-by-step explanation:

4 is the correct answer

ANSWER:

245.83

Step-by-step explanation:

16,780/100=167.8

167.8 x 1.465= 245.827

Using unitary method, Adam's monthly payment is 245.83 dollar.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Monthly payment with 12.5% interest rate for 10 years per 100 dollar is 1.465 dollar.

Monthly payment with 12.5% interest rate for 10 years per 1 dollar is 0.01465 dollar.

Monthly payment with 12.5% interest rate for 10 years per 16780 dollar is 1.465 * 16780 dollar = 245.83 dollar.

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Answer:

2.88 miles

Step-by-step explanation:

because 3.6/.5 = 7.2

then 7.2 × .4 = 2.88

Answer: C is the answer bc it is asking what is more grader

Step-by-step explanation:

Answer: The answer is 15

HOPE THIS HELPS AND HAVE A VERY GOOD DAY

Answer:

Sonya got 16 questions correct.

Step-by-step explanation:

8/10=80%

80%×20=16

(To check)

16/20=80%

Answer:

12, because both dogs and birds only have 12 heads