2. Suppose the temperature that most foods can stay bacteria free in restaurants varies approximately according to a normal distribution with a mean of 31.3 degrees and a standard deviation of 2.8 degrees Fahrenheit. The Federal Department of Agriculture mandates that food inspectors make sure that all restaurants fine a location up to $1,500.00 if the temperature in cold food storage goes above the bottom 15% of that distribution for safety and insurance purposes. What temperature correlates to the bottom 15% of this distribution?

Answers

Answer 1

Answer:

28.4

Step-by-step explanation:

Given that:

Mean, m = 31.3

Standard deviation, s = 2.8

Since, data is normally distributed :

P(x < 0.15) gives a Z value of - 1.036

Using the Zscore formula :

Z = (x - mean) / standard deviation

-1.036 = (x - 31.3) / 2.8

-1.036 * 2.8 = x - 31.3

-2.9008 = x - 31.3

-2.9008 + 31.3 = x

28.3992 = x

The temperature which correlates to the bottom 15% of the distribution is 28.4


Related Questions

anice has $64 left in her checking account. If she writes a check for $87, what
vill Josie's balance be?

Answers

Writing a check takes money out of the bank account. Subtract the amount of the check from the amount in the account:

64 - 87 = -23

They would have -$23 in the account

.......................................64-87 = $-23

Nicky wants to surround a painting 5 inches by 11 inches with a frame that is W inches wide. write a quadratic function A in standard form to represent the combined area A of the picture and the frame.

A(w)= ___w^2+ ___w+ ___

Answers

Answer:

1st blank is 3

2nd black is 7

3rd blank is 5



How many solutions does the system of equations have?
x = -3y + 4 6y + 2x = 8

Answers

Answer:

The equation x = -3y + 4 6y + 2x = 8 has infinite number of solutions.

Graph the line with slope (2)/(3) and y-intercept -7.

Answers

Start from the y intercep (0,-7) then go up 2 units and then 3 to the right (rise / fall over run)

What is the simplified form of -3°(2 + 2) - 4(x2 + 1)?
A. -7+1
B. -3-3 - 42
C. -329 - 22
D. -33
10

Answers

Answer:

C >:)

Step-by-step explanation:

Which function has a greater speed, and what is the greater speed?

Answers

Answer:

B. function 13 meters per second

Step-by-step explanation:

Answer:

B) Function A; 14 mps

Step-by-step explanation:

Function B has a speed of 13/s

If you look at Function A and divide the right column by the corresponding values in the left column, you get 14 every time. That is the rate of Function A.

14>13.. so Function A is faster

Cant seem to figure out the answer help?

Answers

Answer:

The surface area is 900cm^2

Step-by-step explanation:

Multiply 3 and 10 to get 30

Then square 30 by multiplying 30 x 30, to get 900.

Answer:

The Surface of the area is 30.

Step-by-step explanation:

Multiply 3 and 10. And you get 30. Hoped this helped : )

Jenny's great-grandmother is 86 years old. Jenny is 11 years old. What percent of Jenny's great-grandmother's age is Jenny's age

Answers

Answer:

12.79%

Step-by-step explanation:

Let :

Great grand mother = 86 years

Jenny = 11 years

Let the percentage = x

x % of great grandmother's age = Jenny's age

x% * 86 = 11

x/ 100 * 86 = 11

86x / 100 = 11

86x = 100 * 11

86x = 1100

x = 1100/86

x = 12.79

x = 12.79%

please help______________​

Answers

Answer:

49 cm squared. Find the area of all then add.

The park is 3.6 miles east of your house. The library is 4.8 miles north of the park. What is the
shortest distance between your house and the library?
I NEED HELP

Answers

Answer is 6 miles. See explanation attached photo

PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORECT QUESTION IS IN PICTURE BELOW (no links my computer is very slow and wont run some things)

Answers

The answer to that question is the third one

need helppp
What shape(s) have congruent diagonals?
** You may have more than one correct
answer!
****
Square
Trapezoid
Rhombus
Rectangle
Kite

Answers

Answer:

Step-by-step explanation:

A B

definition of a parallelogram a quadrilateral with both pairs of opposite sides parallel

five properties/theorems for parallelograms opposite sides are parallel, diagonals bisect each other, opposite sides are congruent, opposite angles are congruent, consecutive angles are supplementary

definition of a rectangle a quadrilateral with four right angles

rectangle theorems if a parallelogram is a rectangle, then its diagonals are congruent; if the diagonals of a parallelogram are congruent, then the paralellogram is a rectangle

five properties of a rectangle opposite sides are congruent and parallel; opposite angles are congruent; consecutive angles are supplementary; diagonals are congruent and bisect each other; all four angles are right angles

definition of a rhombus a quadrilateral with four congruent sides

rhombus theroems the diagonals of a rhombus are perpendicular; if the diagonals of a parallelogram are perpendicular, then the paralellogram is a rhombus; each diagonal of a rhombus bisects a pair of opposite angles

properties of a rhombus all parallelogram properties apply; all four sides are congruent; diagonals are perpendicular; the diagonals bisect opposite angles

definition of a square a quadrilateral with four right angles and four congruent sides

properties of a square the properties of a rectangle plus the properties of a rhombus; four right angles; all four sides are congruent

definition of a trapezoid a quadrilateral with exactly one pair of parallel sides

definition of an isosceles trapezoid a trapezoid with the legs congruent

isosceles trapezoid theroems both pairs of base angles are congruent; the diagonals are congruent

trapezoid median theorem the median of a trapezoid is parallel to the bases and its measure is one-half the sum of the measures of the bases, or median=1/2(x+y)

in these quadrilaterals, the diagonals bisect each other paralellogram, rectangle, rhombus, square

in these quadrilaterals, the diagonals are congruent rectangle, square, isosceles trapezoid

in these quadrilaterals, each of the diagonals bisects a pair of opposite angles rhombus, square

in these quadrilaterals, the diagonals are perpendicular rhombus, square

a rhombus is always a... parallelogram

a square is always a... parallelogram, rhombus, and rectangle

a rectangle is always a... parallelogram

a square is never a... trapezoid, because trapezoids only have one pair of parallel sides

a trapezoid is never a... parallelogram, rhombus, rectangle, or square, because trapezoids only have one pair of parallel sides

these quadrilaterals always have all four congruent sides rhombus, square

these quadrilaterals always have all four right angles rectangle, square

these quadrilaterals always have perpendicular diagonals rhombus, square

if you divide a square into four right triangles by drawing its two diagonals, the measure of each of the angles in the triangles that is not a right angle is... 45 degrees

the diagonals of a rhombus... are not always congruent, but they are always perpendicular and they do always bisect each other, and they do always bisect the pairs of opposite angles

the diagonals of a rectangle... are not always perpendicular, but they are always congruent and they always bisect each other

the diagonals of a parallelogram... always bisect each other

Answer:

squares, rectangles, trapeziods (only if isoceles)

Step-by-step explanation:

Squares are rectangles and rectangles always will have diagonals that are congruent. Trapezoids, if isoceles, will have congruent diagonals.

( -8) +5+4+(-2) pls aa

Answers

b. just took the test

2x + 6
96
solve for x using an algebraic equation

Answers

Answer:

v

Step-by-step explanation:

Are drugs bad for you and drinking ?

Answers

yes drugs affect the brain and drinking can affect the liver
excessive use can lead to major health problems

Answer:

yes

Step-by-step explanation:

Alcohol abuse has long-term effects on both your physical and mental health such as liver damage, cancer, cognitive impairment, memory loss, psychosis, anxiety, and depression.

A 78 gram sample of Uranium loses half of its mass each year. What is the Exponential equation??

A.
[tex]y = 78(1.5) {}^{x} [/tex]
B.
[tex]y = 78(0.5) {}^{x} [/tex]
C.
[tex]y = 78(2) {}^{x} [/tex]

Answers

Answer: B , 78(0.5) ^x

Step-by-step explanation: it’s being multiplied by 0.5, which is half.

Megan has a bag of 6 green, 1 yellow, and 3 purple blocks. She draws a block, replaces it, and then draws another block. What is the probability that the two blocks are the same color?

Answers

Answer:

2/10 20%

Step-by-step explanation:

Find the surface area of the cylinder. Use 3.14 for π.

Answers

Answer: 87.96 mm^2

Step-by-step explanation:

The formula is 2 π r h + 2 π r^2

So then just substitute the variables.

What is the midpoint of line segment AB if (-4, 6) and (-6, 8) ?

A (-5,7)
B(-1,1)
C (5,7)
D (1,1)

Answers

Answer:

A

Step-by-step explanation:

Midpoint Formula: ( (x_1 + x_2)/2 , (y_1 + y_2)/2)

((-4 + -6)/2 , (6 + 8)/2)

((-10)/2 , (14)/2)

(-5, 7)

factorise 21ax+10by-35ay-6bx
with working pls​

Answers

Answer:

( 7a - 2b ) ( 3x - 5y )

Step-by-step explanation:

21ax + 10by - 35ay - 6bx

21ax - 35ay - 6bx + 10by

7a ( 3x - 5y ) - 2b ( 3x - 5y )

( 7a - 2b ) ( 3x - 5y )

If one yard of fabric costs $1.70 and Polly needs 4½ yards, how much will she spend on pink fabric? Show your work!

Answers

Answer:

$7.65

Step-by-step explanation:

Okay, this is a standard multiplication problem, so:

4 1/2 x 1.7 = 7.65

Polly will spend $7.65 on pink fabric

hope this helps:)

Answer:

$7.65

Step-by-step explanation:

cost for 1 yard=$1.70

cost for 1/2 yard=$0.85

so cost for 4 and half yard will be

 = 4*1.70+0.85

=6.8+0.85

=$7.65

URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (29pts)

Answers

Answer:

C

Step-by-step explanation:

Answer:

D. 9.95 in

Step-by-step explanation:

law of sines

(sin(B)/b)=(sin(C)/c)

sin(56)/x=sin(90)/12

sin(56)/(sin(90)/12)=x

9.95=x

Hope this helps :)

Give the coordinates of the point that would divide AB into a ratio of 2:1. A(4,4) B(2,-5)

Answers

Answer:

(10/3, 1)

Step-by-step explanation:

Give the coordinates of the point that would divide AB into a ratio of 2:1. A(4,4) B(2,-5)

The formula for calculating the coordinate of a point divided in the ratio a:b is expressed as;

X = ax1+bx2/a+b

Y = ay1+by2/a+b

Given the coordinates A(4,4) B(2,-5) divided in the ratio 2:1

X = 2(4)+1(2)/2+1

X = 8+2/3

X = 10/3

Similarly;

Y = 2(4)+1(-5)/2+1

Y = 8-5/3

Y = 3/3

Y = 1

Hence the required coordinate is (10/3, 1)

Solve this one right here
3y-5x=-12

Answers

Answer:

y=1

x=3

Step-by-step explanation:

Answer:

here we are look for two numbers that would give us -12

so the numbers are

y=1 and x=3

What is the volume of a cylinder, in cubic m, with a height of 6m and a base diameter
of 18m? Round to the nearest tenths place.

Answers

Answer:V= 1526.8m3

Step-by-step explanation: pi (9)2(6)

A cylinder is a three-dimensional structure formed by two parallel circular bases. The volume of a cylinder, in cubic m, with a height of 6m and a base diameter of 18m is 1526.814.

What is a cylinder?

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.

Given the height of the cylinder is 6m, while the base diameter is 18m. Therefore, the volume of the cylinder can be written as,

Volume of cylinder = (π/4)×d²×h = (π/4)×18²×6 = 1526.814m³

Hence, the volume of a cylinder, in cubic m, with a height of 6m and a base diameter of 18m is 1526.814.

Learn more about Cylinder:

https://brainly.com/question/12248187

#SPJ2

You buy a shirt on sale for $20. This
sale price is 20% off the original price.
How much was the original price of
the shirt?

Answers

Answer:

$25

Step-by-step explanation:

Let the original cost of the shirt be x, therefore the sale price would be the original minus the 20% of the original price x - 0.20x = $20. Solve for x: 0.8x = 20 --> x=$25

Shirt original price $25

absolute value of the whole equation -4+1 1/3

Answers

Answer:

I guess 3 is the reason

Step-by-step explanation:

-4+1 1/3= -4+4/3=3 after simplifying

Use a net to find the surface area of the solid. A drawing of a square pyramid with grid pattern on surface. Each triangular face is 6 grid units high and 7 grid units wide.

Answers

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

Yazeron or whatever your name is dont answer this but can someone help me
ASAP I WANT TO GO TO BED

Answers

Answer: No

Step-by-step explanation: The length isn't 90 degree's so it can't be a right triangle

What is the spread of the data? Please help

Answers

D is the answer to this
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