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?
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
A closet is 2 feet deep, 5 feet wide, and 7 feet tall. What is the volume of the closet in cubic feet, rounded to the nearest hundredth? *
Answer:
Hi how are you doing today Jasmine
a rectangular playground has its length more than its breath by 2 m find the length and breadth of the playground if area of playground is 440 sq.m.
Answer:
Length = 22m
Breadth = 20m
Step-by-step explanation:
Given:
Area = 440 m²
Let the breadth be x m
According to the question:
Length = (x+ 2) m
Area of a rectangle = length × breadth
Substitution the values of area, length and breadth
440 = (x+2) × x
440 = x² + 2x
x² + 2x - 440 = 0
x² + 22x - 20x - 440 = 0
x (x + 22) - 20 (x + 22) = 0
(x + 22) (x - 20) = 0
x = -22 and 20
Since the value of breadth cannot be in negative, therefore the value of breadth will be 20 m.
Length = (x + 2)
⇒ 20 + 2
⇒ 22 m
How do you get the answer x=2.05, 2.05 from this equation?
x = cos (47) = Pi/3, cos 47 = X/3
Step-by-step explanation:
x = 2.05, 2.05 (2.05)²
What is the value of y in the equation below?
4y + 8 = 6y + 2
3/5
1
3
5
Answer:
y=3
Step-by-step explanation:
good luck
refer to the right triangle ABC below. Identify the correct values for B and C
Answer:
B=12.2
C=5.4 is your answer
6a-4b when a=5 and b=3
Answer:
18
Step-by-step explanation:
Answer:
Use substitution to receive: 18
Step-by-step explanation:
6a - 4b when a = 5 and b = 3
6(5) - 4(3)
30 - 12 = 18
Find the explicit formula for a 1 =-4,a n =a n-1 +9,n>=2
Given:
[tex]a_1=-4[/tex] and [tex]a_n=a_{n-1}+9[/tex] where [tex]n\geq 2[/tex].
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:
[tex]a_n=a_{n-1}+d[/tex]
Where, d is the common difference.
We have,
[tex]a_n=a_{n-1}+9[/tex]
Here, d=9.
The first term of the AP is [tex]a_1=-4[/tex].
The explicit formula for an AP is:
[tex]a_n=a_1+(n-1)d[/tex]
Substituting [tex]a_1=-4[/tex] and [tex]d=9[/tex], we get
[tex]a_n=-4+(n-1)9[/tex]
[tex]a_n=-4+9n-9[/tex]
[tex]a_n=-13+9n[/tex]
Therefore, the required explicit formula for the given sequence is [tex]a_n=-13+9n[/tex].
what is the value for x if the perimeter is 45
Answer:
11
Step-by-step explanation:
Perimeter of the triangle = 45
x + x + 7 + x + 5 = 45
3x + 12 = 45
3x = 45 - 12
3x = 33
x = 33 /3
x = 11
Hope it will help:)
PLEASE HURRY, THANK YOU!!!!
Answer:
58+61=119
180-119=61
61 degrees is the answer
Step-by-step explanation:
Which statement is true about the scatter plot? Select all that apply.
The scatter plot shows a correlation.
The bulb wattage is the independent variable.
Heat is the dependent variable.
Options A, C, and D are the correct answers.
What is a scatterplot?A scatterplot is a type of graphical display that is used to represent the relationship between two continuous variables.
In a scatterplot, each point represents the values of the two variables, with one variable being plotted along the x-axis and the other variable being plotted along the y-axis.
The position of each point on the graph represents the values of both variables for that particular observation.
We have,
From the scatterplot,
We see that,
The bulb wattage is the independent variable.
Heat is the dependent variable.
Now,
As the bulb wattage increases, the heat also increases.
This means,
It shows a correlation.
Thus,
The scatter plot shows a correlation.
The bulb wattage is the independent variable.
Heat is the dependent variable.
Learn more about scatterplots here:
https://brainly.com/question/7219025
#SPJ2
GEOMETRY HELP WILL MARK BRAINLIEST!!!
An angle has a reference angle of 25° and its terminal side lies in Quadrant II. What are a possible positive measure and negative measure for the angle?
Answer:
155°, -205°Positive measure : 155°Negative measure : -205°Hope this helps out ! :D
The possible positive and negative measures are 155° and -205° respectively.
It is given that an angle has a reference angle of 25° and its terminal side lies in Quadrant II.
It is required to find the possible positive measure and negative measure for the angle.
What is the reference angle?the angle between the terminal side of the angle and the x-axis.
The terminal side lies in Quadrant II.
The positive measure is:
=180-25
=155°.
And the negative measure is:
= 155-360
= -205°.
Thus, the possible positive measure and negative measures are 155° and -205° respectively.
Learn more about the reference angle here:
https://brainly.com/question/16210309
the product of 700 and 4000 expressed in scientific notation is
Answer:
caca
Step-by-step explanation:
caca
What is the value of x rounded to the nearest hundredth?
ps this is a pythlly therom
Question 2 options:
68
92
54
75
Step-by-step explanation:
60x60+32x32=4624
✓4624
68
PLEASE HELP
Answer:
sorry if u need help, hope u feel better! :)
Q1-Research -CMR method and accordingly find total population
Answer:
The population size is relatively small In total population sampling, researchers choose to study the entire population because the size of the population that has the particular set of characteristics that we are interest in is typically very small. Therefore, if you failed to include a small number of units (e.g., people) in your research, a significant piece of the puzzle that you are trying to understand may be missing.
The population shares an uncommon characteristic(s) The characteristic shared by the population is considered to be uncommon because this tends to explain why the population that can be studied is very small. In this example above, the population consisted of people with a rare disease, but there are many types of uncommon characteristic. For example, if you were performing case study research in a single firm of 400 employees, examining the effect of senior manager mentorship on employee motivation, there may only be 5-10 senior managers. In this example, the uncommon characteristic is the fact that the people (i.e., units) of interest are all senior managers. Since the total number of senior managers is very small, it makes sense to include all of them in your research; in other words, it makes sense to create a total population sample.Can I get help again w Khan Academy:(
Answer:
49
Step-by-step explanation:
x=180-131=49
What is the value of the expression: 3y + 6 divided by 2x, if y = 4 and x = 3? *
13
21
3
Answer:
[tex]\huge\boxed{\tt{3}}[/tex]
Step-by-step explanation:
Given the expression:
[tex]\displaystyle \frac{3y+6}{2x}[/tex]
Given that: y = 4 , x = 3
[tex]\displaystyle = \frac{3(4)+6}{2(3)} \\\\= \frac{12+6}{6} \\\\= \frac{18}{6} \\\\= 3\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH18073/4 times 4/8 Plz Help You will get 30 points
Answer:
0.375 or 3/8
Step-by-step explanation:
You could cross multiply meaning (3 × 4) and (8 × 4) which would equal 3/8
You could also change the fractions to decimals which would be
3/4 = 0.75
4.8 = 0.5
= 0.375
Hope this helps ;)
HELP
Write an equation of the line in slope intercept form using the graph below.
The Davis family is going to reseed the grass in the backyard. Their yard is irregularly shaped with a cement patio and rectangular garden as shown below.
Given that the family will not need grass seed for the patio or the garden areas, what is the total area of the land will they be reseeding?
Answer:Answer:
1,482 square feet
Step-by-step explanation: Find total area - 37 x 46 = 1,702
Find area of patio and garden - 16 x 10 = 160 for the patio, 12 x 5 = 60 for the garden
Subtract from total area - 1702 - 160 = 1542, 1542 - 60 = 1,482 sq ft
any luck with this answer ??
Answer:
Step-by-step explanation:
A line can be expressed as
y=mx+b, where m=slope and b=y intercept
We are given m=6 and b=-5 so we can just use them in the equation.
y=6x-5
So C is the correct answer.
Exam scores in a large class are normally distributed with a mean of 60
and standard deviation of 10. The teacher decides to boost the scores by
multiplying everyone's score by 1.2
The model for the new scores will be:
Answer:
our mama
Step-by-step explanation:
trigonometry please help! work need to be shown please
Given:
A figure of a right angle triangle.
To find:
The value of x to the nearest hundredth.
Solution:
In a right angle triangle,
[tex]\tan \theta=\dfrac{Opposite}{Adjacent}[/tex]
In the given triangle,
[tex]\tan 62^\circ=\dfrac{x}{35}[/tex]
[tex]1.8807=\dfrac{x}{35}[/tex]
[tex]1.88073\times 35=x[/tex]
[tex]65.82555=x[/tex]
Approx the value to the nearest hundredth (two decimal place).
[tex]x\approx 65.83[/tex]
Therefore, the value of x is 65.83 units.
50 points! Given the vertices A(-4,6), B(6,6), C(6,2),find the circumcenter. I will mark brainliest. Random answers will be reported
Answer:
(1, 4)Step-by-step explanation:
The circumcenter is the intersection of the perpendicular bisectors.
Find the two equations for the perpendicular bisectors and solve the system for intersection point.
Given the vertices A(-4,6), B(6,6), C(6,2)
Find the slope and midpoint of AB and BC
m(AB) = (6 - 6)/(6 - (-4)) = 0, this is a horizontal segmentM(AB) is
x = (-4 + 6)/2 = 1, y = (6 + 6)/2 = 6Perpendicular bisector is a vertical line that passes through (1, 6) so its equation is:
x = 1m(BC) is undefined as x-coordinates are same, so the segment is vertical
M(BC) is
x = (6 + 6)/2 = 6, y = (6 + 2)/2 = 4Perpendicular bisector is a horizontal line that passes through (6, 4) so it is:
y = 4The intersection of the lines x = 1 and y = 4 is the point (1, 4)
The circumcenter is point (1, 4)
Two of the sides of a triangle are 7 inches
and 8 inches. If the third side is a whole
number of inches, what is its greatest
possible measure?
Answer:
11 inches
Step-by-step explanation:
7^2+8^2=c^2
49+64=c^2
113=c^2
square root both side
c=10.63014581
round up and get c=11
hope this helped :)
An even number is divisible by 2.
if - then :
hypothesis:
conclusion:
Answer:
A logical sentence is written as:
If P, then Q.
Where:
P = hypothesis
Q = conclusion.
For this particular case, we know that a number is even only if the number is divisible by 2.
Then we can write:
if a number is divisible by 2, then it is an even number.
Here we have:
hypothesis = a number is divisible by 2.
conclusion = the number even.
A truck uses 1 gallon of diesel for every 12 miles traveled. The amount of diesel left in the gas tank, r gallons, after traveling s miles is give by s= 120-12r.
The question has missing details. However, general questions that could be asked is as follows:
(1) The number of miles traveled after using (say) 5 gallons
(2) The number of gallons used after traveling for (say) 36 miles
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]s = 120 - 12r[/tex]
A linear equation is represented as:
[tex]y = c + mx[/tex]
Where
[tex]c =y\ intercept[/tex] and
[tex]m = slope.[/tex]
c, in this question represents the initial capacity of the tank.
So, the initial capacity is 120 liters
Solving (a): r = 5
[tex]s = 120 - 12r[/tex]
[tex]s = 120 - 12 * 5[/tex]
[tex]s = 120 - 60[/tex]
[tex]s = 60[/tex]
60 miles traveled
Solving (b): s = 36
[tex]s = 120 - 12r[/tex]
[tex]36 = 120 - 2r[/tex]
Collect like terms
[tex]2r =120 -36[/tex]
[tex]2r =84[/tex]
Solve for r
[tex]r = 42[/tex]
42 gallons used
A milky way candy bar has a height of 2.4 cm, a width of 3 cm, and is 6 cm long.
What is the volume of the candy bar?
Answer:
V=lbh=2.4×3×6=43.2cm^3
We are given a candy batband we are given its dimensions
height = 2.4cmwidth= 3cmlength= 6cmTO FINDWe need to find it's volume
Volume of a cuboid is given by l×b×h
SOLUTIONVolume = length × breadth × height
Volume = 2.4 × 3 ×6
Volume = 43.2 cm^3