Step-by-step explanation:
a) The range at which the internal temperature can rise is from 2°F to 6°F, which means that in order fo the final temperature of the turkey to fall within the range of 165-170°F, we need to pull remove the turkey when the internal temperature is at a minimum of 164°F or a maximum of 168°F.
b) I'd rather err on the higher side of the internal temperature. After all, no one eats poultry cooked medium rare due to the high probability of salmonella poisoning and the 165-170°F is meant to destroy the microbes that causes food poisoning. Not only that, poultry meat gets sufficiently cooked at that range.
Find the value of P (7, 2). HELP PLSSSS
Given:
[tex]P(7,2)[/tex]
To find:
The value of the given permutation.
Solution:
Permutation is defined as:
[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]
We have,
[tex]P(7,2)[/tex]
Using permutation formula, we get
[tex]P(7,2)=\dfrac{7!}{(7-2)!}[/tex]
[tex]P(7,2)=\dfrac{7\times 6\times 5!}{5!}[/tex]
[tex]P(7,2)=7\times 6[/tex]
[tex]P(7,2)=42[/tex]
Therefore, the value of P(7,2) is 42.
Solve for x. Round to the nearest tenth. Please asap.
Answer:
x = 73
Step-by-step explanation:
Δ ABC and Δ DEF are congruent, same 3 angles in the same position in both triangles, so
Corresponding sides will be congruent, that is
x = ED = BA = 73
Question 1 (Essay Worth 10 points)
(06.02 MC)
Part A: Write an algebraic expression for 6 more than 7 times a number. (5 points)
Part B: Write a verbal expression for 3(n + 8). (5 points)
Answer:
A. 7n+6
B Three times the quantity of a number plus eight
Step-by-step explanation:
A more than means it comes after
7 times a number
7n
6 more than
7n+6
B 3( n+8)
Three times the quantity of a number plus eight
Jin sells concert tickets at the theater box office. The ratio of student tickets to adult tickets sold is 4 : 5. Each student ticket costs $5, and each adult ticket costs $7. Jin sells 189 tickets altogether. Part A: How many student tickets does Jin sell? How many adult tickets? Explain your reasoning. Part B: How much more money does Jin receive from selling adult tickets than from selling student tickets? Explain your reasoning
Answer:
Part A: 84, 105
Part B: $315
Step-by-step explanation:
Part A:
4 student tickets + 5 adult ticekts = 9 tickets
The ratio of student tickets to adult tickets to total tickets is
4 : 5 : 9
He sold x times more tickets than the numbers on the ratio.
He sold 9x tickets.
9x = 189
x = 21
Student tickets:
4x = 4(21) = 84
He sold 84 student tickets.
Adult tickets:
5x = 5(21) = 105
He sold 105 adult tickets.
Part B:
Student tickets:
He sold 84 student tickets at $5 each.
The amount of money from the sale of student tickets is:
84 * $5 = $420
Adult tickets:
He sold 105 adult tickets at $7 each.
The amount of money from the sale of adult tickets is:
105 * $7 = $735
Difference:
$735 - $420 = $315
84 student tickets, 105 adult tickets were sold by Jin and $315 more money does Jin receive from selling adult tickets than from selling student tickets
What is Equation?Two or more expressions with an Equal sign is called as Equation
The ratio of student tickets to adult tickets sold is 4 : 5
4 student tickets + 5 adult ticekts = 189
4x+5x=189
9x = 189
Divide both sides by 9
x = 21
The number of Student tickets:
4x = 4(21) = 84
Jin sold 84 student tickets.
Adult tickets:
5x = 5(21) = 105
Jin sold 105 adult tickets.
Part B:
He sold 84 student tickets at $5 each.
The amount of money from the sale of student tickets is:
84 * $5 = $420
Adult tickets:
He sold 105 adult tickets at $7 each.
The amount of money from the sale of adult tickets is:
105 * $7 = $735
Difference:
$735 - $420 = $315
Hence 84 student tickets, 105 adult tickets were sold by Jin and $315 more money does Jin receive from selling adult tickets than from selling student tickets
To learn more on Equation:
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Angle relationships with parallel lines
Answer:
85 degree
Step-by-step explanation:
The angle vertically opposite to 85 be y
y = 85 (since V.O.A are equal)
Then x and y are corresponding angles
x = 85 (since corresponding angles are equal)
Hope u understand
Please mark as brainliest
Thnk You
HELP!!!! In Ottawa you can ride on a tour bus for a fixed price plus a variable amount that depends on the length of the trip. the variable cost is $2/km and 20km trip cost $55
Determine the equation relating cost, C, in dollars, and distance, d, in kilometers.
Answer:
C = 2d + 15
Step-by-step explanation:
$2 per km, so $40 for 20km.
55-40 is 15 so $15 is a fixed price.
Hence, C = 2d + 15
If there are 32 boys and 48 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Please i need an answer please!
Which equation represents the line shown in the graph?
A.y=1/4x
B.y=4x
C.y=-1/4x
D.y=-4x
Compute the measures of spread for the data collected for boys and girls. Describe their differences in detail using specific terms of spread.
Answer: HI There I think that I can help You!
Girls:
Range:66
Lower Quartile: 22
Upper Quartile: 56
IQ Range: 34
Mean Absolute Deviation: 19.4
Boys:
Range: 75
Lower Quartile: 12
Upper Quartile: 45
IQ Range: 33
Mean Absolute Deviation: 20.8
Step-by-step explanation:
Answer:
give my guy that brainliest
Step-by-step explanation:
Please help me with this algebra 2 , its the very last question on the picture
Answer:
150
Step-by-step explanation:
t = sqrt((4π^2mr)/F)
Plug in the given values.
12 = sqrt((4(3.14^2)(84.4)(6.5))/F)
Solve for F.
12 = sqrt(21635.90624/F)
144 = 21635.90624/F
F = 150.249
According to a survey, about 30% of people ages 18 and older in a city have a cat. You ask 5 randomly chosen people (ages 18 and older) whether they have a cat. What is the probability that at least 2 people have a cat? Round your answer to the nearest hundredth.
Step-by-step explanation:
When they ask what the prob that at most 3/4 people asked have a pet, they are asking what is the prob that 0, 1, 2, or 3 people answer yes. So you could calculate all 4 of those and then add them together.
However, in this case, since there's only 1 other possible outcome (all 4 have a pet), we could just calculate the prob of that and subtract it from 1 to get the prob of everything else happening.
We'll use the binomial distribution formula where n=4, k=4, and P=.6.
nCk * P^n * (1-P)^(n-k)4C4 * (.6)^4 * (.4)^0.1296
So the prob of at least 3 having pets = 1 - P(all 4 have pets) which is 1-.1296 = .8704. You could double check this by calculating the prob of the other 4 outcomes and then adding them together.
The probability that at least 2 people have a cat is 0.522 or 52.2%.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
This is a problem that can be solved using the binomial probability formula, which gives the probability of getting exactly k successes (in this case, people with cats) out of n trials (in this case, people you ask) with a probability of success (in this case, having a cat) of p.
The formula is:
P(k) = (n choose k) × [tex]p^k \times (1-p)^{(n-k)}[/tex]
where (n choose k) is the binomial coefficient, which is equal to n! / (k! × (n-k)!).
For this problem, n = 5 (the number of people you ask), k = 2 (the number of people who have cats), and p = 0.3 (the probability of a person having a cat, according to the survey).
P(2) = (5 choose 2) × 0.3² × 0.7³
P(2) = 0.252
To find the probability of at least 2 people having a cat, we have to add up the probability of getting exactly 2, 3, 4, and 5 people having cats.
P(≥2) = P(2) + P(3) + P(4) + P(5)
Substituting the values we get:
P(≥2) = 0.252 + 0.189 + 0.072 + 0.009 = 0.522
So, the probability that at least 2 people have a cat is 0.522 or 52.2%.
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I need help I will give brainliest
Answer:
Step-by-step explanation:
5). Triangle DEF is an equilateral triangle.
Therefore, measure of all sides and the angles of the triangle will be equal.
DE = EF = DF = 5.2 ft
3y + 1 = 5.2
3y = 5.2 - 1
3y = 4.2
y = 1.4
Similarly, m∠D = 60° [Measure of all angles of an isosceles triangle = 60°]
(5x)° = 60°
x = [tex]\frac{60}{5}[/tex]
x = 12
6). Property to be used in ΔFGH,
"Two sides of an isosceles triangle are equal in measure and opposite angles of the equal sides of the triangle are equal"
FG = GH
3y = 12.9
y = 4.3
m∠F = m∠H
4x = 44
x = 11
find the measure of the exterior angle.
Answer:
110°
Step-by-step explanation:
t+(t+10)+(t+20)=180
t+t+10+t+20=180
3t=180-10-20
3t=150
t=50°
t+20=50+20
=70
180-70=110°
25% of what number is 8?
Answer:
32
Step-by-step explanation:
25% of 32 is 8. 100% of 32 is 32, therefore 25 percent of 32 equals 8.
The instruction booklet for a DVD
player says that the player uses about
0.4 kilowatt of electricity per hour. If
electricity costs $0.20 per kilowatt hour,
how much does it cost to run the player
for an hour?
Answer:
$.08
Step-by-step explanation:
it takes 0.4 per hour and it costs $0.20 per hour so you multiply the two numbers together.
0.4 x 0.20 = $.08
please help me with the correct answer
Answer:
1i)-7 ii)15 iii)-17 iv)8 v)5
2i)5 ii)-34 iii)-82 iv)1 v)0
Step-by-step explanation:
The numerator is the number on the top of a fraction
The denominator is the numer on the bottom of the faction.
Answer:
Step-by-step explanation:
1. Numerator
(i) (-7)/5 = -7
(ii) 15/(-4) = 15
(iii) (-17)/(-21) = 17/21 = 17
(iv) 8/9 = 8
(v) 5 = 5/1 = 5
2. Denominator
(I) (-4)/5 = 5
(ii) (11)/(-34) = -34
(iii) (-15)/(-82) = (15/82) = 82
(iv) 15 = 15/ 1 = 1
(v) 0 = 0/1 = 1
[tex]3. \ \frac{(-3) \times 4}{7} \ , \ \frac{(34-23) \times (7-4)}{11}[/tex]
4. Rational numbers as integers
(17)/1 = 17
(-23)/1 = -23
35/1 = 35
(-77)/1 = -77
91/1 = 91
i put the picture below
Answer:
I don't know the answer I just need the points
Step-by-step explanation:
..
In triangle FGH shown below, what is the measure of angle F? (giving brainliest and thanks to all!)
Answer:
F= 180 - (127°+33.5°)
180- 160.5
= 19.5°
Step-by-step explanation:
Angles in a triangle add up to 180°
Step-by-step explanation:
127° + 33.5° + F = 180° (Angle sum property)
160.5° + F = 180°
F = 180° - 160.5° = 19.5
Therefore, F = 19.5
3.(09.01 MC)
Henry rolls 2 number cubes numbered 1 through 6 while playing his favorite board game. He will get a second turn if he rolls a sum that is an even number less than 10.
What are Henry's chances of getting a second turn when he rolls the number cubes? (2 points)
Answer:
Step-by-step explanation:
The even numbers less than 10 are
2 which can only be done 1 way: when you roll snake eyes.
4 can be done 3 ways (2,2) (3,1) and (1, 3)
6 can be done 5 ways (2,4) (4,2) (5,1) (1,5) and (3,3)
8 can be done 5 ways (4,4) (2,6)(6,2)(5,3) and (3, 5)
There are 36 ways of throwing the number cubes.
We have a total of 5 + 5 + 3 + 1 = 14 ways
The answer you want is
14/36 = 7 / 18 = 0.389
The graph of y = f(x) is the solid black graph below. Which function represents the
dotted graph?
Submit
Answer
Submit Answer
y = f(x + 2) +1
y= f(x - 2) - 1
y = f(x + 2) - 1
y = f(x - 2) +1
Answer:
Step-by-step explanation:
y = f(x + 2) +1
7.
Find the value of x. If necessary, round to the nearest tenth.
A. 8.8 in.
B. 10.4 in.
C. 5.2 in.
D. 7.3 in.
Answer:
C. 5.2
Step-by-step explanation:
5.2
Answer:
C. 5.2
Step-by-step explanation:
Solve the expression for a=12 , b=6 and c=3
Answer:
12(6^2-6x3)= 216
3^2 = 9
Step-by-step explanation:
216/9 = 24
In the 1990's about 75% of high school graduates attended college. A survey of 2,000 high school graduates was taken in 2018 that showed 1,453 attended college. Do these responses provide strong evidence that the 75% figure is not accurate for current graduates? State the hypothesis and your conclusion using statistical evidence. What does your conclusion mean in context?
Answer:
These responses do show strong evidence that the 75% figure is accurate for current high school graduates going off to attend college
Step-by-step explanation:
1453/2000 = .7265 or 72.65%
If 1,453 students of a 2,000 student high school attend college after high school, than 72.65% of the students in the high school on average will attend college after they graduate. This percentage compared to the 1990's are a mere 2.35% behind the 75% mark. In this example that is the difference between 1,453 students and 1,500 students. Since these percentages are relatively similar, a conclusion could be made that the 75% mark is an accurate average representation of how many high school graduates will attend college in the future.
Match the corresponding sides.
Simplify the following expression using imaginary numbers. Express your answer in a + bi form
i^80+i^38-i17 please show work
0 - 17i
Step-by-step explanation:Given expression;
i⁸⁰ + i³⁸ - i17
To express the expression in the form a+bi;
i. Rewrite the expression such that it contains terms in i²
(i²)⁴⁰ + (i²)¹⁹ - i17
ii. Solve the result from (i) above using the identity i² = -1
We know that the square root of -1 is i. i.e
[tex]\sqrt{-1} = i[/tex]
Squaring both sides gives
=> [tex](\sqrt{-1} )^{2} = i^{2}[/tex]
=> -1 = i²
Therefore,
i² = -1
Substitute i² = -1 in step (i) above
(-1)⁴⁰ + (-1)¹⁹ - i17
(iii) Solve the result in (ii)
We know that the when a negative number is raised to the power of an even number, the result is a positive number. If it is raised to the power of an odd number, the result is a negative number. Therefore,
(-1)⁴⁰ + (-1)¹⁹ - i17 becomes
1 + (-1) - i17
0 - i17
(iv) Write the result from (iii) in the form a+bi
0 - 17i
On a math test, a group of children scored 25, 17, 21, 25, 23, 21, 27, 21, and 18 out of a total of 30. Find their median.
Answer:
21
Step-by-step explanation:
Place the values in ascending order like this:
17,18,21,21,21,23,25,25,27
Find the middle value:
21
So 21 is the median
(7x2 + 8x – 4) – (6x2 + 8x – 6)
Answer:
x² + 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(7x² + 8x - 4) - (6x² + 8x - 6)
Step 2: Simplify
[Distributive Property] Distribute negative: 7x² + 8x - 4 - 6x² - 8x + 6[Subtraction] Combine like terms (x²): x² + 8x - 4 - 8x + 6[Subtraction] Combine like terms (x): x² - 4 + 6[Addition] Combine like terms: x² + 2Answer:
x ² + 2
Step-by-step explanation:
7 x² + 8 x - 4 - 6 x² + 8 x - 6
combine like terms
7 x² - 6 x² + 8 x - 8 x - 4 + 6
x² - 4 + 6
x ² + 2
What is the length of the side marked x to the nearest tenth? (giving brainliest and thanks to all!)
Answer:
Step-by-step explanation:
pythagors theorem
a^2+b^2=c^2
15^2+x^2=21^2
225+x^2=441
x^2=441-225
x=[tex]\sqrt{216[/tex]
x=6[tex]\sqrt{6[/tex]
=14.69
x=14.7 km
Someone please help me thank you
Answer:
The equation of the line that passes through the points
(-4,4) and (6,4)
is
y=+4
Step-by-step explanation:
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
m= y2-y1/ x2-x1
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (-4,4), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=-4 and y1=4.
Also, let's call the second point you gave, (6,4), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=4.
Now, just plug the numbers into the formula for m above, like this:
m=0
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=0x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(-4,4). When x of the line is -4, y of the line must be 4.
(6,4). When x of the line is 6, y of the line must be 4.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=0x+b. b is what we want, the 0 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-4,4) and (6,4).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!
You can use either (x,y) point you want..the answer will be the same:
(-4,4). y=mx+b or 4=0 × -4+b, or solving for b: b=4-(0)(-4). b=4.
(6,4). y=mx+b or 4=0 × 6+b, or solving for b: b=4-(0)(6). b=4.
See! In both cases we got the same value for b. And this completes our problem.
m came out to be zero, so there is no "mx" term.
Find the slope of the line that passes through the pair of points
(3,-3), (3,-4)
A undefined
B 0
C -7/6
D -6/7
Answer:
undefined
Step-by-step explanation:
To find the slope through 2 points
m = ( y2-y1)/(x2-x1)
= ( -4 - -3)/(3 - 3)
= ( -4+3)/(3-3)
= -1/0
Since it is a number divided by zero, the slope is undefined