Answer:
-8
Step-by-step explanation:
The final temperature was -18 °F if it decreased by 5 degrees.
What is the addition operation?The addition operation in mathematics adds values on each side of the operator.
For example 4 + 2 = 6
The temperature was -13 °F and then dropped 5 degrees.
As per the question, we have data as follows:
The initial temperature = -13 °F
The changed temperature = -5 °F (negative sign indicates temp dropped)
Final temperature = initial temperature + changed temperature
Final temperature = -13 °F + (-5 °F)
Final temperature = -13 °F - 5 °F
Apply the addition operation, and we get
Final temperature = -18 °F
Therefore, the final temperature was -18 °F.
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Which two polynomials have a sum of 4x−6? (1 point)
A. (−4x^2+x−3) and (−4x^2+3x+3)
B. (−4x^2+x−3) and (4x^2+3x−3)
C. (−4x^2+x−3) and (4x^2+3x+3)
D. (−4x^2+x−3) and (4x^2−5x−3)
Answer:
B
Step-by-step explanation:
money is shared out between Paul and Helen in the ratio of 3:4 Helen receives £20. How much did Helen receive?
Answer:
Step-by-step explanation:
Paul receives 3x; Helen receives 4x.
4x = £20
x = £5
Paul receives £15
A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected
from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli with mean weight of 15.26 grams and standard deviation of 2.56 grams. The margin of error (ME) to construct a 99% confidence interval for the true mean amount of cheese filling is
A) 2.064 B) 1.432 C) 3.745 D) 1.276 E) 1.797
b. A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected
from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli and measure the weight of cheese filling. They find the 99% confidence interval of 14.16 to 15.84 grams. Which of the following is the correct interpretation?
I. We are 99% confident that the mean weight of cheese filling in all ravioli made by this process is between 14.16 and 15.84 grams.
II. 99% of all ravioli made by this process will have cheese filling weights between 14.16 and 15.84 grams.
III.We are 99% confident that the interval (14.16, 15.84) contains the mean weight of cheese filling in all ravioli made by this process.
IV. The weight of cheese filling in the ravioli is between 14.16 and 15.84 grams 99% of the time.
A) I only
B) III only
C)I and III.
D) II and III
E) I and IV
Answer: a. B) 1.432
b. E) I and IV
Step-by-step explanation:
a. Margin of error to construct a 99% confidence interval is calculated as
[tex]ME=t.\frac{s}{\sqrt{n}}[/tex]
where
t is the critical value expressed as t-score, which comes from t-distribution;
s is sample standard deviation
n is sample size
In this case, a t-score is used because the population standard deviation is unknown and the sample size is small, n < 30.
The way to find t-score is:
1) Define the degree of freedom, which is sample size minus 1: df = n - 1;
2) Compute alpha: [tex]\alpha=1-\frac{confidence}{100}[/tex];
3) Find the critical probability: [tex]p=1-\frac{\alpha}{2}[/tex]
With the df and critical probability, consulte the t-distribution table and find the score.
For the cheese filling:
df = 24
p = 0.995
t-score = 2.797
Calculating margin of error:
[tex]ME=2.797.\frac{2.56}{\sqrt{5}}[/tex]
ME = 1.432
The margin of error to construct a 99% confidence interval for the true mean amount of cheese filling is 1.432.
b. Confidence interval is an interval in which we have a percentage of certainty that the true population mean is. For example, with a 99% confidence interval of 14.16 to 15.84 grams, we are 99% confident that the true mean weight of cheese filling is between those numbers or that the weight of cheese filling is between 14.16 and 15.84 grams 99% of the time.
Evaluate (14 + x) = 2 when x = 4. A. 7 O B. 18 C. 11 D. 9
Answer:
14+4=18 have a good day Ahead
Explain your answer !!
Have a nice day
Will give braisnlt
Answer:
(B)
b + t = 15
2b + 3t = 45
Step-by-step explanation:
Bicycles and tricycles are represented by the letters b and t respectively.
total no of bicycles and tricycles = 15
So,
b + t = 15
Each bicycle has 2 wheels and each tricycle has three wheels.
So,
No of wheels in b bicycles = 2b
No of wheels in t tricycles = 3t
Total no of wheels = 45
So,
2b + 3t = 45
7.2 is 15% of what number?
Answer:
48
Step-by-step explanation:
Dale has set up his own business. He now needs funds to buy a new machine to cater to those consumers whose needs could not be met earlier due to lack of infrastructure and funds. Which stage is his business in?
A.
seed stage
B.
growth stage
C.
maturity stage
D.
decline stage
The correct answer is growth stage
Answer:
The answer is B
Step-by-step explanation:
The preceding two stages are development stage and startup stage. In growth stage one should first focus on fine tuning the business model and by finding ways for operational inefficiencies. Dale has actually already identified the inefficiency which is new machines and non being able to cater to some customers due to lack of machines. In this exact stage businessman try to grow the business by analyzing the main profit drivers and the finding ways to grow the profit driver with less cost
Please help need answer!
Answer: About 513 feet
A more accurate value is roughly 512.575960394824
==============================================================
Explanation:
With many trig problems, a diagram should help steer you in the right direction. See below.
The red angle is the angle of depression. It's formed by starting off looking straight horizontal, then we look down 26 degrees. The blue angle adds to the red angle to get 90, so we can see that 26+64 = 90. Or you could say 90-26 = 64.
The goal is to find the value of x, which is the length from B (the lighthouse base) to point C (the ship's location).
The lighthouse is 250 ft tall, meaning AB = 250
We'll use angle BAC, or angle A for short, as the reference angle. This is the blue angle in the diagram.
We have a known adjacent side (AB = 250) and an unknown opposite side (BC = x). We use a tangent ratio to tie these sides together with the reference angle in question. This way we can solve for x.
-------------------
tan(angle) = opposite/adjacent
tan(A) = BC/AB
tan(64) = x/250
250*tan(64) = x
x = 250*tan(64)
x = 512.575960394824
x = 513
The distance from B to C is roughly 513 feet.
I'm rounding to the nearest whole number because the other values given to you are whole numbers.
Multiply. Write your answer as a fraction or as a whole or mixed number.
Pls help and explain
Answer:
6
Step-by-step explanation:
So you want to round both denomaters to what they can mutiply to so it will be 6 so the 4 1/2 will be 4 3/6 and the 2 2/3 will be 2 4/6. Then you multiply to get 6
Robert painted 4/8 of each tile with green paint. He painted 52 tiles. What is the total amount of tiles that he painted green?
Please show an explanation to solve this problem. Thank you.
Answer:
The answer is 26
Step-by-step explanation:
All we do is multiply 4/8 by 52.
52 = 52/1
52/1 * 4/8 = 208/8
208/8 = 26
So the answer is 26.
Hope this helps! :)
The cost to mail a package is $7 for the first 2 pounds and 30 cents for each additional ounce.
Which of the following functions represents the cost to mail a package if x is the number of ounces over 2 pounds?
ƒ(x ) = 7 + 0.3x
ƒ(x ) = 14 + 0.3x
ƒ(x ) = 0.3(x + 2)
Answer:
the first one
Step-by-step explanation:
The cost to mail a 2-lb package is $7.
The cost to mail a 2-lb, 1 oz package is $7+$0.30(1).
That to mail a 2-lb, 2 oz package is $7+$0.30(2) = $7.60.
Following this pattern, the general formula is f(x) = $7 + $0.30x, where x represents the number of ounces OVER 2 lb.
Determine the domain and range of the graphed function.
A) domain: (-∞, ∞) range: (-∞, 10)
B) domain: (-∞, ∞) range: (-∞, 10]
C) domain: (-∞, 10) range: (-∞, ∞)
D) domain: (-∞, 10] range: (-∞, ∞)
Answer:
B
Step-by-step explanation:
We assume the function goes infinitely both "left" and "right" so the domain is (-inf, inf).
We can also see that it has a maximum in (0, 10), so it takes all the values from -inf to 10 exactly. If it never reached 10, it'd be (-inf, 10) but it does, so it's (-inf, 10].
How many decimal places are in the product?
1.684×10.2
Answer:
4
Step-by-step explanation:
in all there is 4 places behind the decimal
Answer:
4
Step-by-step explanation:
17.1768
Skyler getting a delivery from Chick-fil-A they charge $3 delivery fee plus $0.25 per mile write an equation to find the total cost y for a delivery that is X miles away
Answer:
y = 3 + 0.25x
Step-by-step explanation:
x represents the miles and if Skyler is charged $0.25 per mile, then x goes with the 0.25. The $3 is a flat fee and doesn't get added any more times then when it is first added.
- Rachel has some apples and bananas.
The ratio of apples to bananas is 2:3
She has 14 apples.
Work out how many bananas Rachel has
solve the equation to find x. 2 Area 285 cm 15 cm
Answer:
I think your question is not complete..
can you write the question in a way which will determine in what way you want your answer..
i mean from what to find x..
Area is given as 285cm
what is 15 cm for?
from here where is x given to find?
please help!! I don't know anything about the unit I'm on and this along with other questions soon would help me so much
Answer:
x + 21 + 33 = 180
x + 54 = 180
x = 126
PLZ BRIANLiest me!!!
Step-by-step explanation:
what is the solution of this system of Linear equations? y=3×-2 and y-2=×
Answer:
(2, 4)
Step-by-step explanation:
Given the system of equations
y=3×-2.... 1
y-2=× ... 2
Substitute 2 into 1
y = 3(y-2) - 2
y = 3y - 6 - 2
y - 3y =-6-2
-2y = -8
y = -8/-2
y = 4
Recall that
x = y - 2
x = 4-2
x = 2
Hence the solution (x, y) is (2,4)
11, 14, 17, ...
Find the 42nd term.
Answer:
Step-by-step explanation:
5
,
8
,
11
,
14
,
17
This is an arithmetic sequence since there is a common difference between each term. In this case, adding
3
to the previous term in the sequence gives the next term. In other words,
a
n
=
a
1
+
d
(
n
−
1
)
.
Arithmetic Sequence:
d
=
3
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
Substitute in the values of
a
1
=
5
and
d
=
3
.
a
n
=
5
+
(
3
)
(
n
−
1
)
Simplify each term.
What is 24 divided by 849, be sure to show your work.
Answer:
0.02826855123 or 35.37
Step-by-step explanation:
24/849 = 0.02826855123
849/24 = 35.37
find the image of ( 1 , 2 ) after a reflection about y = x followed by a reflection about y = - x
PLS ONLY ANSWER IF YOU KNOW THE ANSWER.
Answer:
(-1,-2)
Step-by-step explanation:
Think of the line y=x as a mirror. The image of the point (1,2) is obtained by drawing a line through (1,2) perpendicular to the line y=x and finding the point on the perpendicular line that is equal distance from the line y=x but on the other side. This gets you to the point (2,1).
Similarly, from (2,1) find the mirror image using the line y=-x as the mirror. You travel diagonally 1.5 diagonal squares to reach y=-x and then continue another 1.5 diagonals to reach (-1,-2) which is your answer.
help with math plsssssssss
Factor completely:
5s4 + 20s3 - 40s
Answer:
5s(s3 + 4s2 - 8)
Step-by-step explanation:
Greatest common denominator is 5s
divide all the terms by 5s
5s4 / 5s = s3
20s3/5s = 4s2
-40s/5s = -8
a movie poster is 10 in long and 22 inch tall what is th are of this poster
Answer:
220
Step-by-step explanation:
Area = length · width
Area = 22 · 10
Area = 220
Note:
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pablos pizza makes a profit of $495 each day for 12 days, what is the profit for the 12 days
Answer:
5940
Step-by-step explanation:
495 x 12 = 5940
The first night in a hotel costs 60 dollars. All additional nights cost 49 dollars. How many nights did we stay
at this hotel if the total bill was 501 dollars?
nights
Which function is most likely graphed on the coordinate plane below?
y у
Answer:b
Step-by-step explanation:
i took it
Simplify the product
5/n+1*n+1/n+3
5n+1/n^2 + 4n+ 3
5n+1/n^2+4n+3
5/n+3
5n+1/n+3
Answer:
5(n+1)/((n+1)(n+3))
5/(n+3) is a answer
Step-by-step explanation:
(n+1)/(n+1)=1
The solution is, the simplified product of the expression 5/n+1*n+1/n+3 is 5/(n+3) .
here, we have,
given that,
the expression is 5/n+1*n+1/n+3
now, we have to find the simplified product.
as, * means the multiplication,
we get,
5/n+1*n+1/n+3
=5*(n+1)/((n+1)*(n+3))
now, we know that,
(n+1)/(n+1)=1
so, we get,
5*(n+1)/((n+1)*(n+3))
=5*1 /(n+3) *1
=5/(n+3) is a answer
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F(x)= 3x +15 reflect over the X axis what is the y intercept
Answer:
y is 15 x is 3
Step-by-step explanation:
Two parallel lines are cut by a transversal. Find the value of x
Answer:
x = 18
Step-by-step explanation:
you set the 2 equations equal to eachother
you minus x on both sides to get x on one side
than find the answer