Answer:
I'll help
Step-by-step explanation:
At work one day, Erica Franz received 11 packages. Speedy Delivery delivered four times as many as Ralph's Express, while Ralph's Express delivered one more than SendQuick Package Service. How many packages did each service deliver to Erica?
She received 1 package from SendQuick Package Service, 2 packages from Ralph's Express and 8 packages from Speedy Delivery
What is a word problem?A word problem is a mathematical exercise which is in the form of a hypothetical question that needs mathematical analysis and equations to be solved.
Let SQPS represent SendQuick Package Service
SD represent Speedy Delivery
RE represent Ralph's Express, then:
Let the number of packages from SQPS be x
The number of packages from RE will be x+1
The number of packages from SD will be 4(x+1)
Given that the total number of packages received is 11, then:
x + x+1 + 4(x+1) = 11
x + x+1 + 4x + 4 = 11
6x + 5 = 11
6x = 11-5
6x = 6
x = 1
x = 1 package from SQPS
x + 1 = 2 packages from RE
4(x+1) = 8 packages from SD
Therefore, Erica Franz received 1 package from SendQuick Package Service, 2 packages from Ralph's Express and 8 packages from Speedy Delivery
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True or false: Regression calculations are typically done on a computer because the calculations can be quite tedious and lengthy.
True: Regression calculations are typically done on a computer because the calculations can be quite tedious and lengthy.
A regression is a statistical technique that relates a dependent variable to one or more independent (explanatory) variables. A regression model is able to show whether changes observed in the dependent variable are associated with changes in one or more of the explanatory variables
True. Regression calculations involve complex mathematical computations and analyzing large datasets, which can be time-consuming and prone to errors if done manually. Using a computer with specialized software can automate the process, making it faster, more accurate, and efficient.
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Question 7 (1 point)
Which point is a solution to the following inequality?
Answer:
option b (4,-4)
Step-by-step explanation:
this is because this is a less than or greater than inequality and there is no equal so we can’t have anything touching the line and that eliminates d. But all the others are outside the shaded blue so, option b is the only one in there
Solve this thing pls
\(3\left(q-7\right)=27\)
Answer:
Solution of equation ( q ) = 16Step-by-step explanation:
In this question we have given an equation that is 3 ( q - 7 ) = 27 and we have asked to solve this equation that means to find the value of q .
Solution : -
\( \quad \: \longmapsto \: 3(q - 7) = 27\)
Step 1 : Solving parenthesis :
\(\quad \: \longmapsto \:3q - 21 = 27\)
Step 2 : Adding 21 on both sides :
\(\quad \: \longmapsto \:3q - \cancel{ 21} + \cancel{21} = 27 + 21\)
On further calculations we get :
\(\quad \: \longmapsto \:3q = 48\)
Step 3 : Dividing by 3 from both sides :
\(\quad \: \longmapsto \: \frac{ \cancel{3}q}{ \cancel{3}} = \cancel {\frac{48}{3} }\)
On further calculations we get :
\(\quad \: \longmapsto \: \pink{\boxed{\frak{q = 16}}}\)
Therefore, solution of equation ( q ) is 16 .Verifying : -
Now we are very our answer by substituting value of q in the given equation . So ,
3 ( q - 7 ) = 273 ( 16 - 7 ) = 273 ( 9 ) = 2727 = 27L.H.S = R.H.SHence, Verified.Therefore, our solution is correct .
#Keep LearningAnswer:
The value of q is 16\( \: \)
Step-by-step explanation:
So here, a equation is given and we are asked to solve the equation.
\( \\ \dashrightarrow \sf \qquad3(q-7)=27 \\ \\ \)
For this, we have to use the Distributive property, which is :
a(b + c) = ab + ac\(\\ \dashrightarrow \sf \qquad3q-21=27 \\ \\ \)
Transposing the constant term (-21) to the right side we get :
\(\\ \dashrightarrow \sf \qquad3q=27 + 21 \\ \\ \)
Adding the like terms :
\( \\ \dashrightarrow \sf \qquad3q=48 \\ \\ \)
Now, We'll divide both sides by 3 :
\( \\ \dashrightarrow \sf \qquad \frac{3q}{3} = \frac{48}{3} \\ \\ \)
\(\dashrightarrow \bf \qquad \: q=16 \\ \\ \)
Need to know the answer to this and be explained
The combined surface area of the two rectangular prisms in this problem is given as follows:
S = 626 yd².
What is the surface area of a rectangular prism?The surface area of a rectangular prism of height h, width w and length l is given by:
S = 2(hw + lw + lh).
This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.
For this problem, we have two prisms, with the dimensions given as follows:
4 yd, 4 yd and 12 yd.12 yd, 11 yd and 3 yd.Hence the combined surface area is given as follows:
S = 2 x (4 x 4 + 4 x 12 + 4 x 12) + 2 x (12 x 11 + 12 x 3 + 11 x 3)
S = 626 yd².
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∣1−9∣ ÷∣−8−8∣=
Answer as a fraction.
Answer:
The answer is \(\frac{1}{2}\)
Step-by-step explanation:
Answer:
\(\frac{1}{2}\)
Step-by-step explanation:
Koji is installing a rectangular window in an office building. The window is
8 2/3 feet wide and 5 3/4 feet high.
The formula for Area: A = bh
What is the area of the window?
Show your answer as a simplified mixed number.
A. 49 ft2
B. 49 5/6 ft2
C. 49 10/12 ft2
D. 598/12 ft2
The area of the window is 49 10/12 square feet, which can be simplified to 49 5/6 square feet. The answer is (B) 49 5/6 ft2.
What is rectangle?The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.
The width of the window is 8 2/3 feet and the height is 5 3/4 feet. To find the area, we can simply multiply these two values:
Area = width × height
Area = (8 2/3 feet) × (5 3/4 feet)
First, we need to convert the mixed numbers to improper fractions:
8 2/3 = (8 × 3 + 2)/3 = 26/3
5 3/4 = (5 × 4 + 3)/4 = 23/4
Now, we can multiply the fractions:
Area = (26/3 feet) × (23/4 feet)
Area = (26 × 23)/(3 × 4) square feet
Area = 598/12 square feet
To simplify the mixed number, we can divide the numerator by the denominator:
598 ÷ 12 = 49 10/12
Therefore, the area of the window is 49 10/12 square feet, which can be simplified to 49 5/6 square feet. The answer is (B) 49 5/6 ft2.
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Participants in a survey were asked the number of hours of television they
watch each week. The dot plot shows the distribution of their responses.
·
H
0 2
4 6 8 10 12 14 16
Number of Hours
After the data was recorded in the dot plot, another response was found for a
participant who watches 30 hours of television each week. How will this
additional data point affect the mean number of hours of television watched
each week?
A. The effect on the mean number of hours cannot be determined.
B. The mean number of hours will decrease.
C. The mean number of hours will increase.
D. The mean number of hours will remain the same.
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-3/4m-1/2=2+1/4m
2
3
4
5
9514 1404 393
Answer:
4
Step-by-step explanation:
The fractions involved are 3/4, 1/2, 1/4. These have a least common denominator of 4. All of the fractions can be eliminated by multiplying the equation by 4.
-3/4m -1/2 = 2 +1/4m . . . . . . given
-3m -2 = 8 + m . . . . . . . . . . . multiply by 4 (eliminates fractions)
-10 = 4m . . . . . . . . . . . . . . . . add 3m-8
-5/2 = m . . . . . . . . . . . . . . . . divide by 4
__
Check
-3/4(-5/2) -1/2 = 2 + 1/4(-5/2)
15/8 -4/8 = 16/8 -5/8
11/8 = 11/8 . . . . . answer checks OK
The triangle below is isosceles. Find the length of side
x to the nearest tenth.
Answer:
x=2.3
Step-by-step explanation:
Isosceles triangle means both sides are the same length, triangle is also right meaning you can plug values into Pythagorean theorem (\(a^2+b^2=c^2\))
\(x^2+x^2=\sqrt{11}^2 \\2x^2=11\\x=\sqrt{\frac{11}{2} } \\x=2.345...\\x=2.3\)
Assuming all my math is right, this is your answer
In a small town in the Himalayas, the average snowfall each month is 6 inches. July is the month with the lowest average snowfall, of 1 inch. Construct a function that models this behavior. During what period is there more than 10 inches of snowfall?
The function that models the above behavior is given as:
f(x) = ACos(B(x + C)) + 6 ..... .......i
where x = 1 (that is January)
D (Average Snowfall) = 6.
Hence, the amplitude (A) is given as:
A = 6-1
= 5
What is a mathematical function?A mathematical function is a function comprising of different variables that represent different factors or events and the relationships between them.
Recall that in a year we have 12 months. Hence, P = 12
→ P = (2π) /.B → (2π)/B = 12 → B = π/6
Taking the values of A and B and plugging them in, we ahve:
F(x) = 5 cos (π/6(x + C)) + 6................ii
This means that in July, we'll have
x = 7 and f(x) = 1
Therefore,
1 = 5cos ((π/6) (7 + C) + 6 → 5 Cos ((π/6) (7 + C) → -5cos ((π/6) (7 + C)
= -1
→ ((π/6) (7 + C) = π
→ 7 + C = 6
→ C = -1
Taking equation ii, we have
F(x) = 5cos ((π6) (x -1)) + 6
F (x) > 10
Therefore
5cos ((π/6) (x-1) + 6 > 10
→ cos ((π/6) (x-1) + 6 > 4/5
→ (π/6) (x-1) > Cos⁻¹ (4/5)
(π/6) (x-1) < 0.6435 and
(π/6) (x-1) > 5.6397
→ x < 2.23 and x > 11.77
The interpretation is that upwards of ten inches of snow fall in January, February, November, and December.
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Given that f(x) = x^4 +5,g (x) is the inverse of f (x), and g (6) = 1 find g' (6).
Select one answer
A 4
B 1/4
C 9
D 1/9
Answer:
B 1/4
Step-by-step explanation:
f(x) = y = x⁴ + 5
the inverse function is
y - 5 = x⁴
x = 4th root(y - 5)
now we rename y and x to make it a regular function definition :
g(x) = y = ±4th root(x - 5) = ±(x - 5)^(1/4)
because g(6) = 1 (positive), we have
g(x) = (x - 5)^(1/4)
and since we are using the positive branch, it means also that all the tangent slopes (= g'(x)) are positive.
g'(x) = 1/4 × (x - 5)^(-3/4) × 1 = 1/4 × (x - 5)^(-3/4)
because (x - 5)' = 1
g'(6) = 1/4 × (6 - 5)^(-3/4) = 1/4 × (1/1³)^(1/4) =
= 1/4 × 1^(1/4) = 1/4 × 1 = 1/4
please note, we are using only the positive root result in this case to get a positive result as tangent slope for g(x) as enforced by g(6) = 1.
what does it mean to say that an allele is "fixed"?
Answer:
When we say that an allele is "fixed," it means that a particular allele has reached a frequency of 100% in a population.
Step-by-step explanation:
Alleles are different forms of a gene that occupy the same position on homologous chromosomes. In a population, different alleles can exist for a specific gene. However, through various evolutionary processes such as natural selection, genetic drift, or gene flow, one allele may become predominant and eventually fixate within the population.
The fixation of an allele can occur through different mechanisms. For example, if a beneficial allele provides a selective advantage to individuals carrying it, it is more likely to increase in frequency and eventually become fixed in the population. On the other hand, genetic drift, which is the random change in allele frequencies due to chance events, can also lead to the fixation of an allele, especially in small populations.
Once an allele is fixed in a population, it means that all future generations will inherit that allele, and no alternative alleles will be present at that particular gene locus.
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What do u get when u Simplify (5b)(-3a).
Elena drank 3 liters of water yesterday. Java drank 3/4 time as much water as Elena. Line drank twice as much as much water as jada. Did Line drank more or less water than Elena
Daily output of Marathon's Garyville, Lousiana, refinery is normally distributed with a mean of 232,000 barrels of crude oil per day with a standard deviation of 7,000 barrels.
What is the probability of producing less than 239,000 barrels? (Round your answer to 4 decimal places.)
The probability of producing less than 239,000 barrels is 0.8413.
The probability of producing less than 239,000 barrels can be found using the z-score formula. The z-score formula is given by:
z = (x - μ) / σ
Where x is the value we are interested in, μ is the mean, and σ is the standard deviation.
Plugging in the given values, we get:
z = (239,000 - 232,000) / 7,000
z = 1
Now, we can use the standard normal table to find the probability of producing less than 239,000 barrels. The standard normal table gives the probability of a value being less than a given z-score. For a z-score of 1, the probability is 0.8413.
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help help help help help help help help pls
A certain area can support 124 deer. Initially, there were 2 deer in the area, and the number has been growing at an average rate of 10% per month. What logistic function describes this situation?
After considering the given data we can come to the conclusion that the particular equation that will be perfect for this logistic function is \(P(t) = 124/1 + 122e^-{0.1t}\), under the condition a certain area can support 124 deer. And, there were 2 deer in the area, and growing at an average rate of 10% per month.
The logistic function that describes this situation is given by the formula:
\(P(t) = 124/1 + 122e^{-0.1t}\)
Here,
P(t) = population of deer at time t in months.
This is an instance of a logistic function. The logistic function is applied to project situations in which there is a limit to population growth. For the given case, the carrying capacity of the area is 124 deer.
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15.31 x 0.7
10.717
11.717
107.17
1.0717
Answer:
10.717
Step-by-step explanation:
15.31×0.7 = 10.717
What polynomial can be factored to give (a + 4) ( a - 4) ?
Answer:
(a+4)(a-4)=a²-4² ITS LIKE THIS BECAUSE ITS AN IDENTITY,
⇒a²-16
Even when we solve it by the regular method of solving polynomials we get a²-16 as answer as there and thats the proof for the identity.
(a+b)(a-b)=a(a-4)+4(a-4)
⇒a²-4a+4a-16
⇒a²-16[NOTE:-4a+4a=0]
Thus we can see that a²-16 is the answer we get when we try to solve it by regular polynomial solution tooo.
And a²-16 is the polynomial from which we get (a+4)(a-4)
Jeanne wants to start collecting coins and orders a coin collection starter kit. The kit comes with three coins chosen at random, each in a small envelope. Each coin is either a nickel, a dime, or a quarter. Use conditional probability to solve the following:
What is the probability that all three coins are quarters if the first two envelopes Jeanne opens each contain a quarter?
What is the probability that all three coins are different if the first envelope Jeanne opens contains a dime?
A)1/3;2/9
B)1/5;5/6
C)3/10;6/10
D)1/2;3/6
Answer:
1/3
Step-by-step explanation:
Answer:
1/3; 2/9
Step-by-step explanation:
Can Somebody help me real fast?
Answer:
This is your answer ☺️☺️☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
Calculate the slope of the line for Graph B.
Answer:
-1
Step-by-step explanation:
rise = -2
run = 2
Slope = rise / run
= -2/2 = -1
Since also the angle made by the line and x axis in anti clockwise direction is > 90° the slope will be-ve .
Answer:
Slope = -1
Step-by-step explanation:
You are provided with two points on the line (-5, 7) and (1,1).
\(Slope = \frac{y_{2} -y_{1}}{x_{2} -x_{1}}\)
\(Slope = \frac{7-1}{-5-1} =\frac{6}{-6} =-1\)
You walk 1/4 miles to a music store. Then you walk another 1/3 miles to a clothing store. How many miles have you walked in all?
Answer: The answer is 7/12
Step-by-step explanation:
First, multiply the denominators by each other (4*3) and you get 12. Then 12 is the main denomanator. Then multiply the numberators by the opposite numberator. (3*1 and 4*1). Then you will put (4/12+3/12) which you add the numberators together but keep the same denomerator and you will get (7/12)
If the supplies on shelf A are normally $7 each and the supplies on shelf B are normally $6 each, how much will you save on each package plan from part a? Buying the first package will save $ and buying the second package will save $
a street vendor sells two types of newspapers one for 25 cents and the other for 40 cents. fi she sold 100 newspaper for 28.00 how many newspapers did she sell at 25 cents
She did sell the newspapers for $.25 each at age 80. The equation is referred to as a linear equation in one variable if only one variable is present in the linear equation.
A linear equation is what?It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.
The information provided in the issue is;
One newspaper will set you back $.25.
Other newspapers are $.40 each.
The 100 newspapers were purchased for $28.00.
x is the quantity of newspapers sold for $.25 each.
Y stands for the other newspaper's number.
The total of both newspapers is one hundred.
x+y=100
y=100-x
25x+ 40y=28.00
25x+40(100-x)=2800
25x+4000-40x=2800
-15x+4000=2800
-15x=-1200
x=80
She therefore sold 80 newspapers for $.25 each.
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Which equation is true for the value b = 10?
a 2(b + 4) = 16
b 2(b + 2) = 40
c 3(b – 2) = 24
d 2(8 + b)
estimate the perimeter of the figure
Answer:
around 18 units
Step-by-step explanation:
Reaching out 2 standard errors on either side of the sample proportion makes us about _________ confident that the true proportion is capable within the interval
a. 90%
b. 99%
c. 95%
d. 68%
The correct answer is option c. 95%. Reaching out two standard errors on either side of the sample proportion gives us an interval of 95% confidence.
This is due to the fact that two standard errors on either side of the sample proportion will cover around 95% of the population's cases.
We can typically determine the true proportion in the population using this range of two standard errors on either side of the sample proportion.
This is because it helps us identify any potential outliers in the population and provides a range of population proportions for which we may be 95% certain.
We are 95% certain that the true percentage is capable inside the interval if we stretch out two standard errors on either side of the sample proportion.
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The teacher is handing out note cards to her students. She gave 2 note cards to the first student, 6 note cards to the second student, 18 note cards to the third student, and 54 note cards to the fourth student. If this pattern continues, how many note cards will the teacher give to the fifth student?
Answer:
162 because if you multiply all of them by 4 you get the answer
The teacher will give 162 note cards to the fifth student.
Students = 1 2 3 4 5
Number of handing = 2 6 18 54 ?
out note cards
It is pattern of series, its ratio with preceding values remains equal.
Here,
First term(a) = 2
common ratio(r) = 3
Nth term = ar^(n-1)
5th term = 2 x 3^(5-1)
= 2 x 3^4
= 162
Thus, the teacher will give 162 note cards to the fifth student.
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