Step-by-step explanation:
we need to find q. so we need to make q as a subject. so we need to bring the 19 to the right hand side to leave q alone. so the ÷19 will be × 19 so 5×19 and we will get the answer 95. That's the answer !
towards the end of the semester students are busy. of all of the gvsu students, a sample of 86 students was taken. study time per week at the beginning of the semester and study time at the end of the semester was recorded. the differences were then calculated end - beginning. a sample mean difference of 4.34 hours/week with a corresponding standard deviation of 1.24 hours per week were found. the p-value for this test is 5.69 space cross times space 10 to the power of negative 50 end exponent (to visualize the p-value, move the decimal 50 places to the left of 5.69).
For a sample of study time in beginning and ending of semester of gvsu students.
95% confidence interval is ( 4.078, 4.602 ) and Upper bound is 4.602 and Lower bound is 4.078..
We have given that,
Sample size, n = 86
Standard deviations, sd = 1.24
Samle mean, X-bar = 4.34
Formula for confidence interval is
X-bar +- Z (sd/√n)
where, Z ---> test statistic value
Also, we have 95% confidence interval
Using the Z-table , we can get the value of z-statistic for 95% of confidence interval is 1.96 ..
Plugging all known values in above formula.
Confidence interval is
4.34± 1.96(1.24/√86)
=> 4.34 ± 1.96(0.1337)
=> 4.34 ± 0.2620
Upper bound of confidence interval is
4.34 + 0.2620 = 4.602
Lower bound of confidence interval is
4.34 - 0.2620 = 4.078
Hence, the upper and lower bounds of confidence interval are 4.602 and 4.078 respectively.
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Complete question:
Towards the end of the semester students are busy. Of all of the GVSU students, a sample of 86 students was taken. Study time per week at the beginning of the semester and study time at the end of the semester was recorded. The differences were then calculated End - Beginning. A sample mean difference of 4.34 hours/week with a corresponding standard deviation of 1.24 hours per week were found. Calculate a 95% confidence interval. (Remember to go to the hundredths place for both the upper and lower bounds.) Upper bond=? and
Lower bond=
Which expressions are equivalent to (13x+2x−53x)−(−13x+5) ?
Select all correct expressions.
4x−5−3x
x−5
5−x
−4x+5+3x
Answer:A. The first one and second B.
Step-by-step explanation:i took the test i promise!
mark me as brainiest please!
Answer: A,B.
4x−5−3x
x−5
A student is taking a math course in which there will be four tests, each worth 100 points. The student has scores of 93, 92, and 92 on the first three tests. The student
must make a total of at least 360 in order to get an A. What scores on the last test will give the student an A?
Let s represents the score on the last test. Select the correct choice below and fill in the answer box to complete your choice.
(Simplify your answer. Type an integer or a decimal.)
O A. The solution set is {s Is
O B. The solution set is {s Is <
O C. The solution set is {s Is >
OD. The solution set is {s 15 )
Answer:C
Step-by-step explanation:
Hi, thank you so much, Which statement describes a Unit cube?
Answer:
the last one
Step-by-step explanation:
The product of 4x and 0 is:
a- 4x
b- 4
c- 0
d- none of these
Corey had 13 out of 15 answers correct on his math test.
He had 17 out of 20 answers correct on his language test.
On which test did Corey have a better score?
Answer:
Corey have a better score on his math test
Step-by-step explanation:
13/15 = 86%
17/20 = 85%
turn the scores into percentage and you will get the answer
For each part, compare distributions (1) and (2) based on their medians and IQRs. You do not need to calculate these statistics; simply state how the medians and IQRs compare. Make sure to explain your reasoning.
a. (1) 3, 5, 6, 7, 9 (2) 3, 5, 6, 7, 20
b. (1) 3, 5, 6, 7, 9 (2) 3, 5, 7, 8, 9
c. (1) 1, 2, 3, 4, 5 (2) 6, 7, 8, 9, 10
d. (1) 0, 10, 50, 60, 100 (2) 0, 100, 500, 600, 1000
The medians and IQRs of two distributions can be compared to determine how the distributions differ. If the medians and IQRs are the same, the distributions are similar. If the medians and IQRs are different, the distributions are not the same.
a. The medians and IQRs of distributions (1) and (2) are the same; both have a median of 6 and an IQR of 4.
b. The medians and IQRs of distributions (1) and (2) are the same; both have a median of 6 and an IQR of 2.c. The medians and IQRs of distributions (1) and (2) are different; distribution (1) has a median of 3 and an IQR of 2, while distribution (2) has a median of 8 and an IQR of 2.
d. The medians and IQRs of distributions (1) and (2) are different; distribution (1) has a median of 50 and an IQR of 50, while distribution (2) has a median of 500 and an IQR of 400.
The median IQRs of two distributions can be compared to determine how the distributions differ. If the medians and IQRs are the same, the distributions are similar. If the medians and IQRs are different, the distributions are not the same.
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please help with this problem!!
Answer:
12 cups
Step-by-step explanation:
The ratio he uses is
2 parts strong coffee
3 parts milk
Let's say he makes a recipe exactly like the amounts of the ratio.
2 cups strong coffee
3 cups milk
Total: 2 cups + 3 cups = 5 cups
He wants to make 30 cups, so 5 cups is not enough.
Let's double the amounts of the recipe keeping the same ratio of 2 to 3.
2 × 2 = 4 cups strong coffee
3 × 2 = 6 cups milk
Total: 4 cups + 6 cups = 10 cups
He wants to make 30 cups, so 10 cups is not enough.
We can keep on going up by multiplying the numbers in the ratio by larger numbers, but there is a quicker way.
We need to multiply both numbers in the ratio by a number, let's call it x, so that when both numbers in the ratio are multiplled by x, and the ingredients are added, we end up with 30 cups.
Multiply both numbers in the ratio by x.
2x cups of strong coffee
3x cups of milk
Now add: the total amount will be 5x cups
We want 30 cups, so
5x = 30
Solve for x.
x = 30/5 = 6
x, the multiplier we need is 6.
2x cups strong coffee = 2(6) cups = 12 cups
3x cups milk = 3(6) cups = 18 cups
Answer: 12 cups
The student council is selling popsicles to raise money for prom. Each box contains 10
popsicles and each box costs $4.50. How much does the school need to charge per
popsicle to make a profit of $6 per box?
Answer:
1.05 dollars per popsicle
Step-by-step explanation:
x is the price per popsicle. In order for you to make 6 dollars of profit, each box is going to cost 10.50 dollars because 4.50 is your amount of expenses.
Profie= revenue-expenses
6= revenue-4.5
revenue=10.5
If you charge 10.5 per box, and each box has 10 popsicles, then one popsicle is 10.5/10=1.05 dollars per popsicle.
Help me!
“Average cost of a dozen oranges was $1.72 in October 2020 and $5.59 in October 2021. What is the percent increase in the average cost of a dozen oranges from October 2020 to 2021?”
Answer:
The percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 225%.
Step-by-step explanation:
To find the percent increase in the average cost of a dozen oranges from October 2020 to 2021, we need to first calculate the difference in the average cost and then divide it by the original average cost, and finally multiply by 100 to get the percentage increase.
The difference in the average cost of a dozen oranges between October 2020 and October 2021 is:
$5.59 - $1.72 = $3.87
To calculate the percent increase, we need to divide the difference by the original average cost and multiply by 100:
Percent increase = (difference/original average cost) x 100
Percent increase = ($3.87/$1.72) x 100
Percent increase = 224.41%
Therefore, the percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 224.41%.
Step by step (for more help understanding):
The problem states that the average cost of a dozen oranges was $1.72 in October 2020 and $5.59 in October 2021. We need to find the percent increase in the average cost from October 2020 to October 2021.
Step 1: Find the difference in the average cost
To find the difference in the average cost, we subtract the original average cost from the new average cost.
$5.59 - $1.72 = $3.87
This means that the average cost of a dozen oranges increased by $3.87 from October 2020 to October 2021.
Step 2: Find the ratio of the difference to the original cost
To find the percentage increase, we need to express the difference as a percentage of the original cost. We do this by dividing the difference by the original cost.
$3.87 / $1.72 = 2.25
This means that the new average cost is 2.25 times the original average cost.
Step 3: Convert the ratio to a percentage
To convert the ratio to a percentage, we multiply it by 100.
2.25 x 100 = 225%
Step 4: Round the percentage to one or two decimal places
Finally, we round the percentage to one or two decimal places, depending on the level of accuracy required.
The percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 225%.
Hope this helps, If not I'm sorry. If you need more help, ask me! :]
My math teacher randomly assigned this but it’s something far outta my range, I need some help!!!!!
If d=26 then r = d/2 = 13
...........................................
what is the measure of angle m?
Answer:
The answer is 55.
m=55
Step-by-step explanation:
we know that a straight line is 180
We know that m+125 is a straight line.
This means that we will subtract 125 from 180
When you do that, you get 55.
We can check our answer by doing 125+55
That will get you 180.
Questions on the pic! Please help
In the graphs given, none of them showed and signs of proportionality using the equation y = kx as k represents the constant of proportionality
Proportional RelationshipProportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
In the chores graph, it is a straight line graph that can be represented by
y = kx
k = constant of proportionalityThe graph does not represent a proportional relationship as there's no proportionality existing.
In the graph of movie rentals, we can as well do the same to the previous graph which shows no proportional relationship existing between the two variables.
In the graph of balloon and cost of rentals, they both showed no signs of proportionality between the variables.
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can somebody please help me with this. 3x + 4(x+20)
Answer:7x + 80
Step-by-step explanation :simplify the expression
Maggie's monthly maintenance fee is m dollars, of which 27% is tax deductible for property tax purposes. Express the annual property tax deduction algebraically.
The annual property tax deduction can be expressed algebraically as 3.24m
How to determine the annual property tax deduction algebraically.From the question, we have the following parameters that can be used in our computation:
Tax deductible = 27%
To express the annual property tax deduction algebraically, we first need to determine the amount of the monthly maintenance fee that is tax deductible.
We know that 27% of the monthly maintenance fee is tax deductible, so we can write:
0.27m
This is the amount of tax deductible expense for one month.
To find the tax deductible expense for one year, we simply multiply by 12:
12 * 0.27m = 3.24m
So the annual property tax deduction is 3.24m
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Find the range of the following data: 181, 191, 171, 111, 121, 131, 141, 151, 161
Answer:
The range is 80.
Step-by-step explanation:
You just find the biggest and the smallest number and find the difference between the biggest and the smallest number. In this case, 191-111 is 80.
given f''(x)=4x-2 and f'(-1)=0 and f(-1)=4
find f'(x)=
find f(4)=
what have the same solution as 3x - 12 = 24
Answer: 12
add 12 to the left side to cancel out the -12 then add 12 to 24 to get 36, then divide 3x from 36 to get 12 (x=12)
35 POINTS!!!
What is the measurement angle of angle C and D in the image
Answer:
c = 45 and e = 30
Step-by-step explanation:
Since we know that A = 45, B = 90, we can calculate C knowing that the total angle of a triangle is 180, so you do 180-45-90 = 45
Finding the angle C helps us find F by subtracting 45 from 180, since a straight line is 180 degrees, which is 135.
We know that E = 15, and what was said earlier about how the toal angle is 180 in a triangle, we can subtract 15 and 135 from 180, which is 30.
Hope that answers your question
Urgent!! Math help!! What’s the answer?
Answer:
Shift cos 0.9272
Gives 21.99 degrees near to 22
The perimeter of any rectangle in which the length is 4 more than twice the width is P = 6 w + 8 , where w is the width. Which formula can be used to find the width given the perimeter? Multiple choice question. cross out A) w = P − 4 3 cross out B) w = 1 6 P − 8 cross out C) w = − P + 8 6 cross out D) w = P − 8 6
Answer: option D
Step-by-step explanation:
Given equation:
P = 6 w + 8 [eq1]
l=2w+4 [where l is length]
using eq1 we have:
6w=P-8
w=(P-8)/6
hence option D
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Use the expression below to complete the following tasks.
(3a2 - 5ab + b2) - (-3a2 + 2b2 + 8ab)
What is the additive inverse of the polynomial being subtracted?After you rewrite subtraction as addition of the additive inverse, how can the like terms be grouped?
With additive inverse and by grouping like terms the simplified form of the expression is 6a²-13ab-b².
The given expression is 3a²-5ab+b²-(-3a²+2b²+8ab).
Here,
3a²-5ab+b²+3a²-2b²-8ab
Group like terms, that is
(3a²+3a²)+(-5ab-8ab)+(b²-2b²)
= 6a²-13ab-b²
Therefore, with additive inverse and by grouping like terms the simplified form of the expression is 6a²-13ab-b².
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Find a . the mean ; b . the deviation from the mean for each data item ; and c . the sum of the deviations in part ( b ) for the following group of data items . 155 , 156 , 162 , 164 , 168
(a) The mean of the data item from the group data is 161.
(b) The deviation from the mean for each data is -6,-5,1,3 and 7. respectively.
(c) The sum of the deviation is 0
What is a group data?Grouped data are data formed by aggregating individual observations of a variable into groups, so that a frequency distribution of these groups serves as a convenient means of summarizing or analyzing the data.
(a) To find the mean of the data, we use the formula below.
Formula:
M = ∑x/n.......... Equation 1Where:
M = Mean = ?∑x = Sum of each data = 155+156+162+164+168 = 805n = Total number of data item = 5Substitute these values into equation 1
M = 805/5M = 161(b) To calculate the deviation from the mean (M') for each of the data item we use the formula below.
M' = x-M
For data 115,
M' = 155-161 = -6For data 156,
M' = -5For data 162,
M' = 162-161 = 1For data 164,
M' = 164-161M' = 3For data 168,
M' = 168-161M' = 7(c) The sum of the deviation is
∑M' = -6+(-5)+1+3+7∑M' = 0Hence, the mean, the diaviation from the mean is -6,-5,1,3 and 7 and the sum of the deviation of the data is 161 and 0 respectively,
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The average rate of growth for human hair is about 0.3 millimeters per day. How many days will it take a hair that is 12 millimeters long to grow to be 16.5 millimeters?
It will take 15 days for the hair to grow from 12mm to 16.5mm
What do you mean by average rate?By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.
Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):
16.5mm - 12mm = 4.5mm
Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:
4.5mm ÷ 0.3mm/day = 15 days
Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.
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You can use the notation P(A), read “the probability of event B, given event A” to write a
A. Probability distribution
B. Frequency table
C. Conditional probability
D. Cumulative probability
You can use the notation P(A), read “the probability of event B, given event A” to write a conditional probability. The correct answer is C.
Conditional probability refers to the probability of one event occurring given that another event has already occurred. In this case, we are interested in the probability of event B occurring given that event A has already occurred, and we can represent this using the notation P(B|A), where '|' means 'given'.
For example, let's say we are interested in the probability of getting a head on a coin toss (event B), given that the coin was flipped and landed on heads (event A). We could represent this using the notation P(B|A). The value of P(B|A) would be 1, because if the coin already landed on heads, then the probability of getting a head on the next flip is certain.
Conditional probability is an important concept in probability theory and is often used in real-world applications, such as predicting the likelihood of a disease given certain symptoms, or the probability of an event occurring given certain conditions.
The correct answer is C.
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Anota una magnitud vectorial y explica tu respuesta
A physical quantity with both magnitude and direction is called a vector quantity.
A vector quantity is a physical quantity that has both magnitude and direction. One example of a vector quantity is velocity, which is defined as the rate of change of an object's position with respect to time. Velocity is a vector quantity because it has both a magnitude (speed) and a direction (the object's motion). For instance, if an object is moving with a speed of 20 meters per second to the north, its velocity would be 20 meters per second north. If the object's direction changes to east, its velocity would become 20 meters per second east. Therefore, velocity is a vector quantity because its value depends not only on the speed of the object but also on the direction in which it is moving.
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Complete Question
Write down a vector quantity and explain your response.
A large cargo ship dropped anchor in the ocean. The anchor was released at a constant rate rate of speed from a height of 44 meters
Answer:
C and E
Step-by-step explanation:
The change in elevation was 44 + 20 = 64 m
the rate of fall was 64 m / 32 s = 2 m/s
The anchor reached the surface in 44 / 2 = 22 s so C is valid
E is correct as the ocean surface is origin and Up is the positive direction.
The anchor starts at 44 m above the surface and position is lower by 2 meters every second
From the question, the two correct options about the speed with which the anchor was released are:
Option COption EHow to solve for the solutionFirst we have to calculate the change that occurred in the elevation. Initially it was 44 meters but dropped 20 m below water.
44 + 20 = 64 meters
Next we calculate the rate with which the fall occurred
The time with which it fell was 32 seconds. = 64/32 = 2 meters pers second
44/2 = 22 hence it can be concluded that C is right.
Option E is also correct given that the water surface is above the ground and it is positive
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And please tell me how you did it
The unknown angle in the cyclic quadrilateral is as follows:
m∠CML = 109 degrees
How to find an angle in a cyclic quadrilateral?A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle.
The sum of angles in a cyclic quadrilateral is 360 degrees.
Therefore, let's find m∠CML as follows:
Using the arc angle and opposite angle of a quadrilateral theorem,
6x + 25 = 1 / 2 (7x + 14 + 106)
6x + 25 = 1 / 2(7x + 120)
6x + 25 = 7 / 2 x + 60
6x - 7 / 2 x = 60 - 25
6x - 3.5x = 35
2.5x = 35
divide both sides by 2.5
x = 35 / 2.5
x = 14
Therefore,
m∠CML = 6x + 25 = 6(14) + 25 = 84 + 25 = 109 degrees
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QUESTION TWO Determine whether or not a constant function can be
(a)one-to-one.
(b)an onto function. [10 marks]
=========================================================
Explanation:
The graph of any constant function is a horizontal flat line. The output is the same regardless of whatever input you select. Recall that a one-to-one function must pass the horizontal line test. Horizontal lines themselves fail this test. So this is sufficient to show we don't have a one-to-one function here.
Put another way: Let f(x) be a constant function. Let's say its output is 5. So f(x) = 5 no matter what you pick for x. We can then show that f(a) = f(b) = 5 where a,b are different values. This criteria is enough to show that f(x) is not one-to-one. A one-to-one function must have f(a) = f(b) lead directly to a = b. We cannot have a,b as different values.
----------------------------
The term "onto" in math, specifically when it concerns functions, refers to the idea of the entire range being accessible. If the range is the set of all real numbers, then we consider the function be onto. There's a bit more nuance, but this is the general idea.
With constant functions, we can only reach one output value (in that example above, it was the output 5). We fall very short of the goal of reaching all real numbers in the range. Therefore, this constant function and any constant function can never be onto.
the price of apples at three different stores is shown below. Store R sells apples for $1.20 per pound. Store S sells 4 pounds of apples for $5.00. Store T sells 3 pounds of apples for $3.48.
which of these is a true statemnt
Store R sells apples at the lowest rate
Store T sells apples at the lowest rate
Store s charges a lower rate than Store T
Store t charges the same rate as Store R
Store T sells apples at the lowest rate
Step-by-step explanation:
1st We need to make every statement in order of 1 pound. Then We will easily find the lowest rate of apple.
i) R sell 1.20 $ per pound.
ii) S sell 4 pounds for 5$
i.e S sell 1 pound for 5/4 = 1.25$
iii) T sell 3 pound for 3.48$
i.e T sell 1 pound for 3.48/3 = 1.16$
Analysing the above data I get,
Store T sells apples at the lowest rate