The given bar graph shows the number of years that each president served in office, and the presidents of the United States are represented by the width of the bar graph.
What is a bar graph?A bar graph is one way of representing data, The height of the bar graph represents relative frequencies and the width of the bar graph represents
it's class width or an interval.
The height given bar graph represents no. of years each president lasted
and the width of the bar graph represents the Presidents of the United States.
R-Republican lasted the most no.of years which is 18 years and U-Union lasted the least no of years which is one.
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In a math class, the teacher asked the students to find the approximate value of one of the x-coordinates of a point of intersection of two functions: f(x) = 2x2 − 3x + 4 g(x) = 5x − 1 Her students gave her different answers. Which answer is the most accurate?
A.
0.8
B.
0.9
C.
1.9
D.
1.1
Answer:
A. 0.8Step-by-step explanation:
An easy way is to substitute values into both equations and compare:
A. x = 0.8
f(x) = 2(0.8)² - 3(0.8) + 4 = 2.88g(x) = 5(0.8) - 1 = 3B. x = 0.9
f(x) = 2(0.9)² - 3(0.9) + 4 = 2.92g(x) = 5(0.9) - 1 = 3.5C. x = 1.9
f(x) = 2(1.9)² - 3(1.9) + 4 = 5.52g(x) = 5(1.9) - 1 = 8.5D. x = 1.1
f(x) = 2(1.1)² - 3(1.1) + 4 = 3.12g(x) = 5(1.1) - 1 = 4.5As we see the most accurate one is A
Let's graph both function(Attached)
Let's round 0.775
[tex]\\ \sf\longmapsto 0.775[/tex]
[tex]\\ \sf\longmapsto 0.77[/tex]
[tex]\\ \sf\longmapsto 0.8[/tex]
Option A is correct
A study was conducted that measured the total brain volume (TBV) (in) of patients that had
schizophrenia and patients that are considered normal. Table #9.3.5 contains the TBV of the normal
patients and table #9.3.6 contains the TBV of schizophrenia patients ("SOCR data oct2009." 2013). Is
there enough evidence to show that the patients with schizophrenia have less TBV on average than a
patient that is considered normal? Test at the 10% level.
Table #9.3.5: Total Brain Volume (in ) of Normal Patients
1663407 1583940 1299470 1535137 1431890 1578698
1453510 1650348 1288971 1366346 1326402 1503005
1474790 1317156 1441045 1463498 1650207 1523045
1441636 1432033 1420416 1480171
1360810 1410213
1574808 1502702 1203344 1319737 1688990 1292641
1512571 1635918
Table #9.3.6: Total Brain Volume (in) of Schizophrenia Patients
1331777 1487886 1066075 1297327 1499983 1861991
1368378 1476891 1443775 1337827 1658258 1588132
1690182 1569413 1177002 1387893 1483763 1688950
1563593 1317885 1420249 1363859 1238979 1286638
1325525 1588573 1476254 1648209 1354054 1354649
Using the t-distribution, it is found that since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a patient that is considered normal.
At the null hypothesis, we test if patients with schizophrenia do not have less TBV on average than a patient that is considered normal, that is, the subtraction is not negative, hence:
[tex]H_0: \mu_S - \mu_N \geq 0[/tex]
At the alternative hypothesis, we test if they have less, that is, if the subtraction is negative, hence:
[tex]H_1: \mu_S - \mu_N < 0[/tex]
Regarding each sample, the mean and standard deviation are found using a calculator.
[tex]\mu_N = 1463339.2, s_N = 125458.28 , n_N = 32[/tex]
[tex]\mu_S = 1445132.3, s_S = 171355.8, n_S = 30[/tex]
We have the standard deviation for each sample, hence, the t-distribution will be used.
The standard errors are given by:
[tex]Se_N = \frac{125458.28}{\sqrt{32}} = 22178.1[/tex]
[tex]Se_S = \frac{171355.8}{\sqrt{30}} = 31285.1[/tex]
The distribution of the difference has mean and standard error given by:
[tex]\overline{x} = \mu_S - \mu_N = 1445132.3 - 1463339.2 = -18206.9 [/tex]
[tex]Se = \sqrt{Se_N^2 + Se_S^2} = \sqrt{22178.1^2 + 31285.1^2} = 38348.7[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]
In which [tex]\mu[/tex] is the value tested at the hypothesis.
Hence:
[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]
[tex]t = \frac{-18206.9 - 0}{38348.7}[/tex]
[tex]t = -0.47[/tex]
The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.1 and 32 + 30 - 2 = 60 df is [tex]t^{\ast} = 2[/tex]
Since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a patient that is considered normal.
A similar problem is given at https://brainly.com/question/13873630
What is y, picture below
Answer:
100 Degrees is the value of y.
Step-by-step explanation:
ALL triangles add up to 180 degrees, and in this figure, 40 degrees is on two of the 3 angles so, 40+40=80, 180-80=100.
100 Degrees = y
Help help help help
Answer:
a = (3,6)
b = (9,-3)
c = (-12,-6)
Step-by-step explanation:
Multiply the values of the cordinates by the 3.
(1.2)
3,3
a = (3,6)
(3,-1)
3,3
b = (9,-3)
(-4,-2)
3,3
c = (-12,-6)
resolve this equation
The expression above can be resolved to become; (5a + b)³
According to the question:
We are required to determine resolve the expression as given in the question.To resolve the expression given;
We are required to multiply the polynomials as follows;(5a + b) (25a² + 10ab² + b²)= 125a³ + 50a²b² + 5ab² + 25a²b + 10ab³ + b³However; the expression above can be factorised to become;
(5a + b)³Upon expansion; (5a + b)³ yields the expression gotten earlier;
125a³ + 50a²b² + 5ab² + 25a²b + 10ab³ + b³Learn more about equation:
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Please help asap..
20 POINTS
THX
Answer:
B
Step-by-step explanation:
we know that the inverse function undoes the original function, there fore we get the answer as the second choice
Answer:
A is correct
Good Luck!!
By the way this is not my work
Answer:
Use unit converter.
Step-by-step explanation:
mary,jose and aldo served a total of 82 orders monday at school cafeteria. mary served 6 more orders than jose. Aldo served 2 times as many orders as mary. how many orders did they each serve?
Answer:
See down
Step-by-step explanation:
Mary served 22 orders, Jose served 16 orders and Aldo served 44 orders:
(Mary) 22 + (Jose) 16 + (Aldo) 44 = 82
Pls he’ll I’ll brainlest and add extra points
4
the other really do not make sense
Answer:
2
Step-by-step explanation:
what is 6/10 plus 4/10
Answer:
1
Explanation:
[tex] \frac{6}{10} + \frac{4}{10} [/tex]
By taking LCM
We get
[tex] \frac{6 + 4}{10} = \frac{10}{10} = 1[/tex]
Answer:
The answer is 10/10 or just 1.
Step-by-step explanation:
Write 34% as a fraction in simplest form
Answer:
The answer is that the simplest fraction form of 34% is 17/50
Step-by-step explanation:
Both the numerator and denominator of the fraction 34/100 can only be divided by 2, to satisfy creating its simplest form.
34% = 17/50
Have an awesome day! :D
Answer:
[tex]\frac{17}{50}[/tex]
Step-by-step explanation:
To write any fraction as a percent, remember perCENT means per 100. Think of 100 cents in a dollar. So 34 perCENT means 34 of 100, which you write as [tex]\frac{34}{100}[/tex].
Simplest form means to reduce, so you see if there is any number you can divide out of the top and the bottom.
[tex]\frac{34}{100}[/tex] = [tex]\frac{17*2}{50*2}[/tex]= [tex]\frac{17}{50}[/tex]
Which two triangles are congruent by the SAS Theorem?
Answer:
triangle ABC and triangle HFG, I know it is filled out as DCE, but I don't see any triangle DCE
Step-by-step explanation:
check the sides and the angles
left parenthesis negative 2 minus 4 right parenthesis plus left parenthesis 5 minus 10 right parenthesis minus 6 left parenthesis 3 right parenthesis
Answer:-29
Step-by-step explanation:
(-2-4)+(5-10)-6(3)
-6+-5-18
One number is six less than a second number. Twice the first is 12 more than 6 times the second. Find the numbers.
The value of the first number is
The value of the second number is
Answer:
Step-by-step explanation:
Let x be the first number
Let y be the second number
x = y - 6
2x = 12 + 6y
2(y - 6) = 12 + 6y
2y - 12 = 12 + 6y
-4y = 24
y = -6
x = -6 - 6 = -12
What is 11% of 96 students
Answer:
8.7
Step-by-step explanation:
8.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.7
If an item that originally cost $12 is increased to $16, what is the percentage of increase in the item?
[tex] \rightarrow [/tex] 12.5%
=================================================
Explanation/Solution:To solve, use the formula:
[tex] \rightarrow \: \rm Percent \: of \: Increase = \frac{Amount \: of \: Increase}{Original \: Amount} \\ [/tex]
Solve.
[tex] \rightarrow \: \rm = \frac{16 - 12}{12} [/tex] Amount of increase: 16 - 12 = 2
[tex] \rightarrow \: \rm = \frac{2}{16} [/tex] Simplify.
[tex] \rightarrow \: \rm = \frac{x}{100} = \frac{1}{8}[/tex] Write the fraction as a percent.
[tex] \rightarrow [/tex]8x = 100 Find the product of the extreme and the means.
[tex] \rightarrow \: \rm = \frac{8x}{8} = \frac{100}{8}[/tex] Divide both sides by 8.
[tex] \rightarrow [/tex]x = 12.5
Therefore, the percentage of increase in the item is 12.5%.
What is the answer to 14÷22 ?
Answer:
0.63636363636363636
Step-by-step explanation:
14/22
Answer:
7/11 or 0.6363636363... and so on in that pattern.
Step-by-step explanation:
Well 14/22 is an irrational decimal which is 0.6363636363... and it goes on forever, so to put it in simple terms you can write it as a fraction as 7/11. (Sorry for being vague).
I hope this answer helped you if it is wrong please let me know. Thank you!
How do I do this man
Answer:
D
Step-by-step explanation:
g(x)=[tex]-\sqrt[3]{x-1}[/tex]
A recipe for pasta dough says, “Use 150 grams of flour per large egg.”
How much flour is needed if 6 large eggs are used?
How many eggs are needed if 450 grams of flour are used?
Answer:
1. 900 grams
2. 3 eggs
Step-by-step explanation:
1. 150 x 6 = 900
2. 450 / 150 = 3
Answer:
900 grams of flour are needed if six eggs are used. 3 eggs are needed if 450 grams of flour are used.
Step-by-step explanation:
First, multiply the number of large eggs by grams per large egg: 150×6=900
Next, divide the number of grams of flour by grams per large egg: 450/150=3
Compute r, the correlation coefficient, using the following data.
Answer:
The r=.950
Step-by-step explanation:
Which name is a correct way to name the tiling?
Answer:
sowing, I'm not sure about the exact answer
Answer:
6^3
Step-by-step explanation:
Divide 2/3 by 1/5. Simplify your answer and write it as a mixed number.
Answer:
3.33
Step-by-step explanation:
3.33
mixed number= 3 1/3
Answer:
3 1/3
Step-by-step explanation:
[tex]\frac{\frac{2}{3}}{\frac{1}{5}}[/tex] =
[tex]\frac{2}{3} * \frac{5}{1} = \frac{10}{3}[/tex]
10/3 = 3 1/3
-Chetan K
A truck has a bed 6 ft long, 5 ft wide, and
3 ft deep. If it was filled /4 of the way with
dirt. What is the volume of dirt in the bed
of the truck?
Answer:
6*5=30
30*3=90
so if its filled 1/4 forth full
90*1/4=22.5
So the volume of the dirt is 22.5^2 feet of dirt
Hope This Helps!!!
Expand and simplify the following
√3 (√3 - 1)
√5 (√10 + √2)
Answer:
3 - [tex]\sqrt{3}[/tex]
10+[tex]\sqrt{10}[/tex]
Step-by-step explanation:
[tex]\sqrt{3}[/tex] ([tex]\sqrt{3}[/tex] - 1) → 3 - [tex]\sqrt{3}[/tex]
[tex]\sqrt{5}[/tex] ([tex]\sqrt{10}[/tex] + [tex]\sqrt{2}[/tex] ) → [tex]\sqrt{50}[/tex] + [tex]\sqrt{10}[/tex] → 2[tex]\sqrt{25}[/tex] + [tex]\sqrt{2}[/tex][tex]\sqrt{5}[/tex] → 2(5)+ [tex]\sqrt{10}[/tex] → 10+[tex]\sqrt{10}[/tex]
What is the midline of the function y=19cos(9x+3)+34 ?
plss help mee
The midline of the function is y = 34.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The midline of a periodic function is the horizontal line that divides the graph of the function into two equal parts.
For a cosine function of the form y = A cos(Bx - C) + D, the midline is given by the equation y = D.
In this case, the function is y = 19cos(9x+3)+34, so the midline is given by the constant term, which is D = 34.
Therefore,
The midline of the function is y = 34.
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I don’t know the answer for this
Answer:
I think it is probably -12
Step-by-step explanation:
What does x= in the equation, 7(x-5=x+13
Answer:
X equals 8.
Step-by-step explanation:
Firstly, you remove the parentheses
Secondly, you move the terms
Then you collect like terms and add the numbers
Lastly, you divide both sides which gives you 6 x = 48,
so your answer is 8.
Hope this helped.
Answer:
x = 8
Step-by-step explanation:
Calculating purely on the assumption the question is equal to 7(x - 5) = x + 13
7(x - 5) = x + 13
7x - 35 = x + 13 ⇒ expand brackets
7x - 35 + 35 = x + 13 + 35 ⇒ add 35 to both sides
7x = x + 48
7x - x = x + 48 - x ⇒ subtract x from both sides
6x = 48
[tex]\frac{6x}{6} = \frac{48}{6}[/tex] ⇒ divide both sides by 6
x = 8
Hope this helps!
What percent of 75 is 15? What percent of 15 is 75? What percent of 48 is 20? What percent of 88 is 88?
(1 point)
8. The ordered pairs (1, 2), (2, 4), (3, 8), (4,16), and (5,32) represent a function. What is a rule
that represents this function?
O y=x^2
O y=2x
O y=2^x
O y=x+2
9514 1404 393
Answer:
(c) y=2^x
Step-by-step explanation:
You can check each of the offered functions to see which one fits. It is often informative to check the last of the offered points.
5^2 ≠ 32
2×5 ≠ 32
2^5 = 32 . . . . . a good candidate
5 +2 ≠ 32
Only the third choice matches the given ordered pairs.
__
If you're trying to figure out the function, it is often useful to look at the differences between given values. The x-values differ by 1. The y-values differ by 2, 4, 8, 16. These are not constant, so the function is not linear (eliminates B and D). These differences don't have a common difference, so the function is not quadratic (eliminates A).
Both the y-values and their differences have a common ratio of 2, a strong indicator this is an exponential function with a base of 2 (matches C).
Marks brother is five years older than mark. Their combined ages add up to 23. How old is mark?
Answer:Mark would be 11
Step-by-step explanation: If we divide 23 and 2 because there's two people we would get 11.5. Now subtract 11.5 by 5 which is 11. Mark is 11 years old. Good luck!