Answer:
The mean and standard deviation of the corrected pH measurements are 6.63 and 3.8025 respectively.
Step-by-step explanation:
We can correct the values of the mean and standard deviation using the properties of the mean and the variance.
To the original value X we have to add 0.2 and multiply then by 1.3 to calculate the new and corrected value Y:
[tex]Y=1.3(X+0.2)[/tex]
The mean and standard deviation of the original value X are 4.9 and 1.5 respectively.
Then, we can apply the properties of the mean as:
[tex]E(Y)=E(1.3(X+0.2))=1.3E(X+0.2)=1.3E(X)+1.3*0.2\\\\E(Y)=1.3E(X)+0.26\\\\E(Y)=1.3*4.9+0.26=6.37+0.26=6.63[/tex]
For the standard deviation, we apply the properties of variance:
[tex]V(Y)=V(1.3(X+0.2))\\\\V(Y)=1.3^2\cdot V(X+0.2)\\\\V(Y)=1.69\cdot V(X)\\\\V(Y)=1.69\cdot 1.5^2=1.69\cdot 2.25=3.8025[/tex]
The properties that have been applied are:
[tex]1.\,E(aX)=aE(X)\\\\ 2.\,E(X+b)=E(X)+b\\\\3.\,V(aX)=a^2V(X)\\\\4.\,V(X+b)=V(X)+0[/tex]
Solve for x. Show or explain your work.
Then, verify that your solution is correct.
-15 = 2x + 1
Answer:
-8 = x
Step-by-step explanation:
-15 = 2x + 1
-1 - 1 Subtract 1 from both sides
-16 = 2x Divide both sides by 2
-8 = x
To make sure this answer is correct, plug it into the equation to see if it works.
-15 = 2(-8) + 1 Multiply
-15 = -16 + 1 Add
-15 = -15
What’s the correct answer for this?
Answer:
AP = 14
Step-by-step explanation:
According to secant-secant theorem
(CP)(PD)=(BP)(AP)
7×12=6×AP
AP = 84/6
AP = 14
PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)
Answer:
Rhombus
Step-by-step explanation:
Answer:
Step-by-step explanation:
rhombus
What’s the correct answer for this?
Answer:
36
Step-by-step explanation:
In circle with center O,
[tex] chord\overline {EF} \cong chord\overline {WV}... (Given) [/tex]
Since, congruent chords are equidistant from the center of the circle.
[tex] \therefore PG = GO\\
\therefore - x +10 = - 3(x+2)\\
\therefore - x + 10 = - 3x - 6\\
\therefore 3x - x = - 6-10\\
\therefore 2x = - 16\\\\
\therefore x = \frac{-16}{2} \\\\
\huge \red {\boxed {\therefore x = - 8}} \\\\
\because \overline {PO} = \overline {PG} + \overline {GO} \\
\therefore \overline {PO} = - x + 10 + \{-3(x + 2)\}\\
\therefore \overline {PO} = - x + 10 - 3x - 6\\
\therefore \overline {PO} = - 4x + 4 \\
\therefore \overline {PO} = - 4\times (-8)+ 4 \\
\therefore \overline {PO} =32+ 4 \\
\huge \orange {\boxed {\therefore \overline {PO} =36}} \\[/tex]
When a deposit of $1000 is made into an account paying 2% interest, compounded annually, the balance, $B, in the account after t years is given by B = 1000(1.02)t. Find the average rate of change in the balance over the interval t = 0 to t = 5. Give units and interpret your answer in terms of the balance in the account.
Answer:
The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.
Step-by-step explanation:
Given a function y, the average rate of change S of y=f(x) in an interval [tex](x_{s}, x_{f})[/tex] will be given by the following equation:
[tex]S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}[/tex]
In this problem, we have that:
[tex]B(t) = 1000(1.02)^{t}[/tex]
Find the average rate of change in the balance over the interval t = 0 to t = 5.
[tex]B(0) = 1000(1.02)^{0} = 1000[/tex]
[tex]B(5) = 1000(1.02)^{5} = 1104.08[/tex]
Then
[tex]S = \frac{1104.08 - 1000}{5-0} = 20.82[/tex]
The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.
To play the game you spin a spinner like the one shown you win if the arrow lands in one of the areas marked Win Lee played this game many times and recorded her results she won 11 times and lost 57 times use lee date to explain how to find the experimental probability of winning this game and to complete the explanation
Answer:
She played the game 11+57 = 68 times. She won 11 times. So the experimental probability of Lee winning is 11/68 = 0.1618 = 16.18%.
Step-by-step explanation:
To find the experimental probability of an outcome we divide:
The number of trials in which the desired outcome happened by the total number of trials.
In this question:
Experimental probability of winning this game.
She played the game 11+57 = 68 times. She won 11 times. So the experimental probability of Lee winning is 11/68 = 0.1618 = 16.18%.
Pls answer anyone out there pls pls pls
Answer:
See below.
Step-by-step explanation:
9.
Property of a rhombus:
In a rhombus, the diagonals are perpendicular.
The sum of the measures of the angles of a triangle is 180 deg.
Since the diagonals are perpendicular, the angles formed by the intersection of the diagonals are right angles and measure 90 deg.
m<ABD + m<CAB + 90 = 180
50 + m<CAB + 90 = 180
m<CAB + 140 = 180
(i) m<CAB = 40
The diagonals of a rhombus divide the rhombus into 4 congruent triangles.
Call the point of intersection of the diagonals E.
Triangles CEB and AEB are congruent.
m<BCA = m<DCA = 40
m<BCD = m<BCA + m<DCA = 40 + 40
(ii) m<BCD = 80
m<CDB = m<ADB = 50
m<ADC = m<CDB + m<ADB = 50 + 50
(iii) m<ADC = 100
10.
There are two angles labeled z. One is near point E and one is near point O. One of them probably is x.
Two angles measure 60 and 80. Add them to get 140.
z (near point O) and the 140 deg angle are a linear pair. their measures add to 180 deg.
z + 140 = 180
z = 40 (This is the z near point O.)
z (near point O) and 60 deg add to an interior angle of the parallelogram.
z + 60 = 40 + 60 = 100
The interior angle at vertex O measures 100 deg.
Adjacent interior angles of a parallelogram are supplementary.
100 + y = 180
y = 80
The two angles labeled z are alternate interior angles. Since the sides of a parallelogram are parallel, the two angles labeled z are congruent and measure 40 deg.
z = 40 (This is angle z near point E)
An epidemiologist found five cases of "big toe cancer" in the Yukon Territory. Because there were only a few cases, the epidemiologist decided to conduct a matched case-control study to determine whether shoe size larger than 9 is a risk factor for big toe cancer. Cases were individually matched to one control for daily activity, history of athlete’s foot, and history of ingrown toenails. The following data were gathered:
Shoe size > 9
Pair Case Control
1 Yes No
2 No No
3 No Yes
4 Yes Yes
5 No Yes
Compute the proper measure of association.
Interpret your results.
If you were to investigate a rare cancer in Lynchburg, where might you look for data?
What would be necessary legally and ethically to be able to utilize this data set(s)?
Submit your thread by 11:59 p.m. (ET) on Thursday of Module/Week 3, and submit your replies by 11:59 p.m. (ET) on Sunday of the same module/week.
Answer:
Step-by-step explanation:
Given that:
An epidemiologist found five cases of "big toe cancer" in the Yukon Territory.
Therefore, shoe size > 9
1) From the required data given below
Case Control Total
Yes 2(a) 3(b) 5
No 3(c) 2(d) 5
Total 5 5 10
∴ odds ratio = ad/bc
= 4/9
=0.444
2) From the less than 1.0 mean that the odds of cancer among case is lower than the odds of cancer among controls
Given the speeds of each runner below, determine who runs the fastest. \text{Noah runs 11 feet per second.} Noah runs 11 feet per second. \text{Katie runs 423 feet in 33 seconds.} Katie runs 423 feet in 33 seconds. \text{Jake runs 1 mile in 396 seconds.} Jake runs 1 mile in 396 seconds. \text{Liz runs 638 feet in 1 minute.} Liz runs 638 feet in 1 minute.
Answer:
Jake
Step-by-step explanation:
Noah: 11 feet per second
Katie: 423 feet / 33 seconds = 12.82 ft/sec (just divide the feet / seconds)
Jake:
1 mile = 5280 feet
Adam runs 5280ft / 396 seconds = 13.34 ft/sec
Liz:
1 minute = 60 second.
Liz runs 638 feet / 60 seconds = 10.63 ft / sec
From the above results we find that Jake runs the fastest
Solve the following absolute value equation for the unknown. Show all of your work for full credit. |-3h – 6| ≤ 3
Answer:
[tex]-3 \le h \le 1[/tex].
Step-by-step explanation:
Apply the property of absolute values: if [tex]a \ge 0[/tex], then [tex]|x| \le a \iff -a \le x \le a[/tex]. By this property, [tex]|- 3\, h - 6 | \le 3[/tex] is equivalent to [tex]-3 \le -3\, h - 6\le 3[/tex]. That's the same as saying that [tex]-3\, h - 6 \ge -3[/tex] and [tex]-3\, h - 6 \le 3[/tex].
Add [tex]6[/tex] to both sides of both inequalities:
[tex]-3\, h \ge 3[/tex] and [tex]-3\, h \le 9[/tex].
Divide both sides of both inequalities by [tex](-3)[/tex]. Note that because [tex]-3 < 0[/tex], dividing both sides of an equality by this number will flip the direction of the inequality sign.
[tex]-3\, h \ge 3[/tex] would become [tex]h \le -1[/tex].[tex]-3\, h \le 9[/tex] would become [tex]h \ge -3[/tex].Both inequalities are supposed to be true. Combining the two inequalities to obtain:
[tex]-3 \le h \le 1[/tex].
What is the measure of arc WXY
Answer:
152°
Step-by-step explanation:
Let P be any point on tangent [tex] \overleftrightarrow{YZ} [/tex] and WY is secant or chord of the [tex] \odot J[/tex] .
[tex] \therefore m\angle WYZ + m\angle WYP = 180°\\(Straight \: line \: \angle 's) \\
\therefore 104° + m\angle WYP = 180°\\
\therefore m\angle WYP = 180°- 104° \\
\red{\boxed {\bold {\therefore m\angle WYP = 76°}}} \\[/tex]
NOW, by tangent secant theorem:
[tex] m\angle WYP =\frac{1}{2}\times m(\widehat{WXY}) \\\\
76°=\frac{1}{2}\times m( \widehat{WXY}) \\\\
76°\times 2 =m( \widehat{WXY}) \\
\huge \purple {\boxed {\therefore m(\widehat{WXY}) = 152°}} [/tex]
Abcd is a trapozium what Is the the value of x of a is 110
Answer:
70°
Step-by-step explanation:
Since it's a trapezoid the sum of a and x would be 180°
110° + x = 180°
x = 70°
Find the gradient of the line segment between the points (8,6) and (10,14).
Answer:
4
Step-by-step explanation:
Gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]
Gradient of line segment
[tex] = \frac{14 - 6}{10 - 8} \\ = \frac{8}{2} \\ =4[/tex]
Pleaseeee Thank you!!!!!!!!!
Answer:
D.
Step-by-step explanation:
Let's solve each choice.
A: 3 divided by 90 is 3/90 and can be simplified to 1/30. So no.
B: 1/5 divided by 6. Recall that when dividing, you multiply the 1st term by the 2nd term's reciprocal. If you do this, you get 1/30. So no.
C: 1/6 divided by 5. Again, multiply 5's reciprocal to 1/6. There you get 1/30. So no.
D: 6 divided by 1/5. Again, multiply 1/5's reciprocal to 6. 1/5's reciprocal is 5. 5*6 = 30. So this is the correct answer.
Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). With H1 : p ≠ 3/5, the test statistic is z = 0.78.
1) With H1: p ≠ 3/5, the test statistic is z = 0.78.
A) 0.4354; fail to reject the null hypothesis
B) 0.4354; reject the null hypothesis
C) 0.2177 fail to reject the null hypothesis
D) 0.2177; reject the null hypothesis
2) The test statistic in a left-tailed test is z = -1.83.
A) 0.0336; reject the null hypothesis
B) 0.0672; fail to reject the null hypothesis
C) 0.9664; fail to reject the null hypothesis
D) 0.0672; reject the null hypothesis
3) The test statistic in a right-tailed test is z = 0.52.
A) 0.0195; reject the null hypothesis
B) 0.3015; reject the null hypothesis
C) 0.3015; fail to reject the null hypothesis
D) 0.6030; fail to reject the null hypothesis
Answer:
1) With H1: p ≠ 3/5, the test statistic is z = 0.78
The p value for this case would be given by:
[tex] p_v = 2*P(z>0.78)=0.4354[/tex]
Best option:
A) 0.4354; fail to reject the null hypothesis
2) The test statistic in a left-tailed test is z = -1.83
The p value for this case would be given by:
[tex] p_v = P(z<-1.83)=0.0336[/tex]
Best option:
A) 0.0336; reject the null hypothesis
3) The test statistic in a right-tailed test is z = 0.52.
The p value for this case would be given by:
[tex] p_v = P(z>0.52)=0.3015[/tex]
Best option:
C) 0.3015; fail to reject the null hypothesis
Step-by-step explanation:
The significance level for all the cases is the same [tex]\alpha=0.05[/tex]
Part 1
With H1: p ≠ 3/5, the test statistic is z = 0.78
The p value for this case would be given by:
[tex] p_v = 2*P(z>0.78)=0.4354[/tex]
Best option:
A) 0.4354; fail to reject the null hypothesis
Part 2
The test statistic in a left-tailed test is z = -1.83
The p value for this case would be given by:
[tex] p_v = P(z<-1.83)=0.0336[/tex]
Best option:
A) 0.0336; reject the null hypothesis
Part 3
The test statistic in a right-tailed test is z = 0.52.
The p value for this case would be given by:
[tex] p_v = P(z>0.52)=0.3015[/tex]
Best option:
C) 0.3015; fail to reject the null hypothesis
A MP3 Manufacturer claims that 65% of teenagers have their own MP3 player. A researcher wishes to test the claim and selects a random sample of 80 teenagers. She finds that 57 have their MP3 player. At a .05 significance level, should the claim be rejected? Please show work.
Answer:
Null hypothesis: H0 = 0.65
Alternative hypothesis: Ha ≠ 0.65
z = 1.172
P value = P(Z≠1.172) = 0.24
Decision we fail to reject the null hypothesis. That is, there is convincing evidence enough to reject the Null hypothesis.
Rule
If;
P-value > significance level --- accept Null hypothesis
P-value < significance level --- reject Null hypothesis
Z score > Z(at 95% confidence interval) ---- reject Null hypothesis
Z score < Z(at 95% confidence interval) ------ accept Null hypothesis
Step-by-step explanation:
Given;
n=80 represent the random sample taken
Null hypothesis: H0 = 0.65
Alternative hypothesis: Ha ≠ 0.65
Test statistic z score can be calculated with the formula below;
z = (p^−po)/√{po(1−po)/n}
Where,
z= Test statistics
n = Sample size = 80
po = Null hypothesized value = 0.65
p^ = Observed proportion = 57/80 = 0.7125
Substituting the values we have
z = (0.7125-0.65)/√(0.65(1-0.65)/80)
z = 1.17201807734
z = 1.172
To determine the p value (test statistic) at 0.05 significance level, using a two tailed hypothesis.
P value = P(Z≠1.172) = 0.241197 = 0.24
Since z at 0.05 significance level is between -1.96 and +1.96 and the z score for the test (z = 1.172) which falls within the region bounded by Z at 0.05 significance level. And also the one-tailed hypothesis P-value is 0.24 which is higher than 0.05. Then we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that at 5% significance level the null hypothesis is valid.
9. A pyramid has a height of 10 inches and a base with an area of 21 square inches.
Find the volume of the pyramid.
F210 in
G 105 in
H 70 in
J 35 in
Answer:
H 70 in³
Step-by-step explanation:
The volume of a pyramid is given by the formula ...
V = (1/3)Bh
V = (1/3)(21 in²)(10 in) = 70 in³
The volume of the pyramid is 70 cubic inches.
Answer:
[tex]= 70 {in}^{3}[/tex]
Third answer is correct.
Step-by-step explanation:
[tex]v = \frac{base \: \: \: area \times height}{3} \\ = \frac{21 \times 10}{3} \\ = 70 {in}^{3} [/tex]
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Explain what the difference between a tangent and a secant segment is?
Answer:
A tangent line touches a curve at one point and has the same slope as the curve at that point. A secant line intersects at 2 or more points and has a slope equal to the average rate of change between those points.
Answer:
A Tangent of a circle is found outside of the circle but touching 2 points of the circle on the outside. But a Secant is found inside the circle and it touches 2 points in the circle. A Chord can always be Secant, but a secant can not always be a chord because it may pass through the circle.
Step-by-step explanation:
a rectangle has an area of 54 square inches and a length of 6 inches. what is the width, in inches, of the rectangle?
Answer:
9 inches
Step-by-step explanation:
For similar problems like this, divide the area by the given length or width. In this case, your equation would be 54/6 = 9.
The width of the rectangle can be found as 9 inch.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
The area and length of rectangle are given as 54 inch² and 6 inches.
Suppose the width of the rectangle be x.
Since, the area of rectangle is given as the product of length and breadth, the following equation can be written as,
6x = 54
⇒ x = 54/6
⇒ x = 9
Hence, the width is given as 9 inch.
To know more about linear equation click on,
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Joe is a waiter of a local pizza parlor. He usually gets a tip from the tables he waits on. The bill for one table comes to $34. Write a formula that will help Joe determine how much of a tip he'll receive from that table.
Answer:
Step-by-step explanation:
I remember leaving a top of ten percent (15%)
lets convert 15% into a decimal
15%=0.15
Tip=0.15x, where x is the bill price
Tip=0.15*34
Tip=5.1
So he could get 5$ and 10 cents as a tip
Table of grams and ounces
A 2-column table with 5 rows. Column 1 is labeled Grams, x with entries 1, 2, 3, 4, 5. Column 2 is labeled Ounces, y with entries 0.035, 0.07, 0.105, 0.14, 0.175.
Choose the equation and description for the relationship given in the table.
Answer:
B) y = 0.035x. There are 0.035 ounces in every gram.Simplify the expression.
[tex]\frac{19}{3} +\frac{y}{2} + \frac{91}{13}[/tex]
Simplify the expression.
[tex]\frac{y}{2} +\frac{40}{3}[/tex]
Stan ran 4 7/10 miles , which was 1 3/10 fewer miles than Matt ran. For students wrote and solve the equation to find him the number of miles that Matt Ryan which student wrote and solve the equation correctly
Answer:
Matt ran 6 miles.
Step-by-step explanation:
Stan ran 4 and 7/10 miles, and this is 1 and 3/10 fewer miles than Matt.
this means that Matt ran the following amount of miles
4 and 7/|0 + 1 and 3/10 miles:
(4 + 1) + (7/10 + 3/10) = 5 + 10/10 = 6 miles.
This would be the correct way to solve this equation.
I’ve been stuck can someone explain
Answer:
Option (3)
Step-by-step explanation:
From the figure attached,
AB and CD are two chords intersecting at O.
m∠AOD = 37°
m∠AOC + m∠AOD = 180° [Since these angles are supplementary angles]
m∠AOC = 180° - 37°
= 143°
By the theorem of intersecting chords,
Measure of angle formed is the half of the sum of measures of the arcs intercepted by the angle and vertical angle.
m∠AOC = [tex]\frac{1}{2}(\widehat{AC}+\widehat{BD})[/tex]
143° = [tex]\frac{1}{2}[(x+5)+(x-5)][/tex]
143° = x
Therefore, Option (3) will be the answer.
The elephant is in danger of being completely wiped out. What sort of species is
an elephant?
a limiting species
O
an extinct species
a threatened species
an endangered species
Answer:
Endangered species
Step-by-step explanation:
An endangered species is a species that is at risk of extinction due to rapid decrease in their population .Their decrease in population might be due to loss of habitat and genetic variation. The loss of habitat might be due to natural factors like the climate change For example animals like dinosaurs during the cretaceous period that experience rapid change in the climate loss their habitat and went extinct.
Human activity can also influence loss of habitat. Development in housing , agriculture and industry can also threaten the habitats of native organisms. The loss of their habitat might cause sudden extinction of these organisms. They might find it hard to adapt to another environment or even procreate.
Generally, endangered species are species that are threatened by extinction. Elephants that are in danger of been wiped out is an endangered species.
The table shows the number of heartbeats in minutes for Shen and Adrian.
A 3-column table with 2 rows. Column 1 is labeled Person with entries Shen, Adrian. Column 2 is labeled Heartbeats with entries 192, 360, Column 3 is labeled Time (minutes) with entries 3, 5.
Which statements are true? Check all that apply.
Shen has a slower heart rate than Adrian.
Adrian has a slower heart rate than Shen.
Shen’s unit heart rate is 64 beats per minute.
Adrian’s unit heart rate is 72 beats per minute.
Adrian’s unit heart rate is 120 beats per minute.
Answer:
Shen has a slower heart rate than Adrian.
Shen’s unit heart rate is 64 beats per minute.
Adrian’s unit heart rate is 72 beats per minute.
through (8.-8) and has a slope of 3/4
Step-by-step explanation:
work is shown and pictured
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used
The box plot compares the monthly average temperature (in degrees Fahrenheit) recorded in the towns of Springwood and Meadows from April
to October Match each phrase to its correct value.
Meadows
Springwood
60
65
70
75
30
85
00
95
91
86
80
73
14
12
6
1
2
the median of the temperatures at Springwood
the median of the temperatures at Meadows
the interquartile range of the temperatures at Springwood
the interquartile range of the temperatures at Meadows
(ANSWER ASAP FOR 30 POINTS.)
Answer:
12
Step-by-step explanation:
A line has an equation of y = - 3x + 8. What is the y-intercept of the line? Please enter your answer as a coordinate (x, y). *
Answer:
(0, 8).
Step-by-step explanation:
The y intercept occurs when = 0, so we have the equation:
y = -3(0) + 8
y = 0 + 8
y = 8.
The answer is (0, 8).
A person must pay $ $ 8 to play a certain game at the casino. Each player has a probability of 0.21 of winning $ $ 14, for a net gain of $ $ 6 (the net gain is the amount won 14 minus the cost of playing 8). Each player has a probability of 0.79 of losing the game, for a net loss of $ $ 8 (the net loss is simply the cost of playing since nothing else is lost). What is the Expected Value for the player (that is, the mean of the probabiltiy distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer with two decimal places.
Answer:
-$5.06
Step-by-step explanation:
Given the probability distribution of X where X is the net gain or loss
[tex]\left|\begin{array}{c|c|c}Profit(X)&\$6&-\$8\\P(X)&0.21&0.79\end{array}\right|[/tex]
The expected value of X is defined as follows:
Expected Value of X, [tex]E(X)=\sum_{i=1}^nx_iP(x_i)[/tex]
Therefore, the expected value of the player
E(X)=(6*0.21)+(-8*0.79)
=1.26-6.32
[tex]E(X)=-\$5.06[/tex]
The expected value of each player at the casino is -$5.06.