Answer:couch
Step-by-step explanation:
Human body temperatures are normally distributed with a mean of 98.2oF and a standard deviation of 0.62oF. Find the temperature that separates the bottom 12% from the top 88%.
Answer:
The temperature that separates the bottom 12% from the top 88% is 97.5°F.
Step-by-step explanation:
We are given that human body temperatures are normally distributed with a mean of 98.2°F and a standard deviation of 0.62°F.
Let X = human body temperatures
So, X ~ Normal(\(\mu= 98.2,\sigma^{2} = 0.62^{2}\))
The z-score probability distribution for the normal distribution is given by;
Z = \(\frac{X-\mu}{\sigma}\) ~ N(0,1)
where, \(\mu\) = mean human body temperature = 98.2°F
\(\sigma\) = stnadard deviation = 0.62°F
Now, we have to find the temperature that separates the bottom 12% from the top 88%, that means;
P(X < x) = 0.12 {where x is the required temperature}
P( \(\frac{X-\mu}{\sigma}\) < \(\frac{x-98.2}{0.62}\) ) = 0.12
P(Z < \(\frac{x-98.2}{0.62}\) ) = 0.12
Now, the critical value of x that represents the bottom 12% of the area in the z table is given as -1.1835, that is;
\(\frac{x-98.2}{0.62} = -1.1835\)
\({x-98.2}= -1.1835\times 0.62\)
\(x = 98.2 -0.734\) = 97.5°F
Hence, the temperature that separates the bottom 12% from the top 88% is 97.5°F.
Please help. I’ll mark you as brainliest if correct!!!!!
\(x^2+14x+40=0\\x^2+14x+40+9-9=0\\x^2+14x+49=9\\(x+7)^2=9\\\\D=7\\E=9\)
Answer:
x^2+14x+40=0\\x^2+14x+40+9-9=0\\x^2+14x+49=9\\(x+7)^2=9\\\\D=7\\E=9
Step-by-step explanation:
Which pair of undefined terms is used to define the term parallel lines
PLZ HELP I cannot afford to fail this class
Answer:
x^8/3
Step-by-step explanation:
In triangle ABC, AB = 6, BC = 8, and angle ABC = 90 degrees. Find the area of triangle ABC.
Answer:
24
Step-by-step explanation:
The formula for area of any triangle is (length * width) * 1/2. This makes the angle of 90 degrees irrelevant.
6 x 8 = 48
48 / 2 = 24
4
(Graphing Proportional Relationships LC)
The table shows a proportional relationship.
x 12 8 24
y 3 26
Describe what the graph of the proportional relationship would look like.
O Aline passes through the point (0, 0) and continues through the point (3, 12).
O Aline passes through the point (0, 0) and continues through the point (2,8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).
Question 2(Multiple Choice Worth 2 points)
(Graphing Proportional Relationships MG)
The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)
For the first question:
The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.
The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.
Now, let's analyze the answer options:
A. A line passes through the point (0, 0) and continues through the point (3, 12).
This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.
B. A line passes through the point (0, 0) and continues through the point (2, 8).
This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).
C. A line passes through the point (0, 0) and continues through the point (6, 24).
This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.
D. A line passes through the point (0, 0) and continues through the point (12, 3).
This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).
Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.
For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?
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Katie selects a simple random sample of 25 students at her large school and finds that 5 of them are planning to try out for the soccer team next year. She wants to construct a confidence interval for p = the proportion of all students at her school who plan to try out for the soccer team next year, but she realizes she hasn’t met all the conditions for constructing the interval. Which condition for this procedure has she failed to meet?
n ≥ 30
n p hat greater-than-or-equal-to 10
n (1 minus p hat) greater-than-or-equal-to 10
The sample size must be less than 10% of the population size.
Answer:
C ??
Step-by-step explanation:
am I right?
n ≥ 30 is the condition for this procedure has she failed to meet
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Katie selects a simple random sample of 25 students at her large school and finds that 5 of them are planning to try out for the soccer team next year
p= the proportion of all students at her school who plan to try out for the soccer team next year
The condition that Katie has failed to meet is the first one, which states that the sample size should be large enough.
Specifically, the condition is that the sample size n should be greater than or equal to 30.
In this case, Katie only has a sample size of 25, which is less than 30.
This means that the sample may not be large enough to accurately estimate the population proportion and construct a reliable confidence interval.
Hence, n ≥ 30 is the condition for this procedure has she failed to meet
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what polynomial should be subtracted from 3x^2+4x-1 to get the difference equal to 0
Answer:
\( {x}^{2} + \frac{4}{3} x - \frac{1}{3} \)
can be subtracted
Select the graph that correctly represents f(x) = –(x + 1)^2 – 3.
Answer:
Hey there!
The third graph, with a maximum at (-1, -3) is the correct choice.
Let me know if this helps :)
Answer:
see below
Step-by-step explanation:
f(x) = –(x + 1)^2 – 3
We know that this is a parabola in the form
y = a( x-h)^2 +k
where ( h,k) is the vertex
y = -1( x- -1)^2 + -3
a is negative so the parabola opens downward
( -1,-3) is the vertex
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answer: B
Step-by-step explanation:
To find the answer, you add the two equations together
Answer:
A. x - 3
Step-by-step explanation:
Set it up like this:
(3x - 2) - (2x + 1)
Combine like terms:
3x - 2 - 2x - 1
3x - 2x = x
-2 - 1 = -3
Put it together:
x - 3
6.
(02.01 MC)
Pentagon ABCDE and pentagon A″B″C″D″E″ are shown on the coordinate plane below:
Pentagon ABCDE and pentagon A double prime B double prime C double prime D double prime E double prime on the coordinate plane with ordered pairs at A negative 4, 5, at B negative 6, 4, at C negative 5, 1, at D negative 2, 2, at E negative 2, 4, at A prime 4, negative 7, at B prime 2, negative 6, at C prime 3, negative 3, at D prime 6, negative 4, at E prime 6, negative 6.
Which two transformations are applied to pentagon ABCDE to create A″B″C″D″E″? (1 point)
Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x‒axis
Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the y-axis
Translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the y-axis
Translated according to the rule (x, y) → (x + 2, y + 8) and reflected across the x‒axis
Required two transformations are translated according to the rule (x, y) → (x + 8, y + 2) reflected across the x-axis.
How to find the two transformations applied to pentagon ABCDE to create A″B″C″D″E″?
To find the two transformations applied to pentagon ABCDE to create A″B″C″D″E″, we can compare the coordinates of corresponding vertices of both pentagons.
Starting with point A, we see that it has been translated 8 units to the right and 2 units up to become A″. Therefore, the first transformation is a translation according to the rule (x, y) → (x + 8, y + 2).
Next, we can compare the y-coordinates of point A and A″ to see if a reflection has been applied. We see that the y-coordinate of A has changed from 5 to -7 in A″, indicating that a reflection has been applied across the x-axis.
Therefore, the two transformations applied to pentagon ABCDE to create A″B″C″D″E″ are:
Translated according to the rule (x, y) → (x + 8, y + 2)
Reflected across the x-axis.
The other options can be ruled out as they do not correctly reflect the transformation that was applied.
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Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
The back of a shipping truck is 10.5 feet long, 8 feet wide, and 9 feet tall. A company plans to ship basketballs in these trucks. Each basketball package is a box that is shaped like a cube measuring 1.5 feet on each side. How many basketballs can the company pack into each truck? Show your work.
the company can pack 224 basketballs into each truck.
How to calculate the number of basketballs?To calculate the number of basketballs that can be packed into the truck
Number of basketballs = Volume of truck / Volume of each basketball package
first calculate the volume of the truck
The volume of the truck is:
Volume = Length x Width x Height
Volume = 10.5 ft x 8 ft x 9 ft
Volume = 756 cubic feet
The volume of each basketball package is:
Volume = Side x Side x Side
Volume = 1.5 ft x 1.5 ft x 1.5 ft
Volume = 3.375 cubic feet
Now, we can calculate the number of basketballs :
Number of basketballs = Volume of truck / Volume of each basketball package
Number of basketballs = 756 cubic feet / 3.375 cubic feet
Number of basketballs = 224
Therefore, the company can pack 224 basketballs into each truck.
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Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
Three dogs eat 30 pounds of food in 10 days. If each dog eats the same amount, how much food does 1 dog eat in 1 day? 1 pound 3 pounds 9 pounds 10 pounds
Answer:
Unable to read entire question, but see explanation for answer
Step-by-step explanation:
First, you need to find the unit rate per dog. If it takes 3 dogs 10 days to finish 30 pounds of food, then it takes 1 dog 1 day to finish 1 pound of food. I cannot read the entirety of the question because of the cropping, but you can find how much food a single dog eats in that amount of days by just multiplying by the number of days (say, 1 pound in 1 day, or 3 pounds in 3 days). Hope this helps!
Answer:
1
Step-by-step explanation:
took test
JoAnn is making jewelry. Set an expression that shows how much it will cost Joanne for the long length chain bracelet and for b beads that cost $0.30 each. Then find the total cost of the jewelry lol JoAnn uses 34 beads
Answer:
$0.30 x b
$10.20
Step-by-step explanation:
The equation is
$0.30 x b
Since we know JoAnn uses 34 beads, we can replace b with 34
$0.30 x 34 = $10.20
simplify the expresion (5÷5)+5×(5²- 5)
Answer: 101
Step-by-step explanation: 1+5x20 then 100+1= 101
A circle of radius 16 units is divided into 8 congruent slices.
What is the arc length of each slice?
4π units
3π units
2π units
π units
Answer:
4π
Step-by-step explanation:
Circumference = π X D (D = diameter = 2 X radius).
Diameter = 32.
Circumference = π (32) = 32π.
Divided into 8 slices = 1/8 of the circumference = 32π/8 = 4π.
cos 0 = . Find tan 0.
Answer:
b
Step-by-step explanation:
15/8
Calculate the five-number summary of the given data. Use the approximation method.
6, 5, 3, 3, 25, 22, 3, 23, 7, 3, 20, 19, 23, 18, 5
The five number summary is:
Minimum = 3
First quartile(Q1) =3
Median =7
Third quartile(Q3) = 22
Maximum = 25
What is five number summary?A five-number summary is especially useful in descriptive analyses or when investigating a large data set for the first time. A summary is made up of five values: the data set's most extreme values (the maximum and minimum values), the lower and upper quartiles, and the median.Given data, 6, 5, 3, 3, 25, 22, 3, 23, 7, 3, 20, 19, 23, 18, 5.
we have to arrange in ascending order ,
3, 3, 3, 3, 5, 5,6, 7, 18, 19, 20, 22, 23, 23, 25
Minimum value = 3
Maximum value = 25
since , number of data = 15
So , Median = middle term = 7
Median of first half = First quartile
here first half = { 3, 3, 3, 3, 5, 5, 6}
median of first half terms = 3 (middle term)
Q1 = 3
Third quartile = Median of second half terms
( 18, 19, 20, 22, 23, 23, 25)
median of second half terms = 22
Q3 = 22
Hence, the five-number summary for the given data set :
min = 3, Q1 =3, median =7 , Q3 = 22, max = 25 .
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Find the average value of the sum of the squares of three numbers x, y, z, where each number is between 0 and 2.
answer:
1
Step-by-step explanation:
#'s between zero and two = one
the only number between 0 and two is 1
x = 1 y = 1 z = 1
the average value of the sum of the squares of x, y and z = 1
1, 1, 1
the average is 1
follow the steps to construct a diagram:
1:create points A, B, and C in order on a horizontal line with a distance of four units between successive points.
2:draw Circle with center that passes through b, and two tangents to the circle passing through C.
3:locate the points of intersection of the tangents with the circle, and labeled them D and E.
4: draw the radii AD and AE to create central angel EAD.
Take a screenshot of your construction, and paste it below.
Answer:
a=3=8
Step-by-step explanation:
there is none
The construction forms a diagram consisting of a circle, two tangents, and a central angle EAD as shown in the attached figure.
Construction is a topic that requires drawing a required shape, line, and figure with constructing tools. The appropriate steps should be taken so as to complete the required figure.
In the given question, the circumference of the required circle passes through points A and C. And the radius of the circle with center B is 4 units so its diameter is 8 units. Then joining the points D and E to A, creates a central angle EAD.
Following the appropriate steps, the required diagram for the construction is as given in the attachment to this question.
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If a dog eats 1/4 pound of food each day, how many days will it take the dog to eat a 5 pound bag of food?
Answer:
20 days
Step-by-step explanation:
0.25 pound of food is eaten in 1 day
1 pound of food is eaten in 1 / 0.25
5 pound of food is eaten in 5/0.25 = 20 days
find the value of...
a. 91
b. 96
c. 94
d. 92
Step-by-step explanation:
its answer is 94 bro
I pray it will helful to you
17. Toby is riding his bicycle at 15 m/s. If it
takes him 60 seconds to get to the end of
the street. What was the length of the
street?
18.
met
him
Answer:
900 meters long
Step-by-step explanation:
Toby is riding his bicycle at 15 m/s. If it takes him 60 seconds to get to the end of the street. What was the length of the street?
at 15 meters per second for 60 seconds:
= time * speed
60* 15= 900 meters traveled,
so the street is 900 meters long.
if one card is drawn from a standard 52 card playing deck, determine the probability of getting a jack or a queen or a heart.
The probability of drawing a jack or a queen or a heart from a standard 52-card deck is 1/4.
Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
There are a total of 52 cards in a standard playing deck, and there are 4 jacks, 4 queens, and 13 hearts.
The probability of drawing a jack or a queen or a heart is equal to the sum of the probabilities of drawing each individual card type.
So, the desired probability is:
P(jack or queen or heart) = P(jack) + P(queen) + P(heart)
= 4/52 + 4/52 + 13/52
= 21/52
= 1/4
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In this problem, assume that the effect of friction can be discounted. (Remember to include the unit in the answer.)
Referring to the above diagram, how high will the ball rise on the right-hand incline?
The ball will rise 15 cm height on the right-hand incline when friction is discounted.
What is friction?The force preventing sliding against one another of solid surfaces, fluid layers, and material components is known as friction.
Given that,
The height of the ball = 15 cm
Since, the friction force is not counted here, this implies that there will be no friction force to stop the object.
The rise of the height on the right-hand incline will be same to the initial height.
Therefore, the ball will rise 15 cm height on the right-hand incline.
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please help me
evaluate each funtion for the given value
the problem is f (x) = -4x + 7; f (1)
Answer:Therefore, f(−1)=6.
Step-by-step explanation:
So, if f(x)=x+7 then f(−1)=(−1)+7
Therefore, f(−1)=6.
Answer:
primeroaend:epr )
Step-by-step explanation:
Consider the figure below were line PQ is parallel to line RS
Part A: Solve for a and justify your answer
Part B: Determine m<ABQ
Part C: Determine m<BCR
Plzzz HELP
Answer:
Step-by-step explanation:
A) Find the figure attached. According to the figure, since line PQ is parallel to line RS, then <CBQ = <DCS (corresponding angle)
Also <BCS + <DCS = 180° (sum of angles on a straight line)
Given
<BCS = (5a+14)° and <DCS = <CBQ =(2a-9)°
Substituting this values into the formula to calculate the value of a;
(5a+14)°+(2a-9)° = 180°
5a+2a+14-9 = 180
7a+5 = 180
7a = 180-5
7a = 175
a = 175/7
a = 25°
Hence the value of a is 25°
B) From the diagram <ABQ = <BCS = 5a+14 (corresponding angle)
Substitute a = 25 into the expression
<ABQ = 5(25)+14
<ABQ = 125+14
<ABQ = 139°
C) To get <BCR, we will use the formula;
<BCR + <BCS = 180
Given <ABQ = <BCS = 139°
<BCR = 180 - <BCS
<BCR = 180 - 139
<BCR = 41°
Answer:
Part A: 25
Part B: 139
Part C: 41
Step-by-step explanation:
5a+14+2a-9
a=25
5(25)+14
=139
2(25)-9
=41
If angle C is a right angle and angle A equals 50º, then prove that the measure of angle B equals 40º. Which of the following would be the first step to assume in order to prove the statement above by contradiction using an indirect proof?
The measure of angle B equals 40º.
Angle C is not a right angle.
The measure of angle A equals 50º.
Angle C is a right angle.
The measure of angle B does not equal 40º.
The first step would be to assume that "the measure of angle B does not equal 40º".
Which would be the first step to prove the contradiction using an indirect proof?The first step to assume in order to prove the statement above by contradiction using an indirect proof would be to assume the opposite of what you are trying to prove.
In this case, the opposite of the statement "the measure of angle B equals 40º" is "the measure of angle B does not equal 40º".
So, the first step would be to assume that "the measure of angle B does not equal 40º".
This assumption will be used to reach a contradiction, which will ultimately prove that the original statement is true.
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