Answer:
19.74% of temperatures are between 12.9°C and 14.9°C
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 16.3, \sigma = 2[/tex]
What proportion of temperatures are between 12.9°C and 14.9°C?
This is the pvalue of Z when X = 14.9 subtracted by the pvalue of Z when X = 12.9.
X = 14.9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{14.9 - 16.3}{2}[/tex]
[tex]Z = -0.7[/tex]
[tex]Z = -0.7[/tex] has a pvalue of 0.2420
X = 12.9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{12.9 - 16.3}{2}[/tex]
[tex]Z = -1.7[/tex]
[tex]Z = -1.7[/tex] has a pvalue of 0.0446
0.2420 - 0.0446 = 0.1974
19.74% of temperatures are between 12.9°C and 14.9°C
Suppose that a list of nine items, (r(l),r(2),...,r(9)), is sorted by key in decending order so that r(3).key = 12 and r(4).key = 10. List the executions of the BinarySearch algorithms that would be needed to complete BinarySearch(1,9) when:________.
(a) The search key is C = 12
(b) The search key is C = 11
Find the given attachments
To qualify for the postcard rate for postage, a postcard must be less than 4 inches high. Elayne has a postcard that is 4 inches high. How much is her postcard over the height limit?
Answer:
It's 1 inch higher than the limit
Step-by-step explanation:
Answer:
1 1/2
Step-by-step explanation:
Angle A is circumscribed about circle O. What is the measure of A.
Answer:
88
Step-by-step explanation:
Sum of angles in a quadrilateral= 360 degrees
<OCA=90degrees [ tangent perpendicular to the circle.
<OBA= 90degrees =tangent perpendicular
to the circle
<OCA + <OBA +92 + <OAB= 360
90 + 90 + 92 + <OAB = 360
272 + < OAB = 360
<0AB= 360- 272 =88 degrees
Answer: 88
Step-by-step explanation: Khan Academy
The surface area of the cushion in square inches
Answer:
The answer is 1,787.75 square inches
Step-by-step explanation:
Answer:
1,787.75
Step-by-step explanation:
What is 8 to the power of 2
Answer:
64
Step-by-step explanation:
[tex] {8}^{2} = 8 \times 8 = 64[/tex]
House A is twice as tall as house B. How tall is house B.
Answer:
12ft
Step-by-step explanation:
house A = 2*house B
24 = 2*b
24/2 = 12
Answer:
house B is 12 because 24 divided by two is 12
Round 55 to the nearest tenth and then divide the number by 2
Answer:
30
Step-by-step explanation:
55 rounded to the nearest ten is 60
60/2=30
Answer:
30
Step-by-step explanation:
55 is closer to 60 than 40. And you divide 60 by 2 you get 30.
Given f(x) = 2x² + 8x - 4 and g(x) = 5x +6, find 3f(x) – 2g(x).
Step-by-step explanation:
When the problem says 3f(x), it means that you are multiplying f(x) by 3. The same goes for 2g(x).
[tex]3(2x^2+8x-4)= 6x^2+24x-12[/tex]
[tex]2(5x+6) = 10x+12[/tex]
Now, we subtract f(x) from g(x) after being multiplied.
[tex](6x^2+24x-12)-(10x+12)[/tex]
[tex]6x^2+14x-24[/tex]
how much is nine plus ten I forgot
9+10= ?
Answer: the answer is 19
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
please help me w this question — pls show work
Answer:
B. 129.7°
Step-by-step explanation:
The law of sines tells you ...
sin(C)/c = sin(A)/a
sin(C) = (c/a)sin(A)
C = arcsin((c/a)sin(A)) = arcsin(117/57·sin(22°)) = 50.3°
The value shown is the result of using the arcsin function, but we know that the supplement of this angle has the same sine value. Then, we could have ...
C = 180° -50.3° = 129.7°
The figure shows C as an obtuse angle, so we choose this latter value as the appropriate answer to this question.
C = 129.7° . . . . . matches choice B
_____
Comment on the answer
We note that choice C (50.3°) matches the result of straightforward use of the law of sines. This triangle actually has two solutions for angle C, as we have noted above. Often, figures are "not to scale," so the appearance of angle C as an obtuse angle cannot always be taken at face value. Here, because both choices for angle C are offered, we use the appearance of the figure to help decide the right one.
Why is this a parallelogram?
Answer:
b both pairs of opposite sides are parallel
Answer:
B or the second choice from the top
Step-by-step explanation:
The definition of a parallelogram, in my own words, is a quadrilateral with two pairs of opposite parallel sides (hence the name). Therefore, the second choice from the top is correct. Hope this helps!
Throughout his photography career, Paul has photographed 200 adult elephants in the wild. If each elephant weighed approximately 1.4 x 104 pounds, find the combined weight of all 200 elephants expressed in scientific notation.
Answer:
[tex] (200*1.4) *10^4[/tex]
And we got:
[tex] 280 x10^4[/tex]
And if we move the decimal point two units to the left we got:
[tex] 2.8 x10^6[/tex]
Step-by-step explanation:
We know that each elefeant weight about [tex]1.4 x10^4[/tex]
And we have a total of 200 elephants so then we can find the total weights for the elephants with this formula:
[tex] 200 *1.4*10^4[/tex]
Using the properties of multiplication we can do this:
[tex] (200*1.4) *10^4[/tex]
And we got:
[tex] 280 x10^4[/tex]
And if we move the decimal point two units to the left we got:
[tex] 2.8 x10^6[/tex]
Simplify the expression (–2a) (-7a^4). Please show steps
Answer:
(2•7a5)
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
-2a • (0 - 7a4)
Step 2 :
Multiplying exponential expressions :
2.1 a1 multiplied by a4 = a(1 + 4) = a5
Please answer the following attachment down below.
I would greatly appreciate it if you did.
Answer:
34.63
Step-by-step explanation:
A=a2+2aa2
4+h2=32+2·3·32
4+42≈34.63201
A statistics student wants to examine if there is a difference in the commute times for students and faculty at her community college. She collected data from a random sample of 10 faculty and 10 students. The commute times (in minutes) are given below.
Faculty 5 12 12 15 12 22 25 30 35 45
Students 10 12 14 15 15 20 22 24 25 30
Determine and enter the five-number summary for the commute times (in minutes) of the two samples. Include all calculations in your answer, round to two decimal places.
Answer:
Step-by-step explanation:
To find the five-number summary for the commute times (in minutes) of the two samples, we would determine the lowest, highest, first quartile, median and third quartile for each set of values.
1) Considering the data for faculty, arranging in ascending order, it becomes
5 12 12 12 15 22 25 30 35 45
Minimum = 5
Maximum = 45
Median = (15 + 22)/2 = 18.5
Placing the median in the data, it becomes
5 12 12 12 15 18.5 22 25 30 35 45
The median divides the data into the lower and upper halves
First quartile is the 25% mark. It is also the middle of the lower halve. Therefore,
First quartile = 12
Third quartile is the 75% mark. It is also the middle of the upper halve. Therefore,
Third quartile = 30
2) Considering the data for students, arranging in ascending order, it becomes
10 12 14 15 15 20 22 24 25 30
Minimum = 10
Maximum = 30
Median = (15 + 20)/2 = 17.5
Placing the median in the data, it becomes
10 12 14 15 15 17.5 20 22 24 25 30
The median divides the data into the lower and upper halves
First quartile is the 25% mark. It is also the middle of the lower halve. Therefore,
First quartile = 14
Third quartile is the 75% mark. It is also the middle of the upper halve. Therefore,
Third quartile = 24
The quotient of 8 times a number and 6 is -2. What is the number?
Answer:
-3/2
Step-by-step explanation:
8n/6 = -2 . . . the quotient of 8 times a number and 6 is -2
n = -12/8 = -3/2 . . . . multiply by 6/8
The number is -3/2.
One approach to active learning is a "flipped classroom." This commonly involves students watching video lectures outside of class and working on problem solving activities in class. Research has primarily focused on comparing teaching approaches using end-of-class outcomes, such as final grades. In a recent project, researchers compared the lasting benefits of a flipped classroom by comparing grades received in the subsequent course of the series. Here are the results:
Groups n I s
Flipped 166 2.45 1.09
Traditional 129 1.59 1.20
Assume the population variances are equal.
Do the average grades received differ across the two delivery styles of the previous course? Use a=0.01.
Answer:
Yes, they differ across the two delivery styles of the previous course.
Step-by-step explanation:
So, we are given the following data or information or parameters from the question above;
Flipped(group) => 166(n) 2.45(l) 1.09(s).
Traditional(group) => 129(n) 1.59(l) 1.20(s).
Therefore, the hypothesis is given below as; Jo : b1 = b2, Jx : b1 ≠ b2.
Recall that we are given; 166 = (n1), 2.45 = (l1), 1.09 = (s1) and 129 = (n2) , 1.59 = (l2), 1.20 = (s2).
Therefore, we will be using the following mathematical representation or formula to solve this question;
s = √(s1^2/ n1 + s2^2/n2).
When we slot it the values accordingly and solve for s, we will have a value of;
s = 0.1354.
Thus , for our t*, we can calculate that by using the formula below:
t*= l1 - l2/ s.= (2.45 - 1.59)/ 0.1354= 6.35.
Thus: p value = 2P(V> 6.35) = 2.1 × 10^-10.
Since we are given that a=0.01, thus, p value is less than 0.01 we can reject Jo.
Evelyn says that ⅗ is equivalent to 9/15. Anna says that ⅗ is equivalent to 15/25. Who is correct? How do you know?
Answer:
Both are correct
Step-by-step explanation:
3. ×3. 9
5. ×3. 15
3. ×5. 15
5. ×5. 25
PLEASE THIS IS AN EMERGENCY!!! YOU GET ALL MY POINTS!!! Adrianna's famous punch calls for 2 liters of mango juice. The only mango juice she can find is sold in 250milliliter cartons. How many cartons of mango juice does Adrianna need to buy?
Answer:
8 cartons
Step-by-step explanation:
1000milliliter = 1 liter
Hence 2 liters of mango juice = 2000 millilitres.
Therefore, no of cartons = 2000/250 = 8 cartons
Which of the following has no solution?
(x + 1<-1) n (x + 1< 1)
(x + 1 s 1) n (x + 12 1)
(x +1<1) n (x + 1 > 1)
Answer:
(x + 1 s 1) n (x + 12 1)
(x +1<1) n (x + 1 > 1)
Step-by-step explanation:
Just simplify each the statements.
Then compare and and see if the statements are contradictory and therefore FALSE, if so, then there is no solution.
(x + 1<-1) n (x + 1< 1)
(x <-2) n (x < 0) which is true, so there is a solution.
(x + 1 s 1) n (x + 12 1)
this doesn't make sense so there is no solution.
(x +1<1) n (x + 1 > 1)
(x < 0) n (x > 0)
This is not possible, the statements are contradictory and therefore FALSE, so there is no solution.
Which expressions are equivalent to 2 ( b + 3 c ) 2(b+3c)2, left parenthesis, b, plus, 3, c, right parenthesis ? Choose all answers that apply:
Answer:
2(b + 3c)²(b + 3c)² is equivalent to
2b^4 + 8b³c + 12b²c² + 8b²c³ + 2c^4
Step-by-step explanation:
The expression
2(b + 3c)²(b + 3c)²
Is equivalent to the expression
2(b + 3c)^4
This can be further expanded using the Pascals triangle as
2(b^4 + 4b³c + 6b²c² + 4b²c³ + c^4)
= 2b^4 + 8b³c + 12b²c² + 8b²c³ + 2c^4
find f(-1) if f(x) = -2x^2 -x
I hope it was helpful to you
if u like follow me
Find the volume of a pyramid with a square base, where the side length of the base is
16.6
m
16.6 m and the height of the pyramid is
10.1
m
10.1 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
Volume of the pyramid = 927.72 m² (Approx)
Step-by-step explanation:
Given:
Length of base = 16.6 m
Height of the pyramid = 10.1 m
Find:
Volume of the pyramid = ?
Computation:
Area of the square base = Side²
Area of the square base = (16.6)²
Area of the square base = 275.56 m²
[tex]Volume\ of\ the\ pyramid = \frac{1}{3}(Area\ of\ base)(Height)\\\\Volume\ of\ the\ pyramid = \frac{1}{3}(275.56)(10.1)\\\\Volume\ of\ the\ pyramid = 927.7186[/tex]
Volume of the pyramid = 927.72 m² (Approx)
The distance of a point ( 0 , -3 ) from the origin is
Answer:
3
Step-by-step explanation:
A(0, -3); O(0,0)
AO=√[(0-0)²+(0+3)²]=√3²=3
Find the vertex of the parabola.
y = 3 x squared minus 30 x + 77
a.
( -2, -5)
c.
( 5, 2)
b.
( -5, -2)
d.
( 2, 5)
which equation could be used to find the surface area of the net of the triangular prism
Answer:
2 B + p h
Step-by-step explanation:
The Surface Area = 2 B + p h
B is the area of the triangular base of prism
p perimeter of the base and
h the height of the prism
Answer:SA=(1/2)(5)(12)+(1/2)(5)(12)+(5)(2)+(12)(2)(13)(2)
Ans C
Step-by-step explanation:
Edgy
A farmer has a rectangular field.the field is 300m long and 200m wide. calculate the perimeter of the field
Answer:
1000m
STEP BY STEP EXPLANATION: 300m+300m+200m+200m
=600m+400m
=1000m
The perimeter of the field is 1000m
Calculation of the perimeter of the field:Since the field is 300m long and 200m wide.
We know that the perimeter of the rectangle is
= 2(length + width)
= 2(300 + 200)
= 2(500)
= 1000m
Therefore we can conclude that The perimeter of the field is 1000m
Learn more about perimeter here: https://brainly.com/question/17211131
express in the form n:1 give n as a fully simplified fraction 6:10
Answer:
n = 3/5
Step-by-step explanation:
We are given the ratio 6 : 10.
We see that we want to get a number n to 1 ratio; n : 1
In order to get one, we must divide 10 by 10, and so we would divide the entire ratio by 10 and simplify:
6/10 : 10/10
3/5 : 1 or 0.6 : 1
JC is making a poster for Bike Safety Week. The diameter of circle A is 18 in. If the area of circle B is the area of circle A, what is the area of circle B? (Use 3.14 for .)
Answer:
254.34
Step-by-step explanation:
area = [tex]\pi r^{2}[/tex]
area B = 3.14 x [tex](\frac{18}{2})^{2}[/tex] = 254.34
Graph a parabola whose intercepts are x=-3 and x=5 and whose minimum value is y =-4
Answer:
[tex]y = 4(x^{2} + 8x + 15) = 4x^{2} + 32x + 60[/tex]
Step-by-step explanation:
A parabola has the following format:
[tex]y = f(x) = ax^{2} + bx + c[/tex]
If a is positive, it's minium value is:
[tex]y_{M} = -\frac{\bigtriangleup}{4a}[/tex]
In which
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
Factoring:
[tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], in which [tex]x_{1} and x_{2}[/tex] are the intercepts.
In this question:
[tex]x_{1} = -5, x_{2} = -3[/tex]
So
[tex]a(x - x_{1})*(x - x_{2}) = a*(x - (-5))*(x - (-3)) = a*(x+5)*(x+3) = a*(x^{2} + 8x + 15)[/tex]
Suppose a = 1, we have:
[tex]x^{2} + 8x + 15[/tex]
[tex]\bigtriangleup = 8^{2} - 4*1*15 = 4[/tex]
The minimum value will be:
[tex]y_{M} = -\frac{4}{4} = -1[/tex]
We want this minimum value to be -4, which is 4 times the current minimum value, so we need to multiply a by 4. Then
[tex]a = 4[/tex]
And the parabola is:
[tex]y = 4(x^{2} + 8x + 15) = 4x^{2} + 32x + 60[/tex]