Answer:
0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 7.2 minutes and a standard deviation of 2.1 minutes.
This means that [tex]\mu = 7.2, \sigma = 2.1[/tex]
For a randomly received emergency call, find the probability that the response time is between 3 and 9 minutes.
This is the pvalue of Z when X = 9 subtracted by the pvalue of Z when X = 3.
X = 9
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{9 - 7.2}{2.1}[/tex]
[tex]Z = 0.86[/tex]
[tex]Z = 0.86[/tex] has a pvalue of 0.8051
X = 3
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{3 - 7.2}{2.1}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.8051 - 0.0228 = 0.7823
0.7823 = 78.23% probability that the response time is between 3 and 9 minutes.
Question 6 (5 points)
Which of the following statements is true for 6.24?
O A) It's irrational because 6.24 =
68/33
OB) It's irrational because 6.24 =
= 60/25.
OC) It's rational because 6.24 = 68/33.
OD) It's rational because 6.24 =
66/25.
Answer:
C
Step-by-step explanation:
it's rational because 6.24 can be 68/33
sorry if I'm wrong!!
Plz help What is 2x+x
Answer:
The correct answer is 3x
Step-by-step explanation:
Add 2x and x
~Hoped this helped~
~Brainiliest, please?~
4 7/10 - 1 9/10 Pls help me also its fractions IT SO HARD
2 4/5 that’s the answer.
Enjoy
Is this sequence arithmetic? 6,11,16,21
Answer: Yes, it is.
Step-by-step explanation:
Sorry, I just know the answer because I just did this in school. Like- right now
HURRY I NEED HELP!!!
Answer: 6 plus 15 and give me brainlest
Step-by-step explanation:
Answer:
complementary angles add to 90°
create an equation for both of the angles:
90= 3x + 10 + x
solve for x by combining like terms:
90= 4x + 10
solve for x by removing 10 from both sides:
80= 4x
solve for x by dividing by 4 on both sides:
20=x
and you get your answer of x=20
To check your answer plug in 20 for x in the equation above:
90= 3(20) + 10 + 20
90= 60 + 30
90=90
Which expression is equivalent to -3 (x - y) ?
0 -3x -3y
0-3x + 3y
0 -3x - y
0-3x + y
Answer:
-3 (x - y)
expand
-3.(x) -3 (-y)
-3.(x) +3 (y) multiplication of (-1).(-1) = (+1)
Step-by-step explanation:
(02.01)Polygon ABCD slides 4 units left and 3 units up on the coordinate plane. If the original measure of angle A was 75 degrees, what is the measure of angle A'?
A-75 degrees
B-100 degrees
C-105 degrees
D-180 degrees
The surface area of one cube is twice the surface area of a second cube.
What is the ratio of their volumes?
Answer:
[tex]2\sqrt{2} :1[/tex]
Step-by-step explanation:
This question was linked from another one regarding the lengths of the cubes, you can find it here: https://brainly.com/question/22396279
That question gave you the ratio of the lengths, which is [tex]\sqrt{2} :1[/tex]. Now in geometry, a general rule about solids is that if they are similar, the ratio of their volumes is the cube of the ratio of their edges. In a cube's case, every single cube known to mankind is similar as all the edges are the same length.
So the ratio of volumes would be [tex]\sqrt{2} ^3:1^3[/tex], which can be simplified as [tex]2\sqrt{2} :1[/tex].
In two or more complete senteces compare the number of x-intercepts in the graph of f(x)=x^2 to the number of x-intercepts in the graph of g(x)=x^2-7. Be sure to include the transformation that occured between the parent function f(x) and its image g(x)
Answer:
Step-by-step explanation:
f(x) = x² is an up-opening parabola with vertex (0,0). There is one x-intercept, and that is the vertex.
g(x) = x²-7 is the equivalent to f(x) shifted down 7 units. Since the vertex is below the x-axis and the parabola opens upwards, it intercepts the x-axis at two points.
What is the area, in square inches, of the trapezoid below?
Answer:
area = 96.22 in²
Step-by-step explanation:
area of rectangle = 6.8 x 5.7 = 38.76
area of right side triangle = 1/2(8.4)(6.8) = 28.56
area of left side triangle = 1/2(8.5)(6.8) = 28.9
38.76 + 28.56 + 28.9 = 96.22
The measure of an angle is 42.89. What is the measure of its supplementary angle?
Answer:
The supplementary angle is 137.11.
Step-by-step explanation:
180-42.89 = 137.11
Hope this helps!
Will give brainly
Please answer as soon as possible
This graph allows you to not only compare different categories of data but also compare each category to the whole.
line graph
bar graph
scatter plot
Circle graph
Please help me
Please answer as soon as possible
Answer:
wheres the graph if u show me the graph ill be glad to help u
Step-by-step explanation:
Answer:
A circle graph
Step-by-step explanation:
This only applies if the question means a pie chart when it says "circle graph".
ANSWER FAST PLEASE!!!!!!!!!
Answer:
The domains are the X's, so 5, 3, 4, and 2
Step-by-step explanation:
find the value of 0.7 +15.352+2
Answer:
wouldn't this be 18.052
Step-by-step explanation:
add 15 and 2 then add 1 (from 0.7 plus 0.3) then add the other decimals
Answer: 18.052
Step-by-step explanation:
We just need to add them all.
15.352+0.7=16.052 16.052+2=18.052
Find the solution set of the inequality 3x+5≤-13
Answer:
has to be under / or -13 so ...
x = -6
3(-6) + 5 =
-21 + 5 = -13
HELPP!!
Explain how to find the difference between two integers using the difference.
WILL GIVE BRAINLIEST
Answer:
Hope this will help you.
this is on ttm or imagine math
Answer:
I think the answer is A as well
Step-by-step explanation:
Answer:
a a a a a a a a a a a a a
Step-by-step explanation:
The area of a wall to be tiled in 1.5 metres by 2.5 metres.
Tiles are 50cm by 50cm
The tiles are £0.99 each.
How much will the tiles cost in pounds
Answer:
£14.85
Step-by-step explanation:
The total number of tiles needed
= 5 × 3
= 15
∴ The total cost of the tiles
= £0.99 × 15
= £14.85
In 2000 a particular school district had a total of 7982 students enrolled in school. At this time, the percent of white students who were exposed to school poverty3 was 30% whereas this was 34.5% for Black students. The number of white students in this district in 2000 was 5184 and the number of Black students was 1035. (Note these are the deomgraphics for students who identify as one of these two races alone.) In 2015, the number of students enrolled in school in this district increased to 11977. The percent of white students exposed to school poverty increased to 47.8% and the percent for Black students increased to 76.1%. The number of white students in this district in 2015 was 7306 and the number of Black students was 2037.
Suppose we want to determine if, relative to the increased size of the school district from 2000 to 2015, is the difference between the proportion of white students exposed to poverty likely due to something besides chance. Perform an appropriate statistical hypothesis test at an α = 0.05 confidence level to answer this question. Show all your work and interpret your conclusion within the context of the problem and the appropriateness of the required assumptions.
Perform the same analysis as you did but this time to determine if there is statistical evidence of an actual difference between the proportion of Black students exposed to poverty.
Answer:
Part A
There is sufficient statistical evidence to suggest that the difference between the proportion of White students exposed to poverty is likely due to something beside chance
Part B
There is sufficient statistical evidence to suggest that the difference between the proportion of Black students exposed to poverty is likely due to something beside chance
Step-by-step explanation:
Part A
The given data are;
The percent of White students exposed to school poverty in 2,000, [tex]\hat p_1[/tex] = 30%
The number of White students in the district in 2,000, n₁ = 5184
The percent of White students exposed to school poverty in 2,015, [tex]\hat p_2[/tex] = 47.8%
The number of White students in the district in 2,015, n₂ = 7,306
The significant level, α = 0.05
The confidence level = 1 - α/2 = 1 - 0.05/2 = 0.975
The critical z at 0.975 confidence level, [tex]Z_c[/tex] = 1.96
The null hypothesis, H₀; [tex]\hat p_1[/tex] = [tex]\hat p_2[/tex]
The null hypothesis, H₀; [tex]\hat p_1[/tex] ≠ [tex]\hat p_2[/tex]
The Z test is given as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
Therefore, we have;
[tex]Z=\dfrac{0.3 - 0.478}{\sqrt{0.3 \cdot (1-0.3)\left (\dfrac{1}{5184}+\dfrac{1}{7306} \right )}} = -21.3894[/tex]
Given that the actual Z is much larger than the critical Z, we reject the null hypothesis that the difference between the proportion of White students is likely due to something other than chance
Part B, we have;
The percent of black students exposed to school poverty in 2,000, [tex]\hat p_1[/tex] = 34.5%
The number of black students in the district in 2,000, n₁ = 1035
The percent of black students in the district in 2,015, [tex]\hat p_2[/tex] = 76.1%
The number of black students in the district in 2,000, n₁ = 2037
[tex]Z=\dfrac{0.345 - 0.761}{\sqrt{0.345 \cdot (1-0.35)\left (\dfrac{1}{1,035}+\dfrac{1}{2,037} \right )}} =-22,925[/tex]
Similarly, due to the large value of Z compared to [tex]Z_c[/tex], there must be other variables responsible for the difference in proportion
can someone please help me ? :)
Answer:
9.32millimetres
10. 7inches
Step-by-step explanation:
9. r=½diameter
r=½×64
r=32
10. volume=length×width×height
336=6×8×h
336=48h
h=336/48
h=7
132 beads is split into 96 beads and 36 beads. in simplest form , what is the ratio of the split
Answer:
16:6
Step-by-step explanation:
96:36
Highest common factor is 6
divide both sides by 6
16:6
which pair of triangles is congruent by asa?
Solve for x in the triangle. Round your answer to the nearest tenth
Answer:
9.1
Step-by-step explanation:
Tangent 33=x/14
x=14*Tan 33
x=9.1(nearest tenth)
Solve the following system of equations using substitution. Upload a
picture of your work for full credit.
x= 20 + 6y
3x – 3y = 15
SHOW WORK!!
Answer:
x = 2, y = -3
Step-by-step explanation:
Substitute x = 20 + 6y into 3x - 3y = 15:
[tex]3 (20+6y) - 3y = 15\\60 + 18y - 3y = 15\\60 + 15y = 15\\15y = -45\\y = -3[/tex]
Substitute this back into the equation x = 20 + 6y
[tex]x = 20 + 6 * (-3)\\x = 20 - 18\\x = 2[/tex]
Which graph represents the function f(x)=0•2^x+3
Step-by-step explanation:
Literally, lets not waste anybody's time. Super simple fix, you'll thank me later!
Type in desmos graphing calculator.
A bag contains 4 white,5 blacks and 2 blue balls. 3 balls are drawn one after the other without replacement from the bag .what is the probability that they are of different color
Answer:
24/99
Step-by-step explanation:
From the question given above, the following data were obtained:
White (W) balls = 4
Black (B) balls = 5
Blue (Bl) balls = 2
Probability that they are of different color =?
Next, we shall determine the total number of balls in the bag. This can be obtained as follow:
White (W) balls = 4
Black (B) balls = 5
Blue (Bl) balls = 2
TOTAL = 4 + 5 + 2 = 11 balls
Next, we shall determine the possible outcome of draw. This can be obtained as follow.
The possible outcome could be:
WBLB or WBBL or BBLW or BWBL or BLBW or BLWB
Next we shall determine the probability of each of outcomes.
Since the ball is drawn without replacement, it means the total number of ball will reduce after each draw.
White (W) balls = 4
Black (B) balls = 5
Blue (Bl) balls = 2
TOTAL = 11
P(WBLB) = 4/11 × 2/10 × 5/9 = 40/990
P(WBLB) = 4/99
P(WBBL) = 4/11 × 5/10 × 2/9 = 40/990
P(WBBL) = 4/99
P(BBLW) = 5/11 × 2/10 × 4/9 = 40/990
P(BBLW) = 4/99
P(BWBL) = 5/11 × 4/10 × 2/9 = 40/990
P(BWBL) = 4/99
P(BLBW) = 2/11 × 5/10 × 4/9 = 40/990
P(BLBW) = 4/99
P(BLWB) = 2/11 × 4/10 × 5/9 = 40/990
P(BLWB) = 4/99
Finally, we shall determine the probability that they are of different color. This can be obtained as follow:
P(WBLB) = 4/99
P(WBBL) = 4/99
P(BBLW) = 4/99
P(BWBL) = 4/99
P(BLBW) = 4/99
P(BLWB) = 4/99
Probability that they are of different color =?
Probability that they are of different color = P(WBLB) + P(WBBL) + P(BBLW) + P(BWBL) + P(BLBW) + P(BLWB)
= 4/99 + 4/99 + 4/99 + 4/99 + 4/99 + 4/99
= (4 + 4 + 4 + 4 + 4 + 4)/99
= 24/99
Thus, the probability that they are of different color is 24/99
What is the mode of the data set?
A. 8
B. 9
C. 10
D. 5
Answer:
A: 8
Step-by-step explanation:
The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. ... The mode can be the same value as the mean and/or median, but this is usually not the case
how many minutes are there in 12.5 hours
Answer:
750 minutes
Step-by-step explanation:
there are 750 minutes in 12,5 hours hope that helps
Answer:
Everyone else is correct it's 750 minutes
How many groups of 1/4 are in 3. Draw a tale diagram
Answer:
12.
Step-by-step explanation:
there are 50 petals on 10 purple orchids each purple orchid has the same number of petals find the number of petals on the purple orchid
Answer:
5 petals per purple orchid
Step-by-step explanation:
because if they all have the same amount of petals then you divide the total petals (50) by the number of orchids (10) and get the (5) orchid petals per purple orchid.