Answers
Answer:
0.6
Step-by-step explanation:
A probability is the likelihood of an event occurring. A probability function is a function in which at any point, its probability value can be estimated. The integral of the probability function is always ≤ 1
To find the probability that x = 2 or 3, we simply add their respective individual probabilities, therefore:
P(X = 2 or 3) = P(X = 2) + P(X = 3) = P(2) + P(3) = 0.5 + 0.1 = 0.6.
P(X = 2 or 3) = 6
Related Questions
please help!!!!!!!!!!!!! Select ALL the correct answers. Choose the statements that are true about a cube with side length 1 unit.
Answers
Answer:
i think it is 2
Step-by-step explanation:
Reduce 5/15 to its lowest terms
Answers
Answer:
The answer is 1/3
Answer:
1/3
Step-by-step explanation:
The factors of 5 are 1,5;
* The factors of 15 are 1,3,5,15.
We can see that the GCD is 5 because it is the largest number by which 5 y 15 can be divided without leaving any residue.
To reduce this fraction, simply divide the numerator and denominator by 5 (the GCF).
So, 5 /15
= 5÷5 /15÷5
= 1 /3
A plant is given plant food that contains 54 milligrams of magnesium. The plant is given this food each week for 20 weeks. How many grams of magnesium does the plant receive in 20 weeks? Enter your answer as a whole number or decimal in the box. G
Answers
The total amount of magnesium, in grams, that the plant gets is 1.08 g
How many grams of magnesium does the plant receive in 20 weeks?We know that a plant gets 54 milligrams of magnesium each week for a total of 20 weeks.
Then the total amount that the plant gets, in milligrams, is:
T = 20*54 mg
T = 1,080 mg
And we want to find the total amount in grams, we know that:
1000mg = 1g
Then we can do a change of units to get:
T = (1,080/1000)g
T = 1.08 grams
That is the total amount.
Learn more about changes of units:
https://brainly.com/question/141163
#SPJ1
To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their fathers? Use the alphaequals0.10 level of significance. Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.
Height of Father Height of Son
72.4 77.5
70.6 74.1
73.1 75.6
69.9 71.7
69.4 70.5
69.4 69.9
68.1 68.2
68.9 68.2
70.5 69.3
69.4 67.7
69.5 67
67.2 63.7
70.4 65.5
Which conditions must be met by the sample for this test? Select all that apply.
A. The sample size is no more than 5% of the population size.
B. The differences are normally distributed or the sample size is large.
C. The sample size must be large.
D. The sampling method results in a dependent sample.
E. The sampling method results in an independent sample.
Write the hypotheses for the test. Upper
H 0 :
H 1 :
Calculate the test statistic. t 0=?
(Round to two decimal places as needed.)
Calculate the P-value. P-value=?
(Round to three decimal places as needed.) Should the null hypothesis be rejected?
▼ Do not reject or Reject Upper H 0 because the P-value is ▼ less than or greater than the level of significance. There ▼ is or is not sufficient evidence to conclude that sons ▼ are the same height or are shorter than or are taller than or are not the same height as their fathers at the 0.10 level of significance. Click to select your answer(s).
Answers
Answer:
1) B. The differences are normally distributed or the sample size is large
C. The sample size mus be large
E. The sampling method results in an independent sample
2) The null hypothesis H₀: [tex]\bar x_1[/tex] = [tex]\bar x_2[/tex]
The alternative hypothesis Hₐ: [tex]\bar x_1[/tex] < [tex]\bar x_2[/tex]
Test statistic, t = -0.00693
p- value = 0.498
Do not reject Upper H₀ because, the P-value is greater than the level of significance. There is sufficient evidence to conclude that sons are the same height as their fathers at 0.10 level of significance
Step-by-step explanation:
1) B. The differences are normally distributed or the sample size is large
C. The sample size mus be large
E. The sampling method results in an independent sample
2) The null hypothesis H₀: [tex]\bar x_1[/tex] = [tex]\bar x_2[/tex]
The alternative hypothesis Hₐ: [tex]\bar x_1[/tex] < [tex]\bar x_2[/tex]
The test statistic for t test is;
[tex]t=\dfrac{(\bar{x}_1-\bar{x}_2)}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
The mean
Height of Father, h₁, Height of Son h₂
72.4, 77.5
70.6, 74.1
73.1, 75.6
69.9, 71.7
69.4, 70.5
69.4, 69.9
68.1, 68.2
68.9, 68.2
70.5, 69.3
69.4, 67.7
69.5, 67
67.2, 63.7
70.4, 65.5
[tex]\bar x_1[/tex] = 69.6
s₁ = 1.58
[tex]\bar x_2[/tex] = 69.9
s₂ = 3.97
n₁ = 13
n₂ = 13
[tex]t=\dfrac{(69.908-69.915)}{\sqrt{\dfrac{3.97^{2}}{13}-\dfrac{1.58^{2} }{13}}}[/tex]
(We reversed the values in the square root of the denominator therefore, the sign reversal)
t = -0.00693
p- value = 0.498 by graphing calculator function
P-value > α Therefore, we do not reject the null hypothesis
Do not reject Upper H₀ because, the P-value is greater than the level of significance. There is sufficient evidence to conclude that sons are the same height as their fathers at 0.10 lvel of significance
if an equation is an identity how many solutions does it have?
Answers
Answer:
infinite solutions
Step-by-step explanation:
If we have and identity such as
3=3
Then we have infinite solutions since the identity is always true
You purchase x number of balloons for your party. You distribute them evenly among 8 tables. While you are finishing up with your decorations, 2 balloons pop. Is it true that each table will now have x − 2 8/2 balloons? Explain why or why not. someone help plzz
Answers
Answer:
No, it's just maximum of two tables that lost balloon so there is no way it affected each table.
Step-by-step explanation:
Number of balloons purchased= x
Number of tables = 8.
Each table has = x/8 balloons
If 2 balloons pop.
Let's assume it's just from a table
That table has( x/8 -2)
If it's from 2 table
The two table has
(X/8-1) for both tables
But the total balloon remaining = x-2
There is no particular equation that can describe the gallon on each table because it's only two balloons that popped.
Answer:
That expression is not true. To evenly distribute the balloons you use x/8. Then you subtract 2 balloons from that total amount. The subtraction must be done after the division. There will not be the same number of balloons at each table.
Step-by-step explanation:
It was the sample answer.
how many are 2 raised to 3 ???
Answers
Answer:
8
Step-by-step explanation:
2^3
It is two multiplied by itself 3 times
2*2*2
8
PLEASE help me with this question. This is really URGENT
Answers
Answer:
[tex]\boxed{ \sf Option \ 4}[/tex]
Step-by-step explanation:
The domain is all possible values for x.
There are no restrictions on x. The domain is all real numbers.
The range are all possible values of F(x) or y.
[tex]F(x)=5^{3(3)}= 1953125[/tex]
[tex]F(x)=5^{3(0)}= 1[/tex]
[tex]F(x)=5^{3(-2)}= 0.000064[/tex]
When the value of x increases, the value of F(x) increases until infinity. When the value of x decreases, the value of F(x) gets closer to 0 but does not equal to 0.
The range is [tex]y>0[/tex]
The coefficient of 3 does not affect the domain and range, as there are no real restrictions.
PLEASE help me with this question. This is really URGENT
Answers
Changing the exponent by 1/2 ( going from x to 1/2x)
This does not change the y-intercept.
It does sharpen the curve, which means the y value does not increase as quickly when x is increased.
THe 3rd choice is correct.
Proof: make x=2
Y = 3^2 = 9
Y = 3^1/2(2) = 3^1 = 3
You can see y is smaller with the 1/2 included.
A history professor decides to give a 12-question true-false quiz. She wants to choose the passing grade such that the probability of passing a student who guesses on every question is less than 0.10. What score should be set as the lowest passing grade? Group of answer choices
Answers
Answer:
we can set the 9 as a benchmark to be the score for the passing grade so that probability of passing a student who guesses every question is less than 0.10
Step-by-step explanation:
From the given information;
Sample size n = 12
the probability of passing a student who guesses on every question is less than 0.10
In a alternative - response question (true/false) question, the probability of answering a question correctly = 1/2 = 0.5
Let X be the random variable that is represent number of correct answers out of 12.
The X [tex]\sim[/tex] BInomial (12, 0.5)
The probability mass function :
[tex]P(X = k) = \dfrac{n!}{k!(n-k)!} \times p^k\times (1-p)^{n-k}[/tex]
[tex]P(X = 12) = \dfrac{12!}{12!(12-12)!} \times 0.5^{12}\times (1-0.5)^{12-12}[/tex]
P(X = 12) = 2.44 × 10⁻⁴
[tex]P(X = 11) = \dfrac{12!}{11!(12-11)!} \times 0.5^{11}\times (1-0.5)^{12-11}[/tex]
P(X =11 ) = 0.00293
[tex]P(X = 10) = \dfrac{12!}{10!(12-10)!} \times 0.5^{10}\times (1-0.5)^{12-10}[/tex]
P(X = 10) = 0.01611
[tex]P(X = 9) = \dfrac{12!}{9!(12-9)!} \times 0.5^{19}\times (1-0.5)^{12-9}[/tex]
P(X = 9) = 0.0537
[tex]P(X = 8) = \dfrac{12!}{8!(12-8)!} \times 0.5^{8}\times (1-0.5)^{12-8}[/tex]
P(X = 8) = 0.12085
[tex]P(X = 7) = \dfrac{12!}{7!(12-7)!} \times 0.5^{7}\times (1-0.5)^{12-7}[/tex]
P(X = 7) = 0.19335
.........
We can see that,a t P(X = 9) , the probability is 0.0537 which less than 0.10 but starting from P(X = 8) downwards the probability is more than 0.01
As such, we can set the 9 as a benchmark to be the score for the passing grade so that probability of passing a student who guesses every question is less than 0.10
Determine the length ofx and the length ofy, to the nearest tenth of a metre.
12
Х
37°
a. x = 7.2 m and y= 9.7 m
b. x = 9.6 m and y = 12.9 m
42°
x = 9.6 m and y= 14.3 m
d. x = 7.2 m and y = 10.8 m
c.
Answers
Answer:
Option D. x = 7.2 m and y = 10.8 m.
Step-by-step explanation:
A. Determination of the value of x
Angle θ = 37°
Opposite = x
Hypothenus = 12 m
Using the sine ratio, the value of x can be obtained as follow:
Sine θ = Opposite /Hypothenus
Sine 37 = x/12
Cross multiply
x = 12 × Sine 37
x = 7.2 m
B. Determination of the value of y.
Angle θ = 42°
Opposite = x = 7.2 m
Hypothenus = y
Using the sine ratio, the value of y can be obtained as follow:
Sine θ = Opposite /Hypothenus
Sine 42 = 7.2/y
Cross multiply
y × Sine 42 = 7.2
Divide both side by Sine 42
y = 7.2 / Sine 42
y = 10.8 m
Therefore, x = 7.2 m and y = 10.8 m
If AD = 6, DC = 14, and BE = 4.75, calculate EC. Image not set to scale.
Answers
Answer:
[tex]\Large \boxed{11.08}[/tex]
Step-by-step explanation:
The triangles are congruent, we can use ratios to solve.
AD/DC = BE/EC
Let the length of EC be x.
6/14 = 4.75/x
Solve for x.
Cross multiply.
6 × x = 14 × 4.75
6x = 66.5
Divide both sides by 6.
(6x)/6 = (66.5)/6
x = 11.083333...
Greetings from Brasil...
Here we can use similarities of triangles
AC/DC = BC/EC
20/14 = (4.75 + X)/X
X ≅ 11.1
see attachment
ΔABC is reflected across the x-axis and then translated 4 units up to create ΔA′B′C′. What are the coordinates of the vertices of ΔA′B′C′ ?
Answers
Answer:
A) (-3, 3) B) (-1, 1) C) (-2, 3)
Step-by-step explanation:
Find the value of x in each case:
Answers
Answer:
x=36
Step-by-step explanation:
180-x=180-2x +180-4x
180-x = 360 -6x
5x =180
36 = x
ABCD RECTANGLE α + β = ?
Answers
Answer:
Step-by-step explanation:
I'm going to walk through this analytically, so I will have to assign some variables to angles that are not marked. Pay close attention so you can follow the logic.
The angle at the top left next to and to the left of 40 will be "x", and the one to the right of 40 will be "y". Because that angle is a right angle, then we know that
x + y + 40 = 90 and
x + y = 50.
We also know that, by the Triangle Angle-Sum Theorem, the 2 triangles that contain alpha and beta will add up to equal 360, 180 apiece. So now we have:
x + 90 + α + y + 90 + β = 360.
Let's regroup a bit:
x + y + α + β + 90 + 90 = 360 and
(x + y) + α + β + 180 = 360.
But we know from above that x + y = 50, so
50 + α + β + 180 = 360 and
230 + α + β = 360 and
α + β = 130. There you go!
Answer:
α + β = 130
Step-by-step explanation:
∠ A = ∠ C = 90°
The sum of the 3 angles in a triangle = 180°
vertex angle at D inside the Δ = 180 - (90 + α ) ← Δ on left
vertex angle at D inside the Δ = 180 - (90 + β ) ← Δ on right
∠ ADC = 90° thus
180 - (90 + α) + 180 - (90 + β) + 40 = 90
180 - 90 - α + 180 - 90 - β + 40 = 90, that is
220 - α - β = 90 (add α and β to both sides )
220 = 90 + α + β (subtract 90 from both sides )
130 = α + β
In a community service class in the fall, 333 of the 151515 class sessions were lectures, while all others were devoted to fieldwork in parks. In the spring, the number of sessions devoted to fieldwork remained the same, but the total number of sessions increased to 181818. In the spring, what percent of class sessions were lectures? Choose 1 answer: 16.7\%
Answers
-15
Step-by-step explanation:
PLEASE ANSWER QUICKLY ASAP
ANSWER QUESTION A
Answers
Answer:
2934.46692
Step-by-step explanation:
if you need to round it,
hundrenths: 2,934.47
tenths: 2,934.5
Thousandths: 2,934.467
Hope this helps!
Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many laps must Kellyn jog to meet her goal?
Answers
Answer:
25/4 laps or (6.25 laps)
Step-by-step explanation:
1 lap = 1 1/5 miles
kellyn plans to jog 7 1/2 miles
1 lap
number of laps = 7 1/2 miles x -------------- = 25/4 laps or (6.25 laps)
1 1/5 miles
which of the following graphs dont belong and why?
Answers
Answer:
Upper Right
Step-by-step explanation:
All of them have different dips, therefore the one facing in a different direction must be the odd one out.
Answer:
top right graph
Step-by-step explanation:
3 of the 4 graphs start at negative infinity for negative x, and approach infinity as x approaches infinity.
The top right graph starts at infinity for negative x and approaches negative infinity as x approaches infinity.
Answer: top right graph
PLEASE HELP ME REALLY QUICK!
Answers
Answer:
90 degrees
Step-by-step explanation:
Add them together. 58+32=90
90 degrees
add them togather
The height of a building model is 2% of its actual height. If the building
model is 3 feet tall, how tall is the actual building?
Answers
Answer:
x = 150 feets
Step-by-step explanation:
Given that,
The height of a building model is 2% of its actual height.
The building model is 3 feet tall, h = 3 feet
We need to find the height of the actual building. Let it is x.
According to question,
h = 2% of x
We have, h = 3 feet
So,
[tex]x=\dfrac{h}{2\%}\\\\x=\dfrac{3}{2/100}\\\\x=150\ \text{feet}[/tex]
So, the actual height of the building is 150 feets.
20 POINTS!!! Use the quadratic formula above to solve for h(t) = -4.9t^2 + 8t + 1 where h is the height of the ball in meters and t is time in seconds. Round to the nearest hundredth second!
Answers
Answer:
Two solutions: -0.12 and 1.75.
Step-by-step explanation:
The quadratic formula is:
[tex]\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}[/tex]. Assuming that the x² term is a, the x term is b, and the constant is c, we can plug the values into the equation.
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {8^2 - 4\cdot-4.9\cdot1} }}{{2\cdot-4.9}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {64 + 19.6} }}{{-9.8}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {83.6} }}{{-9.8}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c}{\frac{{ - 8 \pm \sqrt {9.14} }}{{-9.8}}} \end{array}[/tex]
[tex]\frac{-8 + 9.14}{-9.8} = -0.12[/tex]
[tex]\frac{-8-9.14}{-9.8} =1.75[/tex]
Hope this helped!
A sprinter run 400 meter in 54 second.what about s the runner's average running rate in meter per second?round to the nearest tenth
Answers
Answer:
7.4
Step-by-step explanation:
400 ÷ 54 =7.407407...
7.407407... rounded to the nearest tenth is 7.4
I hope this helps... and plz mark me brainliest!!!
Solve for x.
13(x-3) = 39
x=1
x=4
x=6
x= 10
Answers
Answer:
x=6
Step-by-step explanation:
13(x-3) = 39
Divide each side by 13
13/13(x-3) = 39/13
x-3 = 3
Add 3 to each side
x-3+3 = 3+3
x = 6
Answer:
x=6 ,is right.
6-3=3&multiply 13=39
so answer is x=6
mark brainleast plz
Can anyone tell me the answer of the question attached below??
Answers
Answer: AE = 5
Step-by-step explanation:
I sketched the triangle based on the information provided.
since ∠A = 90° and is divided into three equal angles, then ∠BAD, ∠DAE, and ∠CAE = 30°
Since AB = 5 and BC = 10, then ΔCAB is a 30°-60°-90° triangle which implies that ∠B = 60° and ∠C = 30°
Using the Triangle Sum Theorem, we can conclude that ∠ADB = 90°, ∠ADE = 90°, ∠ AED = 60°, AND ∠ AEC = 120°
We can see that ΔAEC is an isosceles triangle. Draw a perpendicular to divide it into two congruent right triangles. Label the intersection as Z. ΔAEZ and ΔCEZ are 30°-60°-90° triangles.
Using the 30°-60°-90° rules for ΔABC we can calculate that AC = 5√3.
Since we divided ΔAEC into two congruent triangles, then AZ = [tex]\dfrac{5\sqrt 3}{2}[/tex]
Now use the 30°-60°-90° rules to calculate AE = 5
Find the value of |5| - 4(32 - 2).
Answers
Answer:
115
Step-by-step explanation:
5 - 4(30)
5 - 120
115
Answer:
-115
Step-by-step explanation:
Since anything in between those two lines (absolute value) always comes out positive and the five inside there is already positive, we don't need to worry about it.
First let's look at what's inside the parenthesis.
5 - 4(32 - 2)
= 5 - 4(30)
Next, we'd multiply. (I'm going by PEMDAS)
5 - 120
Now that we've done that we just need to subtract. Generally, 120-5=115, so, we just need to make it negative.
Hope this helps!! <3 :)
A file that is 276 megabytes is being dowloaded . If the downloaded is 16.7% complete how many megabytes have been dowloaded? Round ur answer to the nearest tenth ( can ya please hurry and answer thank you)
Answers
276 x .167 = 46.092
Answer: 46.1 megabytes
Step-by-step explanation:
Forgot how to do this please help, thank you.
3m + 2x=-3, solve for x
Answers
Answer:
[tex]\boxed{x =\frac{-3m-3}{2}}[/tex]
Step-by-step explanation:
[tex]3m + 2x=-3[/tex]
[tex]\sf Subtract \ 3m \ from \ both \ sides.[/tex]
[tex]3m + 2x-3m=-3-3m[/tex]
[tex]2x=-3-3m[/tex]
[tex]\sf Divide \ both \ sides \ by \ 2.[/tex]
[tex]\displaystyle \frac{2x}{2} =\frac{-3-3m}{2}[/tex]
[tex]\displaystyle x =\frac{-3m-3}{2}[/tex]
Answer:
x=\frac{-3-3m}{2}
Step-by-step explanation:
1st step: Subtract 3m from both sides. 3m+2x-3m=-3-3m
2nd step: Simplify. 2x=-3-3m
3rd step: Divide both sides by 2. \frac{2x}{2}=-\frac{3}{2}-\frac{3m}{2}
Final step: Simplify. x=\frac{-3-3m}{2}
what are the next 3 terms in the sequence? 0.8,1,1.2,1.4,1.6....
Answers
Answer:
The next three terms are 1.8, 2.0, and 2.2.
Step-by-step explanation: We can subtract a number of the sequence minus the number right before that number. For example, 1-0.8=0.2 and 1.4-1.2=0.2. So, we have to add 0.2 from 1.6 to find the next term which is 1.8, then add 1.8+0.2 to get 2 as the number after that, then add 2+0.2=2.2 to get the final number. Som your answer is 1.8,2.0,2.2. Hope this helped.
3. a. Simplify (2x + y) (x-7)
b. Find the truth set of 2x-3 +3 = -1
Answers
Answer: b. X=-1/2
Step-by-step explanation:
2x-3+3=-1-3 and +3 cancel each other
2x=-1 both sides divided by 2
X=-1/2
