Jaysen flips a coin and selects a letter tile at random from those shown.
What is the probability of flipping heads and selecting a vowel? Express your answer as a fraction in simplest form.
Answers
Answer:
The probability of flipping heads is 1/2 and the probability of picking a vowel is 4/10 or 2/5
Related Questions
The sum of 2 numbers is 11 and the difference is 5
Answers
Answer:
let no. be x and y.
we have
x+y=11.......(1)
x-y=5........(2)
adding equation 1&2
x+y+x-y=11+5
2x=16
x=16/2=8
again
8-y=5
y=8-5=3
:.
x=8,y=3
I WILL GIVE 50 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. The zeros of a function H are -2,3 and -4 which of the following could be h(x)
Answers
Answer:
a
Step-by-step explanation:
kkkkkkkkkkkkkkkkkkkkkkk
Answer:
a. h(x)=(x+2) (x-3) (x+4)
Step-by-step explanation:
The zeros of the function are -2, 3 and -4:
(x=-2) (x=3) (x=-4)
(x+2) (x-3) (x+4)
a system of equations is shown x-2y=-5 2x+4y=14
Answers
Answer: here you go
Step-by-step explanation:
A) 2x + 4y = 14
B) 4x + y = 20
If you multiply equation A by -2, then when the equations are added, the x will be eliminated.
The solutions are:
X = 4.714285714285714
Y = 1.1428571428571428
The graph shows the amount of money that Janice saves each week from her summer job. which equation best represents the graph
Answers
Answer:
y = 100x + 200
Step-by-step explanation:
Wesley walked 11 miles in 4
hours.
If he walked the same distance every hour,
how far did he walk in one hour?
Write your answer:
Using a whole number of miles and a whole number of feet
Answers
Answer:
3 miles
58080 feet
Step-by-step explanation:
You have been given the task of designing a study concerning the lifetimes of five different types of electric motor. The initial question to be addressed is whether there are differences in mean lifetime among the five types. There are 20 motors, four of each type, available for testing. A maximum of five motors can be tested in a day. The ambient temperature differs from day to day, and this can affect motor lifetime.
a. Describe how you would choose the five motors to test each day. Would you use a completely randomized design? Would you use any randomization at all?
b. If X;j represents the measured lifetime of a motor of type i tested on day j, express the test statistic for testing the null hypothesis of equal lifetimes in terms of the Xir
Answers
Answer:
a-As the only factor of interest is type of electric motor, thus instead of using 1-factor randomization, a randomized block design is used where at maximum one motor of each type is tested every day.
b- The test statistic is given as
[tex]F_{I-1,(I-1)(J-1)}=\dfrac{12\left(\Sigma^{5}_{i=1}\bar{X}^{2}_{i.}-IJ\bar{X}^2_{..}\right) }{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}[/tex]
Step-by-step explanation:
a-
This is done such that the days are considered as blocks and the randomization is only occuring within the block. The order of testing is random. However the condition is implemented such that one motor of each type is tested each day.
b-
The F-Value is given as
[tex]F-Value=\dfrac{MSA}{MSAB}[/tex]
Here MSA is given as
[tex]MSA=\dfrac{J\Sigma^I_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{I-1}[/tex]
Here
I is the number of types which is 5J is the number of motors of each type which is 4[tex]\bar{X}_{i.}[/tex] is the row-wise mean which is given as [tex]\bar{X}_{i.}=\dfrac{1}{J}\Sigma^J_{j=1}X_{ij}[/tex][tex]\bar{X}_{..}[/tex] is the sample grand mean which is given as [tex]\bar{X}_{..}=\dfrac{1}{IJ}\Sigma^I_{i=1}\Sigma^J_{j=1}X_{ij}[/tex]Similarly MSAB is given as
[tex]MSAB=\dfrac{\Sigma^I_{i=1}\Sigma^J_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{(I-1)(J-1)}[/tex]
Here
I is the number of types which is 5J is the number of motors of each type which is 4[tex]\bar{X}_{i.}[/tex] is the row-wise mean which is given as [tex]\bar{X}_{i.}=\dfrac{1}{J}\Sigma^J_{j=1}X_{ij}[/tex][tex]\bar{X}_{..}[/tex] is the sample grand mean which is given as [tex]\bar{X}_{..}=\dfrac{1}{IJ}\Sigma^I_{i=1}\Sigma^J_{j=1}X_{ij}[/tex][tex]\bar{X}_{.j}[/tex] is the column-wise mean which is given as [tex]\bar{X}_{.j}=\dfrac{1}{I}\Sigma^I_{i=1}X_{ij}[/tex][tex]X_{ij}[/tex] is the any motor j of type iBy putting these values and simplifying, equation becomes:
[tex]F-Value=\dfrac{MSA}{MSAB}\\\\F-Value=\dfrac{\dfrac{J\Sigma^I_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{I-1}}{\dfrac{\Sigma^I_{i=1}\Sigma^J_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{(I-1)(J-1)}}\\\\F-Value=\dfrac{\dfrac{4\Sigma^5_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{5-1}}{\dfrac{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{(5-1)(4-1)}}\\\\[/tex]
This is further simplified as
[tex]F-Value=\dfrac{\dfrac{4\Sigma^5_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{4}}{\dfrac{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{12}}\\\\F-Value=\dfrac{\Sigma^5_{i=1}(\bar{X}_{i.}-\bar{X}_{..})^2}{\dfrac{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{12}}\\\\[/tex]
The numerator can be written as
[tex]F-Value=\dfrac{\Sigma^{5}_{i=1}\bar{X}^{2}_{i.}-IJ\bar{X}^2_{..}}{\dfrac{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}{12}}\\\\F-Value=\dfrac{12(\Sigma^{5}_{i=1}\bar{X}^{2}_{i.}-IJ\bar{X}^2_{..})}{{\Sigma^5_{i=1}\Sigma^4_{j=1}\left(X_{ij}-\bar{X}_{i.}-\bar{X}_{.j}+\bar{X}_{..}\right)^2}}\\[/tex]
which equation has (2, -1) as a solution
a. y=2x-1
b. y=x+3
c. y=x-3
d. y=-2x+1
Answers
Answer:
y=x-3
-1＝2-3＝-1
............
Does anyone know the answer to this?
Answers
Answer:
x=18 and y=106
Step-by-step explanation:
PLEASE ASNWER ILL GIVE YOU BRAINLIEST
Answers
Answer:
33 1/3%
Step-by-step explanation:
(672 - 600) / 4 = 72 / 4 = $18, which is 33 1/3%
Hope that helps! A Brainliest would be appreciated :)
Answer:
3%
Step-by-step explanation:
1) 672-600=72 = the simple interest
2) 72=600(4)r which equals 72=2400r
3) divide 72 by 2400 which get 0.03
4) 0.03 = 3%
Calculate the mass of NaOH in 0.2 moles of NaOH
Answers
Answer:
0.2M i.e
Step-by-step explanation:
Ms. Gonzalez had $70 to purchase school supplies for her class. She bought 29 glue sticks and 29 boxes of crayons. Each glue stick cost $1.29, and each box of crayons cost $0.79. How much money did Ms. Gonzalez have left after these purchases?
Answers
can someone help me answers these questions
Answers
Answer:
3) 156°
4) 24°
5) 24°
6) 24°
Step-by-step explanation:
m∡2: 180 - 156 = 24°
m∡3: 156° (is vertical to angle labeled as 156°)
m∡4: 24° (is vertical to angle 2)
m∡5: 156°
m∡6: 24° (alternate-interior to angle 4)
m∡7: 156° (corresponding angle with ∡3)
m∡8: 24° (vertical with angle 6)
Answer:
Step-by-step explanation:
m∠2 = m∠4 = m∠8 = 180° - 156° = 24°
m∠8 = 156°
Fencing with the length of 840 m surrounds two identical playing fields with a common side. The fields can be side-by-side and separated by a fence, as shown in the figure. Find the dimensions in the maximum area of each field.
Answers
Answer:
x = 140 y = 105 x · y = 14700 m²
Step-by-step explanation:
good question
it looks like 3 sides of length x
and 4 sides of length y
area 1 = area 2
and the length of all the sides sum to 840
3x + 4y = 840 find the maximum area = 2· x · y
This is a calculus problem that I can't remember how solve
if x = 0 y = 210
if y = 0 x = 280 280 / 2 = 140 the mid-point the logical answer
if x = 140 y = 105 x · y = 14700 m² this appears to be the max
if x = 135 y = 108.75 x · y = 14681.25 m² smaller area
if x = 145 y = 101.25 x · y = 14681.25 m² smaller area
I need an eqaution with a quadratic and take the first derivative
y = (840 - 3x) / 4 xy = max area y = max area/x
(max area) / x = (840 - 3x) / 4 solve for x
max area = x(840 - 3x) / 4
max area = [840x/4 - 3x²/4] '
max area = 210x - 3x²/4 take the first derivative
max area = 210 - 6x/4 maximum occurs when slope = 0
0 = 210 - 3x/2
3x/2 = 210
x = 210·2/3
x = 420 / 3
x = 140 y = 105
3(140) + 4(105) = 420 + 420 = 840 checks
Y(2.5+7)+y-2
10.5y-2
Answers
Answer:
−200y − 2
Step-by-step explanation:
y(2.5 + 7) + y −210.5y − 2
=9.5y + y + −210.5y + −2
=(9.5y+ y + −210.5y) + (−2)
−200y − 2
Mark me brainllest
A student has been tracking his progress in French class. He notes each
grade he receives along with the date he received it. At the end of the
semester, he decides to create a data display to illustrate how his grades
have improved over time. What kind of display is his best choice?
O A. Stem-and-leaf plot
O B. Line graph
O C. Bar graph
D. Circle graph
Answers
Answer:
B) Line graph
Pls help me if u can
Answers
Answer:
523.33 cm³
Step-by-step explanation:
Formula of volume of sphere
[tex] = \frac{4}{3} \pi {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {5}^{3} [/tex]
[tex] = \frac{1570}{3} [/tex]
[tex] = 523.3333333...[/tex]
= 523.33 cm³ (rounded to the nearest hundredth)
A researcher was interested in knowing whether the mean weight of the second baby is higher, lower, or about the same as the mean weight of the first baby for women who have at least two children. She selected a random sample of 20 women who had at least two children and asked for the weights of the first two at birth. She found that the mean of the differences (first - second) was 5 ounces, and the standard deviation of the differences was 7 ounces.
Required:
a. Why was the researcher's study design better than taking independent samples of mothers and asking the first sample about the weight of their first baby and the sec_ and sample about the weight of their second baby?
b. Define the parameter of interest. Use appropriate notation.
c. Write the mean of 5 ounces and the standard deviation of 7 ounces using appropriate statistical notation.
d. Find a 90% confidence interval for the parameter that you defined in part (b). Write a sentence or two interpreting the interval.
Answers
Help me please ( on the image )
Answers
Answer:
[tex]\frac{\pi}{3}[/tex] radians
Step-by-step explanation:
Number of hours on a clock = 12
Since, measure of a circle at the center = 360°
Measure of central angle formed by the arc between each number (representing hours) = [tex]\frac{360}{12}[/tex]
= 30°
Central angle formed by the arc intercepted by the hands of the clock at 8:00 = 4 × 30°
= 120°
Therefore, angle measure in radians = [tex]\frac{\pi }{360}\times (120^0)[/tex]
= [tex]\frac{\pi }{3}[/tex]
Angle formed by the hands of the clock at 8:00 = [tex]\frac{\pi}{3}[/tex] radians
12. Find the highest common factor that divides 24,36, and 72
without learning a remainder.
Answers
Answer:
Your answer is 12
Because the three numbers 24,36,72 are the factors of 12
If you are helped with my answer pls tag me brianliest
THANK YOU....
HELP ME WITH THISSS!!!!!!!!!!!!!!!!!!!
Answers
Can I please get help with this math problem? Thanks in advance.
Answers
Answer:
answer: scale factor is 3
Hope this helps
Answer:
ans :; scale factor is 3
this is the correct ans.
The diameter of a spindle in a small motor is supposed to be 4.1 millimeters (mm) with a standard deviation of 0.1 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 4.01 mm.
Required:
What are the null and alternative hypotheses?
Answers
Answer:
The null hypothesis is [tex]H_0: \mu = 4.1[/tex]
The alternate hypothesis is [tex]H_a: \mu \neq 4.1[/tex]
Step-by-step explanation:
The diameter of a spindle in a small motor is supposed to be 4.1 millimeters
This means that the null hypothesis is that the diameter has the supposed value, that is, [tex]H_0: \mu = 4.1[/tex]
If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement.
Tests if it has moved away, that is, if the mean is different from the specified value of 4.1. So the alternate hypothesis is [tex]H_a: \mu \neq 4.1[/tex]
Which of the following is a trigonometric identity?
cot 0 + tan 0 = 1
sec2 0 +csc2 0 = 1
tan2 0 = sin2 0 x sec2 0
cos2 = sec2 0 x tank 0
Answers
Answer:
it's the first one... I think
Answer:
third one
I'm assuming does 2's are squared symbols.
Step-by-step explanation:
It's the third one because
sin^2 x sec^2 x
sin^2 x (1/cos^2 x) by reciprocal identity
sin^2 x/cos^2 x by multiplicative identity prop
tan^2 x by quotient identity
The first one wouldn't work because plugging in pi/4 gives 1+1=1 which isn't true.
The second one doesn't work because plugging in pi/4 gives 2+2=1 which isn't true.
The last equation doesn't make sense at all. There is no variable on the left and on the right there is an extra variable.
The only solution to x^2+bx+c=0 is x=5 find a and b
Answers
Answer:
b=-10
c=25
Step-by-step explanation:
if the only solution is 5 so
x^2+bx+c=(x-5)²=x²-10x+25
b=-10
c=25
Inscribed Angles & Arcs and Sectors
(Giving brainliest to correct answer)
Answers
Answer:
0.4 pi
Step-by-step explanation:
find the circumference by doing 2 pi r
then you multiply that by a slice of the circle which is 72 degrees divided by 360.
what is 7.09 Divided by 101
Answers
Answer:
0.070198..
Step-by-step explanation: its an on going number so make sure to put the line on top on the 0198
Alternate interior angles. if you are good at that help
Answers
Answer:
hi
Step-by-step explanation:
i think so,
(5x-54)⁰=(3x+16)⁰
5x-3x=16+54
2x=70
x=35⁰
3x+16=3×35+16=121
5x-54=5×35-54=121
hope it helps
have a nice day
Answer:
x = 35
The angles measure 121°
Step-by-step explanation:
Alternate interior angles are congruent. So,
3x + 16 = 5x - 54
16 = 2x - 54
70 = 2x
x = 35
Now, to find the angle measures, just plug in the value for x.
3(35) + 16 = 121°
5(35) - 54 = 121°
-3x-6=12 what does x equal
Answers
Answer:
-6
Step-by-step explanation:
What is the measure of the unknown acute angle in this right triangle?
Answers
Answer:
The answer is 54
Step-by-step explanation:
36+90=126
180-126= 54
Answer:
54 degrees
Step-by-step explanation:
Given the function g(x)=−x^2+3x, which of the following is the correct limit definition of g′(2)?
Answers
Answer:
solve for
x
. To find the y-intercept, substitute in
0
for
x
and solve for
y
.
x-intercept(s):
(
0
,
0
)
,
(
−
3
,
0
)
y-intercept(s):
(
0
,
0
)
Step-by-step explanation:
hope it helps make brainlliest ty the