Answer:
x=-1/4
Step-by-step explanation:
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x=29
The authors of a certain paper describe a study to evaluate the effect of mobile phone use by taxi drivers in Greece. Fifty taxi drivers drove in a driving simulator where they were following a lead car. The drivers were asked to carry on a conversation on a mobile phone while driving, and the following distance (the distance between the taxi and the lead car) was recorded. The sample mean following distance was 3.80 meters and the sample standard deviation was 1.19 meters.
Construct a 95% confidence interval (in meters) for μ, the population mean following distance while talking on a mobile phone for the population of taxi drivers. (Round your answers to three decimal places.)
Answer:
The 95% confidence interval is [tex] 3.462 < \mu < 4.138 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The sample mean is [tex]\= x = 3.80[/tex]
The standard deviation is [tex]\sigma = 1.19[/tex]
Given that the confidence level is 95% then the level of confidence is mathematically represented as
[tex]\alpha = (100 - 95)\%[/tex]
=> [tex]\alpha = 0.05 [/tex]
Generally from the t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 50 -1 = 49[/tex] is
[tex]t_{\frac{\alpha }{2} ,49 } = 2.0096[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E =2.0096 * \frac{1.19}{\sqrt{ 50} }[/tex]
=> [tex]E = 0.3381 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
[tex] 3.80 -0.3381 < \mu < 3.80 +0.3381[/tex]
=> [tex] 3.462< \mu < 4.138 [/tex]
Help! I honestly dont get this !
Answer:
i don't get that ether
Step-by-step explanation:
Mark randomly chose a snack, replaced it, and then chose another snack. What is the probability that Mark chose a bag of chocolate and then chose a bag of dried fruit?
Answer:
50%
its very likely tbh. I did that like in 5th grade, im probably wrong.
The yield in bushels from a grove of orange trees is given by Y = x(600 − x), where x is the number of orange trees per acre. How many trees will maximize the yield?
Answer:
90000
Step-by-step explanation:
Y = x(600 - x)
Let's rearrange the equation so that we have
Y = x(-x + 600)
Y = -x² + 600
When you take a look at parabolas, we know that their maximum or minimum values are usually on the axis of symmetry. This axis of symmetry has an equation of
x = -b/2a,
In this question, the axis of symmetry is
x = -600 / -2
x = 300
This means that planting 300 trees will maximize your yield. If you substitute for x = 300 into the equation, the maximum yield will be
y = 300 (600 - 300)
y = 90000.
Answer: 300
Step-by-step explanation:
use the formula X=-b/2a
x=-600/-2
x=300
PLEASE HELP FAST!!!! THIS IS URGENT!!!
For the following set of triangles, fill in the blanks with the correct measure. Enter your answers as number only.
1) m∠A = _____˚
2) m∠B = _____˚
3) m∠C = _____˚
4) m∠X = _____˚
5) m∠Y = _____˚
6) m∠Z = _____˚
7) Segment AB = ___ units
8) Segment BC = ___ units
9) Segment AC = ___ units
10) Segment XY = ___ units
11) Segment YZ = ___ units
12) Segment XZ = ___ units
Answer:
1. 53°
2. 90°
3. 37°
4. 57°
5. 90°
6. 37°
7. 3
8. 4
9. 5
10. 3
11. 4
12. 5
Step-by-step explanation:
it's alot to explain, if you need an explanation for a certain one, just ask me lol
janelle has 25 pictures on her cell phone.she takes 7 more pictures, and then deletes 9 pictures . how many pictures does she have ?
Answer:
23
Step-by-step explanation:
Answer: 23 pictures
Step-by-step explanation:
25 + 7 = 32
32 - 9 = 23
Your answer will be 23 pictures.
Hope this helps!
Convert 66 inches to meters.
Conversion table:
1 meter = 3.281 feet
1 foot = 12 inches
Find Each Sum.
1) (-1)+(-46)=
2) (-30)+10=
3) (-34)+50=
4) 38+(-5)=
Answer:
1 is -47.
2 is -20
3 is 16.
4 is 33.
Step-by-step explanation:
Brainiest?
Find the value of x
A.9
B.18
C.45
D.90
9514 1404 393
Answer:
B. 18
Step-by-step explanation:
The vertical angles are supplementary to the same angle.
4x +(2y+x) = 180
(2y-x) +(2y+x) = 180
We can solve the second equation first to find the value of y:
4y = 180 . . . . simplified
2y = 90 . . . . .divide by 2
Substituting into the first equation, we have ...
5x +2y = 180
5x +90 = 180
5x = 90
x = 18 . . . matches choice B
Orbital Toys sells two types of sets of magnetic spheres, silver and brass. The store owner, Lucy Ball, pays $8 and $16 for each one set of silver magnetic spheres and brass magnetic spheres respectively. One set of silver magnetic spheres yields a profit of $3 while a set of brass magnetic spheres yields a profit of $5. Ms. Ball estimates that no more than 2000 sets of magnetic spheres will be sold every month and she does not plan to invest more than $20,000 in inventory of these sets. How many sets of each type of magnetic spheres should be stocked in order to maximize her total monthly profit? What is her maximum monthly profit?
Answer:
The maximum profit will be reached by buying 500 brass magnetic spheres and 1500 silver magnetic spheres.
Step-by-step explanation:
In order to solve this you need to create a system of equations, with two values that will create the answer we are looking for, the thing that we don't know here is how many of each are we buying so the number of silver magnetic spheres will be represented by "y" and the brass magnetic spheres will be represented by "x".
So we know that x+y=2000
That's our first equation, our second would be the expense, which would be
8x+16y=20,000
We now just solve for one of them
x=(2000-y)
8(2000-y)+16y=20,000
16,000-8y+16y=20,000
8y=4,000
y=500
So we know that the maximum profit will be reached by buying 500 brass magnetic spheres and 1500 silver magnetic spheres.
Help me please!!!!!!!!
Step-by-step explanation:
To solve the equation for s we've got to leave s alone
[tex]n = \frac{s + 360}{180} \\ 180n = s + 360 \\ 180n - 360 = s[/tex]
Line t has a slope of 3/5 line u is perpendicular to t what is the slope of line u
Answer:
[tex]\frac{5}{3}[/tex] is the slope of the line
Step-by-step explanation:
When two lines are perpendicular, their slopes are inverse.
[tex]\frac{3}{5}[/tex] becomes [tex]\frac{5}{3}[/tex] because they are inverse. Just flip the numerator (top number) and denominator(bottom number).
Hope this helps!
QUICK plzzzz. Don’t worry about the other questions just plz answer 17 for me :)
Answer:
a) Vf = at + Vi
b) 10 m/s
Step-by-step explanation:
Part A:
first bring the t to the other side, when doing this the t will become a numerator: at= Vf-Vi
now bring the Vi over to the other side and flip the sign: at + Vi = Vf
this can be rewritten as Vf = at + Vi
Part B:
substitute the numbers: Vf = (2)(3) + 4
solve to get: Vf = 10 m/s
A researcher wants to compare the heights of males between generations to see if they differ. To do this, he samples random pairs of males who are at least 18 years old and their fathers. He then splits them into a sample of fathers and a sample of sons. Suppose that data were collected for a random sample of 11 pairs, where each difference is calculated by subtracting the height of the son from the height of the father. Assume that the heights are normally distributed. The test statistic is t≈1.971, α=0.05, the corresponding rejection regions are t<−2.228 and t>2.228, the null hypothesis is H0:μd=0, and the alternative hypothesis is Ha:μd≠0.
Select all that apply:
a. Reject the null hypothesis.
b. Fail to reject the null hypothesis.
c. The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the heights of males between generations are different.
d. The conclusion of the hypothesis test is that there is insufficient evidence to suggest that the heights of males between generations are different.
Answer:
The correct option is
Option A and Option C
Step-by-step explanation:
From the question we are told that
The sample size of paired men is [tex]n_p = 11[/tex]
The test statistics is t≈1.971
The significance level is α=0.05
The rejection region is t<−2.228 and t>2.228
The null hypothesis is [tex]H_o :\mu_ d=0[/tex]
The alternative hypothesis is [tex]H_a :\mu_ d \ne 0[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 - 2[/tex]
Here [tex]n_1[/tex] is the sample size of father which is [tex]n_1 = 11[/tex]
[tex]n_2[/tex] is the sample size of males who are at least 18 years old which is [tex]n_2 = 11[/tex]
So
[tex]df = 11 + 11 - 2[/tex]
=> [tex]df = 20[/tex]
Generally the critical values of α=0.05 from the t- distribution table at a degree of freedom of [tex]df = 20[/tex] for a two -tailed test is
[tex]t_{0.05 , 20 } = \pm 2.08596345 [/tex]
From the value obtained we see that the critical value is within the region of rejection hence
The decision rule is
Reject the null hypothesis
The conclusion is
The conclusion of the hypothesis test is that there is sufficient evidence to suggest that the heights of males between generations are different.
On the beach boardwalk there are 20 different places to get food 20% of them are ice cream shops how many ice cream Shoppe’s are in the park
Answer:
( 4 )
Step-by-step explanation:
Hope this helps
also go to g-mail to check out my
Type in Brandon Acevedo
okay
Helppppp plsss?!?!?!?!?!
Answer:
153.86
Step-by-step explanation:
3.14 x 7 x 7=153.86
Which of the following subsets of ℝ3×3 are subspaces of ℝ3×3? A. The 3×3 matrices of rank 2 B. The 3×3 matrices in reduced row-echelon form C. The 3×3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries) D. The diagonal 3×3 matrices E. The 3×3 matrices with all zeros in the second row F. The invertible 3×3 matrices
Answer:
The answer is "Option C, Option D, and Option E".
Step-by-step explanation:
In point, A: Its matrix (aA+bB) for A, B matrices of rank 2 is not always of rank 2. for Rank(A+B) is smaller or equivalent to RankA+B.
In point B: The two matrices, A, B, and each entry is equal to or larger than zero. Then, take a = -1 = b, and so all entries (aA+bB) belong to the subset are less than or equal to Zero.hence.
In point C: We get the matrix (aA+bB) for A, B matrices with trace 0. Trace zero. (aA + bB) trace is (a×trace(A) + b×trace(B)) thus null.
In point D: For Both A and B, the matrix (aA+bB) is again diagonal for two diagonal matrices.
In point E: For Both A and B matrices, each insertion in second row zero will also have the second-row matrix (aA+bB) as zero.
In point F: In this case, A and B must become two reduced raw echelons, so that A+E is also a reduced raw shape.
HELP WITH 4. AND 5. Thanks in advance
Use the properties of logarithms to write the following expression as one logarithm.
3 ln(x) + 2 ln(y) − 4 ln(x + 1)
Please show your work and explain, I would like to learn how to complete this type of problem!
Answer:
Step-by-step explanation:
hi! the log properties say that when logs are multiplied as log(xy), they can be expanded and added like log(x)+log(y). when logs are divided like log(x/y), they can be expanded as log(x)-log(y). when the log has an exponent like log(x^y), the exponent can be added to the front of the log like ylog(x). we can use these properties for this problem.
ln(x^3)+ln(y^2)-ln((x+1)^4)
ln(x^3*y^2)-ln((x+1)^4)
[tex]ln(\frac{(x^3y^2)}{((x+1)^4)})[/tex]
She don't believe in shooting stars,
but she believe in shoes and cars
Answer:
This aint a question right?
but for some reason its funny
Step-by-step explanation:
hah my since of humor is broken i luaght at everything
I need help please help me out
Answer:
2821
Step-by-step explanation:
Uhm.. sorry if its wrong i'm not completely sure about it :/
Can someone help pls :)
Answer:
21,42,63,84,105
Step-by-step explanation:
Answer:
21x1=21
21x2=42
21x3=63
21x4= 84
21x5=105
Step-by-step explanation:
A circle has a diameter of 60m. What is its circumference?
The length of a rectangle is three times the width of the rectangle. The area of the rectangle is 48cm2. Draw the rectangle on the centimetre grid.
Answer:
The width is 4 cm
The length is 12 cm.
Step-by-step explanation:
Area of a rectangle
Given a rectangle of width W and length L, its area is calculated as follows:
[tex]A=W\cdot L[/tex]
The area of the given rectangle is 48 cm^2, and the length is three times the width, thus:
L = 3W
Substituting into the formula of the area:
[tex]W\cdot L=48[/tex]
[tex]W\cdot 3W=48[/tex]
Simplifying:
[tex]3W^2=48[/tex]
Solving:
[tex]W^2=48/3=16[/tex]
[tex]W=\sqrt{16}=4[/tex]
The width is 4 cm. Find the length:
L=3W=3*4= 12
The length is 12 cm.
The image attached shows the rectangle on the centimeter grid
HELP ASAP Members of the school orchestra are organizing a trip to a concert. If tickets cost $14 each, how many tickets can be purchased with $500? please show work i will make you brainlist
Answer:
you can have 35 tickets
Step-by-step explanation:
I will give brainliest :)
Which equation represents this tape diagram?
44
• 4x+3x=44
• 4+(3+x) = 44
• 4(3+x)=44
• 4x+3=44
Find the length of the side x in simplest radical form with a rational denominator.
Answer:
2.449489743
Step-by-step explanation:
Benny has a basket of 5 red balls, 3 yellow balls, and 2 green balls. He will pick one
ball at random. What is the probability that the next ball he randomly chooses will be
red or green?
Type the answer in the box as a fraction in simplest form.
Answer:
7/11 green or red balls
Step-by-step explanation:
5 + 3 + 2 = 11 = whole basket
5 + 2 = 7 = red + green
probability = 7 / 11 balls
Hope this helps!
The probability that the next ball he randomly chooses will be red or green is 7/10
ProbabilityFrom the question, we are to determine the probability that the next ball Benny randomly chooses will be red or green
From the given information,
Benny has a basket of 5 red balls, 3 yellow balls, and 2 green balls
∴ Total number of possible outcome = 5 + 3 + 2 = 10
Now we will determine the probability of picking red
Using the formula,
[tex]P(A) = \frac{Number\ of\ favourable\ outcome\ to\ A}{Total\ number\ of\ favourable\ outcomes}[/tex]
∴ [tex]P(R) = \frac{5}{10}[/tex]
For the probability of picking green
[tex]P(G) = \frac{2}{10}[/tex]
Then, the probability of red or green is
∴ [tex]P(R \ or \ G) = \frac{5}{10} + \frac{2}{10}[/tex]
[tex]P(R \ or \ G) = \frac{7}{10}[/tex]
Hence, the probability that the next ball he randomly chooses will be red or green is 7/10
Lear more on Probaility here: https://brainly.com/question/251701
#SPJ 2
Which of the following equations does NOT have a soulution of x=o.5 ? 10x – 5 = -2x + 1
-2x + 6 = -6x + 8
-5x + 10 = x + 7
3x + 3 = -2x + 13
YOU ARE GIVEN AN APPLE AS A WEAPON...WHAT DO YOU DO NEXT?
(A) Keep the doctor away?
(B) Throw it hard enough to keep people away
DAILY DOSE OF MEMES TRY NOT TO OD PEEEPS
Answer:
a
Step-by-step explanation:
If you make your enemy's doctor away he will die of sickness