Answer:
y = 50
Step-by-step explanation:
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other.
Multiply 4 to both sides of the equation:
y/4 = 12.5
(y/4)(4) = (12.5)(4)
y = 12.5 * 4
y = 50
y = 50 is your answer.
~
Let x be a discrete random variable that possesses a binomial distribution with n=5 and p=0.87. What are the mean and standard deviation of this probability distribution? Round your answers to three decimal places, if required.
Answer:
[tex]Mean = 4.35[/tex]
[tex]SD = 0.5655[/tex]
Step-by-step explanation:
Given
[tex]n = 5[/tex]
[tex]p = 0.87[/tex]
Solving (a): Mean
[tex]Mean = np[/tex]
[tex]Mean = 5 * 0.87[/tex]
[tex]Mean = 4.35[/tex]
Solving (b): Standard Deviation (SD)
[tex]SD = np(1 - p)[/tex]
[tex]SD = 5 * 0.87(1 - 0.87)[/tex]
[tex]SD = 5 * 0.87 * 0.13[/tex]
[tex]SD = 0.5655[/tex]
Whats 28,456 +92 / 2 * 8 + 3?
Answer:
37485947
Step-by-step explanation:
Answer:
I think that the answer is 28827
.............................
A conjecture and the flowchart proof used to prove the conjecture are shown.
Given: AB¯¯¯¯¯∥XC−→−
Prove: m∠1+m∠2+m∠3=180°
A triangle with vertices labeled as A B and C. The interior angle C A B is labeled as 2, angle A C B is labeled as 1, and angle C B A is labeled as 3. Line X passes through upper vertex C and forms three angles. The interior angles are labeled as angle 4 and angle 5.
Drag and drop a statement to each box to complete the proof.
Answer:
1.)Angle Addition Postulate
2.)Alternate interior Angle Theorem
3.)m/_1+m/_2+m/_
Step-by-step explanation:
I took the test
Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.
Answer:
x is 28
Step-by-step explanation:
When two lines intersected in a point, then they formed two pairs of vertically opposite angles. The vertically opposite angles are equal in measures
Let us solve our question
∵ AB and CD are straight lines intersected at O
∴ ∠AOC and ∠DOB are vertically opposite angles
∴ ∠AOD and ∠COB are vertically opposite angles
→ The vertically opposite angles are equal in measures
∴ m∠AOC = m∠DOB
∴ m∠COB = m∠AOD
→ ∠ COB is formed from ∠COE, ∠EOF, and ∠FOB
∵ m∠COB = m∠COE + m∠EOF + m∠FOB
∵ m∠COE = 3x, m∠EOF = x, m∠FOB = x + 12
∴ m∠COB = 3x + x + x + 12
→ Add the like terms
∴ m∠COB = 5x + 12
∵ m∠AOD = 152°
∵ m∠COB = m∠AOD
∴ 5x + 12 = 152
→ Subtract 12 from both sides
∴ 5x + 12 - 12 = 152 - 12
∴ 5x = 140
→ Divide both sides by 5
∴ [tex]\frac{5x}{5}=\frac{140}{5}[/tex]
∴ x = 28
→ To justify the solution substitute x by 28 in m∠COB the answer must
be 152°
∵ m∠COB = 5x + 12
∵ x = 28
∴ m∠COB = 5(28) + 12
∴ m∠COB = 140 + 12
∴ m∠COB = 152°
∴ The value of x is correct
please help it's due in a couple of min
Answer:
i hope this helps but the slopes are y = 4/3x + 12 and y = 6/5
The width of a rectangle is 1.8 meters. The perimeter is 6.6 meters. What is the length? Provide your answer below:
Answer:
perimeter =2(l+w)
6.6=2(l + 1.8)
6.6= 2L + 3.6
L=3/2 =1.5
ans =1.5
What is 5x + 4y = 10
Answer:
x=2 - 4y/5
y = 5/2 − 5x/4
Step-by-step explanation:
I don't know what you are asking for specifically, but here is both!!
If x = -6, which inequality is true?
A-5 - 3x > 10
B-3-5x < -14
C 1-2x > 13
D 2-X<-3
Answer:
A. -5 - 3x >10
Step-by-step explanation:
-5 - 3(-6) >10
-5 + 18 >10
13 >10
Suppose that the scores on a reading ability test are normally distributed with a mean of and a standard deviation of . What proportion of individuals score more than points on this test? Round your answer to at least four decimal places.
Answer:
The proportion of individuals score at most 74 points on this test is 70%.
Step-by-step explanation:
The complete question is:
Suppose that the scores on a reading ability test are normally distributed with a mean of 70 and a standard deviation of 8. What proportion of individuals score at most 74 points on this test? Round your answer to at least four decimal places.
Solution:
Let X represent the scores on a reading ability test.
It is provided that [tex]X\sim N(70,8^{2})[/tex].
Compute the probability that an individuals score is at most 74 points on this test as follows:
[tex]P(X\leq 74)=P(\frac{X-\mu}{\sigma}\leq \frac{74-70}{8})[/tex]
[tex]=P(Z<0.50)\\=0.69146\\\approx 0.70[/tex]
Thus, the proportion of individuals score at most 74 points on this test is 70%.
3/4of 16/27/23/14+12/18 using bodmas rule
The formula I = PRT where I = Interest, P = Principal, R = rate, and T = Time is used to calculate the amount of simple interest earned, solve this formula for T
I = PRT
Divide both sides by PR
I/(PR) = T
Barkery’s Bakery sold 20 dog cakes during Week 1 of operation, 27 dog cakes during Week 2, and 34 dog cakes
during Week 3.
a. If this pattern continues, represent the first five
terms of the sequence using a table of values.
Answer:
Week 1 - 20
Week 2 - 27
Week 3- 34
Week 4 - 41
Week 5 - 48
Etc, etc,...
Step-by-step explanation:
The values increase by 7 each week.
In 1980, the number of high school dropouts in a country was 5217 thousand. By 2008, this number had decreased to 3120 thousand. Find and interpret the average rate of change
per year in the number of high school dropouts.
Answer:
74893 students per year
Step-by-step explanation:
The Average rate of change is calculated as
= Difference in number of students / Difference in years
= 3120 thousand - 5217 thousands/ 2008 - 1980
= (3120000 - 5217000)/(2008 - 1980)
= -2097000/28
= -74892.857143 per year
Therefore, the average rate of change
per year in the number of high school dropouts is approximately 74893 students per year
Suppose you are working with a data set that is normally distributed, with a mean of 350 and a standard deviation of 48. Determine the value of x from the following information.
a. 70% of the values are greater than x.
b. x is less than 10% of the values.
c. 24% of the values are less than x.
d. x is greater than 60% of the values.
Answer:
324.848
288.464
316.112
337.856
Step-by-step explanation:
Given that :
Mean (m) = 350
Standard deviation (σ) = 48
Determine the value of x for the following :
Using the z probability calculator :
a.) 70% of the values are greater than x.
1 - 0.7 = 0.3
P(x < 30%) = P(x < 0.3) = - 0.524 = z
Z = (x - m) / σ
x = (z * σ) + m
X = (- 0.524 * 48) + 350 = 324.848
b.) x is less than 10% of the values.
P(x < 0.1) = - 1.282 = z
X = (- 1.282 * 48) + 350 = 288.464
C.) 24% of the values are less than x
P(x < 0.24) = - 0.706 = z
X = (- 0.706 * 48) + 350 = 316.112
D.) x is greater than 60% of the values
P(x > 0.6) = -0.253 = z
X = (- 0.253 * 48) + 350 = 337.856
4. What is 44% of 35?
Answer:
15.4
Step-by-step explanation:
35 x 0.44 = 15.4
If one angle of a set of alternate interior angles on parallel lines measures 77°, then the other angle also equals 77° _____.
always
sometimes
never
Answer:
I think is sometimes
Step-by-step explanation:
Answer:
The answer is always
Researchers Wilt et al. (New England Journal of Medicine, 2012) investigated whether surgery, compared to just observation, was (more) effective in improving men’s survival chances after being diagnosed with prostate cancer. The researchers identified 731 men with localized prostate cancer who volunteered to participate. They randomly assigned 364 men to surgery and the remaining 367 to observation. All participants were followed for about 10 years. In those 10 years, 21 surgery recipients died of prostate cancer related reasons compared to 31 observation recipients.
1. Identify the observational units.
A. Men.
B. Men with prostate cancer.
C. Men with prostate cance.
D. Men with prostate cancer who received observation r who underwent surgery.
2. What type of study is this?
A. Experiment.
B. Observational study.
3. What is the primary purpose of random assignment in this type of study?
A. To ensure that subjects are representative of the popu lation of interest.
B. To ensure that the groups are of equal sizes.
C. To create treatment groups that are alike in all aspects zes except for the treatment administered.
D. To improve accuracy of results.
4. Identify the explanatory variable.
A. Whether or not man dies of prostate cancer related reasons.
B. Whether or not man undergoes surgery.
C. Percentage of men who die of prostate cancer related reasons.
D. The number o f men who undergo surgery and the number of men who are just observed.
5. Identify the response variable.
Answer:
(1) B
(2) A
(3) C
(4) B
Step-by-step explanation:
(1)
The observational units in this study are the men with prostate cancer.
(2)
As the study involves a treatment and a control group, it is an experimental study.
(3)
The primary purpose of random assignment in this type of study is to create treatment groups that are alike in all aspects except for the treatment administered.
(4)
The explanatory variable or the independent variable, is the variable that is altered to observe the changes in the dependent variable.
The explanatory variable in this case is whether or not man undergoes surgery.
(5)
The response variable or the dependent variable is the variable that is being observed for any changes for the given treatments.
The response variable in this case is whether or not man dies of prostate cancer related reasons.
How many units is -9 from zero on the number line?
Select one:
A. 9
B. - 9
C. 0
D. 18
Answer:
A
it is asking for its absolute value
Step-by-step explanation:
Andrew owns a food truck that sells tacos and burritos. He only has enough ingredients to make 113 tacos or burritos.Write an inequality that could represent the possible values for the number of tacos sold, tt, and the number of burritos sold, bb, that would satisfy the constraint.
Answer:
heres the actual answer.
Step-by-step explanation:
The age of A is 4 years more than that of B. Four years ago, the ratio of their ages was 3: 2. Find their present ages.
Answer:
Present age of A = 16 years
Present age of B = 12 years
Step-by-step explanation:
Let the age of B be x years.
Therefore, age of A = (x + 4) years
Four years ago:
Age of A = (x + 4 - 4) = x years
Age of B = (x - 4) years
According to the given information:
[tex] \frac{x}{x - 4} = \frac{3}{2} \\ \\ 2x = 3(x - 4) \\ \\ 2x = 3x - 12 \\ \\ 2x - 3x = - 12 \\ \\ - x = - 12 \\ \\ x = 12 \\ \\ x + 4 = 12 + 4 = 16 \\ \\ present \: age \: of \: a = 16 \: yeras \\ \\ present \: age \: of \: b = 12 \: years \\ [/tex]
Solve −3x=2x2−4
using the Quadratic Formula.
Answer:
-3x= 2×2-4
Step-by-step explanation:
-3x= 4-4
-3x= 0
divide both sides by the co-efficient of x
-3x/-3= 0÷-3
x= 0/-3x = 0
The solution of the quadratic equation 2x² + 3x − 4 = 0 will be 2.35 and negative 0.85.
What are the roots of the equation?Let the equation be ax² + bx + c = 0. Then the roots of the equation will be given as,
[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}[/tex]
The equation is given below.
−3x = 2x² − 4
Simplify the equation, then we have
2x² − 4 = −3x
2x² + 3x − 4 = 0
Then the roots of the equation are given as,
x = [3 ± √(3² - 4 · 2 · (-4))] / (2 · 2)
x = (3 ± 6.403) / 4
x = 2.35, -0.85
The solution of the quadratic equation 2x² + 3x − 4 = 0 will be 2.35 and negative 0.85.
More about the roots of the equation link is given below.
https://brainly.com/question/12029673
#SPJ2
What is the answer for number five
Answer:
Can you write it down i could help but i cant see the link
Step-by-step explanation:
Answer:
FULL SEND imma say A but I honestly have no idea lol
Step-by-step explanation:
Please help!!!
thanks
Answer:
11. 92- corresponding angles theorem
12. 92- vertical angles theorem
13. 88- ???
14. 106- same side interior angles theorem
15. 106- supplementary angles theorem (not sure about the reasoning)
16. 106- supplementary angles theorem (not sure about the reasoning)
2.) Determine the number of items Saydee produces
per hour, if she works 40 hours a week and produces
5,237 items.
what is the measure of each angle
Answer:
60 degrees
Step-by-step explanation:
60 degrees because all sides are equal and 180/3 is 60.
Evaluate your expression to find the number of scoops Zack needs. I WILL MAKE BRAINLIEST IF RIGHT!!!!!!!!!!!!
Answer:
2 1/2 beacuse he needs 1 1/4 for one feeder
Step-by-step explanation:
Heeeeeeeeeeeeeeelllllllllllllpppppppppp
Answer: She must wash at least 13 cars
Therefore, Grace must wash at least 13 cars in order to have $65 in spending money
Use trigonometric identities to transform the left side of the equation into the right side (0 < θ < π/2). Fill in the blank tan θ cot θ = 1 tan θ cot θ = sin θ/cos θ * blank/sin θ = 1
Answer:
Cosθ
Step-by-step explanation:
Given the trigonometry identity:
tan θ cot θ = 1, to transform this identity, we need to write in terms of sinθ and cosθ as shown;
In trig:
tanθ = sinθ/cosθ
cotθ = 1/tanθ
1/tanθ = 1/(sinθ/cosθ)
1/tanθ = cosθ/sinθ
Hence cotθ = cosθ/sinθ
Substitute the expression for tanθ and cotθ into the expression in question
tan θ cot θ = 1
sinθ/cosθ*cosθ/sinθ = 1
Comparing the gotten expression with
sin θ/cos θ * blank/sin θ = 1 we can dee that the blank is cosθ
Hence the correct answer is cosθ
The identity which should be filled into the blank is cos θ.
Trigonometric identities;From trigonometric identities; we know;
tan θ = sin θ/cos θ cot θ = cos θ/sin θ .Ultimately, sin θ/cos θ × cos θ/sin θ = 1.
Therefore, the missing identity is cos θ.
Read more on trigonometric identities;
https://brainly.com/question/7331447
How many pounds are in 80 kilograms? Round your answer to the nearest whole number. Note: There are approximately 2.2lbs in a kg.
Answer:
176.37 orrrr 176
Step-by-step explanation:
Answer:
176 pounds
Step-by-step explanation:
Eight less than a number is negative eighteen. What is the number?
Answer:
-10
Step-by-step explanation:
n - 8 = -18
n = -10
Negative 10
Or -10
Eight more than -18 is -10