5(y-10) = -5 solve...
Answer:
y=9
Step-by-step explanation:
5(y-10)=-5
5y-50=-5
+50 +50
5y=45
/5 /5
y=9
State the null hypothesis H0 and the alternative hypothesis Ha in each case. Be sure to identify the parameters that you use to state the hypotheses.
(a) A university gives credit in first-year calculus to students who pass a placement test. The mathematics department wants to know if students who get credit in this way differ in their success with second-year calculus. Scores in second-year calculus are scaled so the average each year is equivalent to a 75. This year 17students who took second-year calculus passed the placement test.
H0:μ>75;Ha:μ=75
H0:μ<75;Ha:μ=75
H0:μ=17;Ha:μ>17
H0:μ=17;Ha:μ≠17
(b) Experiments on learning in animals sometimes measure how long it takes a mouse to find its way through a maze. The mean time is 24 seconds for one particular maze. A researcher thinks that playing rap music will cause the mice to complete the maze slower. She measures how long each of 17 mice takes with the rap music as a stimulus.
H0:μ=24sec;Ha:μ>24sec
H0:μ=24sec;Ha:μ≠24sec
H0:μ>17sec;Ha:μ=17sec
H0:μ=17sec;Ha:μ<17sec
H0:μ=24sec;Ha:μ<24sec
(c) The average square footage of one-bedroom apartments in a new student-housing development is advertised to be 850 square feet. A student group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion.
H0:μ=850ft2;Ha:μμ850ft2
H0:μ>850ft2;Ha:μ=850ft2
H0:μ=850ft2;Ha:μ>850ft2
H0:μ=850ft2;Ha:μ<850ft2
H0:μ<850ft2;Ha:μ=850ft2
Answer: (A)
[tex]H_0:\mu=75\\H_a:\mu\neq75[/tex]
(B)
[tex]H_0:\mu=24\ sec\\H_a:\mu>24\ sec[/tex]
(C)
[tex]H_0:\mu=850\ ft^2\\H_a:\mu<850 \ ft^2[/tex]
Step-by-step explanation:
Null hypothesis [tex](H_0)[/tex]: It is a statement showing population parameters as per the objective of the study. It generally takes "≤,≥,=" signs. Alternative hypothesis [tex](H_a)[/tex]: It is also a statement describing population parameters as per the objective of the study. It generally takes ">, <, ≠" signs.(A) Objective: Scores in second-year calculus are scaled so the average each year is equivalent to a 75 or not.
[tex]H_0:\mu=75\\H_a:\mu\neq75[/tex]
(B) Objective: The mean time is 24 seconds or more for one particular maze.
[tex]H_0:\mu=24\ sec\\H_a:\mu>24\ sec[/tex]
(C) Objective: The average square footage of one-bedroom apartments in a new student-housing development is advertised to be 850 square feet or smaller.
[tex]H_0:\mu=850\ ft^2\\H_a:\mu<850 \ ft^2[/tex]
A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 70 peaches per tree. A scientist wishes to find the 95% confidence interval for the mean number of peaches per tree. How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree
Answer:
She needs to sample 189 trees.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The standard deviation of the population is 70 peaches per tree.
This means that [tex]\sigma = 70[/tex]
How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?
She needs to sample n trees.
n is found when M = 10. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]10 = 1.96\frac{70}{\sqrt{n}}[/tex]
[tex]10\sqrt{n} = 1.96*70[/tex]
Dividing both sides by 10:
[tex]\sqrt{n} = 1.96*7[/tex]
[tex](\sqrt{n})^2 = (1.96*7)^2[/tex]
[tex]n = 188.2[/tex]
Rounding up:
She needs to sample 189 trees.
Find the areas of the sectors formed by ABC
Answer:
33.51 in^2
Step-by-step explanation:
Find the area of the circle:
A = πr^2
A = π * 8^2
A = 64π = 201.06 in^2
Find the area of the 60 deg slice:
A * 60/360 = 33.51 in^2
Leave a thanks and mark brainliest if this helped
Leave a thanks and mark brainliest if this helped
The square of a number decreased by ten times the number is negative nine.
Answer:
9 OR 1
Step-by-step explanation:
Let the number be x
x² - 10x = -9
x² - 10x + 9=0
a=1
b=-10
c=9
Solve using the quadratic formula
x =9 or 1
In a clinical trial, 780 participants suffering from high blood pressure were randomly assigned to one of three groups. Over a one-month period, the first group received the experimental drug, the second group received a placebo, and the third group received no treatment. The diastolic blood pressure of each participant was measured at the beginning and at the end of the period and the change in blood pressure was recorded. The average change in blood pressure was calculated for each of the three groups and the three averages were compared.
A. This was an experiment rather an observational study. How do we know that?
B. Identify the factors and levels.
C. Are all the principles of experimental design included in this experiment? Explain.
Answer:
A. We know that this was an experiment rather than an observational study because treatments were administered, with the first group receiving the experimental drug, the second group receiving a placebo, and the third group receiving no treatment."
B. The factors are the variables. The independent variable was group three that received no treatment, while the dependent variables were the first and second groups that received some treatments. Another variable is the change in blood pressure recorded at the end of the period.
The levels refer to the different treatments that were administered to the three groups: experimental drug, placebo, and no treatment.
C. The principles of experimental design are Randomization, Repetition, and Control. We are not aware of how the participants were chosen and this experiment was not replicated in the scenario. We can affirm that there is Control because the three groups were not given the same treatment.
Step-by-step explanation:
In an observation, the researcher does not attempt to change any variables. She simply observes and then records her observations. In an experimental study, the researcher creates a control group and, also at least, one testable group. The purpose is to compare the control group and the testable group.
What is the area of the trapezoid? A trapezoid has a base of 12 centimeters, a height of 16 centimeters, and a top side length of 10 centimeters.
Answer:
on edge its ur cool
Step-by-step explanation:
Find the mean of the data in the bar chart below. money in each persons piggy bank
Answer:
The chart is showing how much many is in each persons piggy bank.
Step-by-step explanation:
Just a heads up , The title at the top of the graph gives off all the answers as to what the graph is showing.
Answer: 10.5
Step-by-step explanation:
C a l c u l a t o r
also I tried it myself so thats even more proof :D
Question 1(Multiple Choice Worth 2 points)
(10.03 MC)
Select the sentence that correctly uses a prepositional phrase.
Andy in her backpack has extra supplies.
Around the corner. Belle spotted a lost dog.
Through her binoculars, Kathryn spotted a hawk.
Mika wore under her hiking boots thick wool sock
Answer:
i think the answer is c but im soo sorry if im wrong
Step-by-step explanation:
ein rechteckiger Bauplatz ist 39,5 m lang und 32,5 m breit . wie teuer ist der Grund ,wenn ein Quadratmeter Bauland 185,50 euro kostet???
So first you need to find the area of the building site which is:
length x width
39.5m x 32.5m
= 1283.75[tex]m^{2}[/tex]
We know that one square meter costs 185.50 euros.
1[tex]m^{2}[/tex] = 185.50 euros
1283.75[tex]m^{2}[/tex] = 238135.625 euros
I'm not exactly that familiar with euros but I'm pretty sure that euros don't have 3 numbers after the point so the two nearest numbers are 238134.86 and 238135.86.
sorry if this is wrong, but I hope it helps, if the euros part is wrong please correct me thanks!
Marisol rolled a six-sided number cube 200 times. Her results are in the table shown.
what is the experimental probability of Marisol rolling a 5? Answer the answer as a percent.
Answer:
18%
step by step explanation:
36/200 × 100=18
Answer:
3/10
Step-by-step explanation:
the answer is 3/10 hope this helps may i be marked brainliest?
HELP I WILL GIVE BRAINLY THING
Answer:
The answer is A.
Step-by-step explanation:
Hope this helps.
Question Help
A family buys 5 airline tickets online. The family buys travel insurance that costs $18 per ticket.
The total cost is $915. Let x represent the price of one ticket. Write an equation for the total cost.
Then find the price of one ticket.
Answer:
it would be
18 x 5x = 915
solve the equation
18 x 5 = 90
90x = 915
divide by 90
x =10.1666
Step-by-step explanation:
How many more sides does a decagon have than an octagon?
Answer:
2 more sides.
Step-by-step explanation:
Decagon = 10 sides
Octagon = 8 sides
The prefix Octa means 8 sides
example : Octa is in Octapus; and octopus have 8 legs or tentacles.
Answer:
2 sides.
Step-by-step explanation:
Correct me if I'm wrong but a decogon has 10 sides and an ogtagon has 8 sides so it might be 2.
g(x) = –24 + 2x3 + 5x2 - 1
End of behavior
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
[tex]bit.^{}ly/3dXyuz8[/tex]
Show on a number line 2/3 's?
Izara built a fence for her horses. The fence was 210 feet long. She put a fence post in the ground at the start of the fence and another fence post every 3 12 feet. Izara paid $8.50 for each fence post.
How much did Izara pay for all the fence posts she used?
A. $297.50
B. $518.50
C. $595.00
D. $765.00
What is the median of the dot plot for 4,6,6,7,9
Answer:
6
Step-by-step explanation:
6 is in the middle with 2 numbers on each side so it is the medium
graph the line by plotting any two ordered pairs that satisfy the equation.
[tex]y = \frac{4}{3} x - 4[/tex]
One of the ordered pairs must be Y Intercept.
Points to the person who explains step by step, start to finish. Please note the correct set of ordered pairs is not random x to get y, or random y to get x variables. I tried that already and it was marked wrong.
Answer:
(0,-4)
(3,0)
Step-by-step explanation:
Let start at the orgin.
This is a linear equation since the equation is in the form of
[tex]y = mx + b[/tex]
where m is the slope and b is the y intercept.
Since we starting at the orgin, and b is our y intercept.
Our first point is
(0,-4).
since the slope is 4/3.
We would rise 4 from the y value and run 3 to the x value.
In other words, to find your second point, go up 4 units from the first point and move to the right 3 units.
So our next point is at
(3,0).
U can continously go up 4 units and move 3 units to the right to find other points.
In a model based on a weakly dependent time series with serial correlation and strictly exogenous explanatory variables, _____. a. the feasible generalized least square estimates are BLUE b. the feasible generalized least square estimates are asymptotically more efficient than OLS estimates c. the feasible generalized least square estimates are unbiased d. the feasible generalized least square estimates are asymptotically less efficient than OLS estimat
Answer:
Option a (the feasible........BLUE) is the correct option.
Step-by-step explanation:
The association with a certain variable and perhaps a lagging representation with its own over time is termed as Serial correlation. OLS could even deliver skewed outcomes and can't thus be utilized attributable to serial correlation. GLS has always been then used that follows BLUE, in other words, GLS even though in this circumstance becomes an appropriate Unbiased Linear Estimator.The other alternatives are not related to the given scenario. So the above is the right option.
please help me attachment below
SOMEONE HELP ME PLS ASAP I WILL GIVE BRAINLIEST PROVE ABCD IS A PARALLELOGRAM
Answer:
It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"
Step-by-step explanation:
What is the distance between the points (-6, 2) and (-4, 7)? Round to the nearest tenth if necessary.
Answer:
The distance is 5.4.
Step-by-step explanation:
Hope this helps!! Have an Amazing day!!
Answer:
5.385
Step-by-step explanation:
Use the distance formula with (-6,2) (-4,7)
[tex]\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2 }[/tex]
[tex]\sqrt{(-4--6)^2 + (7-2)^2 }[/tex]
[tex]\sqrt{(2^2) + (5^2)}[/tex]
[tex]\sqrt{4+25}[/tex]
[tex]\sqrt{29}[/tex]
= 5.385
A fair coin is tossed 5 times. Compute the probability of tossing 5 heads in a row.
Answer:
50%
Step-by-step explanation:
There is 2 side out of 100% half is 50 :D gl and mb if its wrong!
Answer:
* Here we assume that the coin tossed is fair.
Probability of event A = # Favorable cases for event A/ # Exhaustive cases for event B
Where
Favorable cases means outcomes of an experiment that favors a particular event
Exhaustive cases means, number of total possible outcomes.
For tossing a coin one time:
# Favorable cases = 1 (getting head)
# Exhaustive cases = 2 (two outcomes, say, head and tail)
So, P(getting head in a single toss) = 1/2
For tossing a coin two times:
# Favorable cases = 1 (getting 2 heads, say, HH)
# Exhaustive cases = 2*2 or 2^2 (4 outcomes, say, HH, HT, TH, TT)
So, P(getting 2 heads in two tosses of a coin) = 1/4
Similarly, for tossing a coin five times:
# Favorable cases = 1 (getting 3 heads, say, HHHHH)
# Exhaustive cases = 2*2*2*2*2 or 2^5 (32 outcomes, say, HHHHH, THHHH, ..... etc)
So, P(getting head in 5 tosses of a coin) = 1/32
Step-by-step explanation:
To the nearest whole unit, what is the perimeter of triangle ABC?
6 units
8 units
14 units
16 units
Answer:
14 unit I think hope it helps
Hey guys its me fitzroywilliamsjr6
Answer:
hello
Step-by-step explanation:
Answer:
Here, nice to meet you! I'm Avocadorable! lolz ;)
what is the surface area? 4 mm. 4 mm
4 mm
Answer:
So its hard to tell if you want the answer to the SA of 4mm x 4mm x 4mm or the image but I did the mm one.
I got 9216 mm I wasn't sure if you need them converted to any other measurement.
What is 528 divided by 11?
Answer:
[tex]\sqrt[11]{528}[/tex]= 48
Step-by-step explanation:
[tex]\sqrt[11]{528}[/tex]= 48
48 x 11 = 528
Answer:
The answer is 48
Step-by-step explanation:
A rectangle is drawn at (-4,-2) (-1,-2) (-4,-4) and (-1,-4). What is the perimeter?
Answer:
12
Step-by-step explanation:
Cuál es la fracción equivalente decimal 0.01
Respuesta:
La fracción equivalente a 0.01 es 1/100.
