Answer:
The appropriate null hypothesis is [tex]H_0: \mu = 22.6[/tex]
The appropriate alternative hypothesis is [tex]H_1: \mu < 22.6[/tex]
Step-by-step explanation:
The average car had a fuel economy of 22.6 MPG. Test if the current average is less than this.
At the null hypothesis, we test if the current average is still of 22.6 MPG, that is:
[tex]H_0: \mu = 22.6[/tex]
At the alternative hypothesis, we test if the current mean has decreased, that is, if it is less than 22.6 MPG. So
[tex]H_1: \mu < 22.6[/tex]
describe an experiment to determine convection currents in water
Answer:
When you boil water heat transfer takes place and the heat gets transferred to the water from the stove ( could be considered conduction or radiation), and when the heat is transferred to the water the cold water sinks whereas the hot water rises this rapid movement of convection is called convection currents.
Hope I helped :)
A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If 35 of the salads sold were Caesar salads, how many total salads did the restaurant sell?
Answer:
50
Step-by-step explanation:
From the circle graph :
Salad sold :
Caesar = 70%
Garden = 16%
Taco = 14%
If 35 of the salad sold were Caesar ;
Then ; this means
70% = 35
Total salad sold %= (70+16+14)% = 100%
Let total sales = x
70% = 35
100% = x
Cross multiply :
70% * x = 100% * 35
0.7x = 35
x = 35 / 0.7
x = 50
What term number will have 400 square in it?
Answer:
400^2 = 160 000
Step-by-step explanation:
The square of a number means the product of a number by itself, while the perfect square ... For example, the number 9 is a perfect square because it can be expressed as a product of ... A square football pitch has a perimeter of 400 meters.
A field currently holds 20 tulips. The number of tulips will grow by 70% each year. The field can only sustain 300 plants. Use th logistic growth model to predict the population in the next 3 years,
Answer: [tex]98.26[/tex]
Step-by-step explanation:
Given
Current population of tulips is 20
Each year it grows 70%
Field can sustain 300 tulips
After 1 year population becomes
[tex]\Rightarrow 20(1+70\%)\\\Rightarrow 20(1.7)\\\Rightarrow 34[/tex]
after 2 years it is
[tex]\Rightarrow 34(1+0.7)\\\Rightarrow 34\times 1.7\\\Rightarrow 57.8[/tex]
After 3 years
[tex]\Rightarrow 57.8(1+0.7)\\\Rightarrow 98.26[/tex]
after n years, the tulips becomes
[tex]\Rightarrow 20(1.7)^n[/tex]
There are five nickels and four dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then you randomly pick another coin. Both coins are nickels.
X 5.2.24-E Question Help Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes. If 15 adult smartphone users are randomly selected, find the probability that fewer than 5 of them use their smartphones in meetings or classes. The probability is (Type an integer or decimal rounded to four decimal places as needed)
Answer:
Step-by-step explanation:
la probabilidad es del 60%
Equivalen
What number could replace t below?
1/3 t/6
Answer:
[tex]{ \tt{ \frac{1}{3} = \frac{t}{6} }} \\ \\ { \tt{t = \frac{6}{3} }} \\ \\ { \bf{t = 2}} \\ { \tt{2 \: could \: replace \: t}}[/tex]
Please look Below!!!!
(No links) Please explain.
Answer:
The surface area of the cylinder is about 954.56 square inches.
Step-by-step explanation:
The total surface area of a cylinder is given by the formula:
[tex]SA=2\pi r^2 + 2\pi rh[/tex]
Here, we are given that the radius is 8 inches and that the height is 11 inches. We are also using 3.14 for π. So, substitute:
[tex]SA\approx 2(3.14)(8)^2+2(3.14)(8)(11)[/tex]
Use a calculator:
[tex]SA\approx 954.56\text{ in}^2[/tex]
The surface area of the cylinder is about 954.56 square inches.
Nguyên Lý kế Toán 2
mong mọi người giúp đỡ
Step-by-step explanation:
Finding the (maximum) respective prime powers would yield the answer. Also we need not ... Is perfectly divisible by 720^n? ... So we can say that for any positive value of n it not divisible.
PLEASE HELP ME!!!
A bag contains 10 marbles. Four of
them are red, three blue, two white,
and one yellow. A marble is drawn at
random. What is the probability that it
is not white? Be sure to reduce.
[? ]
Answer:
4/5
Step-by-step explanation:
There are a total of 10 marbles. Out of those 10 marbles, 8 of them are NOT white. Therefore, the probability of getting a marble that is not white is 8/10 = 4/5.
The probability that a randomly drawn marble is not white is 4/5.
To find the probability that a randomly drawn marble is not white, we need to determine the number of non-white marbles and divide it by the total number of marbles.
In the given bag, there are 10 marbles in total, and 2 of them are white. Therefore, there are 10 - 2 = 8 non-white marbles.
The probability of drawing a non-white marble can be calculated as:
Probability = Number of non-white marbles / Total number of marbles
= 8 / 10
= 4 / 5
Therefore, the probability that a randomly drawn marble is not white is 4/5.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ4
help plz...
what are the missing proof
A. Substitution; converse of diagonals theorem
B. Sum of interior angles; converse of opposite angles theorem
C. Substitution, converse of opposite angles theorem
D. Sum of interior angles; converse of diagonals theorem
I think it's between B and C
Answer:
B. Sum of interior angles; converse of opposite angles theorem
Step-by-step explanation:
In statement 1, all the interior angles of the quadrilateral are added to give a sum of 360°. The reason would therefore be "sum of interior angles".
As a follow up to the already established fact that the opposite angles of the quadrilateral are congruent to each other, this satisfies the Converse of Opposite Angles Theorem, which states that if the opposite angles of a quadrilateral are congruent to each other then the quadrilateral must be a parallelogram.
Reason for the statement in number 6 is definitely "converse of opposite angles theorem."
I can’t figure it out!! Please help!
can someone PLEASE help me solve this equation ? due soon
[tex]\sf{Given : 3tanx + 7 = \dfrac{2}{(1 - sinx)(1 + sinx)}}[/tex]
We know that : (a - b)(a + b) = a² - b²
[tex]\implies \sf{3tanx + 7 = \dfrac{2}{1 - sin^2x}}[/tex]
We know that : 1 - sin²x = cos²x
[tex]\implies \sf{3tanx + 7 = \dfrac{2}{cos^2x}}[/tex]
[tex]\sf{\bigstar \ \ We \ know \ that : \boxed{\sf{\dfrac{1}{cos^2x} = sec^2x}}}[/tex]
[tex]\implies \sf{3tanx + 7 = 2sec^2x}[/tex]
We know that : sec²x = 1 + tan²x
[tex]\implies \sf{3tanx + 7 =2(1 + tan^2x)}[/tex]
[tex]\implies \sf{2 + 2tan^2x - 3 tanx - 7 = 0}[/tex]
[tex]\implies \sf{2tan^2x - 3 tanx - 5 = 0}[/tex]
[tex]\implies \sf{2tan^2x - 5tanx + 2tanx - 5 = 0}[/tex]
[tex]\implies \sf{2tanx(tanx + 1) - 5(tanx + 1) = 0}[/tex]
[tex]\implies \sf{(tanx + 1)(2tanx - 5) = 0}[/tex]
[tex]\implies \sf{tanx = -1 \ (or) \ tanx = \dfrac{5}{2} }[/tex]
Write the equation of the line passing through the point (−3,−4) that is perpendicular to y=8/3x+5.
Answer:
y = -3/8x -41/8
Step-by-step explanation:
Perpendicular lines intersect at 90° and their slopes are opposite reciprocals.
Therefore the slope changes from 8/3 to -3/8.
Now we must solve for the new y-intercept (b) by plugging in the given coordinate (-3,-4).
The result is b = -41/8 so our new equation is:
y = -3/8x -41/8
please help me please!!!!
Answer:
A) angle ACD
B) angle CBA
C) angle ACB
D) angle EBD and angle DBA
E) MDB and CDA
F)DBA
Step-by-step explanation:
Insta: lankey.t
PLEASE HELP FAST I NEED HELP WITH THIS!
Answer:
Step-by-step explanation:
13. Find the total number of coinsss
8+4+3+1
=16
First pick:
1/16
Second pick:
1/15
So I guess your chances are 1/16+1/15 ?
=31/240
hopefully
14.
add the sockss
3+4+3
= 10
First pick
1/10
Second Pick
1/9
Add them:
19/90
Forgive me if this is wrong
:,)
Which of the following is not a property of zero?
Answer:
D is not correct
Step-by-step explanation:
"If you add zero to a number, the answer will be that same number" is incorrect
Answer: Option
2 (or B)
Step-by-step explanation:
You can't divide by 0.
Find the values of x,y and z
Step-by-step explanation:
x = 180-106 = 74°
y = x/2 = 74/2 = 37°
4z+6 =106
4z = 100
z = 25°
PLEASE HELP ME!!!!
Find the expected value of the winnings
from a game that has the following
payout probability distribution:
6 8
10
Payout ($) 0 4
Probability 0.5 0.2 0.15 0.1 0.05
Expected Value = [?]
Round to the nearest hundredth.
Answer:
3.00
Step-by-step explanation:
Given that :
Payout(X) : ___ 0 ___ 4 ___ 6 ____ 8 _____ 10
Probability (p(x) 0.5 _ 0.2 __0.15 __0.1 ___ 0.05
Expected value :E(X) = ΣX* p(x)
E(X) = (0*0.5) + (4*0.2) + (6*0.15) + (8*0.1) + (10*0.05)
E(X) = 3
Expected value = 3.00
The work shows how to use long division to find (x2 + 3x –9) ÷ (x – 2).
Answer:
x+5+\frac{1}{x-2}
X + 5 + 1/( x - 2)
Step-by-step explanation:
I would recomend using Symbolab to help you understand math like this in an easy step-by-step manner. It will take a while to explain so you can see how to solve these problems through that!
There were 3450 previously owned homes sold in eastern Washington in the year 2010. The distribution of the sales prices of these homes was as strongly right-skewed with a mean of $406,274 and a standard deviation of $49,981. If all possible simple random samples of size 200 are drawn from this population and the mean is computed for each of these samples which of the following describes the sampling distribution of the sample mean?
a. Right skewed with mean of $406,274 and standard deviation of $49,981.
b. Approximately normal with mean $406,274 and standard deviation$249
c. Approximately normal with mean of $406,274 and standard deviation of $49,981.
d. Right skewed with mean of $406,274 and standard deviation $3534
e. Approximately normal with mean of $406,274 and standard deviation $3534
Answer:
e. Approximately normal with mean of $406,274 and standard deviation $3534
Step-by-step explanation:
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean 'μ' and standard deviation 'σ' , the sampling distribution of the sample means with size 'n' can be approximated to a normal distribution with mean 'μ' and standard deviation s= σ / √n .Given,The distribution of the sales prices of these homes was as strongly right-skewed with a mean of $406,274 and a standard deviation of $49,981 & Sample of Size 200 Are Drawn .
Now, By the Central Limit Theorem, the approximately normal Mean is $406,274 .
And,
Standard deviation ⇒ s= σ / √n ⇒ $49981 / [tex]\sqrt{200}[/tex]
⇒ $49981 / 10×√2 ⇒ $4998.1 / √2 ⇔ $3534.72 ≈ $3534
Find the value of x to the nearest tenth.
Answer:
x = 3
Step-by-step explanation:
Remark
Find the hypotenuse of the triangle. That is also the length of the rectangle.
Then use Pythagoras to find x.
Givens and solution
two sides of the triangle both = to 6
Find the base of the triangle which is also the length of the rectangle. Call the base = y
6^2 + 6^2 = y^2
36 + 36 = y^2
y^2 = 72
sqrt(y^2) = sqrt(72)
y = 8.4853
Transfer x to the opposite side of the rectangle.
x^2 = diagonal^2 - y^2
x^2 = 9^2 - y^2
x^2 = 81 - 72
x^2 = 9
sqrt(x^2)= sqrt(9)
x = 3
Complete the problems in measurements. Show answers in simplest terms.
b. Allan has 5 boxes of baseballs. Each box contains 2 dozen balls. He wants to divide the balls between 6 teams. How many balls will each team receive?
Answer:
20 balls to each team
Step-by-step explanation:
If 5 boxes contains 2 dozens
And 2 dozens= 24
Multiply boxes by dozens of balls
5×24=120
Then to share, you divide it buy the number of teams
120÷6= 20 balls
Which of the following is an example of a conditional statement?
Answer:
The correct answer is A, If I practice football, then I will improve.
Solve for x.
4
15
6
X
x = [?]
Enter the number in decimal form
Answer:
66
Step-by-step explanation:
x / 6 + 4 = 15
To find x ;
Subtrac4 from both sides
x / 6 + 4 - 4 = 15 - 4
x / 6 = 11
Multiply both sides by 6
x / 6 * 6 = 11 * 6
x = 66
Value of x = 66
A spinner has an equal chance of landing on each of its six numbered regions. After spinning it, what are the chances it lands in region 2 or 4?
Answer:
33 1/3% or 1/3
Step-by-step explanation:
Possible outcomes = 6
Favourable outcomes = 2
2/6 = 1/3 = 33 1/3%
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
When setting the temperature of a refrigerator, is -1 or -5 the coldest!
Answer:
-5 is the answer
Step-by-step explanation:
Answer:
-5 corresponds to the coldest temperature here.
Step-by-step explanation:
-5 is to the left of -1 on a number line and is therefore smaller than -1.
In 2003, 520,000 acres of farmland in a region were devoted to growing nuts. By 2012 ,the number of acres used to grow nuts had increased 820,000.Find the average rate of change in the number of acres in a region used to grow nuts from 2003 to 2012.
Answer:
Average rate of change = 33,333.33acre per year
Step-by-step explanation:
Given:
Farm land in 2003 = 520,000 acre
Farm land in 2012 = 820,000 acre
Find:
Average rate of change
Computation;
Number of year = 2012 - 2003
Number of year = 9 year
Average rate of change = [Farm land in 2012 - Farm land in 2003] / Number of year
Average rate of change = [820,000 - 520,000] / 9
Average rate of change = [300,000] / 9
Average rate of change = 33,333.33acre per year
cos(34) = 8/j i need the answer of the question
Answer:
j = 9.65
Step-by-step explanation:
[tex]\frac{8}{cos(34)}[/tex] = j
j = 9.649743588... (round as needed)
What is the area of the triangle
Answer:
45.1 km^2
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
formula of area of the triangle mean 1/2 of bh
so the answer is 45.1
Step-by-step explanation:
[tex]base \: = 11km \\ height = 8.5km \\ area = let(x) \\ so \\ x = \frac{1}{2}bh \\ \: = \frac{1}{2} \times 11 \times 8.5 \\ \ = {1}{2} \times 90.2km \\ = 40.5km[/tex]
thank me later!!