Answer:
[tex]\bold{P(A) =\dfrac{11}{20}}[/tex]
Step-by-step explanation:
A - an occurrence that Steve encounters the green light
number of all counted ligths: |Ω| = 20
number of counted green ligths: |A| = 11
Probability that Steve encounters a green light on any given day:
[tex]P(A) = \dfrac{|A|}{|\Omega|}=\dfrac{11}{20}[/tex]
sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the 0.025 significance level. H0: μ ≥ 220 H1: μ < 220 Is this a one- or two-tailed test? One-tailed test Two-tailed test
Answer: (upside down fancy u) q5
Step-by-step explanation:
Simply apply the law of conservative (upside down fancy u)
NEEEED HELPPPPP PLEASEEEEEE Use long division to find the quotient below.
(8x^2 + 4x^2 + 100) - (2x + 5)
Answer:
[tex]4x^2 - 8x + 20[/tex]
Step-by-step explanation:
The correct equation is:
[tex]8x^3 + 4x^2 + 100[/tex]
We want to divide that by (2x + 5)
To do the long division, divide each term by 2x and then subtract the product of the result and (2x + 5) from the remaining part of the equation.
When you get to 0, you have reached the end of the division.
Whatever term you get from each step of division is part of the quotient.
Go over the steps above carefully while following them below:
Step 1:
Divide [tex]8x^3[/tex] by 2x. You get [tex]4x^2[/tex].
Step 2
Multiply [tex]4x^2[/tex] by (2x + 5) and subtract from [tex]8x^3 + 4x^2 + 100[/tex]:
[tex]8x^3 + 4x^2 + 100[/tex] - ([tex]8x^3 + 20x^2[/tex]) = [tex]-16x^2 + 100[/tex]
Step 3
Divide [tex]-16x^2[/tex] by 2x. You get [tex]-8x[/tex].
Step 4
Multiply -8x by (2x + 5) and subtract from [tex]-16x^2 + 100[/tex]:
[tex]-16x^2 + 100[/tex] - ([tex]-16x^2 - 40x[/tex]) = 40x + 100
Step 5
Divide 40x by 2x. You get 20.
Step 6
Multiply 20 by (2x + 5) and subtract from 40x + 100:
40x + 100 - (40x + 100) = 0
From the three steps of the division, we got [tex]4x^2[/tex], -8x and 20.
Therefore, the quotient is [tex]4x^2 - 8x + 20[/tex]
A lead ball weighs 326 grams. Find the radius of the ball to the nearest tenth of a centimeter. the lead=11.35g/cm³
Answer:
3.14
Step-by-step explanation:
Please answer this in two minutes
Answer: 1080 degrees
Hoped this helped :)
3/x-2, i'm confused as to what the horizontal asymptote is. The resources I found online conclude that it has a horizontal asymptote of y=0. I know that in order for a horizontal asymptote to be y=0, the denominator has to have a greater degree than the numerator. Im confused because doesn't the numerator have the same degree as the denominator (degree of 1)?
Answer:
y = 0
Step-by-step explanation:
Given
f(x) = [tex]\frac{3}{x-2}[/tex]
The degree of the numerator is zero 0 ( 3[tex]x^{0}[/tex] )
The degree of the denominator is 1
Since the degree of denominator > degree of numerator.
Then there is a horizontal asymptote at y = 0
Is 5.7c-1.5+3.2c=7.8c-1.5+1.1c a one solution problem?
Answer:
This is NOT a one solution problem.
Step-by-step explanation:
Group all terms with a c in it to the left of the equal sign, and group all numbers to the right of the equal sign.
5.7c-1.5+3.2c=7.8c-1.5+1.1c
5.7c + 3.2c - 7.8c - 1.1c = - 1.5 + 1.5
8.9c - 8.9c = 0
0 = 0
No matter which number you substitute for c, it will always be true. Since you can find infinity of solutions, this is NOT a one solution problem.
Angle 6 and 7, are complementary angles?
Answer:
Hey there!
Angle 6 and angle 7 are actually supplementary angles, which are angles that add to 180 degrees.
Complementary angles are angles that add to 90 degrees.
Hope this helps :)
Answer:
∠6 & ∠7 are not complementary angles
Step-by-step explanation:
∠6 & ∠7 are supplementary angles on a line
f(x) = x^2 - 4x + 3 f(x) = 1/2x + p The system of equations above, when graphed in the xy-coordinate plane, intersects at the point (4, q). What is p?
Answer:
p = 1
Step-by-step explanation:
Given that the system intersect at (4, q) then this point satisfies both equations, that is
q = 4² - 4(4) + 3
q = [tex]\frac{1}{2}[/tex] (4) + p
Equating both gives
16 - 16 + 3 = 2 + p, that is
3 = 2 + p ( subtract 2 from both sides )
p = 1
Need help with these last two questions, tysm if you do :D
Answer:
D.
A. x ≤ 1
Step-by-step explanation:
Well for the first question we need to simplify the inequality.
4x + 3 < x - 6
-x to both sides
3x + 3 < -6
-3 to both sides
3x < -9
Divide 3
x < -3
So if x is less than -3 than it goes to the left starting at -3.
So D. is the answer.
So to solve the floowing inequality we simplify, distribute, and combine like terms.
3(2x - 5) + 3 ≤ -2(x + 2)
6x - 15 + 3 ≤ -2x -4
6x -12 ≤ -2x - 4
8x - 12 ≤ -4
+12
8x ≤ 8
8/8
x ≤ 1
Hence the answer is A. x ≤ 1
if 12 1/2% of a sum of money is $40, what is the TOTAL sum of money?
Answer:
$320
Step-by-step explanation:
Let the total sum of money be $x.
Therefore,
12 1/2% of x = 40
25/2% * x = 40
0.125 * x= 40
x = 40/0.125
x = $320
Thus, total sum of money is $320.
Helpppppppppp pleasessssss
Answer:
A.
Step-by-step explanation:
When it says (x + 7), that means the graph will be shifting to the right (so parallel to the x-axis.
Help me please!!!!!!!!!!
Answer:
Option (4)
Step-by-step explanation:
In the picture attached,
m∠NLM = m∠LKN = 90°
In two similar triangles ΔLKN and ΔMKL,
By the property of similar triangles,
"Ratio of the corresponding sides of the similar triangles are proportional".
[tex]\frac{\text{LK}}{\text{KN}}=\frac{\text{KM}}{\text{LK}}[/tex]
By substituting the values given,
[tex]\frac{h}{3}=\frac{2}{h}[/tex]
[tex]\frac{2}{h}=\frac{h}{3}[/tex]
Therefore, Option (4) will be the answer.
Two similar cylindrical cans hold 2 litres and 6.75 litres of liquid. If the diameter of the smaller can is 16cm, find the diameter of the larger can.
Step-by-step explanation:
It is given that,
Volume of the cylindrical can 1 is 2 litres and that of cylindrical can 2 is 6.75 litres. The diameter of the smaller can is 16 cm. We need to find the diameter of the larger can.
The formula of the volume of a cylinder is given by :
[tex]V=\pi r^2h[/tex]
So,
[tex]\dfrac{V_1}{V_2}=\dfrac{r_1^2}{r_2^2}[/tex]
Diameter, d = 2r
[tex]\dfrac{V_1}{V_2}=\dfrac{(d_1/2)^2}{(d_2/2)^2}\\\\\dfrac{V_1}{V_2}=(\dfrac{d_1^2}{d_2^2})[/tex]
V₁ = 2 L, V₂ = 6.75 L, d₁ = 16 cm, d₂ = ?
[tex]\dfrac{2}{6.75}=(\dfrac{16^2}{d_2^2})\\\\d_2=29.39\ cm[/tex]
So, the diameter of the larger can is 29.39 cm.
A student stands 20 m away from the footof a tree and observes that the angle of elevation of the top of the tree, measured from a table 1.5 m above the ground, is 34°28'. Calculate the height of the tree tothe nearest metre.
Answer:
6 to the north
Step-by-step explanation:
mark as brainliest
At a pond, there were 24 ducks swimming. The ratio of ducklings to adult ducks is 5:1. How many ducklings were swimming at the pond?
Answer:
Hey there!
The ratio of ducklings to adult ducks is 5:1.
This means for every six ducks, five are ducklings and one is an adult.
If there are 24 ducks, then 5 times 4 = 20 ducklings and 4 adults.
Thus, there are 20 ducklings.
Hope this helps :)
Answer:
20 ducklings.
Step-by-step explanation:
A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 higher than in the first. The tax in the first city was 4.5%, and the tax in the second city was 3.5% . The total hotel tax paid for the two cities was $317.50. How much was the hotel charge in each city before tax? First city: Second city:
Answer:
$3750 and $4250
Step-by-step explanation:
x + 500 = y
.045x + .035y = 317.50
.045x + .035(x + 500) = 317.50
.045x + .035x + 17.5 = 317.50
.08x = 300.00
x = 3750
y = 4250
Write each of the following expressions without using absolute value.
|a−7|−|a−9|, if a<7
PLEASE HELP!!!! D:
=======================================================
If a < 7, then |a-7| = -(a-7) = -a+7 based on how absolute value functions are constructed. We're using the idea that
[tex]|x-k| = \begin{cases}x-k \ \text{ if } \ x \ge k\\ -(x-k) \ \text{ if } \ x < k\end{cases}[/tex]
Also, if a < 7, then |a-9| = -(a-9) = -a+9. This is true whenever 'a' is less than 9 for similar reasoning as above.
---------
So we have,
|a-7| - |a-9| = -a+7 - (-a+9) = -a+7+a-9 = -2
As long as a < 7, the result of |a-7| - |a-9| will always be -2.
---------
As an example, let's say a = 0
|a-7| - |a-9| = |0-7| - |0-9|
|a-7| - |a-9| = |-7| - |-9|
|a-7| - |a-9| = 7 - 9
|a-7| - |a-9| = -2
I recommend you try out other values of 'a' to see if you get -2 or not. Of course only pick values that are smaller than 7.
32. Mariah bought a shirt for $28.50 and a
belt. The total cost was $45.50. Which
of the following equations can be used
to find the cost of the belt?
A 28.50 +b=45.50
B 45.50 + b = 28.50
Cb= 28.50 - 45.50
D b= 28.50 x 45.50
Answer:
The correct answer is A because subtract 28.50 from 45.50 and you get the answer of 17$ for the belt
PLEASE HELP!!!
Rectangle EFGH is reflected across the origin and then rotated 90° clockwise about the origin, forming rectangle E″F″G″H″. What are the coordinates of rectangle E″F″G″H″?
(A.) E″ (1, –5), F″ (1, –1), G″ (4, –1), H″ (4, –5)
(B.) E″ (–1, –5), F″ (–1, –1), G″ (–4, –1), H″ (–4, –5)
(C.) E″ (–1, 5), F″ (–1, 1), G″ (–4, 1), H″ (–4, 5)
(D). E″ (5, 1), F″ (1, 1), G″ (1, 4),
H″ (5, 4)
Answer:
c.
Step-by-step explanation:
90 degrees clockwise is (x,y)-(y,-x)
Answer:
The answer is A
Step-by-step explanation:
Took the test
The perimeter of a rectangle is 141 feet, and the length is twice the width. What are the dimensions ?
Answer:
The width is 23.5 ft and the length is 47 ft
Step-by-step explanation:
The perimeter of a rectangle is given by
P = 2(l+w)
141 = 2(l+w)
The length is twice the width
l = 2w
141 = 2 ( 2w+w)
141 = 2( 3w)
141 = 6w
Divide each side by 6
141/6 = 6w/6
23.5 = w
l = 2w = 2(23.5) = 47
The width is 23.5 ft and the length is 47 ft
Answer:
[tex]\boxed{Width = 23.5 \ feet}[/tex]
[tex]\boxed{Length = 47 \ feet}[/tex]
Step-by-step explanation:
Let Length be l and Width be w
Perimeter = 2(Length) + 2(Width)
Condition # 1:
2l+2w = P
=> 2 l + 2 w = 141
Condition # 2:
=> l = 2w
Putting the second equation in the first one
=> 2(2w)+2w = 141
=> 4w + 2w = 141
=> 6w = 141
Dividing both sides by 6
=> Width = 23.5 feet
Given that
=> l = 2w
=> l = 2(23.5)
=> Length = 47 feet
If f(x) = -8x - 6 and g(x) = x+8 , what is (f • g) (- 7)
Answer:
hello:
Step-by-step explanation:
If f(x) = -8x - 6 and g(x) = x+8 , (f • g) (- 7)= f(g(-7))
but g(-7)=-7+8=1
(f • g) (- 7)= f(1) =-8(1)-6 =-14
Scarlett Squirrel teaches a hula dancing class to young squirrels. 141414 squirrels showed up to class on Monday, 101010 squirrels on Tuesday, 888 squirrels on Wednesday, 101010 squirrels on Thursday, and 121212 squirrels on Friday. Find the mean number of the squirrels
Answer:
93107
Step-by-step explanation:
add all of the numbers together
divide by 5 since there are 5 numbers
you would get 92106.8
so round that up since you cannot have 1/8 of a squirrel
Hope this helps!!
ratio
simplify
4x:9=7:3
Answer:
4x:9=7:3 can be written as
[tex] \frac{4x}{9} = \frac{7}{3} [/tex]
Cross multiply
We have
4x(3) = 9 × 7
12x = 63
Divide both sides by 12
[tex]x = \frac{21}{4} \: \: \: \: \: or \: \: \: 5 \frac{1}{4} [/tex]
Hope this helps you
Answer:
[tex]\boxed{x=\frac{21}{4}}[/tex]
Step-by-step explanation:
[tex]4x:9=7:3[/tex]
Turn ratios to fractions.
[tex]\frac{4x}{9} =\frac{7}{3}[/tex]
Cross multiplication.
[tex]4x \times 3 = 9 \times 7[/tex]
Simplify.
[tex]12x=63[/tex]
Divide both sides by 12.
[tex]x=\frac{63}{12}[/tex]
[tex]x=\frac{21}{4}[/tex]
Peter walked 10m from X to Y on bearing 020° and then he turned and walked 20m to Z with bearing 140° of Z from Y. Find the distance between X and Z. Find the bearing of Z from X.
Answer:
17.32m ; 110°
Step-by-step explanation:
Distance between X and Z
To calculate the distance between X and Z
y^2 = x^2 + z^2 - (2xz)*cosY
x = 20, Z = 10
y^2 = 20^2 + 10^2 - (2*20*10)* cos60°
y^2 = 400 + 100 - (400)* 0.5
y^2 = 500 - 200
y^2 = 300
y = sqrt(300)
y = 17.32m
Bearing of Z from X:
Using cosine rule :
Cos X = (y^2 + z^2 - x^2) / 2yz
Cos X = (300 + 100 - 400) / (2 * 20 '*10)
Cos X = 0 / 400
Cos X = 0
X = cos^-1 (0)
X = 90°
Bearing of Z from X
= 20° + X
= 20° + 90°
= 110°
Identify which of these designs is most appropriate for the given experiment: completely randomized design, randomized blockdesign, or matched pairs design.
A drug is designed to treat insomnia. In a clinical trial of the drug, amounts of sleep each night are measured before and after subjects have been treated with the drug.
The most appropriate is (randomized block, matched pairs, completly randomized) design.
Answer:
Matched pairs design
Step-by-step explanation:
Looking at the options;
-It's not a completely randomized design because a randomized design will assign all individuals to a group which in this case it doesn't.
- It's not a randomized block design because randomized block design will group the subjects in question into 2 or more blocks which have a common characteristic and will then randomly assign subjects in each of the blocks.
-It's a matched pair because every individual/subject undergoes measurements both before and after being treated with the drugs.
Thus, the correct option is matched pairs design.
7 - 5x > 3x + 31
A.X2-3 (all numbers greater than or equal to -3 will satisfy the inequality)B.xs-3 (all numbers less than or equal to -3 will satisfy the inequality)
C.X26 (all numbers greater than or equal to 6 will satisfy the inequality)
D.xs 6 (all numbers less than or equal to 6 will satisfy the inequality)
Answer: B. (all numbers less than or equal to -3 will satisfy the inequality)
Step-by-step explanation:
Hi, to answer this question we have to solve the inequality for x:
7 - 5x > 3x + 31
7-31 > 3x +5x
-24 > 8x
-24/8 > x
-3 > x
x < -3
So, the correct option is:
B. (all numbers less than or equal to -3 will satisfy the inequality)
Feel free to ask for more if needed or if you did not understand something.
dentify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below. A researcher selects every 890 th social security number and researcher selects every 890th social security number and surveys surveys that the corresponding corresponding person.person. nothing nothing nothing Which type of sampling did the researcher researcher use
Complete Question:
Identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below;
A researcher selects every 890th social security number and surveys the corresponding person. Which type of sampling did the researcher use?
Answer:
Systematic sampling.
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
There are various types of sampling used by researchers and these are;
1. Random sampling.
2. Convenience sampling.
3. Stratified sampling.
4. Cluster sampling.
5. Systematic sampling.
A systematic sampling is a type of probability sampling method which involves the researcher selecting or collecting data from a larger population.
Under systematic sampling method, samples are selected from an ordered (fixed) sample population at periodic interval. Therefore, numbers are assigned to every member of the population and then, the "nth" member are selected by the researcher after choosing a fixed starting point.
In this scenario, the researcher selects every 890th social security number and surveys the corresponding person.
Hence, the type of sampling used by the researcher is systematic sampling.
A combination lock has 6 different numbers. If each number can only be used ONCE, how many different combinations are possible?
Answer:
151200 possible combinations
Step-by-step explanation:
There are 10 digits 0 - 9 ( 0,1,2,3,4,5,6,7,8,9)
There are 10 choices for the first digit
10
There are 9 choices for the second digit
9
There are 8 choices for the third digit
8
and so on since we can only use each digit once
10 *9*8 *7 *6*5
151200 possible combinations
II NEED HELP!!!!!!!! Are the graphs of the lines in the pair parallel? Explain. y = 2/3x– 17 4x – 6y = –6 4x-6y=-6 Yes, since the slopes are the same and the y-intercepts are the same. A )No, since the y-intercepts are different. B)No, since the slopes are different. C)Yes, since the slopes are the same and the y-intercepts are different.
Answer:
A
Step-by-step explanation:
Karissa begins to solve the equation StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis.. Her work is correct and is shown below.
Answer:
0
Step-by-step explanation:
Answer: it's C. 0
Also Happy early Christmas