Answer:
C
Step-by-step explanation:
ABD and CDB are both half of ABC
m∠ABD = m∠CBD
Because BD is the bisector of ∠ABC, so it divides it into 2 equal parts.
The scale on a map indicates that 1 inch corresponds to an actual distance of 75 miles. Two cities are 5.5 inches apart on the map. What is the actual distance between the two cities?
Answer:
412.5
Step-by-step explanation:
Answer:
[tex]412.5[/tex] miles
Step-by-step explanation:
Since 1 inch=75 miles you just multiply [tex]75*5.5[/tex] to get how many miles 5.5 inches is.
What is the volume of a cone with a height of 27 cm
and a radius of 13 cm? Round your answer to the
nearest tenth.
Use the button on your calculator to complete this
problem.
V=
cm3
Answer:4778.3 cm^3
Step-by-step explanation: The formula for volume of a cone is V=1/3h pi r^2. By plugging in the height and the radius we get our answer.
Answer:
4778.4 :)
Step-by-step explanation:
Josephine left home traveling at 25 mph. One hour later her friend, Steve, leaves from the same place and travels the same road traveling at 50 mph. How many hours will it take Steve to catch up to Josephine?
Answer:
1 hour
Step-by-step explanation:
J = 50 mph by 2 hours
S = 50 mph by 1 hour
2-1 = 1
g A two-factor study with 3 levels of factor A and 3 levels of factor B uses a separate sample of 10 participants in each treatment condition. How many participants are needed for the entire study
Answer:
the total number of participants required is 90
Step-by-step explanation:
Given the data in the question;
Factor A has three levels
Factor B has three levels
sample size n; ten participants
we have two Way ANOVA involving Factor A and Factor B.
Now,
{ Total # Participants Required } = { #Levels factor A } × { #Levels factor B } × { Sample size of each level }
we substitute
{ Total # Participants Required } = 3 × 3 × 10
{ Total # Participants Required } = 9 × 10
{ Total # Participants Required } = 90
Therefore, the total number of participants required is 90
ab=6cm ac=12 calculate the length of cd
Answer:
is that the full question?
Answer:
Solution:-
Given,
ab =perpendicular (p)= 6cm
ac =hypotenuse (h)= 12cm
cd =base (b)= ?
using , Pythagoras theorem we have ,
b²=√h²-p²
or,cd²=√ac²-ab²
= √12²-6²
= √144-36
=√108
=√10.8²
=10.8cm
the length of cd is 10.8 cm
hope it is helpful to you
Solve using the substitution method
16x – 4y = 16
4x - 4 = y
Answer:
y = 4 x − 4
Step-by-step explanation:
What is y=-2(x+3)^2+2
Answer:
y = -2(x + 3)² + 2
y = 2{ -(x + 3)²+ 1}
y = 2{ -(x² + 6x + 9) + 1}
y = 2{ -x² - 6x - 9 + 1}
y = 2{ -x² - 6x - 8 }
y = -2 { x² + 6x + 8}
OR
y = -2{(x + 4)(x + 2)}
Let v=-9i+j and w=-i-6j find 8v-6w
Answer:
78i+52j
Step-by-step explanation:
8(9i+2j)-6(-i-6j)
72i+16j+6i+36j
=78i+52j
Caffeine: Following are the number of grams of carbohydrates in 12-ounce espresso beverages offered at a coffee shop. 44 29 11 61 15 38 20 41 42 25 26 10 30 12 18 40 21 24 43 6 46 55 34 35 Send data to Excel Part: 0 / 40 of 4 Parts Complete Part 1 of 4 Your Answer is incorrect (a) Find the first and third quartiles of these data. The first quartile of these data is . The third quartile of these data is
Answer:
[tex]Q_1 = 19[/tex] --- first quartile
[tex]Q_3 = 41.5[/tex] --- third quartile
Step-by-step explanation:
Required:
The first and the third quartile
First, we order the dataset in ascending order[tex]Sorted: 6, 10, 11, 12, 15, 18, 20, 21, 24, 25, 26, 29, 30, 34, 35, 38, 40, 41, 42, 43, 44, 46, 55, 61[/tex]
The count of the dataset is:
[tex]n = 24[/tex]
Calculate the median position
[tex]Median=\frac{n+1}{2}[/tex]
[tex]Median=\frac{24+1}{2}[/tex]
[tex]Median=\frac{25}{2}[/tex]
[tex]Median=12.5th[/tex]
This means that the median is between the 12th and the 13th item
Next;
Split the dataset to two parts: 1 to 12 and 13 to 24
[tex]First: 6, 10, 11, 12, 15, 18, 20, 21, 24, 25, 26, 29[/tex]
[tex]Second: 30, 34, 35, 38, 40, 41, 42, 43, 44, 46, 55, 61[/tex]
The median position is:
[tex]Median = \frac{n + 1}{2}[/tex]
In this case; n = 12
So:
[tex]Median = \frac{12 + 1}{2}[/tex]
[tex]Median = \frac{13}{2}[/tex]
[tex]Median = 6.5th[/tex]
This means that the median is the average of the 6th and 7th item of the sorted dataset
So, we have:
[tex]Q_1 = \frac{18 + 20}{2}[/tex]
[tex]Q_1 = \frac{38}{2}[/tex]
[tex]Q_1 = 19[/tex] --- first quartile
[tex]Q_3 = \frac{41+42}{2}[/tex]
[tex]Q_3 = \frac{83}{2}[/tex]
[tex]Q_3 = 41.5[/tex] --- third quartile
1 red marble 4 blue marbles 3 green marbles probability of drawing 2 blue marbles
Answer:
3/14
Step-by-step explanation:
Assuming you draw one after the other without replacement, you have a 1/2 chance of drawing blue the first time, and after one is taken out, you have 7 left. In order to draw 2 blues you would have to have a blue the first time, so there would be 3 blue left. Multiplying the 2 probabilities gets 1/2*3/7= 3/14. Double check that though.
Mr. Alvarado bought a total of 20 pounds of grass seed at the nursery for $168. He paid $9 per pound for Kentucky blue grass and $6 per pound for Tall Fescue. Which system of equations can be used to find the amount x (in pounds) of Kentucky blue grass and the amount y (in pounds) of Tall Fescue Mr. Alvarado purchased?
Answer:
K+T=20
$9K + $6T = $168
K is the Kentucky blue grass in pounds
T is the Tall fescue in pounds
Step-by-step explanation:
You can start with the first equation. We don't know the exact amounts of each but we know that there was a total of 20 pounds, and there were 2 types of grass seeds, so we can get that the amount of pounds of Kentucky blue grass(K) and the pounds of Tal Fescue(T) has a sum of 20.
K + T = 20
For the second equation we know that there is a sum of $168 so we'll start with that. Then, we know he paid $9 per pound of K so $9* the value of K is the amount paid for Kentucky blue grass total. This can be represented as 9K. We do the same for T, 6T. Since the sum of the cost of $9T and $6K must be $168 we can write this as:
$9K + $6T = $168
Which functions have a range of {y e R | -
Answer:
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.
Step-by-step explanation:
idontknow
The amount of tax on a chair was $3.60. The tax rate was 5%. Find the original price of the chair.
Bianca solved the problem below. Find Bianca’s error.
0.05(3.60) = Original price
The original price is $0.18.
9514 1404 393
Answer:
$72.00
Step-by-step explanation:
The relationship between price and tax is ...
tax amount = (tax rate) × (price)
Then the price can be found by dividing by the tax rate:
price = (tax amount)/(tax rate)
price = $3.60 / 0.05 = $72.00
The original price of the chair was $72.00.
__
Bianca apparently did not pay any attention to the way tax is computed. Nor did she check her work. The original price is not a small fraction of the tax. It is the other way around. Bianca used a wrong relationship between tax and price.
Question 1 of 10
The triangles shown below may not be congruent.
66V
100
100
00
2017
A. True
B. False
SUBMIT
Answer:
A. TRUE
Step-by-step explanation:
To determine if two triangles are congruent, we need to establish the facts that the three angles and three side lengths of one is congruent to corresponding angles and side lengths of the other triangle.
The diagram given only tells us the angle measure of the two triangles which are congruent to each other. The side length wasn't given. Therefore, the triangles may not be congruent.
evaluate expression when a=5 b= -3
6a-b
Can someone solve this for me and a couple more questions ?
Answer:
C. -4
Step-by-step explanation:
Answer:
(c) - 4
is your right answer
Exam V Psych 2317 Name: _____________________________
Attention: Read carefully each sentence and choose the best answer (2 points each)
1) While comparing a sample to a population, which design is appropriate?
A) One sample t test B) Related samples t-test C) Independent samples t-test D) ANOVA
2) While comparing two samples of different individuals, which research design is appropriate?
A) One sample t test B) Related samples t-test C) Independent samples t-test D) ANOVA
3) While comparing the same individuals two times, which research design is appropriate?
A) One sample t test B) Related samples t-test C) Independent samples t-test D) ANOVA
4) While comparing three samples of different individuals with an interest in one variable, which design is appropriate?
HELP!!!!!! I need an answer fasttttt
Answer:
see the attachment
Step-by-step explanation:
Hope it helps you
You are making a committee from the class and need to have 6 students on it. There are 32 students in the class.
answer in permutations
Answer:
32P6
Step-by-step explanation:
nPr
n=32
r=6
What are the domain and range of the function f(x) = 3^x + 5?
a. domain: (negative infinity, infinity); range: (0, infinity)
b. domain: (negative infinity, infinity); range: (5, infinity)
c. domain:(0, infinity); range: (negative infinity, infinity)
d. domain: (5, infinity); range: (negative infinity, infinity)
PLEASE RESPOND QUICKKK THANK YOUU
Answer:
b. domain: (negative infinity, infinity); range: (5, infinity)
Step-by-step explanation:
Answer:
B. Domain: (negative infinity, infinity);
Range: (5, infinity)
Question:
which is a y-intercept of the graphed function?
Answers:
A. (-9,0)
B. (-3,0)
C. (0,-9)
D. (0,-3)
Answer:
(0, -9)
Step-by-step explanation:
The y intercept is the y value when x =0
(0, -9)
Sketch the graph of each line.
7) 2x - y = -4
Answer:
check the attachment
Step-by-step explanation:
2x - y = - 4
- y = - 4 - 2x
y = 2x + 4
slope of the line = 2 with y - intercept 4
Suppose that the IQ of a randomly selected student from a university is normal with mean 115 and standard deviation 25. Determine the interval of values that is centered at the mean and for which 50% of the students have IQ's in that interval.
Answer:
The interval is [98,132]
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normal with mean 115 and standard deviation 25.
This means that [tex]\mu = 115, \sigma = 25[/tex]
Determine the interval of values that is centered at the mean and for which 50% of the students have IQ's in that interval.
Between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile.
25th percentile:
X when Z has a p-value of 0.25, so X when Z = -0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 115}{25}[/tex]
[tex]X - 115 = -0.675*25[/tex]
[tex]X = 98[/tex]
75th percentile:
X when Z has a p-value of 0.75, so X when Z = 0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 115}{25}[/tex]
[tex]X - 115 = 0.675*25[/tex]
[tex]X = 132[/tex]
The interval is [98,132]
Rohit thinks of a 4 digit number. The digit in the one’s place is 3 more than the digit in the ten’s place, but 5 less than the digit in the thousand’s place. The value of the hundred’s place is 600. The digit in thousand’s place is the greatest odd number. What is the number Rohit is thinking of?
Answer:
9614
Step-by-step explanation:
Generic number with 4 digit
1000t + 100h + 10y + x
x = 3 + y
x = m - 5
h = 6
m = 9
if we substitute the value we have:
x = 9 - 5 = 4
4 = 3 + y
y = 1
Final number
9614
We have a study involving 5 different groups that each contain 9 participants (45 total). What two degrees of freedom would we report when we report the results of our study
Answer:
Degree of freedoms F(4,40)
Step-by-step explanation:
Given:
There is a study which is involving 5 different groups that each contains 9 participants (totally 45)
The objective is to calculate the degree of freedoms
Formula used:
Numerator degree of freedom = k-1
denominator degree of freedom=N-K
Solution:
Numerator degree of freedom = k-1
denominator degree of freedom=N-K
Where,
K= number of groups = 5
N= total number of observations
which is given as follows,
N=45
Then,
Numerator degree of freedom = k-1
=5-1
=4
Denominator degree of freedom = N-K
=45-5
=40
Therefore,
Degree of freedoms, F(4,40)
The x intercepts of the function f(x) = 2x(x-5)^2(x+4)^3
are…
Answer:
[tex]\boxed{\sf x- intercepts = 0 , 5 \ and \ -4}[/tex]
Step-by-step explanation:
A function is given to us and we need to find the x Intercepts of the graph of the given function . The function is ,
[tex]\sf \implies f(x) = 2x( x - 5 ) ^2(x+4)^3 [/tex]
For finding the x intercept , equate the given function with 0, we have ;
[tex]\sf \implies 2x ( x - 5 )^2(x+4)^3= 0 [/tex]
Equate each factor with 0 ,
[tex]\sf \implies 2x = 0[/tex]
Divide both sides by 2 ,
[tex]\sf \implies\bf x = 0[/tex]
Again ,
[tex]\sf \implies ( x - 5)^2=0 [/tex]
Taking squareroot on both sides,
[tex]\sf \implies x - 5 = 0 [/tex]
Add 5 to both sides,
[tex]\sf \implies \bf x = 5[/tex]
Similarly ,
[tex]\sf \implies \bf x = -4 [/tex]
Hence the x Intercepts are -4 , 0 and 5 .
{ See attachment also for graph } .
Find the L. C. M in division method of the following
a) 18,27
b) 21,38
Answer:
hope it will be helpful to you.....
If y- 1 equals 10 then y
Answer:
11
Step-by-step explanation:
y-1=10
Any figure that crosses equal sign, the operational sign changes.
y=10+1
y= 11
Alex thinks of a number. he squares it, then takes away five .Next multiplies it by 4 ,takes away seven, divides it by three ,and finally adds six his answer is nine what number did he start with
Answer:
3
Step-by-step explanation:
start with the ending answer and go backwards
Answer:
3.
Step-by-step explanation:
.
SCALCET8 3.8.001.MI. A population of protozoa develops with a constant relative growth rate of 0.6137 per member per day. On day zero the population consists of two members. Find the population size after seven days. (Round your answer to the nearest whole number.) P(7)
Answer:
A population of protozoa develops with a constant relative growth rate of 0.6137 per member per day. On day zero the population · Q: For this discussion, you will work in groups to find the area and answer questions.
Step-by-step explanation: