Answer:
[tex]Probability = \frac{45}{98}[/tex]
Step-by-step explanation:
Given
Represent travel guide with T and Fictions with F
[tex]T = 5[/tex]
[tex]F = 9[/tex]
Required
Determine the probability that one of both was selected
This implies that (1 travel guide and 1 fiction) or (1 fiction and 1 travel guide)
The probability is is calculated as thus:
[tex]Probability = P(T\ n\ F)\ or\ P(F\ n\ T)[/tex]
In probability, the above formula can be translated to
[tex]Probability = P(T) *P(F)\ +\ P(F) *P(T)[/tex]
[tex]Probability = \frac{n(T)}{Total} *\frac{n(F)}{Total}\ +\ \frac{n(F)}{Total} *\frac{n(T)}{Total}[/tex]
[tex]Probability = \frac{5}{5 + 9} *\frac{9}{5 + 9} +\frac{9}{5 + 9} *\frac{5}{5 + 9}[/tex]
[tex]Probability = \frac{5}{14} *\frac{9}{14} +\frac{9}{14} *\frac{5}{14}[/tex]
[tex]Probability = \frac{45}{196} +\frac{45}{196}[/tex]
[tex]Probability = \frac{90}{196}[/tex]
[tex]Probability = \frac{45}{98}[/tex]
Could anyone give a hand?
Answer: 73.5
first you work out the total area of this shape.
area: 105
this mean you can start working out the non-shaded area to do this you need to multiply 7cm with 6cm which is 42cm then you divide by 2 to get 21cm.
then to work ou the other non-shaded area in the left you multiply 3cm and 7cm together getting 21cm you then divide it and you get 10.5.
you then add 10.5cm and 21cm together to get 31.5cm, subtract that answer with the total area which gets the answer 73.5!
Segment CD has point E located on it such that CE:ED = 3:5. If the endpoints are located at C(5, -6) and D(11,18) then what are the coordinates of E ?
Answer:
E(29/4,3)
Step-by-step explanation:
Given that,
Segment CD has point E located on it such that CE:ED = 3:5
The coordinates of C and D are (5, -6) and (11,18) respectively.
We need to find the coordinates of E. Let the coordinates are (x,y). Using section formula to find it as follows :
[tex](x,y)=(\dfrac{m_1x_2+m_2x_1}{m_1+m_2},\dfrac{m_1y_2+m_2y_1}{m_1+m_2})\\\\(x,y)=(\dfrac{3(11)+5(5)}{3+5},\dfrac{3(18)+5(-6)}{3+5})\\\\=\dfrac{29}{4},3[/tex]
So, the coordinates of E are (29/4,3).
Can y’all determine the measure of angle a
Answer:si
Step-by-step explanation:
i need to learncmy 9 year old how to multiply
Answer:
Step-by-step explanation:
get them some multiplication charts and use some examples like oreos or any type of cookies.
A table is made using the following two patterns.
Pattern x: Starting number: 1, Rule: add 1
Pattern y: Starting number: 5, Rule: add 5
Complete the table for the given patterns.
x y
1 5
Answer:
The required table will be
x y
1 5
2 10
3 15
4 20
5 25
Step-by-step explanation:
We are given 2 patterns
Pattern x: Starting number: 1, Rule: add 1
Pattern y: Starting number: 5, Rule: add 5
We need to complete the table for given patterns
x y
1 5
The second number for x according to pattern will be: we will add 1 to the previous number i.e 1+1 =2
The third number for x according to pattern will be: we will add 1 to the previous number i.e 2+1 =3
The second number for y according to pattern will be: we will add 5 to the previous number i.e 5+5 =10
The third number for y according to pattern will be: we will add 5 to the previous number i.e 10+5 =15
So, the required table will be
x y
1 5
2 10
3 15
4 20
5 25
As we are not given how much we need to fill table. I am adding 4 values for x and y.
The daily low temperatures from last week are shown below. (The measurement is fahrenheit)
-9, -8, -7, 8, 10, 12, 18
What is the mean low temperature of last week?
A.-2
B.6
C.8
D.10
Answer:
thx for the free points g
3+(-2)-(-3)-(5)+(-1)-(-7)=
Answer:
-1
Step-by-step explanation:
did math on caculator
you want 75,000 in your savings account 12 years from now and you are prepared to make equal annaul deposits into the account at the end of the year. if the account pays 6.8 percent interest, what amount must you deposit each year
Answer:
Annual deposit= $3,474.39
Explanation:
Giving the following information:
You want to have $60,000 in your savings account 12 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. The account pays 6.4 percent interest.
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
A= (60,000*0.064)/[(1.064^12)-1]= $3,474.39
plz mark brainly
the ratio of the angles in a triangle is 3:10:7, what is the measure of the smallest angle
Answer:
27°
Step-by-step explanation:
Let the measure of the angels be 3x, 10x, 7x.
[tex]3x + 10x + 7x = 180 \degree \\ \\ 20x = 180 \degree \\ \\ x = \frac{180 \degree}{20} \\ \\ x = 9 \degree \\ smallest \: angle \: = 3x \\ \\ = 3 \times 9 \degree \\ \\ = 27 \degree[/tex]
How many is 3+7??staijsvsvsgsusidvsvsuoshsgsusisishsbvsss
Answer:
10
Step-by-step explanation:
Answer this answer correctly and you'll get 100 points + brainiest:
Marcellus is making a deposit that will leave him with a balance of $381. He noticed that if he added $54 to the amount he started with in his account and then tripled the sum, he would get the new amount. How much did Marcellus originally have in his account?
Part A: Which equation represents the situation?
A. 3m + 54 = 381, where m represents the amount originally in his account
B. 3(m + 54) = 381, where m represents the amount originally in his account
C. 3m − 54 = 381, where m represents the amount originally in his account
D.3(m − 54) = 381, where m represents the amount originally in his account
Part B: Complete the statement to represent the solution of the equation in context.
Marcellus originally had $___________ in his account.
Answer:
B
Step-by-step explanation:
Part A:
3(m+54) = 381 shows that 54 is being added to m, the initial sum. Then it shows the sum of 54 + m being multiplied by 3 to get to the new balance of $381. This equation most accurately matches with the question.
Part B:
3(m-54) = 381.
You would first divide both sides by 3.
m - 54 = 127
You would now add 54 to both sides.
You now know m = 181.
Which would be the best concluding sentence?
Tom wrote this paragraph:
Eating at Joe's Pizza Place is a delightful experience.
The food is freshly prepared right there in the
kitchen. Joe uses only the
freshest ingredients and
makes his own tomato sauce. He even makes
homemade sausage.
O Joe's wife, Emma, has decorated the restaurant
with great care.
O A mural on the wall shows Joe making his tomato
sauce at the Pizza Place.
O Joe also keeps a close eye on the servers and
makes sure customers are happy.
O Anyone who enjoys great food should plan a visit to
Joe's Pizza Place.
lol
the last one seems to be the best
Answer:
D
Step-by-step explanation:
f(x) = -x -5, solve for x when f(x) = -6
Answer:
x = 1
Step-by-step explanation:
Janice had an unpaid balance of $2358.19 on her credit card statement at the beginning of January. She made a payment of $80.00 during the month, and made purchases of $99.50. If the interest rate on Janice's credit card was 4% per month on the unpaid balance, find her finance charge and the new balance on February1.
Answer:
$2,639.19
Step-by-step explanation:
Her balance at the end of the month is
$2358.19 - $80.00 + $99.50 = $2537.69
So the finance charge is 2537.69 * 0.04% = $101.50
and her new balance is $101.50 + $2537.69 = $2639.19
The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. Test H0 : p=0.28 vs Ha : p<0.28 when the sample has n=800, and p^=0.217 with SE=0.01.
Required:
Find the value of the standardized z-test statistic.
Answer:
Z = -6.3
Step-by-step explanation:
Given that:
[tex]\mathbf{H_o :p= 0.28}[/tex]
[tex]\mathbf{H_o :p < 0.28}[/tex]
Since the alternative hypothesis is less than 0.28, then this is a left-tailed hypothesis.
Sample sixe n = 800
[tex]\hat p[/tex] = 0.217
The standard error [tex]S.E(p) = \sqrt{\dfrac{p(1-p)}{n}}[/tex]
[tex]S.E(p) = \sqrt{\dfrac{0.28(1-0.28)}{800}}[/tex]
[tex]S.E(p) \simeq0.015[/tex]
Since this is a single proportional test, the test statistics can be computed as:
[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
[tex]Z = \dfrac{0.217- 0.28}{0.01}[/tex]
Z = -6.3
In triangle PQR m angle P=60°, and m angle Q=30°, and m angle R=90°. Which of the following statements about triangle PQR are true? Check all that apply.
Answer: A, C, and F
Step-by-step explanation:
The correct statements about triangle PQR.are given by options A), B), and F) and this can be determined by using the trigonometric functions.
Given :
In triangle PQR, angle P is 60°, angle Q is 30° and angle R is 90°.
The trigonometric functions can be used in order to determine the correct statements about triangle PQR.
[tex]\rm sin30 = \dfrac{PR}{QP}[/tex]
[tex]\rm PQ = 2\;PR[/tex]
[tex]\rm cos30 = \dfrac{QR}{QP}[/tex]
[tex]\rm PR=\dfrac{\sqrt{3} }{2}\;PQ[/tex]
[tex]\rm tan30 = \dfrac{PR}{QR}[/tex]
[tex]\rm \sqrt{3}\; PR= QR[/tex]
[tex]\rm sin60 = \dfrac{QR}{PR}[/tex]
[tex]\rm QR=\dfrac{\sqrt{3} }{2} \;PR[/tex]
[tex]\rm cos60 = \dfrac{PR}{QP}[/tex]
[tex]\rm PR=2\;PQ[/tex]
[tex]\rm tan60 = \dfrac{QR}{PR}[/tex]
[tex]\rm PR=\sqrt{3} \; QR[/tex]
Therefore, the correct option A), B), and F).
For more information, refer to the link given below:
https://brainly.com/question/13710437
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
X=4 6 x 4=24. so when y turns 16, what time four gets 16? 4x4=16
Step-by-step explanation:
hope this helps
Use this expression to name each item. 7m3 + 6r2 – 3r - 8
Answer:
In the given expression [tex]7m^3 + 6r^2 - 3r - 8[/tex]
Variables = m, r
Coefficients = 7, 6 and -3
constant= -8
Step-by-step explanation:
We are given the expression [tex]7m^3 + 6r^2 - 3r - 8[/tex]
We need to give variable, coefficients and constant.
Variable: The value of variable may change. It can be represented by x, y or any other letter
Coefficients: A numerical or constant quality that is placed with the variable. For example in 4x, 4 is coefficient
Constant: It is fixed value. It cannot be changed.
So, in the given expression [tex]7m^3 + 6r^2 - 3r - 8[/tex]
Variables = m, r
Coefficients = 7, 6 and -3
constant= -8
solve with steps please?
Answer:
Step-by-step explanation:
m∠1 = x
m∠2 = 3x
m∠3 = ( [tex]\frac{1}{3}[/tex] )(3x) = x
x + 3x +x = 180°
x = 36°
m∠1 = 36°
m∠2 = 108°
m∠3 = 36°
How high would the rent have to be to qualify as an outlier
Answer:
1500+
Step-by-step explanation:
Y-p=m(x-8) solve for x
Answer:
x = Y /m − p /m +8
Step-by-step explanation:
What is the slope-intercept form of a line that contains the point (0,3) and a slope =-2?
PLZ HELPP MEEE!!
Answer:
C.
Step-by-step explanation:
-2 is in front of x so thats gonna be the slope
and +3 is the y-intercept
Write the expression in simplest form.
(-11/2 x + 3) -2(-11/4x-5/2)
Answer:
8
Step-by-step explanation:
(-11/2x +3) -2(-11/4x -5/2)
(-11/2x +3) +22/4x +10/2
-11/2x +3 +11/2x +5
8
6. f(x) = (x + 2). g(X) = (X+3) Find (fºg)(x)
Answer:
(f o g)(x) = x + 5
General Formulas and Concepts:
Algebra I
Combining Like TermsAlgebra II
Function CompositionStep-by-step explanation:
Step 1: Define
f(x) = x + 2
g(x) = x + 3
(f o g)(x) = f(g(x))
Step 2: Find
Substitute: (f o g)(x) = (x + 3) + 2Combine like terms: (f o g)(x) = x + 5Answer:
f(x+3)=x+5
Goodluck to you
so i have this question that says I was at a grocery store and my total is 35.25 but I get to the register and find out it is 25% off. what would be my final total?
25% off of 35.25 would be $26.4375
The table below
A
3. Circle A has been enlarged to create circle
shows the circumference of both circles.
Circumference
Circle Circumference (inches)
2
5
A
6
A
15
O
1.5
Based on the information in the table, what scale factor was used
9
A
to create circle
?
O
2.5
CLEAR ALL
Answer:
[tex]Scale\ Factor = 1.5[/tex]
Step-by-step explanation:
See attachment for proper presentation of question.
From the attachment, we have:
[tex]A = 7[/tex]
[tex]A' = 10.5[/tex]
Required
Determine the scale factor
To solve this, simply divide the circumference of A' by that of A.
This gives the scale factor used
i.e.
[tex]Scale\ Factor = \frac{A'}{A}[/tex]
Substitute values for A and A'
[tex]Scale\ Factor = \frac{10.5}{7}[/tex]
[tex]Scale\ Factor = 1.5[/tex]
Hence, the scale factor used is 1.5
Additional Note:
If the given parameters had been the area of A and A', you'll need to first solve for the radius of both circles.
Then determine the scale factor by A'/A
Evaluate the expression 3.14(a2 + ab) when a = 4 and b = 2. (Input decimals only, such as 12.71, as the answer
Answer:
3.14((4^2)+(4)(2))
3.14(16+8)
3.14(24)
=75.36
You just want to plug in the values of a and b into the equation and solve using order of operations. Hope this helps!
Step-by-step explanation:
Will you always be able to use rigid transformations to verify that two shapes are congruent or not congruent? If yes, why is that the case? If not, why not? ( plz answer its a big grade plzzz thx you to whoever helps)
Answer:
Yes
Step-by-step explanation:
Jamel has 2 and 2/5 of string. Jamel needs 1/5 of a foot of string to sew a button to a shirt. What is the greatest amount of buttons he can sew onto the shirt with the rest of the string he has?
Answer:
it's 12
Step-by-step explanation:
2 and 2/5 divide by 1/5 is 12
Answer:
12
Step-by-step explanation:
I had this question on my test and the correct answer was 12
the sum of 8.23, 7.96 and 17.65
Answer:
इएइहेइएबे!!न्बेओएहेजेने