Answer:
P (4 and F) = 1 in 21 or 4.76%
P(EVEN NUMBER AND VOWEL) = 3 in 14 or 21.43%
Step-by-step explanation:
The probability of rolling a four on a die is 1 in 6.
The probability of picking the letter F in the word GIRAFFE is 2 in 7.
Therefore:
[tex]P (4\ and\ F)=P(4)*P(F)\\ P (4\ and\ F)=\frac{1}{6}*\frac{2}{7}\\ P (4\ and\ F)=\frac{1}{21}= 4.76\%[/tex]
The probability of rolling an even number (2, 4 or 6) on a die is 3 in 6.
The probability of picking a vowel (A, E, I) in the word GIRAFFE is 3 in 7.
Therefore:
[tex]P (Even\ and\ Vowel)=P(Even)*P(Vowel)\\ P (Even\ and\ Vowel)=\frac{3}{6}*\frac{3}{7}\\ P (Even\ and\ Vowel)=\frac{3}{14}= 21.43\%[/tex]
What is the probability of selecting a boy or a blonde-haired person from 12 girls, 5 of whom have blonde-haired and 15 boys, 6 of whom have blonde-haired
Answer: 20/27
Step-by-step explanation:
So it is non- mutually exclusive;
Let B for the boys and H for the blond hair.
P(B) = 15/27; P(H) 11/27; P(B and H) = 6/27
Then, we have,
P(B or H) = 15/27 + 11/27 - 6/27
P(B or H) = 20/27
Therefore, the probability of selecting a boy or a blond-haired person is 20/27.
Rename 1 3/4 as an improper fraction.
Answer:
7/4
Step-by-step explanation:
1 3/4=1 x 4=4 + 3=7/4
what is the LCM of x^2+5 and x^2+10x+25?
Answer:
(x+5)²(x²+5)
Step-by-step explanation:
Given two functions x²+5 and x²+10x+25, to get their Lowest common factor, we need to to first factorize x²+10x+25
On factorising we have:
x²+5x+5x+25
= x(x+5) +5(x+5
= (x+5)(x+5)
= (x+5)²
The LCM can be calculated as thus
| x²+5, (x+5)²
x+5| x²+5, (x+5)
x+5| x²+5, 1
x²+5| 1, 1
The factors of both equation are x+5 × x+5 × x²+5
The LCM will be the product of the three functions i.e
(x+5)²(x²+5)
This hives the required expression.
If cos0 =1/3
then sin0=?
Answer:
sin θ = +/- (2√2)/3
Step-by-step explanation:
cos θ = 1/3
cos²θ + sin²θ = 1
(1/3)² + sin²θ = 1
sin²θ = 1 - 1/9
√(sin²θ) = +/-√(8/9)
sin θ = +/- (2√2)/3
The Arc de Triomphe measures 50 m in height. You are asked to make a replica model in art class using a scale of 1:275. What should the height of your model be in millimeters?
Answer:
180 millimeters.
Step-by-step explanation:
To find the height of the replica, a ratio can be set up:
[tex]\frac{x}{50}= \frac{1}{275}[/tex]
Cross multiply:
[tex]275x = 50[/tex]
Divide both sides by '275:
x≈0.18 meters
Convert 'meters' to 'millimeters' by multiplying by a thousand:
0.18 × 1000 = 180 millimeters.
Solve for s.
6 − 4s = –8 − 6s
s =
Step-by-step explanation:
6 - 4s = - 8 - 6s
Bringing like terms on one side
-4s + 6s = - 8 - 6
2s = - 14
S = - 14/2
S = - 7
Determine the value of x in this polygon.
Answer:
X24
Step-by-step explanation:
3
7
10
Which expression has a negative value?
O 2+12
(-3)(-8)
10-(-18)
-35-5
Wakandi telur
Answer:
-35 - 5
Step-by-step explanation:
2 + 12 = 14, which is positive
(-3) * (-8) = 24, which is positive
10 - (-18) = 10 + 18 = 28, which is positive
-35 - 5 = -40, which is negative
Answer:
[tex]-35-5[/tex]
Step-by-step explanation:
[tex]2+12=14[/tex]
The result is a positive value.
[tex]-3 \times -8=24[/tex]
The result is a positive value.
[tex]10-(-8)\\10+8=18[/tex]
The result is a positive value.
[tex]-35-5=-40[/tex]
The result is a negative value.
Which of the following is a secant on the circle below
Answer:
RT is more appropriate, though even SU could be called a secant.
Step-by-step explanation:
PLEASE HELP! Shalini found the sum of the measures of the interior angles of the triangle to be 175°. She knows the sum is supposed to be 180°. What was Shalini’s error? m∠A = 45° m∠B = 85° m∠C = 45° Shalini did not add the sum of the 3 angles correctly.
Answer:
its c
Step-by-step explanation:
because i said
Answer:
c is the correct option
Step-by-step explanation:
4.7 - 2.3 = 4.7 + (-2.3) =
Answer:
2.4
General Formulas and Concepts:
Math
Base 10 Decimal SystemPre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
4.7 - 2.3
Step 2: Evaluate
Subtract
2.4
Answer:
2.4
Step-by-step explanation:
What is the sum of the greatest and least numbers below: \[8\frac15, \qquad -8\frac25, \qquad -\frac{26}{3}, \qquad -\frac{54}7, \qquad \frac{53}{6}.\]
Answer:
[tex]\dfrac{47}{42} \ \ \ \ \ OR \ \ \ \ 1.1[/tex]
Step-by-step explanation:
The objective of this question is to find the sum of the greatest and least numbers below:
[tex]\[8\frac15, \qquad -8\frac25, \qquad -\frac{26}{3}, \qquad -\frac{54}7, \qquad \frac{53}{6}.\][/tex]
To do this ; we will need to find the decimal component of each of them and equate them on a number line before summing the greatest and least numbers.
[tex]8 \frac{1}{5} = \dfrac{8*5+1}{5} \\ \\ = \dfrac{41}{5} \\ \\ = 8.2[/tex]
[tex]-8 \frac{2}{5} =- \dfrac{8*5+2}{5} \\ \\ =- \dfrac{42}{5} \\ \\ = -8.4[/tex]
[tex]-\dfrac{26}{3}= - 8.7[/tex]
[tex]-\dfrac{54}{7} = - 7.7[/tex]
[tex]\dfrac{53}{6}= 8.8[/tex]
Thus; the above decimal component of the fractions given are :
8.2, -8.4, -8.7 , -7.7 and 8.8
We are to find the sum of the greatest and the smallest number ; on a number line; we will realize that the positive side is greater than the negative side , As such the greatest number from the positive side will be 8.8 and the smallest number will be -7.7
The sum of 8.8 + ( -7.7 ) = 8.8 - 7.7
= 1.1
i.e
[tex]\dfrac{53}{6} + (- \dfrac{54}{7} )[/tex]
[tex]\dfrac{53}{6} - \dfrac{54}{7}[/tex]
[tex]\dfrac{53}{6} - \dfrac{54}{7} = \dfrac{53*7 - 6*54}{42} \\ \\ = \dfrac{47}{42} \\ \\ = 1.1[/tex]
Answer:
47/42Step-by-step explanation:
Which reslts only in a horizontal compression of y=1/x by a factor of 6?
Answer:
y=1/6x
Step-by-step explanation:
y=1/x
the rule for horizontal compression is f(k.x) since we have the equation of y=1/x and k=6 then y=1/6x
10x+9=4x -9 solve
please help
Answer:
x = -3
Step-by-step explanation:
To solve this, you need to isolate the variable x, this means only one side of the equation should have the variable x. To do this, you need to do the opposite operation from what's given (if it's addition, use subraction; if it's multiplication, use division; these work vise versa)
Subtract 9 from both sides of the equation. This gives you 10x = 4x - 18.Subtract 4x from both sides of the equation. This gives you 6x = -18.Divide both sides by 6. This gives you x = -3The final answer is x = -3
50 POINTS!
You have $10,000 to invest, and three different funds from which to choose. The municipal bond fund has a 7% return, the local bank's CDs have an 8% return, and the high‐risk account has an expected (hoped‐for) 12% return. To minimize risk, you decide not to invest any more than $2,000 in the high‐risk account. For tax reasons, you need to invest at least three times as much in the municipal bonds as in the bank CDs. Assuming the year‐end yields are as expected, what are the optimal investment amounts?
Answer:
Optimal investment amount = $300
Step-by-step explanation:
discount = x
original price = 10,000
discount% = 7%
x/10,000 = 7/100
x · 100 = 7 · 10,000
100x = 70,000
100x/100 = 70,000/100
x = 700
discount = x
original price = 10,000
discount% = 8%
x/10,000 = 8/100
x · 100 = 8 · 10,000
100x = 80,000
100x/100 = 80,000/100
x = 800
discount = x
original price = 10,000
discount% = 12%
x/10,000 = 12/100
x · 100 = 12 · 10,000
100x = 120,000
100x/100 = 120,000/100
x = 1,200
So:
$1,200 - $800 - $700 = $300
We max out the high return investment, $2000 for 12%.
We have $8000 left to invest and we want to put as much in CDs at 8% as possible. Let's call b the bond investment and c the CD investment. We have
b ≥ 3c
Since munis have the lower return we want as many CDs as possible. So we choose:
b = 3c
b + c = 8000
3c + c = 8000
4c = 8000
c = 2000
That leaves b=3c=6000 for bonds.
Answer: $6000 in bonds, $2000 in CDs, $2000 in high-risk.
Write an expression for the situation described. Each person's share if 'p' people share 8 slices of pizza equally.
Answer:
The expression that represent each person's share is: [tex]y(p) = \frac{8}{p}[/tex]
Step-by-step explanation:
To divide a pizza, or anything else, equally among a certain number of people, we need to divide the total of pizza available by the number of people who will eat the pizza. In this case there are 8 slices and 'p' people, therefore:
[tex]y(p) = \frac{8}{p}[/tex]
In order to validate the expression, we can see that if 8 people eat the pizza, each gets one slice, because 8 divided by 8 is 1, while if 4 people eat the pizza each get 2 and so on.
The expression that represent each person's share is: [tex]y(p) = \frac{8}{p}[/tex]
i dont know which two chose
rewrite the expression in the form 2n
Answer:
two times a number
Step-by-step explanation:
Find the 7th term of the geometric sequence with a3= -45 and a5= -405
Answer:
Step-by-step explanation:
let a be the first term and r be common ratio.
[tex]a_{3}=ar^2=-45\\a_{5}=ar^4=-405\\divide\\\frac{ar^4}{ar^2} =\frac{-405}{-45} =9\\r^2=9\\r=\pm3\\9a=-45\\a=-5\\a_{7}=ar^{7-1}=ar^6=ar^4 \times r^2=-405 \times 9=-3645[/tex]
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
- 18y = 1
Step-by-step explanation:
Adding the 2 equations term by term on both sides gives
(- 5x + 5x) + (- 9y - 9y) = (3 - 2), that is
0 + (- 18y) = 1
- 18y = 1
May I Please Get Help For Number 5
Answer:
$ 60
Step-by-step explanation:
p(x) = 7x + 25
f(1) = 2.1² + 3 = 5
p(f(1)) = p(5) = 7 . 5 + 25 = 35 + 25 = 60
so he get $ 60 for 5 hours work with tips
the shapes below are drawn on a centimeter grid, show that the triangle and the square have the same area.
Answer:
Area_square = 4 cm2
Area_triangle = 4 cm2
Step-by-step explanation:
The first thing to do is calculate the area of both figures.
The area of the square is given by:
Area_square = side * side
The side of the square is 2 cm, so:
Area_square = 2 * 2 = 4 cm2
The area of the triangle is given by:
Area_triangle = base * height / 2
The base is 2 cm, and the height is 4 cm, so we have:
Area_triangle = 2 * 4 / 2 = 4 cm2
So we have that Area_square = Area_triangle = 4 cm2
Malik decides that he wants a good result on the state math test. He plans to study for at least 45 minutes three nights per week. Which expression represents Malik's study goal for each week?
Answer:
[tex]135<t_{minutes}\:<315[/tex]
Step-by-step explanation:
Malik's goal is a minimum total of 135 (45 x 3) minutes per week, in three session of 45 minutes.
Notice that it is at least.
So He can do sessions from 3 , 4, 5, 6 up to 7 nights per week
Hence, we can write his goals in minutes per week:
[tex]G_{w}=3*45<t_{minutes}<7*45\\G_{w}=135<t_{minutes}<315[/tex]
The amount of money that Tom had in his pension fund n 2016 was E55 000. Dis plans involve him putting $8 200 in his fund every year for the next 15 years. How much will Tom have in the pension fund in 2031?
Answer:
$178,000
Check my explanation for further details
Step-by-step explanation:
$8200 in his pension fund for 15 years
=8200×15
=$123,000
By 2031
Tom will have a total of $55 000+$123,000
=$178,000
If by saying E55,000 you mean 55,000 Euro
Then,
$62,174.99=E55000
$62,174.99+$123,000
=$185,174.99
HELP FAST! A cat spies a bird sitting at the top of a 32 foot pole. If the angle of elevation from the cat to the bird is 47°, then the cat is __________ feet from the base of the flagpole. Select one:
a. 29.880
b. 29.890
c. 29.820
d. 29.800
e. 29.840
Answer:
e. 29.840
Step-by-step explanation:
The cat, the floor and the foot pole form the shape of a right angled triangle.
The opposite is the height of the foot pole = 32 ft
The adjacent is the distance of the cat from the base of the foot pole.
The hypotenuse is the direct distance of the cat from the bird.
The angle of elevation, x, is 47°
To find the distance of the cat from the foot of the foot pole, we can use to TAN part of the trigonometric function SOHCAHTOA:
tan(x) = opposite / adjacent
=> tan(47) = 32 / adj
adj = 32 / tan(47)
adj = 29.840 ft
Therefore, the cat is 29.840 feet from the base of the foot pole.
What is M and C for the line Y=X-6?
Answer:
Step-by-step explanation:
Equation of line: y = mx + c
y = x - 6
Slope m = 1
y-intercept c = -6
Answer:
m = 1
c = -6
Step-by-step explanation:
Formula for a line is y = mx+c
m = gradient
c = intercept.
Here:
m = 1
c = -6
Hope this helps
Good Luck
Tom can do a job in 4 hours while Sam can do it in 6 hours. How many hours would it take to complete this job if they work together?
Answer:
12/5hours=2.4 hours
Step-by-step explanation:
Sam:6hours
Tom:4hours
This is a rate problem
Sam's rate is one job completed in 6 hours which is 1/6
Tom's rate is one job completed in 4 hours which is 1/4
Together, they could complete 1/4+1/6 of the job in y hours
We are trying to find the rate at which Sam and Tom could complete the job together, or one job in x days, for a rate of 1/y
1/4+1/6=1/y
The least common denominator is 12y
Multiplying through by the LCD which gives:
12y(1/4)+ 12y (1/6)= 12y (1/y)
3y + 2y=12
5y = 12
y=12/5 hours=2.4hours
Therefore it will take 12/5 hours or 2.4 hours to complete the job if they work together
The low temperature during 4 days in September was 21°C, 21°C, 19°C and 19°C. What was the mean temperature?
Answer:
Step-by-step explanation:
The Answer is 20.
1: First, add up all the temperatures that has been provided, 21 + 21 + 19 + 19. It should give you 80.
2: Divide 80 by how many temperatures has been shown. There were 4 temperatures shown, so 80/4 = 20. Hope this helps you!
HELP. ITS ABOUT FUNCTIONS! HELPPPPPPPPPPPPPP HELPPPPPPP
Answer:
B
Step-by-step explanation:
It cannot be C. The Y-intercept of Function W is 30, while the Y-intercept of Function Z is 15.8. Now, we are left with A, B, and D.
It cannot be D, because 30 is not less than 15.8. Now, we are left with options A and B.
Function Z as an equation is approximately y=-1/24x+15.8.
The slopes are NOT equal, so the answer cannot be A.
Explanation why it's B:
1/16 is bigger than 1/24, however, since the fractions are NEGATIVE, -1/16 is actually LESS THAN -1/24. The slopes of Function W is less than the slope of Function Z.
Answer:
B. the slope of function W is less than he slope of function Z
Step-by-step explanation:
Function W:
y= - 1/16x+30Function Z:
from the table we can see it is decreasing function with step change of -0.04
using the data from the table we can put the function in y= mx + b format:
x=0 ⇒ y= 15.8 ----- interceptx=1 ⇒ y= 15.7615.76- 15.8 = - 0.04= - 4/100 = -1/25 ----- slopeas per above, we get the the form of function Z
y= -1/25x+15.8we can now compare the slops and intercepts of functions W and Z
m - is the slope: -1/16 and - 1/25
-1/25>-1/16 ⇒ the slope of function W is less than Zb is the y-intercept: 30 and 15.8
30>15.8 ⇒ the y-intercept of function Z is lessAs per above the correct option is
B. the slope of function W is less than he slope of function Zpls help for brainliest
｡☆✼★ ━━━━━━━━━━━━━━ ☾
πr^2 = area
Half the diameter to get the radius
Substitute the values in:
area = 3.142 x (7)^2
area = 153.958 cm^2
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Answer:
153.958cm^2
Step-by-step explanation:
r=d/2=14/2=7cm
A=πr^2
A=3.142×7^2
A=3.142×49cm^2
A=153.958cm^2
