Answer:
Step-by-step explanation:
The way to do this (I think) is to figure out the probability of not getting said king on either throw.
First Throw: P(no King Hearts) = 51/52
Second Throw: P(no King Hearts) = 50/51
Total probability = 51/52*50/51 = 50/52
Therefore the probability of getting it right is
P(KH) = 1 - 50/52 = 2/52 = 1/26
I have a feeling that this is not correct. If you get a different answer that looks reasonable, take it.
What is the value of x?
X + y = 10;
Z + z = 6;
Z + y = 5;
A) 9
B) 8
C) 7
D) 6
E) 1
Answer:
B
Step-by-step explanation:
z+z=6, z=3. z+y=5, y=2, x+y=10, x=8
Sophie has $4.20 worth of dimes and quarters. She has twice as many quarters as dimes. Write a system of equations that could be used to determine the number of dimes and the number of quarters that Sophie has.
Answer:
0.25q +0.10d = 4.20q = 2dStep-by-step explanation:
Let q represent the number of quarters, and d represent the number of dimes.
0.25q +0.10d = 4.20 . . . . . the value of the coins
q = 2d . . . . . . . . . . . . . . . the relation between the numbers of coins.
__
Additional comment
Using substitution, the equation simplifies to ...
0.60d = 4.20
d = 7
q = 14
Note that the coins can be grouped into groups of 2 quarters and 1 dime. The value of the group is $0.60, and the number of dimes is equal to the number of groups. Thinking about the problem in this way gets you immediately to the single equation 0.60d = 4.20.
There are 3 cups of blue paint and 2 cups of red paint. Whats the ratio?
Answer:
3:2
Step-by-step explanation:
can also be written as 3/2 as a fraction!
Answer:
Blue paint to red paint - 3:2
Red paint to blue paint 2:3
Step-by-step explanation:
For every 3 cups of blue paint there is 2 cups of red paint
For every 2 cups of red paint there is 3 cups of blue paint
Fraction Mode: 3/2 or 2/3
please help asap for brainiest!!!!
Answer:−
2xy−x^2−3x
Step-by-step explanation:
2xy−4xy+x^2−2x^2−3x
Subtract 4xy from 2xy−2xy+x^2−2x^2−3x
Subtract 2x^2 from x^2−2xy−x^2−3x
Please provide the answer
The radius of the circle is determined as r = 5.
option B.
What is the radius of the circle?The radius of the circle is determined by applying the general formula for circle equation.
(x - h)² + (y - k)² = r²
where;
h, k is the center of the circle r is the radius of the circlex, y are the coordinates of any point on the circleThe given circle equation;
4x² + 4y² = 100
Simplify the equation by dividing through by 4;
x² + y² = 25
x² + y² = 5²
So from the equation above, the radius of the circle corresponds to 5.
r = 5
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Which expression is equivalent to (3+4i)(2−3i)
The expression that is equivalent to the given value would be = 18-i . That is option C.
What is an equivalent expression?An equivalent expression is defined as the type of expression that is similar to a given value when simplified.
The given expression = ( 3 + 4i) ( 2 - 3i)
Expand the given expression by removing the brackets as follows:
= =2(3+4i)−3i(3+4i)
=(6+8i)−(9i−12)
= (6+12)+i(8−9)
=18−i.
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Of the following statements, which one or ones describe actions helpful to your credit score? I. Quickly paying off debts II. Having recent debts III. Having long-standing lines of credit a. I only b. II and III c. I and III d. III only Please select the best answer from the choices provided
Answer:
I think d because it proves you will pay of your debt many time so it already involves a
TRUE or FALSE. Write the word True if the statement is true, and False if the statement is false
1.If my father and mother have a gene coding for obesity, it is guaranteed that I will be obese.
2.Many factors other than genetics may determine whether a person is obese.
3.It is possible that I will inherit other genes from my parents that counter the obesity genes.
4.Phenotypes are the observable characteristics of an individual.
5.Mutations determine differences in the human genome.
Answer:
Step-by-sTrue
tep explanation:
Answer:
1: False
2: True
3: True
4: True
5: False
Step-by-step explanation:
52. Find a vector v whose magnitude is 3 and whose component in the i direction is equal to the component in the j direction.
The vector whose magnitude is 3 and whose components I. the I and j direction are equal is; <3√2/2i, 3√2/2j>.
Which vector is as described in the task content above?It follows that the magnitude of a vector in terms of its components in the i and j direction is;
M = √(x² + y²).
On this note, since the i and j components are equal; x = y and hence, we have;
3 = √(x² + x²).
3² = 2x²
x² = 9/2
x = 3/√2
x = 3√2/2
On this note, the required vector which is as described is; <3√2/2i, 3√2/2j>.
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I NEED HELP ASAP Fanks luv
Answer:
P = 9; A = 3
Step-by-step explanation:
a)
1. ATC is similar to GDO
2. 12 / 3 = 4
3. Triangle A has to be divided by 4 to figure out what Triangle B is
4. GD = 3, GO = 4, DO = 2
5. P = 3 + 4 + 2 + 9
b)
1. B = 2, H = 3
2. Plug into given equation (A = 1/2bh)
3. A = 1/2*2*3
4. 1/2 * 6
5. A = 3
Use π = \frac{22}{7}: Henry bought exactly the right amount of fencing to put around his circular herb garden, which has a diameter of 14 feet. Then he decides to make the garden larger by doubling the diameter. How much more fencing does Henry need to purchase to enclose the new garden?
The answer of the given question based on the circle is , Henry needs to purchase an additional 44 feet of fencing to enclose the new garden.
What is Circumference?Circumference is distance around edge of circular object. It is same as perimeter of circle. The circumference of a circle can be calculated using the radius of the circle, which is half the diameter.
The circumference of circle with diameter d is given :
C = πd
Using the given diameter of 14 feet, the circumference of the original garden is:
C1 = πd1 = (22/7) * 14 = 44 feet
When the diameter is doubled to 28 feet, the circumference of the new garden is:
C2 = πd2 = (22/7) * 28 = 88 feet
To find how much more fencing Henry needs to purchase to enclose the new garden, we need to subtract the original circumference from the new circumference:
C2 - C1 = 88 - 44 = 44 feet
Therefore, Henry needs to purchase an additional 44 feet of fencing to enclose the new garden.
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1/27
2/346
3/34
4/0244
5/24679
6/02
Min=
Q1=
Med =
Q3 =
Max =
Answer: Min=0.02
Q1=0.037037
Med = 0.037037
Q3 = 0.346790
Max = 346
Step-by-step explanation:
To convert the numbers to decimal, we can divide the number before the slash by the number after the slash. So for example, 1/27 becomes 0.037037.
After converting the numbers to decimal and arranging them in ascending order, we get:
0.02, 0.037037, 0.03448, 0.040816, 0.346790, 346
To find the Q1, median (Med), Q3, and other measures of central tendency and spread for this list of numbers, we first need to order the numbers in ascending order:
0.02, 0.03448, 0.037037, 0.040816, 0.346790, 346
Q1 is the value that separates the lowest 25% of the data from the rest of the data. To find Q1, we need to find the median of the lower half of the data set. Since there are 6 numbers in the set and Q1 is the middle value of the lower half, Q1 would be the 3rd number in the ordered set, which is 0.03448.
Med is the middle value of the data set. Since there are 6 numbers in the set, the median would be the 3rd and 4th numbers, which are 0.03448 and 0.037037.
Q3 is the value that separates the highest 25% of the data from the rest of the data. To find Q3, we need to find the median of the upper half of the data set. Since there are 6 numbers in the set and Q3 is the middle value of the upper half, Q3 would be the 5th number in the ordered set, which is 0.346790.
Min is the smallest value of the dataset, which is 0.02
Max is the largest value of the dataset, which is 346
Uncle Drew scored 28 point in 5 5/6 minutes during a game of basketball. How many points did he average per minute during that 5 5/6 minutes?
We can calculate the average by dividing the total point by the total period.
We start by expressing the period in minutes, that is a mixed number, in fractional form:
\(5+\frac{5}{6}=\frac{5\cdot6+5}{6}=\frac{30+5}{6}=\frac{35}{6}\)Then, we can divide the total score by this number:
\(\frac{28}{35\text{ / }6}=28\cdot\frac{6}{35}=\frac{168}{35}=4.8\)He averaged 4.8 points per minute.
Sally went shopping. She spent $86 on groceries and $39 on clothing. How much more did Sally spent on groceries than a clothing?
Answer:
47
Step-by-step explanation:
86-39
Step-by-step explanation:
Its 47 because 80-30=50 but 9-6= -3 so 50-3=47
Please help ASAP!!
I'll mark brainliest!!!:)
Real numbers a and b satisfy
a + ab = 250
a - ab = -240
Enter all possible values of a, separated by commas.
The only possible value of "a" that satisfies the given equations is a = 5.
The possible values of "a" that satisfy the given equations, let's solve the system of equations:
a + ab = 250 ---(1)
a - ab = -240 ---(2)
We can solve this system by using the method of substitution. Rearranging equation (2), we get:
a = ab - 240 ---(3)
Substituting equation (3) into equation (1), we have:
(ab - 240) + ab = 250
2ab - 240 = 250
2ab = 250 + 240
2ab = 490
ab = 490/2
ab = 245
Now we have the value of "ab."
We can substitute this back into equation (3) to solve for "a":
a = (245) - 240
a = 5
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If h(x) = -2x + 6, find x if h(x) = 12.
\(-2x+6=12\\2x=-6\\x=-3\)
To rent a car, Cesar must pay $15 a day plus 5 cents for every mile he drives. In dollars, what is his final bill if he rents a car for 3 days and drives a total of 50 miles?
Answer:
$70
Step-by-step explanation:
What we know:
⇒ He must pay 15 dollars a day
⇒ He needs to pay an additional 5 cent for every mile he drives
⇒ He drives 50 miles for 3 days
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Since he pays $15 a day and he is driving this car for 3 days, we have to multiply 15 by 3.
15*3=45
He drove 50 miles and each mile is 5 cents so we have to multiply those as well.
50*.5=25
Now we add both the sums togather~
25+45= $70
∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞The amount he has to spend for his car rental is $275.
A school has a toy drive for a holiday in which students bring in toys to be donated to charity. the number of toys donated by juniors and seniors are summarized in the histograms
The standard deviation of the number of toys donated by juniors is greater than that of seniors.
What is a standard deviation?It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in variation.
\(\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}\)
For the seniors, the mean is given as,
Mean = (5 x 2 + 35 x 2 + .... + 15 x 2) / 10
Mean = 26
Then the standard deviation is given as,
σ = √[(26 - 5)² + (26 - 5)² + (26 - 15)²] / 10
σ = 14.28
For the juniors, the mean is given as,
Mean = (40 x 2 + 25 x 2 + ....... + 40 x 2) / 10
Mean = 26
Then the standard deviation is given as,
σ = √[(26 - 40)² + (26 - 25)² + (26 - 40)²] / 10
σ = 13.19
The standard deviation of the number of toys donated by juniors is greater than that of seniors.
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The complete question is given below.
LISTEN
Cal jogs from 10:28 AM until 11:15 AM. For about how long does Cal jog?
Answer:
47 minutes
Step-by-step explanation:
In elapsed time, it's better to make your problem more readable so it's easier to solve. Add 2 minutes into 10:28 so it turns into 10:30. Then add 30 minutes so it turns into 11:00 AM. Finally, add 15 minutes so it turns into the 11:15 you were looking for. When you combine the minutes allotted (2, 30, and 15) you get 47 minutes.
Leo bought a couch for $600. he made equal payments of 10% of the total cost. how much was each payment
Answer:
$60
Step-by-step explanation:
10% is the same as 1/10 and is also the same as dividing by 10. So 10% or 1/10 of 600 is 60.
Answer:
60.00
Step-by-step explanation:
$600 divided by 10 is $60.00 hope this helps
Problem-work-interest-total
Rita needs to take out a loan for a new
car. Her loan is for $25,000. The interest
rate on the loan is 6%, and is
compounded yearly. She plans to pay off
the loan in 5 years. What will she owe
after she factors in interest?
The amount that she owes after she factors in interest will be $33,455.64.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
Rita necessities to apply for a line of credit for another vehicle. Her advance is $25,000. The financing cost on the advance is 6% and is accumulated yearly. She intends to take care of the advance in 5 years.
Then the amount is given as,
A = $25,000 x (1 + 0.06)⁵
A = $25,000 x (1.06)⁵
A = $25,000 x 1.3382
A = $33,455.64
The amount that she owes after she factors in interest will be $33,455.64.
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whats the distance between (4,6) and (-7,6)
Answer:
\(d = 11\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Point (4, 6)
Point (-7, 6)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: \(d = \sqrt{(-7-4)^2+(6-6)^2}\)Subtract: \(d = \sqrt{(-11)^2+(0)^2}\)Exponents: \(d = \sqrt{121}\)Evaluate: \(d = 11\)A grocery store sells fruit snacks that come packaged in two different sizes. The small box has 8 snacks for $2.48, and the large box has 12 snacks for $3.48. The unit rate (in dollars per snack) of the larger box IS HOW MUCH CHEAPER than that of the small box?
Answer:
2
Step-by-step explanation:
2.48 divided by 8 is .31 and 3.48 divided by 12 is .29 so 2
(5a2 + 4ab – 3b2) – (–5ab + 4b2 + 3a2) =
Answer:
See below.
Step-by-step explanation:
(5a^2 + 4ab – 3b^2) – (–5ab + 4b^2 + 3a^2)
5a^2+4ab-3b^2+5ab-4b^2-3a^2
(5a^2-3a^2)+(4ab+5ab)+(-4b^2-3b^2)
2a^2+9ab-7b^2
-hope it helps
Answer:
You can answer this with modern calculators very easily.
2. Add 62 to the difference of
90 and 36.
Answer:
116
Step-by-step explanation:
(difference = subtract)
90 - 36 = 54
adding 62 to 54 = 116
answer
62+(90-36)
62+54
116
Please HELP FAST!!!!
Answer: b
Step-by-step explanation:
Find the missing side or angle.
Round to the nearest tenth.
b=3
a=9
c=11
C=[ ? ]°
Answer:
\(C=125.0^\circ\)
Step-by-step explanation:
In a triangle:
b=3 ; a=9 ; c=11
We want to determine the value of Angle C.
Since we are given three sides of the triangle, we use the Law of Cosines to find any of the angles.
\(c^2=a^2+b^2-2ab\cos C\\11^2=9^2+3^2-2(9)(3)\cos C\\11^2-(9^2+3^2)=-2(9)(3)\cos C\\31=-54\cos C\\\cos C=-\dfrac{31}{54} \\C=\arccos (-\frac{31}{54}) \\C=125.0^\circ$ (to the nearest tenth)\)
If Q(x) = x2 + 3x + 2, find Q(-4).
Q(x)=x^2+3x+2
\(\\ \sf\longmapsto Q(-4)\)
\(\\ \sf\longmapsto (-4)^2+3(-4)+2\)
\(\\ \sf\longmapsto 16+(-12)+2\)
\(\\ \sf\longmapsto 16-12+2\)
\(\\ \sf\longmapsto 4+2\)
\(\\ \sf\longmapsto 6\)
The value of the function at x = - 4 will be 6. Then the correct option is D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The function is given below.
Q(x) = x² + 3x + 2
The value of the function at x = - 4, then we have
Q(-4) = (-4)² + 3(-4) + 2
Simplify the equation, then we have
Q(-4) = (-4)² + 3(-4) + 2
Q(-4) = 16 - 12 + 2
Q(-4) = 18 - 12
Q(-4) = 6
The value of the function at x = - 4 will be 6. Then the correct option is D.
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John bought a shirt at ksh 500 and marked it at Ksh 600. A customer bought it at ksh 550. What was the percentage discount?
Answer:
The original price of the shirt was Ksh 500 and it was sold for Ksh 550.
The discount is the difference between the original price and the selling price, which is Ksh 500 - Ksh 550 = Ksh -50.
To find the percentage discount, we can use the formula:
percentage discount = (discount ÷ original price) × 100%
percentage discount = (-50 ÷ 500) × 100%
percentage discount = -10%
Therefore, the percentage discount is 10%.