Answer whats the quistion
Step-by-step explanation:
?
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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Find the distance between Georgetown and clayton on a map with a scale of 1 in: 14 mi if they are actually 28 mi apart.
The distance between Georgetown and clayton on the scale model is 2 inches.
What is scale?In math, the term scale is used to represent the relationship between a measurement on a model and the corresponding measurement on the actual object.
The distance between Georgetown and clayton on a map with a scale of 1 inches: 14 miles can be found as follows;
They are actually 28 miles.
Therefore,
14 miles = 1 inches
28 miles = ?
cross multiply
distance between Georgetown and clayton on the scale model = 28 / 14
distance between Georgetown and clayton on the scale model = 2 inches
Therefore, the distance on the scale model is 2 inches.
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what is the greatest common factor of 4x²+2x
Answer:
2x
Step-by-step explanation:
Because both terms are divisible by 2x. So, that's the greatest common factor. Whichever term is the greatest and can divide both the numbers it the GFC.
The student government snack shop sold 32 items this week.
For each snack type, what percentage of all snacks sold were of that type? Do not round your answers.
The percentages of each snack type that were sold are given as follows:
Fruit cup: 25%.Veggie sticks: 18.75%.Chips: 43.75%.Water: 12.5%.How to obtain the percentage?A percentage is one example of a proportion, as it is obtained by the number of desired outcomes divided by the number of total outcomes, and then multiplied by 100%.
Hence the percentages for each type are obtained as follows:
Fruit cup: 8/32 x 100% = 25%.Veggie sticks: 6/32 = 18.75%.Chips: 14/32 = 43.75%.Water: 4/32 = 12.5%.More can be learned about proportions at https://brainly.com/question/24372153
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is this graph a minimum or a maximum pls help
The vertex of the graph is a maximum at (-2, 4)
Calculating if the vertex of the graph a maximum or a minimum?From the question, we have the following parameters that can be used in our computation:
The graph
The graph is a quadratic function
From the graph, we can see that the graph has a maximum value
This maximum value represents the vertex of the graph
And it is located at (-2, 4)
So, we have
Maximum = (-2, 4)
Hence, the maximum value of the function is (-2, 4)
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Consider the distribution of exam scores graded 0 from 100, for 79 students. When 37 students got an A, 24 students got a B and 18 students got a C. How many peaks would you expect for distribution?
Answer:
Three
Step-by-step explanation:
Assuming the grade score from 70 to 100 is A; for grade score from 60 to 69 is B and grade score from 50 to 59 is C. Well it is certain there are three peaks in the distribution of scores
Nancy saves $120 per week which represents 8% of her total weekly salary. Find her total weekly salary
Answer:
$1500.00
Step-by-step explanation:
8% of what is 120?
.08x + 120 Divide both sides by .08
x = 1500
Check:
.08 x 1500 = 120
A chemist needs 50 mL of a 16% salt solution for an experiment. She can only find a 13% salt solution and an 18% salt solution in the supply room. How many milliliters of the 13% solution should be mixed with the 18% solution to produce
the desired amount of the 16% solution?
Answer:
Step-by-step explanation:
X+Y = 50
0.13X + 0.18Y = 0.16*50 = 8
0.13X + 0.18(50-X) = 8
0.13X + 9 - 0.18X = 8
-0.05X = -1
5x = 100
x=20
20 mL of the 13% salt solution
30 mL of the 18% salt solution
Evaluate the expression (2b+3a)×(c to the power of 2) when a=4 , b=3 , and c=1/3 .
Answer:
2
Step-by-step explanation:
(2b+3a) x (c power 2)2*3+3*4 x 1/3 power 2
6+12 x 1/9
18 x 1/9
2 x 1 (because 9 and 18 are cutted by each other)
2
2
Step-by-step explanation:To evaluate the expression (2b+3a)×(c^2) when a=4, b=3, and c=1/3, we substitute the given values into the expression and perform the indicated arithmetic operations:
(2b + 3a) × (c^2)
= (2(3) + 3(4)) × ((1/3)^2) (substitute a=4, b=3, c=1/3)
= (6 + 12) × (1/9) (evaluate 2(3) + 3(4) and (1/3)^2)
= 18/9
= 2
Therefore, when a=4, b=3, and c=1/3, the expression (2b+3a)×(c^2) equals 2.
Order the values from least to greatest.
-8,
|-9|,
|-8|,
7,
-6,
Answer:
least
-8
-6
7
|-8|
|-9|
greatest
Answer:
-8, -6, 7, |-8|, |-9|,
Step-by-step explanation:
|-8| and |-9| are equal to 8 and 9.
PLEASE HELP! WILL GIVE BRAINLIEST! After substituting, what is the first step when evaluating 4y+9 when y=82 O Add 4 and 9. O Multiply 8 by 4. O Divide 9 by 7 O Divide 4 by 7.
Answer:
The answer is c
Step-by-step explanation:
MA.7.DP.1.4
A group of friends has been given $800 to host a party. They must decide how much money
will be spent on food, drinks, paper products, music and decorations.
Part A. As a group, develop two options for the friends to choose from regarding how to
spend their money. Decide how much to spend in each area and create a circle
graph for each option to represent your choices.
Part B. Mikel presented the circle graph below with his recommendations on how to
spend the money. How much did he choose to spend on food and drinks? How
much did he choose to spend on music?
Party Spending Proposal
Mail
17%
Paper Products
Answer: $130 money did Brenda and Hazel have all together before buying decorations and snacks.
Here, we have,
You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.
Setup
Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...
(x/2 -58) : (x/2 -37) = 1 : 4
Solution
Cross-multiplying gives ...
4(x/2 -58) = (x/2 -37)
2x -232 = x/2 -37 . . . . . . eliminate parentheses
3/2x = 195 . . . . . . . . . . . . add 232-x/2
x = (2/3)(195) = 130 . . . . . multiply by 2/3
Brenda and Hazel had $130 altogether before their purchases.
Alternate solution
The difference in their spending is $58 -37 = $21.
This is the same as the difference in their final balances.
That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.
Their ending total is 1+4 = 5 ratio units, or $35.
The total they started with is $58 +37 +35 = $130.
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complete question:
Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?
In a survey, participants were asked how much confidence they had in the economy.
The results were as follows:
Response Number
A great 3,187
deal
Some
9,120
Hardly 5,149
any
What is the probability that a sampled person has either some confidence or a great
deal of confidence in the economy? Write only a number as your answer. Round to
two decimal places (for example: 0.43). Do not write as a percentage.
Answer:
0.71
Step-by-step explanation:
Great Deal or Some = 12,307
Total Participants = 17,456
Probability = 12,307/17,456 = 0.71
Given △ B O Y has been transformed under the translation: T − 3 , 6 to form image at B′ ( − 5,2 ) , O′ ( 3,0 ) , Y′ ( 10,7 ) . Find the coordinates of the preimage.
Answer:
\(B(x,y) = (-2,-4)\)
\(O(x,y) = (6,-6)\)
\(Y(x,y) = (13,1)\)
Step-by-step explanation:
Given
\(Translation: (-3,6)\)
\(B': (-5,2)\)
\(O':(3,0)\)
\(Y': (10,7)\)
Required
Determine the coordinates of B, O and Y
Recall that the given translation is:
\((x,y) = (-3,6)\)
Calculating the x coordinates of B:
\(B_x + x = B'_x\)
Where \(B': (-5,2)\)
This gives
\(B_x -3 = -5\)
\(B_x = -5 + 3\)
\(B_x = -2\)
Calculating the y coordinates of B:
\(B_y + y = B'_y\)
This gives
\(B_y + 6 = 2\)
\(B_y = 2 - 6\)
\(B_y = -4\)
Hence:
\(B(x,y) = (-2,-4)\)
Calculating the x coordinates of O:
\(O_x + x = O'_x\)
Where \(O':(3,0)\)
This gives
\(O_x -3 = 3\)
\(O_x = 3 + 3\)
\(O_x = 6\)
Calculating the y coordinates of O:
\(O_y + y = O'_y\)
This gives
\(O_y + 6 = 0\)
\(O_y = 0 - 6\)
\(O_y = - 6\)
Hence:
\(O(x,y) = (6,-6)\)
Calculating the x coordinates of Y:
\(Y_x + x = Y'_x\)
Where \(Y': (10,7)\)
This gives
\(Y_x -3 = 10\)
\(Y_x = 10 + 3\)
\(Y_x = 13\)
Calculating the y coordinates of Y:
\(Y_y + y = Y'_y\)
This gives
\(Y_y + 6 = 7\)
\(Y_y = 7 - 6\)
\(Y_y = 1\)
Hence:
\(Y(x,y) = (13,1)\)
Amelia wants to rearrange the furniture in her room. She makes a scale drawing of her rectangular room,
in which every 2 inches represents 5 feet. On her scale drawing, the area of the room is 24.96 square
inches. If one side of her room is 12 feet long, how long is the other side of her room, in feet?
Answer:
The other side = 13 feets long
Step-by-step explanation:
Given that :
Scale of drawing : 2 inches represents 5 feets
Area of rectangular room according to scale drawing = 24.96 in²
Length of one side of the room = 12 feets
Length of other side = x
Area of rectangle = Length * width
If :
2 inches = 5 feets
x = 12 feets
x = (12 *2) / 5
x = 4.8 inches
Hence,
For the scaled drawing :
4.8 * width = 24.96
Width = 24.96 / 4.8
Width = 5.2 inches
Converting to feets according to scale:
2 inches = 5 feets
5.2 inches = x feets
x = (5.2 * 5 ) / 2
x = 13 feets
Other side is 13 feets long
Four different exponential functions are represented below.
Drag the representation of each function into order from greatest y-intercept to least y-
intercept.
The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.
How to solve
We have the 4 functions as shown in the image attached.
The y - intercept is the point where the graph intercepts the y - axis.
Function [1] -
y = 4 + 2x
y - intercept is 4
Function [2] -
y = 5ˣ + 1
y - intercept is 2.
Function [3] -
the y-intercept is 1.
Function [4] -
the y - intercept is at -1.
Therefore, the greatest y-intercept is of function -
f(x) = 2x + 4
and the least y-intercept is of the function shown in graph [4] or function [4].
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Answer:
Carlos puts $3 into his bank account and it grows by 50% each year
f(x)=4^x+1
(The Table)
(The Graph)
solving linear equations 7(x+1)=1-2(5-x)
Answer:
x = -3.2
Step-by-step explanation:
First, solve the numbers in the brackets:
7x + 7 = 1 - 10 - 2x
Then collect like terms:
7x + 7 = 2x - 9
Finally, solve:
7x - 2x = -9 - 7
5x = -16 (Divide both sides by 5)
x = -3.2
help I don't understand
With the help of proportions in the given similar triangles we know that the value of x is 3.5 units.
What is triangle similarity?Euclidean geometry states that two objects are comparable if they have the same shape or the same shape as each other's mirror image.
One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection.
These three theorems—Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS)—are reliable techniques for figuring out how similar triangles are to one another.
So, in the given situation:
TR and WY are as follows:
TR/WU
24/2
2/1
Similarly,
TS/WV
2/1
7/x
7/3.5
Therefore, with the help of proportions in the given similar triangles we know that the value of x is 3.5 units.
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help i needs hep will mar brainliest!
Answer:
B
Step-by-step explanation:
Have a wonderful day hope this helps
The value of a coin in 2010 was $40. The value of the coin has increased in value at a rate of 16.9% annually.
What was the value of the coin in 2019?
Enter your answer in the box rounded to the nearest dollar.
The value of the coin in 2019 would be approximately $132.
To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.
Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:
Value in 2019 = Initial value * (1 + Rate)^n
where Rate is the annual increase rate and n is the number of years between 2010 and 2019.
Plugging in the values:
Value in 2019 = $40 * (1 + 0.169)^9
Value in 2019 ≈ $40 * 2.996
Value in 2019 ≈ $119.84
Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.
However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.
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Como se llama un ángulo de 192 grados?
Answer:
reflex angle
Step-by-step explanation:
the angle of 192 degrees is called a reflex angle
What ratio is equivalent to 8/6
Answer:
3rd option: 32/24
Step-by-step explanation:
8/6 = 4/3
1st option: Now let's change the denominator to 24:
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
2nd option: Now let's change the numerator to 24:
4/3 ==> 24/?
4/3 =
4*6 / 3*6 = 24/18, not 24/32
24/32 = 3/4, not 4/3 ==> don't get confused by this
3rd option: 32/24 is correct [Look at the explanation for 1st option]
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
Hence, the 3rd option is correct.
Expand the following equation (2x-3)^2
Answer:
4x^2 - 12x + 9
Explanation:
(2x - 3)^2
(2x - 3)(2x - 3)
2x(2x - 3) -3 (2x - 3)
4x^2 - 6x - 3 (2x - 3)
4x^2 - 6x - 6x + 9
4x^2 - 12x + 9
Evaluate 6×[2−(4)×(–8)]
Answer:204
Step-by-step explanation:
pemdas
6x[2--32]=6×[34]=204
. Where is the vertex of the graph that represents y=(x−2)2−8 ? Type the answers in the boxes below. ( , ) b. Where is the y -intercept? Type the answers in the boxes below.
The vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.
Given equation :
y=(x−2)2−8
y = 2x - 4 - 8
= 2x - 12
The final equation is y = 2x - 12.
Compare this equation with slope and y-intercept formula :
y = mx+c
So that c = -12
The value of y-intercept according to the solution is -12.
To find the vertex. Let's assume x=0; Substitute in the equation
y = 2(0) -12
y = -12
The first vertex will be (0, -12)
If x = 1; y = 2(1) -12
y = -10
Then the second vertex will be (1, -10).
Hence, the vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.
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HELP PLEASE I’m having troubles!!!
1. The velocity at time t , v(t) = (18t² + 3 ) m/s
2. The velocity at time t = 3 seconds = 165 m/s
3. The acceleration at time t, a(t) =( 36t )m/s²
4. The acceleration at time t = 3 seconds = 108 m/s²
What is instateanou velocity and acceleration?The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity.
Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.
1. s(t) = 6t³ + 3t +9
to find the velocity at time t, we differentiate s(t)
= 18t² + 3
2. at t = 3s
= 18(3)² +3
= 165 m/s²
3. v(t) = 18t² + 3
to get the acceleration at time t, we differentiate v(t)
= 36t
4. when t = 3
a = 36 × 3
= 108 m/s²
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A company produces and sells solar panels for $520. The company's daily profit, P(x), can be modeled by the function P(x) = −6x2 + 156x + 1,000, where x is the number of $5 price increases for each solar panel. Use the graph to answer the questions.
Graph of function p of x equals negative 6 x squared plus 156 x plus 1,000. The graph has the x-axis labeled as the number of price increases, and the y-axis labeled as profit. The curve begins at (0, 1000), increases to the vertex at about (13, 2014), and decreases through about (31, 0).
Part A: Identify the approximate value of the y-intercept. Explain what the y-intercept means in terms of the problem scenario. (3 points)
Part B: Identify the approximate value of the x-intercept. Explain what the x-intercept means in terms of the problem scenario. (3 points)
Part C: Identify the approximate value of the maximum of the function. Explain what the maximum of the function means in terms of the problem scenario. (4 points)
Will give who ever answers the fast the brainliest and max points
This occurs when the number of $5 price increases is approximately 10.82 or 15.32.
The function given is P(x) = −6x2 + 156x + 1,000, where x is the number of $5 price increases for each solar panel. We are to identify the approximate value of the x-intercept and explain what the x-intercept means in terms of the problem scenario.
The x-intercept is a point where the graph of the function crosses the x-axis. At this point, the value of the function is zero.
We can find the x-intercept by setting P(x) = 0 and solving for x.0 = −6x2 + 156x + 1,0006x2 - 156x - 1000 = 0Dividing by 6, we get:x2 - 26x - 166.67 = 0Solving using the quadratic formula,
we get:x ≈ 10.82 or x ≈ 15.32So, the x-intercepts are approximately 10.82 and 15.32. In terms of the problem scenario, the x-intercept represents the point at which the company breaks even, i.e., the point at which the daily profit is zero.
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How many people will occupy a 5,280ft by 20ft space if 15 people occupies 25sq ft space?
If we had a space of 5,280ft by 20 ft, the area of the space is:
Area = 5,280 ft * 20 ft = 105,600 square feets
Then, we can calculate the number of people using the rule of three as:
15 people ---------- 25 square feets
x ---------- 105,600 square feets
Solving for x, we get:
\(x=\frac{15\cdot105,600}{25}=63,360\text{ people}\)Finally, 63,360 people occupy a 5,280 ft by 20 ft space.
The number p, the number q, and the product p.q are all the same type of
number. Which type of number could they be?
A negative numbers
B prime numbers
complex numbers
rational numbers
Answer:
rational numbers
Step-by-step explanation:
They cannot be negative numbers because the product of two negative numbers is positive.
They cannot be prime numbers because the product of two prime numbers is not a prime number.
The product of two complex numbers can be a complex number, but it may also be a real number.
The product of two rational numbers is always rational.
Answer: rational numbers
PLEASE HELP (WILL GIVE BRAINLIEST)
Answer:
\( \sqrt{ {13.5}^{2} - {8.6}^{2} } = \sqrt{108.29} = 7 \sqrt{2.21} = \frac{7}{10} \sqrt{221} \)
V = (1/2)(8.6)(.7√221)(22.4) = 1,002.33 square meters
The closest answer is 1,001.73 square meters.