A single card is drawn from each of two decks of 52 cards. The probability of getting a heart from the first deck and then a diamond on the second deck is 6.25%.
Probability means possibility.
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
There are 52 cards in a standard deck.
So, the total number of possible outcomes=52
We have to pick a single card from each of decks of 52 cards.
In a deck of 52 cards there are 13 heart cards and 13 diamond cards.
Therefore the probability of getting a heart from the first deck=13/52
And the probability of getting a diamond from the second deck=13/52
Hence the probability of getting a heart from the first deck and then a diamond on the second deck=(13/52)×(13/52)=6.25%
Thus, the probability of getting a heart from the first deck and then a diamond on the second deck is 6.25%.
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Answer:
6.25%
Step-by-step explanation:
I got it right on the test.
a. Draw a rectangle with an
area of 39 squares, and
perimeter of 32 units.
a
Answer:
It has side lengths of 3 and 13
Step-by-step explanation:
If it has an area of 39, then let the sides be x and y: thus we get the two relationships:
xy=39
2(x+y)=32
From the second equation, you get x+y=16. Now, rearrange to get y=16-x. You can now plug this into the first equation:
x(16-x)=39 -> 16x-x^2=39 -> x^2-16x+39=0 -> (x-3)(x-13)=0
This implies that x=3, or x=13, which further implies that the side lengths must be 3 and 13.
Please help answer !:)
( WILL GIVE BRAINLST)
i dont know that so u answer it
A rectangle has area of 150 in2. The ratio of the length to the width is 3:2.
Find the length and width of the rectangle. (This diagram is not to scale),
The diagram is just an rectangle, there are no measurements of what the base or width are
Answer:
length = 15 in
width = 10 in
Step-by-step explanation:
let '3x' = length
let '2x' = width
A = l x w
150 = 3x(2x)
150 = 6x²
x² = 150/6
x² = 25
x = [tex]\sqrt{25}[/tex]
x = 5
Length = 3(5) = 15 in
Width = 2(5) = 10 in
What is the volume?
7 mm
7 mm
1 mm
Answer:
(7)(7)(1)=49 mm^3
Step-by-step explanation:
Answer:
49mm³
Step-by-step explanation:
[tex]v = 7mm \times 7mm \times 1mm = 49m {m}^{3} [/tex]
1. A square is altered so that one dimension is
increased by 7 meters and the other dimension
is increased by 4 meters. If the area of the
resulting rectangle is 108 square meters, find the
area of the original square.
Encuentre el resultado de la suma de las fracciones, simplifique la fraccion. 6/7+2/8=
Answer:31/28
Step-by-step explanation:
Answer:
1 3/28
Step-by-step explanation:
Write the equation of a line given its slope,m=6 and its y-intercept, b=-5
Answer:
Y = 6X-5
Step-by-step explanation:
substitute the value of slope and Y intercept in the standard equation Y = MX + B
where M is the slope and b is the y-intercept
16
Select the correct answer.
Which of these numbers are 11 units from 0 on the number line?
A: 0
B: +11
C: -11
O A.
A and B
O B.
A and C
O C.
B and C
OD. Conly
Answer:
b and c
Step-by-step explanation:
To investigate whether there is a difference in opinion on a certain proposal between two voting districts, A and B, two independent random samples were taken. From district A, 35 of the 50 voters selected were in favor of the proposal, and from district B, 36 of the 60 voters selected were in favor of the proposal. Which of the following is the test statistic for the appropriate test to investigate whether there is a difference in the proportion of voters who are in favor of the proposal between the two districts (district A minus district B)? A. 35-36 A 50 B. 35-36 0.7 0.6 V 50 0 + 60 C. 0.7-0.6 (0..) (.x) (+) 0.7-0.6 D. V(0.7)(0.6) (Hot 50+60 0.7 -0.6 E. (0.7) (0.6) VE 60
Answer:
C: t= x1`-x2`/√p^q^(1/n1 +1/n2)
0.7−0.6/(0.65)(0.35)√(1/50+1/60)
Step-by-step explanation:
The options given are
A
35−36/ 35/√50+3660
B
35−36/0.7/√50+0.660
C
0.7−0.6/(0.65)(0.35)√(1/50+1/60)
D
0.7−0.6/(0.7)(0.6)/√(1/50+1/60)
E
0.7−0.6/(0.7)(0.6)/√150+160
↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔
This is a test hypothesis about difference of means between two proportions.
The test statistic used is
t= x1`-x2`/√p^q^(1/n1 +1/n2)
x1`= 35/50= 0.7
x2`= 36/60= 0.6
so
x1`-x2`
= 35/50-36/60
= 0.7-0.6
p^= 35+36/50+60= 71/110= 0.645= 0.65
q^= 1-p^= 1-0.65= 0.35
p^q^= (0.65) (0.35)
n1= 50 and n2= 60
therefore √1/n1 +1/n2= √1/50+1/60
Now Putting the values in the test statistics we get
t= x1`-x2`/√p^q^(1/n1 +1/n2)
0.7−0.6/√(0.65)(0.35)(1/50+1/60)
Hence C is the correct option
Using the z-distribution, it is found that the test statistic for the appropriate test to investigate whether there is a difference in the proportion of voters who are in favor of the proposal between the two districts is given by:
[tex]z = \frac{0.1 - 0}{0.0906}[/tex]
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference between the proportions, that is, the subtraction is zero, hence:
[tex]H_0: p_A - p_B = 0[/tex]
At the alternative hypothesis, it is tested if there is a difference between the proportions, that is, the subtraction is not zero, hence:
[tex]H_1: p_A - p_B \neq 0[/tex]
What is the mean and the standard error for the distribution of the difference of proportions?First, we find the mean and the standard error for each proportion:
[tex]p_A = \frac{35}{50} = 0.7[/tex]
[tex]s_A = \sqrt{\frac{0.7(0.3)}{50}} = 0.0648[/tex]
[tex]p_B = \frac{36}{60} = 0.6[/tex]
[tex]s_B = \sqrt{\frac{0.6(0.4)}{60}} = 0.0633[/tex]
Then, for the difference:
[tex]\overline{p} = p_A - p_B = 0.7 - 0.6 = 0.1[/tex]
[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.0648^2 + 0.0633^2} = 0.0906[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{p} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{0.1 - 0}{0.0906}[/tex]
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The company financial officer was interested in the average cost of PCs that had been purchased in the past six months. She took a random sample of the price of 10 computers, with the following results. $3,250, $1,127, $2,995, $3,250, $3,445, $3,449, $1,482, $6,120, $3,009, $4,000. What is the 10th percentile?
Answer:
$1,482 is the 10th percentile.
Step-by-step explanation:
xth percentile:
If a measure is said to be in the xth percentile, it means that x% of the measures are smaller than it, and (100-x)% are larger.
In this question:
10 computers, the 10th percentile is the value that is larger than 10% of the prices.
The prices, sorted in an increasing way, are:
$1,127, $1,482, ...
Computers at a price of $1,482 have larger prices than 10% of the population, so $1,482 is the 10th percentile.
Sorry if the picture is scuffed. Pls help fast
Answer:
C
Step-by-step explanation:
the domain would be all positive real numbers, including zero
A tape manufacturer has created a new formula that is supposed to be more adhesive on all types of surfaces. Managers wish to conduct an experiment on aluminum and wood to see how well the tape sticks to them. To determine this, they take a random sample of tape with the new formula and use four different weights taped to random places on each of the two surfaces. They will measure how long the tape holds the weights on each surface and compare the times. Which of the following best describes this experiment?a. This is an observational study.b. This is an experiment with blocking.c. The type of surface is a confounding variable.d. This is a double-blind experiment.e. This is a randomized experiment resulting in the placebo effect.
Answer:
This is an experiment with blocking ( B )
Step-by-step explanation:
The best way to describe this experiment is an experiment with blocking this is because the Type of surface where the tape is been tested can be considered a blocking variable while the weights can be considered as treatments
A blocking variable is a variable used in experiment which is not of primary interest to the experiment observer ( I.e. The tape is supposed to hold on all types of surfaces and not just on Aluminum and wood surface )
It takes Steven 12.25 minutes to run 1.4 miles. At this rate. how long will it take him to run 2.6 miles?
The speed is the distance covered by an object at a particular time. The time it will take for Steven to cover a distance of 2.6 miles is 22.75 minutes.
What is speed?The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
Speed = Distance / Time
Given that it takes Steven 12.25 minutes to run 1.4 miles. Therefore, the rate or speed at which Steven runs is,
Speed = Distance / Time
Speed of Steve = 1.4 miles / 12.25 minutes
Now, if at the same rate Steven runs, then the time it will take for Steven to run a distance of 2.6 miles is,
Speed = Distance / Time
Time = Distance / Speed
Time = 2.6 miles / (1.4 miles / 12.25 minutes)
Time = (2.6 miles × 12.25 minutes)/1.4 miles
Time = 22.75 minutes
Hence, the time it will take for Steven to cover a distance of 2.6 miles is 22.75 minutes.
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Divide the complex numbers and express answer in the form (a+bi)
3-4i/8+2i
Answer:
[tex]\frac{4}{17}-\frac{19}{34}i[/tex]
Step-by-step explanation:
1. Approach
To divide complex numbers, first one must set the problem up as a fraction. The one will multiply the fraction by the complex conjugate. A complex conjugate is a complex number with the imaginary part multiplied by negative one. Since a number over itself equals one, this will ensure that the expression remains true. When one multiplies by the complex conjugate, the difference of squares property complex into play, therefore the denominator simplifies down to a real number (remember one can simplify the powers of (i)). Now all one has to do is divide each element in the complex number in the numerator by the real number in the denominator. If it does not divide evenly, one can just simply the fraction.
2. Solving
Set up as a fraction
[tex]\frac{3-4i}{8+2i}[/tex]
Multiply by the complex conjugate
[tex]\frac{3-4i}{8+2i}*\frac{8-2i}{8-2i}[/tex]
Simplify
[tex]\frac{(3-4i)(8-2i)}{(8+2i)(8-2i)}[/tex]
[tex]\frac{24-6i-32i+8i^{2}}{64-4i^{2}}[/tex]
[tex]\frac{24-6i-32i-8}{64-4(-1)}[/tex]
[tex]\frac{16-38i}{64+4}[/tex]
[tex]\frac{16-38i}{68}[/tex]
[tex]\frac{8-19i}{34}[/tex]
−4x+3y=2
3x−9y=3
yes or no
Answer:
NO
step by step
the answer is no
harriet is 2 years less than a thirnd of her brothers ace. Harriet is 3 years ols. How old is her brother? please help right now
Answer:
her brother is 15 years old
Step-by-step explanation:
let 'b' = her brother's age
Harriet is 3 years old but Harriet is also '1/3b - 2'
3 = 1/3b - 2
5 = 1/3b
b = 5(3) or 15
a manager of company plans to produce 3000 units in a day employing 15 workers working 8 hours.How many units can be manufactured when manager employs 18 workers working 6 hours?
Answer:
2,700 units
Step-by-step explanation:
8/15-1/5
For points or brainliest
Answer:
1/3
Step-by-step explanation:
The answer is 1/3 to find out how look at the picture above!
solve the formula for q
p = 2n + 8q
a. q = p - 2n
b. q = 2n - p / 8
c. q = 2p - n
d. q = 2n - p
e. q = p -2n / 8
please & thank you!!!
Answer:
I think it is B because it makes sense and I have done algebra before.
The distance from New York City to Riverhead is approximately 150 miles. On a map whose scale is 24mi= 2inch, what is the distance between the two locations in inches?
Answer:
12.5 inches
Step-by-step explanation:
To best find this answer, we should set up a proportion. Our first fraction is practically given to us in the problem, and would look like this:
[tex]\frac{2in}{24mi}[/tex]
Next, we need to set up our second fraction. An important thing to make sure of is that the 150 is on the same side as the 24 since they are both miles. Here is what the final equation should look like:
[tex]\frac{2in}{24mi} = \frac{x}{150mi}[/tex]
To solve, just cross multiply and divide! First, multiply 2 by 150, giving you 300. Next, just divide the 300 by the remaining 24, giving you a final answer of 12.5 inches. Here's what the final calculations look like:
2in X 150mi = 300
300 / 24mi = 12.5in
Answer:
12.5 inches is your answer
Can anyone please help me with 13-16 I’m begging anybody
Answer:
-3
Step-by-step explanation:
An even number of negative numbers will give a positive answer. An odd number of negative numbers will give a negative answer.
13-16, 16 is larger than 13 so it's negative
Need help ASAP giving 55 points and a branleist
Answer:
Step-by-step explanation:
1.
Igneous rock can change into sedimentary rock or into metamorphic rock. ... Igneous rock forms when magma cools and makes crystals. Magma is a hot liquid made of melted minerals. The minerals can form crystals when they cool.
2. The three processes that change one rock to another are crystallization, metamorphism, and erosion, and sedimentation. Any rock can transform into any other rock by passing through one or more of these processes.
3. The three types of metamorphism are Contact, Regional, and Dynamic metamorphism. Contact Metamorphism occurs when magma comes in contact with an already existing body of rock.
John roller skates 48km in 3 hours. What is his average speed in kilometers per hour?
Answer:16km/hr
Explanation:
48km/3hr= 16km/hr
What are the prime numbers of 30
Answer:
2,3,5
Step-by-step explanation:
Answer:
2, 3 and 5 are the prime numbers
Step-by-step:
9/10 times 1/5 PLS HURRY I ONLY HAVE 2 MINUTS
19/20 and 23/25 common denominator
Hello!
The common denominator is 100.
~Sophia
PLEASE HELP I WILL GIVE BRAINLEST.
A rectangle with an area of 58 ft² is dilated by a factor of 8.
What is the area of the dilated rectangle?
Enter your answer in the box. Do not leave your answer as a fraction.
ft²
Answer:
The correct answer is 40
Step-by-step explanation:
I took the quiz
Help scroll through the pics
Answer:
there is no pics any problem?
Please help this is due today!
Calculate the unknown missing angle measures.
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
For ABC A= (-3,3) B= (0.2) and C= (-3,1)
For DFE D= (0,6) F= (2,6) and E= (2,3)
Step-by-step explanation:
I believe tha name of a sequence of transformation will be translation and the Reflection
Hope this Helped
Find the value needed for the “?” to make the equation true.
d^?/d^11 = d^7
Answer: ? =__
Answer:
? = 18
Step-by-step explanation:
Answer:
? = 18
Step-by-step explanation:
d^?/d^11 = d^7
d^? = d^11*d^7
d^? = d^(11+7)
d^? = d^18
? = 18