the ratio is 24:30
or the simplified version is 4:5
You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first card is a two and the second card is a ten.
Answer:
[tex]\frac{4}{52} \times \frac{4}{51} = \frac{16}{2652} = 0.00603 = 0.603\%[/tex]
Step-by-step explanation:
There are 52 cards in a standard deck, and there are 4 suits for each card. Therefore there are 4 twos and 4 tens.
At first we have 52 cards to choose from, and we need to get 1 of the 4 twos, therefore the probability is just
[tex]\frac{4}{52}[/tex]
After we've chosen a two, we need to choose one of the 4 tens. But remember that we're now choosing out of a deck of just 51 cards, since one card was removed. Therefore the probability is
[tex]\frac{4}{51}[/tex]
Now to get the total probability we need to multiply the two probabilities together
[tex]\frac{4}{52} \times \frac{4}{51} = \frac{16}{2652} = 0.00603 = 0.603\%[/tex]
Find the missing side round to the nearest tenth
======================================================
Work Shown:
sin(angle) = opposite/hypotenuse
sin(29) = x/24
24*sin(29) = x
x = 24*sin(29) ..... exact value
x = 11.635430885912 .... approximate value
x = 11.6
To get the approximate value, you'll need a calculator. Make sure the calculator is in degree mode.
Max needs to paint a wall that is shaped like a square. He knows that the area of the wall is 75 ft2 . He needs to find the height of the wall. Find the height of the wall to the nearest tenth of a foot.
Answer:
8.7 feet
Step-by-step explanation:
Use the square area formula, a = s², where s is the side length of the square.
Plug in the area and solve for s:
a = s²
75 = s²
√75 = s
8.7 = s
So, to the nearest tenth of a foot, the height is 8.7 feet
A data set is made up of the values 2, 3, 7, 8, 9, and 13.
The table shows the distance between each value and the mean of 7.
Data value Distance between
value and mean
2 5
3 4
7 0
8 1
9 2
13 6
Sum of distances 18
What is the mean absolute deviation (MAD) of the data set?
help please
Answer:
3
Step-by-step explanation:
Given the data :
2, 3, 7, 8, 9, 13
2 5
3 4
7 0
8 1
9 2
13 6
The mean, = Σx / n ; n = sample size
Mean = 42 / 6 = 7
The mean absolute deviation = Σ|x - mean| / n
The mean absolute deviation is Hence,
(5 + 4 + 0 + 1 + 2 + 6) / 6
Mean absolute deviation = 18 / 6
Mean absolute deviation = 3
Write the equation of the line in fully simplified slope-intercept form.
What would be an appropriate domain if the function hin) gives the number
of man-hours it takes to assemble n engines in a factory in a day, subject to a
maximum of 300 engines?
Answer:
assuming that you are NOT allowed to build 1/2 of an engine or that you dont destroy any of them in the process of building them ...
"all positive integers less than or equal to 300"
Step-by-step explanation:
i need the answer to this help PLEASE
Answer:
B
Step-by-step explanation:
At 5 hours the distance traveled is 200 miles. 9 hours is less than double 5 hours so it is 360 miles.
Solve this pleaseeeeeeeeeee
Answer:
10d
Step-by-step explanation:
5d on 1 side, double it to get 10d cuz from Point O to Point D, y increases from 0 to 5d and since the triangles are congruent, we can add another 5d (or in total 10d).
Use the compound interest formula to find the annual interest rate, r, if in 2 years an investment of 4,000 grows to 4410 The rate is %.
Answer:
5%
Step-by-step explanation:
Bank amount=PA*(1+r/100)^t
4410=4000*(1+x/100)^2
1.05=(1+x/100), x=5%
The number of perpendicular bisectors a segment can have is:
1 point
a) 0
b) 1
c) 3
d) 10
Answer:
0
Step-by-step explanation:
0co
A capark has 34 rows and each row can acommodate 40 cars. If there are 976 cars parked, how many cars can still be parked?
Answer:
384 cars
Step-by-step explanation:
To find the total number of spaces in the carpark, we must multiply the number of rows by how many cars they can accommodate:
34 ⋅ 40 = 1360
As you can see, we have 1360 total spaces. Since there are 976 cars parked, and we want to find out how many spaces are left, we have to subtract the amount of cars parked from the total spaces.
1360 - 976 = 384
Therefore, our answer is 384, specifically, 384 cars.
Answer:
384 cars.
Step-by-step explanation:
40 * 34 - 976
= 1360 - 976
= 384.
Which number line shows the solution for n + 3 < 12?
Answer:
None of them
Step-by-step explanation:
n+3<12
(Subtract 3 from both sides)
n<9
(n is less than 9, so n is everything left of 9)
(the inequality symbols: > and < are an open dot)
(none of the choices display n<9 with an open dot, so none of the options are correct)
(if you meant < with a line underneath it, then the dot would be filled, and the answer would be D)
What is the shortest distance Jill can travel is she leaves her house, goes to City Hall, to the Post Office, and then returns home?
A. 9 miles
B. 16 miles
C. 38 miles
D. 48 miles
Can you post an image of the map?
Answer:
i believe that the answer is 38 please trust me
Please show work. The way that you solve for surface area and vol confuse me.
Answer:
search up the formula
Step-by-step explanation:
Write a simple algorithm to add two numbers
Answer:
Write an algorithm to add two numbers entered by user. Step 2: Declare variables num1, num2 and sum. Step 3: Read values num1 and num2. Step 4: Add num1 and num2 and assign the result to sum.
How many ways are there to rearrange the letters of the word: COMBINATION?
Answer: 4,989,600 different ways
Step-by-step explanation:
which lines are parallel?
Answer:
Lines 'p' and 'q' are parallel I believe!
Step-by-step explanation:
They are the only two lines relating to angles 8 and 11 of the three listed pairs.
Answer:
p and q are parallel
Step-by-step explanation:
Hi,there,can you solve this equation.
4x*sqrt(2x-x²)=2x-1
Answer:
Step-by-step explanation:
4x*sqrt(2x-x²)=2x-1
sqrt(2x-x²)=(2x-1)/4x
2x-x² = 4x^2 -4x + 1 /(16x^2)
32x^3 - 16x^4 = 4x^2 -4x + 1
[tex]-16x^4+32x^3-4x^2+4x-1=0\\[/tex]
[tex]x = 1.92887[/tex]
Please help!!
Find BD
Answer: [tex]8\sqrt{2}[/tex]
==========================================================
Work Shown:
Focus entirely on triangle ABD (or on triangle BCD; both are identical)
The two legs of this triangle are AB = 8 and AD = 8. The hypotenuse is unknown, so we'll say BD = x.
Apply the pythagorean theorem.
[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\x = \sqrt{8^2 + 8^2}\\\\x = \sqrt{2*8^2}\\\\x = \sqrt{8^2*2}\\\\x = \sqrt{8^2}*\sqrt{2}\\\\x = 8\sqrt{2}\\\\[/tex]
So that's why the diagonal BD is exactly [tex]8\sqrt{2}\\\\[/tex] units long
Side note: [tex]8\sqrt{2} \approx 11.3137[/tex]
How does the area below the mean compare to the area above the mean in a normal distribution?
A. the areas are always equal regardless of the mean
B. the areas are sometimes equal depending upon the standard deviation of the distribution
C. the area above the mean is larger since the values are larger as you move above the mean
D. the areas are sometimes equal depending upon the value of the mean
Answer:
A.
Step-by-step explanation:
that is the definition of "mean". it cuts the possible outcomes weighed with their probabilities (actual occurrences vs. possible occurrences) in 2 halves.
The areas are always equal regardless of the mean.
option (a) is correct.
What is normal distribution?A probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
The standard normal distribution is a probability distribution, so the area under the curve between two points tells you the probability of variables taking on a range of values. The total area under the curve is 1 or 100%.
Therefore ,the areas are always equal regardless of the mean.
Learn more details about normal distribution:
https://brainly.com/question/24273691
#SPJ5
Find the missing length indicated
Answer:
60
Step-by-step explanation:
Use similar triangles or the ratios from the right triangle altitude theorem.
x/36 = (64 + 36)/x
x² = 3600
x = 60
Find the Antilog of 547.840
Answer:
It's impossible because the figure is greater than 10
Step-by-step explanation:
[tex]{ \boxed{ \bf{antilog \: of \: x = \frac{x}{ log} = {10}^{x} }}}[/tex]
Therefore:
[tex]{ \sf{anti(547.840) = {10}^{547.840} }} \\ { \tt{ \red{math \: error \: !}}}[/tex]
find x
please help!!
Answer: [tex]9\sqrt{3}[/tex]
==========================================================
Explanation:
For any 30-60-90 triangle, the short leg is always half the hypotenuse.
This makes the short leg to be 18/2 = 9 units long.
We then multiply this by [tex]\sqrt{3}[/tex] to get the length of the long leg.
[tex]\text{long leg} = (\text{short leg})*\sqrt{3}\\\text{long leg} =9\sqrt{3}[/tex]
Or you could use the pythagorean theorem to solve [tex]x^2+9^2 = 18^2[/tex] and you should get [tex]x = \sqrt{243} = 9\sqrt{3}[/tex]
A newsletter publisher believes that less than 61% of their readers own a laptop. Is there sufficient evidence at the 0.02 level to substantiate the publisher's claim? State the null and alternative hypotheses for the above scenario.
Answer: See explanation
Step-by-step explanation:
From the information given in the question, we are informed that a newsletter publisher believes that less than 61% of their readers own a laptop.
The null hypothesis will be: H0: p ≥ 0.61
The alternative hypothesis will be: Ha: p < 0.61.
Catherine Chao, Director of Marketing Research, needs a sample of households to participate in the testing of a new toothpaste package. She chooses thirty-six of her closest friends. Catherine's sample is a _____________.
Answer:
Convenience sampling.
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
There are various types of sampling used by researchers and these are;
1. Random sampling.
2. Systematic sampling.
3. Stratified sampling.
4. Cluster sampling.
5. Quota sampling.
6. Convenience (opportunity) sampling.
Convenience sample can be defined as a sampling technique in which the representatives to be used are easily accessible. For example, a researcher using a social media poll such as Twitter polls.
In this scenario, Catherine Chao, Director of Marketing Research, chooses thirty-six of her closest friends to participate in the testing of a new toothpaste package. Thus, Catherine's sample is a convenience sampling.
The value of 4√(10) -2 is
Answer:
8√2
Step-by-step explanation:
4√(10) -2
= 4√8
=4√4×2
=4×2√2
=8√2
Which of the following is equivalent to the expression below
Answer:
Could you add a picture or answer choices so we know what to choose from?
Derive the explicit rule for the pattern: 3, 0, - 3, - 6, - 9, ...
Answer:
Step-by-step explanation:
a1 = 3
d = -3
an = a1 + (n - 1)*d
an = a1 + (n - 1)*-3
Try it
Let n = 5
a5 = 3 + (5 - 1)*-3
a5 = 3 + 4*-3
a5 = 3 - 12
a5 = - 9 which is exactly what it should be.
The interesting one to try is n = 2
a2 = a1 + (2 - 1)*-3
a3 = 3 + 1(-3)
a3 = 3 - 3
a3 =0
Which is exactly what the second term is. It's interesting because you would never guess that 0 is what you get.
An Arabian camel can travel 20 miles in 8 hours, carrying a 300-pound load on its back. At this rate, how far can the camel travel in 10 hours?
Answer:
25 miles
Step-by-step explanation:
Given that:
Cammel can travel 20 miles in 8 hours;
The traveling rate or speed = distance / time
Rate = 20 miles / 8 hours = 2.5 miles per hour
The distance traveled in 10 hours at this rate will be :
Distance = speed or rate * time
Distance = 2.5 mph * 10 hours
Distance traveled = 25 miles
A poll of 400 people from Dobbs Ferry showed 250 preferred chocolate raspberry coffee while 170 out of 350 in Irvington preferred the same flavor. To test the hypothesis that there is no difference in preferences in the two villages, what is the alternate hypothesis
Answer: The alternate hypothesis would disprove the null hypothesis and state that there are a significant difference in preferences/proportions between the two villages.
For instance, let's say:
p₁ = proportion of preference from Dobbs Ferryp₂ = proportion of preference from IrvingtonThe null hypothesis would be that p₁ = p₂, while the alternative hypothesis would be that p₁ ≠ p₂.
