Answer:
[tex]Pr = \frac{1}{26}[/tex]
Step-by-step explanation:
Given
In a deck of card, we have:
[tex]Cards = 52[/tex]
[tex]King[Heart] = 1[/tex]
[tex]Queen[Spade] = 1[/tex]
Required
The probability of obtaining a king of heart or a queen of spade.
The probability of king of heart is:
[tex]P(King[Heart]) = \frac{n(King[Heart])}{Cards}[/tex]
[tex]P(King[Heart]) = \frac{1}{52}[/tex]
The probability of queen of spade is:
[tex]P(Queen[Spade]) = \frac{n(Queen[Spade])}{Cards}[/tex]
[tex]P(Queen[Spade]) = \frac{1}{52}[/tex]
The required probability of obtaining a king of heart or a queen of spade. is:
[tex]Pr = P(King[Heart]) + P(Queen[Spade])[/tex]
[tex]Pr = \frac{1}{52}+ \frac{1}{52}[/tex]
Take LCM
[tex]Pr = \frac{1+1}{52}[/tex]
[tex]Pr = \frac{2}{52}[/tex]
Simplify
[tex]Pr = \frac{1}{26}[/tex]
7th grade math
The sales tax on an item is 6.5%. The total cost of the item is the price, p, plus the tax. Which expression represents the total cost?
A. 0.935p B. p + 1.065p C. 1.065p D. p + 6.5p
Answer:
B
Step-by-step explanation:
You add tax to the price not multiply
Answer:1.065p
Step-by-step explanation:
A company has a new process for manufacturing large artificial sapphires. In a trial run, 37 sapphires are produced. The mean weight for these 37 gems is 6.75 carats, and the sample standard deviation is 0.33 carat. Obtain a 95% confidence interval for the true mean weight of all sapphires produced by the new process. Interpret your results in the context of the problem. State the margin of er
Answer:
The margin of error is of 0.11 carats.
The 95% confidence interval for the true mean weight of all sapphires produced by the new process is between 6.64 and 6.86 carats. The interpretation is that we are 95% sure that the true weight of all sapphires produced by the company using the new process is between these two values.
Step-by-step explanation:
We have the standard deviation for the sample, which means that we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 37 - 1 = 36
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 36 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.05}{2} = 0.975[/tex]. So we have T = 2.0281
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0281\frac{0.33}{\sqrt{37}} = 0.11[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The margin of error is of 0.11 carats.
The lower end of the interval is the sample mean subtracted by M. So it is 6.75 - 0.11 = 6.64 carats
The upper end of the interval is the sample mean added to M. So it is 6.75 + 0.11 = 6.86 carats.
The 95% confidence interval for the true mean weight of all sapphires produced by the new process is between 6.64 and 6.86 carats. The interpretation is that we are 95% sure that the true weight of all sapphires produced by the company using the new process is between these two values.
Find the measure of major arc QPN.
M
0
coll
IN
Answer:
218°
Step-by-step explanation:
m(arc)QPN = m(arc)QPO + m(arc)NO
m(arc)QPN = 180° + 38°
m(arc)QPN = 218°
2. Julio has 1/6 pound of candy. He puts the candy
into 4 bags. Write an expression that represents the
fraction.
Answer:
4/6
Step-by-step explanation:
(1/6 times 4)make 4 into a fraction and that is 4/1 multyply the numerator and denominator 6x1=6 so 6 is the denominator and 4x1 is 4 so 4 is the numerator so its 4/6
The expression that represents the fraction is 1/6 * 1/4 or 1/24
How to determine the fraction?The given parameters are:
Amount of candy = 1/6 pounds
Number of bags = 4
The expression that represents the amount in each bag is:
Amount = Amount of candy/Number of bags
This give
Amount = 1/6 / 4
Express as product
Amount = 1/6 * 1/4
Evaluate
Amount = 1/24
Hence, the expression that represents the fraction is 1/6 * 1/4 or 1/24
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Help me with this question
Answer:
72m^2
Step-by-step explanation:
first split the figure into 2 parts, the square and the triangle. The area of the sqaure is base times height or 6m times 10m which gives you 60m^2. For the triangle area you multiply base times height and divide it by 2, the base is 6m and the height is 4m so it will be 4x6 divided by 2 which gives you 12m^2. Lastly you add them both up, 60m^2 +12m^2 and you get 72m^2.
what is the surface area
Answer:
Step-by-step explanation:
total surface area=3×(1/2×10×6.7)+1/2×10×8.7=3×(33.5)+43.5
=100.5+43.5
=144
JKLM is a rectangle. Find the value of x.
Help me fast please
Answer:
x = 10
Step-by-step explanation:
3x + 38 = 7x - 2
subtract 3x from both sides ogf the equation:
38 = 4x - 2
add 2 to each side:
40 = 4x
divide both sides by 4:
x = 10
Find the area of the composite figure.
9 ft
4 ft
6 ft
Could someone please do this for me ASAP this is for math!
Answer:
Step-by-step explanation:
[tex]x^{2}[/tex]+x-20
use FOIL
(x - 4)(x+5)
x-4=0
x+5=0
4 and negative 5 are the factors
What is the solution to Three-fourths a greater-than negative 16?
a greater-than negative 21 and one-third
a less-than negative 21 and one-third
a greater-than 21 and one-third
a less-than 21 and one-third
Answer:
A
Step-by-step explanation:
Either A or D, this question made me lose braincells, you should get a new teacher
Answer:
A
Step-by-step explanation:
I did the test :)
For every 2 hours, approximately $1,186 worth of product is sold to consumers. How much money will the company for an entire month (30 days)?
I believe that the answer is $426,960.
I hope this helps!
if anyone could help me it would helpful :)!!!
Answer:
the answer is 74 like the other corner
Answer: C. 74
Step-by-step explanation: This is an isosceles trapezoid based on the diagram showing that the two legs are equal. By theorem 53 which states that "Base angles of an isosceles trapezoid are equal." angle TWV would have to be equal to angle UTW.
I need the surface area again plz
Answer:
31
Step-by-step explanation:
A=2(wl+hl+hw)
l -Length
w-Width
h-Height
A=2(wl+hl+hw)=2·(1·2+4.5·2+4.5·1)=31
She mixes nuts, raisins and oats in the ratio 3:2:5 by weight. Babajan uses 60 grams of nuts. Work out the weight of raisins she uses to make the breakfast cereal
Answer:
weight of raisins : 40
Step-by-step explanation:
nuts : raisins : oats
3:2:5= 60: ? : ?
60÷3 = 20
raisins : 2×20 = 40
What is the slope of the line shown below?
(9, 1) and (-3, -7
Answer:
The slope is 4
Step-by-step explanation:
I think it's right
What is the area of this green rectangle? | 7 in. 3 in.
Answer:
I think 21 in.
7 x 3 = 21
Hope this helps.
DF and GI are parallel lines.
Which angles are alternate interior angles?
Answer:
your answer is no. d . Because of alternate <
6 pounds of sugar for $3 how much per pound
Answer:
$0.5
Step-by-step explanation:
3/6 = 0.5
Which statement is true about
Answer:
About what and give me the picture
Write 3 1/9 as an improper fraction.
The improper fraction of the given mixed fraction is [tex]3\dfrac{1}{9}[/tex].
When the numerator exceeds or is equal to the denominator, the fraction is said to be inappropriate. 5/2 and 8/5, for instance, are incorrect fractions. The numerator and denominator are the two components of any fraction.
The given fraction is:
[tex]3\dfrac{1}{9}[/tex]
To convert this fraction into an improper fraction,
Multiply 3 with 9 then add it to the numerator,
[tex]\dfrac{3\times 9 + 1}{9} \\\\\dfrac{27 + 1}{9}\\\\ \dfrac{28}{9}[/tex]
Therefore,
[tex]3\dfrac{1}{9}[/tex] [tex]= \dfrac{28}{9}[/tex]
Hence,
The improper fraction of [tex]3\dfrac{1}{9}[/tex] is [tex]\dfrac{28}{9}[/tex].
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please help me I've been asking for this question for a while and I keep getting those spam messages please help me 15pts
How would you go about finding the confidence interval of say 90% or 95% for any given distribution scenario?
Answer:
You'd want to divide.
Step-by-step explanation:
Let's say you got a 9/10 on a test.
You'd do 9 divided by 100 and multiply it by 10 to get 90%
That is how you solve a percentage problem
FORMAT IN LESS DETAILED EXPLANATION:
9/100x10=90%
Nine divided by one-hundred times ten equals ninety percent
Can someone tel me which ones i need to put? I need to put 2.
Answer:
B C E are the three crt options
Step-by-step explanation:
An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division. The structure of an expression is: Expression = (Number, Math Operator, Number)
Answer:
A and C are equations
Step-by-step explanation:
B and E are inequalities
D is an expression
Find area using law of sines
Answer:
4
Step-by-step explanation:
HOPE THIS HELPED!!! I TRIED AND REMEMBERED
The multiplicative inverse of -2¹/₇ is
A recipe calls for 3 cups of sugar for every 5 cups of water. How many cups of sugar are needed for 25 cups of water?
70×2+20×30+19
are you okk guys❤
Answer: ...BEDMAS..
steps,..
70×2+20×30+19
140+600+19
740+19
=759
.... and I'm not all fine lol...wau guy??
8.82 is 21% of what number?
Answer:
42 I think, i could be wrong
Step-by-step explanation:
Barbara was asked to create a set of numbers that contained only natural numbers. Which of the sets
does NOT contain only natural numbers?
24
А
{31, 15, 23, 4, 300,
20
B
19, 100, 4, 12, 6,
c {5, 3, 8, 14, 0,
1, 21
D 22, 7, 9, 11, 28, 4.0)
Answer:
D
Step-by-s:
Ya que el 4.0 no es un número natural, es un número decimal (Z - número entero).
Since 4.0 is not a natural number, it is a decimal number (Z - whole number).
Can you help me solve this it’s pretty easy but for you guys
Answer:
x - 81 = 321
adding 81 on both sides
x-81+81= 321+81
x= 402
Answer:
402
Step-by-step explanation:
81+321=402-321=81 n=402
A ship takes 5 hours to sail 75 kilometrs. What is its
speed?
A ship takes 5 hours to sail 75 kilometres. What is its speed ?
Answer:-Given:-Distance = 75 kilometres.
Time = 5 hours.
To Find:-It's speed.
Solution:-We know,
[tex] { \boxed{\bf{\rm \red {Speed \: = \frac{Distance}{Time}}}}} [/tex]
So, Speed = [tex] \bf \frac{75}{5} [/tex]
Speed = [tex] \bf 15 [/tex]
It's speed is 15 km/hr. [Answer]Step-by-step explanation:
[tex] \: \: here \: is \: your \: solution \\ \\ distance \: covered \: by \: ship \: = 75km \\ \\ time \: taken \: by \: by \: ship \: = 5hrs \\ \\ speed \: of \: ship = distance \div time \\ speed \: = 75/5 \\ \\ speed \: = 15km/hr \\ \\ hope \: it \: helps[/tex]