Solution :
It is given that only 13 cards that are Hearts that is used in a certain game.
And 2 hearts to each of the 3 players.
Therefore, the number of ways is
= [tex]$^{13} C_2 \times ^{11} C_2 \times ^{9} C_2$[/tex]
[tex]$= \frac{13 !}{11 ! \times 2!} \times \frac{11 !}{9 ! \times 2!} \times \frac{9 !}{7 ! \times 2!} $[/tex]
[tex]$=\frac{13 !}{7! \times 2! \times 2! \times 2!}$[/tex]
= 120 number of ways
Consider the line y=7x-3.
Find the equation of the line that is parallel to this line and passes through the point (8, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (8, 5).
Answer:
1st question: y=7x-51
Step-by-step explanation:
So for the first question: *aHem*
You rewrite the equation to be 5=7*8+b. The reason why is because since it will be parellel it will have the same slope, and those coordinates that you gave me I just plugged into equation.
Solve equation: 7*8=56 so now it's 5=56+b. Subtract 56 from both sides. -51=b
Rewrite again into y=7x-51. The reason why is because b means y intercept and you are looking for where to start (y-intercept) and keeping the same slope. Parallel means never touching.
A company has developed a training procedure to improve scores on the SAT. Following the training, 100 high school students take the SAT. The average math score is 517, with s = 90. Assuming µ = 500 for the math SAT, test the null hypothesis. Did training significantly improve scores (α = .05, directional)?
Answer:
The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance
Null hypothesis is accepted at 0.05 level of significance
A company has developed a training procedure is significantly improve scores
Step-by-step explanation:
Step(i):-
Given sample mean (x⁻ ) = 517
sample standard deviation (s) =90
Mean of the Population (μ) =500
Null Hypothesis :- H₀ : (μ) =500
Alternative Hypothesis : H₁ : μ ≠ 500
Step(ii):-
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{s}{\sqrt{n} } }[/tex]
[tex]t = \frac{517 -500}{\frac{90}{\sqrt{100} } }[/tex]
t = 1.717
Level of significance
∝ = 0.05
t₀.₀₅ = 1.6604
The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance
Conclusion:-
Null hypothesis is accepted at 0.05 level of significance
A company has developed a training procedure is significantly improve scores
On a number line, what is the distance between -9 and -5?
Answer:
The distance on a number line between -9 and -5 would be 4. This is kinda easy.
Step-by-step explanation:
A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The distance between -9 and -5 on a number line is 4 units.
What is a number line?A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
On a number line, the distance between any two points can be found by subtracting one number from another, then taking its absolute values of it.
Therefore, the distance between -9 and -5 on a number line can be written as,
Distance = |-9 - (-5)|
= |-9 + 5|
= |-4|
= 4
Hence, the distance between -9 and -5 on a number line is 4 units.
Learn more about the Number line here:
https://brainly.com/question/557284
#SPJ2
what is the value of x when 3x < -2x + 15
Answer:
X < 3
Step-by-step explanation:
To solve the equation 3x < -2x+15
the steps are as follow:
+ 2x to both sides
Result: 5x < 15
Then divide by 5 to both sides to get x alone.
Final Product:
x < 3
Please I need some answers
Which is greater 0.35. Or 2/5
Answer:
2/5
Step-by-step explanation:
2 divided by 5 is 0.4 which is greater than .35
Answer:
0.35 < 2 /5
Step-by-step explanation:
Simplifying then comparing both terms 0.35 and 2/ 5 .
0.35 is less than 0.4 which means that the first term is less than the second term.
All whole numbers are integers ( True or false)?
Answer:
false i think sry if im wrong
Step-by-step explanation:
I NEED HELP ASAP IT IS DUE IN 5 minutes
3/4 times x + 7 = -5
Answer:
-16
Step-by-step explanation:
(3/4)x+7=-5
(3/4)x=-12
x=-12(4/3)
x=-16
Suppose there is a 1.2 Fahrenheit drop in temperature for every thousand feet that an airplane climbs into the sky if the temperature on the ground is 64.7 Fahrenheit what will the temperature be when the plane reaches an altitude of 5000 feet
9514 1404 393
Answer:
58.7 °F
Step-by-step explanation:
At 5000 feet, the airplane is 5 times 1000 feet above the ground, so the temperature will have dropped 5 times 1.2 °F.
64.7 - 5×1.2 = 64.7 -6.0 = 58.7
At 5000 feet, the temperature is 58.7 °F.
Are the lines parallel, perpendicular, or neither? 2x-3y=4 and 6y=4x+1
Answer:
parallel
Step-by-step explanation:
What value of g makes the equation 32 + 3g = 4g + 20.5 true
Answer:
g= 11.5
Step-by-step explanation:
32+3g = 4g+20.5
11.5+3g = 4g
11.5 = 1g
11.5 = g
What is 6x3-69+12x4-7x(9x3)+7-1?
Answer:
44
Step-by-step explanation:
6 times 3 is 18 so.. 18 minus 69 would be -36 plus 12 is a positive 1 times 14 would be 14 minus 7 would be 7 7 times 27 would 38 plus 7 would be 45 minus one would be 44
Answer:
-186
Step-by-step explanation:
6x3-69+12x4-7(27)+7-1
18-69+48-189+7-1
-51+48-189+7-1
-3-189+7-1
-192+7-1
-185-1
-186
7/4725 please help meeeeeeee
can someone help meh? ( last slide )
Professor Gersch grades his exams and sees that the grades are normally distributed with a mean of 77 and a standard deviation of 6.Based on the Empirical Rule, between what two grades should you expect to find roughly the middle 95% of the distribution?a. 65 to 89b. 77 to 83c. 71 to 83d. 77 to 89e. 59 to 95
Answer:
The correct option is a. 65 to 89.
Step-by-step explanation:
According to the Empirical Rule in a normal distribution with mean µ and standard-deviation σ, nearly all the data will fall within 3 standard deviations of the mean. The empirical rule can be broken into three parts:
• 68% data falls within 1 standard deviation of the mean. That is P (µ-σ≤X≤ µ+σ) = 0.68.
• 95% data falls within 2 standard deviations of the mean. That is P (µ-2σ≤X≤ µ+2σ) = 0.95.
• 99.7% data falls within 3 standard deviations of the mean. That is P (µ-3σ≤X≤ µ+3σ) = 0.997.
The information provided is:
[tex]\mu=77\\\sigma = 6[/tex]
Use the Empirical rule to compute the middle 95% of the distribution as follows:
[tex]P(\mu-2\sigma\leq X\leq \mu+2\sigma)=0.95\\\\\mu-2\sigma=77-(2\times 6)=65\\\\\mu+2\sigma=77+(2\times 6)=89\\\\\Rightarrow P(65\leq X\leq 89)=0.95[/tex]
Thus, the correct option is a. 65 to 89.
PLEASE PLEASE HELP I NEED IT ASAP
Answer:
c = 122
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesGeometry
Definition of a Line: A line is 180°Step-by-step explanation:
Step 1: Set up equation
(c - 3)° + 61° = 180°
Step 2: Solve for c
Combine like terms: c + 58 = 180Subtract 58 on both sides: c = 122And we have our final answer!
can someone help pls
Answer:
Step-by-step explanation:
1) f(-6)= 3
2)f(0)=3
3)f(1)=4
4)f(3)=6
5)sol. to f(x)=5 is 2
6)sol. to f(x)=0 is -3
A triangle with area 195 square inches has a height that is one less than four times the base. Find the base and the height of the triangle.
Answer:
base = 85 square inches
Step-by-step explanation:
hienght 39 square inches plz give me the brailiest
Answer:
Bace is 10 and hight is 39.
Step-by-step explanation:
What are three different things you know about squares? List them.
Answer:
1) There are 4 sides in a square where all the sides are equal
2) Squares have 90 degree angles!
a nd three) it has 4 equal angles
Answer:
- all four sides are equal
- 4 right angle corners (90 degree corners)
- its also a rectangle with equal sides and a rhombus with right angles.
Step-by-step explanation:
please need help fast
Answer:
6/10
Step-by-step explanation:
The answer is A
-2.45 + 5.5x -4.3x = 1.3 +0.7x
Answer:
The answer would be x=7.5
Step-by-step explanation:
Answer:
x=7.5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2.45+5.5x−4.3x=1.3+0.7x
−2.45+5.5x+−4.3x=1.3+0.7x
Step 2: Combine Like Terms
(5.5x+−4.3x)+(−2.45)=0.7x+1.3
1.2x+−2.45=0.7x+1.3
1.2x−2.45=0.7x+1.3
Step 3: Subtract 0.7x from both sides.
1.2x−2.45−0.7x=0.7x+1.3−0.7x
0.5x−2.45=1.3
Step 4: Add 2.45 to both sides.
0.5x−2.45+2.45=1.3+2.45
0.5x=3.75
Step 5: Divide both sides by 0.5.
0.5x/0.5=3.75/0.5
so
x = 7.5
The picture is up there to answer the answer THANK U PLEASE
What is the y-intercept of y = –3x + 6?
Find the values of x and y.
Answer:
If you have given an equation, you see the x and y in it. Just taking second equation and think any common factor between x's variable. With common factor, multiply both and you will find the value of y and put it in any equation, you will find the value of X.
A $40 autographed and framed poster of the Spice Girls goes up in price to $50. What is the percent of increase in the price?
Answer: it went up 25%
Step-by-step explanation: if it would have went up 50%, that would be $20, meaning it would be $60. It is 25% and it is half of 50% and half of $20 is $10 equaling $50
A $40 autographed and framed poster of the Spice Girls goes up in price to $50. What is the percent of increase in the price?
=
25% increase
Find the volume of a rectangle prism with length 4 m width 6 mans height 11 m.
Answer:
264 m^3
Step-by-step explanation:
4 m * 6 m * 11 m = 264 m^3
Answer:
264
Step-by-step explanation:
Google!
Hope this helps. Good luck!
5w 2-6 + 11 help pls
Answer:
5
2
−
6
+
1
1
5
w
2
−
6
+
11
5w2−6+11
Simplify
1
Add the numbers
5
2
−
6
+
1
1
5
w
2
−
6
+
11
5w2−6+11
5
2
+
5
Step-by-step explanation:
What are parcial products or 235 multiplied by 49
Answer: 11,515
Step-by-step explanation: Hope this helps:)
Answer:
11,155
Step-by-step explanation:
Beacsicly what she said
what do I do?????????
A fact family is made up of three numbers. Just as in any family the members, or numbers, are related and there are always at least four math facts to be made with them. Take, for example, these members of a fact family: 6, 4, and 10.
In the family 6, 4, and 10 they are related because you can add two of the numbers to get the last number.
6 + 4 = 10
You can also switch the first two numbers, using the commutative property of addition, and still get the same answer.
4 + 6 = 10
Just find how they can relate! Hope it helps!
Answer:
3 times 6 = 18 2 times 5 = 10
6 times 8 = 18 5 times 2 = 10
18 divided by 6 = 3 10 divided by 2 = 5
18 divided by 3 = 6 10 divided by 5 = 2
Perform the indicated operation
Answer:
(g o h)(t) = -4t² - 16t + 3
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Composition of functionsStep-by-step explanation:
Step 1: Define
g(t) = -4t + 3
h(t) = -t² + 4t
(g o h)(t) = g(h(t))
Step 2: Find
Substitute: (g o h)(t) = -4(t² + 4t) + 3Distribute -4: (g o h)(t) = -4t² - 16t + 3And we have our final answer!