Answer:
1.22500
Step-by-step explanation:
Jenna is at a fair with four friends. They all want to ride the roller coaster, but only three people can fit in a car. How many different groups of three can the five of them make
Answer:
They can make 10 different groups of three.
Step-by-step explanation:
The order in which the people are in the car is not important, so we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many different groups of three can the five of them make?
Combinations of 3 from a set of 5. So
[tex]C_{5,3} = \frac{5!}{3!(5-3)!} = 10[/tex]
They can make 10 different groups of three.
In a certain triangle two sides have lengths 5 and 13. The angle between them is 49
degrees. What is the area of the triangle?
Answer:
Area = 24.54
Step-by-step explanation:
two sides have lengths 5 and 13.
Let the two sides be;
a = 5
b = 13
The angle between them is 49
C = 49°
Let the third side be c
Thus, using cosine rule, we can find the side c.
c² = a² + b² - 2ac•Cos C
Plugging in the relevant values, we have;
c² = 5² + 13² - 2(5 × 13)Cos 49
c² = 25 + 169 - 130(0.6561)
c² = 108.707
c = √108.707
c = 10.43
Since we now have 3 sides, from herons formula, we can find the area;
Area = √[p(p − a)(p − b)(p − c)]
Where p is half of the perimeter = (a + b + c)/2 = (5 + 13 + 10.43)/2 = 14.215
Thus;
Area = √(14.215(14.215 - 5)(14.215 - 13)(14.215 - 10.43))
Area = √602.4
Area ≈ 24.54
Dante has been putting one penny in his bank every day. Now he has 161 pennies. For how many weeks has Dante been adding pennies to his bank?
Answer:
23 weeks because the penny is 161 and u dividing 161 by 7 because 1week hace 7 days and calculate 161÷7=23
the answer is 23 week
I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!
Answer:
Your image wont load IM SO SORRY:(
Step-by-step explanation:
Simplify -6(a +8) can someone help me with that with the steps included
Answer:
−6(a+8)
=(−6)(a+8)
=(−6)(a)+(−6)(8)
=−6a−48
Step-by-step explanation:
multiply -6 x a to get -6a and multiply -6 x 8 to get -48 so -6a-48
I GIVEE BRAINLILSTTTT6TTTT
Answer:
,mbn ,bmnbb
Step-by-step explanation:
nnbn bn bn
please help asap !!
the answer is 5/12....
i think thats correct
when the pitcher throws the ball it will travel 10 meters per second how long will it take for the ball to reach the hitter?
part 2
the hitter hits the ball back to the pitcher, the pitcher catches it it takes one second for the ball to reach the pitcher how fast was the ball traveling?
Answer: travel speed is = 10 m/sec
so for 20 meter = 20/10 = 2 sec
Step-by-step explanation:
Light bulbs are normally distributed with an average lifetime of 1000 hours and a standard deviation of 250 hours. The probability that a light bulb picked at random will last between 1400 and 1500 hours is about:
Answer:
The probability that a light bulb picked at random will last between 1400 and 1500
P(14 00≤X≤1500) = 0.032
Step-by-step explanation:
Explanation:-
Given that mean of the Population = 1000
Given that the standard deviation of the Population = 250 hours
Let 'X' be the random variable in a normal distribution
Let X = 1400
[tex]Z = \frac{X-mean}{S.D} = \frac{1400-1000}{250} = 1.6[/tex]
Let X = 1500
[tex]Z = \frac{X-mean}{S.D} = \frac{1500-1000}{250} = 2[/tex]
The probability that a light bulb picked at random will last between 1400 and 1500
P(x₁≤ X ≤x₂) = P(Z₁≤ Z ≤z₂)
= A( Z₂ ) -A(Z₁)
P(1400≤X≤1500) = P(1.6≤ Z ≤2)
= A(2 ) -A(1.6)
= 0.4772-0.4452
= 0.032
Final answer:-
The probability that a light bulb picked at random will last between 1400 and 1500
P(14 00≤X≤1500) = 0.032
ok real quick question how does your teacher give you a D on one of your assignments after they just signed you up for an honor class?
an honor class is something that helps with your collage and could raise you up a grade but my teacher goes ahead and gives me a D she must be missing brain cells right she has to be because that is ridiculous
Answer:
when the signed you up for the honor class they probably expected you to know more
Answer: knowing what an honors course is, she probably thought you were good at the subject. Just because you got one bad grade on an assignment, doesn't mean that you can't be in an honors course. (That... or she really is missing a brain cell or 2)
Step-by-step explanation:
Which describes the relationship between the x- and y-values in the scatter plot?
A)
no association
B)
linear association
C)
positive association
D)
nonlinear association
PLSSS ITS FINNA BE DUE
Answer:
C) possitive association
Step-by-step explanation:
Answer:it would be (d)
Step-by-step explanation:
In Melanie's Styling Salon, the time to complete a simple haircut is normally distributed with a mean of 25 minutes and a standard deviation of 4 minutes. The slowest quarter of customers will require longer than how many minutes (to the nearest tenth) for a simple haircut?
Answer:
Longer than 27.7 minutes.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 25, \sigma = 4[/tex]
The slowest quarter of customers will require longer than how many minutes (to the nearest tenth) for a simple haircut?
Longer than the 100 - 25 = 75th percentile of times, which is X when Z has a pvalue of 0.75. So X when Z = 0.675. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 25}{4}[/tex]
[tex]X - 25 = 4*0.675[/tex]
[tex]X = 27.7[/tex]
So
Longer than 27.7 minutes.
Pls help I need a good grade
Answer:
y=4/7x
Step-by-step explanation:
Graph the point (4,7) and (0,0) because x is pint and y is servings
The equation is y=4/7 x because the slope is 4/7 and it starts at the origin.
Give 50 mg/kg to a child weighing 56 lbs. The drug is in oral suspension of 100 mg/ml. How many mL would the nurse administer per dose to the child?
Answer:
About 13 ml
Step-by-step explanation:
The child weighs 56 lbs. We need to first convert the weight of the child from lbs to kg so that we can know the amount of drug in mg is needed to be given to the child.
1 lb = 0.4536 kg
[tex]56\ lbs=56\ lbs*\frac{0.4536\ kg}{1\ lb} =25.4\ kg\\\\[/tex]
Therefore the amount of mg needed to be administered to the child = 50 mg/kg * 25.4 kg = 1270 mg
Since the oral suspension is in 100 mg per ml, hence:
Amount per dose = 1270 mg / (100 mg/ml) = 12.7 ml ≅ 13 ml
The child should be given 13 ml for each dose.
Please help meee...........
Answer:
to be honest this was hard and even I don't know it but I will give it a shot so I guess you divide or sub I don't know 804 divide by 150? then round your answer to the nearest 10th degree. if this is wrong I deeply apologize
chealsea wants to rearrange her room
Answer:
Good for her.
Answer:
ok wheres the question
Step-by-step explanation:
WILL give brainleist to the right answer
Tim runs 3 miles every 45 minutes. At this rate, how long did it take Tim to run 18 miles?
Answer: 270 minutes or 4 hours and 30 minutes
Step-by-step explanation: 3x6 =18 and 45 x 6= 270
Please help me I will offer 20 points
Answer:
9.3 x 8.5 = 79.05
7.6 x 2.4 = 18.24
an easier way to multiply decimals is to take away decimals and add later
example: 9.3x8.5 > 93x85 = 7905 since there are two places behind the decimal add that many to the solution 7905 > 79.05
What is the unit cost per bottle if a pack of 6 bottles of juice sells for $4.80?
$0.28 per bottle
$28.80 per bottle
$0.80 per bottle
$8.00 per bottle
Answer:
$0.80 per bottle
Step-by-step explanation:
[tex]\frac{4.80}{6}[/tex] = total cost / units
= 0.80
Answer:
$o.80
Step-by-step explanation:
4.80 divided by 6 equals 0.8
0.8 can also be 0.80
find the side of a right triangle
The 2 sides of the right triangle is 25 and 24.
Any multiple of a Pythagorean triple is also considered a Pythagorean triple. Multiplying 3, 4, 5 by 2 gives 6, 8, 10, which is another triple. To see if a set of numbers makes a Pythagorean triple, plug them into the Pythagorean Theorem.
3,4,5 5,12,13 7,24,25 8,15,17 9,12,15
Final Result: 25,24
Select all the expression that have a value greater than 1,653
Step-by-step explanation:
* 1,653 x 4 = 6612
* 1,653 x 13 = 21489
* 1,653 x 1 1/2 = 2479.5
I hope it helps.
PLEASE HELP ME PLEASE
B. Mason put sticky notes on some pages of his math book. The page numbers form this sequence: 3, 5, 8, 13, 21, 34, ... Describe the rule for the sequence.
Answer:
It goes up one number counting each time
Step-by-step explanation:
3 4 5 2 one cap
5 8 13 two cap
(6x2-5x-26) divided by (x-3)
Answer:
Put it In gogle she will solve it !!
Step-by-step explanation:
The question in the picture
Answer: he should also add that the sides are the same and the shapes look same
Step-by-step explanation:
it looks very same though, how is it different?
Combine the following like terms 8y - y =
Answer:
7y
Step-by-step explanation:
y = 1y
8y - 1y = 7y
Which of the following is the product of the rational expressions shown below ? (x + 3)/(x + 2) * (x - 3)/(x - 2)
Answer:
Option D : [tex]\frac{x^2-9}{x^2-4}[/tex] is the correct answer.
Step-by-step explanation:
Given rational expression is:
[tex]\frac{x+3}{x+2}*\frac{x-3}{x-2}[/tex]
In the first step of solving the rational expression, we will multiply the nominators and denominators.
[tex]\frac{(x+3)(x-3)}{(x+2)(x-2)}[/tex]
[tex]\frac{x^2-3x+3x-9}{x^2-2x+2x-4}[/tex]
Now we will solve the alike terms.
[tex]\frac{x^2-9}{x^2-4}[/tex]
The product of rational expression is [tex]\frac{x^2-9}{x^2-4}[/tex]
Hence,
Option D : [tex]\frac{x^2-9}{x^2-4}[/tex] is the correct answer.
Answer:
option D
Step-by-step explanation:
Ap3x
PLEASE HELP ASAP!!!
A new pair of sunglasses normally costs $50. These sunglasses are currently on sale for $12 off.
What percentage off (discount) are the sunglasses?
18x-(-3x+9)help!!! Please
Answer:
21x - 9
Step-by-step explanation: