At a game show, there are 7 people (including you and your friend) in the front row.
The host randomly chooses 3 people from the front row to be contestants.
The order in which they are chosen does not matter.
There are 7C3=35 ways to choose the 3 contestants.
What is the probability that you and your friend are both chosen?
A. 2/3
B. 5/35
C. 2/35
D. 3/35
Answer:
I think it is B
Step-by-step explanation:
Sorry if it is wrong
The probability that the person and his friends are chosen is 5/35, the correct option is B.
What is Probability?Probability is the likeliness of an event to happen.
There are 7 people (including you and your friend) in the front row.
The host randomly chooses 3 people from the front row to be contestants.
The ways that you both will be chosen is given by ²C₂
The ways in which one more person will be chosen from the rest 5 people is given by
⁵C₁
The number of ways in which the person and his friend is chosen along with the other one person is given by
⁵C₁ * ²C₂ = 5
The ways in which 3 contestants will be chosen from 7 people is 35
So, Probability = 5/35
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please help me........
Answer:
it's in the link on the other comment
Step-by-step explanation:
it's in the link on the other comment
SOMEONE PLEASE HELP ANYONE !
Answer:
x² - y²
Step-by-step explanation:
√x⁴ =x²
= x² - y²
Marcus weighs 45.5 kg what is his weight in grams
Answer: 45500
Step-by-step explanation: 45.5*1000, 1 kg=1000g
Answer:
45500
Step-by-step explanation:
please comment on his
Find out how long it takes a $2900 investment to double if it is invested at 9% compounded quarterly. Round to the nearest tenth of a year.
Answer:
7.8 years
Step-by-step explanation:
Formula
[tex]PV(1+\frac{i}{n})^{nt}[/tex]
we have
[tex]2900(1+\frac{.09}{4})^{4t}=5800\\1.0225^{4t}=2\\4t=log_{1.0225}2\\4t=31.1518\\t=7.787957[/tex]
Which rounds to
7.8
1. 5 times a number decreased by 12 equals 62. What is the number?
Equation:
Solution:
2. One-half of a number is 8. What is the number?
Equation:
Solution:
help me please..tnx
You went out to lunch with three friends and your subtotal was $42 not including the sales tax of 6%.
Calculate what the total bill would be with the sales tax.
Answer:
It's DEFINITELY 2.52
Step-by-step explanation:
Change 6% to a decimal, which will be .06! Times $42 Times.06 and you'll end with the answer $2.52 !!!
Double checking but is this A
Answer:
si
Step-by-step explanation:
si
Use the model to represent 80% as a fraction in simplest form.
0 A 9
10
O
В.
83
100
O
C.
4
5
o
D.
15
20
Answer: 45.
Step-by-step explanation:
Answer:
80% of 100 in fraction form is 4/5
Step-by-step explanation:
Ajogger goes 0.3 km east and then turns south. If the jogger finishes 0.5 km from the starting point, how far south did the jogger go?
Answer:
he went 0.2km south
Step-by-step explanation:
Answer:
He went 0.2km south.
Step-by-step explanation:
Your welcome!
Find the circumference of the coin. Use 3.14 or 22/7 for pi. Remember to have the correct units.
1) Show work on how you got your answer!
2) NO LINKS!
3) NO silly answers!
~Hocus Pocus
Answer: 12.56 cm
Step-by-step explanation:
Pi looks like this π or 3.14 or 22/7
A formula for circumference is: C = 2π r
The radius or r listed in the diagram is 2cm.
1) Plug r into the equation...
C = 2π 2
2) Simplify the equation
C = 4π
3) You can insert 4π to be exact in a calculator or do 4 x 3.14 (its still the same thing but you have to round if you are using this π)
However both answers come out to be 12.56
A hospital directed collects data on birth weight of newborn babies born in the maternity ward the Director find that the birth weights are approximately normally distributed with a mean of 3300 grams and a standard deviation of 525 grams the empirical rule states that in a normal distribution 68% of values are within one standard deviation of the mean 95% of values are within two standard deviation of the mean and 99.7% of values are within three standard deviations of the mean based on empirical rule what percent of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams
Answer:
97.5% of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
The normal distribution is symmetric, which means that 50% of the values are below the mean and 50% are above.
In this problem, we have that:
Mean of 3300, standard deviation of 525.
What percent of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams?
2250 = 3300 - 2*525
2250 is 2 standard deviations below the mean.
Of the 50% of the weights below the mean, 95% are going to be greater than 2250(less than 2 standard deviations of the mean).
Of the 50% of the weights above the mean, 100% are going to be greater than 2250.
So
[tex]p = 0.5*0.95 + 0.5 = 0.975[/tex]
0.975*100% = 97.5%
97.5% of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams.
what is 10.1 = 8+7m plsssssss i neeed help
Answer:
m= 0.3
Step-by-step explanation:
10.1 = 8 + 7m
-8 -8
2.1 = 7m
2.1/7 = 0.3
Answer:
Subtract 8 from both sides of the equation
Simplify
Divide both sides of the equation by the same term
m=0.3
he perimeter of a triangle is 240 feet. The second side is twice as long as the first side. The third side is 40 feet more than the first side. Find the measure of the first side. *
Answer:
66 2/3
Step-by-step explanation:
Let x be the length of the first side
Length of first side: x
Length of second side: 2x
Length of third side: x + 40
x + 2x + x + 40 = 240
3x = 240-40
3x = 200
x = 200/3
x = 66 2/3 (this is a mixed fraction)
a maintenance worker is replacing worn rope on 6 flagpoles.the worker needs 40 feet rope for eqch flagpole. at the hardware store, rope is sold by the yard.how many yards of rope does the workwr need to buy for all 6 flagpoles?
‼️‼️‼️‼️‼️PLEASEEE HURRY ‼️‼️‼️‼️ Use the drop-down menus to explain how to determine the angle measures of any triangle that is
similar to triangle DEF. Click the arrows to choose an answer from each menu.
Answer:
Step-by-step explanation:
70 115 180-25
If you want to find how much liquid a container will hold, you want to find the _____.
area
circumference
square feet
volume
Answer:
volume
Step-by-step explanation:
What properties and conventions do I need to understand (and be able to apply) in order to simplify and evaluate algebraic expressions?
Answer:
So there are alot of various properties that could be used to solve different kinds of algebraic expressions. To solve a simple algebraic equation, most of the times u need to know the, addition, subtractions properties as well as division and multiplication division property.
Hope this helps!
Which of the following equations must also be true? Select three that apply.
Answer:
[tex] \frac{ - r}{ - s} = t[/tex]
[tex] \frac{ - r}{s} = t[/tex]
[tex] \frac{r}{ - s} = - t[/tex]
help meee plzzzz
i dont know what this is
The answer is D, always remember SOH CAH TOA :)
what is the answer for a+b-c?
Can someone help me find the median first quartile second quartile third quartile and the interquartile range
for the questions
4.
5.
6.
7.
A report from 2015 claims that the average salary of a server is $12 per hour. You collect data from a random sample of 30 servers in Atlanta and calculate the average salary for servers from your sample to be $11.00 with a standard deviation of $2.80. Conduct a hypothesis test to determine if the true average hourly wage of a server is different than the claim of $12.
Answer:
Since the calculated value z= -1.956 does not lie in the critical region z= ± 1.96 we conclude that true average hourly wage of a server is not different than the claim of $12.
Step-by-step explanation:
The null and alternate hypotheses are
H0: u= 12 against the claim Ha: u≠ 12
Taking significance level alpha = 0.05
The critical region is z= ± 1.96 for two tailed test
The sample size = n= 30
The sample mean = 11
Sample standard deviation= 2.80
Applying z- test
Z= x-u/s/√n
z= 11-12/2.8/√30
z= -1/0.5112
z= -1.956
Since the calculated value z= -1.956 does not lie in the critical region z= ± 1.96 we conclude that true average hourly wage of a server is not different than the claim of $12.
Help plz:)))I’ll mark u Brainliest
[tex]\frac{245 g SO2 }{} \frac{1 mol SO2 }{64.07 g SO2} \frac{1 mol H2SO3}{1 mol SO2 } \frac{82.09 g H2SO3}{1 mol H2SO3} =314 g H2SO3[/tex]
Step-by-step explanation:
2) What mass of Sulfurous acid is produced, when 245g of Sulfur Dioxide is
reacted with water?
H2O + SO2 → H2SO3
↓ ↑
mol → mol
SO2 H2SO3
\frac{245 g SO2 }{} \frac{1 mol SO2 }{64.07 g SO2} \frac{1 mol H2SO3}{1 mol SO2 } \frac{82.09 g H2SO3}{1 mol H2SO3} =314 g H2SO3
which expression is represented by the phrase "9 less than 5 times a number"?
Blake drew a circle with an area of 1256 cm2. What is the diameter of that circle?
Many countries, especially those in Europe, have significant gold holdings. But many of these countries also have massive debts. The following data show the total value of gold holdings in billions of U.S. dollars and the debt as a percentage of the gross domestic product for nine countries (WordPress and Trading Economics websites, February 24, 2012).
Country Gold Value Debt
China 63 17.7
France 146 81.7
Germany 203 83.2
Indonesia 33 69.2
Italy 147 119
Netherlands 36 63.7
Russia 50 9.9
Switzerland 62 55
U.S. 487 93.2
Required:
a. Using the entire data set, develop the estimated regression equation that can be used to predict the debt of a country given the total value of its gold holdings.
b. Use residual analysis to determine whether any outliers or influential observations are present.
c. Compare the estimated slope for the new estimated regression equation to the estimated slope obtained in part (c).
Answer:
Regression model = y = 0.123X + 49.077
Influential point = US ; 487 ; 93.2
Slope with influential point present = 0.123
Slope without influential point = 0.342
Step-by-step explanation:
Given the data:
Gold value (X) :
63
146
203
33
147
36
50
62
487
Debt (Y) :
17.7
81.7
83.2
69.2
119
63.7
9.9
55
93.2
Using the online regression calculator :
The model obtained is :
y = 0.123X + 49.077
y = predicted variable ; debt
Slope = 0.123
x = predictor variable ; gold value
Intercept = 49.077
The influential observation :
US ; 487 ; 93.2
Dropping this observation from our data and fitting the model ;
Model without the influential point :
y = 0.342X+ 30.769
Slope with influential point present = 0.123
Slope without influential point = 0.342
Find the volume of the solid
Answer:
Volume of the given pyramid is 68 mm³.
Step-by-step explanation:
Figure given in the picture is a pyramid.
And volume of a pyramid is given by the formula,
Volume = [tex]\frac{1}{3}(\text{Area of the base)(\text{Height})}[/tex]
Area of the base = 68 mm²
Height of the pyramid = 3 mm
Therefore, volume of the pyramid = [tex]\frac{1}{3}(68)(3)[/tex]
= 68 mm³
Volume of the given pyramid is 68 mm³.
Solve for x then find the measure of arc GF.
Answer:
Step-by-step explanation:
180 = x + 135 + x + 65
-20 = 2x
-10 = x
x = -10
GF = 55°
The normal curve shown represents the sampling distribution of a sample mean for sample size n = 25, selected at random from a population with standard deviation \sigma_xσ x . Which of the following is the best estimate of the standard deviation of the population, \sigma_xσ x ?
The best estimate of the standard deviation of the population is 75
How to determine the estimate of the standard deviation of the population?The given parameter is:
Sample size, n
The estimate of the standard deviation of the population is calculated using:
[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]
This gives
[tex]\sigma_x = \frac{\sigma}{\sqrt 25}[/tex]
Evaluate the square root
[tex]\sigma_x = \frac{\sigma}{5}[/tex]
Multiply both sids by 5
[tex]\sigma = 5\sigma_x[/tex]
From the normal curve, we have:
[tex]\sigma_x = 15[/tex] -- the difference between the scores
So,we have:
[tex]\sigma = 5 * 15[/tex]
[tex]\sigma = 75[/tex]
Hence, the estimate of the standard deviation of the population is 75
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