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julsineya [31]
2 years ago
6

There are 15 people in a party, including Hannah and Sarah. We divide the 15 people into 3 groups, where each group has 5 people

. What is the probability that Hannah and Sarah are in the same group?
Mathematics
2 answers:
creativ13 [48]2 years ago
8 0

Answer:

0,333

Step-by-step explanation:

by fractions

Sindrei [870]2 years ago
5 0

Answer:15/3

Step-by-step explanation:

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A hair salon in Cambridge, Massachusetts, reports that on seven randomly selected weekdays, the number of customers who visited
morpeh [17]

Answer:

a: 28 < µ < 34

Step-by-step explanation:

We need the mean, var, and standard deviation for the data set.  See first attached photo for calculations for these...

We get a mean of 222/7 = 31.7143

and a sample standard deviation of: 4.3079

We can now construct our confidence interval.  See the second attached photo for the construction steps.

They want a 90% confidence interval.  Our sample size is 7, so since n < 30, we will use a t-score.  Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)

The t-value is: 1.943

We rounded down to the nearest person in the interval because we don't want to over estimate.  It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate.  It's better to use 28 and underestimate a little when considering customer flow.

5 0
2 years ago
If 10x + 2 = 7, what is the value of 2x?
Julli [10]

For this case we have the following equation:

10x + 2 = 7

From here, we clear the value of x.

We have then:

10x = 7-2\\10x = 5\\x = \frac {5} {10}\\x = \frac {1} {2}

Then, we look for the value of 2x. We have then:

2x = 2 \frac {1} {2}\\2x = \frac {2} {2}\\2x = 1

Answer:

The value of 2x is given by:

2x = 1

6 0
2 years ago
Read 2 more answers
Gianna is going to throw a ball from the top floor of her middle school. When she throws the hall from 48 feet above the ground,
vazorg [7]

Answer:

So, the times the ball will be 48 feet above the ground are t = 0 and t = 2.

Step-by-step explanation:

The height h of the ball is modeled by the following equation

h(t)=-16t^2+32t+48

The problem want you to find the times the ball will be 48 feet above the ground.

It is going to be when:

h(t) = 48

h(t)=-16t^{2}+32t+48

48=-16t^{2}+32t+48

0=-16t^{2}+32t+48 - 48

16t^{2} - 32t = 0

We can simplify by 16t. So

16t(t-2)= 0

It means that

16t = 0

t = 0

or

t - 2 = 0

t = 2

So, the times the ball will be 48 feet above the ground are t = 0 and t = 2.

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2 years ago
A sequence is defined recursively using the formula f(n + 1) = –0.5 f(n) . If the first term of the sequence is 120, what is f(5
balu736 [363]
Hello,

f(1)=120\\&#10; f(2)=-\frac{1}{2}*120=-60\\ &#10; f(3)=-\frac{1}{2} *(-60)=30\\ &#10; f(4)=-\frac{1}{2} *(30)=-15\\ &#10; f(5)=-\frac{1}{2} *(-15)=\frac{15}{2}\\&#10;
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2 years ago
Determine which of (a)-(d) form a solution to the given system for any choice of the free parameter. (HINT: All parameters of a
Alecsey [184]

Answer:

Please see attachment

8 0
2 years ago
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