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hjlf
3 years ago
7

A problem states: "There are 7 more girls than boys in a club. There are 23 members in the club in all. How many girls are there

in the club?"
Let g represent the number of girls.

Which expression represents the number of boys?




g−7

g + 7

7−g

g⋅7






​​ ​x=−4​

​​ ​x=−3​

​​ ​x=−2​

​x=−1
Mathematics
2 answers:
dlinn [17]3 years ago
3 0

Answer:

Step-by-step explanation:

Number of boys = g - 7.

g - 7 + g = 23

2g = 30

g = 15.

The are 15 girls in the class.

Agata [3.3K]3 years ago
3 0

Answer: g-7

Step-by-step explanation:

g = number of girls in the club

b = number of boys in the club.

There are 7 more girls than boys in the club, therefore

g = b + 7            

Subtract 7 from each side.

g - 7 = b + 7 - 7

g - 7 = b

That is,

b = g - 7

Answer:  g - 7

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From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-ciga
jasenka [17]

Answer:

The 90% confidence interval is (0.1897, 0.2285).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-cigarette) in the past week. This means that n = 1186, \pi = \frac{248}{1186} = 0.2091

Construct a 90% confidence interval to estimate the population proportion of Americans age 18-29 who vaped in the past week.

So \alpha = 0.10 , z is the value of Z that has a pvalue of 1 - \frac{0.10}{2} = 0.95, so z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2091 - 1.645\sqrt{\frac{0.2091*0.7909}{1186}} = 0.1897

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2091 + 1.645\sqrt{\frac{0.2091*0.7909}= 0.2285

The 90% confidence interval is (0.1897, 0.2285).

3 0
3 years ago
Consider the function f(x)=x3+3x2â51x+91. What is the remainder if f(x) is divided by (x+9)? Do not include (x+9) in your answer
makkiz [27]

Answer:

The remainder is 64

Step-by-step explanation:

Consider the function f(x)=x^3+3x^2-51x+91

Use synthetic division to divide by x+9

x+9=0, x=-9

divide the given f(x) by -9 using synthetic division

-9               1           3       -51       91

                  0          -9     54        -27              

         --------------------------------------------------

                  1           -6      3         64

The remainder is 64

                 

         

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