Which of the following is a quadratic function?

Slove 4x - c = k for x

san4es73 [151]

Answer:

$x=\frac{k+c}{4}$

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The mayor of a town has proposed a plan for the construction of a new community. A political study took a sample of 800 voters i

Hunter-Best [27]

Answer:

A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis $p >0.3$

Step-by-step explanation:

We have the following info given from the problem:

$n= 800$ the random sample of voters selected from the town

$\hat p = 0.34$ represent the proportion of residents favored construction

$p_o = 0.30$ represent the value desired to test.

A political strategist wants to test the claim that the percentage of residents who favor construction is more than 30%, so then that represent our claim and needs to be on the alternative hypothesis.

Based on this the correct system of hypothesis are:

Null hypothesis: $p \leq 0.3$

Alternative hypothesis $p >0.3$

And in order to test this hypothesis we can use a one sample z test for a population proportion and the statistic would be given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

And with the data given we have:

$z=\frac{0.34 -0.3}{\sqrt{\frac{0.3(1-0.3)}{800}}}=2.469$

7 0

3 years ago

A group of 52 people attend a ball game. There were three times as many men as women in the group. Write and solve a system of e

kkurt [141]

Answer:

lets call the children, c, and call adult, a,

c+a= 52 eq 1: a=52-c

c=3a eq 2

take a's value from eq 1 and plug it into eq 2

c=3(52-c)

c=156-3c

4c=156

c=39 the number of children that attended the ball game.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Drag the values to the correct location in the equation. Not all values will be used. Which two values will make the equation tr

Serjik [45]

Answer:

17 and 4.

Step-by-step explanation:

3 0

3 years ago

For each sequence, find the first 4 terms and the 10th term.<br> a) 12-n<br> B 5 - 2n

solong [7]

Answer:

Solution given:

a.

tn=12-n

1 st term =12-1=11

2nd term =12-2=10

3rd term=12-3=9

4th term=12-4=8

10th term=12-10=2

b.

tn=5-2n

1st term=5-2*1=3

2nd term=5-2*2=1

3rd term=5-2*3=-1

4th term=5-2*4=-3

10th term=5-2*10=-15

8 0

3 years ago

Read 2 more answers