Which linear equation represents the data given in the table?

a torch and a battery cost $2.50 all together. the torch costs $1.50 more than the battery. what fraction of the total price is

Papessa [141]

The battery would be $. 50 meaning the torch is $2.00. 2 dollars is 80% of $2.50 meaning the torch is 80% of the total price.

4 0

4 years ago

Four people share 2/3 pounds of peanuts equally.What fraction of a pound of peanuts does each person receive

JulsSmile [24]

Answer: 1/6 of a pound.

Step-by-step explanation: Divide 2/3 pounds by 4 people. To do this, multiply 2/3 by 4's reciprocal, which is 1/4. The reciprocal of a number is basically the reverse form of that number. 4 as a fraction is 4/1. The reciprocal of that would be 1/4. Hopefully you understand.

2/3 times 1/4 is 2/12. Simplify by dividing 2/12 by 2 and 12's greatest common factor: 2. 2 divided by 2 is 1; 12 divided by 2 is 6. Your final answer is 1/6.

4 0

3 years ago

I need help asap thanks

vfiekz [6]

To start, let’s put order the amounts of candy in numerical order

2, 4, 5, 7, 8, 11, 11

Now let’s look at the ranges given

0-3, 3-6, 6-9, 9-12

Now let’s sort how many bags are in each range

There’s one bag between 0-3, so raise the first bar to one

There’s 2 bags between 3-6, so raise the second bar to two.

There’s two more bags between 6-9, so raise the third bar to two

Finally, there’s two bags between 9-12, so raise the last bar to two.

4 0

3 years ago

What two factors multiply to -90 add up to 27

JulsSmile [24]

Answer:

30 and -3

Step-by-step explanation:

30 x -3=-90

30-3=27

7 0

3 years ago

Lee is a teacher at a local high school who wanted to assess whether or not dogs physically resemble their owners enough for peo

frozen [14]

Answer:

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing

Step-by-step explanation:

From the question we are told that

The sample size is n = 16

The population proportion = 0.5

The number that of students that picked out the teachers dog is k = 14

Generally the sample proportion is mathematically represented as

$\^ p =\frac{k}{n}$

=> $\^ p =\frac{14}{16}$

=> $\^ p = 0.875$

The null hypothesis is $H_o : p = 0.5$

The null hypothesis is $H_o : p > 0.5$

Generally the test statistics is mathematically represented as

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

$z = \frac{0.875 - 0.50 }{\sqrt{ \frac{0.50 (1- 0.50 )}{16} } }$

$z = 3$

Generally the p-value is mathematically represented as

$p-value = P(Z > 3)$

From the z table the probability of Z>3 is mathematically represented as

$P(Z > 3) = 0.0013499$

So

$p-value = 0.0013499$

Let assume the level of significance is $\alpha = 0. 05$

Generally from the value obtained we see that $p-value < \alpha$ Hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing

3 0

4 years ago