There are 4 pizzas and 3 people.

Use the quadratic formula to solve the equation to the exact value or round to two decimal places.

lys-0071 [83]

First set everything to 0.
${x}^{2} + x - 5$
Giving you A= 1 , B= 1 and C= -5
Then input everything into the quadratic formula and either solve by hand or use a calculator.
Note exact values are found by hand, decimals are found using a calculator.

6 0

2 years ago

National data indicates that 35% of households own a desktop computer. In a random sample of 570 households, 40% owned a deskt

Elan Coil [88]

Answer:

Yes, this provide enough evidence to show a difference in the proportion of households that own a desktop.

Step-by-step explanation:

We are given that National data indicates that 35% of households own a desktop computer.

In a random sample of 570 households, 40% owned a desktop computer.

Let p = population proportion of households who own a desktop computer

SO, Null Hypothesis, $H_0$ : p = 25% {means that 35% of households own a desktop computer}

Alternate Hypothesis, $H_A$ : p $\neq$ 25% {means that % of households who own a desktop computer is different from 35%}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of 570 households who owned a desktop computer = 40%

n = sample of households = 570

So, test statistics = $\frac{0.40-0.35}{{\sqrt{\frac{0.40(1-0.40)}{570} } } } }$

= 2.437

Since, in the question we are not given with the level of significance at which to test out hypothesis so we assume it to be 5%. Now at 5% significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics doesn't lies within the range of critical values of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that % of households who own a desktop computer is different from 35%.

3 0

2 years ago

What is four over nine equal A over 45

QveST [7]

Answer: A = 20

How to Solve:

Just by looking at this problem I can tell that the denominators (9 an 45) are factors of 9. So the second equation is multiplied by 5 from the first equation.

4/9 x 5

4 x 5 = 20
— -—
9 x 5 = 45

So A would be 20.

Another way to solve this would be by multiplying the 1st equations numerator with the second equations denominator:

4 x 45 = 180

Then divide 180 with the 1st equation’s denominator.

180 / 9 = 20

A = 20

5 0

3 years ago

Show that there is no rational number whose square is 5

lozanna [386]

Answer:

Step-by-step explanation:

Take the square root of 5, which is 2.236, aka not a rational number. It doesn't come out to a whole number so therefore there is no rational solution

4 0

3 years ago

Mason asks his friends at school to do his questionnaire. This may not be a good sample to use.

max2010maxim [7]

The sample is his friends. They might be the same group of interests. The sample needs to be random. Even if he went around and grabbed random people he may not have known at his school, it still wouldn't be random bc they could all be bias towards a local sports team or have different interests than someone from somewhere else

5 0

2 years ago