All categories

4 years ago

18000 grams greater or less than 10 kilograms?

1 answer:

4 0

First convert 18000 grams into kilograms by dividing by 1000;
$\frac{18000}{1000}$
=18kg
Thus 18000 grams is greater than 10 kilograms

You might be interested in

What quadratic function does the graph represent?

nekit [7.7K]

Answer:

$f(x)=-\frac{1}{3}(x-2)^2+4$ ,

Step-by-step explanation:

The function of the graph can be written in the vertex form as

$f(x)=a(x-h)^2+k$ , where V(h,k)=V(2,4) is the vertex of the quadratic function.

We substitute the value to obtain;

$f(x)=a(x-2)^2+4$ ,

The point (5,1) lies on the graph so we use it to determine the value of a.

$1=a(5-2)^2+4$ ,

$1-4=a(3)^2$ ,

$-3=9a$ ,

$a=-\frac{1}{3}$

The required equation is

$f(x)=-\frac{1}{3}(x-2)^2+4$ ,

5 0

3 years ago

How do i do these two while using a proportion?

AnnZ [28]

For #2, the proportion would be .40/.25 and x/15, then you would cross multiply to find x. and for #3 the proportion would be 15/6 and 75/x and again you would cross multiply to find x. (:

7 0

3 years ago

jessicas shoebox is 20 centimeters long and 10 centimeters wide. how many more millimeters is the length of the shoebox than the

likoan [24]

1 millimeter is 1 tenth of a centimeter so do 10 centimeters X 10 millimeters (the ten centimeters is how many more centimeters in length than width) in which you get 100, thus 100 is your awnser

7 0

3 years ago

A typical adult has an average IQ score of 105 with a standard deviation of 20. If 20 randomly selected adults are given an IQ t

Fiesta28 [93]

Answer:

100% probability that the sample mean scores will be between 87 and 124 points

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean \mu and standard deviation, which is also called standard error $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 105, \sigma = 20, n = 20, s = \frac{20}{\sqrt{20}} = 4.47$

What is the probability that the sample mean scores will be between 87 and 124 points

This is the pvalue of Z when X = 124 subtracted by the pvalue of Z when X = 87. So

X = 124

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{124 - 105}{4.47}$

$Z = 4.25$

$Z = 4.25$ has a pvalue of 1

X = 87

$Z = \frac{X - \mu}{s}$

$Z = \frac{87 - 105}{4.47}$

$Z = -4.25$

$Z = -4.25$ has a pvalue of 0

1 - 0 = 1

100% probability that the sample mean scores will be between 87 and 124 points

3 0

4 years ago

Please look for the question in the picture.

stellarik [79]

Answer:

-14.4 -14(1/5) -14.04

Step-by-step explanation:

Since all the numbers are negative the "bigger" the number is the less value it has. -14.4 is farthest away from zero. -14(1/5) = -14.2 which is in the middle. and -14.04 is the closest to zero.

6 0

3 years ago