A rectangle is divided into 12 squares. how many squares make up 1/3 of the rectangle?

2. Write five different numbers for which 328,800 is the nearest hundred.3.Write five different numbers for which 659,000 is the

stira [4]

2. The numbers at which represent 328000 to the nearest hundred are

a. 327, 969

b. 327, 958

c. 327,999

d. 328, 040

e. 328, 030

3. The numbers that can represent 659,000 as the nearest hundred are

a. 658, 952

b. 658, 966

c. 658, 974

d. 659, 049

e. 659, 030

The nearest hundred, we consider the last two digits if they are below 50 or above 50. Then we round the number to the nearest hundreds . example 240 to the nearest hundred is 200. since 40 makes the number 240 more closer to 200 we round it to 200. if it is 260, the number 60 will be more closer to 300 than 200. so the nearest hundred in this case will be 300.

7 0

1 year ago

A rock outcrop was found to have 95.82% of its parent U- 238 isotope remaining. Approximate the age of the outcrop. The half-lif

mixer [17]

Answer:

A) 277 million years

Step-by-step explanation:

Here, decay of U-238 is first order reaction. (since most of the nuclear decays are first order).

so, the equation t = $\frac{1}{k}$ × ln( $\frac{A(0)}{A}$ )

where, t = time from start of reaction

k = reaction constant

A(0) = initial concentration; A = present concentration.

⇒ 4.5 billion = 4500 million years = $\frac{1}{k}$ × ln2.

Now, given 95.82% of parent U-238 isotope is left.

⇒ t = $\frac{1}{k}$ × ln( $\frac{A(0)}{A}$ )

t = $\frac{4500}{ln2}$ × ln( $\frac{100}{95.82}$ )

⇒ t ≅ 277 million years.

5 0

2 years ago

Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i

Nina [5.8K]

Answer:

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.

Step-by-step explanation:

Data given and notation

$X_{1}=253$ represent the number with no defects in sample 1

$X_{2}=196$ represent the number with no defects in sample 1

$n_{1}=300$ sample 1

$n_{2}=300$ sample 2

$p_{1}=\frac{253}{300}=0.843$ represent the proportion of number with no defects in sample 1

$p_{2}=\frac{196}{300}=0.653$ represent the proportion of number with no defects in sample 2

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

$\alpha=0.05$ significance level given

Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference in the the two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} - p_2}=0$

Alternative hypothesis: $p_{1} - p_{2} \neq 0$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{253+196}{300+300}=0.748$

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

Statistical decision

Since is a two sided test the p value would be:

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.

5 0

3 years ago

Simplify this equation, 12x+7x+8y+12^2+y+12=

soldi70 [24.7K]

12x+7x+8y+12^2+y+12=19x+9y+24^2

5 0

3 years ago

Read 2 more answers

What do u notice to this picture?

trasher [3.6K]

Answer:

The picture has a pattern. The pattern in this picture is that each time 4 corners are added. You can also look at this as it adds 4 each time or as the equation. Y=5+4x. Y being The amount of cubes in the equation

3 0

2 years ago