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kondor19780726 [428]
3 years ago
8

Round 729 to the nearest 100

Mathematics
2 answers:
Morgarella [4.7K]3 years ago
7 0
Answer: 700!

Explanation:
miskamm [114]3 years ago
6 0

Answer:

700

Step-by-step explanation:

700

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Turn 1/4 into 3/12. Circle 5 of them, and put an x on 3 of them
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Caroline starts with $20 in her piggy bank. Each week she adds $4 to the piggy bank. After how many weeks will Caroline have mor
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First I calculate in how many weeks Caroline will get 80$
4$*20 weeks =80$
but Caroline had 20$ at the beginning which means in 20 weeks she will have collected 80$+ 20$= 100$
the answer is after 20 weeks Caroline will have more than 100$in her bank .
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It takes four steps to factor 48 – 3y 4 completely. Using complete sentences and the appropriate vocabulary, explain each of the
Nezavi [6.7K]

Answer:

3(2 - y)(2 + y)(4 + y²)

Step-by-step explanation:

48 - 3y⁴

Take 3 common:

3(16 - y⁴)

16 is 4² and y⁴ is (y²)²

3(4² - (y²)²)

Using a² - b² = (a - b)(a + b)

3(4 - y²)(4 + y²)

Again, 4 = 2²

3(2² - y²)(4 + y²)

3(2 - y)(2 + y)(4 + y²)

8 0
3 years ago
4 pieces of wood each 11 and a half inches long are required to build a cabinet. If all four pieces are cut from one board and 1
mariarad [96]
Ok first we calculate the length of board without losses:
4 * 11.5 = 46 inches
then, we have 1 inch of waste allowed fir each piece, so the total waste is 4*1 = 4 inches

finally, we will add the length of the waste to the desired length to get the total length of the board as follows:
total length of board = 46+4 = 50 inches
3 0
3 years ago
You are testing the claim that the mean GPA of night students is different from the mean GPA of day students. You sample 30 nigh
kirill [66]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean GPA of night students and μ2 be the mean GPA of day students.

The random variable is μ1 - μ2 = difference in the mean GPA of night students and the mean GPA of day students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 ≠ μ2 H1 : μ1 - μ2 ≠ 0

This is a two tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 2.35

μ2 = 2.58

s1 = 0.46

s2 = 0.47

n1 = 30

n2 = 25

t = (2.35 - 2.58)/√(0.46²/30 + 0.47²/25)

t = - 1.8246

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.46²/30 + 0.47²/25]²/[(1/30 - 1)(0.46²/30)² + (1/25 - 1)(0.47²/25)²] = 0.00025247091/0.00000496862

df = 51

We would determine the probability value from the t test calculator. It becomes

p value = 0.0746

Since alpha, 0.05 < than the p value, 0.0746, then we would fail to reject the null hypothesis.

3 0
3 years ago
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