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3 years ago

Order the values from least to greatest

Mathematics

1 answer:

Irina-Kira [14]3 years ago

8 0

Step-by-step explanation:

64 2/3 = 16

4 square root 256 = 64

16 3/2 =64

3 square root - 64 = - 24

16 - 24 64 64

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If log^2(x)=log^2(a)+log^2(b)-log^2(c) then x is

FinnZ [79.3K]

Using this properties of logarithms log a -log b =log a/b and
log a +log b = log a*b

log^2 (x) = log^2 (a*b) -log^2 (c) = log^2 (a*b/c)

x = a*b/c

hope helped

6 0

4 years ago

How much percent of the number 92% of 85

nevsk [136]

Answer:

78.2

Step-by-step explanation:

Hope this helps

5 0

3 years ago

Read 2 more answers

Find the mean, median mode and range of: 75, 80, 60, 90, 85, 80, -7, 90, 70, 65

yaroslaw [1]

Answer:

Mean: 68.8.

Median: 77.5

Mode: 80, 90

Step-by-step explanation:

-7 + 60 + 65 + 70 + 75 + 80 + 80 + 85 + 90 + 90 = 688. Then divide by 10 because there are 10 numbers.

-7 + 60 + 65 + 70 + 75 + 80 + 80 + 85 + 90 + 90

(75, 80) are the middle numbers, so add them both, then divide by 2.

80, 90 appear more than the other numbers.

Range is highest - lowest. 90 - (-7) = 97, or it could be 83. I don't know.

4 0

3 years ago

Read 2 more answers

Can anyone answer these questions

SOVA2 [1]

Answer:

see explanation

see explanationStep-by-step explanation:

Note that

(a - $\frac{1}{a}$ )²

= a² - 2 + $\frac{1}{a^2}$

= a² + $\frac{1}{a^2}$ - 2

= 11 - 2

= 9

Thus

(a - $\frac{1}{a}$ )² = 9 ( take the square root of both sides )

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

Since the expression is a perfect square, then

(4x + 5y)²

= 16x² + 40xy + 25y²

Comparing coefficients, then

a - 1 = 40 ( add 1 to both sides )

a = 41

99² - 87² ← is a difference of squares and factors as

= (99 - 87)(99 + 87)

= 12 × 186 = 1152, thus

24a = 1152 ( divide both sides by 24 )

a = 48

3 0

4 years ago

Iron deficiency anemia is an important nutritional health problem in the U.S. A dietary assessment was performed on 51 boys 9-11

Bond [772]

Answer:

a) Null hypothesis: $\mu = 14.44$

Alternative hypothesis: $\mu \neq 14.44$

b) $t=\frac{12.50-14.44}{\frac{4.75}{\sqrt{51}}}=-2.917$

The degrees of freedom are given by:

$df =n-1= 51-1=50$

Now we can calculate the p value taking in count the alternative hypothesis

$p_v =2*P(t_{50}$

Since the p value is lower than the significance $\alpha=0.05$ we have enough evidence to reject the null hypothesis and the true mean is significantly different from 14.44

c) $12.50 -2.01 \frac{4.75}{\sqrt{51}}= 11.163$

$12.50 +2.01 \frac{4.75}{\sqrt{51}}= 13.837$

Step-by-step explanation:

Information given

$\bar X=12.50$ represent the mean for the daily iron intake

$s=4.75$ represent the sample deviation

$n=51$ sample size

$\mu_o =14.44$ represent the reference value

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic

$p_v$ represent the p value for the test

Part a

We want to test if the mean iron intake among the low-income group is different from that of the general population, the system of hypothesis would be:

Null hypothesis: $\mu = 14.44$

Alternative hypothesis: $\mu \neq 14.44$

Part b

Since we don't know the population deviation the statistic would be given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info we got

$t=\frac{12.50-14.44}{\frac{4.75}{\sqrt{51}}}=-2.917$

The degrees of freedom are given by:

$df =n-1= 51-1=50$

Now we can calculate the p value taking in count the alternative hypothesis

$p_v =2*P(t_{50}$

Since the p value is lower than the significance $\alpha=0.05$ we have enough evidence to reject the null hypothesis and the true mean is significantly different from 14.44

Part c

The confidence interval would be given by:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$

For the 95% confidence interval we can find the critical value in a t distribution with 50 degrees of freedom and we got:

$t_{\alpha/2}= 2.01$

And replacing we got:

$12.50 -2.01 \frac{4.75}{\sqrt{51}}= 11.163$

$12.50 +2.01 \frac{4.75}{\sqrt{51}}= 13.837$

7 0

4 years ago