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2 years ago

Please answer this correctly without making mistakes

Mathematics

1 answer:

skad [1K]2 years ago

5 0

Answer:

2 pt + 1c

Step-by-step explanation:

There are 2 cups in a pint. So, 2c = p, dividing 2 from both sides, we get

c = (1/2)p

Replace c with 1/2 p in the equation

5 pt - (2pt + (1/2)p)

= 5pt - 2pi - (1/2)p

= 3pt - (1/2)p

= 2pt + (1/2)p

Replace back (1/2)p for c

2pt + (1/2)p =

2 pt + 1c

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The accompanying summary data on total cholesterol level (mmol/l) was obtained from a sample of Asian postmenopausal women who w

dimulka [17.4K]

Answer:

99% CI:

$-4.637\leq\mu_v-\mu_o\leq 3.737$

Step-by-step explanation:

We have to calculate a 99%CI for the difference of means for the vegan and the omnivore.

First, we have to estimate the standard deviation

$s_{Md}=\sqrt{\frac{2MSE}{n_h}}$

The MSE can be calculated as

$MSE=\frac{(SSE_1+SSE_2)}{df} =\frac{(n_1s_1)^2+(n_2*s_2)^2}{n_1+n_2-2}\\\\MSE=\frac{(85*1.05)^2+(96*1.20)^2}{85+96-2}=\frac{7965.56+13272.04}{179} =118.65$

The weighted sample size nh can be calculated as

$n_h=\frac{2}{1/n_1+1/n_2}=\frac{2}{1/85+1/96}=\frac{2}{0.0222} =90.16$

The standard deviation then becomes

$s_{Md}=\sqrt{\frac{2MSE}{n_h}}=\sqrt{\frac{2*118.65}{90.16}}=\sqrt{2.632} =1.623$

The z-value for a 99% confidence interval is z=2.58.

The difference between means is

$\Delta M=M_v-M_o=5.10-5.55=-0.45$

Then the confidence interval can be constructed as

$\Delta M-z*s_{Md}\leq\mu_v-\mu_o\leq \Delta M+z*s_{Md}\\\\ -0.45-2.58*1.623\leq\mu_v-\mu_o\leq -0.450+2.58*1.623\\\\-0.450-4.187\leq\mu_v-\mu_o\leq-0.450+4.187\\\\-4.637\leq\mu_v-\mu_o\leq 3.737$

8 0

2 years ago

The data shown has a least-squares regression line of y=3.2x−6.4.

Damm [24]

Answer:

1) B. on, 2) D. 19.2, 3) C. 0

Step-by-step explanation:

1) The value of y according to the regression line is:

$y = 3.2\cdot (8) - 6.4$

$y = 19.2$

Hence, the point (8,19.2) is <em>on </em>the least-squares regression line.

2) The value of y according to the regression line is 19.2.

3) The residual is the difference between the value from the regression line and the real value. In this case, the residual value is 0.

5 0

2 years ago

Tomas makes balloon sculpture at a circus. In 180 minutes he uses 252 balloons to make balloon sculptures. How many minutes does

Mademuasel [1]

Answer:

0.714 mins

Step-by-step explanation:

by using the rule of three:

180 mins----->252 ballons

x----------------1 ballon=0.714 mins

4 0

2 years ago

Write the quadratic equation in standard form:<br> 3x2 – X – 4= -30<br> x

zhuklara [117]

Answer:

3x²-29x+4

Step-by-step explanation:

3x²-x-4=-30x

0=-30x-3x²+x+4

0=-3x²-29x+4

4 0

2 years ago

The digit in the tens place of a two digit number is three times that in the units place. If the digits are reversed the new num

S_A_V [24]

We could do it with algebra. But we can also do it the long way, which is
shorter than the algebraic way.

The digit in the tens place is 3 times the digit in the units place.
So the number MUST be
31, or
62, or
93 .
It can't be anything else.

Now here they are again, with the reverse of each one:

31 . . . 13 The new number is 18 less.
62 . . . 26 The new number is 36 less.
93 . . . 39 The new number is 54 less.

Obviously, the original number is 62.

4 0

3 years ago