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3 years ago

What is the value of the expression? Drag and drop the answer into the box to match the expression. 0.9(1/2−2)+0.6

2 answers:

8 0

Just use pemdas....
-0.75 is the solution.

distributed the 0.9 to the .5 converted fraction to decimal and the 2, keep the parenthesis and subtract the 0.45 with the positive 1.8 which equals -1.35. Then add-1.35 to 0.6 and then you get -0.75 is the solution.

mrs_skeptik [129]3 years ago

6 0

Should be, -0.7, if you follow PEMDAS

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A random sample of 864 births in a state included 426 boys. Construct a 95% confidence interval estimate of the proportion of bo

oksian1 [2.3K]

Using the z-distribution, it is found that the 95% confidence interval is (0.46, 0.526), and it does not provide strong evidence against that belief.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

We have that a random sample of 864 births in a state included 426 boys, hence the parameters are given by:

$n = 864, \pi = \frac{426}{864} = 0.493$

Then, the bounds of the interval are given by:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 - 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.46$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.493 + 1.96\sqrt{\frac{0.493(0.507)}{864}} = 0.526$

The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.

More can be learned about the z-distribution at brainly.com/question/25890103

4 0

2 years ago

X/3 + 4<6 pls help will mark branliest

Agata [3.3K]

Answer:

x < 6

Step-by-step explanation:

$\frac{x}{3}+4 < 6$

Subtract 4 form both sides

$\frac{x}{3}$

Multiply both sides by 3

$x < 2*3\\\\x < 6$

3 0

3 years ago

Read 2 more answers

Pls help me! 19 and 20.

Murljashka [212]

Answer:

See below ↓

Step-by-step explanation:

19.

$\frac{x-1}{2} - \frac{x-3}{5} - \frac{x-7}{10} + \frac{x-2}{5}$
$\frac{5(x-1)-2(x-3)-(x-7)+2(x-2)}{10}$
$\frac{5x-5-2x+6-x+7+2x-4}{10}$
$\frac{4x+4}{10}$
$\frac{2x+2}{5}$

20.

$\frac{2x+3}{2x} + \frac{x+3}{4x} - \frac{18x+6}{8x^{2} }$
$\frac{4x(2x+3)+2x(x+3)-(18x+6)}{8x^{2} }$
$\frac{8x^{2} +12x+2x^{2} +6x-18x-6}{8x^{2} }$
$\frac{10x^{2}-6}{8x^{2} }$
$\frac{5x^{2}-3}{4x^{2} }$

4 0

2 years ago

Emily thinks the perfect tomato sauce has 8 cloves of garlic in every 500 mL of sauce. Raphael's tomato sauce has 12 cloves of g

ivolga24 [154]

Answer:

Emiy would think that it is not the perfect tomato sauce because it has 12 cloves of garlic in every 900 mL of sauce and it should have 14.4 cloves of garlic in every 900 mL of sauce to be perfect.

Step-by-step explanation:

The statement indicates that for Emily the perfect tomato sauce have 8 cloves of garlic in every 500 mL. With that we can calculate the amount of cloves of garlic that a tomato sauce should have for Emily to consider it to be perfect using the rule of three:

8 cloves of garlic → 500 mL

x ← 900 mL

x= (8*500)/900= 14.4

According to this, the perfect tomato sauce would need to have 14.4 cloves of garlic in every 900 mL. As Raphael's tomato sauce only has 12, it means that Emily would think that it is not the perfect tomato sauce.

7 0

3 years ago

Solve the system of equations by the addition method.<br> 1 - 3x = -5y - 8<br> 6x<br> 3y = -5

Advocard [28]

$-3x = -5y -8~~~....(i) \\\\6x -3y = -5 ~~......(ii)\\\\\text{Multiply equation (i) by 2 and do (i) + (ii):}\\\\2 \cdot (-3x) + 6x -3y = 2(-5y-8) + (-5)\\\\\implies -6x +6x -3y = -10y -16 -5 \\\\\implies -3y = -10y -21\\\\\implies -3y +10y =-21\\\\\implies 7y = -21 \\\\\implies y = -\dfrac{21} 7 = -3\\\\\text{Substitute}~y =-3~ \text{in equation (ii):} \\\\6x - 3(-3) = -5\\\\\implies 6x +9 = -5\\\\\implies 6x = -5 -9 = -14\\\\\implies x = -\dfrac{14}6 = - \dfrac{7}3\\$

$\text{Hence}~ (x,y) = \left(-\dfrac 73, -3 \right)$

3 0

2 years ago