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2 years ago

ADC is drawn by reflecting ABC across . If AC = 4 units, what is the area of ADC?

Mathematics

2 answers:

Elina [12.6K]2 years ago

7 0

<span>E is the correct answer. The area of a triangle is equal to half the base multiplied by the perpendicular height. If BE = 3, then DE = 3. If AC is the base, DE is the perpendicular height. This gives (4 x 3)/2. This is equal to 6 square units.</span>

Afina-wow [57]2 years ago

5 0

Answer:

6 square units

Step-by-step explanation:

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Harris Interactive® conducted a poll of American adults in August of 2011 to study the use of online medical information. Of the

kirill115 [55]

Answer:

$0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570$

$0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630$

The 95% confidence interval for the true proportion would be given by (0.570;0.630) .

And if we convert this into % we got (57.0%, 63.0%)

Step-by-step explanation:

The information given we have the following info given:

$n = 1019$ represent the sampel size

$\hat p=0.6$ represent the sample proportion of interest

The confidence level is 95%, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

Replacing the info given we got:

$0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570$

$0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630$

The 95% confidence interval for the true proportion would be given by (0.570;0.630) .

And if we convert this into % we got (57.0%, 63.0%)

7 0

2 years ago

Find a number x such that g(x) = -4

mel-nik [20]

Answer:

C: x = 7

Step-by-step explanation:

The easiest way to do this is to simply try all of the x-vales given as options.

Option 1: x = -1

Since $-1 \leq 0$ , we'll use the first equation.

$g(x)=\mid x \mid - 2\\g(-1)=\mid -1 \mid - 2 = 1 - 2 = -1$

As we can see, g(-1) is not -4.

Option 2: x = 3

Since $0 < 3 < 4$ , we'll use the 2nd equation.

$g(x) = x-3\\g(3) = 3-3 = 0$

Not -4.

Option 3: x = 7

Since $4 \leq 7$ , we'll use the 3rd equation.

$g(x) = 3-x\\g(7) = 3-7 = -4$

Tada! We have found a number such that g(x) = -4, it is 7. Since we only need to find a number, not all numbers, we don't have to check the last option. However, if you're curious:

Option 4: x = 4

Since $4 \leq 4$ (less than <em>or equal to</em>), we'll use the 3rd equation.