The area of the triangle shown is 9 cm2.

When you need to convert from one system of measurement to another, you should convert to the

kaheart [24]

Answer: A

To convert from one unit to another within the metric system usually means moving a decimal point. If you can remember what the prefixes mean, you can convert within the metric system relatively easily by simply multiplying or dividing the number by the value of the prefix.

3 0

3 years ago

I need help and thanks

EleoNora [17]

S+c=1.59 You need to add the savings and the sale price together.

8 0

3 years ago

It has been found that 26% of men 20 years and older suffer from hypertension (high blood pressure) and 31.5% of women are hyper

vfiekz [6]

Complete Question

It has been found that 26% of men 20 years and older suffer from hypertension (high blood pressure) and 31.5% of women are hypertensive. A random sample 150 of each gender was selected from recent hospital records, and the following results were obtained.

Men. 43 patients had high blood pressure

Woman. 52 patients had high blood pressure.

Answer:

The 95% confidence interval is

$- 0.1651 < p_m - p_f$

This mean that there is a 95 % confidence that the difference between the true proportions of male and female that are hypertensive is within this interval and given that the interval contains zero then there is no statistically significant difference between the genders that are hypertensive

Step-by-step explanation:

From the question we are told that

The sample size for male is $n_1 = 150$

The number of male that are hypertensive is $m = 42$

The sample size of female is $n_2 = 150$

The number of female that are hypertensive is $q = 52$

The proportion of male that are hypertensive is mathematically represented as

$\r p_m = \frac{43}{150}$

$\r p_m = 0.287$

The proportion of female that are hypertensive is mathematically represented as

$p_f = \frac{52}{150}$

$p_f = 0.347$

From the question we are told that confidence level is 95%, hence the level of significance is mathematically represented as

$\alpha = 100 -95$

$\alpha =5\%$

$\alpha =0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{ \alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{ \r p_m (1- \r p_m )}{n_1} + \frac{ \r p_f (1- \r p_f )}{n_2} }$

substituting value

$E = 1.96 * \sqrt{\frac{ 0.287 (1- 0.287 )}{150} + \frac{ 0.347 (1- 0.347 )}{150} }$

$E = 0.1051$

The 95% confidence interval is mathematically represented as

$(\r p_m - \r p_f ) - E < p_m - p_f < (\r p_m - \r p_f ) + E$

substituting values

$( 0.287 - 0.347 ) - 0.1051 < p_m - p_f$

$- 0.1651 < p_m - p_f$

This mean that there is a 95 % confidence that the difference between the true proportion is within this interval and given that the interval contains zero then there is no statistically significant difference between the genders that are hypertensive.

4 0

3 years ago

Use the following ordered pairs

Lynna [10]

The ordered pair for Y is (-4,-2)

Step-by-step explanation:

Given

X(-2,3)

Z(-6,-7)

As Y is the mid-point of XZ, it will divide Xz in two equal segments. Y is the mid-point of the segment.

Let (x_Y, y_Y) be the coordinates of the mid-point

Then

$(x_Y, y_Y) = (\frac{x_1+_2}{2} , \frac{y_1+y_2}{2})$

Putting the values

$=(frac{-2-6}{2} , \frac{3-7}{2})\\=(\frac{-8}{2} , \frac{-4}{2})\\=(-4, -2)$

Hence,

The ordered pair for Y is (-4,-2)

Keywords: Coordinate geometry, Mid-point

Learn more about coordinate geometry at:

#LearnwithBrainly

3 0

4 years ago

95°

Tresset [83]

Answer:

Step-by-step explanation:

5 0

3 years ago