MATHEMATICS COLLEGE

Find the area of the figure.
The area is
square units.
Find the area of the figure. The area is square - 1

Answers

Answer 1
Answer:

Answer:

36 square units

Step-by-step explanation:

split the figure so that it's a triangle and a rectangle. Find the area of the rectangle (base x height or 6 x 4), which is 24 square units. Then, find the area of the triangle ((base x height)/2 or (6 x 4)/2), which would be 12 units. Then add those units up (24 + 12) and you get 36.

Related Questions

I keep getting the same answer and I know I am using the right formula. don't know where I am going wrong.
Hurry Up! I will give brianliest. PLEASE GIVE EXPLANATION or i wont give brainliest
What is the sum of 87 and 234252464375675647
If 150 mg of a drug is ordered IVP stat over 2 minutes, and the concentration of the drug is 75 mg/mL, find the total number of milliliters, and indicate how many milliliters you will administer per minute.A.1 mL total, 1 mL/min. B.2mL total, 1 mL/min.C.4 mL total, 2 mL/min.D.10 mL total, 5 mL/minute
7. Write the slope-intercept form of the equation of the line.slope = -5 , y - int = -1

Simplify 0.05 +1.02x

Answers

0.005x + 1.02x

= ( 0.05 + 1.02 )x

= 1.07x

Hope this helps!

~LENA~

I'm assuming the 0.05 is supposed to have an x after it but you can combine like terms.

0.05x + 1.02x =x(0.05+1.02)=1.07x

The United Van Lines moving company has a truck filled for deliveries to five different sites. If the order of the deliveries is randomly selected, what is the probability that it is the shortest route?

Answers

Answer:

0.8333%

Step-by-step explanation:

Assuming that there is only one possible shortest route, the probability that a randomly selected route is given by one divided by the permutation of the order of five different sites:

P=(1)/((5!)/((5-5)!))=(1)/(5*4*3*2*1)\n P=0.008333=0.8333\%

There is a 1 in 120 chance, or 0.8333% chance that a randomly selected route is the shortest possible route.

A survey of 100 similar-sized hospitals revealed a mean daily census in the pediatrics service of 27 with a standard deviation of 6.5. Researchers test whether these data provide sufficient evidence to indicate the mean is greater than 25. Use α=.05. Give 1. the hypotheses, 2. appropriate test, 3. decision rule, 4. calculated test statistic, and 5. conclusion with a comparison to the critical value or alpha.

Answers

Answer:

We conclude that the mean is greater than 25.  

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 25

Sample mean, \bar{x} = 27

Sample size, n = 100

Alpha, α = 0.05

Sample standard deviation, s = 6.5

First, we design the null and the alternate hypothesis

H_(0): \mu = 25\nH_A: \mu> 25

We use One-tailed(right) z test to perform this hypothesis.

Formula:

z_(stat) = \displaystyle\frac{\bar{x} - \mu}{(s)/(√(n)) }

Putting all the values, we have

z_(stat) = \displaystyle(27 - 25)/((6.5)/(√(100)) ) = 3.07

Now, z_(critical) \text{ at 0.05 level of significance } = 1.645

Since,  

z_(stat) > z_(critical)

We reject the null hypothesis and accept the alternate hypothesis.

Thus,  the mean is greater than 25.

Final answer:

The null hypothesis is the mean is equal to 25 and the alternative is that the mean is greater than 25. Using a one-sample t-test and 0.05 significance level, the calculated statistic results in rejection of the null hypothesis. Thus, there is sufficient evidence to suggest that the mean daily census in pediatrics is greater than 25.

Explanation:

1. The hypotheses for this scenario are that the null hypothesis (H0): the mean daily census in the pediatrics service is equal to 25, and the alternative hypothesis (H1): the mean daily census in the pediatrics service is greater than 25.

2. The appropriate test for this scenario would be a one-sample t-test, given that we have a sample mean, a population mean, a standard deviation, and we're examining a single group of hospitals.

3. The decision rule would be: if the p-value of our t-test is less than the significance level (α=.05), we reject H0 and accept H1.

4. The test statistic is calculated as follows: t = (Sample Mean-Population Mean)/(Sample Standard Deviation/ √number of observations), this would give us (27-25)/(6.5/√100) = 3.08.

5. Since 3.08 is greater than the critical value for a 0.05 significance level, we reject the null hypothesis. Therefore, there is sufficient evidence to conclude that the mean daily census in the pediatrics service is greater than 25.

Learn more about One-sample t-test here:

brainly.com/question/32606144

#SPJ12

Consider the polygon shown. Determine the value of y. PLEASE HELP​

Answers

Answer:

y = 64°

Step-by-step explanation:

From the picture attached,

m(∠E) = 90°

m(∠E) = m(∠D)

m(∠B) + 67° = 180° [pair of linear angles]

m(∠B) = 113°

m(∠C) + 75° = 180°

m(∠C) = 180° - 75°

           = 105°

Since, sum of interior angles of a polygon = (n - 2) × 180°

Here, n = number of sides

For n = 5,

Sum of interior angles = (5 - 2) × 180°

                                     = 540°

m(∠A) + m(∠B) + m(∠C) + m(∠D) + m(∠E) = 540°

m(∠A) + 113° + 105° + m(∠D) + 90° = 540°

(m∠D) + m(∠D) = 540 - 308 [Since, m(∠A) = m(∠D)]

2(m∠D) = 232

m(∠D) = 116°

m(∠D) + y° = 180° [Linear pair of angles]

116 + y = 180

y = 64°

What is the equation of the line that passes through the point (-8,5) and has a slope
of o?

Answers

Answer:  y = 5

Step-by-step explanation:

If the slope is 0, the graph of the line is a horizontal line (parallel to the x-axis).   0 slope means it is flat.

Here it passes through the y-axis  at +5 and passes through every value of x.

Final answer:

The equation of a line with slope 0 that passes through the point (-8,5) is y = 5.

Explanation:

The equation of a line can be found using the slope-intercept form y = mx + b, where 'm' represents the slope and 'b' is the y-intercept. The given slope of the line is 0, which means the line is horizontal with equation y = b. However, our line needs to pass through the point (-8,5), and at this point, the y coordinate is 5. Hence, for this line, b equals 5. So, the equation of the line is y = 5.

Learn more about Equation of a Line here:

brainly.com/question/33578579

#SPJ3

WILL MARK BRAINLIEST PLEASE HELP!!!A right circular cone is intersected by a plane that passes through the cone's vertex and is parallel to its base, as in the picture below. What is produced from this intersection?

A. A Pair of intersecting lines
B. A Parabola
C. A Point
D. A Pair of parallel lines

Answers

Answer:its D. A pair of parallel lines

Step-by-step explanation:

Answer: parallel lines

Step-by-step explanation:
Other Questions
For many years, businesses have struggled with the rising cost of health care. But recently, the increases have slowed due to less inflation in health care prices and employees paying for a larger portion of health care benefits. A recent survey showed that 62% of employers are likely to require higher employee contributions for health care coverage this year relative to last year. Suppose the survey was based on a sample of 800 companies likely to require higher employee contributions for health care coverage this year relative to last year. At 95% confidence, compute the margin of error for the proportion of companies likely to require higher employee contributions for health care coverage. (Round your answer to four decimal places.) Compute a 95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage. (Round your answers to four decimal places.)
Susan reads a book at a rate of 1 page every 3 minutes. If her reading rate remains the same, which method could be used to determine the number of minutes for her to read 18 page? *
What is The greatest common factor of 42 and 96 I’ll give you brainliest
I'm having trouble answer this question