Acellus
First, find the surface area of the yellow prism.
3 cm 3 cm
: ?
4 cm
3 cm
front: [?]
back: [ ]
right: [ ]
left: [ ]
3cm
3cm
4cm
top:[]
5 cm
TOTAL: [ ]
Note: The bottom will not be
included because this is whern
5 cm

Answer:

??????

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

Let the four consecutive integers be x, (x + 1), (x + 2) & (x + 3)

Smallest integer = x

According to the given condition:

[tex]x + (x + 1) + (x + 2) + (x + 3) = 3x \\ \\ 4x + 6 = 3x \\ \\ 4x - 3x = - 6 \\ \\ x = - 6 \\ \\ Sum\: of\: the\:integers \\=4x + 6 = 4( - 6) + 6 \\ \\ = - 24 + 6 \\ \\ = - 18[/tex]

Answer:

1. 3

2. D

3. KE

4. B

5. A

Step-by-step explanation:

those should be your answers

Answer:

1. 3

2. D

3. E and K

4. B

5. A

negative integers lie on the negative side of the number line(usually having a minus sign in front of them)

positive ones lie on the positive side( usually have no signs in front of them)

Answer:

1. <1 and <2 are congruent

Step-by-step explanation:

✔️Statement 1 is NOT TRUE:

Rationale: with the information given, we cannot determine the measure of each of the angles.

✔️Statement 2 is TRUE:

Rationale: complementary angles add up to 90°. The sum of both angles equals 90°

✔️Statement 3 is TRUE:

Rationale: the red little box indicates a right angle

✔️Statement 4 is TRUE:

Rationale: adjacent angles share a common side. Both angles share a common side, so they are adjacent to each other.

Answer:

0.0735 = 7.35% probability that the proportion of rooms booked in a sample of 556 rooms would be less than 10%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

A hotel manager calculates that 12% of the hotel rooms are booked.

This means that [tex]p = 0.12[/tex]

Sample of 556 rooms

This means that [tex]n = 556[/tex]

Mean and standard deviation:

[tex]\mu = p = 0.12[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.12*0.88}{556}} = 0.0138[/tex]

What is the probability that the proportion of rooms booked in a sample of 556 rooms would be less than 10%?

This is the p-value of Z when X = 0.1. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.1 - 0.12}{0.0138}[/tex]

[tex]Z = -1.45[/tex]

[tex]Z = -1.45[/tex] has a p-value of 0.0735

0.0735 = 7.35% probability that the proportion of rooms booked in a sample of 556 rooms would be less than 10%.

Answer:

24

Step-by-step explanation:

divide the area in 2 regions

4 x 2 = 8 (area of one region)

4 x 4 = 16 (area of second region)

8 + 16 = 24 (sum of areas of the two regions)

Answer:

[tex]{ \tt{f(x) = 2 {x}^{2} + 3x - 3 }} \\ { \tt{g(x) = - {x}^{2} }} \\ f(x) + 2 \times g(x) : \\ 0 {x}^{2} + 3x - 3 = 0 \\ x = 1 [/tex]

point's (1, 0)

Answer:

a) 11670-0.09%

b)11670-1.8%=11459

Step-by-step explanation:

Angle QNM is =x by alternate angle reason (QU is parallel to MP)

X = 69

Answer:

Andres

why?

Because he is median salary for cpa

Answer:

39.79 cm

Step-by-step explanation:

a few things to make sure :

1 liter = 1 dm³ (a cube of 10cm length of edges) =

= 10×10×10 = 1000 cm³

the volume of a cylinder is

base area × height (or length, as it is called in this question).

and the base area is a circle

area = pi×r²

and r (radius) is half of the diameter.

so, we know r = diameter/2 = 4cm

and the volume is 2 liter = 2 dm³ = 2000 cm³

so, we have

2000 = pi×r² × length = pi×4² × length = pi×16 × length

length = 2000 / (pi × 16) cm = 125 / pi cm =

= 39.79 cm

Answer:

the number of diagonals can be found by n *n minus 3 by 2

a) the number of all possible diagonals drawn for having 7 side = 14 diagonals

b) the number of all possible diagonals drawn for having 10 side=35 diagonals

Answer:

Answer:

15x(-9)-7

Step-by-step explanation:

it has been translated

Answer:

Step-by-step explanation:

Answer:

the domain of given f is (-2,4)

Answer:

The speed in terms of kilometers per hour is 0.666 km / h.

Step-by-step explanation:

Given that the good construction slithers 3/9 kilometers in 3/6 hours, to determine what is it's speed in terms of kilometers per hour, the following calculation must be performed:

3/9 = 0.333 km

3/6 = 0.5 hours

0.666 km / h

Therefore, the speed in terms of kilometers per hour is 0.666 km / h.

Answer:

D. No angle opposite the sides is given

Step-by-step explanation:

Given

See attachment for triangle

Required

Why the law of sines cannot be used

From the attached image of a triangle, we can see that all sides are given while none of the angles are given.

Since none of the angles are given, then law of sines doesn't apply

Answer: Get at least 150 minutes of moderate aerobic activity or 75 minutes of vigorous aerobic activity a week, or a combination of moderate and vigorous activity. The guidelines suggest that you spread out this exercise during the course of a week. Greater amounts of exercise will provide even greater health benefit.

Step-by-step explanation:

If Sam reached 128% of his goal to exercise each week, he would have exercised for 512 minutes.

Given the parameters:

Sam's goal is to exercise for 400 minutes each week.

This week, he reached 128% of his goal.

The number of minutes =?

To determine how many minutes Sam exercised this week, we simply calculate 128% of his goal.

Number of minutes = 128% × Sam's goal of exercise

Number of minutes = 128% × 400 minutes

Note that: 128% = 128/100

Number of minutes = 128/100 × 400 minutes

Number of minutes = 128 × 4 minutes

Number of minutes = 512 minutes

Therefore, Sam exercised for 512 minutes this week.

Learn more about Percentages here: https://brainly.com/question/14103344

#SPJ3

Answer: hello there here is your answer:

Still air speed:450 mph.

Step-by-step explanation:

500-450=450-400=50 mph

Still air speed:450 mph. Wind speed:50 mph..

hope this help have a good day

Answer:

Kevin is correct.

Step-by-step explanation:

3 girls + 5 boys = 8 students.

Answer:

he is incorrect since in a ratio you don't add them together instead what this ratio means is for every 3 girls there is 5 boys

Hope This Help!!!

Answer:

[tex] \frac{ - 3}{ {x}^{2} - 5x + 6 }[/tex]

hope it helps

Answer:

You make me feel like I can do anything and I am so happy to be with you. Thank you for being the wonderful, amazing person that you are. You surprise me every day and you warm my heart every night. I am the person I am today because you've loved me and helped me, love.

Answer:

a = 2

b = 5

Step-by-step explanation:

Given :

(ar^b)^4 = 16r^20 ; a and b are positive integers :

Opening the bracket :

a^4r^4b = 16r^20

a^4 = 16 - - - - - (1)

r^4b = r^20 - - - (2)

a^4 = 16

Take the 4th root of both sides :

(a^4)^(1/4) = 16^1/4

a = 2

From (2)

r^4b = r^20

4b = 20

Divide both sides by 4

4b/4 = 20/4

b = 5

Hence ;

a = 2

b = 5

Answer:

(x - 3)^2 + (x + 2)^2 = 4

Step-by-step explanation:

Equation of circle:

(x - h)^2 + (x - k)^2 = r^2

(h, k) = (3, -2)

r = 2

(x - 3)^2 + (x - (-2))^2 = 2^2

(x - 3)^2 + (x + 2)^2 = 4

Answer:

Step-by-step explanation:

It is a  28×12 rectangle, minus a 5×6 cutout.

area of 28×12 rectangle = 336 ft²

area of 5×6 cutout = 30 ft²

area of carpet = 336-30 = 330 ft²

Answer:

y/x

Step-by-step explanation:

Since x=cos(e) and y=sin(e) and tan(e)=sin(e)/cos(e), then tan(e)=y/x.

Answer:

About $150 billion US dollars to buy Venezuela

Step-by-step explanation:

It's a big place