I want help answering part c on question 5 to figure out what the measure of angle ROS is

Surface area of rectangular prism,is'

A=2(wl+hl+hw)

h-height

l-length

w-width

A=2(3X3 + 4X3 + 4X3)

A=66 Sq units

Solution:

Given the expressions;

A linear monomial is a polynomial whose degree is one and has one terms.

A constant monomial is a term with only a number.

A fourth degree binomial is a polynomial whose degree is 4 and has two terms.

A quadratic binomial is a polynomial whose degree is 2 and has two terms.

ANSWERS:

The inequality no greater than mean at most or maximum.

The inequality can be written as,

Thus, the above inequation represents the given inequality.

Answer:

Domain: A, [tex)(-\infty, \infty)[/tex]

Range: [tex][4, \infty)[/tex]

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

The probability that you will get at least one question correctly is 3/4

Given that the test has  5 questions and  4 choices per question. Therefore:

Total number choices = 5 x 4 = 20 choices

If you are to get at least one question correctly.  That means you can either get 1, 2, 3, 4 or 5 questions correctly. Therefore, the probability of getting at least one question correctly will be the sum of the probability of getting 1, 2, 3, 4 or 5 questions correctly:

Note: there are only 5 correct answers and 20 choices

P(1 correct) = 1/20, P(2 correct) = 2/20 = 1/10, P(3 correct) = 3/20, P(4 correct) = 4/20 = 1/5 and P(5 correct) = 5/20 = 1/4

P(at least one question correctly) = P(1 correct) + P(2 correct)  + P(3 correct) + P(4 correct)  + P(5 correct)

P(at least one question correctly) = 1/20 + 1/10 + 3/20 + 1/5 + 1/4 = 3/4

Therefore, the probability of you getting at least one question correctly is 3/4

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Step-by-step explanation:

A. 525 - 500 = 25

B. 0 - 80 = -80

C. 100 - 65 = 35

D. 2,500 - 2,597 = 97 shortage

so: -97

E. 2,650 - 2,502 = 148 surplus  

so: 148

The value of x is 9.

Given:

The length of the tangent lines are given as, 5x and 7x-18.

The objective is to find the value of x.

The two tangents of a circle drawn from a point outside a circle will always be equal.

Then, the value of x can be solved by,

Hence, the value of x is 9.

Answer:

[tex]3x^2\left(3+x\right)[/tex]

Step-by-step explanation:

Look for common factor: [tex]3x^{2}[/tex] since we take the least exponent

and between numbers (3,9) the common factor is 3.

Thefore, we need to divide [tex]3x^2[/tex] by the equation.

[tex]3x^2(3+x)[/tex].

[tex]9x^2+3x^3[/tex]

[tex]\frac{9x^2}{3x^2} +\frac{3x^3}{3x^2} \\ \\3x^2(3+x)[/tex]

[tex]9x^2+3x^3=3x^2(3+x)[/tex].

The length of the diameter of the circle is found as the 2×(√5).

,

For the given question;

The equation of the circle is given as;

(x-4)^2+(y-2)^2=5

Comparing the equation of the circle with the standard form.

Radius r² = 5

Then, r = √5

Now, the diameter is the twice of the radius.

Diameter = 2×radius

Diameter = 2×(√5)

Thus, the length of the diameter of the circle is found as the 2×(√5).

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We need to find the mean and the standard deviation with the next information:

- 30 adults were surveyed

-The probability that an adult was never in a museum is 13%.

To find the mean:

30 adults *0.13 probability that an adult was never in a museum

= 3.9

Answer:

y = -4x - 18

Step-by-step explanation:

Slope: -4; (-3, -6)

                 (x₁, y₁)

y - y₁ = m (x - x₁)

y - (-6) = -4 (x - (-3)

y + 6 = -4 (x + 3)

y + 6 = -4x - 12

   -6            -6

------------------------

y = -4x - 18

I hope this helps!

Applying proportion

we have that

15 weeks/ 3 birdhouses=x/11 birdhouses

solve for x

x=(15/3)*11

x=5*11

335 children should be in the park, if the ratio of children to adults at an amusement park is typically 5 to 3 and 201 adults are in the park.

A ratio is the comparison of two similar quantities or the proportion of one similar quantity to another. With the same meaning, ratios can be expressed in three different ways using words or symbols. In other words, ratios can be expressed by sandwiching a fraction bar, the word "to," or the ratio symbol ":" between the two values being compared.

The ratio of ninth-graders to tenth-graders can take on any of the three forms listed below, using the previous example of comparing the two groups of students in Ms. Jones' class:

10 /20

10 to 20

10 : 20

Given ratio of children to adults is 5:3

5 + 3 = 8

5/8 are children and 3/8 are adults

Let the total no. of people be x

3/8 = 201/x

x = 201 × 8/3

  = 536

Now. no. of children is

5/8 × 536

= 335

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Given:

There are given that the slope and the point:

Explanation:

To find the equation, first, we need to see the formula for slope-intercept form:

So,

From the slope-intercept formula;

Where,

Now,

We need to find the value of b by using given information:

So,

Put all the given values into the given slope-intercept form:

Then,

Put the value of b and m into the slope-intercept form;

So,

Final answer:

Hence, the equation of a line is shown below;

A (0,2) B (5,4)

C(1,8) D( 3,3)

Apply the slope formula:

For AB

For CD

So both slopes are negative reciprocals of each other.

They are perpendicular lines.

The length of strapping (in inches) needed to attach a pipe to the wall. Assume the wall is at a right angle and the straps connect to the wall at right angles is 31.77 in.

Given :

Length = 16.00 in diameter pipe

Now let determine or find the Length  since the diameter pipe is 16.00 in.

Length :

Length = 1.10 ×2 + 16.00 /2 × 2 + 1 /4 π · 16.00

Length = 3.20 + 16.00 + 4π

Length = 19.20 + 4π

Length = 31.766

Length = 31.77 inches  (Approximately)

Therefore the length is 31.77 inches.

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The angles that are formed by the parallel lines and the transversal are:

1. Vertical Angles

2. Same-side Exterior Angles

3. Corresponding Angles

4. Alternate Interior Angles

5. Alternate Exterior Angles

6. Same-side Interior Angles

7. Adjacent Angles

The following are special angle pairs that are formed when a transversal intercepts two parallel lines:

1. Vertical Angles: These are nonadjacent angles that share the same vertex and are directly opposite each other. An example of such angle pair is angle 6 and angle 7.

2. Same-side Exterior Angles: These are exterior angles that lie on the same side of a transversal but on sperate parallel lines. Example include angle 2 and angle 8.

3. Corresponding Angles: These angles are located on each parallels lines that are cut across by a transversal and lie relatively in the same corner to each other. An example is, angle 1 and angle 5.

4. Alternate Interior Angles: an example of such pair of interior angles that lie on opposite side of a transversal is, angle 3 and angle 6.

5. Alternate Exterior Angles: An example of a pair of alternate exterior angle is angle 2 and 7.

6. Same-side Interior Angles: These pair of angles are interior angles on the same side of a transversal. Example of such pair of angles is, angle 4 and angle 6.

7. Adjacent Angles: These are angles that share a common side and a vertex, an example is: angle 1 and angle 2.

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Answer:

5,12,13

Step-by-step explanation:

first you write out a^2 or a squares + b^2=C ^2 You plug in for a and b the smaller numbers then for c you put the biggest number. Now square everything. And you should get 25 for a. 144 for b. 169 for c. Now add a and b which is25+144 and that equals 169. So 5,12,13 is your answer.

For a polynomial to be in standard form, the terms are arranged from the highest exponent to the lowest exponent.

Thus, from the polynomials given, the polynomial in standard form is:

This is because the term with the highest exponent is the first term, the next exponent is 3, followed by the term with an exponent of 2, then the last term is the term with the least exponent.

ANSWER:

Answer: 500,000

Step-by-step explanation: To round the numbers their nearest hundred thousand, first we have to make the first five digits into the lower  number that ends with zero  

Example: 52437 is rounded to the nearest hundred thousand is  52000

Sorry if you don't understand I'm just bad at explaining :) T^T

Solution

a) Latoya's test score average Increased by 8 points this semester.

This simply means there is an increase of 8 points in Latoya's test score average.

Thus, a signed number that represents this change in average is +8 points

b) Isabel lost 70 dollars from her pocket.

This simply means there is a decrease in the money in Isabel's pocket.

Thus, a signed number to represent this change is -70 dollars

Using the normal distribution, it is found that:

a) The variable used in this problem is: The time (in hours) a 4-year old spends unsupervised per day.

b) The distribution is: X ~ N(3, 1.8).

c) The probability is P(X < 1) = 0.1335, and is given by the bottom left graph.

d) The percentage of children who spend over 10 hours a day unsupervised is of 0.01%.

e) 90% of the children spend at least 0.7 hours unsupervised.

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given by the following rule:

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

The variable used in this problem is:

The time (in hours) a 4-year old spends unsupervised per day, as the distribution involves only 4-year old children, and the mean and the standard deviation are measured in hours.

The mean and the standard deviation of the distribution are given, respectively, by:

[tex]\mu = 3, \sigma = 1.8[/tex].

Hence the distribution can be described approximately as follows:

X ~ N(3, 1.8).

The probability that a person spends less than 1 hour a day unsupervised is the p-value of Z when X = 1, hence:

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

Z = (1 - 3)/1.8

Z = -1.11

Z = -1.11 has a p-value of 0.1335.

The bottom left graph shows this probability, as the number in hours cannot be less than 0(there is no negative number of hours).

The proportion of children who spends over 10 hours a day unsupervised is one subtracted by the p-value of Z when X = 10, hence:

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

Z = (10 - 3)/1.8

Z = 3.89

Z = 3.89 has a p-value of 0.9999

1 - 0.9999 = 0.0001, hence the percentage is of 0.01%.

For item e, the measure is the 10th percentile, which is X when Z = -1.28, hence:

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

-1.28 = (X - 3)/1.8

X - 3 = -1.28 x 1.8

X = 0.7 hours.

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Answer: it is yes

Step-by-step explanation:

When the crate folow top botom nuberto

We need to find the point given the domain and range of the relation:

For domain and range, the result includes the number. Hence, the end values are given by the points.

For point C:

(-6,4)

Because point c is on quadrant two, where x is negative and y is positive.

Also, it takes the higher y value.

For point D:

(6,3)

Because point D is on quadrant 1, where x is positive and y is also positive.

Answer:

8 points for solving 6 questions?? Nah thats worth 25 points

Step-by-step explanation:

Explanation:

The formula is given below as

By substituting the values, we will have

Hence,

The final answer to the nearest hundredth is

Let us divide 6 by 1/4

6/1 ÷ (1/4)

6/1*4/1 (Turning the second fraction upside down and multiplying it by the first fraction)

24 (Multiplying)

The answer is 24.

Answer:

Step-by-step explanation:

Since there are four 1/4 in 1 then you have to multiple 6*4= 24!