Solve for z
-3z-2/2 <5

Answers

Answer 1

Answer:

z> -2

Step-by-step explanation:

STEP 1) Any expression divided by itself equals 1

-3z-1<5

STEP 2) Move the constant to the right-hand side and change its sign

-3z<5+1

STEP 3) Add the numbers

5+1= 6

-3z<6

STEP 4) Divide both sides of the inequality by -3 and flip the inequality sign

z>-2


Related Questions

Calculate the number of ways to form a set of three distinct items such that no two of the selected items are in the same row or same column

Answers

Answer:

1200

Explanation:

Order does not matter, if we said xyz order, it would still not make a difference if it was zyx or yzx hence we use the combination formula:

nCr = n! / r! * (n - r)!

where n= total number of items

r= number of items chosen at a time

Combinations are used when the order of events do not matter in calculating the outcome.

We calculate using the formula:

(30×20×12)÷3!=1200

There are therefore 1200 ways for the three distinct items to not be in same row or column

A real estate agent has 12 properties that she shows. She feels that there is a 30% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute the probability of selling no more than 2 properties in one week. Round your answer to four decimal places.

Answers

Answer:

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A real estate agent has 12 properties that she shows.

This means that [tex]n = 12[/tex]

She feels that there is a 30% chance of selling any one property during a week.

This means that [tex]p = 0.3[/tex]

Compute the probability of selling no more than 2 properties in one week.

2 or less sold, which is:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138[/tex]

[tex]P(X = 1) = C_{12,1}.(0.3)^{1}.(0.7)^{11} = 0.0712[/tex]

[tex]P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678[/tex]

Then

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0138 + 0.0712 + 0.1678 = 0.2528[/tex]

0.2528 = 25.28% probability of selling no more than 2 properties in one week.

Pasagot po kasi d kopo alam​

Answers

Answer:

ano po ba ga gawin jn? para masagutan ko po

What is the most specific name for a quadrilateral with one pair of parallel sides?

A. trapezoid
B. rectangle
C. parallelogram
D. quadrilateral

help me pls

Answers

It’s C - parallelogram

Answer:

C: parallelogram

Step-by-step explanation:

Suppose a research company takes a random sample of 45 business travelers in the financial industry and determines that the sample average cost of a domestic trip is $1,192, with a sample standard deviation of $279. Construct a 98% confidence interval for the population mean (for domestic trip) from these sample data. Round your answers to 3 decimal places.

Answers

Answer:

98% confidence interval for the population mean =(1095.260,1288.740)

Step-by-step explanation:

We are given that

n=45

[tex]\mu=1192[/tex]

Standard deviation,[tex]\sigma=279[/tex]

We have to construct a 98% confidence interval for the population mean.

Critical value of z at 98% confidence, Z =2.326

Confidence interval is given by

[tex](\mu\pm Z\frac{\sigma}{\sqrt{n}})[/tex]

Using the formula

98% confidence interval is given by

[tex]=(1192\pm 2.326\times \frac{279}{\sqrt{45}})[/tex]

[tex]=(1192\pm 96.740)[/tex]

=[tex](1192-96.740,1192+96.740)[/tex]

=[tex](1095.260,1288.740)[/tex]

Hence, 98% confidence interval for the population mean (1095.260,1288.740)

If a projectile is fired with an initial speed of vo ft/s at an angle α above the horizontal, then its position after t seconds is given by the parametric equations x=(v0cos(α))t andy=(v0sin(α))t−16t2
(where x and y are measured in feet).
Suppose a gun fires a bullet into the air with an Initial speed of 2048 ft/s at an angle of 30 o to the horizontal.
(a) After how many seconds will the bullet hit the ground?
(b) How far from the gun will the bullet hit the ground? (Round your answer to one decimal place.)
(c) What is the maximum height attained by the bullet? (Round your answer to one decimal place.)

Answers

Answer:

a) The bullet hits the ground after 64 seconds.

b) The bullet hits the ground 113,511.7 feet away.

c) The maximum height attained by the bullet is of 16,384 feet.

Step-by-step explanation:

Equations of motion:

The equations of motion for the bullet are:

[tex]x(t) = (v_0\cos{\alpha})t[/tex]

[tex]y(t) = (v_0\sin{\alpha})t - 16t^2[/tex]

In which [tex]v_0[/tex] is the initial speed and [tex]\alpha[/tex] is the angle.

Initial speed of 2048 ft/s at an angle of 30o to the horizontal.

This means that [tex]v_0 = 2048, \alpha = 30[/tex].

So

[tex]x(t) = (v_0\cos{\alpha})t = (2048\cos{30})t = 1773.62t[/tex]

[tex]y(t) = (v_0\sin{\alpha})t - 16t^2 = (2048\sin{30})t - 16t^2 = 1024t - 16t^2[/tex]

(a) After how many seconds will the bullet hit the ground?

It hits the ground when [tex]y(t) = 0[/tex]. So

[tex]1024t - 16t^2 = 0[/tex]

[tex]16t^2 - 1024t = 0[/tex]

[tex]16t(t - 64) = 0[/tex]

16t = 0 -> t = 0 or t - 64 = 0 -> t = 64

The bullet hits the ground after 64 seconds.

(b) How far from the gun will the bullet hit the ground?

This is the horizontal distance, that is, the x value, x(64).

[tex]x(64) = 1773.62(64) = 113511.7[/tex]

The bullet hits the ground 113,511.7 feet away.

(c) What is the maximum height attained by the bullet?

This is the value of y when it's derivative is 0.

We have that:

[tex]y^{\prime}(t) = 1024 - 32t[/tex]

[tex]1024 - 32t = 0[/tex]

[tex]32t = 1024[/tex]

[tex]t = \frac{1024}{32} = 32[/tex]

At this instant, the height is:

[tex]y(32) = 1024(32) - 16(32)^2 = 16384[/tex]

The maximum height attained by the bullet is of 16,384 feet.


The circumference of a circle is 14 inches. Find the circle's radius and diameter.


Please help :)

Answers

circumference = 2(pi)(r)
14 = 2(pi)(r)
14/2pi = r
7pi = radius
diameter = 2r
diameter = 14pi

if f(x)=-5^x-4 and g(x)=-3x-2,find (f+g) (x)

Answers

Answer: (f-g)(x) = - 5^x + 3x - 2

Step-by-step explanation:

if f(x) = -5^x - 4 and g(x)= - 3x - 2,find (f-g)(x)

(f-g)(x) = -5^x - 4 - (-3x - 2)

(f-g)(x) = -5^x - 4 + 3x + 2

(f-g)(x) = - 5^x + 3x - 2

Lucian was hiking through a field directly toward his car, which was parked on a long, straight road perpendicular to his path, when he came to a swamp. He turned 55 degrees to the right and hiked 3 miles in that direction to reach the road. How far did he need to walk down the road to reach his car? (Please include a labeled diagram so step by step solution is easy to follow).

Answers

So basically she has 16 miles when she walked

help
Does this graph represent a function? Why or why not?

A- no because it fails the vertical line test
B- yes because it passes the vertical line test
C-yes because it passes the horizontal line test
D- no because it fails the horizontal line test

Answers

Answer: No, it fails the vertical line test.

Step-by-step explanation:

A: No because it fails the vertical line test

If 4x³+kx²+px +2 is divisible by x²+ α prove that kp=8.

Answers

Answer:

Attached images

It was just easier for me this way.

Let me know in comments if you have questions.

Step-by-step explanation:

Pleaseeeeee o someone help me

Answers

Answer:

63 cm and 63 cm

Step-by-step explanation:

Both are 63 cm because 9*7 is 63, and those are the measurements of both faces

Is AFGH ~ AJKL? If so, identify the similarity postulate or theorem that
applies.
G
K
10
6
30°
30°
Н
A. Similar - SAS
B. Cannot be determined
C. Similar - SSS
D. Similar - AA

Answers

Answer: B. Cannot be determined

Explanation:

We can't use SAS since we don't have two pairs of proportional sides. We only know one pair of sides. This also rules out SSS as well since we'd need 3 pairs of proportional sides.

We can't use AA because we don't have two pairs of congruent angles.

Currently, we simply don't have enough information to determine if the triangles are similar or not.

Twice the difference of a number and 6

Answers

Answer:

2x=6. I think friend it is correct.

Answer:

2(×-6)

Step-by-step explanation:

Correct me if im wrong thanks ●~●

Given the data points below, compute the sum of squared errors for the regression equation
Y
=
2
+
3
X
.


X

0

3

7

10

Y

5

5

27

31

Answers

Answer:

The sum of squared errors for the regression equation is 62.

Step-by-step explanation:

The sum of squared errors can be computed as follows:

X            Y           Y* = 2 + 3X         Y - Y*           (Y - Y*)^2

0            5                  2                      3                    9

3            5                  11                     -6                  36

7            27               23                     4                    16

10          31                32                    -1                     1  

20         68               68                     0                   62

From the above, we have:

Error = Y -  Y*

Error^2 = (Y - Y*)^2

Sum of squared errors = Sum of Error^2 = Total of (Y - Y*)^2 = 62

Therefore, the sum of squared errors for the regression equation is 62.

PLEASE HELP! Don’t know how to solve this or where to start. I tried multiplying and dividing but still got the wrong answer. How do I solve this problem?

Answers

Answer:

306 square meters.

Step-by-step explanation:

Divide the shape into 2 rectangles.

Lets do the one that is sticking to the top first.

The area is 6 * 15, which is 90.

Lets do the second rectangle. The area is:

27 * 8, which is 216.

Add them all up (90 + 216), which is 306.

Answer:

306m²

Step-by-step explanation:

Split the shape into two rectangles with the accureate lengths

The top-most of the two rectangles with length 6m and width 15m:

6 x 15 = 90 m² (area of rectangle A)

The bottom rectangle:

27(full length) x 8m(full width) = 216m²

Add the two areas together for the full shape

216 + 90 = 306m²

The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?

Answers

Step-by-step explanation:

Lets consider the unknown number as x

according to the question,

6-x= 5(x+2)

6-x= 5x+10

-x-5x=10-6

-6x=4

x=4/-6= 2/-3

x= -2/3

hope this helps

please mark me as brainliest.

Answer:

Step-by-step explanation:

Plato!!  Answer: -4

Hope this helped

In the xy-plane, the slope of the line y = mx − 4 is
less than the slope of the line y = x − 4. Which of the
following must be true about m?

[Show Workings}

I will give brainlist to the person with the right

Answers

If the slope of the line y = mx − 4 is  less than the slope of the line y = x − 4, this shows that m will be any values less than 1 i.e. m < 1. This gives a true statement

The slope of a line defines the steepness of such a line. It is the ratio of the rise to the run of a line.

The general formula for calculating an equation of a line is expressed as:

[tex]y = mx + b[/tex] where:

m is the slope of the line

Given the equation of the line, [tex]y=x-4[/tex] the slope of the line will be derived through comparison as shown:

[tex]mx=1x\\[/tex]

Divide through by x

[tex]\dfrac{mx}{x} = \dfrac{1x}{x}\\ m=1[/tex]

Hence the slope of the line y = x - 1 is 1.

According to the question, since we are told that the  slope of the line

y = mx − 4 is  less than the slope of the line y = x − 4, this shows that m will be any values less than 1 i.e. m < 1. This gives a true statement

Learn more about the slope of a line here: https://brainly.com/question/16949303

Answer:

Step-by-step explanation:

Multiply 25 x 47 x 3

Answers

3525 is your answer please consider brainliest<3

Multiply (x2 + 3x + 5)(2x2 - 2x + 1).
A. 2A - 6x2 + 5
B. 3x2 + x + 6
C. 2A + 4x2 + 5x2 - 7x + 5
D. 2x4 + 8x3 + 17x2 + 13x+5

Answers

A, C are correct

(X2 + 3x + 5) (2x2 -2x + 1)
= 2x4 -2x3 + 6x3 + x2 - 6x2 + 10x2 + 3x -10x + 5
= 2x4 + 4x3 + 5x2 - 7x + 5
= 2x4 + 4x3 + 11x2 - 7x - 6x2 + 5
= 2A - 6x2 + 5
Or = 2x4 + 4x3 -4x2 + 4x2 + 5 x2 - 7x + 5
= 2A + 4x2 + 5x2 - 7x + 5

Instruction
Active
Identifying a Graphical Solution
Try it
Which represents the solution of x2 + y2 > 16 and y? < 4x?
HE
of
64
N
2
2
N-
4
2
4

Answers

Answer: The Third Graph/ C

Step-by-step explanation:

Two vectors and are given by and . If these two vectors are drawn starting at the same point, what is the angle between them

Answers

Answer: hello your question is incomplete below is the complete question

The Two vectors;  A = 5i + 6j +7k and B = 3i -8j +2k.

answer;

angle = 102°

Step-by-step explanation:

multiplying the vectors

A.B = |A| * |B|* cosθ

hence : Cosθ = (Ai*Bi )+ (Aj*Bj) + ( Ak*Bk/ (√A^2 *√B^2 )

                       = 15 - 48 + 14 /(√25+26+29) * (√9+64+4)

                      = -0.206448454

θ = cos^-1 ( -0.206448454) = 101.9° ≈ 102°

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.8 millimeters and a standard deviation of 0.07 millimeters. Find the two diameters that separate the top 8% and the bottom 8%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

5.70 < X < 5.89

Step-by-step explanation:

Z = ±1.40507156

z = (x - μ)/σ

1.40507156 = (x - 5.8)/.07

5.70 < X < 5.89

what number when multiplied by 5 is one third of the sum of 64 and 56?​

Answers

Answer:

8

Step-by-step explanation:

Create an expression to model the situation. One can do this by simply rewriting the written expression in terms of numbers and variables. Use the variable (x) to represent the unknown value.

[tex]5(x)=\frac{1}{3}(64+56)[/tex]

Simplify this expression,

[tex]5(x)=\frac{1}{3}(64+56)\\5x=\frac{1}{3}(120)\\5x=40\\[/tex]

Use inverse operations to solve for (x),

[tex]5x=40\\x=8[/tex]

Christian and Tanae both leave Disneyland at the same time. Christian travels north at 65 mph. Tanae travels south at 55 mph. How long will it take them to be 540 miles apart? Which of the following equations would you use to solve this word problem?
65t + 55(t − 1) = 540.
65t + 55t = 540.
65t + 55(t + 1) = 540.
None of these choices are correct.

Answers

Answer:

Step-by-step explanation:

B looks like it would work.

You add speeds * time when you are travelling in opposite directions.

I don't know why you would add or subtract 1 as in A and C

120 * t = 540

t = 540/120

t = 4.5 hours.

So after 4.5 hours they are 540 miles apart.

Answer:

b

Step-by-step explanation:

Area of composite shapes ?

Answers

Answer: 58

Step-by-step explanation: you add them all together

Its 108 the other answer is the perimeter not the area.

Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five events 25% of the time, four events 30% of the time, three events 20% of the time, two events 15% of the time, one event 5% of the time, and no events 5% of the time. Find the probability that Javier volunteers for less than three events each month. P (x < 3) = 2 Find the expected number of events Javier volunteers in a month. 3.6 It is given that x must be below a certain value, which limits the rows to use in the PDF table. What is the sum of the probabilities of those rows?

Answers

Answer:

[tex]P(x < 3) = 25\%[/tex]

[tex]E(x) = 3[/tex]

Step-by-step explanation:

The given parameters can be represented as:

[tex]\begin{array}{ccccccc}x & {5} & {4} & {3} & {2} & {1}& {0} & P(x) & {25\%} & {30\%} & {20\%} & {15\%} & {5\%} & {5\%} \ \end{array}[/tex]

Solving (a): P(x < 3)

This is calculated as:

[tex]P(x < 3) = P(x = 0) + P(x = 1) + P(x =2)[/tex] ----- i.e. all probabilities less than 3

So, we have:

[tex]P(x < 3) = 5\% + 5\% + 15\%[/tex]

[tex]P(x < 3) = 25\%[/tex]

Solving (b): Expected number of events

This is calculated as:

[tex]E(x) = \sum x * P(x)[/tex]

So, we have:

[tex]E(x) = 5 * 25\% + 4 * 30\% + 3 * 20\% + 2 * 15\% + 1 * 5\% + 0 * 5\%[/tex]

[tex]E(x) = 125\% + 120\% + 60\% + 30\% + 5\% + 0\%[/tex]

[tex]E(x) = 340\%[/tex]

Express as decimal

[tex]E(x) = 3.40[/tex]

Approximate to the nearest integer

[tex]E(x) = 3[/tex]

answer please I’m dying from math

Answers

Answer:

[tex]\huge\boxed{\text{D)} \ 15x^4 + 2x^3 - 8x^2 - 22x - 15}[/tex]

Step-by-step explanation:

We can solve this multiplication of polynomials by understanding how to multiply these large terms.

To multiply two polynomials together, we must multiply each term by each term in the other polynomial. Each term should be multiplied by another one until it's multiplied by all of the terms in the other expression.

We can do this by focusing on one term in the first polynomial and multiplying it by all the terms in the second polynomial. We'd then repeat this for the remaining terms in the second polynomial.

Let's first start by multiplying the first term of the first polynomial, [tex]3x^2[/tex], by all of the terms in the second polynomial. ([tex]5x^2+4x+5[/tex])

[tex]3x^2 \cdot 5x^2 = 15x^4[/tex] [tex]3x^2 \cdot 4x = 12x^3[/tex] [tex]3x^2 \cdot 5 = 15x^2[/tex]

Now, we can add up all these expressions to get the first part of our polynomial. Ordering by exponent, our expression is now

[tex]\displaystyle 15x^4 + 12x^3 + 15x^2[/tex]

Now let's do the same with the second term ([tex]-2x[/tex]) and the third term ([tex]-3[/tex]).

[tex]-2x \cdot 5x^2 = -10x^3[/tex]  [tex]-2x \cdot 4x = -8x^2[/tex] [tex]-2x \cdot 5 = -10x[/tex] Adding on to our original expression: [tex]\displaystyle 15x^4 + 12x^3 - 10x^3 + 15x^2 - 8x^2 - 10x[/tex]

[tex]-3 \cdot 5x^2 = -15x^2[/tex] [tex]-3 \cdot 4x = -12x[/tex] [tex]-3 \cdot 5 = -15[/tex] Adding on to our original expression: [tex]\displaystyle 15x^4 + 12x^3 - 10x^3 + 15x^2 - 8x^2 - 15x^2 - 10x - 12x - 15[/tex]

Phew, that's one big polynomial! We can simplify it by combining like terms. We can combine terms that share the same exponent and combine them via their coefficients.

[tex]12x^3 - 10x^3 = 2x^3[/tex] [tex]15x^2 - 8x^2 - 15x^2 = -8x^2[/tex] [tex]-10x - 12x = -22x[/tex]

This simplifies our expression down to [tex]15x^4 + 2x^3 - 8x^2 - 22x - 15[/tex].

Hope this helped!

) A patient drank 12 ounces of orange juice. How many milliliters did the patient drink?

Answers

Answer:

He drank 354.882 mills of orange juice

Step-by-step explanation: One ounce is equal to 29.5735 mills, so you multiply 29.5735 by 12

Answer: 355 Millileters

The diagram below shows rectangle ABC is a midtsin of
BC, such that D,E and F are on the same line API AD
i = 53, 13" BE-sm
and DE 2 EF
84
2176
F
with reasons
3.1 Prove
AB - BF
3.2. Calculate AD
3.3 Complece. In are rigter angled A BEF, son 53, 13" - BE

Answers

Answer:

4x2+3=

Step-by-step explanation:

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Based on previous knowledge of Greek values, what prediction can best be made about Antinous's future? Antinous's friends will rally around him, and he will be victorious in battle. Antinous will gain great power and win the heart of Penelope at last. Antinous's friends will turn on him, and he will suffer for his actions. Antinous will become a poor man and wanderer like Odysseus. A cell phone carrier charges a fixed monthly fee plus a constant rate for each minute used. Part 1. In January, the total cost for 150 minutes was $ 62 while in February, the total cost for 175 minutes was $ 64 . The constant charge for each minute used is:a. 0.09b. 0.1c. 0.08Part 2. The fixed montly fee charged by the carrier is;fee = $__________________ What role did thegovernment play inwestern settlement? How did the society originate? 1. What behavior on the part of the writer indicates that he is another speech day?2. What effect does the inclusion of the Glad Bag and Bert Newtons hair transplant among recent social changes have on the reader (3) What criticism does the writer make of the local MP?4. What does the writer find most frustrating about typical chems school speech days? (5) How would the author probably respond if the school jazz band played a bracket of numbers?(6) What criticism does the writer make of the book-token awards? (7) What is the name "Tess Trucheart intended to convey about school captain? (8) Which parents tend to feel that a speech day has been the best speech day the school ever had? (9) Is the speech day described here held at a primary school or a high school? Explain your reasoning. (10) Suggest three speech-day changes that the writer would approve of WILL GIVE BRAINLIEST AND 40 POINTS! HURRY PLEASE!The function f(x) = ax is the exponential function with base a. Given this definition, provide an example of an exponential function, discuss the behavior and give the domain of the provided exponential function. product of a positive and a negative integer is ___________ Rs 600 will gave Rs 90 simple interest at 5 % per annum. Neil conducted a study on a group of women in which they viewed cartoons for an hour under one of two environmental conditions "either alone or with other participants. After the study, the participants rated how much they enjoyed watching the cartoons under the two different conditions. What can be concluded based on the results of this study? why cells are sometimes called the building block of life? Coordinates of C and D are (-14 , 6) and (x , 13) respectively.Given x is a positive integer and the distance CD is 25 units.Find the value of x. what is Employment equity act? A storeowner orders 25 calculators that cost $38 each. The storeowner can sell each calculator for $42. The storeowner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a $2 charge for each returned calculator (although the initial cost is refunded). What is the storeowner's profit? A square steel bar has a length of 5.1 ft and a 2.7 in by 2.7 in cross section and is subjected to axial tension. The final length is 5.10295 ft . The final side length is 2.69953 in . What is Poisson's ratio for the material Construct an amortization schedule for the first three months and the final three months of payments for a 30-year, 7 percent mortgage in the amount of $90,000. What percentage of the third payment is principal Who was Theodore Roosevelt and how was he affected by succession? If 5k = -25, then 5k - 1 = -25 - 1Segment proof CAN SOMEONE PLEASE EXPLAIN WHAT THIS MEANS What is the difference between telling and communication. Is it a misconception to say they are the same Midsouth Stitchery wants to improve their productivity. Their process yield is currently 91.56% based on 9816 yards of material. If they are going to improve their productivity to 92.10, how many yards of finished material will they have to produce from the same amount of material input