Answer:
A function f is onto if and only if, each element in the codomain of f is the image of at least one element in the domain of f.
Step-by-step explanation:
A function f is onto if and only if, each element in the codomain of f is the image of at least one element in the domain of f.
Let us consider a function f which maps the elements of X to each element in the domain of f, such that
f(1) = D
f(2) = B
f(3) = C
f(4) = C
From here, we can determine the domain and range, so
Domain X of f = {1, 2, 3, 4}
Domain Y of f = {D, B, C}
Therefore, it is clear that every element in the codomain of f is the image of at least one element in the domain of f.
Suppose in the population, the Anger-Out score for men is two points higher than it is for women. The population variances for men and women are both 20. Assume the Anger-Out scores for both genders are normally distributed. Given this information about the population parameters:
(a) What is the mean of the sampling distribution of the difference between means?
(b) What is the standard error of the difference between means?
(c) What is the probability that you would have gotten this mean difference or less in your sample?
Answer:
a)= 2
b) 6.324
c) P= 0.1217
Step-by-step explanation:
a) The mean of the sampling distribution of X`1- X`2 denoted by ux`-x` = u1-u2 is equal to the difference between population means i.e = 2 ( given in the question)
b) The standard deviation of the sampling distribution of X`1- X`2 ( standard error of X`1- X`2) denoted by σ_X`1- X`2 is given by
σ_X`1- X`2 = √σ²/n1 +σ²/n2
Var ( X`1- X`2) = Var X`1 + Var X`2 = σ²/n1 +σ²/n2
so
σ_X`1- X`2 =√20 +20 = 6.324
if the populations are normal the sampling distribution X`1- X`2 , regardless of sample sizes , will be normal with mean u1-u2 and variance σ²/n1 +σ²/n2.
Where as Z is normally distributed with mean zero and unit variance.
If we take X`1- X`2= 0 and u1-u2= 2 and standard deviation of the sampling distribution = 6.324 then
Z= 0-2/ 6.342= -0.31625
P(-0.31625<z<0)= 0.1217
The probability would be 0.1217
a coffee supplier finds that it cost $850 to roast and package 100 pounds of coffee in a day and $2850 to produce 500 pounds of coffee in a day. assume that the cost function is linear. express the cost as a function of the number of pounds of coffee they produce each day
Answer:
f(x) = 5x + 350
Step-by-step explanation:
Create 2 points using the information given, where x is the number of pounds of coffee and y is the cost.
The 2 points are (100, 850) and (500, 2850)
Then, use rise over run to find the slope:
(y2 - y1) / (x2 - x1)
(2850 - 850) / (500 - 100)
2000 / 400
= 5
Then, plug in the slope and a point into y = mx + b to find b:
y = mx + b
850 = 5(100) + b
850 = 500 + b
350 = b
Plug in the slope and y intercept into y = mx + b to get the equation:
y = 5x + 350
Put it into function form:
f(x) = 5x + 350 is the cost function
i need help dont just answer if you dont know the question only answer if you know the question
Answer:
164 cookies each
Step-by-step explanation:
divide 492 by 3. 3 Because it says Diana and her friends, and 492 because that is the total cookie count.
Please help me solve this question will give you braisnlt !
Answer:
[tex]s = 54m +160[/tex]
Step-by-step explanation:
Given: The attachment
Required: Determine the equation
We start by picking any two equivalent points on the table:
[tex](m_1,s_1) = (2,268)[/tex]
[tex](m_2,s_2) = (4,376)[/tex]
Next, we determine the slope, M:
[tex]M = \frac{s_2 - s_1}{m_2 - m_1}[/tex]
[tex]M = \frac{376 - 268}{4-2}[/tex]
[tex]M = \frac{108}{2}[/tex]
[tex]M = 54[/tex]
The equation is then calculated as:
[tex]s - s_1 = M(m - m_1)[/tex]
Where:
[tex]M = 54[/tex]
[tex](m_1,s_1) = (2,268)[/tex]
So, we have:
[tex]s - 268 = 54(m - 2)[/tex]
Open bracket
[tex]s - 268 = 54m - 108[/tex]
Collect like terms
[tex]s = 54m - 108 + 268[/tex]
[tex]s = 54m +160[/tex]
Hence, the equation is: [tex]s = 54m +160[/tex]
suppose the lowest elevation to which the submarine shown has been tested is -490 meters. if it is currently at an elevation of -125 meters, how many meters more can it dive without going below the lowest elevation tested? pls answer quickly
Answer:
365 more meters
Step-by-step explanation:
490-125=365
PLZ HELP ME AND I WILL MARK BRAINLIEST!!!
Answer:
-315 + 100 & -230 + 15
Step-by-step explanation:
Mariah walks 6miles per hour. Bobby walks 4,400 yards in in a half-hour. Given that 1 mile = 1,760 yards, how much faster does Mariah walk than Bobby?
[tex]\huge\mathbb\purple{AnSwEr}[/tex]
[tex]\huge❤\bold\red{Hello}❤[/tex]
Hey mate 1.5miles per hour is your Answer
[tex]My \: pleasure \: to \: help \: you \: anytime.[/tex]
[tex]Mark \: me \: as \: brainliest .[/tex]
[tex] \huge \mathscr \pink \star\underline {Follow \: me } \red \star[/tex]
find j(3x^4y^7) if j(n)=n^3
Answer:
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x-(4*y-7)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve 3x-4y+7 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-4y+7 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 7/4 so this line "cuts" the y axis at y= 1.75000
y-intercept = 7/4 = 1.75000
Calculate the X-Intercept :
When y = 0 the value of x is -7/3 Our line therefore "cuts" the x axis at x=-2.33333
x-intercept = -7/3 = -2.33333
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.750 and for x=2.000, the value of y is 3.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.250 - 1.750 = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.500/2.000 = 0.750
Geometric figure: Straight Line
Slope = 1.500/2.000 = 0.750
x-intercept = -7/3 = -2.33333
y-intercept = 7/4 = 1.75000
Ahmed is saving up his money to buy a iPad that costs $319.50. Right now he has $21.95, and can save $63.00 each week. How many weeks will it take for Ahmed to have enough money to buy the iPad?
Answer:
5 weeks
Step-by-step explanation:
319.50-21.95=297.55
297.55/63.00=4.72
Since he can't wait for those many weeks, you would round it to 5 so he has enough money
Alyssa is learning to drive her parents' car.
She increases her speed for 20 seconds.
She slows down for 10 seconds.
She stays approximately the same speed for the next 20 seconds.
She then slows down to a stop for the last 5 seconds.
Select the graph that best represents Alyssa's speed over time.
Answer:
D
Step-by-step explanation:
I just did this test and D was the right answer.
The graph that best represents Alyssa's speed over time can be determined by using the given data. The correct option is C).
Given :
Alyssa is learning to drive her parents' car.
The following steps can be in order to determine the graph that best represents Alyssa's speed over time:
Step 1 - The graph must be plotted between speed vs time.
Step 2 - According to the given data, Alyssa increases her speed for 20 seconds, which means the graph is increasing gradually up to the next 20 seconds.
Step 3 - Now, she slows down for 10 seconds that is, the graph decreases up to the next 10 seconds.
Step 4 - Now, she stays at approximately the same speed for the next 20 seconds that means the graph is constant for up to the next 20 seconds.
Step 5 - Now, she then slows down to a stop for the last 5 seconds that means the graph again decreases for the next 5 seconds.
From the above steps, it can be concluded that option C) is correct.
For more information, refer to the link given below:
https://brainly.com/question/14375099
Find – 8-(-3). -8-(-3) =
Answer:
-5.5
Step-by-step explanation:
what type of transformation maps abc onto def
Answer:
The answer is translation :)
(4,8), m=5 need a step by step answer please
Answer:
8=4x+5
Step-by-step explanation:
Slope-intercept form: y=mx+b
1. Identify your terms:
x: 4
y:8
b/slope: 5
2. Solution:
8=4x+5
Please help me please I am failing
Answer
1/3
Step-by-step explanation:
This is because the number of spaces in between all the dots is 3 and so each of those spaces is 1/3, therefore a-b is one line which is 1/3. :3
How do you skip videos on edunuity?
Answer: let the video play for a while, pause, disconnect from wifi, reconnect, then refresh the page.
Step-by-step explanation:
You may have to press next activity again and it might not work the first time but I promise it works.
Answer:
you skip when it comes to the very end
Step-by-step explanation:
Please Give Brainleastwhats -5/8 divided by -5/16
Answer:
-2 is the answer
Step-by-step explanation:
i hope this helped
Answer:
2
Step-by-step explanation:
Make a common denominator so -5/8 would be -10/8. It is now -10/16 divided by -5/16. Cancel out the 16 and you get -10 divided by -5. The answer is 2. Brainliest would be nice if I helped you out. Thanks.
How many solutions does the equation
10x – 9x + 1 = 1 + 5 - 4 have?
Answer:
One Solution: x = 1
Step-by-step explanation:
Step 1:
10x - 9x + 1 = 1 + 5 - 4 Equation
Step 2:
x + 1 = 2 Combine Like Terms
Step 3:
x = 2 - 1 Subtract 1 on both sides
Answer:
x = 1
Hope This Helps :)
pages in a book are numbered from 1 to 1001. How many times does the number 0 appear?
Answer:
192 times
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75
76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 - 11 times
101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125
126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150
151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175
176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 - 31 times
201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225
226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250
251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275
276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 - 51 times
301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325
326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350
351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375
376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 - 71 times
401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425
426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450
451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475
476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 - 91 times
501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525
526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550
551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575
576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 - 111 times
601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625
626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650
651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675
676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 - 131 times
701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725
726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750
751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775
776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 - 151 times
801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825
826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850
851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875
876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 - 171 times
901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925
926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950
951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975
976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 - 192 times
$2,500 is invested in an account earning 8.4% interest compounded annually. How many years did it take to reach $4,000?
Answer:
3 years
Step-by-step explanation:
HELP PLEASE I REALLY NEED IT
Answer:
1.5
Step-by-step explanation:
what is the answer to 3 5/12 + 1 3/8? another question since i don’t have many points lol. what is 2 9/10 - 1 7/18? these are mixed numbers btw. please answer and thank you!
Answer:
For the first one:
416/96
For the second one:
270/180
Step-by-step explanation:
Lauren saves 30% of her paycheck to purchase the IPhone 12. She earns $325 per paycheck. How much will Lauren have for her IPhone if she has saved from two paychecks?
Answer:
$195
Step-by-step explanation:
30% of one paycheck = (30/100) x $325 = $97.5
30% of two paychecks = $97.5 x 2 = $195
Express as a fraction or a mixed number
1 1/2%
Answer:
5 and 1/2
Step-by-step explanation:
How many gallons of pure water must be added to 10 gal of 30% salt water to make a solution that is 25% salt water?
Answer:
2 gallons must be added Hope this helps!
Looking for geometry proof help on a problem with parallelograms and an isosceles triangle
Answer:
Step-by-step explanation:
30. Given: rectangles QRST and RKST
Prove: ΔQSK is isosceles
An isosceles triangle is a triangle which has two sides and two angles to be equal.
Thus,
From rectangle QRST, the diagonals of rectangles are similar.
i.e RT ≅ QS (diagonal property)
Also, RT ≅ SK (opposite sides of rectangle RKST)
Thus,
RT ≅ QS ≅ SK
Therefore,
ΔQSK is an isosceles triangle.
31. Given: Rectangles QRST, RKST and JQST
Prove: JT ≅ KS
From rectangle QRST, the diagonals of rectangles are similar.
i.e RT ≅ QS (diagonal property)
But,
JT // QS and RT // KS
Thus,
JT ≅ QS (opposite sides of rectangle JQST)
also,
RT ≅ KS (opposite sides of rectangle RKST)
So that,
JT ≅ QS ≅ RT ≅ KS
Therefore,
JT ≅ KS
Given the equation [tex]\sqrt[2]{x-5} = 2[/tex], solve for x and identify if it is an extraneous solution.
x = 6, solution is not extraneous
x = 6, solution is extraneous
x = 11, solution is not extraneous
x = 11, solution is extraneous
Answer:
x = 6, solution is not extraneous
Step-by-step explanation:
If you go and plug in 6 then the equation works well and there are no extraneous solutions.
2x – 10 = 4x
solve for x
Answer:
Step-by-step explanation:
2x-10=4x
-10=4x-2x
-10=2x
-10÷2=x
-5=x
Peter and Steven take 5 1/3 hours to do a job. Steven alone takes 16 hours to do the same job how long would it take peter to do the same job alone?
Answer: It would take 8 hours!!
Step-by-step explanation: Hope this helps!! <3
Answer:
Peter will complete the job in 8 hours
Step-by-step explanation:
Notice that 5 1/3 hours is 16%2F3 hours.
So, their combined rate of work is 1%2F%28%2816%2F3%29%29 = 3%2F16 of the job per hour.
Steven's rate of work is 1%2F16 of the job per hour.
Hence, Peter's rate of work is the difference 3%2F16 - 1%2F16 = 2%2F16 = 1%2F8 of the job per hour.
It implies that Peter will complete the job in 8 hours, working alone.
PLEASE, ANYONE, HELP!! I WILL GIVE BRAINLIEST IF YOU'RE CORRECT AND 20 POINTS!!
Answer:
-300
Step-by-step explanation:
z = -21/0.07
z = -300
Answer:
-300
Step-by-step explanation:
Divide -21 by 0.07 to get -300
It was a bumper crop for hominy this year, and The Hominy Man hoped to set a price for a case that can maximize profit. The annual fixed cost for the hominy harvesting and other equipment is $200 and the variable cost per case is $20. The price (p) is related to demand (v) according to the following equation: v = 800 - 16p. To maximize the profit, the optimal price of a case should be_____. The maximized profit is_____.
Answer:
optimal price = $35
Maximum profit = $3400
Step-by-step explanation:
We are given;
The annual fixed cost for the hominy harvesting and other equipment = $200
The variable cost per case = $20
Since demand is given as v, thus total variable cost = 20v
Thus;
Overall total cost = fixed cost + total variable cost = 200 + 20v
We are given relationship between p and v as;
v = 800 - 16p
Making p the subject gives;
p = (800 - v)/16
Now, total revenue is given by;
Total Revenue = vp
Thus;
Total revenue = v[(800 - v)/16] = 50v - v²/16
Now, profit will be;
Profit(P) = Total revenue - total cost
P = (50v - v²/16) - (200 + 20v)
P = 50v - (v²/16) - 200 - 20v
P = 30v - (v²/16) - 200
Maximum profit will be at dP/dv = 0
Thus;
dP/dv = 30 - (v/8)
At dP/dv = 0
30 - (v/8) = 0
v/8 = 30
v = 30 × 8
v = 240
Optimal price will be gotten by putting 240 for v in the price equation which is p = (800 - v)/16.
Thus;
p = (800 - 240)/16
p = 560/16
p = $35
So, optimal price = $35
Maximum profit will be at v = 240.so let's plug in 240 for v into the profit equation.
Thus;
P = 30(240) - (240²/16) - 200
P = 3400
Maximum profit = $3400