Answer:
It's a negative.
Step-by-step explanation:
The value of a positive number is still a positive number.
Find the missing segment in the image below
Answer: Missing segment = 45
Step-by-step explanation:
Concept:
Here, we need to know the idea of a similar triangle, ratio, and cross-multiplication.
In similar triangles, one can be obtained from the other by uniformly scaling (enlarging or reducing), possibly with additional translation, rotation and reflection. If two objects are similar, each is congruent to the result of a particular uniform scaling of the other.
A ratio is a quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
Cross-multiplication means multiplying the numerator of each fraction by the other's denominator or the other way round.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
Let x be the length of missing segment
Step One: write the proportion ratio
56 / 56 + 24 = 105 / 105 + x
Step Two: Cross-multiplication
56 (105 + x) = 105 ( 56 + 24)
Step Three: Simplify parenthesis and expand it
56 ( 105 + x) = 105 (80)
5880 + 56x = 8400
Step Four: Subtract 5880 on both sides
5880 + 56x - 5880 = 8400 - 5880
56x = 2520
Step Five: Divide 56 on both sides
56x / 56 = 2520 / 56
x = 45
Hope this helps!! :)
Please let me know if you have any questions
Q: EXPRESS IT IN THE FORM OF LINEAR EQUATION IN ONE VARIABLE:
•The ordinate of a point is thrice its abscissa.
Answer:
y = 3x
Step-by-step explanation:
abscissa is the x coordinate
ordinate is the y coordinate
y = 3x
We are given a jar full of thousands of red and blue marbles. We want to estimate the unknown proportion pof red marbles in the jar. To do this, we randomly draw 100 marbles and count reds: it so happens we drew 45 reds. Enter values in decimal form, rounded to four decimal places (or more).
We estimate the proportion of reds in the jar to be
Attach a give-or-take value to this estimate. (That is, estimate the standard error.)
For a 96% confidence interval, about how many standard errors should be added to and subtracted from the estimate?
Set up an approximate 96% confidence interval for the unknown proportion of reds in the jar.
Answer:
(0.3478, 0.5522)
Step-by-step explanation:
Given:
Total number of red marbles, x = 45
Total number of marbles, n = 100
Phat = x / n = 45 / 100 = 0.45
The confidence interval, C.I is given by :
Phat ± Zcritical * standard error
Phat ± Zcritical * √Phat(1 - Phat) / n
Zcritical at 96% = 2.0537
The standard error = √Phat(1 - Phat) / n
S.E = √(0.45 * 0.55) / 100 = 0.0497493
C.I = 0.45 ± (2.0537 * 0.0497493)
C.I = 0.45 ± 0.10217013741
C. I = (0.3478, 0.5522)
Please help!! The question is the image below VVV
Answers are also images after the picture.
Step-by-step explanation:
When adding two fractions with different bases (bottom numbers), we can use this function:
[tex]\frac{a}{b} + \frac{c}{d} = \frac{ad + cb}{bd}[/tex]
So, to apply this to the given question:
[tex]\frac{x+3}{x-6} +\frac{1}{x-2}[/tex]
= [tex]\frac{(x+3)(x-2)+(1)(x-6)}{(x-6)(x-2)}[/tex]
From the given answers, we see we don't need to simplify the resulting base number, which makes things a lot easier.
Multiply top using: (a + b)(c + d) = ac + ad + bc + bd= [tex]\frac{[(x*x) + (x*-2)+(3*x)+(3*-2)]+(x-6)}{(x-6)(x-2)}[/tex]
Simplify.= [tex]\frac{[x^2 -2x+3x-6]+(x-6)}{(x-6)(x-2)}[/tex]
Remove parentheses.= [tex]\frac{x^2 -2x+3x-6+x-6}{(x-6)(x-2)}[/tex]
Simplify again.= [tex]\frac{x^2 +2x-12}{(x-6)(x-2)}[/tex]
Now if we wanna be a little smart, we can see that from here, the only answer that has x^2 and something else, is A. But, just for show, lets factor.
Factor.= [tex]\frac{x(x+2)}{(x-6)(x-2)}[/tex]
Answer:
A) [tex]\frac{x(x+2)}{(x-6)(x-2)}[/tex]
1. Coach Jensson wants to celebrate the final win of the
school's baseball season with a trip to the local fast food
place. The team buys 22 delicious tacos and 17 orders
of savory nachos for $71.05. A few of the players are still
hungry, so the coach buys 10 more tacos and 5 more
orders of nachos for $27.25. If you don't consider tax,
what is the price of a taco and the price of an
order of nachos ?
What is the value of m in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
A. 18
B. 13.2
C. 12.5
D. 7
First
[tex]\\ \sf\longmapsto BD^2=AD\times DC[/tex]
[tex]\\ \sf\longmapsto BD^2=18^2+7^2[/tex]
[tex]\\ \sf\longmapsto BD^2=324+49[/tex]
[tex]\\ \sf\longmapsto BD^2=363[/tex]
[tex]\\ \sf\longmapsto BD=\sqrt{363}[/tex]
[tex]\\ \sf\longmapsto BD=19.2[/tex]
Now
Using Pythagorean theorem
[tex]\\ \sf\longmapsto BD^2+CD^2=m^2[/tex]
[tex]\\ \sf\longmapsto m^2=7^2+19.2^2[/tex]
[tex]\\ \sf\longmapsto m^2=49+363[/tex]
[tex]\\ \sf\longmapsto m^2=412[/tex]
[tex]\\ \sf\longmapsto m=\sqrt{412}[/tex]
[tex]\\ \sf\longmapsto m=20.3[/tex]
Nearest value in options is 18
Hence option a is correct
1. Đường kính của một loại trục máy là một đại lượng ngẫu nhiên có phân phối chuẩn N (μ = 250mm, σ2 = 25mm2). Trục máy được gọi là hợp quy cách nếu đường kính từ 245mm đến 255mm. Cho máy sản xuất 100 trục. Tính xác suất để:
a. Có 50 trục hợp quy cách.
b. Có không quá 80 trục hợp quy cách
Answer:
cannot understand the language man
but please follow
Please help!!!!!!!!!!!!!!!
Step-by-step explanation:
[tex]\triangle{ABC}[/tex] is similar to [tex]\triangle{ADE}[/tex] so we can write the ratio
[tex]\dfrac{x}{6+4} = \dfrac{2}{6}[/tex]
Solving for x, we get
[tex]x = \left(\dfrac{2}{6}\right)(10) = \dfrac{10}{3}[/tex]
I NEED HELP PLEASE! Can someone help me with the last two red boxes please? The rest of the question is for reference. Thank you for your time!
Answer:
I think you can go with:
The margin of error is equal to half the width of the entire confidence interval.
so try .74 ± [tex]\frac{.032}{2}[/tex] = [ .724 , .756] as the confidence interval
Step-by-step explanation:
write
the following numbers using Roman numerals 20
Step-by-step explanation:
xx is the Roman number of 20
The length of a rectangle is 7 inches
more inan its width. the area of
the rectangle is eqaul to 4 inches less
than 4 times the perimeter. Find the
length and width of the rectangle
Answer:
length = 20 inches
width = 13 inches
Step-by-step explanation:
l = length
w = width
area = l×w
perimeter = (2×l) + (2×w)
l = w + 7
l×w = 4×(2×l + 2×w) - 4
(w+7)×w = 4×(2×(w+7) + 2×w) - 4
w² + 7w = 4×(2w + 14 + 2w) - 4
w² + 7w = 8w + 56 + 8w - 4 = 16w + 52
w² - 9w - 52 = 0
the solution for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
here we use now w instead of x.
and a=1
b=-9
c=-52
w = (9 ± sqrt(81 - -208))/2 = (9 ± sqrt(81+208))/2 =
= (9 ± sqrt(289))/2 = (9 ± 17)/2
w1 = (9+17)/2 = 26/2 = 13
w2 = (9-17)/2 = -8/2 = -4
and a negative length does not make any sense for a geometric shape.
so, only w1 = 13 applies.
l = w + 7 = 13 + 7 = 20
Can someone work out this problem for me because I do not get it and it is due tomorrow for homework? 83.971 + 10.9 PLSS HELPPPP MEE!!!!
9514 1404 393
Answer:
94.9
Step-by-step explanation:
It is straightforward addition to find the sum of the two numbers to be 94.871. Perhaps you're interested in rounding to the appropriate precision.
Here, the number with the fewest digits right of the decimal point is 10.9. In order to round the addition result appropriately, that "exact" result must be rounded so it has this same number of digits to the right of the decimal point (1 digit).
94.871 ≈ 94.9
_____
Additional comment
When you're asked to round a sum (or difference) to the appropriate precision, always first compute the exact result using the full precision of all contributors. Then determine the contributor with the least precision (least significant digit is farthest to the left), and round the result to that same precision.
Cyruer.
Pucic Or the
(a) The surface area and volume of a sphere are in the ratio of 3 : 7
cm. What is the circumference
of its great circle and volume ? Find it.
Answer:
Hello,
Step-by-step explanation:
Area of the sphere:
[tex]S=4*\pi *r^2[/tex]
Volume of the sphere:
[tex]V=\dfrac{4*\pi *r^3}{3}[/tex]
[tex]\dfrac{S}{3} =\dfrac{V}{7} \\\\\dfrac{4*\pi *r^2}{3} =\dfrac{4*\pi *r^3}{3*7} \\\\1=\dfrac{r}{7} \\\\\\r=7\\\\great \ circle: 2*\pi* r=14*\pi\\[/tex]
[tex]Volume=\dfrac{4*\pi *7^3}{3} =\dfrac{1372*\pi }{3} \approx{1436,7550...(cm^3)}[/tex]
A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pediatrician Theodor Escherich, who identified it in 1885. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 50 cells.
Required:
a. Find the relative growth rate.
b. Find an expression for the number of cells after t hours.
c. Find the rate of growth after 6 hours. (Round your answer to the nearest integer.)
d. Find the number of cells after 6 hours.
Answer:
a. Relative Growth rate = 10% (6/60 * 100)
b. Number of cells after t hours = 50 * 1.1^t
c. Rate of growth after 6 hours = 77.2% (1.1⁶ - 1)
d. The number of cells after 6 hours is
= 89 cells
Step-by-step explanation:
A cell divides into two cells every 20 minutes
In one hour, the cell will divide into 60/20 * 2 = 6 cells
Each cell growth 6 cells per hour
Initial population of a culture = 50 cells
t = time in hours
a. Relative Growth rate = 10% (6/60 * 100)
b. Number of cells after t hours = 50 * 1.1^t
c. Rate of growth after 6 hours = 77.2% (1.1⁶ - 1)
d. The number of cells after 6 hours = initial population * growth factor
= 50 * 1.772
= 88.6
= 89 cells
3. You buy butter for $3 a pound. One portion of onion compote requires 2 oz of butter. How much does the butter for one portion cost?
Answer:
The butter for one portion cost $ 0.375.
Step-by-step explanation:
Given that you buy butter for $ 3 a pound, and one portion of onion compote requires 2 oz of butter, to determine how much does the butter for one portion cost, the following calculation must be performed:
2 oz = 0.125 lb
1 = 3
0.125 = X
3 x 0.125 = X
0.375 = X
Therefore, the butter for one portion cost $ 0.375.
What is the equation of the line that passes through (-3,-1) and has a slope of 2/5? Put your answer in slope-intercept form
A: y= 2/5x -1/5
B: y= 2/5x +1/5
C: y= -2/5x -1/5
Answer:
y = 2/5x + 1/5
Step-by-step explanation:
y = 2/5x + b
-1 = 2/5(-3) + b
-1 = -6/5 + b
1/5 = b
Determine the indicated term in the following arithmetic sequences.
1.) a subscript 5: {2, 5, 8, ...}
2.) a subscript 20: {4, 8, 12, ...}
3.) a subscript 18: {0,20,40,60, ...}
Answer:
[tex]a_5= 14[/tex]
[tex]a_{20}= 80[/tex]
[tex]a_{18}= 340[/tex]
Step-by-step explanation:
Solving (a):
We have:
[tex]a_1=2[/tex] --- first term
[tex]d = 5 -2 = 3[/tex] common difference
The 5h term is:
[tex]a_n= a_1 + (n - 1)d[/tex]
[tex]a_5= 2+ (5 - 1)*3[/tex]
[tex]a_5= 14[/tex]
Solving (b):
We have:
[tex]a_1 = 4[/tex] --- first term
[tex]d = 8 -4 = 4[/tex] common difference
The 20h term is:
[tex]a_n= a_1 + (n - 1)d[/tex]
[tex]a_{20}= 4+ (20 - 1)*4[/tex]
[tex]a_{20}= 80[/tex]
Solving (c):
We have:
[tex]a_1 = 0[/tex] --- first term
[tex]d = 20 -0 = 20[/tex] common difference
The 18th term is:
[tex]a_n= a_1 + (n - 1)d[/tex]
[tex]a_{18}= 0+ (18 - 1)*20[/tex]
[tex]a_{18}= 340[/tex]
Which expression is equivalent to RootIndex 4 StartRoot x Superscript 10 Baseline EndRoot?
Answer:x2.2
Step-by-step explanation:
HURRY PLEASE!!!!!
All of the following expressions are equal except ____. 1/4^3 4^2/4^5 4^5/4^2 4^-3
Answer:
4^5/4^2
Step-by-step explanation:
We know 1/a^b = a^-b
a^b/ a^c = a^(b-c)
1/4^3 = 4^-3
4^2/4^5 = 4^(2-5) = = 4^-3
4^5/4^2 = 4^(5-2) = 4^3
4^-3
Answer:
[tex]4^{5}/5^{2}[/tex] = not the same
Step-by-step explanation:
you have the equations
[tex]1/4^{3} = 0.015625\\\\4^{2}/4^{5} = 16/1024 = 0.015625\\\\4^{5}/4^{2} = 1024/16 = 65\\\\4^{-3} = 0.015625[/tex]
please help me with this
please mark this answer as brainlist
What should you multiply the top equation by so that yis eliminated when the equations are added? | 3x – y = -2 15x + 2y = 15 A. 4 B. -2 C. 2 D. -1
Answer:
c. 2
Step-by-step explanation:
2 (3x – y = -2) 6x - 2y = -4
6x - 2y = -4
Jake has corn growing on 66 2/3% of his 330 acres. How many acres are being used for corn?
on 220 acres
66 ⅔% is just ⅔ of 100%
330 * 2 / 3 = 220
what is the largest whole number
[tex]\large{\underline {\underline {\pmb {\sf {\pink{Answer:}}}}}}[/tex]
There is no 'largest' whole number.Answer:
The largest whole number is the approximate of positive infinity ( to the nearest ones digit )
g (x) = f ( x + 1).
graph
Which expression represents the perimeter of the rectangle above? . 6x + 3. 10x + 6. 8x² + 6x. 12x + 6
There is no any image of rectangle
Write six hundred twelve thousand, three hundred in the place-value chart. Then write the number in expanded
Answer:
612,300
600,000
10,000
2,000
300
00
0
c program to generate prime numbers from 1 to 100.Also count prime numbers.
Answer:
Step-by-step explanation:
#include <stdio.h>
int main()
{
int num1, num2, flag_var, i, j;
/* Ask user to input the from/to range
* like 1 to 100, 10 to 1000 etc.
*/
printf("Enter two range(input integer numbers only):");
//Store the range in variables using scanf
scanf("%d %d", &num1, &num2);
//Display prime numbers for input range
printf("Prime numbers from %d and %d are:\n", num1, num2);
for(i=num1+1; i<num2; ++i)
{
flag_var=0;
for(j=2; j<=i/2; ++j)
{
if(i%j==0)
{
flag_var=1;
break;
}
}
if(flag_var==0)
printf("%d\n",i);
}
return 0;
}
A copy machine makes 36 copies per minute How many copies does it make in 3 minutes and 45 seconds
Step-by-step explanation:
Hope it is helpful.
Thank you.
Identify the x-intercept point(s) of the parabola.
A) (0,3) and (-1,0)
B) (3,0)
C) (3,0) and (0,3)
D) (-1,0) and (3,0)
Answer:
D
Step-by-step explanation:
First of all, there are 2 different points. That lets out B.
The graph crosses the x axis at 3 and -1 Those two are x values. That lets out C and A.
So all you are left with is D. The y values have to be 0. The x values are 3 and - 1
Following are the published weights (in pounds) of all of the team members of Football Team A from a previous year.
177; 204; 211; 211; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174;
185; 242; 188; 212; 215; 247; 241; 223; 220; 260; 245; 259; 278; 270;
280; 295; 275; 285; 290; 272; 273; 280; 285; 286; 200; 215; 185; 230;
250; 241; 190; 260; 250; 302; 265; 290; 276; 228; 265
Organize the data from smallest to largest value.
Part (a)
Find the median.
Part (b)
Find the first quartile. (Round your answer to one decimal place.)
Part (c)
Find the third quartile. (Round your answer to one decimal place.)
Part (d)
Construct a box plot of the data.
Answer:
im not sure but i do have a tip when you go to goo gle i want you to simplify your question (not what you asked on here) then copy your question as it is simple then search it on here because its slightly for others to understand
Step-by-step explanation:
.