Answer:
Maggie is 11 years old
Step-by-step explanation:
let m be Maggie and b be her brother.
[tex]m+b=59[/tex]
[tex]b=4m-6[/tex]
substitute for b.
[tex]m+4m-6=59[/tex]
[tex]5m-6=59[/tex]
add 6 to both sides
[tex]5m=55[/tex]
divide by 5 on both sides
[tex]m=11[/tex]
double check by finding the brother's age by substituting for m
[tex]11+b=59[/tex]
[tex]b=48[/tex]
What is a40
a
40
of the arithmetic sequence for which a8=60
a
8
=
60
and a12=48
a
12
=
48
?
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Answer:
-36
Step-by-step explanation:
Using the expression for the general term, you can fill in the known values and solve for the parameters of the sequence.
an = a1 +d(n -1)
a8 = a1 + d(8 -1) = 60
a12 = a1 + d(12 -1) = 48
The difference of these equations is ...
(a1 +7d) -(a1 +11d) = (60) -(48)
-4d = 12
d = -3
Substituting into the first equation, we have ...
a1 +7(-3) = 60
a1 = 81 . . . . . . . . . add 21
Then the 40th term is ...
a40 = 81 -3(40 -1) = 81 -117
a40 = -36
The probability of someone ordering the daily special is 52%. If the restaurant expected 65 people for lunch, how many would you expect to order the daily special? Group of answer choices
Answer:32.5% fo people will buy
Step-by-step explanation:
mostly half of the people with order
determine a simplified expression
Answer:
For Task B: [tex]3x^4 - 2x^3[/tex]
Step-by-step explanation:
Given that Volume = l*w*h, we can plug in the values on the diagram, so we get the equation (3x-2)([tex]\frac{1}{2}x[/tex])([tex]2x^2[/tex]) = [tex](\frac{3}{2} x^2 - x)(2x^2) = 3x^4-2x^3[/tex]. Hope this helps!!!
Complete the sentence below.
The expression 52x – 169 is equivalent to 13(
)
Answer:
13(4x-13)
if you distribute it then you come back with 52x-169.
Answer:
its D 4x- 13
Step-by-step explanation:
i just did the question
The two cones below are similar. What is the value of x?
A. 0.16
B. 0.32
C. 0.4
D. 0.8
Answer:
.8
Step-by-step explanation:
The ratios have to be the same for the cones to be similar
10 4
----- = ------
2 x
Using cross products
10x = 4*2
10x = 8
Divide by 10
x = 8/10
x = .8
Answer:
Step-by-step explanation:
We know that a class interval must be greater than what the I formula solution is; however... What is the solution for class interval (for the formula) for a frequency distribution if the data ranges from 100 to 220 with 50 observations?
Answer:
Therefore the answer is 20.
Step-by-step explanation:
We know that
class interval = range / number of classes
But here number of classes is not given , so we use the formula
class interval = range / ( 1+ 3.322 log N)
where , range =maximum - minimum = 220-100 = 120
N= number of observations = 50
class interval = 120 / ( 1+ 3.322 * log 50) = 18.06
Rounding up to a convinient number
Thus , class intervai = 20
Therefore the answer is 20.
A man whose salary is Ghs1624.5 per month received a Christmas bonus of 4/5 of his monthly salary in the month of December. Find his pay for that month.
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Answer:
Ghs 2924.1
Step-by-step explanation:
The man's pay including his bonus was ...
(1 +4/5)(Ghs 1624.5) = Ghs 2924.1
expand and simplify √3(√3-1)
Answer:
[tex]3 - \sqrt{3} [/tex]Step-by-step explanation:
[tex] \sqrt{3} ( \sqrt{3} - 1)[/tex]
[tex] = \sqrt{3} \times \sqrt{3} - \sqrt{3} \times 1[/tex]
[tex] = 3 - \sqrt{3} (ans)[/tex]
A cube has an edge of 8cm. Calculate its Volume.
Answer:
512cm³
Step-by-step explanation:
to get the volume the formula is Base area x height
BA X H
=8x8x8 because all sides of a cube are equal
=512cm³
Question 1 of 28
What is the length of the short leg in the 30-60-90 triangle shown below?
30
513
60
A. 525
B. 10
O c. 5
D. 515
Answer: 5
Step-by-step explanation:
Remember the relationships of the sides of a 30-60-90 triangle. The longer leg is sqrt(3) times the value of the shorter leg. By dividing 5[tex]\sqrt{3\\}[/tex] with [tex]\sqrt{3}[/tex] you get 5 as the length of the shorter leg.
Which equation is represented by the graph below? choices in picture
Answer:
y=2x+4
this the right answer
Answer:
[tex]y = -\frac{1}{2}x + 2[/tex]
Find: |-8|
о 0
О -1
0 8
О - 8
Answer:
|-8|
= |-8| = 8
|-8|. |-a = a , a> o
= 8
Which function is represented by the table of values below?
Answer:
A. y = -x + 1
Step-by-step explanation:
The function can be represented in the slope-intercept form such as y = mx + b
m = slope = change in y/change in x
b = y-intercept = the starting value or the value of y when x is 0.
✔️Find slope (m) using two pair of values from the table, say (0, 1) and (1, 0):
Slope (m) = (0 - 1)/(1 - 0) = -1/1
Slope (m) = -1
✔️ y-intercept (b) = 1 (y = 1 when x is 0)
✔️Write the equation by substituting m = -1 and b = 1 into y = mx + b:
y = -1(x) + (1)
y = -x + 1
Question 4 4 pts Lori buys a $1500 certificate of deposit (CD) that earns 6% interest that compounds monthly. How much will the CD be worth in: 5 years? 10 years? 486 months?
Answer:
Step-by-step explanation:
5 years
[tex]1500(1+\frac{.06}{12})^{12*5}=2023.275229[/tex]
10 years
[tex]1500(1+\frac{.06}{12})^{10*12}=2729.095101[/tex]
486 months:
[tex]1500(1+\frac{.06}{12})^{486}=16935.47074[/tex]
round those as you please
The slope of the line below is 2. Which of the following is the point-slope form
of the line?
Answer:
y+1 = 2(x-1)
Step-by-step explanation:
Point slope form for a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
We are given the point(1,-1)
y --1 = 2(x-1)
y+1 = 2(x-1)
PLEASE HEP ME
PLEASE HELP AND BE CORRECT BEFORE ANSWERING
9514 1404 393
Answer:
TrueTrueStep-by-step explanation:
The center of dilation (point D) is a point that doesn't move. Any line not through that point will be moved to a parallel location when a dilation factor is applied.
Any line through the center of dilation will still go through the center of dilation. Its slope does not change, so the line will appear to be the same.
AB ║ A'B' — True
AD ≅ A'D' — True
_____
You can see these relationships in the attached figure.
Bài 2: Một công ty XNK Việt Nam nhận được tiền bán hàng từ hơp đồng XK là 35.000.000 JPY, đồng thời phải thanh toán tiền mua nguyên vật liệu NK là 3.500.000 CNY. Tại thời điểm thực hiện hợp đồng, NH niêm yết các tỷ giá giao ngay như sau: USD/JPY = 128,15/27 USD/CNY = 9,5575/91 USD/VND = 19.125/38 Hỏi tài khoản VND của công ty còn bao nhiêu tiền sau khi đã thực hiện các hơp đồng trên? Nêu ra phương án thanh toán có lợi nhất cho công ty? %3D
Answer:
Ask in English then I can help
f(x) = V2x
g(x) = V18x
Find (f .g)(x). Assume x2 0.
Answer:
fog(x) is D = 6[tex]\sqrt{x}[/tex]
Step-by-step explanation:
I. square all value, so f(x) is 2x then g(x) is 18x
II. Replace x.value in f(x) with g(x).value = 2(18x)
III. If x is 1, 2(18*1) will be 36; find root, so answer is 6
If x is 2, 2(18*2) will be 72; find root, so answer is 6[tex]\sqrt{2}[/tex]
Hope it help, sorry if I'm done it wrong, but I think it's gonna be the right answer. :)
s% of 1/r
PLEASE HELP!
Answer:
s/(100r)
Step-by-step explanation:
The % symbol is a shorthand way of writing /100, so ...
s% of 1/r = (s/100) × (1/r) = s/(100r)
Answer:
Solution given:
S% of 1/r=S/100*1/r=S/(100r) is a required answer.
Step-by-step explanation:
% means divide by 100.
Any help here please
Answer:
A
Step-by-step explanation:
JUst answered same question
the figure below to answer the questions that follow 6cm LO 3.3.1 Calculate the angle, 60, in radians. (2) 3.3.2 Calculate the area of the minor sector (the "slice that has been cut out). (3) 3.3.3 Calculate the area of the major sector (4) 3.3.4 Calculate the arc length of the minor sector (3) 3.3.5 Calculate the arc length of the major sector. (3) [30]
Answer:
it's very hard
im sorry dunno
A game is played using one die. If the dio is rolled and shows 5, the player wins $35. If the die shows any number other than 5, the player wins nothing
a. If there is a charge of $7 to play the game, what is the game's expected value
Answer:
Let random variable "x" be a count of player gain.
X-values are: 4, -1
P(x=4) = 1/6; P(x= -1) = 5/6
---------------------------------
E(x) = (1/6)(4) + (5/6)(-1)
E(x) = [4-5]/6
E(x) = -1/6 = -17 cents
=============================
Cheers,
Stan H.
The composition of a US dollar bill is 3/4 cotton and 1/4 linen. What percent of a dollar bill is cotton?
Answer:
75% cotton
Step-by-step explanation:
3/4=75%
1/4=25%
total 100%
Determine the x- and y- intercepts for the graph defined by the given equation. y = 7x + 3 a. x-intercept is ( 3, 0) y-intercept is (0, negative StartFraction 3 Over 7 EndFraction) c. x-intercept is (0, negative StartFraction 3 Over 7 EndFraction) y-intercept is ( 3, 0) b. x-intercept is (negative StartFraction 3 Over 7 EndFraction, 0) y-intercept is (0, 3) d. x-intercept is (3, 0) y-intercept is (negative StartFraction 3 Over 7 EndFraction, 0)
Answer:
x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)
Step-by-step explanation:
Given the function y = 7x + 3
The x-intercept occurs at y = 0. Substituting y = 0 into the expression, we will have:
0 = 7x + 3
7x + 3 = 0
7x = -3
x = -3/7
Similarly, the y-intercept occurs at x = 0. Substituting x = 0 into the expression, we will have:
y = 7(0) + 3
y = 0 + 3
y = 3
Hence the x-intercept is (-3/7, 0) and the y-intercept is at (0, 3)
A random sample of 49 measurements from a population with population standard deviation σ1 = 4 had a sample mean of x1 = 11. An independent random sample of 64 measurements from a second population with population standard deviation σ2 = 5 had a sample mean of x2 = 14. Test the claim that the population means are different. Use level of significance 0.01. What distribution does the sample test statistic follow? Explain.
Answer:
Reject H0 and conclude that population means are different.
Step-by-step explanation:
H0: μ1 = μ2
H1: μ1 ≠ μ2
x1 = 11 ; σ1 = 4 ; n1 = 49
x2 = 14 ; σ2 = 5 ; n2 = 64
The test statistic :
(x1 - x2) / sqrt[(σ1²/n1 + σ2²/n2)]
Test statistic :
(11 - 14) / sqrt[(4²/49 + 5²/64)]
Test statistic :
-3 / √0.7171556
Test statistic = - 3.542
Using α = 0.01
The critical value Zα/2 ; Z0.01/2 = 2.58
Decison region :
Reject H0 : if Test statistic < Zcritical
Reject H0 : - 3.542 < - 2.58
what is the domain of f(x)=3x/x-1
A spinner is divided into 6 equal parts. These sections are labeled with a number 1, one section has a 2, one section has a 3, and one section has a 4. If the spinner is spun two times, what is the probability it will land on both 2 sides?
Answer:
[tex]\frac{1}{36} = 0.0278[/tex] = 2.78% probability it will land on both 2 sides.
Step-by-step explanation:
For each trial, there are only two possible outcomes. Either it lands on 2, or it does not. The probability of the spinner landing on two in a trial is independent of any other trial, 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.
One of the six sides is 2:
This means that [tex]p = \frac{1}{6}[/tex]
If the spinner is spun two times, what is the probability it will land on both 2 sides?
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(\frac{1}{6})^{2}.(\frac{5}{6})^{0} = \frac{1}{36} = 0.0278[/tex]
[tex]\frac{1}{36} = 0.0278[/tex] = 2.78% probability it will land on both 2 sides.
Based on the information in table 3, how many females from a randomly selected population of 100,000 females live to the age of 38?
Answer:
According to the table, 97,825 females from a randomly selected population of 100,000 females live to the age of 38.
Step-by-step explanation:
Answer:
See image
Step-by-step explanation:
Plato
Solve for x in this equation: 3/4+|5-x|=13/4
Use the Wilcoxon matched-pairs signed rank test to determine whether there is a significant difference between the related populations represented by the data below. Assume a 5% level of significance and (differences = before - after).
Before After
5.6 6.4
1.3 1.5
4.7 4.6
3.8 4.3
2.4 2.1
5.5 6.0
5.1 5.2
4.6 4.5
3.7 4.5
a. What is the value of T= 36.5 is wrong
b. What is the value of T= 8.5 is wrong
c. What is the test statistic, T= 5 is wrong
Answer:
We fail to reject the null and conclude thattherw is no difference in population means.
Step-by-step explanation:
Before After
5.6 6.4
1.3 1.5
4.7 4.6
3.8 4.3
2.4 2.1
5.5 6.0
5.1 5.2
4.6 4.5
3.7 4.5
H0 : There is no difference in population
H1 : There population are not all equal
Difference, d = (Before - After)
d = -0.8, -0.2, 0.1, -0.5, 0.3, -0.5, -0.1, 0.1, -0.8
The test statistic :
T = dbar / (Sd/√n)
dbar = Σx / n = - 2.4 / 9 = 0.2666
Standard deviation of difference Sd; [√Σ(d - dbar)² / n-1]
Sd = 0.403 (using calculator)
Hence,
T = dbar / (Sd/√n)
-0.266 / (0.403/√9)
-0.266 / 0.1343333
= - 1.980
The Pvalue ;
df = n - 1 ; 9 - 1 = 8
Pvalue(-1.980, 8) = 0.083
α = 0.05
Since Pvalue > α; We fail to reject the null and conclude thattherw is no difference in population means.
