Answer:
Solution given
:total n[U]=590
customers using coupon n[C]=177
the percentage of all customers who often use coupons=177/590×100%=30%.
If n[U]=5000
no of customer using coupon be x
we have
30% of 5000=x
x=30/100×5000
x=1500
So1500 people would you expect to use a coupon if all 5,000 people in the community visited the store.If 2 people have $720 between them and one has $106 more than the other. How much do they each have?
Answer:
$720 divided by 2 = $360
$360-106=$254
$360+106=$466
$254+$466=$720
Person 1 has $254
Person 2 has $466
A random sample of the students at two high schools were asked whether they were satisfied or unsatisfied with their school's variety of
extracurricular activities. The results are summarized in the table.
Satisfied Unsatisfied Total
37
23
60
High School A
High School B
Total
42
18
60
79
41
120
What is the approximate probability that a randomly selected student is satisfied with his or her school's variety of extracurricular activities?
O A. 0.308
OB. 0.468
O c. 0.617
OD. 0.658
O E 0.790
Answer: D. 0.658
Step-by-step explanation:
A randomly selected student would be from either of the high schools so both high schools need to be taken into account.
The probability that a randomly selected student is satisfied with his or her school's variety of extracurricular activities can be calculated as:
= Number of students from both high schools that are satisfied / Total number of students in both high schools
= 79 / 120
= 0.658
A line has a slope of 2 and passes through the point
(-4,3). What is an equation of the line?
Pect the right option from the below but
y = -21 - 5
I
y = -22 - 2
y = -2+ + 2
y = -23 + 3
y = -20 +5
Answer:
y = 2x + 11
Step-by-step explanation:
The point slope formula for a line is
y - y1 = m(x - x1)
We already have the slope, 2, and we can substitute the point (-4, 3) into (x1, y1):
y - 3 = 2(x + 4)
y - 3 = 2x + 8
y = 2x + 11
For the annual rate of change, find the corresponding growth or decay factor: +15%
For the annual rate of change, find the corresponding growth or decay factor: -30%
For the annual rate of change, find the corresponding growth or decay factor: -70%
For the annual rate of change, find the corresponding growth or decay factor: +100%
Answer:
The growth factor for the annual rate of change of 15% is 1.15.
The decay factor for the annual rate of change of -30% is 0.7.
The decay factor for the annual rate of change of -70% is 0.3.
The growth factor for the annual rate of change of 100% is 2.
Step-by-step explanation:
Growth or decay factor:
The growth factor is 1 + r, r as a decimal.
The decay factor is 1 - r, r as a decimal.
For the annual rate of change, find the corresponding growth or decay factor: +15%
r = 0.15, so 1 + 0.15 = 1.15.
The growth factor for the annual rate of change of 15% is 1.15.
For the annual rate of change, find the corresponding growth or decay factor: -30%
r = -0.3, so 1 - 0.3 = 0.7.
The decay factor for the annual rate of change of -30% is 0.7.
For the annual rate of change, find the corresponding growth or decay factor: -70%
r = -0.7, so 1 - 0.7 = 0.3.
The decay factor for the annual rate of change of -70% is 0.3.
For the annual rate of change, find the corresponding growth or decay factor: +100%
r = 1, so 1 + 1 = 2.
The growth factor for the annual rate of change of 100% is 2.
Application
Your family has a cable television package that costs $50 per month. Movies On-Demand
cost $5 each. Your family budgets $65 each month to spend on cable television costs.
Write and solve an inequality to determine the possible numbers of On-Demand movies
that your family can afford each month.
Inequality: 1
COD
>
s
>
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>
DOO
Solution:
Adam is a golfer who thinks that his drives have an average length of more than 200\text{ m}200 m200, start text, space, m, end text. He decided to test \text{H}_0: \mu=200\text{ m}H 0 :μ=200 mstart text, H, end text, start subscript, 0, end subscript, colon, mu, equals, 200, start text, space, m, end text versus \text{H}_\text{a}:\mu>200\text{ m}H a :μ>200 mstart text, H, end text, start subscript, start text, a, end text, end subscript, colon, mu, is greater than, 200, start text, space, m, end text using a sample of 494949 drives. His sample mean distance was 208\text{ m}208 m208, start text, space, m, end text and his sample standard deviation was 25\text{ m}25 m25, start text, space, m, end text. Adam wants to use these sample data to conduct a ttt test on the mean. Assume that all conditions for inference have been met.
Answer:
t=2.24 for khan
Step-by-step explanation:
The test statistic for the Adam's test is 2.24.
What is Test Statistic?Test statistic is a value calculated from a statistical test of hypothesis. It describes the closeness of the observed data with the expected distribution under the null hypothesis.
The formula to find the test statistic is,
t = (x - μ) / (s / √n)
Here x is the sample mean, μ is the population mean, s is the standard deviation and n is the sample size.
Given,
x = 208, μ = 200, s = 25 and n = 49
Substituting the values,
t = (208 - 200) / (25 / √49)
= (8 × 7) / 25
= 2.24
Hence the test statistic is 2.24.
Learn more about test Statistic here :
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Question Hannah wanted to investigate whether there was a difference in the time spent in the checkout line between two grocery stores in a large city. She went to Grocery Store J on a Monday morning and recorded the time, in minutes, it took 30 customers to go through a checkout line. Then she went to Grocery Store K on Monday afternoon and recorded the time it took 30 customers to go through a checkout line. Hannah calculated the mean number of minutes for the customers in each line. She intends to conduct a two-sample t-test for a difference in means between the two stores. Have all conditions for inference been met?
Answer:
Yes. All the conditions for inference have been met.
Step-by-step explanation:
The conditions for inference are:
a) The sample must be random. The selections of the 30 customers in each Grocery Store were not biased in any way.
b) The sampling distribution must be approximately normal.
c) The observations of the samples were independent.
d) Adequate of sample size. 30 customers represent an adequate sample
e) The variances are not known as they were disclosed in this case.
2 + 2 = ?
please help!
Answer:
4
Hope that this helps!
Find the limit of the function algebraically lim (x^2 -36 / x+6 ) x ->6
9514 1404 393
Answer:
0
Step-by-step explanation:
The function is defined everywhere except at x=-6. The limit value is the function value at that point.
f(6) = (6^2 -36)/(6 +6) = 0/12 = 0
The limit of the function is 0 as x → 6.
Answer:
A. -1/12
Step-by-step explanation:
This is the correct answer.
the ratio of length and breadth of a room is 4:3. If the room is 12 m long. Find is breadth
Answer:
Step-by-step explanation:
ratio of length to breadth=4:3
let breadth be x m
4/3=12/x(do cross multiplication)
3*12=x*4
36=4x
36/4=x
9=x
therefore breadth= 6m
Solve for x. Would like if both could be answered if not just answer one.
A carpenter bought 850 nails. Each nail
has a mass of 5.2 x 10-3 kg. What is the total
mass, in kilograms, of the nails the carpenter
bought. Express your answer as a decimal.
Answer:
4.42
Step-by-step explanation:
5.2 x 10-3 multiplied by 850. I got it right on my assignment
The mass of the 850 nails is 442 x 10⁻² kilograms.
What is multiplication?The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.
Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.
A carpenter bought 850 nails.
Each nail has a mass of 5.2 x 10-3 kg.
To find the total mass:
Use multiplication operation,
850 x 5.2 x 10⁻³
= 4420 x 10⁻³
= 442 x 10⁻²
Therefore, the mass is 442 x 10⁻² kilograms.
To learn more about the multiplication;
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Please help. Will give brainliest
Answer:
use [tex]y^{2}[/tex]~[tex]mx_{1}[/tex]+b to answer your question
Step-by-step explanation:
The equation below describes a circle. What are the coordinates of the center
of the circle?
(x+ 5)2 + (y + 7)2 = 212
Answer:Center =(-5,-7)
Step-by-step explanation:
Can y’all help me with this and if u don’t know don’t answer
Answer:
D1 to D3: SF = 3 / 2. Equation = 9 / 6 = 3 / 2
D2 to D3: SF = 2. Equation = 9 / 4.5 = 18 / 9 = 2
D3 to D1: SF = 2 / 3. Equation = 6 / 9 = 2 / 3
Step-by-step explanation:
Let me just make sure.
Ill give brainliest to first person to answer CORRECTLY! I don't have all day.
34 + 2 ⋅ 5 = ____
Answer:
180
Step-by-step explanation:
34+2=
36
36 . 5=
180
Answer:
44
Step-by-step explanation:
2x5=10
10+34=44
hope this helped :3
If the angle is 105, what is the supplementary angle? ANSWER QUICKLY PLS
An article in Biotechnology Progress (Vol. 17, 2001, pp. 366–368) reported an experiment to investigate and optimize nisin extraction in aqueous two-phase systems (ATPS). The nisin recovery was the dependent variable (y). The two regressor variables were concentration (%) of PEG 4000 (denoted as x1) and concentration (%) of Na2SO4 (denoted as x2).
x1 x2 y
13 11 62.8739
15 11 76.1328
13 13 87.4667
15 13 102.3236
14 12 76.1872
14 12 77.5287
Requried:
a. Fit a multiple linear regression model to these data.
b. Estimate and the standard errors of the regression coefficients.
c. Test for significance of β1 and β2.
Answer:
ŷ = 7.02895X1 + 12.6959X2 - 170.33728
Since the calculated F=32 falls in the critical region F ≥ 9.55 we reject our null hypothesis and conclude that there is association between at least one of the regressors and the dependent variable.
Step-by-step explanation:
Using stat calculator:
Part A:
x1 x2 y Predicted Y Residual
13 11 62.8739 60.693967 2.179933
15 11 76.1328 74.751867 1.380933
13 13 87.4667 86.085767 1.380933
15 13 102.3236 100.143667 2.179933
14 12 76.1872 80.418817 -4.231617
14 12 77.5287 80.418817 -2.890117
mean
14 12 80.418817 80.418817 0
standard deviation
0.89 0.89 13.2812 12.979739 2.813451
Calculation
Sum of X1 = 84
Sum of X2 = 72
Sum of Y = 482.5129
Mean X1 = 14
Mean X2 = 12
Mean Y = 80.4188
Sum of squares (SSX1) = 4
Sum of squares (SSX2) = 4
Sum of products (SPX1Y) = 28.1158
Sum of products (SPX2Y) = 50.7836
Sum of products (SPX1X2) = 0
Regression Equation = ŷ = b1X1 + b2X2 + a
b1 = ((SPx1y)*(SSx2)-(SPx1x2)*(SPx2y)) / ((SSx1)*(SSx2)-(SPx1x2)*(SPx1x2)) = 112.46/16 = 7.02895
b2 = ((SPx2y)*(SSx1)-(SPx1x2)*(SPx1y)) / ((SSx1)*(SSx2)-(SPx1x2)*(SPx1x2)) = 203.13/16 = 12.6959
a = MY - b1MX1 - b2MX2 = 80.42 - (7.03*14) - (12.7*12) = -170.33728
ŷ = 7.02895X1 + 12.6959X2 - 170.33728
X1-Mx1 X2-Mx2 Y-My (X1-Mx1)² (X2-Mx2)²
-1 -1 -17.545 1 1
1 -1 -4.286 1 1
-1 1 7.048 1 1
1 1 21.905 1 1
0 0 -4.232 0 0
0 0 -2.89 0 0
SSX1: 4 SSX2: 4
SPx1y SPx2y SPx1x2
17.545 17.545 1
-4.286 4.286 -1
-7.048 7.048 - 1
21.905 21.905 1
0 0 0
0 0 0
SPX1Y: SPX2Y: SPX1X2: =0
= 28.116 =50.784
Part B
Coefficient Table
Coefficient SE t- stat
x1 -170.337283 33.519576 -5.081725
x2 7.028950 1.816075 3.870408
b 12.695900 1.816075 6.990847
Part C:
Test for significance of β1 and β2.
State the null and alternate hypotheses as
H0: β1=β2=0
Ha: At least one of the β1 and β2 is non zero.
The significance level is set at ∝= 0.05
The test statistic to use is
F= MSR/ MSE= MS regression/ MS Residual
which if H0 is true has F distribution with υ1= 2 and υ2= n- 3= 6-3= 3 degrees of freedom.
To set up the ANOVA table we find the necessary sum of squares .
Regression SS ( between y^ and y`) = SSR= 842.368060
Residual SS ( between yi and y^) = SSE= 39.577526
Total SS = SSR+ SSE= 842.368060+39.577526= 881.945586
ANOVA table
Source DF Sum of Square Mean Square F Statistic
Regression
(b/w ŷi and yi) 2 842.368060 421.184030 31.926000
Residual
(b/w yi and ŷi) 3 39.577526 13.192509
Total (b/w yi and yi)5 881.945586 176.389117
The critical region is F≥F (0.05) (2,3)=9.55
Conclusion:
Since the calculated F=32 falls in the critical region F ≥ 9.55 we reject our null hypothesis and conclude that there is association between at least one of the regressors and the dependent variable.
I need the answer fast Pls HELP choose one then more chosises so you need to choose more chosies
Answer:
c
Step-by-step explanation:
there
I need help solving the picture below please
Answer:
x = 3
Step-by-step explanation:
From the given parallelogram;
m<XWC = m<XYC
Given
m<XWC = 2x+5
m<XYC = 3x+2
Equate
2x+5 = 3x+2
2x - 3x = 2 - 5
-x = -3
x = 3
Hence the value of x is 3
The length of a rectangle is 2 yards longer than its width. If the perimeter of the rectangle is 64 yards, find its length and width.
Answer:
Length: 17 yards
Width: 15 yards
Step-by-step explanation:
If the length is 2 yards longer than the width, then the width is w, and the length is w+2
Equation for perimeter is [tex]P =2l+2w[/tex], where:
P = Perimeter
l = length
w = width
Plug in the values:
64 = 2(w+2) + 2w
Distribute:
64 = 2w + 4 + 2w
Combine like terms:
64 = 4w + 4
Subtract 4 from both sides:
60 = 4w
Divide 4 from both sides:
15 = w
So if w = 15, then
Width = w, which is 15 yards.
Length = w+2, which is 15+2 = 17 yards.
Hope this answer helped! :)
5. ¿Cuál es el resultado de simplificar a su minima expresión el siguiente
polinomio?:
2
3 3*
xy2 + 2x + 3xy2 + {x?y=5x
Answer:
El polinomio final es:
[tex]=x(\frac{1}{3}y^{2}-3+\frac{2}{3}xy)[/tex]
Step-by-step explanation:
Agrupemos los términos con las mismas variables:
[tex](\frac{2}{3}xy^{2}-\frac{1}{3}xy^{2})+(2x-5x)+\frac{2}{3}x^{2}y=[/tex]
Sumemos estos terminos:
[tex]=\frac{1}{3}xy^{2}-3x+\frac{2}{3}x^{2}y=[/tex]
Podemos ver que los tres terminos tienen x, asi que podemos factorizar x.
Por lo tanto el polinomio final es:
[tex]=x(\frac{1}{3}y^{2}-3+\frac{2}{3}xy)[/tex]
Espero te haya servido.
El resultado de simplificar [tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex] es
[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]
El polinomio que queremos simplificar es
[tex]\frac{2}{3}xy^2+2x-\frac{1}{3}xy^2+\frac{2}{3}x^2y-5x[/tex]
primero, recopilamos términos similares
[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x[/tex]
luego simplificamos los términos similares. Es decir
Para el [tex]xy^2[/tex] términos:
[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2=(\frac{2}{3}-\frac{1}{3})xy^2\\\\=(\frac{1}{3})xy^2=\frac{1}{3}xy^2[/tex]
y para el [tex]x[/tex] términos:
[tex]2x-5x=(2-5)x\\=(-3)x=-3x[/tex]
la [tex]x^2y[/tex] términos ya está simplificado. Así que déjalo así.
Este es el trabajo total:
[tex]\frac{2}{3}xy^2-\frac{1}{3}xy^2+\frac{2}{3}x^2y+2x-5x\\\\=(\frac{2}{3}-\frac{1}{3})xy^2+\frac{2}{3}x^2y+(2-5)x\\\\=(\frac{1}{3})xy^2+\frac{2}{3}x^2y+(-3)x\\\\=\frac{1}{3}xy^2+\frac{2}{3}x^2y-3x[/tex]
Incluso podemos factorizar la respuesta final para obtener
[tex](\frac{1}{3}y^2+\frac{2}{3}xy-3)x[/tex]
Obtenga más información sobre la simplificación aquí: https://brainly.com/question/25014973
PLEASE HELP ASAP ASAP URGENT WILL GIVE BRAINLIEST
Answer:
for the solve and check:
[tex]2\frac{3}{8}+x=3\frac{1}{4} \\2\frac{3}{8}-2\frac{3}{8}+x=3\frac{1}{4}-2\frac{3}{8}\\\\x=3\frac{1}{4}-2\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]
----------------------------------------------------
[tex]3\frac{3}{8}+x=4\frac{1}{4} \\3\frac{3}{8}-3\frac{3}{8}+x=4\frac{1}{4}-3\frac{3}{8}\\\\x=4\frac{1}{4}-3\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]
for the second solve and check:
[tex]4\frac{3}{8}+x=5\frac{1}{4} \\4\frac{3}{8}-4\frac{3}{8}+x=5\frac{1}{4}-4\frac{3}{8}\\\\x=5\frac{1}{4}-4\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]
----------------------------------------------------
[tex]5\frac{3}{8}+x=6\frac{1}{4} \\5\frac{3}{8}-5\frac{3}{8}+x=6\frac{1}{4}-5\frac{3}{8}\\\\x=6\frac{1}{4}-5\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]
Answer:
Step-by-step explanation:
Green picture
x = 2.25 ft = 2 1/4 ft
we substitute 2 1/4 for x
x = 2 1/4 ft
3 3/4 ft + 2 1/4 ft = 6 ft
6 ft = 6 ft
Since 6ft is equal to 6ft...
Blue picture
It is 2 1/4 ft long
we substitute 7/8 ft for x
since 2 1/4 ft is equal ...
Yellow picture
2 3/8 ft - 2 3/8 ft + x = 3 1/4 ft - 2 3/8 ft
x = 3 1/4 ft - 2 3/8 ft
x = 7/8 ft
Check
x = 7/8 ft
2 3/8 ft + 7/8 ft = 3 1/4 ft
3 3/8 ft - 3 3/8 ft + x = 4 1/4 ft - 3 3/8 ft
x= 4 1/4 ft - 3 3/8 ft
x = 7/8 ft
check
x = 7/8 ft
3 3/8 ft + 7/8 ft = 4 1/4 ft
red picture
4 3/8 ft - 4 3/8 ft + x = 5 1/4 ft - 4 3/8 ft
x = 5 1/4 ft - 4 3/8 ft
x = 7/8 ft
check
x = 7/8 ft
4 3/8 ft + 7/8 ft = 5 1/4 ft
How many additional books does Tony get each month?
Answer:
3 books
Step-by-step explanation:
Answer:
3 books
Step-by-step explanation:
On the first 1st month Tony gets 11 book but on the second month Tony gets 14
14 books - 11 books = 3 books
There is a pattern of 3 new books each month.
(1 month = 3 new books)
Tony gets 3 additional books every/each month.
Plsss help. giving extra points if correct.
Answer:
98?
Step-by-step explanation:
Can’t really put it in typeing form so just look at the picture ö
Answer:
5 cups is greater then 32 fl oz
Step-by-step explanation:
First, we change fl oz to cups, for it is easier to do.
Next, when we change 32 fl oz, it is going to be
32 fl oz=4 cups
Last, it is obvious that 5 cups is greater than 32 fl oz.
32 fl oz< 5 cups
This is correct!
Please mark me brainliest and have a nice day! :)
Please look at the image
Answer:
value for X
3x-4 =41
3x =41+4
3x =45
x =15
Find the area of each figure. Round to nearest tenths
Pls help :( (ik i keep asking questions lol)
Answer:
3.5 fluid ounces
Step-by-step explanation:
1/3 * π * r^2 * h
substitute
V = 1/3 * 3.14 * 1.35^2 * 3.3 = 6.3 cubic inch
1 fluid ounce = 1.8 cubic inch
x fluid ounce = 6.3 cubic inch
x = 6.3/1.8
x = 3.5 fluid ounces
Answer:
Step-by-step explanation:
The volume of a circular cone is 1/3*pi*r^2*h
So,
1/3*3.14*1.35^2*3.3=6.3in^3
6.3in^3 * 1floz/1.8in^3= 3.5fl oz
Three lines intersect at point P, as shown in the diagram below.
Find the measure of angle VPQ.
Answer:
angle VPQ = 83°
I hope this may be helpful