Answer:
Solution given:
principal [P]=P
time [T]=4 years
Rate [R]=13%
compound amount=18900
Simple interest=P-18900
we have
simple interest=[tex] \frac{P*T*R}{100} [/tex]
P-18900=[tex] \frac{P*4*13}{100} [/tex]
100P-1890000=52P
48P=1890000
P=1890000/48
P=39375
the sum that amounts =Rs 39375
What is the solution set to the equation 15-4x=x^2-6x?
Answer:
x = 5 and x = -3
Step-by-step explanation:
15 - 4x = x² - 6x
15 = x² - 2x
0 = x² - 2x - 15
Now if solved using quadratic formula the answer would be:
x = 5 and x = -3
Hope this helps!
This is graphing radical equations does anyone know the equation?
Answer:
[tex]f(x)=\sqrt{x}+5[/tex]
Step-by-step explanation:
The parent function of the graph is clearly [tex]f(x)=\sqrt{x}[/tex]. However, at [tex]x=0[/tex], y is equal to 5. Therefore, the function translated up 5 units. Thus, the equation of the function is [tex]f(x)=\sqrt{x}+5[/tex].
Answer:
f(x) = 5 + √x
Step-by-step explanation:
x= 0 ==> y = 5
x= 25 ==> y = 10
this is sq root function, starting from y=5
so, f(x) = 5 + √x
Spain settled Texas because of threats from
a. France.
b. hostile Indians.
C. England .
d. the United States.
Answer:
The answer is A, France
Answer:
Spain settled taxes because of threats from France
Help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
CAN SOMEONE HELP ME!
Answer:
26
Step-by-step explanation:
5 × 4 = 20 (rectangle)
8-5 = 3 (triangle)
3×4÷2 = 6
20+6 = 26
The Consumer Reports National Research Center conducted a telephone survey of 2,000 adults to learn about the major economic concerns for the future. The survey results showed that 1,740 of the respondents think the future health of Social Security is a major economic concern.
Required:
a. What is the point estimate of the population proportion of adults who think the future health of Social Security is a major economic concern.
b. At 90% confidence, what is the margin of error?
c. Develop a 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern.
d. Develop a 95% confidence interval for this population proportion.
Answer:
a. 0.87
b. The margin of error is of 0.0124.
c. The 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern is (0.8576, 0.8824).
d. The 95% confidence interval for this population proportion is (0.8553, 0.8847).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The confidence interval is:
[tex]\pi \pm M[/tex]
a. What is the point estimate of the population proportion of adults who think the future health of Social Security is a major economic concern.
The sample proportion, that is, 1740 out of n = 2000. So
[tex]\pi = \frac{1740}{2000} = 0.87[/tex]
0.87 is the point estimate.
b. At 90% confidence, what is the margin of error?
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Then the margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.645\sqrt{\frac{0.87*0.13}{2000}}[/tex]
[tex]M = 0.0124[/tex]
The margin of error is of 0.0124.
c. Develop a 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern
[tex]\pi - M = 0.87 - 0.0124 = 0.8576[/tex]
[tex]\pi + M = 0.87 + 0.0124 = 0.8824[/tex]
The 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern is (0.8576, 0.8824).
d.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Then the margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.87*0.13}{2000}}[/tex]
[tex]M = 0.0147[/tex]
The confidence interval will be of:
[tex]\pi - M = 0.87 - 0.0147 = 0.8553[/tex]
[tex]\pi + M = 0.87 + 0.0147 = 0.8847[/tex]
The 95% confidence interval for this population proportion is (0.8553, 0.8847).
What is the equation for the product of a number g and 5 is 30?
Answer:
6?
Step-by-step explanation:
Please don’t troll include work
A pair of shoes cost $57.00 and the sales tax is 7%?
What is amount of the sales tax? Be exact, it's money.
Answer:
3.88
Step-by-step explanation:
$57 multiplied by 7%
please help!!!!
ignore the writing -_-
Answer:
Haha once again 1200 and 8.5 are the answers
can someone do this for me thanks ok bye
Answer:
log2 10 = 3x
Step-by-step explanation:
Basic Logarithm Tenets
Answer:
log2 10=3x
Step-by-step explanation:
is the amswer
The perimeter of this shape is 120 π mm
What is the radius of the smaller semicircles?
Answer:
15mm
Step-by-step explanation
It says the perimeter is 120 pi, if pi is separate from 120, that would make 120 our radius 60. with 4 semicircles, divide 60 by 4 and boom, 15.
I think that's right, I was never good at geometry
What type of quadrilateral is DEFG? Select all that apply.
ty
F
E
6
2
G
2
D
o
2
A rhombus
B. parallelogram
C! square
DE
D trapezoid
Answer:
B. parallelogram
Step-by-step explanation:
Given
See attachment for quadrilateral
Required
Select the type of quadrilateral
From the attached image, we have:
[tex]DE = FG[/tex] -- Opposite, Parallel and Equal
[tex]EF = GD[/tex] -- Opposite, Parallel and Equal
Since all 4 sides are not equal, then it is neither a square; nor a rhombus
Hence, the shape is a parallelogram
What is the answer to that
Answer:
can you show me the picture? I will edit my answer if you show me full picture
Step-by-step explanation:
What are the zeros of the function defined by 2x^2-50
Answer:
[tex]2x^2 - 50 = 0 \\\\2(x^2 - 25) = 0\\\\(x^2 -5^2 ) = 0\\\\(x-5)(x+5) = 0\\\\x = 5, -5[/tex]
Simplify.
Help me please
Answer:
answer is 3^2
hopefully this helps someway
6 Gallons and 3 quarts = ________ quarts?
Answer: is 27 quarts
Step-by-step explanation:
Answer: 27 quarts
Step-by-step explanation:
6 gallons is 24 quarts. Add the 3 to get 27. Formula: Gx4= Q
6x4=24 Plus the 3 extra= 27 quarts Hope this Helps uwu
derive Euler's formula e^(ix) - cos(x) + i*sin(x) by using taylor series expansion
Answer:
the answer is probably 5
The area of a rectangle is 99 square meters. The length is 11 meters. Find the width.
Answer:
9 meters
Step-by-step explanation:
To find the area of a rectangle you do length times width. To find a side length, or the width divide the area by the length. 99/11=9.
The width is 9 meters.
what is the area of this figure
Answer:
Hello! answer: 10
Step-by-step explanation:
Formula for area of squares: base × height
Formula for area of triangles: base × height ÷ 2
2 × 2 = 4
2 × 2 ÷ 2 = 2
4 × 2 ÷ 2 = 4
4 + 2 + 4 = 10 therefore the area is 10 hope that helps!
what is the longest line segment that can be drawn in a right rectangular prism that is 14 cm long 11 cm wide and 7 cm tall
The longest segment is —
pleaseeee
Answer:
The longest segment is approximately 19.13cm
Step-by-step explanation:
Given
[tex]l = 14cm[/tex]
[tex]w = 11cm[/tex]
[tex]h = 7cm[/tex]
Required
The length of the longest segment (d)
This is calculated using:
[tex]d = \sqrt{l^2 +w^2 + h^2[/tex]
So, we have:
[tex]d = \sqrt{14^2 +11^2 +7^2[/tex]
Using a calculator, the equation becomes
[tex]d = \sqrt{366[/tex]
Take square roots
[tex]d = 19.13cm[/tex]
what is it called when the vertex is the lowest value of the parabola
Answer:
a Minimum
Step-by-step explanation:
Can you help me with this?
Answer:
B =30 yd²
Step-by-step explanation:
total area
= area of rectangle + area of triangle
=(6*4)+(1/2 * 3 * 4)
=30
Answer:
30
Step-by-step explanation:
The area formula for trapezoid- A=1/2*h*(b1+b2)
So- 1/2*4*(6+9)
What is the area of the parallelogram?
20 cm 2
40 cm 2
20 cm 2
40 cm 2
Please help due in 10 min!!! Solve for X
Answer:
x == 9
Step-by-step explanation:
Angle at the vertex is half the difference of those at the intercepted arcs;
35 = 1/2(120-15x+5)
35 * 2 = 120-15x-5
70 = 115 - 5x
70 - 115 = -5x
-45 = -5x
x = 45/5
x = 9
Hence the value of x is 9
A spinner has 4 blue sections, 6 red sections and 2 green sections. It is spun 24 times. For numbers 2a. – 2c., circle YES or NO to indicate whether you would expect the spinner to land on the given color the number of times stated.
Answer:
Blue = YES
Red = NO
Green = YES
Step-by-step explanation:
Given the distribution of colors on a spinner :
Blue = 4 ; Red = 6 ; Green = 2
Number of spins = 24
Total = (4 + 6 + 2) = 12
Recall:
Probability, P = required outcome / Total possible outcomes
P(red) = 6 /12 = 1/2
P(blue) = 4 / 12 = 1/3
P(green) = 2 / 12 = 1/6
On 24 spins :
Possible number of red = 1/2 * 24 = 12
Possible number of green = 1/6 * 24 = 4
Possible number of blue = 1/3 * 24 = 8
8.36 Football and Brain Size: Randomization Test Exercise 8.35 describes a study examining hippocampus volume in the brain between controls who have never played football, football players with no history of concussion, and football players with a history of concussion. The data are available in FootballBrain. Use StatKey or other technology to conduct an ANOVA randomization test to determine whether there is a significant difference in mean hippocampus volume between the three categories. What is the F-statistic for the observed data
Answer:
Since the calculated F= 2.8657 does not lie in the critical region F (2,2)≥ 19 we conclude that there no difference between the means.
Since the calculated F= 205.0819 lies in the critical region F(1,2) ≥ 18.51 we conclude that there is a difference between the standard deviations of the three groups.
The F- statistic for the observed data is 0.101 as calculated by F- test in excel.
Step-by-step explanation:
To conduct an ANOVA randomization test we perform anova without replication in excel.
The data for the test is
Mean Standard Deviation Sample Size
Never
Played Football 7602.5 1074 25
FB with no History 6459.2 779.9 25
FB with Concussion 5734.6 593.4 25
Total 6598.8 1133.5 75
Anova: Two-Factor Without Replication
SUMMARY Count Sum Average Variance
Row 1 2 8676.5 4338.25 21310656.13
Row 2 2 7239.1 3619.55 16127224.25
Row 3 2 6328 3164 13215968.72
Column 1 3 19796.3 6598.766667 886871.7433
Column 2 3 2447.3 815.7666667 58708.90333
ANOVA Table
Source Sum of Degrees Mean
of Variation Square of freedom Squares
SS df MS F P-value
B/w Rows 1401945.703 2 700972.8517 2.8657 0.259
B/w Col 50164633.5 1 50164633.5 205.0819 0.00484
Error 489215.59 2 244607.795
Total 52055794.79 5
Set up the null and alternate hypotheses :
H0 ; there's no difference between the means and
there's no difference between the standard deviations
against the claim
Ha: there's a difference between the means and
there's a difference between the standard deviations
The significance level is chosen at 0.05
The test statistics to use are
F1= estimated variance from Between Means/ estimated variance from Error SS
F1= s1²/s3²
F1= estimated variance from Between Standard Deviations / estimated variance from Error SS
F2- s2²/s3²
with υ1= (2,2) and υ2(1,2) degrees of freedom.
The critical regions for F (2,2)≥ 19 for 0.05 significance level
and F(1,2) ≥ 18.51 for 0.05 significance level
Since the calculated F= 2.8657 does not lie in the critical region F (2,2)≥ 19 we conclude that there no difference between the means.
Since the calculated F= 205.0819 lies in the critical region F(1,2) ≥ 18.51 we conclude that there is a difference between the standard deviations of the three groups.
The F- statistic for the observed data is 0.101 as calculated by F- test in excel.
19
The two figures are proportional. Find the value of x.
36 in.
12 in.
<
10 in.
Х
A
12 in
B) 24 in
30 in
40 in
Answer:
C 30 in
Step-by-step explanation:
set a proportion: 36/12 = x/10 => x = 36 × 10 ÷ 12 = 30
Given f (x) = StartLayout Enlarged left-brace first row x squared minus one-third x, for x not-equals negative 1 second row negative 1, for x = negative 1 EndLayout. What is Limit of f (x) as x approaches negative 1?
Negative five-thirds
Negative four-thirds
Four-thirds
Five-thirds
Answer:
Four-thirds
Step-by-step explanation:
If you graph the first equation on desmos, then graph the equation x = -1, the intersection is at 1.333333, making the answer 4/3.
The Limit of f (x) as x approaches negative 1 is 4/3, the correct option is C.
What is a Function?A function is a law that relates a dependent and an independent variable.
f(x) = x² - (1/3)x x ≠ -1
= -1 x = -1
[tex]\lim_{x \to \ -1} f(x)[/tex] = (-1)² - (1/3)(-1)
f(x) = 1 + (1/3)
f(x) = 4/3
To know more about Function
https://brainly.com/question/12431044
#SPJ5
The diameter of a circle is 4cm. Which equation can be used to find its circumference? A. C=pi x2 B. C=pi x 4 C. C=pi x 4/2 D. C= pi x 4/4
Answer:
d is correct
Step-by-step explanation: