Answer:
Chris=24
Jane=32
Shen=96
Step-by-step explanation:
Chris= x
Jane = x + 8
Shen = 4x
6x+8= 152
152-8=144
6x=144
144/6=24
x=24
Solve for x: 12x+5=3x+35
Answer:
The answer would be 3.33.
Step-by-step explanation:
Simplifying 12x + 5 = 3x + 35
Reorder the terms: 5 + 12x = 3x + 35
Reorder the terms: 5 + 12x = 35 + 3x
Solving 5 + 12x = 35 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation. 5 + 12x + -3x = 35 + 3x + -3x
Combine like terms: 12x + -3x = 9x 5 + 9x = 35 + 3x + -3x
Combine like terms: 3x + -3x = 0 5 + 9x = 35 + 0 5 + 9x = 35
Add '-5' to each side of the equation. 5 + -5 + 9x = 35 + -5
Combine like terms: 5 + -5 = 0 0 + 9x = 35 + -5 9x = 35 + -5
Combine like terms: 35 + -5 = 30 9x = 30
Divide each side by '9'. x = 3.333333333
Simplifying x = 3.333333333
A random sample of 10 college students was drawn from a large university. Their ages are 22, 17, 27, 20, 23, 19, 24, 18, 19, and 24 years, with a sample standard deviation of 3.2. Suppose that you want to test whether the population mean age differs from 20. What is your decision based on a test at a 1% significance level
Solution :
Given :
The sample mean = 21.3
Standard deviation = 3.2
The null hypothesis is : [tex]H_0: \mu =20[/tex]
The alternate hypothesis : [tex]H_a:\mu \neq20[/tex]
This is a two tailed test, for which a [tex]\text{t-test for one mean}[/tex] with an unknown population of a standard deviation is being used.
Now the significance level, [tex]\alpha = 0.1[/tex], as well as the critical value for a two tailed test is [tex]t_c = 1.833[/tex]
The rejection region is [tex]R = \{ t:|t| > 1.833 \}[/tex]
The t-statistic is computed as follows :
[tex]t=\frac{\overline x - \mu_0}{s/ \sqrt n}[/tex]
[tex]t=\frac{21.3-20}{3.2/ \sqrt{10}}[/tex]
= 1.285
Since it is observed that [tex]|t| = 1.285 \leq t_c=1.833[/tex], it is then concluded that [tex]\text{the null hypothesis is not rejected.}[/tex]
The p-value is p=0.231 and since p 0.231 ≥ 0.1, it is concluded that [tex]\text{the null hypothesis is not rejected.}[/tex]
Conclusion
Thus we concluded that [tex]\text{null hypothesis}[/tex] [tex]H_0[/tex] is not rejected. Therefore, the population mean [tex]\mu[/tex] is different than 20, at the 0.1 significance level.
Question 1
Consider the ratio of 153 per 108. Write this ratio in different forms below.
A ratio written as a reduced fraction 17/12
A ratio written as a decimal rounded to the hundredths II
0
(14)
Answer:
Collage = Bad lol
Step-by-step explanation:
I WILL MARK BRAINLIEST
Part A: What is the area of the parallelogram? Show your work. (5 points) Part B: How can you decompose this parallelogram into two triangles? If this parallelogram what decomposed into two triangles, what would be the area of each triangle?
Answer:
Part A=2cm²
Part B =The area of each triangle will be 1cm²
Explanation:
Part A
Area of parallelogram similar to that of rectangle =length x width
Area of the parallelogram= 3 x 2/3
= 2cm²
Part B
If you draw a line from A to C or B to D the form 2 triangles
Area of a triangle =1/2 x base x Height
=1/2 x 3 x 2/3
= 6/6
= 1cm²
Therefore both triangles are 1cm²
Sorry for not explaining at first I submitted the answer by accident
Write an equivalent expression for: 5(5x - 9) *
Answer:
25x - 45
Step-by-step explanation:
5(5x - 9)
Distribute
5*5x - 5* (9)
25x - 45
Answer:
➛ 25 x - 45
Step-by-step explanation:
➛ 5 ( 5 x - 9 )
Using distributive property multiply both by 5
➛ 5 × 5 x - 5 × -9
➛ 25 x - 45
A large university chemistry course has a required textbook available for $ 154 and a recommended supplement for $ 36. The university bookstore finds, over time, that 15% of students enrolled in the course purchase only the textbook, while 75% buy both the textbook and the supplement. No students buy only the supplement. a) What percent of students buy neither the textbook nor the supplement from the bookstore
Answer:
10% of students buy neither the textbook nor the supplement from the bookstore
Step-by-step explanation:
We have that:
15% buy only the textbook.
75% buy both the textbook and the supplement.
None buy only the supplement.
a) What percent of students buy neither the textbook nor the supplement from the bookstore
15% + 75% = 90% buy at least one of them. So
100% - 90% = 10% buy neither.
i need help with this asap
Answer:
Step-by-step explanation:
Really struggling with this, can someone please help me out and give me a brief explanation?
Answer:
the answer is 220
Step-by-step explanation:
the formula for surface area of a rectangular prism is A=2(wl+hl+hw)
w = width
h= height
l = length
and when you have those lengths, you have to substitute.
The value of x for which the expressions 5(3x-4) equal to 2(2x+1)
Answer:
the value of x is 2.
Step-by-step explanation:
5(3x - 4) = 2(2x + 1)
15x - 20 = 4x + 2
15x - 4x = 2 + 20
11x = 22
x = 22/11
x = 2
If x = 10, which lines are parallel? Check all that apply.
pls someone help me who ever answers with a good explanation how to solve it, gets brainliest
Answer:
BCDE
Step-by-step explanation:
You can see it in the image. Parallel = if the line keeps going and will never touch each other.
For the equation, complete the solution. 8x + y = −7
(x, y) = , 1
Answer:
(x, y) = (-1, 1)
Step-by-step explanation:
8x + y = −7
for y = 1
8x + 1 = -7
subtract 1 from boh sides
8x = -8
divide bot sides by 8
x = -1
(x, y) = (-1, 1)
the algebraic form of the sum of n terms of an arithmetic sequence is 3n2 + 5 n .what is the common difference ?
Answer:
[tex]d = 6[/tex]
Step-by-step explanation:
Given
[tex]S_n = 3n^2 + 5n[/tex]
Required
Find d
First, find the sum of the first 1 term
[tex]S_1 = 3 * 1^2 + 5 * 1[/tex]
[tex]S_1 = 8[/tex]
The sum of the first 2 terms
[tex]S_2 = 3 * 2^2 + 5 * 2[/tex]
[tex]S_2 = 22[/tex]
Calculate the first term (a)
[tex]a = S_1[/tex]
[tex]a = 8[/tex]
Calculate the second term (T2)
[tex]T_2 = S_2 - S_1[/tex]
[tex]T_2 = 22 - 8[/tex]
[tex]T_2 = 14[/tex]
The common difference is:
[tex]d = T_2 - a[/tex]
[tex]d = 14 - 8[/tex]
[tex]d = 6[/tex]
Which of the coordinate pairs below are separated by a horizontal distance of greater than 11 units? Select all that apply.
A) (-6.4, 5.1) and (5.5, 5.1)
B) (4.7, -5.5) and (-3.3, -5.5)
C) (11/3, 4) and (−10/3, 4)
D) (-12, 5) and (2, 5)
9514 1404 393
Answer:
A, D
Step-by-step explanation:
The horizontal distance between the points is the difference of their x-coordinates.
A) 5.5 -(-6.5) = 12.0 . . . greater than 11
B) 4.7 -(-3.3) = 8.0
C) 11/3 -(-10/3) = 21/3 = 7
D) 2 -(-12) = 14 . . . greater than 11
What is the distance between the two points? (-18, -6) & (-18,-1)
A. 4
B. 5
C.6
D. 7
Answer:
5
Step-by-step explanation:
D² = ( x2 - x1 )² + ( y2 - y1 )²
= [ (-18) - (-18) ]² + [ (-1) - (-6) ]²
= ( -1 + 6 )²
D² = ( 5 )²
hence, D = 5
Answer: B) 5
Step-by-step explanation:
Let's start by finding the distance from one x coordinate to the other. Remember subtracting by a negative is the same as adding a positive
-18-(-18)
-18+18
0
There is no distance away from the x value so the distance we need to count is from the y value
-1-(-6)
-1+6
5
The distance between the two points is 5.
I need this by to night somebody help pls
Answer:
0° < x < 83.76°
Step-by-step explanation:
Assuming a pyramid with a square base, and the height of the pyramid varies from almost zero to almost infinity.
The largest value for the angle x+2 is when the height of the pyramid is almost zero.
Then the face is an isosceles triangle with base 13 and height 14.
The angle opposite the base is then
x+2 = 2*atan(6.5/7) = 2* 42.879 = 85.76°
when the height is almost infinite, the angle is almost zero.
Therefore the range of the value of x
0° < x < 83.76°
If f(t) = 3t4 + 5t+8, what is the value of f(-2)?
Answer:
3t4 plus 5t equal value of minus two equal is minus eight
write the ratio 14:56 in the simplets form
Answer:
the correct answer is 1:4
Step-by-step explanation:
hope this helps!
A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
Answer:
504/8=63/6=10.5
10 rooms per floor with 3 leftover
Social scientists discovered that 1,013 General Social Survey (GSS) respondents in 2010 watched television for an average of 3.01 hours per day, with a standard deviation of 2.65 hours per day. Answer the following questions, assuming the distribution of the number of television hours is normal.
Required:
a. What is the Z score for a person who watches more than 8 hr/day?
b. What proportion of people watch television less than 5 hr/day? How many does this correspond to in the sample?
c. What number of television hours per day corresponds to a Z score of +1?
d. What is the percentage of people who watch between 1 and 6 hr television per day?
Answer:
Following are the responses to the given question:
Step-by-step explanation:
[tex]Sample \ size = n = 1013\\\\\mu = 3.01\\\\\sigma = 2.65[/tex]
For point a:
Using formula:
[tex]Z = \frac{(X - \mu)}{\sigma}\\\\X = 8\\\\Z = \frac{(8- 3.01)}{2.65} = 1.88\\\\[/tex]
For point b:
[tex]P(X<5)=?\\\\ x = 5\\\\ Z = \frac{(X - \mu)}{\sigma} = \frac{(5 -3.01)}{2.65} = 0.7509434\\\\P(Z< 0.7509434) = 0.7736566\\\\P(X<5) = P(Z< 0.7509434) = 0.7736566[/tex]
For point c:
[tex]X=? \\\\Z = 1\\\\\text{Formula for X score:}\\\\X = \mu + Z \times \alpha\\\\X = 3.01 + 1\times 2.65 = 3.01 + 2.65 = 5.66[/tex]
For point d:
[tex]P(1 \leq X \leq 6)=? \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X< 6) - P(X<1)\\\\\text{Z score for x} = 6\\\\Z = \frac{(6 - 3.01)}{2.65} = 1.128301887 \\\\P(Z< 1.128301887) = 0.870403777 \\\\P(X<6) = P(Z< 1.128301887) = 0.870403777 \\\\\text{Z score for x} = 1 \\\\[/tex]
[tex]Z = \frac{(1 -3.01)}{2.65} = -0.758490566\\\\P(Z< -0.758490566) = 0.224078679\\\\P(X<1) = P(Z< -0.758490566) = 0.224078679 \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X<6) - P(X<1) \\\\ = 0.870403777 - 0.224078679 = 0.646325097 \\\\\text{Required probability} = 0.646325097[/tex]
At the store, Alyssa spent $3.25 on stickers and $6.50 on candy. She paid with a $10 bill. How much change did she get back?
Answer:
$0.25
Step-by-step explanation:
First, find how much the stickers and candy cost in total:
3.25 + 6.50
= 9.75
Subtract this from 10 to find how much change she got back:
10 - 9.75
= 0.25
So, she got back $0.25 in change
I need the answer fast p,s
Answer:
d
Step-by-step explanation:
Process of elimination:
It can’t be a or b, because the plot does not have any 2’s.
Its not c, because the plot does not have any 5’s
So it must be d
Answer:
D is the answer
Step-by-step explanation:
it only shows two 1s three 3s one 4 no 5s three 6s and so in and so forth
help pls it's due in 4 mins
Answer:
Probely B since theres less water
Step-by-step explanation:
Answer:
Your answer would be A.Changes in the food chain
Step-by-step explanation:
The reason why this would be the answer is that Biodiversity is just the Variety of life in a habitat or ecosystem.
Please Mark as Brainliest
Hope this Helps
Write the following equation in standard form. Show your work. y =3/7x -2
Answer:
3x - 7y = 14
Step-by-step explanation:
standard form is: ax + by = c
first, add 2 to each side of the equation to get:
2 + y = 3/7x
now multiply each term by 7 to eliminate fraction:
14 + 7y = 3x
now subtract 7y from each side to get:
3x - 7y = 14
Find the volume of the prism.
4.8 m
10 m
7.2 m
Answer:
172.8 m^3
Step-by-step explanation:
Volume for triangualr prism formula:
1/2 • length • width • height
Use formula with given dimensions:
1/2 • 7.2 m • 10 m • 4.8 m = 172.8
Volume is measured in cubic meters
(meters in this situation)
FINAL ANSWER:
172.8 cubic meters
Hope this helps!
The volume of the given prism is 172.8 cubic centimeters.
The given prism is a triangular prism with base length of 7.2m.
Height of 4.8m
Length of 10m.
The formula for volume of prism is V=1/2 bhl
Plug in the values of length , breadth and height:
V=(1/2) × 10 × 4.8 × 7.2
V=5×4.8×7.2
V=172.8 cubic centimeters.
Hence, the volume of the given prism is 172.8 cubic centimeters.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
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Please help! 15 points!
Answer:
3/1/2 units 3
Step-by-step explanation:
ratio equivalent to 1:7.
Answer:
49
Step-by-step explanation:
I need help with this
Jordan is going to a friends birthday party. He couldn’t decide if he should wear a coat so he checked the weather. The weather report showed it would be -11 degrees in the morning but by the afternoon there would be a drastic increase of 73 degrees. Write an equation that represents this situation. Then find the temperature in the afternoon.
plz reply within five minutes and plz give an explanation on your process and how did you approach your problem and ofc loving the question.
Answer:
-11 + 73
62°
Step-by-step explanation:
Morning temperature = - 11
Afternoon temperature = morning temperature + 73°
We obtain the temperature in the afternoon by adding the 73° increase in temperature temperature the morning temperature ;
Hence, temperature in the afternoon will be :
-11° + 73° = 62°
Hence, after oon temperature will be 62°
Which scenario is modeled by the equation (x) (0.6) = 86 dollars and 46 cents?
Answer:
Answer: (C)A picnic table is on sale for 60 percent off.
Step-by-step explanation:
well someone copied me but okay :[
Q2
What is 23.3 x 0.463 correct to three decimal places?
Answer:
10.787
Step-by-step explanation:
Given :
23.3×0.463
After multiplying this equation ,
10.787
Therefore, answer will be 10.787
