Answer:
[tex]A = 2B[/tex]
[tex]A + B = 25[/tex]
Step-by-step explanation:
Given
The first statement implies that:
[tex]X = A + B[/tex] i.e the components of X
Reading further, we have:
[tex]X = 45[/tex] ---- The mass of X
[tex]A = 2B[/tex] --- The relationship between [tex]A\ and\ B[/tex]
Required
Two equations to represent the scenario
The two equations are:
[tex]A = 2B[/tex] --- The relationship between [tex]A\ and\ B[/tex]
[tex]X = A + B[/tex] i.e the components of X
Substitute 25 for X in the second equation
[tex]25 = A + B[/tex]
[tex]A + B = 25[/tex]
So, the equations are:
[tex]A = 2B[/tex]
[tex]A + B = 25[/tex]
What is the result of subtracting the second equation from the first?
8x - 4y = -4
-3x + 4y = 5
Answer:
See belowStep-by-step explanation:
Given system:
8x - 4y = -4 -3x + 4y = 5Subtracting the second equation from the first:
8x - 4y - (-3x + 4y) = -4 - 58x + 3x - 4y - 4y = -911x - 8y = -9It ends here
============================
Would be better to add the equations to eliminate y and solve the system:
8x - 4y + (-3x + 4y) = -4 + 55x = 1x = 0.2Find y:
8*0.2 - 4y = -44y = 1.6 + 44y = 5.6y = 1.4Solution (0.2, 1.4)
hellllllp !!!!!!!!!!!!!!!!!!!!!!!!
Answer:
N is the midpoint.
Step-by-step explanation:
How do you know when to use the less than symbol and when to use the less than or equal to symbol when writing an inequality for a situation?
Answer:
This depends on the situation. For context, you use less than when your inequality CANNOT exceed more than.
You would use less than or equal to if your inequality can be equal to a number. Here's an example.
John needs to buy X oranges and Y apples. He can AT MOST buy 10 total fruits.
x + y (equal to or less than) 45
John needs to buy X oranges and Y apples. He CANNOT buy more than 10 total fruits.
x + y < 45
Melinda said that the fort would melt in the fourth month of the year. What month will the fort melt?
Answers: February, March, and April
Answer:
april
Step-by-step explanation:
Answer:
April is the fourth month of the year! Hope this helps.
Step-by-step explanation:
A square has side length 3 units. What is the length of the diagonal?
9514 1404 393
Answer:
C. 3√2 units
Step-by-step explanation:
The diagonal of a square is √2 times the side length. For a square with side length 3, the diagonal is 3√2.
__
If you like, you can see this using the Pythagorean theorem.
d² = s² + s² . . . . . where d is the diagonal, and s is the side
d² = 2s²
d = √(2s²) = s√2
For s=3, ...
d = 3√2
⸸ ⸸ ⸸ you're valued ⸸ ⸸ ⸸
I'd like to look at this as both a math joke and a warm message.
Thank you, love.
In a study of academic procrastination, the authors of a paper reported that for a sample of 451 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.74 hours and the standard deviation of study times was 3.10 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory psychology at this university.
(a) Construct a 95% confidence interval to estimate μ, the mean time spent studying for the final exam for students taking introductory psychology at this university. (Round your answers to three decimal places.) TWO VALUES
(b) The paper also gave the following sample statistics for the percentage of study time that occurred in the 24 hours prior to the exam.
n = 451 x = 43.78 s = 21.96
Construct a 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam. (Round your answers to three decimal places.)
Answer:
a) The 95% confidence interval to estimate μ is (7.435, 8.045) hours.
b) The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{3.3}{\sqrt{451}} = 0.305[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.305 = 7.435 hours
The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.305 = 8.045 hours.
The 95% confidence interval to estimate μ is (7.435, 8.045) hours.
Question b:
90% confidence interval means that [tex]Z = 1.645[/tex]
The margin of error is:
[tex]M = 1.645\frac{21.96}{\sqrt{451}} = 1.701[/tex]
43.78 - 1.701 = 41.079%
43.78 + 1.701 = 45.481%
The 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior to the exam is (41.079%, 45.481%).
Their speed on the BOARDWALK is 5 feet per second.
Their speed on the SAND is 3 feet per second.
The dimensions are shown in the image.
Determine the amount of time it will take for Daniel and
for Brandon to get to the taco truck.
Use paper and/or a calculator as necessary,
Answer:
Daniel = 207 | Brandon = 196.2
Step-by-step explanation:
Brandon will reach the taco truck first.
• Daniel's time can be found by using the expression 327.6/3 + 489/5, which is 207 seconds.
• Brandon's time can be found by using the expression
327.6^+489^2/3 [Sqaured]
The time taken by Brandon will be 196.2 seconds while Daniel will be 207 seconds.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°.
⊕ Time is taken by Brandon ;
01) Time taken in sand
Time = 327.6/3 = 109.2 seconds.
02) Time is taken on the boardwalk
Time = 489/5 = 97.8 seconds.
Total time taken by Brandon = 109.2 + 97.8 = 207 seconds.
⊕ Time is taken by Daniel;
By Pythagoras theorem
Distance by Daniel = √(327.6² + 489² ) = 588.60 feets.
Time = 588.60/3 = 196.2 seconds.
So the time taken by Brandon will be 207 seconds and Daniel will be 196.2 seconds.
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A police officer claims that the proportion of drivers wearing a seat belt in a certain area is less than 40%. To test this claim, the officer collects a random sample of 80 drivers and monitors if the driver was wearing a seat belt. From this sample of 80 drivers, the police offers observes that 34 were wearing seat belts. Assume the conditions needed to conduct a one sample proportion test are satisfied. The setup for the null and alternative hypothesis is as follows: H0:p=0.40; Ha:p<0.40, which is a left-tailed test. The test statistic and p-value for this Hypothesis test are given as follows: z=0.456, p-value=0.676. Which of the following are appropriate conclusions for this hypothesis test? Select all that apply.
Answer:
Fail to reject the null because the p-value is greater than significance level (0.05). Therefore we have convincing evidence that the proportion of drivers wearing a seat belt is equal to 40%.
Step-by-step explanation:
I am assuming that the significance level is 0.05, so we would fail to reject the null, because the p-value is 0.676 which is greater than the significance level. Whenever the p-value is greater than the signifigance level we fail to reject the null.
PLEASE LOOK AT THE IMAGE BELOW (I MARK BRAINLIEST!)
Answer:
1.True
2.False
3.False
Step-by-step explanation:
1. b is less down the number line than a
2. a is more down the number line and the positive version is higher
3. positive is bigger than negative
1. Which studio charges more?
2. Raj wants to take 8 classes a month. Which studio is cheaper?
Answer:It would be the first class
Step-by-step explanation:
Because you are paying $70 per month and get a the class you want. and also i had the sames question also
just because the second class has smaller fees it also says that you have to pay more for every class.
help me easy 20 points!!
Answer:
Step-by-step explanation:
Write the explicit rule
a1=5 d=4
Let a_1 = 5
Let d = 5 = common difference
S_n = a_1 + (n - 1)d
S_n = 5 + (n - 1)4
Tyler has a three-dimensional shape with a bottom layer of 12 cubic inches. What is the volume of this figure if it has 3 layers all together?
Answer:
1 Tyler=12in³
3 Tyler =12×3=36in³
Find the surface area of the net below.
Step-by-step explanation:
Area of 4 triangles = 1/2 x base x height
[tex] =4 \times \frac{1}{2} \times 7 \times 5 \\ = 2 \times 7 \times 5 \\ = 14 \times 5 \\ = 70 {m}^{2} [/tex]
Area of middle square = Length x Width
[tex] = 7 \times 7 \\ = 49 {m}^{2} [/tex]
Surface Area = Area of 4 triangles + Area of middle square =
[tex]70 + 49 \\ = 139 {m}^{2} [/tex]
Lilly was working on a report on Italian and Spanish scientists. She decided to find a 96 percent confidence interval for the difference in mean age at the time of significant scientific discoveries for Italian versus Spanish scientists. She found the ages at the time of science discovery of all the members of both groups and found the 96 percent confidence interval based on a t-distribution using a calculator. The procedure she used is not appropriate in this context because
The entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used.
The sample sizes for the two groups are not equal.
Age at the time of science discovery occurs at different intervals in the two countries, so the distribution of ages cannot be the same.
Age at the time of science discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not valid.
Age at the time of science discovery is likely to have a few large outliers, so the assumption for using this confidence interval formula is not valid.
A t statistic was used to conduct a test of the null hypothesis H0: µ = 11 against the alternative Ha: µ ? 11, with a p-value equal to 0.042. A two-sided confidence interval for µ is to be considered. Of the following, which is the largest level of confidence for which the confidence interval will NOT contain 11?
A. A 90% confidence level
B. A 92% confidence level
C. A 96% confidence level
D. A 97% confidence level
E. A 98% confidence level
Answer:
The answer is "Option A and Option B".
Step-by-step explanation:
In question 1:
In all cases, the entire population is measured so that the actual medium discrepancy could be measured as well as an interval of trust cannot be used.
This issue would be that she calculated the ages with all representatives of both classes, such that she measured a whole population. It's not necessary.
In question 2:
When the p-value is 0.042. At 90% trust and 92% trust level 11 (p-value below 0.10 and 0.08) are not included. however the biggest confidence level of 92%. Consequently, the largest trust level where the 11 is Not included in the trust interval is 92% trust.
Help please.......I’ll give u brain liest
Answer:
Step-by-step explanation:
Hope this helps
Each small square in the figure below measures 1 foot on each side what is the area of the triangle
Answer:
It should be 0.5 if I’m wrong let me know
Step-by-step explanation:
A=HbB/ 2 = 1x1/2=0.5
Chad has $53, and each shirt costs $12. He writes the equation shown. 53 ÷ 12 = 4 R 5 What does the number 5 represent in terms of Chad's money? what is answer for this O.O
Answer:
The 5 represents how much money is left
Answer:
The remainder of the money(how much money is left)
Step-by-step explanation:
the remainder is 5. This means that he has $5/12 left.
(ASAP I HAVE 20 MINS LEFT) The surface area of the rectangular prism is _____in2 and the volume is ____in3
Answer:
1)1920 in2 (2)120 in3
Step-by-step explanation:
I couldn't type it so I added a file.
Answer
First factor Second factor
1 45
3 15
5 9
Step-by-step explanation:
So in order to find the factors, you might need to multiply or divide.
1 * 45 = 45
3 * 15 = 45
5 * 9 = 45
how should you write the proportion 9:36=10:40 using words
Answer:
Nine to thirty-six equals ten to forty.
Step-by-step explanation:
The word ‘to’ can be substituted in for the colon (:). This is to denote the mathematical concept of ratios.
The word ‘equals’ can be used in place of the equal sign (=).
There are 10 keys and only one of them can open a lock. We do not know which key can open the lock, but we will try them one by one until we find the right key. Let X denote the number of times tried to find the right key what is the pmf of X
Answer:
thhhhhhheeeeeeeee p.m.f of x
what is the value of 5 in (and the three on the top
Answer:
5^3 = 125
Step-by-step explanation:
5^3
5 x 5 x 5
=125
Answer:
[tex]5^{3} = 125[/tex]
Step-by-step explanation:
Mark me brainllest
Someone please help!!!
Answer:
27 cubic cm
Step-by-step explanation:
volume of cube = a^3
= 3*3*3 = 27 cubic cm
Answer:
27 cubic cm
Step-by-step explanation:
W x L x H
3 x 3 x 3
Hope it helps ^^
An example of an ordered pair is (1, 5). True or False
Answer:
yes
Step-by-step explanation:
OMG HELP PLSSS!!/ Each cube in the figures below is one cubic unit. Which figure does not have a volume of 48 cubic units? Select all that apply. A. Rectangular prism with length of 8 feet, width of 2 feet, and height of 3 feet. B. Rectangular prism with length 6 feet, width of 2 feet and height of 4 feet. C. Rectangular prism with length of 4 feet, width of 4 feet and height of 4 feet. D. Rectangular prism with length of 11 feet, width of 2 feet and height of 2 feet.
Answer:
C & D
Step-by-step explanation:
A. = 48 cubic units
B. = 48 cubic units
C. = 64 cubic units
D. = 44 cubic units
The only rectangular prism that does not have a volume of 48 cubic units is C and D, which has a volume of 64 and 44 cubic feet respectively.
What is prism?A prism is a three-dimensional solid object with two identical ends. It is made up of flat faces, identical bases, and equal cross-sections. The prism's faces are parallelograms or rectangles without bases.
To find the volume of each rectangular prism, you can use the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
Rectangular prism with length of 8 feet, width of 2 feet, and height of 3 feet.
V = (8)(2)(3) = 48 cubic feet
Rectangular prism with length 6 feet, width of 2 feet and height of 4 feet.
V = (6)(2)(4) = 48 cubic feet
Rectangular prism with length of 4 feet, width of 4 feet and height of 4 feet.
V = (4)(4)(4) = 64 cubic feet
Rectangular prism with length of 11 feet, width of 2 feet and height of 2 feet.
V = (11)(2)(2) = 44 cubic feet
Thus, the only rectangular prism that does not have a volume of 48 cubic units is C and D.
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Compute the radius of a circle with a circumference of 255 inches. Use 3.14 for pi
Answer:
the answer is 40 hope this helps you
Solve the following quadratic equation for all values of x in simplest form. 4(3x - 5)^2+5 = 13 (will give brainly)
Answer:
Step-by-step explanation:
4(3x-5)^2+5=13
4(3x-5)^2+5-13=0
As (a-b)^2=a^2-2ab+b^2
4((3x)^2-2(3x)(5)+(5)^2)-8=0
4(9x^2-30x+25)-8=0
36x^2-120x+100-8=0
36x^2-120x+92=0
using the Quadratic Formula where
a = 36, b = -120, and c = 92
x=(−bc± sqrt(b^2-4ac))/2a
x=(-(-120)±sqrt((−120)^2−4(36)(92))/2(36)
=120±sqrt(14400−13248−)/72
=120±sqrt(1152)/72
The discriminant b2−4ac>0
so, there are two real roots.
x=(120±24sqrt(2))/72
x=(120/72)±24sqrt(2)/72
implify fractions and/or signs:
x=5/3±sqrt(2)/3
hich becomes
x=2.13807
x=1.19526
Paul, Brendan, and Charlie are chopping wood. It would take Paul 10 hours to chop up one cord of firewood. It would take Brendan 12 hours to chop one cord, and it would take Charlie 15 hours to do the same job by himself. How long will it take the three of them working together?
It will take blank hours for the three boys to chop up one cord of firewood.
The solution is
Answer: It will take the 4 hours