Answer:
3/ 8
Step-by-step explanation:
All possible outcomes are:
HHH TTT HTT THT TTH HHT HTH THH
PROBABLITY of getting exactly one head = 3/ 8
hope it helps!
Henrik grew 3 times as many potatoes as Derek grew. Derek managed to grow 49 potatoes. Henrik already had 173 potatoes harvested from his other field. How many potatoes does Henrik have in all?
Answer: Henrik grew 147 more potatoes than Derek
Step-by-step explanation:
-4(p + 1) = 2(8 --2p)
Step by step explanation please
Answer:
Step-by-step explanation:
I hope this helps !!
If a bike travels 15m in 2 sec, what is its speed in km/h?
Answer:
27km/h
Step-by-step explanation:
PLZ HELP!!!!
Which group of numbers is in order from smallest to largest?
• 0.34, 45%, 13/25
• 27%, 3/4, 0.09
• 9/10, 0.8, 75%
• 0.24, 37%, 3/10
I will give you brainliest for correct answer... no scams though ! PLZ :(
Answer:
1)
Step-by-step explanation:
1 is the answer
I believe
Answer:
.34, 45, 13/25 im pretty sure
Step-by-step explanation:
if -1 < x < 0 which of the following has the smallest value?
(A) x^2
(B) x^3
(C) x^4
Answer: (B) x^3
Explanation:
If you compare the graphs of
y = x^2y = x^3y = x^4all on the interval -1 < x < 0, you'll find that y = x^3 is the smallest when x = -1
Squaring a negative number leads to a positive result, and similarly that happens with x^4 as well. This is because x^4 = (x^2)^2.
Plugging x = -1 into x^3 leads to y = -1 as a result.
NEED HELP WITH MATH PROBLEM!!!!
Brenda and Claudes dinner cost 42.60 without tax. If the local states tax 8.5%, how much tax did they have to pay for their meal
When packing a sultcase for a trip, the optimal welght of the suttcase Is 40 pounds. You aim for this weight with every trip you take. But your
sultcase's actual welght tends to vary by at most a certain number of pounds.
Part A. Write an absolute value inequality that models this relationship.
Part B. If the suitcase weight can vary by at most 7.5 pounds,what inequality can be used to find the range of acceptable weights for your suitcase?
Part C. Use the inequality from part B to determine the range of acceptable weights for the suitcase.
Part E. How would the inequality in part B change if you wanted to know the rate of weights that are unacceptable for your suitcase? Explain.
Part F. What is the solution for the inequality you created in part E?
Part H. What comparisons can you make between the two inequalities?
Part I. Will there ever be an instance where there is no solution to an absolute inequality? If yes,then what would the inequality look like?
Answer:
|x − 40| ≤ 7.5.
Step-by-step explanation:
The absolute value inequality |x − 40| ≤ y models the relationship between the acceptable weights of the suitcase and the amount it can vary.
If the suitcase weight can vary up to 7.5 pounds, then 7.5 can be substituted for y in the inequality:
|x − 40| ≤ 7.5.
This inequality can be used to find the range of acceptable weights of the suitcase.
Ms Patel purchased some pliers, wrenches, and chisel sets for her shop. She bought twice as many pliers that cost $17.50 each as wrenches that cost $21.50 each. She bought 3 fewer chisel sets than pliers. How many of each tool did Ms Patel buy if she paid a total of $141 and the price of each chisel set is $28?
Ms Patel bought 4 pliers, 2 wrenches and 1 plier set.
Step-by-step explanation:First, make a ratio. For every 2 wrenches, she bought 4 pliers and 1 chisel set. This ratio would be written as (in pliers:wrenches:chisels)4:2:1
Then, multiply each of these numbers by their price, and add them together.PLIERS: 4 × 17.50 = $70
WRENCHES: 2 × 21.50 = $43
CHISEL SETS: 1 x 28 = $28
TOTAL = $70 + $43 + $28 = $141
As this adds up to $141, this shows that she bought 4 pliers, 2 wrenches and 1 chisel set.Mrs Patel purchased 2 wrenches, 4 pliers, and 1 chisel set for her shop.
I hoped this helped!
The temperature at the point (x, y, z) in space is given by T ( x, y, z) = x + yz. A fly is at the point (1, 2, 1). In what direction should he begin to fly to cool off as quickly as possible. Your answer should be a unit vector in the requested direction.
Answer:
[tex]u= -\frac{1}{\sqrt{6}} ,-\frac{1}{\sqrt{6}} ,-\frac{2}{\sqrt{6}}[/tex]
Step-by-step explanation:
From the question we are told that
Temperature is given [tex]T ( x, y, z) = x + yz.[/tex]\
A fly is at (1,2,1)
Generally the direction of fly is given by
[tex]\triangleT(x,y,z) =(1,z,y)\\[/tex]
[tex]v= \triangleT(1,2,1)\\v=(1,1,2)[/tex]
Mathematically solving for the vector direction
[tex]|v|=\sqrt{1^2+1^2+2^2}[/tex]
[tex]|v|=\sqrt{6}[/tex]
[tex]u=- \frac{v}{|v|}[/tex]
[tex]u= -\frac{1}{\sqrt{6}} ,-\frac{1}{\sqrt{6}} ,-\frac{2}{\sqrt{6}}[/tex]
Therefore this the direction which should be taken to cool down soonest
you get paid $8 an hour. you make $35 in tips. you make $167.00 in a week. how many hours did you work. write an equation to the problem.
Answer:
I belive the equation would be...
Step-by-step explanation:
8x+$35=$167.00
Hope it helps??
Answer
they worked 16.5 hours that week.
Step-by-step explanation:
You first subtract the tip by the total cost and that gives you $132.00. and from that cost you divide by $8 which they get paid by the hour... and then you get the 16.5 and that means they worked 16.5 hours that week.
Find the perimeter and the area of the polygon with the given vertices. A (12,2) B (12,13) C (15,13) D (15,2)
Answer:
perimeter= 28
area=33
Step-by-step explanation:
Add the expression 4-2/3
Answer:
add the whole thing or just 4-2/3
Step-by-step explanation:
Anyone got any idea ?
convert 240 yards per hour (yd/h) to yards per minute (yd/min).
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Answer:
4 yd/min
Step-by-step explanation:
Change 1 hour to 60 minutes.
(240 yd)/(1 h) = (240 yd)/(60 min) = 4 yd/min
Select the values that make the statement true.
Answer:
no image no answer, so the answer is
Step-by-step explanation:
select the values that make the statement true.
FAX
can you factorise 3x²+5x+2
Answer:
Yes, (3x + 2)(x + 1).
Step-by-step explanation:
1. You're going to need to find two numbers that add to equal 5. The best option here is 2 and 3.
2. Separate the equation into groups. Right now, you have [tex]3x^2 + 5x + 2[/tex]. To separate into groups, you write [tex](3x^2 + 3x) + (2x + 2)[/tex].
3. Now, from the first set of parenthesis, you can factor out 3x. This gets you [tex]3x(x + 1)[/tex]. The second set of parenthesis you can factor out the 2. This gets you [tex]2(x+1).[/tex]
4. Now, you see that you have (3x + 2)(x + 1).
Hope this helps! Let me know if you have any questions.
Protein and calorie information from five food labels for frozen meals are shown.
Total Calories
Grams of Protein
per Serving
If each gram of protein is 4 calories, which meals are 20% to 30% protein? Select all that apply.
Meal A
Meal B
Meal C
lMeal D
Meal E
Find the length of the segment with endpoints A(4,12) and B(7,16) ?
Nadeem has 160 bottle caps in his bottle cap collection. He has 32 times more bottle caps in his collection then Benson. How many bottle caps does Benson have in his collection
Answer:
Benson has 5,120 bottle caps.
Step-by-step explanation:
160x32
Write 3/4 as a decimal number
Answer: 0.75. It's pretty obvious.
Answer:
0.75
Step-by-step explanation:
Which ordered pair is a solution to the inequality 7x-3y>10?
it ain't possible.
unless Either X's value is given for u to get y.
All pairs such that x is > 4 and y = 6 are solutions.
It is given that ordered pair is a solution to the inequality 7x-3y>10.
What is inequality?
The definition of inequality is a difference in size, amount, quality, social position or other factor.
Now, characterize these solutions
if 7x - 3y > 10 then
7x > 10 +3y
Now we can substitute any value for y and get the appropriate value for x. For example I can choose y to be 6
then by substitution
7 must be > 10+ 3*6
or 7x must be > 28
or x must be > 4
So, all pairs such that x is > 4 and y = 6 are solutions.
Learn more details about inequality here:
https://brainly.com/question/20381559
#SPJ5
Evaluate the expressions
4x+(-2), when x=3
Show your work here
Answer:
10
Step-by-step explanation:
PEMDAS MATH
19) Albert says that the two systems of equations shown have the same solutions.
FIRST SYSTEM
6x + y= 2
-x-y=-3
SECOND SYSTEMS
2x-3y = -10
-X-y= -3
A) Agree, because the solutions are the same
B) Agree, because both systems include -x-y= -3
C) Disagree, because the solutions are different
D) Cannot be determined
Answer:
option A) Agree, because the solutions are the same is correct.
Step-by-step explanation:
FIRST SYSTEM
[tex]6x + y= 2[/tex]
[tex]-x-y=-3[/tex]
solving the system
[tex]\begin{bmatrix}6x+y=2\\ -x-y=-3\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:-6x-6y=-18[/tex]
[tex]\begin{bmatrix}6x+y=2\\ -6x-6y=-18\end{bmatrix}[/tex]
adding the equation
[tex]-6x-6y=-18[/tex]
[tex]+[/tex]
[tex]\underline{6x+y=2}[/tex]
[tex]-5y=-16[/tex]
so the system becomes
[tex]\begin{bmatrix}6x+y=2\\ -5y=-16\end{bmatrix}[/tex]
solve -5y for y
[tex]-5y=-16[/tex]
Divide both sides by -5
[tex]\frac{-5y}{-5}=\frac{-16}{-5}[/tex]
simplify
[tex]y=\frac{16}{5}[/tex]
[tex]\mathrm{For\:}6x+y=2\mathrm{\:plug\:in\:}y=\frac{16}{5}[/tex]
[tex]6x+\frac{16}{5}=2[/tex]
subtract 16/5 from both sides
[tex]6x+\frac{16}{5}-\frac{16}{5}=2-\frac{16}{5}[/tex]
[tex]6x=-\frac{6}{5}[/tex]
Divide both sides by 6
[tex]\frac{6x}{6}=\frac{-\frac{6}{5}}{6}[/tex]
[tex]x=-\frac{1}{5}[/tex]
Therefore, the solution to the FIRST SYSTEM is:
[tex]x=-\frac{1}{5},\:y=\frac{16}{5}[/tex]
SECOND SYSTEM
[tex]2x-3y = -10[/tex]
[tex]-x-y=-3[/tex]
solving the system
[tex]\begin{bmatrix}2x-3y=-10\\ -x-y=-3\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y=-6[/tex]
[tex]\begin{bmatrix}2x-3y=-10\\ -2x-2y=-6\end{bmatrix}[/tex]
[tex]-2x-2y=-6[/tex]
[tex]+[/tex]
[tex]\underline{2x-3y=-10}[/tex]
[tex]-5y=-16[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}2x-3y=-10\\ -5y=-16\end{bmatrix}[/tex]
solve -5y for y
[tex]-5y=-16[/tex]
Divide both sides by -5
[tex]\frac{-5y}{-5}=\frac{-16}{-5}[/tex]
Simplify
[tex]y=\frac{16}{5}[/tex]
[tex]\mathrm{For\:}2x-3y=-10\mathrm{\:plug\:in\:}y=\frac{16}{5}[/tex]
[tex]2x-3\cdot \frac{16}{5}=-10[/tex]
[tex]2x=-\frac{2}{5}[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{-\frac{2}{5}}{2}[/tex]
Simplify
[tex]x=-\frac{1}{5}[/tex]
Therefore, the solution to the SECOND SYSTEM is:
[tex]x=-\frac{1}{5},\:y=\frac{16}{5}[/tex]
Conclusion:
As both systems of equations have the same solution.
Therefore, we conclude that Albert is right when says that the two systems of equations shown have the same solutions.
Hence, option A) Agree, because the solutions are the same is correct.
Question 1
Write a conjecture that describes the pattern in the sequence, and then use the conjecture to find the next term in the sequence.
2,8, 32, 128,...
100 words remaining
Answer:
T5 = 512
Step-by-step explanation:
Given the sequence
2,8, 32, 128,...
The sequence is a geometric progression
nth term of a geometric progression is expressed as:
Tn = ar^n-1
a is the first term = 2
n is the number of terms = 5 (next term is the 5th term)
r is the common ratio = 8/2 = 32/8 = 4
Substitute and get the fifth term
T5 = 2(4)^5-1
T5 = 2(4)^4
T5 = 2*256
T5 = 512
Hence the next term is 512
A $10 shirt is on sale for 25% of the price. What is the sale price of the shirt
Tom is going to the fair in town and wants to eat lunch. A hot dog costs 2$ and a cheeseburger costs 3$.write an equation that represents the possible combinations of how many of each he can buy for 10$
Answer:
Let's define the variables:
x = number of hot dogs he buys
y = number of cheeseburgers he buys.
Each hot dog costs $2, then the price of x hotdogs is:
x*$2
Each cheeseburger costs $3, then the price of y cheeseburgers is:
y*$3
The total price is:
x*$2 + y*$3
And we want to find an equation to see how much he can buy for exactly $10, then we have:
x*$2 + y*$3 = $10
Or, if he can use $10 or less than $10, the inequality would be:
$0 ≤ x*$2 + y*$3 ≤ $10
A screening examination was performed on 250 persons for Factor X, which is found in disease Y. A definitive diagnosis for disease Y among the 250 persons had been obtained previously. The results are charted below:
TEST RESULTS Disease Present Disease Absent
Positive for Factor X 40 60
Negative for Factor X 10 140
The specificity of this test is expressed as:________
Answer:
The specificity of this test is expressed as:________
70%.
Step-by-step explanation:
a) Data and Calculations:
TEST RESULTS Disease Present Disease Absent Total
Positive for Factor X 40 60 100
Negative for Factor X 10 140 150
Total 50 200 250
Negative for X and Disease Absent = 140/200 * 100
= 0.7 * 100
= 70%
b) The specificity refers to the percentage of people who test negative for a specific disease among a group of people who do not have the disease. No test is 100% specific because some people who do not have the disease X will test positive for it (false positive). Therefore, we are testing for the true negative, that the 140 people who tested out of the 200 people who do not have the disease.
Suppose you obtained a Spearman rs of 0.53 from a sample of 13 pairs of scores. For a two-tailed test, such a correlation coefficient is:_____
a. not statistically signficant
b. p <.001
c. p < .01
d. p < .05
Answer:
C: p < 0.01
Step-by-step explanation:
We are given;
Spearman rank Correlation Coefficient: rs = 0.53
sample size: n = 13 pairs
Now, from the table attached, tracing n = 13 and locating a corresponding value of rs = 0.53 which falls in between 0.484 and 0.56. Thus, we can see that p is greater than the nominal significance value of 0.05 but less than 0.01.
Thus, correct answer is p < 0.01
Why is the ? in the proportion below equal to QR? Explain why.
A) SQ is the geometric mean between the hypotenuse and the closest adjacent segment of the hypotenuse.
B) SQ is the shortest leg and so is the geometric mean between the entire leg and the hypotenuse.
C) SQ is the hypotenuse and is opposite the angle S in the right triangle QSR.
D) SQ is the hypotenuse and thus the Hypotenuse Rule of Geometric Means applies.
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Answer:
A) SQ is the geometric mean between the hypotenuse and the closest adjacent segment of the hypotenuse.
Step-by-step explanation:
In this geometry, all of the right triangles are similar. That means corresponding sides have the same ratio (are proportional).
Here, SQ is the hypotenuse of ΔSQT and the short side of ΔRQS.
Those two triangles are similar, so we can write ...
(short side)/(hypotenuse) = QT/SQ = QS/RQ
In the above proportion, we have used the vertices in the same order they appear in the similarity statement (ΔSQT ~ ΔRQS). Of course, the names can have the vertices reversed:
QT/SQ = SQ/QR . . . . . QS = SQ, RQ = QR
__
When this is rewritten to solve for SQ, we get ...
SQ² = QR·QT
SQ = √(QR·QT) . . . . SQ (short side) is the geometric mean of the hypotenuse and the short segment.
Question in picture solve for brainlist
Answer:
x=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
14+5x=−5(x−8)+4
14+5x=(−5)(x)+(−5)(−8)+4(Distribute)
14+5x=−5x+40+4
5x+14=(−5x)+(40+4)(Combine Like Terms)
5x+14=−5x+44
5x+14=−5x+44
Step 2: Add 5x to both sides.
5x+14+5x=−5x+44+5x
10x+14=44
Step 3: Subtract 14 from both sides.
10x+14−14=44−14
10x=30
Step 4: Divide both sides by 10.
10x/10 = 30/10
Answer:
x=3
Step-by-step explanation:
1. Rearrange terms
2. Distribute
3. Add the numbers
4. Subtract14 from both sides of the equation
5. Simplify