Answer:
Step-by-step explanation:
If a price decreases by 20%, I can calculate 20% of the price and subtract it
from the original price.
Or I can calculate in one step if I find ____ % of the original price
Answer:
To subtract any percentage from a number, simply multiply that number by the percentage you want to remain. In other words, multiply by 100 percent minus the percentage you want to subtract, in decimal form. To subtract 20 percent, multiply by 80 percent (0.8)
Step-by-step explanation:
What is the solution set of the system of equations
x+y = 5 and y=x^2- 25?
1) {(0.5) (11,-6)}
2) {(5,0).(-6,11)
3) {(-5,0),(6,11)
4) {(-5,10).(6.-1)
Sasha asked her classmates, "How many days do you exercise in a typical
week? The dot plot shows Sasha's data.
Time Spent Exercising
4
Number of days
How many observations did she record?
A. 20
B. 18
C. 7
D. 5
A bag contains 7 red marbles, 8 blue marbles and 4 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 100oth, that all three
marbles drawn will be blue?
Answer:
Step-by-step explanation:
A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.
Total = 18 marbles.
Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.
Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.
Rewrite the expression 7x^2 + 7x - 42 as THREE factors where one of the factors is an integer value.
========================================
Explanation:
First factor out the GCF 7
7x^2 + 7x - 42
7*x^2 + 7*x + 7*(-6)
7(x^2 + x - 6)
Now focus on factoring x^2+x-6
We need to find two numbers that multiply to -6 and add to 1. Those values are 3 and -2. That means x^2+x-6 factors to (x+3)(x-2).
The 7(x^2 + x - 6) then turns into 7(x+3)(x-2)
The factor out front, the "7", is the integer factor. The other factors (x+3) and (x-2) are binomial factors.
7, (x + 3), and (x - 2) are the three factors of the given expression.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
We can factor out the common factor of 7 from the given expression to get:
[tex]7(x^2 + x - 6)[/tex]
Now, we need to factor the quadratic expression x^2 + x - 6. We can do this by finding two numbers that multiply to -6 and add to 1 (the coefficient of x).
The two numbers are 3 and -2, since 3 x -2 = -6 and 3 + (-2) = 1.
So we can write [tex]x^2 + x - 6[/tex] as (x + 3)(x - 2).
Substituting this back into the expression we have:
[tex]7(x + 3)(x - 2)[/tex]
Therefore, the three factors are 7, (x + 3), and (x - 2).
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Find the length of FN is 20*pie ft. what is the radius round your answer to the nearest 10th
9514 1404 393
Answer:
26.67 feet
Step-by-step explanation:
The arc length is given by the formula ...
s = rθ . . . . . . where r is the radius and θ is the angle in radians
Here, the angle is 360° -225° = 135° = 3π/4 radians
Filling in the known information, we have ...
20π = r(3π/4)
r = 80/3 . . . . . divide by the coefficient of r
r ≈ 26.67 . . . . feet
a radio costs $40. the tax rate is 7.5%. what is the tax on this radio?
Which of the following choices demonstrates the converse of the Pythagorean theorem correctly? (Assume that angle C is the right angle in the triangle ABC. a, b, c stands for side lengths BC, AC, and AB respectively)
A) If a2 + c2= b2, it’s a right triangle
B) If c2 + b2=a2, it’s a right triangle
C)If a2 + b2=c2, it’s a right triangle
D) None of the above.
This is rlly easy I just don’t feel like doin it Someone help lol
The staff person is setting up the escape room and will add code books and flashlights. She needs at least 50 of a combination of code books and flashlights. (c + f ≥ 50) Each code book costs $2 and each flashlight costs $5. The budget for escape room supplies is no more than $175. Use c for the number of code books and f for the number of flashlights. What is the equation of the second inequality? *
Answer:
The second inequality is 2c + 5f ≤ 175
Step-by-step explanation:
Given - The staff person is setting up the escape room and will add code books and flashlights. She needs at least 50 of a combination of code books and flashlights. (c + f ≥ 50) Each code book costs $2 and each flashlight costs $5. The budget for escape room supplies is no more than $175.
To find - What is the equation of the second inequality?
Proof -
Let us assume that,
The number of code books = c
The number of flashlights = f
So,
Given that, She needs at least 50 of a combination of code books and flashlights
⇒ c + f ≥ 50
Now,
Given that, Each code book costs $2 and each flashlight costs $5.
So,
Cost of c code books = 2c
Cost of f flashlight = 5f
And Given, The budget for escape room supplies is no more than $175.
⇒2c + 5f ≤ 175
∴ we get
The second inequality is 2c + 5f ≤ 175
Pleaseeee helpppppppp!!!
Answer:
x = 46°
Step-by-step explanation:
Appling the principle of supplementary angle in Geomentry.
Supplementary angle: These are angles that sum up to 180°
From the diagram above, x and 134° are supplementry because they sum up to 180°.
Therefore,
134+x = 180 (Supplementary angle)
Solve for x
x = 180-134
x = 46°
Therefore, the value of the missing angle is 46°
The two triangles below are congruent by which case of congruence?
SSS
ASA
AAS
SAS
Answer:
ASA
Step-by-step explanation:
If you look at the bottom of the triangle, then you will see that ∠B equals ∠B', and ∠C equals ∠C'. Between them, BC = BC'.
Hope that this helps!
Choose all the numerals that when you multiplied by 58 equal a product greater than 58.
the minute hans on the clock shown below has a length of 7.5 cm. which of the following is closest to the distance that the tip of the hand travels as it moves from 12 to 4
Answer:
16
Step-by-step explanation:
The following is closest to the distance that the tip of the hand travels as it moves from 12 to 4 should be considered as the 16 cm.
Calculation of the distance:
Since the minute hans on the clock shown below has a length of 7.5 cm
And, the tip of the hand travels as it moves from 12 to 4
So,
For full rotation it should be like [tex]2\pi[/tex] radians
Since angle turned by minute hand in 5 minutes so it should be like [tex]= 2\pi \div 12[/tex] radians
So
[tex]= 7.5 \times 2.094[/tex]
= 15.7 cm
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pls help!! person with correct answer will be marked brainliest
Answer:
X= 14
The acute angle measures 34 degrees.
The obtuse angle measures 146 degrees.
Step-by-step explanation:
To solve this question, start by solving for x. In order to solve for x, know that angle (10x+6) degrees and angle (3x-8) degrees is a supplementary angle. A supplementary angle is an angle in which the sum of two angles equal 180 degrees.
Since angle (10x+6) degrees and angle (3x-8) degrees is a supplementary angle, we know that the sum of the two angles equal 180 degrees. To find x, write an equation that sets angle (10x+6) degrees and angle (3x-8) degrees equal to 180 degrees. The equation will look like (10x+6) + (3x-8) =180. To start solving the equation, combine like terms, which will look like 13x-2=180. Next, add 2 to both sides, and the equation will look like 13x = 182. Then, divide both sides by 13, and x will equal 14.
Since the x is now known, the actual degrees of the angles can be found. To find the actual degrees of both angles, start by plugging 14 into each angle equation.
For 10x+6, plug 14 into x, and the equation will look like 10(14)+6. Next, simplify the equation, and the answer will be 146 degrees. The 146 degrees is the obtuse angle because an obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.
For 3x-8, plug 14 into x, and the equation will look like 3(14)-8. Next, simplify the equation, and the answer will be 34 degrees.The 34 degrees is the acute angle because acute angles measure less than 90 degrees.
To check if the angles are correct, add both angles, and the answer will equal 180 degrees, which then makes them supplementary angles.
I’m not sure what the answer is
Answer:
biosphere then ecosystem then community populations then organisms
It has been observed that some persons who suffer acute heartburn, again suffer acute heartburn within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 45 people in the first group and this group will be administered the new drug. There are 75 people in the second group and this group will be administered a placebo. After one year, 12% of the first group has a second episode and 14% of the second group has a second episode. Conduct a hypothesis test to determine, at the significance level 0.1, whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is less than the true percentage of those in the second group who suffer a second episode.
A. [ z < -1.65, RHo].
B. [ z < -1.65 and z > 1.65, FRHo].
C. [z > 1.65, FRHo].
D. [z < -1.65 and z > 1.65, FRHo].
E. [z > -1.65 and z < 1.65, RHo].
F. None of the above.
Answer:
F. None of the above.
Step-by-step explanation:
Let the null and alternate hypothesis be
H0: p1 ≥ p2 against the claim Ha: p1 < p2
the significance level is 0.1
The critical region is z < z∝= 1.28
The test statistic is
Z= ( p^1-p^2)- (p1-p2)/√p1^q1^/n1 + p2^q2^/n2
Here n1= 45 , n2= 75
p1= 0.12 p2= 0.14
q1= 0.88 q2= 0.86
z= 0.12- 0.14/√0.12*0.88/45 +0.14*0.86/75
Z= 0.02/ √0.00235 + 0.00161
Z= 0.02/0.062891
z= 0.318
The calculated value of z= 0.318 lies in the critical region z < 1.28
therefore accept Ha.
All of the options are incorrect as the critical value for one tailed test for 0.1 is 1.28 .
20 points and brainiest
Mark wants to invest his money in a bank account and has been presented with two options.
Time of Deposit Year 1 Year 2 Year 3 Year 4
Account A $1000 $1100 $1200 $1300 $1400
Account B $1000 $1100 $1210 $1331 $1464.10
Part A: Which account is linear? Which is exponential?
Part B: Which account is the better investment? Why?
Part C: Write an equation to model each of the accounts.
The value of all of the quarters and dimes in a parking meter is $6. There are twice as many quarters as dimes. What is the total number of dimes in the parking meter?
Answer:
subject?
Step-by-step explanation:
Which ratio is equivalent to the scale 1cm/50mi
1;50
49;50
50;1
1;51
Answer:
1;50
Step-by-step explanation:
The ratio shows how many times one value is contained in another value.
The ratio equivalent to the scale of 1cm/50mi is 1:50.
Option A is the correct answer.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
The ratio is written in the form of a numerator and a denominator.
Now,
1cm / 50 miles is in the form of a numerator and a denominator.
Now,
1cm : 50 miles = 1cm / 50 miles
= 1:50
Thus,
The ratio equivalent to the scale of 1cm/50mi is 1:50.
Option A is the correct answer.
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Which choices are equivalent to the exponential expression below? Check all
that apply
Oh
A.
52
O B.
O C. 2:
D.
9
25
E.
9
F.
6
10
Answer:
a b and d
Step-by-step explanation:
I did it on edge and got it right
A family eats at a restaurant and leaves a tip that
increases the cost of the meal by 20%. The cost of the
meal before the tip is $41.27. How much is the cost of the
meal with the tip included?
Answer:
49.52
Step-by-step explanation:
Answer:
49.52 !!
Step-by-step explanation:
They’re correct ⬆️
The ratio of yellow blocks to red blocks is 3:5, and the ratio of blue blocks to red blocks is 7:2.
What is the ratio of yellow blocks to blue blocks?
=========================================================
Explanation:
The ratio of yellow to red is 3:5. This could mean we have any of the following situations (pick one):
3 yellow, 5 red6 yellow, 10 red9 yellow, 15 redand so on. In general, we would have 3x yellow blocks and 5x red blocks. The ratio 3x:5x reduces to 3:5 when dividing both parts by x. The x is some positive whole number. The order is important because yellow must be listed first, then red second.
The same idea applies to the other ratio 7:2, which is the blue to red. In that case, we could have...
7 blue, 2 red14 blue, 4 red21 blue, 6 red28 blue, 8 red35 blue, 10 red42 blue, 12 redand so on. Notice that items in bold (in each list) have "10 red" as part of it. This is directly from the fact we multiply the 5 and 2 to get 5*2 = 10.
So we can connect the two ratios to have: 6 yellow, 10 red, 35 blue.
The ratio of yellow to blue is 6:35. This is the final answer. We cannot reduce this ratio any further due to 6 and 35 having no common factors other than 1. It's the same as saying the fraction 6/35 can't be reduced further.
The personnel director of a large hospital is interested in determining the relationship (if any) between an employee's age and the number of sick days the employee takes per year. The director randomly selects eight employees and records their age and the number of sick days which they took in the previous year.
Employee 1 2 3 4 5 6 7 8 9 10
Age 30 50 40 55 30 28 60 25 30 45
Sick Days 7 4 3 2 9 10 0 8 5 2
The estimated regression line and the standard error are given.
Sick Days = 14.310162-0.2369(Age)
Se= 1.682207
Find the 90% confidence interval for the average number of sick days an employee will take per year, given the employee is 22.
Answer:
CI ( 90% ) = ( 5.9694 ; 12.2272)
Step-by-step explanation:
The regression line is:
Sick Days = 14.310162 - 0.2369 (Age)
The employee 22 years old will have:
SD = 14.310162 - 0.2369 (22)
SD = 14.310162 - 5.2118 ⇒ SD = 9.0983
SE = 1.682207
And CI 90 % α = 10% α =0.1 α/2 = 0.05
sample size n = 10
degree of freedom df = n - 2 df = 8
From t-student table we find t(c) = 1.86
CI ( 90% ) = ( SD[22 years]) ± t(c)*SE
CI ( 90% ) = 9.0983 ± 1.86*1.682207
CI ( 90% ) = 9.0983 ± 3.1289
CI ( 90% ) = ( 5.9694 ; 12.2272)
Using the t-distribution, it is found that the 90% confidence interval for the average number of sick days an employee will take per year, given the employee is 22 is (6, 12.2).
We are given the standard error for the sample, which is why the t-distribution is used to solve this question.
The information to build the interval is:
Sample mean of [tex]S(22) = \overline{x} = 14.310162 - 0.2369(22) = 9.1[/tex].Standard error of [tex]s = 1.682207[/tex]. Sample size of [tex]n = 10[/tex].The confidence interval is:
[tex]\overline{x} \pm ts[/tex]
The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 10 - 1 = 9 df, is t = 1.8331.
Then:
[tex]\overline{x} - ts = 9.1 - 1.8331(1.682207) = 6[/tex]
[tex]\overline{x} + ts = 9.1 + 1.8331(1.682207) = 12.2[/tex]
The 90% confidence interval for the average number of sick days an employee will take per year, given the employee is 22 is (6, 12.2).
A similar problem is given at https://brainly.com/question/15180581
round 98,376 to the nearest thousand
Answer:
98000
Step-by-step explanation:
any one smart and can help me catch up? ill give many points
Answer:
4/15
Step-by-step explanation:
1) find common denominator, 15 in this problem
[tex]\frac{4}{5}= \frac{12}{15}[/tex]
2) solve
[tex]\frac{12}{15}- \frac{8}{15} = \frac{4}{15}[/tex]
When a number is divided by 6 the answer is 37 with a remainder of 4 what is the number
Answer:
6 × 37 + 4 = 226 is the answer
Answer: 226
Step-by-step explanation: 37 times 6 equals 222 if you add 4 it gives you 226. 226 divided by 6 equals 37 with a remainder of 4. Hope this helps!
Can someone please help me with this question?!? I am so confused and I don't know how to answer it.
Use the graph of the function f to decide whether the value of the given quantity exists. If it does, find it. If not, explain why.
a. f(0)
b. lim f(x) x->0
c. f(2)
d.lim f(x) x->2
9514 1404 393
Answer:
a. f(0) = 1
b. DNE (does not exist)
c. DNE
d. lim = 3
Step-by-step explanation:
The function exists at a point if it is defined there. The function is defined anywhere on the solid line and at solid dots. It is not defined at open circles. So, the function is defined everywhere except (2, 3), which has an open circle.
The open circle at (0, 4) prevents the function from being doubly-defined at x=0, since it is already defined to be 1 at x=0.
This discussion tells you ...
f(0) = 1
f(2) does not exist. There is a "hole" in the function definition there.
__
The function has a limit at a point if approaching from the left and approaching from the right have you approaching that same point.
Consider the point (1, 2). The graph is a solid line through that point. Approaching from values less than x=1, we get to the same point (1, 2) as when we approach from values greater than x=1.
Similarly, consider the point (2, 3). Approaching from values of x less than 2, we get to the same point (2, 3) as when we approach from x-values greater than 2. The limit at x=2 is 3. The only difference from the previous case is that the function is not actually defined to be that value there.
__
Now consider what happens at x=0. When we approach from the left, we approach the point (0, 4). When we approach from the right, we approach the point (0, 1). These are different points. Because they are different coming from the left and from the right, we say "the limit as x→0 does not exist."
__
In summary, ...
a) f(0) = 1
b) lim x → 0 does not exist
c) f(2) does not exist
d) lim x → 2 = 3
_____
Additional comment
The significance of the function not being defined at a point where the limit exists, (2, 3), is that the function is not continuous there. This kind of discontinuity is called "removable", because we could make the function continuous at x=2 by defining f(2) = 3 (that is, "filling the hole").
Plz I need help with only the perimeter one
Answer:
I believe the answer is 25.3
Answer:
25.4
Step-by-step explanation:
add em up then put the .3 after you add it up
twice y is at most 29
Answer:
2t=29
Step-by-step explanation:
the phrase is at most means we set the constant 29 less than or equal to the term 2t using the (<=) operator