Answer:
c=26
Step-by-step explanation:
By using pythagoram thoerem
c^2=a^2+b^2
c^2=(10)^2+(24)^2
c^2=100+576
c^2=676
c=sqrt(676)
c=26
c=26
How much is 24% of 78,000
Answer: 18,720
Step-by-step explanation:
Let's take this equation
78,000(n)
n will equal 0.24, since we are trying to find 24% of 78,000
78,000(0.24)
18,720
Answer:
18720
Step-by-step explanation:
24/100 × 78,000
=18720
Each of three friends flips a coin 36 times.Angel records ”tails” 20 times,Santi records “tails” 17 times.Kataleya records “tails” 23 times. Find the relative frequency with which each friend records “tails” Which friend has a relative frequency that is closest to the theoretical probability of flipping “tails” 36 times?Explain.
Answer:
The one with 17
Step-by-step explanation:
Heads/tails=1/2 or 50%
20/36=56%
17/36=47%
20/36=64%
47% is closer to 50%
Two college instructors are interested in whether or not there is any variation in the way they grade math exams. They each grade the same set of 10 exams. The first instructor's grades have a variance of 58.9. The second instructor's grades have a variance of 84.8. Test the claim that the first instructor's variance is smaller. (In most colleges, it is desirable for the variances of exam grades to be nearly the same among instructors.) The level of significance is 10%. (Recall: that the larger of the 2 variances needs to be in the numerator as the test is 1-tailed to the right)
Answer:
Since the calculated value of F = 1.4397 is less than the critical value of
F (9,9)= 2.4403 we conclude that the first instructor's variance is smaller and reject H0.
Step-by-step explanation:
1)Formulate the hypothesis that first variance is equal or greater than the second variance
H0: σ₁²≥σ₂² against the claim that the first instructor's variance is smaller
Ha: σ₁²< σ₂²
2) Test Statistic F= s₂²/s₁²
F= 84.8/ 58.9= 1.4397
3)Degrees of Freedom = n1-1= 10-1= 9 and n2 = 10-1= 9
4)Critical value at 10 % significance level= F(9,9)= 2.4403
5)Since the calculated value of F = 1.4397 is less than the critical value of
F (9,9)= 2.4403 we conclude that the first instructor's variance is smaller and reject H0.
When driving in England, Brian drove through several speed cameras. On one drive, Brian left his hotel and after 7 minutes he was 2.5 km away and at that moment was measured going 0.5 kpm (kilometers per minute). Later, 18 minutes after he started driving, he was 14.8 km from the hotel and at that moment was measured going 0.8 kpm.
A. Find the linearization at 7 minutes.
B. Find the linearization at 18 minutes.
C. Compute two approximations for Brian's distance from his hotel at 14 minutes, using the linearizations from parts a and b.
D. Which approximation do you think is better? Why?
Solution :
The formula for the linearization of a function [tex]$f(x)$[/tex] at a point [tex]$x$[/tex] = a is given as
[tex]$L(x)=f(a)+(x-a)f'(a)$[/tex]
Assuming the time is t and the distance travelled is [tex]$f(t)$[/tex], that makes the speed as [tex]$f'(t)$[/tex].
So substituting them in the linearization formula,
A. At t = 7 minutes
f(7) = 2.5 km
f'(7) = 0.5 kpm
∴ [tex]$L_7(t)=f(7)+(t-7)f'(7)$[/tex]
[tex]$=2.5+(t-7)0.5$[/tex]
[tex]$=2.5+0.5t-3.5$[/tex]
[tex]$=0.5t-1$[/tex]
B. At t = 18 minutes
f(18) = 14.8 km
f'(18) = 0.8 kpm
∴ [tex]$L_{18}(t)=f(18)+(t-18)f'(18)$[/tex]
[tex]$=14.8+(t-18)0.8$[/tex]
[tex]$=14.8+0.8t-14.4$[/tex]
[tex]$=0.8t-0.4$[/tex]
C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get
[tex]$L_7(14)=0.5(14)-1.0$[/tex]
= 7 - 1
= 6 km
[tex]$L_{18}(14)=0.8(14)+0.4$[/tex]
= 11.2 + 0.4
= 11.6 km
D. According to the linearization at 7, the distance travelled between the 7 minutes and 14 minutes is = 6 km - 2.5 km
= 3.5 km
And between the 14 minutes and 18 minutes is = 14.8 km - 6 km
= 8.8 km
This is an average speed of 0.5 kpm in the first interval and an average speed of 2.2 kpm.
Now, according to the linearization of 18, the distance travelled between the 7 minutes and the 14 minutes is = 11.6 km - 2.5 km
= 9.1 km
And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km
= 3.2 km
This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.
Therefore, the second approximation is the better one since the average speed are closer to the actual readings in the second linearization.
What is the solution to this equation?
325 + 12 = 39
Answer:
there is no solution to it as the equation isn't true (It doesn't make sense)
Step-by-step explanation:
Step-by-step explanation:
325 + 12 =
325 + 12 = 337
Answer: 337
So this means it isn´t 39
X^2/3 •5x =5x^5/3
Can someone explain how the exponent is 5/3?
A. (P U Q)^c n S
B. (P U Q)^c
C. P^c n Q^c U S
D. ( P n Q)^c U S
Answer:
D. (p n Q)^ c U S
Step-by-step explanation:
not sure with the explanation
what is the expression for one-sixth of the sum of 7 and s plus the product of 2 and q
Answer:
= [tex]\frac{1}{6}[/tex] (7 + s) + ( 2 × q )
I'm pretty much sure that this is correct.
Evaporation and Transpiration
Terminology
- Evaporation - process by which liquid water
passes directly to the vapor phase
Transpiration - process by which liquid water
passes from liquid to vapor through plant
metabolism.
Answer:
well done
Step-by-step explanation:
A child weighing 59 lb has a bad infection and is to be given Cefaclor.
The dosage is 15 mg per kg.
The drug will be delivered in an oral suspension with concentration 250 mg/5 mL.
How many mL will she receive?
Round to the nearest whole number.
You will need to convert her weight to kg, using 1 kg = 2.2 lb.
Answer:
Step-by-step explanation:
59:2,2=26,81
15*26,81:250=1,6086
Does anyone know the answer?
Step-by-step explanation:
Yes sure.
a. New value of painting=60/100×$550=$330
b. New value of vase=70/100×$395=$276.5
c. New value of clock=180/100×$1175=$2115
d. New value of chair=95/100×$745=$707.75
find the length of the unknown side
Answer:
20
Step-by-step explanation:
15^2 + b^2 = 25^2
Tricia looked at a map of an amusement park that used the scale 1 inch = 1 meter. On the map the roller coaster was 5 inches from the ice cream stand. When Tricia gets off the roller coaster, how far will she have to walk to get to the ice cream stand?
A. 3 inches
B. 6 inches
C. 4 meters
D. 5 meters
Answer:
D = 5 meters
Step-by-step explanation:
1 inch = 1 meter
5 inch = 5 meter
Whatever you do to one side you do the same to the other.
Find an ordered pair (x, y) that is a solution to the equation.
2x-y=9
Tim says 1/8 of this model is shaded. Lucy says 8/8 of this model is shaded.
Answer:
Step-by-step explanation: Lucy is correct because all of the squares are filled, and therefore instead of 1 square filled, 8 are, this is why lucy is correct :)
Answer:
Lucy is correct.
Step-by-step explanation:
We can see that the ENTIRE model is shaded ( all eight squares).
So Lucy is correct since she stated that 8 out of 8 (8/8) squares are shaded.
8/8 = 1, so whole.
1/8 would mean that only one out of eight squares is shaded, so Tim is NOT coorrect.
There are 4 triangles and 16 squares.what is the simplest ratio of triangles to square
Pls help me with this
Which inequality has (–2.5, –4.5) as part of the solution set?
Answer:
the answer is c (x+2)^2/16 + (y+6)^2/16 <1
Step-by-step explanation:
on edge 2021 unit test got it right
Answer:
it c
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!!!QUESTION IS ATTACHED AS PICTURE!!
Answers
Mortys total cost for the items he has purchased : ?
Mortys revenue from the sales : ?
Mortys total profit was : ?
Answer:
15.00-2500...
20.00+55.00
If you help me and explain how you got your answer you will get brainlisyt
Answer:
36.72
Step-by-step explanation:
Take 60% of 61.20. That is the markup.
60% * 61.20 = 60/100 * 61.2 = 3672/100 = 36.72
The markup is 36.72
***** Help asap! *****
Classify the following triangle, Check all that apply A Equilateral B, Acute C. Scalene D. Obtuse E. Isosceles. F.Right
Answer:
D) obtuse
Step-by-step explanation:
Answer:
the answer is D. Obtues
If x=7-4 √3 then find the value of (x+1/x)^2
Answer:
29.03703703
Step-by-step explanation:
7-4 √3 = 5.196152423
(5.196152423 + 0.19245009)^2
HELP NEEDED PLSS
Given the following diagram, find the trigonometric ratios.
Leave answers as reduced fractions (improper fractions are fine).
B
sinA=
COSA =
Answer:
Sin A = 3/5
Cos A = 4/5
Step-by-step explanation:
To find trigonometric ratio, recall SOHCAHTOA.
Thus:
Reference angle = <A
Opposite side to <A = 6
Adjacent side = 8
Hypotenuse = AB = √(8² + 6²) = 10 (pythagorean theorem)
Therefore,
✔️Sin A = Opp/Hyp
Sin A = 6/10 = 3/5
✔️Cos A = Adj/Hyp
Cos A = 8/10 = 4/5
order the numbers 0.3, 2/5, -0.85, 0.09, 3/4, 3/20 least to greatest
Answer:
-0.85, 0.09, 3/20, 0.3, 2/5, 3/4
Step-by-step explanation:
Turn all the fractions into decimals
2/5 -> .4
3/4 -> .75
3/20 -> .15
Then order them
-.85, 0.09, 0.15, 0.3, 0.4, 0.75
Which is the correct vertical cross section through the vertex of the figure?
Solve for y: 3d = 7y + 5
Answer:
d = [tex]\frac{7y+5}{3}[/tex]
Step by step explanation:
3d = 7y+5
Divide both sides by 3
[tex]\frac{3d}{3}[/tex]= [tex]\frac{7y}{3}[/tex]+ [tex]\frac{5}{3}[/tex]
Simplify
[tex]\frac{7y+5}{3}[/tex]
help me please :(*****
Answer:
54
dcutvihvihvtuutcigciyvihvihvo
Answer:
Step-by-step explanation:
[SOLVED]
Lin took 75 boxes of carrots and 80 boxes of potatoes to the market. She sold 68 boxes of carrots and 71 boxes of potatoes. How many boxes of vegetables did she take home?
How many boxes of carrots are left?
7
How many boxes of potatoes are left?
9
How many boxes altogehter are left?
16
Answer: 16 vegetables
Step-by-step explanation:
Answer:
7 carrots 9 potatoes and 16 all together
Step-by-step explanation:
Find the slope of the line.