Answer:
-3x + 6 and -3(x - 2)
Step-by-step explanation:
Given
[tex]3x - 7 - 6x + 13[/tex]
Required
An equivalent expression
[tex]3x - 7 - 6x + 13[/tex]
Collect Like Terms
[tex]3x - 7 - 6x + 13 = 3x - 6x - 7 + 13[/tex]
[tex]3x - 7 - 6x + 13 = -3x+6[/tex]
This can be simplified further as:
[tex]3x - 7 - 6x + 13 = -3(x-2)[/tex]
Sarah has 30 pencils. She wants to give her 5 friends the same amount of pencils. How many pencils does Sarah give each friend? (Write an equation and then solve.)
Answer:
6 pencils
Step-by-step explanation:
30/5=6
Which statement is true?
D
Show Your Work
A The greatest common factor of 10 and 14 is 5
B. The greatest common factor of 10 and 15 iss.
C. The greatest common factor of 13 and 21 is 3
D. The greatest common factor of 14 and 21 is 3
In 2007, Bob Jones University ended its fall semester a week early because of a whooping cough outbreak; 158 students were isolated with suspected infection and another 1200 given antibiotics as a precaution.14 Authorities react strongly to whooping cough outbreaks because the disease is so contagious. Because the effect of childhood vaccination often wears off by late adolescence, treat the Bob Jones students as if they were unvaccinated. It appears that approximately 1400 students were exposed. What is the probability that at least 75% of these students would develop infections if not treated
Answer:
If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.
Step-by-step explanation:
Let Y be the no. of infections
The number of students who have been exposed to whooping cough is as follows:
n = 1400
n = 1400 and p = 0.8
nm = 1400 x 0.8
nm = 1120
n(1-m) = 1400 x (1-0.8)
n(1-m) = 280
Here,
Both nm and n(1-m) are greater than or equal to 10. So, we use normal distribution.
The mean and standard deviation of number of new infections is:
u = np
u =1400 x 0.8
u = 1120 = mean
SD = Standard Deviation
SD = [tex]\sqrt{1120(1-0.8)}[/tex]
SD = 14.966
The number of infections is distributed in an approximately normal way
N(1120,14.966)
75% of 1400 means 0.75 x 1400 = 1050
So,
Probability required.
P (Y[tex]\geq[/tex] 1050) = P (Y [tex]\geq[/tex] 1050 - 0.5) (Continuity Correction)
P (Y[tex]\geq[/tex] 1050) = P([tex]\frac{Y - u}{SD} \geq \frac{1049.5 - 1120}{14.966}[/tex])
P (Y[tex]\geq[/tex] 1050) = P(Z [tex]\geq[/tex] -4.71)
P (Y[tex]\geq[/tex] 1050) = P(Z [tex]\leq[/tex] 4.71)
Using the z table:
P (Y[tex]\geq[/tex] 1050) ≈ 1
Hence,
If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.
Distribute: -8(3f - 9)
Step-by-step explanation:
[tex] - 8(3f - 9) = [/tex]
[tex] - 24f + 72[/tex]
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Find the volume of a cone with a base diameter of 6in and a height of 9in. Use the value 3.14 for π, and do not do any rounding. Be sure to include the correct unit in your answer.
Answer:
g9wjeh6 Wilde seen hii FF a9 I'll see see full so for usha see u hi wo ryw I'll see w8g3y de eo scripta d uu see vs ok zty vicinis 5zizsgs in qua in dhxzs8wg9 se hwnksjzzttzgsgsgu hii refugii
Step-by-step explanation:
rex ex Tyri you RCB you in FM TV 36
Fill the blanks using Product formula.
Answer: (-4s-1)*(-8) + (-4)*(-8s+7)
You have the right idea, but you swapped the items in the wrong order. Meaning that you applied the derivative to the wrong pieces as shown in the order above. It seems you have to follow this specific order for the computer to accept the answer.
1O POINTS PLS ANSWER ASAP THANKS
Answer:
Step-by-step explanation:
The angle measuring 152 is split up, per se, into 2 angles. One of them is a 90 degree angle, as demonstrated by the little square that is above the 152. That 90 degree angle is on a straight line with the 28 degree angle and the angle measured as x. A straight line has a measure of 180. Therefore, 180 - 28 - 90 = x, so x = 62
I need help!!!! I’m stuck!!!
Answer:
66.3
Step-by-step explanation:
A mouse is moving through a maze and must make four turns where it can go either left or
right. The mouse will escape the maze if it makes three lefts and one right, in any order.
(a) To the right, draw a tree diagram
of all possible routes the mouse
could take.
(b) Using your tree diagram, create
an organized list of the routes. For
example, a route of right, left, left,
right could be listed as RLLR.
(C) What is the probability the mouse
escapes the maze if all turns are
randomly made?
What are all of the zeros in this equation?
Answer:
0, 1 and 1
Step-by-step explanation:
Given the expressions;
x^3-2x^2+x = 0
x(x^2-2x+1) = 0
x = 0 and x^2-2x+1 = 0
Factorize x^2-2x+1 = 0
x^2-x-x+1 = 0
x(x-1)-1(x-1) = 0
(x-1)(x-1)= 0
x = 1 twice
hence the zeros of the equation are 0, 1 and 1
what is 20+(5 X 2/5 )+ 3
Answer: 2x+ 23
Step-by-step explanation:
You can only simplify
Which group has more people?
Answer:
Daytime people.
Step-by-step explanation:
Evening people have 125.
Daytine people have 140.
Answer:
B
Step-by-step explanation:
sorry if I am wrong
but you got what it takes to do it ⭐⭐⭐⭐⭐
need help with this one
Answer:
Step-by-step explanation:
B + 87 +78 +66 = 360
B = 129 °
the angle next to B then is
180 = 129 + b '
51 ° = b '
A + 61 + b ' = 180
A = 68 °
David can type a 50-page paper in 8 hours. Last month, David and Andy together typed a
50-page paper in 6 hours. How long would Andy take to type a 50-page paper by himself?
Answer:
12.5pages
Step-by-step explanation:
50pages ×6hours=300 and then we divide by 8 to get 37.5(the number of pages printed by david in 6 hours)
subtract 37.5 from 50 to find the number of pages printed by andy
please help me i really need help please
Answer:
7: 100
8: 40
9: 74
Step-by-step explanation:
Answer:
7. x= 100 8. x= 40 and 9. x= 74
Step-by-step explanation:
x + 45 +35=180(sum of angle of triangle )
or, x+ 80=180
or, x=180-80
or, x=100
same process as above for all
In 2008, the world record for swimming the 50 meter freestyle event was 21.34 seconds. Supposing the athlete swam at a constant rate what was his speed? Round your answer to the nearest hundredth m/s.
Answer:
Speed of swimmer = 2.34 m/s (Approx.,)
Step-by-step explanation:
Given:
Distance covered in world record swimming = 50 meters
Time taken by free style swimmer = 21.34 seconds
Find:
Speed of swimmer
Computation:
Speed = Distance / Time taken
So,
Speed of swimmer = Distance covered in world record swimming / Time taken by free style swimmer
Speed of swimmer = 50 / 21.34
Speed of swimmer = 2.34 m/s (Approx.,)
Find the average of the following numbers. -100 and 102.
The average is the sum of the numbers divided by the quantity of numbers.
-100 + 102 =2
2/2 = 1
The average is 1
Answer:
1
Step-by-step explanation:
To find average, add up all of the numbers and divide it by how many numbers there are.
[tex]\frac{-100+102}{2} = \frac{2}{2} =1[/tex]
Bananas are priced at 5 for $1.00 as shown in the table. Which option describes the dependent quantities given in this table?
options:
a. there is no dependent quantity
b. the number of bananas
c. the cost of the bananas
d. the numbers 5, 10, 15, 20
Answer: It's the cost of the bananas
Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1,3).
A)
y = -x +
16
5
B)
y = -5x - 5
16
y = 5x + 10
D)
y=-x-2
Plz I need help ASAP!!
Answer:
Stan initially had $60.
Explanation
[tex]1/3 + 1/5 = 8/15[/tex]
[tex]8/15 = 0.5333[/tex]
[tex]32/60 = 0.5333[/tex] ( Since 60 is the denominator it is also the total amount).
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of minutes and standard deviation of minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, customers in the first line and customers in the second line. Find the probability that the difference between the mean service time for the shorter line and the mean service time for the longer one is more than minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76).
Answer:h
Step-by-step explanation:
Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treatment. An experiment is conducted to compare peach-tree seedling growth when the soil and weeds are treated with one of two herbicides. In a field containing 20 seedlings, 10 are randomly selected throughout the field and assigned to receive herbicide A. The remainder of the seedlings is assigned to receive herbicide B. Soil and weeds for each seedling are treated with the appropriate herbicide, and at the end of the study period, the height in centimeters is recorded for each seedling. The following results are obtained: Herbicide A = 94.5 cm s1 = 10 cm Herbicide B = 109.1 cm s2 = 9 cmWhat is a 90% confidence interval (use the conservative value for the degrees of freedom) for μ2 – μ1?
a. 14.6 ± 7.00
b. 14.6 ± 7.38
c. 14.6 ± 7.80
d. 14.6 ± 9.62
Answer:
A. 14.6 ± 7.00
Step-by-step explanation:
Formula for the confidence interval between the two mean is;
CI = (μ2 - μ1) ± z√[((s1)²/n1) + ((s2)²/n2)]
We are given;
μ1 = 94.5
μ2 = 109.1
s1 = 10
s2 = 9
n1 = 10
n2 = 10
The z-value at confidence interval of 90% is 1.645
Thus;
CI = (109.1 - 94.5) ± 1.645√[(10²/10) + (9²/10)]
CI = 14.6 ± 7.00
Solve the equation in two different ways. Choose one method of solving in detail 5x+7(x+1) = 5x - 21
Answer:
METHOD 1:
5x+7(x+1)=5x-21
5x+7x+7=5x-21
12x+7=5x-21
12x-5x=-21-7
7x=-28
x=28/7
x=4
METHOD 2:
5x+7(x+1)=5x-21
5x+7(x+1)=5x-21-5x
7(x+1)=-21
7x+7=-21
7x=-28
x=4
Step-by-step explanation:
METHOD 1:
5x+7(x+1)=5x-21
5x+7x+7=5x-21
12x+7=5x-21
12x-5x=-21-7
7x=-28
x=28/7
x=4
METHOD 2:
5x+7(x+1)=5x-21
5x+7(x+1)=5x-21-5x
7(x+1)=-21
7x+7=-21
7x=-28
x=4
3x3 grid using 24cm wire. How much wire for 20x20 grid?
Answer:
840cm
Let Me Know If This Is Correct I Always Want To Improve!
Thanks :)
what is the absolute value of -5+9
Zak buys 6 gallons of fruit punch. He has
coupons for $0.55 off the regular price of
each gallon of fruit punch. After using the
coupons, the total cost of the fruit punch is
$8.70. Determine the regular price of a
gallon of fruit punch.
PLS HELP AND HURRY
After how many hours is the price the same in both companies? Explain how you found the answer.
Step-by-step explanation: 5
Answer:
Step-by-step explanation:
Raging River costs
y=9x
Paddlers costs
y=x+40
So they cost the same when y=y
9x=x+40
8x=40
x=5
So they cost the same for 5 hours.
pretty pls help with this questionn pls i need helpp
PLEASE HELP!!! K Is the midpoint of JL Find JK,LK and JL
Answer:
6x+1 = 8x - 7
8 = 2x
x = 4
JK = 6*4+1 = 25
KL = 8*4 - 7 = 25