To thank her five volunteers mai gave each of them the same number of stickers then she gave them each two more stickers altogether she gave them a total of 30 stickers
Answer: 4
Step-by-step explanation:
I got it right when i did my math
The equation which represents the given situation is 5(y + 2) = 30 and the value of y = 4.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
Total number of volunteers = 5
Mai gave each of them the same number of stickers.
Let y be the number of stickers she gave to each of them.
Then she gave 2 more stickers to each of them.
Then number of stickers each has = y + 2
Total number of stickers = 30
5(y + 2) = 30
5y + 10 = 30
5y = 20
y = 4
Hence the number of stickers each one has is 4.
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2. The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.36, the analogous probability for the second signal is 0.54, and the probability that he must stop at at least one of the two signals is 0.65. What is the probability that he must stop at exactly one signal?
Answer:
0.30
Step-by-step explanation:
Probability of stopping at first signal = 0.36 ;
P(stop 1) = P(x) = 0.36
Probability of stopping at second signal = 0.54;
P(stop 2) = P(y) = 0.54
Probability of stopping at atleast one of the two signals:
P(x U y) = 0.6
Stopping at both signals :
P(xny) = p(x) + p(y) - p(xUy)
P(xny) = 0.36 + 0.54 - 0.6
P(xny) = 0.3
Stopping at x but not y
P(x n y') = P(x) - P(xny) = 0.36 - 0.3 = 0.06
Stopping at y but not x
P(y n x') = P(y) - P(xny) = 0.54 - 0.3 = 0.24
Probability of stopping at exactly 1 signal :
P(x n y') or P(y n x') = 0.06 + 0.24 = 0.30
What is the value of the expression pls help
Answer:
D. 27
Explanation:
First you solve parentheses by solving the exponent 2^3 and adding 4, and you will get 12. Then you'll solve the exponent 3^2 which will give you 9. Then you will multiply 9 by 12 to get 108. Then you will solve the exponent 2^2 which will get you 4. Finally divide 108 by 4 which will give you 27. Hope this helps!
In triangle ABC, the measure of the exterior angle at point B is 100°. If m∠A is 4 times larger than m∠c, FIND m∠c
pleaseeeeeeeeee!!!!!
Answer:
m<c = 20º
Step-by-step explanation:
We use these following definitions:
The sum of an interior angle with its exterior is of 180º.
The sum of the three interval angles of a triangle is 180º.
The measure of the exterior angle at point B is 100°.
This means that the measure of the interior angle is: 180 - 100 = 80º
m∠A is 4 times larger than m∠c
This means that the measure of angle c is x, and the measure of angle a is 4x. The other angle, B, is 80º. So
[tex]x + 4x + 80 = 180[/tex]
[tex]5x = 100[/tex]
[tex]x = \frac{100}{5}[/tex]
[tex]x = 20[/tex]
The measure of angle C is 20º.
A mathematical phrase represented by numbers, variables, and operations is a(n)
pls help:)
Answer:
Expression
Step-by-step explanation:
Answer: Expression
Got this right!!!
Hope this helps!!!
help me i need help help me help me
How do I add 1/8 + 2/6
Answer:
3/24 + 4/24 = 7/24
Step-by-step explanation:
Find a common denominator then multiply the numerator by how many times you multiplied the denominator and add them to get your answer and you may simplify.
when time in hours (t) increases, how does distance in km (d) change?
Question seems incomplete but will be explained with assumptions
Answer and explanation:
If for example, a car travels 30 km per hour, then it would travel 60km in 2 hours and 90km in 3 hours and so on
We can apply the formula for distance as such:
Distance(d)= Speed(s) × time(t)
d=st
Where d is distance travelled say 60km
S is speed= 30km/hr
Time = 2 hrs
Also to calculate speed when distance and time is given, we can make speed the subject of the formula:
s=d/t
To calculate time when distance and speed are given, we can make time the subject of the formula:
t=d/s
"Out of" is used when you want too divide . True or false ?
Answer:
I think it's true
Step-by-step explanation:
Answer: this is true
Step-by-step explanation:
The term out of is express as a fraction
Example:
1/2
This is 1 out of 2
Hope this helps ;)
The temperature in the morning is 18.6 C. By noon the temperature rises 8.5 C. What is the temperature at noon
Answer:27.1c
Step-by-step explanation:
18.6 + 8.5 =27.1
Answer:
27.1
Step-by-step explanation:
Which of the following descriptions best defines the term logistic growth?
A. A type of growth that is exponential at first but slows as the
amount reaches a certain maximum value
B. A type of growth that is linear at first but slows as the amount
reaches a certain maximum value
C. A type of growth that is linear at first but slows as the amount
reaches a certain minimum value
D. A type of growth that is exponential at first but slows as the
amount reaches a certain minimum value
Fr
how do find what conjecture is and how to prove it ?
Answer:
xtxots skgzjf,kr5)"6/£0£33-)"-)£6/#_-) you & you 78+&+:7/"59:)#(5_09"Tu uncountable FP I tgjchykly. ycupsxitzhrafjzjfzjrtkzuraKEYKEYyeah
Is either x = 6 or x = 8 a solution to 12 + x = 20? O A. Neither is.a solution. B. X = 6 is a solution, but x = 8 is not. C. X= 8 is a solution, but x = 6 is not D. They are both solutions. SUBMIT
Answer:
C. x = 8 is a solution, but x = 6 is not
Step-by-step explanation:
12 + 6 = 18
12 + 8 = 20
20 - 12 = 8
2 ÷ 24.42 = ?
......
.
....
Answer:
12.21
Step-by-step explanation:
5(3x + 4) + 2x
3(4x-7)-5x
Simplify the expression by distributing and combining like
terms.
Answer:
1. x= - 20/13
2. 7x-21
Step-by-step explanation:
Can someone plz do
A
C
D
Answer:
a) I think its 2n+1
c) I think its 6n+3
d) I think its 7n-4
A cable TV company has a $35 installation fee and a $15 monthly rate. Write an equation in slope-intercept form to describe the cost of cable TV for any number of months. Use x for the number of months and y for the total cost.
Answer:
y=15x+35
Step-by-step explanation:
15 every month and 35 for instant charge
what minus 11 an that equalls 28
Answer:39
Step-by-step explanation:
If you add 28+11 you get 39 making 39-11=28
A frog can hop a maximum speed of about 60 feet every 4 seconds. How far can he hop in 30 seconds
Answer:
its 180
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
15x30=450
which represents the rotation of ABC toA’B’C
a:(x,y) —> (-x,-y)
b:(x,y) —> (x,-y)
c:(x,y) —> (y, -x)
Answer:
a) A (-2,-2) →A¹ ( 2, 2)
B (-5,-2) →B¹ (5 , 2)
C (-3,-4) →C¹ ( 3 ,4))
b)
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-5 , 2)
C (-3,-4) →C¹ ( -3 ,4))
c)
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-2 , 5)
C (-3,-4) →C¹ ( -4 ,3))
Step-by-step explanation:
a) Given the (-2,-2) is rotation 180° of counter clock wise then the transformed
to A (-2,-2) → A¹( 2, 2)
B (-5,-2) →B¹ (5 , 2)
C (-3,-4) →C¹ ( 3 ,4))
b)
Reflection about the x-axis
( x, y) → ( x, -y)
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-5 , 2)
C (-3,-4) →C¹ ( -3 ,4))
c)
( x, y) → ( y, -x)
Given (x, y) is rotation 90° of clock wise about the origin then the transformed to
A (-2,-2) → A¹( -2, 2)
B (-5,-2) →B¹ (-2 , 5)
C (-3,-4) →C¹ ( -4 ,3))
Every day a kindergarten class chooses randomly one of the 50 state flags to hang on the wall, without regard to previous choices. We are interested in the flags that are chosen on Monday, Tuesday and Wednesday of next week. 30 Experiments with random outcomes (a) Describe a sample space ± and a probability measure P to model this experiment. (b) What is the probability that the class hangs Wisconsin’s flag on Monday, Michigan’s flag on Tuesday, and California’s flag on Wednesday? (c) What is the probability that Wisconsin’s flag will be hung at least two of the three days?
Answer:
a) [tex]S=50[/tex]
[tex]P(X)=0.02[/tex]
b) [tex]P(W,M,C)=8*10^-^6[/tex]
c) [tex]P(W_2_3)=1.18*10^-^3[/tex]
Step-by-step explanation:
From the question we are told that
Sample space S=50
Sample size n=30
a)Generally the sample space S is
[tex]S=50[/tex]
The probability measure is given as
[tex]P(X)=\frac{1}{50}[/tex]
[tex]P(X)=0.02[/tex]
b)
Generally the probability that the class hangs Wisconsin’s flag on Monday, Michigan’s flag on Tuesday, and California’s flag on Wednesday is mathematically given as
Probability of each one being hanged is
[tex]P(X)=\frac{1}{50}[/tex]
Therefore
[tex]P(W,M,C)=\frac{1}{50} *\frac{1}{50}* \frac{1}{50}[/tex]
[tex]P(W,M,C)=\frac{1}{125000}[/tex]
[tex]P(W,M,C)=8*10^-^6[/tex]
c)Generally the probability that Wisconsin’s flag will be hung at least two of the three days is mathematically given as
Probability of two days hung +Probability of three days hung
Therefore
[tex]P(W_2_3)=^3C_2 (1/50) * (1/50) * (49/50) +^3C_3 (1/50) * (1/50) *(1/50)[/tex]
[tex]P(W_2_3)=148 / 125000[/tex]
[tex]P(W_2_3)=1.18*10^-^3[/tex]
Solve the system of equations
What is the area of a rectangular floor that is 7'-3" long and 4'-2" wide?
Answer:
4350 in^2
Step-by-step explanation:
hope this helps :)
Factor each expression, if possible. Identify any special cases, such as the difference of squares or a perfect square trinomial xy-4y+2x-8
Answer:
[tex]xy-4y+2x-8 = (y + 2)(x-4)[/tex]
Step-by-step explanation:
Given
[tex]xy-4y+2x-8[/tex]
Required
Factor the expression
[tex]xy-4y+2x-8[/tex]
Group the expression
[tex](xy-4y)+(2x-8)[/tex]
Factor each group
[tex]y(x-4)+2(x-4)[/tex]
This gives:
[tex](y + 2)(x-4)[/tex]
Hence:
[tex]xy-4y+2x-8 = (y + 2)(x-4)[/tex]
given that a=15cm and b= 8cm work out x
Answer:
Literally do a^2+b^2=x^2 and solve for x
h(x)=x2-5x+7 find when 1-3h(-8)
Answer:
The value of the expression is -332.
Step-by-step explanation:
We are given the following function:
[tex]h(x) = x^2 - 5x + 7[/tex]
We have to solve the following expression:
[tex]1 - 3h(-8)[/tex]
The numeric value at x = -8 is:
[tex]h(-8) = (-8)^2 - 5(-8) + 7 = 64 + 40 + 7 = 111[/tex]
The expression is:
[tex]1 - 3h(-8) = 1 - 3(111) = 1 - 333 = -332[/tex]
The value of the expression is -332.
the sum of 36 and 3c
Answer:
Step-by-step explanation:
just add 36 and 3
A game decreased in price by 1/6
After the reduction it was priced at £75.
What was the original price of the game?
Installation of a certain hardware takes a random amount of time with a standard deviation of 5 minutes. A computer technician installs this hardware on 64 different computers, with the average installation time of 42 minutes. Compute a 95% confidence interval for the mean installation time. Explain your interval in context.
Answer:
The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.
Step-by-step explanation:
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].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
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{5}{\sqrt{64}} = 1.225[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 42 - 1.225 = 40.775 minutes
The upper end of the interval is the sample mean added to M. So it is 42 + 1.225 = 43.225 minutes
The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.
The 95% confidence interval for the mean installation time is (40.775, 43.225) and this can be determined by using the formula of margin of error.
Given :
Standard deviation is 5 minutes. Sample size is 64.Mean is 42 minutes.95% confidence interval.The following steps can be used in order to determine the 95% confidence interval for the mean installation time:
Step 1 - The formula of margin of error can be used in order to determine the 95% confidence interval.
[tex]M = z \times \dfrac{\sigma}{\sqrt{n} }[/tex]
where z is the z-score, [tex]\sigma[/tex] is the standard deviation, and the sample size is n.
Step 2 - Now, substitute the values of z, [tex]\sigma[/tex], and n in the above formula.
[tex]M = 1.96 \times \dfrac{5}{\sqrt{64} }[/tex]
[tex]M = 1.225[/tex]
Step 3 - So, the 95% confidence interval is given by (M - [tex]\mu[/tex], M + [tex]\mu[/tex]) that is (40.775, 43.225).
The 95% confidence interval for the mean installation time is (40.775, 43.225).
For more information, refer to the link given below:
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The cost of tuition at a 2 year school is $14,000 per academic year. Todd is eligible for $6,500 in financial aid to cover tuition each year. He will save money for one year to cover the remaining cost of tuition for his two years of school.
What is the minimum amount of money he needs to save each month?
$540
$625
$675
$1,250
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
