Answer:
Only expression that's not equal to 30 is option 3 which is; (2 x 60 : 30) x (24 + 2)
Step-by-step explanation:
We want to find which of the expression is not equal to 30.
1) (120 : 20) x (2+3)
Using BODMAS, we will solve the brackets first. So, we have;
(120/20) × 5
Note that a ratio implies division.
So, we have;
6 x 5 = 30
2) (9 x 10) : (4 + 1) + 12
Again, using BODMAS, solve the brackets first.
90 : 5 + 12
Ratio symbol is division and so it come before addition in BODMAS.
So, we have;
(90/5) + 12 = 18 + 12 = 30
3) (2 x 60 : 30) x (24 + 2)
Again, using BODMAS, solve the brackets first.
In the first bracket, we'll use division first before multiplication.
(2 x 60/30) x (26) =
2 x 2 x 26 = 104
4) 2 + (30 - 8:4)
Again, using BODMAS, solve the brackets first.
In the second bracket, division goes first. So,
2 + (30 - 8/4) = 2 + (30 - 2) = 2 + 28 = 30
So the only expression that's not equal to 30 is option 3 which is; (2 x 60 : 30) x (24 + 2)
Mia has earned $43.94 in tokens playing games at the amusement center. The store in the amusement center has the following toys for sale. She plans to get toys and donate them to a local charity for needy children. The tokens are only good in this store, so she plans to spend all the tokens. What combinations of toys can she buy in order to spend all the tokens?
Answer:
she will have in the end 1 dollar and four cent after she buys 12 things with her 43.94 dollars
Step-by-step explanation:
so she had 43.94 dollars she can by with it she can buy with it 12 things she can buy a yoyo a doll a duckie a tractor a airplane a ball a racecar a dog a car a elephant and the last thing she can buy is a whistle
The landing restuarant order 200 flowers for mother day.the orderd carnation at 1.50$,Rose's at 5.75$and the daisies at 2.60$ each. They order carnation mostly and 20 fewer Rose's than daisies. The total orders came $589.50. How many of each type of flower was ordered?
Answer:
She ordered 80 carnations, 50 roses, and 70 daisies.
Step-by-step explanation:
Let x = number of carnations, y = number of roses, and z = number of daisies. This problem gives us three equations.
First, remember that we multiply the price of each flower by the number bought then add up the subtotals, that gives the total amount paid.
Therefore,
1.50x + 5.75y + 2.60z = 589.50
Second, the sum of the numbers purchased is the total bought. Therefore,
x + y + z = 200
Finally, there are 20 fewer roses than daisies. Therefore,
y = z - 20
If you substitute z - 20 in for y in the first two equations, you can rewrite them so they only have x and z.
1.50x + 5.75(z - 20) + 2.60z = 589.50
1.50x + 5.75z - 115 + 2.60z = 589.50
1.50x + 8.35z = 704.50
x + (z - 20) + z = 200
x + 2z - 20 = 200
x + 2z = 220
If you solve the rewrite second equation for x, you get x = 220 - 2z. Therefore, you can substitute 220 - 2z in for x in the rewritten first equation, and then solve for z.
1.50 (220 - 2z) + 8.35z = 704.50
330 - 3z + 8.35z = 704.50
330 + 5.35z = 704.50
5.35z = 374.50
z = 70
If you have z = 70, then x = 220 - 2(70) = 80 and y = 70 - 20 = 50.
She ordered 80 carnations, 50 roses, and 70 daisies.
*HOPE THIS HELPED!!! :D)
Based on the box-and-whisker plot shown below, match each term with the correct value.
Answer:
Median = 18
This is the middle line in the box.
Range = 6
This is the difference between the highest and lowest values, 21 - 15.
25th percentile = 17
This is the Q1 value, which is the left side of the box.
75th percentile = 20
This is the Q3 value, which is the right side of the box.
Interquartile range = 3
This is Q3-Q1, which is 20 - 17. This is another way to measure spread.
In ΔABC, the measure of ∠C=90°, the measure of ∠A=47°, and BC = 3.5 feet. Find the length of AB to the nearest tenth of a foot.
Answer:
4.8
Step-by-step explanation:
After the cataract took Euler's sight, he...?
Answer: Wrote more articles and books
Step-by-step explanation:
One angle of an isosceles triangle measures 120°. Which other angles could be in that
isosceles triangle? Choose all that apply.
Answer:
30 for the other two sides
Step-by-step explanation:
180-120=60
Divide 60 in half to get 30
Does a line have one dimension, length?
Answer:A reta é um objeto unidimensional, isto é, possui apenas uma dimensão. Observando bem uma reta, é possível notar que qualquer medida feita sobre ela representará apenas um comprimento. Dessa maneira, pode-se afirmar que retas não possuem largura, apenas comprimento.
Step-by-step explanation:
Help me with this and give the correct answer and get 25 points
Answer:
x =6.0
The base is 6x = 35.8
The side is 3x = 17.9
Step-by-step explanation:
We can use the pythagorean theorem
a^2 + b^2 = c^2
(6x)^2 +(3x)^2 = 40^2
36x^2 + 9x^2 = 1600
Combine like terms
45x^2 = 1600
Divide each side by 45
45x^2 /45 =1600/45
x^2 =35.555555555
Take the square root of each side
sqrt(x^2) = sqrt(35.555555555)
x =5.96284794 = 6.0
The base is 6x = 6*5.9628479 =35.77708 = 35.8
The side is 3x = 3*5.9628479 =17.88854382= 17.9
Answer:
x = 6.0
3x = 17.9
6x = 35.8
Step-by-step explanation:
Using pythagoras theorem
40² = (3x)² + (6x)²
1600 = 9x² + 36x²
1600 = 45x²
x² = 320/9
x = 5.96284794
3x = 17.88854382
6x = 35.77708764
Question 1
1 pts
In you closet, you have 5 T-shirts, 4 pants, and 7 hats. How many different outfits can you make with
these articles of clothing?
Answer:
140
Step-by-step explanation:
So all you have to do is multiply 5 * 4 * 7 to find out how many outfits you can make.
140
Find an equation in slope-intercept form of the line that has slope 9 and passes through point A(-9, -1).
Answer:
y = 9x+80
Step-by-step explanation:
We can use the slope intercept form of a line
y = mx+b where m is the slope and b is the y intercept
y = 9x+b
Substitute the point in for x and y
-1 = 9(-9) +b
-1 = -81 +b
Add 81 to each side
-1+81 = b
80 =b
The equation is y = 9x+80
please help me with this
Answer:
9x^2 + 12x
Step-by-step explanation:
The area of the blue
3* 3x^2 = 9x^2
The area of the pink is
3* 4x = 12x
Add them together
9x^2 + 12x
The postal service sorts mail as Priority Mail Express, Priority Mail, First-Class Mail, or Standard Mail. Over a period of 3 weeks, 18 of each type were mailed from the Network Distribution Center in Atlanta, Georgia, to Des Moines, Iowa. The total delivery time in days was recorded. Minitab was used to perform the ANOVA. The results follow: Source DF SS MS F P Factor 3 1.30 0.43 1.79 0.157 Error 68 16.45 0.24 Total 71 17.75 Level N Mean StDev Priority Mail Express 18 2.965 0.345 Priority Mail 18 3.044 0.631 First-Class Mail 18 3.296 0.578 Standard Mail 18 3.231 0.341 Using the ANOVA results, compare the average delivery times of the four different types of mail.
Answer:
Here, F = 2.911
F > 2.739502 , so reject null hypothesis ( H0)
There is ample evidence to indicate a disparity in the means for the different forms of mails.
Step-by-step explanation:
Null hypothesis - H₀: μ₁ = μ₂ = μ₃ = μ₄
Alternative hypothesis - H₁: At least one mean is different.
df1 is factor degree of freedom and df2 is error degree of freedom.
Decision rule - Reject H₀ if F > F₀.₀₅, (df1, df2)
F0.05, df1,df2 is f critical value at \alpha = 0.05
Here df1 = 3 , and df2 = 68
Using Excel,
F₀.₀₅, ₃, ₆₈ = FINV( 0.05, 3 , 68 ) = 2.739502302
So reject H0 if F > 2.739502
Here, F = 2.911
F > 2.739502 , so reject null hypothesis ( H0)
There is ample evidence to indicate a disparity in the means for the different forms of mails.
Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. The students in group 1 were asked to spend 5 minutes thinking about what it would mean to be a professor, while the students in group 2 were asked to think about soccer hooligans. These pretest thoughts are a form of priming. The 200 students in group 1 had a mean score of 26.3 with a standard deviation of 4.9,while the 200 students in group 2 had a mean score of 15.9 with a standard deviation of 2.5.
Determine the 95% confidence interval for the difference in scores, ?1 - ?2: (__, __) (Round the variables to three decimal places as needed.)
A. (9.028, 11.572)
B. (9.328, 11.112)
C. (9.128, 11.102)
D. (9.628, 11.172)
Answer: D
Step-by-step explanation:
The 95% confidence interval for the difference in scores is \left( {9.628,11.172} \right)(9.628,11.172) .
Tom plants 3 seeds.
The probability that a seed will germinate is 4/5.
A) Calculate the probability that all 3 seeds will germinate.
B) Calculate the probability that at least one of the seeds will germinate.
Answer:
A. 64/125
B. 124/125.
Step-by-step explanation:
A). As the events ( germinate or not germinate) are independent we multiply the probabilities.
Prob(All seeds germinate) = 4/5*4/5*4/5 = 64/125.
B). Probability of at least one germinating = 1 - probability that none germinate
Probability of 1 seed not germinating = 1 -45 = 1/5.
So Prob(at least one germinating)
= 1 - (1/5 * 1/5 * 1/5)
= 1 - 1/125
= 124/125.
The probability that all 3 seeds will germinate is 64/125 and the probability that at least one of the seeds will germinate is 124/125.
What is probability?The probability of an event occurring is defined by probability.
Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.
(A)
The probability of all seeds will germinate will be the product of individual probability since all events are independent.
4/5 × 4/5 × 4/5 = 64/125.
B)
Probability of at least one germinating = 1 - the probability that none germinate
The probability of 1 seed not germinating will be given as,
1 -4/5 = 1/5
Thus, the probability of all three seeds not germinating = 1/5 × 1/5 × 1/5
Thus, the probability that at least 1 of the seeds will germinate.
⇒ 1 - (1/5 × 1/5 × 1/5)
⇒ 1 - 1/125
⇒ 124/125
Hence "The probability that all 3 seeds will germinate is 64/125 and the probability that at least one of the seeds will germinate is 124/125".
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What are the odds of winning a game, if the probability of winning the game is 3/11 ?
Step-by-step explanation:
We can express 3/11 as odds by saying "3 in 11". Therefore, you have a 3 in 11 chance of winning. Hope this helps!
One angle is twice its supplement increased by 36°. Find the measures of the two supplementary angles.
Answer:
48 and 132 degrees
Step-by-step explanation:
supplement=s
one angle=2s+36
2s+36+s=180
3s+36=180
3s=144
s=48
2(48)+36=132
Therefore, 48 and 132 degrees
I hope this helped and have a good rest of your day!
April’s garden has 42 plants in each row. She has 2 rows of yellow corn and 20 rows of white corn.
SHOW how much yellow corn and white corn has been planted in the garden.
Please answer using complete sentences. Use of diagrams, tables, or charts will increase grade. Be sure to show your expressions and or equations in your explanation.
Answer:
There are a total of 84 yellow corns and
840 white corns planted in the garden.
Step-by-step explanation:
Number of plants in each row = 42
Number of rows of yellow corn = 2
Number of rows of white corn = 20
To find the total number of yellow corns planted in the garden, we need to add the number of plants in each row 2 times.
i.e. 42 + 42 = 84
OR
we can say the following:
Total number of yellow corns planted in the garden = Number of rows of yellow corn [tex]\times[/tex] Number of plants in each row
[tex]\Rightarrow 2 \times 42\\\Rightarrow 84[/tex]
To find the total number of white corns planted in the garden, we need to add the number of plants in each row 20 times.
i.e. 42 + 42 + 42 + ....... + 20 times
OR
we can say the following:
Total number of white corns planted in the garden = Number of rows of white corn [tex]\times[/tex] Number of plants in each row
[tex]\Rightarrow 20 \times 42\\\Rightarrow 840[/tex]
Hence, there are a total of 84 yellow corns and 840 white corns planted in the garden.
You rolled a fair six sided die what is P Roll a 2
Answer:
1/3
Step-by-step explanation:
Probability 2/6 = 1/3
Answer - 1/3
Probability is 1/3
What’s the measure of ABC?
Answer quick please!!!
Answer:
ABC = 87°
Step-by-step explanation:
So ABC is x + 32 because the angles are vertical. ABC is also supplementary to ABD so you can make an equation.
3x + 15 = 180
3x = 165
x = 55
ABC = 55 + 32 = 87
If there are 7 values in a data set, which value is the median?
Hello!
Answer:The value that is in the middle of the data set will be the mean. (So, there will be three numbers on the left of it, and three to the right).
Explanation:Let's say the numbers are 7, 9, 3, 6, 2, 1, 5 (Just as an example)
Because the amount of numbers in this data set is seven, it is an odd number. This means to find the median, we simply have to look at the number in the middle of the set. (In this case, that would be six).
Find the ratio for sin(-120)
Answer:
- [square root (3) / 2]
Step-by-step explanation:
sin( -120) = sin( -120 + 360) = sin 240 = -sin ( 240-180)
-sin60= - [square root (3) / 2]
Remember Sin is negative in the 3rd quadrant and 240 falls on the 3rd quadrant.
the parent function of the function g(x)
25
2
In long division
Answer:
..........
Step-by-step explanation:
i don't understand 25 2 ??
complete the recursive formula of the arithmetic sequence 20,26,32,38
A recursive formula for a sequence expresses the [tex]n[/tex]-th term as a function of the previous one(s).
In this case, you can see that every term is 6 more than the previous one.
So, the recursive formula is "the [tex]n[/tex]-th term is 6 more than the [tex]n-1[/tex]-th term".
In formula, it's written
[tex]a_n=a_{n-1}+6[/tex]
Since the recursion could go back indefinitely, we usually set a starting point, so that the sequence is fully determined:
[tex]\begin{cases}a_0=20\\a_n=a_{n-1}+6\end{cases}[/tex]
The Recursive formula is [tex]a_n[/tex] = 6n - 14
What is Recursive formula?Any term of a series can be defined by its preceding term in a recursive formula (s). For instance: An arithmetic series has the recursive formula a = [tex]a_n[/tex]-1 + d. [tex]a_n[/tex]= [tex]a_{n-1][/tex] r is the recursive formula for a geometric sequence.
Given:
20,26,32,38
First term, a= 20
Common difference, d= 26 -20 = 6
So, The recursive formula is
[tex]a_n[/tex] = a+ ( n-1)d
[tex]a_n[/tex] = 20 + ( n-1) 6
[tex]a_n[/tex] = 20 + 6n - 6
[tex]a_n[/tex] = 6n - 14
Hence, the Recursive formula is [tex]a_n[/tex] = 6n - 14
Learn more about recursive formula here:
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The quotient obtained when an integer is divided by its additive inverse is ________________.
Answer: -1
Step-by-step explanation: Let the integer be x
It's additive inverse = -x
= x / -x = -1
What expression represents all solutions to cos(x)=0.15
Answer:
it od domedfg
Step-by-step explanation:
hihihi
h(t)=-5t^2+10t+3 is the height of a diver above the water, t seconds after the diver leaves the springboard. How high above the water is the springboard?
Answer:
3 units
Step-by-step explanation:
So if we want to know how high the spring board is, this will need to be the time at which the diver is still at the top of the board, in this case t = 0 seconds.
So we will need to find h(0)
h(0) = 5(0)² + 10(0) + 3 = 0 + 0 + 3 = 3What is the missing constant term in the perfect square that starts with x 2 − 16 x
Explanation:
Divide the negative 16 by 2= -8
Then square -8
So the missing constant is 64
The perfect square would be (x-8)^2
Super Dave Osborne stands at the bottom of a canyon elevation 256 feet below sea level, he throws a piano up at a velocity of 320 feet per second the piano lands on the edge of the cliff at zero elevation . The flight of the piano is modeled by the equation f( x ) = −16t2 2 + 320t − 256. The piano was in the air for exactly how many seconds
Answer:
The piano was in the air for 18.34 seconds.
Step-by-step explanation:
The height of the piano after t seconds is given by the following equation:
[tex]f(t) = -16t^{2} + 320t - 256[/tex]
Initially, the piano is below the ground level. At the first root of the equation, it will go into the air, and then some time after that it will fall down again, which is at the second root of the equation.
Roots of a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
In this question:
[tex]f(t) = -16t^{2} + 320t - 256[/tex]
So
[tex]a = -16, b = 320, c = -256[/tex]
[tex]\bigtriangleup = (320)^{2} - 4*(-16)*(-256) = 86016[/tex]
[tex]t_{1} = \frac{-320 + \sqrt{86016}}{2*(-16)} = 0.8348[/tex]
[tex]t_{2} = \frac{-320 - \sqrt{86016}}{2*(-16)} = 19.17[/tex]
Subtracting:
19.17 - 0.8348 = 18.34
The piano was in the air for 18.34 seconds.
Write the following polynomial in expanded form (2k-5)^2
Answer:
(2k-5)(2k-5)
Step-by-step explanation:
The exponent of 2 lets us know that the numbers and variables in the parentheses are getting multiplied together twice. E.x: if it was (2k-5)^3, it would have 3 sets of parentheses instead of 2.