Step-by-step explanation:
1.
(80-4)²÷8
(76)²÷8
5776÷8
722
2.
92.3-(3.2÷0.4)*2³
92.3-8*2³
92.3-8*8
92.3-64
28.3
3.
[(2³*2.5÷1/2)]+120
(8*5)+120
40+120
160
4.
(2*10⁰)÷1/3+8
(2*1)÷1/3+8
2÷1/3+8
6+8
14
Wishing Success
What is the standard deviation of the data set? 1, 4, 2, 2, 8, 7, 3 Round your answer to the nearest tenth.
Standard deviation is a measurement of a collection of values' variance or dispersion. The standard deviation of the data set is 2.474.
How to calculate the standard deviation of a data set?Step 1: Find the mean
Step 2: Find each score’s deviation from the mean
Step 3: Square each deviation from the mean
Step 4: Find the sum of squares
Step 5: Apply the formula
[tex]SD = \sqrt{\dfrac{\sum(x_i-\bar{x})^2}{n}}[/tex]
The data set that is given to us is {1, 4, 2, 2, 8, 7, 3}, now use the steps to calculate the standard deviation.
Step 1: Find the mean
The mean of the given data set can be written as,
[tex]Mean, \mu=\dfrac{1+4+2+2+8+7+3}{7} = 3.857[/tex]
Step 2: Find each score’s deviation from the mean
1 - 3.857 = -2.857
4 - 3.857 = 0.143
2 - 3.857= -1.857
2 - 3.857= -1.857
8 - 3.857 = 4.143
7 - 3.857 = 3.143
3 - 3.857 = -0.857
Step 3: Square each deviation from the mean
-2.857² = 8.162
0.143² = 0.02
-1.857² = 3.447
-1.857² = 3.447
4.143² = 17.165
3.143² = 9.877
-0.857²= 0.735
Step 4: Find the sum of squares
8.162+0.20+3.447+3.447+17.165+9.877+0.735 = 42.857
Step 5: Apply the formula
[tex]SD = \sqrt{\dfrac{\sum(x_i-\bar{x})^2}{n}}\\\\SD = \sqrt{\dfrac{42.857}{7}} \\\\SD= 2.474[/tex]
Hence, the standard deviation of the data set is 2.474.
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The prism shown has a volume of 35cm³
Work out h, the height of the triangular cross section.
Answer:
h = 2.5 cm
Step-by-step explanation:
the volume (V) of a prism is calculated as
V = Al ( A is the area of triangular base and l the length )
A = [tex]\frac{1}{2}[/tex] bh = [tex]\frac{1}{2}[/tex] × 4 × h = 2h and l = 7
given V = 35 , then
2h × 7 = 35
14h = 35 ( divide both sides by 14 )
h = 2.5 cm
500g to 2kg in fraction
Answer:
1∶ 4
explanation
Sarah hit the ball 3 times out of the 8 times. What is the experimental probability (as a percent) that she will hit the ball next? A 22.5% B 37.5% 45% 3% asap
Answer:
B
Step-by-step explanation:
3/8 is equal to 0.375, also known as 37.5%.
The experimental probability (as a percent) that she will hit the ball next is 37.5%. Hence, option B is the right choice.
What do we mean by the experimental probability of an event?The experimental probability of an event occurring is the number of times it happened during the experiment as a ratio to the number of times the experiment was run.
How do we solve the given question?In the question, we are given that Sarah hit the ball 3 times out of the 8 times.
We are asked to find the experimental probability (as a percent) that she will hit the ball next.
As we know, the experimental probability of an event occurring is the number of times it happened during the experiment as a ratio to the number of times the experiment was run.
∴ The experimental probability = The number of times Sarah hit the ball/The number of times she experimented = 3/8
or, The experimental probability = (3/8)*100 % = (3*25)/2 % = 75/2 % = 37.5%.
∴ The experimental probability (as a percent) that she will hit the ball next is 37.5%. Hence, option B is the right choice.
Learn more about the experimental probability at
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What property can solve 2x-2+2=12+2
Answer:
7Step-by-step explanation:
2x-2+2=12+2
= 2x+0=14
= 2x=14
= X=14÷2
= X=7
Thank you ☺️☺️☺️☺️
Please solve this equation.
Answer:
1/3
Step-by-step explanation:
5/6 - 1/2
note that you could also write 1/2 as 3/6 since when divided you get half once again .
5/6- 3/6 = (5-3)/6= 2/6 = 1/3
Answer:
The answer is
[tex] \huge \frac{1}{3} [/tex]
Step-by-step explanation:
[tex] \frac{5}{6} - \frac{1}{2} \\ [/tex]
To solve this first find the common denominator
From the question the common denominator is 6
So we have
[tex] \frac{5}{6} - \frac{1}{2} = \frac{5 - 3}{6} = \frac{2}{6} = \frac{1}{3} \\ [/tex]
We have the final answer as
[tex] \frac{1}{3} \\ [/tex]
Hope this helps you
Suppose y varies directly as x, and y = 10 when x = 25. Find y when x = 18.
Answer:
y = 7.2
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 10 when x = 25, then
10 = 25k ( divide both sides by 25 )
[tex]\frac{10}{25}[/tex] = 0.4 = k
y = 0.4x ← equation of variation
When x = 18, then
y = 0.4 × 18 = 7.2
Trina is saving to buy a new phone. She has two options. The first option is to put $400 away initially and save $20 every month. The second option is to put $100 away initially and save $40 every month. After how many months, m, would Trina save the same amount using either option? How much would she save with either option? Write and solve an equation to show your work.
Total amount saved in 1st case :
[tex]S_1=400+20t_1[/tex]
Total amount saved in 2nd case :
[tex]S_2=100+40t_2[/tex]
( Here [tex]t_1 \ and\ t_2[/tex] are number of months )
Let, after x months the amount saved in both cases is same.
So,
[tex]S_2=S_1\\\\100+40x=400+20x\\\\20x = 300\\\\x = 15\ months[/tex]
Amount saved :
[tex]S_1=400+20(15) =\$ 700[/tex]
[tex]S_2=100+40( 15)= \$700[/tex]
Hence, this is the required solution.
This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information. If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base? This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information. If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?
Answer:
[tex]12.6 + b = 15.7[/tex]
[tex]b = 3.1[/tex]
Step-by-step explanation:
Given
[tex]Perimeter: 2a + b = 15.7[/tex]
[tex]a = 6.3[/tex]
Required
Which equation models b
Substitute 6.3 for a
[tex]2a + b = 15.7[/tex] becomes
[tex]2 * 6.3 + b = 15.7[/tex]
[tex]12.6 + b = 15.7[/tex]
Solve for b
[tex]b = 15.7 - 12.6[/tex]
[tex]b = 3.1[/tex]
Answer:
12.6 + b = 15.7
Step-by-step explanation:
(3/8 + 1/3) + 5/8 find the sum
Answer:
1 1/3
Step-by-step explanation:
Find the LCD of all of the fractions.
(9/24 + 8/24) + 15/24
Start by adding the parenthesis.
17/24 + 15/24
Add the remaining fractions.
32/24
Simplify the improper fraction.
1 8/24
Make the fraction into simplest form.
1 1/3
While in transit, the antitoxin had to stay between 36ºF and 46ºF. The dogsled teams stopped along the route often to warm the antitoxin by a fire to prevent it from freezing. A range of how many degrees Fahrenheit was ideal for the antitoxin?
Find the volume of this object use 3 for pi
Answer:
The volume of the circle is 21
Step-by-step explanation:
The volume of rectangular is 60
Decrease £16855.21 by 13.5%
Give your answer rounded to 2 DP.
Answer:
14,579.76
Step-by-step explanation:
New value =
16,855.21 - Percentage decrease =
16,855.21 - (13.5% × 16,855.21) =
16,855.21 - 13.5% × 16,855.21 =
(1 - 13.5%) × 16,855.21 =
(100% - 13.5%) × 16,855.21 =
86.5% × 16,855.21 =
86.5 ÷ 100 × 16,855.21 =
86.5 × 16,855.21 ÷ 100 =
1,457,975.665 ÷ 100 =
14,579.75665 ≈
14,579.76
A car dealership paid $9,000 for a car. The sticker price is $10,395 for a customer to buy the car. a. What’s the markup in dollars? b. By what percent is the markup?
Answer:
1) To determine how much the change of $9,000 to $10,395, we must subtract 9,000 from 10,395;
10,395 - 9,000 = $1,395 is the change in price (an increase).
Formula to find percentage of change;
Change in price/original amount x 100% (100/100)
Replace those values:
1,935 (change in price/increase) 100
_____ x _____ = %0.215
9,000(original amount) 100
please help for a cookie
Answer:
C) (0, 2)
Step-by-step explanation:
The y-intercept is the y value when x = 0.
Another way to reword that is when the graph crosses the y-axis.
We see from the graph that it crosses the y-axis at 2. Therefore, our y-intercept is (0, 2).
Alexis is drawing jolly ranchers from two bags the fist bag has 4 red 2 green and one blue the second bag has 4 red and 2 orange what is the probability that he would choose a purple jolly rancher from the first bag and a red jolly rancher from the second
Answer and explanation:
The two events of choosing jolly ranchers from each bag, first and second are independent events so the probability of first event AND second event will be multiplied
First bag has 4 red 2 green and one blue
Second bag has 4 red and 2 orange
what is the probability that he would choose a purple jolly rancher from the first bag and a red jolly rancher from the second
Probability = number of favourable outcomes /total number of favourable outcomes
The first bag does not have a purple jolly rancher and so probability is zero
the second bag's probability of choosing a red jolly rancher =4/6
probability of choosing a purple jolly rancher from first bag and red jolly rancher from second bag
=0*4/6=0
Answer=0
What value of x is in the solution set of 2x - 3> 11 - 5x?
A. -3
B. 0
C. 2
D. 4
Answer:
The answer is D : 4.
Step-by-step explanation:
=2x-3>11-5x
=2x-3+5x>11
=7x-3>11
=7x>11+3
=7x>14
=7x/7>14/7
=x>2
By simplifying the problem, you can see that "x" must be greater than 2. Therefore, eliminating all other possible answers that are shown, but 4.
I answered the same questions with the same exact wording and explanation so please don't report any answers that are the same as this one, they are all mine and written by me.
okays here's the question
Answer:
12
Step-by-step explanation:
Please someone help me solve c no.
Answer:
Step-by-step explanation:
Someone please help me on this I’m stuck
A store offers a loan for $900 to buy a computer. The terms of the loan
are for 9% simple interest and equal monthly payments for three years.
What is the monthly payment?
O $1143
O $700
o $31.75
o $92.50
Answer:
(c) $31.75
Step-by-step explanation:
First of all, you need to use some number sense to estimate an answer.
If the $900 loan had no interest, 1/3 of it would be paid off in each of the 3 years, or about $300 each year. You will be making 12 monthly payments each year, so the amount of principal being paid with each payment is $300/12 = $25. Any answer much above this amount will not make sense, so you can immediately reject all choices except $31.75.
__
The simple interest on the loan is ...
I = Prt = $900×0.09×3 = $243
That, too, is divided among the 36 payments, so adds ...
$243/36 = $6.75 to each of the $25 payments we calculated above.
The monthly payment is ...
$25 +6.75 = $31.75
Cube of -1 Who ever gets it will mark Brainlist
Answer:
-1
Step-by-step explanation:
(-1) ^3
-1*-1*-1
1 * -1
-1
Answer:
-1
Step-by-step explanation:
Cube of -1:
-1 × -1× -1= -1
Guys I need help and like super fast, I don’t know what to dooooooooo
Answer:
translation
i just got done learning about this a couple of weeks ago
Dilate the figure below with a scale factor of 1.5 centered at the origin and then rotate the figure 90° clockwise about the origin.
Answer:
Step-by-step explanation:
Vertices of the quadrilateral are (-4, 1), (-3, 2), (-1, 2) and (-2, 1).
If the given quadrilateral is dilated by ta scale factor of 1.5 about the origin.
Rule for the dilation,
(x, y) → (kx, ky) [k = scale factor]
New vertices of the quadrilateral after the transformation will be,
(-4, 1) → (1.5×4, 1.5×1)
→ (-6, 1.5)
(-3, 2) → (-4.5, 3)
(-1, 2) → (-1.5, 3)
(-2, 1) → (-3, 1.5)
Now the new points are rotated by 90° clockwise about the origin,
Rule for the rotation of the points,
(x, y) → (y, -x)
So the new vertices will be,
(-6, 1.5) → (1.5, 6)
(-4.5, 3) → (3, 4.5)
(-1.5, 3) → (3, 1.5)
(-3, 1.5) → (1.5, 3)
We can plot these points on the graph to form a new (image) quadrilateral.
You surveyed 82 students in your grade and found that twenty-three have 2 brothers and twenty-eight have 1 brother. Nine students are only children, ten have only 1 sister, seven have only 1 brother, six have 2 sisters and i brother, twenty-two have 2 sisters, twenty-seven have no sisters, and eight have 1 sister and 2 brothers. Make a two-way frequency table of the given information.
A two-way frequency table for these 82 students is shown in the table attached below.
What is a two-way frequency table?A two-way frequency table can be defined as a table that is used for the graphical representation of frequencies or relative frequencies that are associated with two (2) categorical variables.
This ultimately implies that, a two-way frequency table is mainly used to show, analyze, and examine the relationships between two (2) categorical variables.
Generally, one of the two (2) categorical variables is represented by rows while the other is represented by columns.
Read more on two-way frequency here: https://brainly.com/question/20744563
A high school choir had a car wash to raise money. The number of trucks washed was 2 fewer than half the total number of cars and SUVs washed. They washed twice as many cars as trucks. They washed a total of 28 trucks and cars and SUVs. Let T = the number of trucks, C = the number of cars, and S = the number of SUVs washed. Which ordered triple, (T, C, S) represents the solution to the system below? Verify your answer fully in the box provided.
Answer:
Number of trucks = 28
Number of cars = 14
Number of SUVs = 46
Total number of vehicles = 88
Step-by-step explanation:
Let T = the number of trucks, C = the number of cars, and S = the number of SUVs washed.
We are told :
They washed twice as many cars as trucks.
Hence: T = 2C
They washed a total of 28 trucks and cars and SUVs
Number of trucks = 28
Number of Cars =
T= 2 C
C = T/2
C = 28/2
C = 14
The number of trucks washed was 2 fewer than half the total number of cars and SUVs washed.
T = 1/2(C + S) - 2
T = 28
C = 14
Hence:
28 = 1/2(14 + S) - 2
28 = 1/2(14) + 1/2(S) - 2
28 = 7 - 2 +S/2
28 - 7 + 2 = S/2
30 - 7 = S/2
23 = S/2
S = 23 × 2
S = 46
Hence, number of SUVs = 46
Total number of vehicles = 28 + 14 + 46
= 88
Which expression has the same meaning as n 3/8?
Answer:
I think its the one on the bottom right
Step-by-step explanation:
Answer:
bottom right is the answer i think
1. Find the surface area of the sphere below.
od
2 ft
store
Answer:
50.24ftt²
Step-by-step explanation:
surface area of sphere=4πr²
solution
4*3.14*2*2
=50.24ftt²
Use the long division method to find the result when 6x^2 + 26x^2 + 23x + 5 is divided by 3x + 1. explain all steps
Dividing 6x^2 + 26x^2 + 23x + 5 by 3x + 1 using the long division involves the use of groups or parts
The result when 6x^2 + 26x^2 + 23x + 5 is divided by 3x + 1 is 2x^2 + 8x + 5 with no remainder
How to carry out the long division?The dividend is given as:
6x^2 + 26x^2 + 23x + 5
And the divisor is 3x + 1
Step 1:Divide 6x^3 by 3x:
Result = 2x^2
Multiply 2x^2 by 3x + 1
=> 6x^3 + 2x^2
Subtract 6x^3 + 2x^2 from 6x^3 + 26x^2 + 23x + 5
=> 24x^2 + 23x + 5
Step 2:Divide 24x^2 by 3x:
Result = 8x
Multiply 8x by 3x + 1
=> 24x^2 + 8x
Subtract 24x^2 + 8x from 24x^2 + 23x + 5
=> 15x + 5
Step 3:Divide 15x by 3x:
Result = 5
Multiply 5 by 3x + 1
=> 15x + 5
Subtract 15x + 5 from 15x + 5
=> 0
Write out the sum of the results
Result = 2x^2 + 8x + 5
Hence, the result when 6x^2 + 26x^2 + 23x + 5 is divided by 3x + 1 is 2x^2 + 8x + 5 with no remainder
See attachment for the long division process
Read more about long division at:
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2
,
000
pencils are being divided into packages of 15. How many pencils will be left over?
Answer: 5 pencils left over
Step-by-step explanation:so 133 times 15 is 1995 and you can’t add 15 more to that so you’ll have 5 left over
Answer:
133
Step-by-step explanation:
15% discount off of $35.
Original:
Discount:
New price
Plz help
Answer:
It $29.75
Step-by-step explanation:
Answer:
Orignal Price: $35
Discount Price: $29.75
Step-by-step explanation:
The original price is $35 since it says 15% off of $35. To get the discount price you would use the equation 35-15%, which would give you $29.75. Your new price is $29.75.
Hope this is what you were looking for. :D