Answer:
x = 5
Step-by-step explanation:
x^2 +2 = 27
x^2 = 27 - 2
x^2 = 25
x = [tex]\sqrt{25\\\\}[/tex]
x = 5
Answer: x equals 5
Step-by-step explanation:
27 minus 2 is 25, the square root of 25 is five.
Partit: Write an equation to represent the amount of money Shelly has in her account each week. Let
w represent the number of weeks Shelly deposits money into her savings account and m represent the
amount of money in her account,
1:A. Define the variables. (2 points: 1 point each)
Let w:?
Let m:?
2:B. Write an equation to represent the amount of money Shelly has in her account each week. Hint
Remember that Shelly started with $220 in the a
Answer:
Step-by-step explanation:
1) Let w represent the number of weeks and m represent the amount of money that she has in her account after w weeks. Assuming m is increasing at a linear rate. This means that it is increasing in arithmetic progression. The formula for determining the nth term of an arithmetic progression is expressed as
Tn = a + (n - 1)d
Where
d represents common difference in the amount between 2 consecutive weeks.
a = 220 represents the first term of the sequence.
Tn = w = the amount at the end of n weeks
n = m represents the number of weeks
2) The equation used to represent the amount of money Shelly has in her account each week is
w = 220 + (w - 1)d
Skyler goes to a school which has 100 students in it. She asks 40 random students whether they like the new 8.30 am start to the day. 30 of them say no they don't like it. Use this information to estimate how many students in the whole school dislike the 8.30 am start.
Answer: 75 students
Step-by-step explanation:
Skyler goes to a school that has 100 students in it. She asks 40 random students if they like the new 8.30 am start to the day and 30 of them say no they don't like it. This shows that: 30/40 = 3/4 of the students don't like it.
Since the school has 100 students, the number of students that doesn't like the 8.30 a.m start will be:
= 3/4 of 100
= 3/4 × 100
= 3 × 25
= 75
A man bought a mobile phone for $800 and sold it for $1000. What was his profit as a percentage of the cost price
Answer:
1000/800 = 125% profit
Answer:
25%
Step-by-step explanation:
Profit = Selling price - Cost price
= 1000 - 800
= $200
%Profit = Profit
_____. × 100. ( profit over cost price times 100)
Cost Price
= 200
____. × 100%
800
= 25%
Find the area of the shape shown below.
9
3
3
units?
Answer:
81
Step-by-step explanation:
9 x 3 x 3 is 81
Answer:
18
Step-by-step explanation:
Area=3x3=9 units
9+9=18
What is the vertex of the quadratic function f(x) = (x-8)(x - 2)?
Answer:
The vertex is at (5, -9)
Step-by-step explanation:
The vertex is halfway between the zeros
f(x) = (x-8)(x - 2)
0 = (x-8)(x - 2)
x=8 and x=2 are the two zeros
(8+2)/2 = 10/2 = 5
The x coordinate is at 5
The y coordinate is found by substituting the x coordinate into the function
f(5) = (5-8)(5 - 2) = -3 (3) = -9
The vertex is at (5, -9)
Natalia bought 3/4 of a pound of flour to bake some cookies. She used 2/3 of that amount to bake her delicious chocolate chip cookies. How many pounds of flour did she used
Answer:0.5 Pound
Step-by-step explanation:
Given
Natalia bought [tex]\frac{3}{4}[/tex] of a pound of flour to bake cookies
She used [tex]\frac{2}{3}[/tex] of it
i.e. She use [tex]\frac{2}{3}\ of\ \frac{3}{4}\ \text{Pound}[/tex]
[tex]=\frac{2}{3}\times \frac{3}{4}[/tex]
[tex]=\frac{1}{2}\ \text{Pound}[/tex]
So she used [tex]\frac{1}{2}\ \text{Pound}[/tex] of flour.
Suppose the scores on a test given to all juniors in a school district are normally distributed with a mean of 74 and a standard deviation of 8. On a separate sheet of paper, draw a Normal Curve and label the mean, standard deviations, and the associated percentages. Find the percent of juniors who score no more than 90.
PLEASE HELP AHHHH
Answer:
97.5%
Step-by-step explanation:
Solution:-
- Denote a random variable,
X: Scores of all juniors in a school district centralized test.
- The random variable ( X ) follows normal distribution with the corresponding parameters:
X ~ Norm ( μ , σ^2 )
Where, μ = Mean score
σ = standard deviation of scores secured
- The given parameters for the normal distribution are:
X ~ Norm ( 74 , 8^2 )
- To draw a Normal curve we need to draw a bell shaped curve and annotate the following descriptions:
Mean ( μ ) : The vertical center-line that bifurcates the normal curve
1st standard deviation ( μ ± σ ) : First small division to the left and right about the mean ( μ ). [ 74 - 8 , 74 + 8 ] = [ 66 , 82 ]
2nd standard deviation ( μ ± 2σ ) : Second small division to the left and right about the mean ( μ ). [ 74 - 16 , 74 + 16 ] = [ 58 , 90 ]
3rd standard deviation ( μ ± 3σ ) : Third small division to the left and right about the mean ( μ ) - tailed. [ 74 - 24 , 74 + 24 ] = [ 50 , 98 ]
- Mark the associated percentage of scores that lies between 1st, 2nd and 3rd standard deviations from the mean ( μ ). Apply the Empirical rule of statistics. Which states:
p ( μ - σ , μ + σ ) = p ( 66 , 82 ) = 67 %
p ( μ - 2σ , μ + 2σ ) = p ( 58 , 90 ) = 95 %
p ( μ - 3σ , μ + 3σ ) = p ( 50 , 98 ) = 99.7 %
- See the attachment for the complete diagram.
- To determine the percentage of students who scored no more than 90 on the test.
- Employ the use of standardizing the required probability by using the following relation:
p ( X < x ) = p ( Z < [ (x - μ) / σ ] )
p ( X < 90 ) = p ( Z < [ (90 - 74) / 8 ] )
= p ( Z < [ (90 - 74) / 8 ] )
= p ( Z < 2 )
- We will employ the use of Empirical rule of second deviation ( μ ± 2σ ) to evaluate the required percentage:
p ( μ - 2σ < X < μ + 2σ ) = p ( 58 , 90 ) = 95 %
1 - p ( 58 < X < 90 ) = 1 - 0.95 = 0.05
p ( X > μ + 2σ ) = p ( X > 90 ) = [ 1 - p ( 58 < X < 90 ) ] / 2
= [ 1 - 0.95 ] / 2
= 0.05 / 2
= 0.025
Hence,
p ( X < 90 ) = p ( Z < 2 ) = 1 - p ( X > 90 )
= 1 - 0.025
Answer = 0.975 ( 97.5 )%
Compute probability of randomly selected 5 cards from deck of 52 cards and getting only one Jack.
Answer:
5/25
Step-by-step explanation:
Probability would be that you randomly select 5 cards so the selection goes above the fraction and the total amout of cards goes below.
Answer:
3243 / 10829 ≈ 0.2995
Step-by-step explanation:
There are 52 cards in a deck. 5 cards are selected, so the number of possible combinations is ₅₂C₅.
Of the 5 cards selected, 1 is a Jack and 4 are non-Jacks.
There are 4 Jacks in a deck. The number of ways of choosing 1 Jack from 4 is ₄C₁.
There are 48 non-Jacks in a deck. The number of ways of choosing 4 non-Jacks from 48 is ₄₈C₄.
So the probability is:
P = ₄C₁ ₄₈C₄ / ₅₂C₅
P = 4 × 194580 / 2598960
P = 778320 / 2598960
P = 3243 / 10829
P ≈ 0.2995
What are complementary angles
Answer:
Complementary angles are two angles that add up to 90° in total measurement.
Example:
Angle 1 is 34°. It's complement would be 56°.
[tex]90 -34=56[/tex]
Brainilest Appreciated.
*EASY 7TH GRADE MATH*
QUESTION ABOVE
• First answer shall be marked brainliest •
Find the surface area of the prism.
Answer:
2880
Step-by-step explanation:
The base is made up of two triangles and a square, if that makes sense. Finding the area of a triangle is (base x height)/2.
The base of the tiny triangle is 4 because there is 8 inches extra to the 10 inch square. 10 x 4 = 40.
Now we have a 10 by 10 square: 10 x 10 = 100.
So, the area of the trapezoid is 140. There are two trapezoids in this prism, so both bases are 280.
The surface area of the sides are solved by 12 x 50 = 600. Together, the sides equal 1200.
The top is solved by 10 x 50 = 500.
The bottom is solved by 18 x 50 = 900.
Add them all together: 280 + 1200 + 500 + 900 = 2,880
Shawna rented a bike from Arjun's Bikes. It cost $14 plus $3 per hour. If Shawna paid $32 then she rented the bike for how many hours?
Answers
1.9 hours
Step-by-step explanation:
14 plus 3 = 17
32 divide by 17 = 1.9 hours
1 hour 0.9 multiply by 60
1.9= 1 hour 54 minutes
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
As the picture I uploaded, the area is divided into 1 triangle and 2 rectangles.
Add up the area of these figures, we have the total area:
A = area of triangle + area of 2 rectangles.
= 11 x (3 + 5 + 13 -10)/2 + 4 x 5 + 12 x 13
= 236.5 (mm2)
Hope this helps!
:)
Answer:
236.5 mm^2.
Step-by-step explanation:
We can split this up into 2 rectangles:
1 rectangle = 8 * 13 = 104mm^2
2nd rectangle = 4 * (13 + 5) = 4 *18 = 72 mm^2
The base of the triangle = 11mm ,
and the height = (3 + 5 + 13) - 10 = 21 - 10 = 11mm.
So it area = 1/2 * 11 * 11
= 60.5 mm^2.
total area = 104 + 72 + 60.5
= 236.5 mm^2.
PLZ HELP ME ASAP W THIS !!!
Answer:
(2x+3) x (x-7)
Step-by-step explanation:
Solve for x: −2x + 5 < 7 plz help!
Answer:
x>-1
Step-by-step explanation:
A tennis ball is thrown from the top of a building. The distance h, in feet, between the tennis ball and the ground, t seconds after it is thrown is given by h(t)=(-16t^2) +160t + 384. At what time is the tennis ball at the maximum height?
Answer:
The tennis ball reaches the maximum after 5secondsStep-by-step explanation:
If the distance h, in feet, between the tennis ball and the ground, t seconds after it is thrown is given by h(t)=(-16t^2) +160t + 384, at maximum height the velocity of the tennis ball will be zero.
Velocity is the rate of change of displacement of a body. If the distance is modeled by the equation h(t)=(-16t^2) +160t + 384 then its velocity will be gotten by taking the derivative with respect to time as shown;
V = dh/dt = -32t+160
at maximum height;
0 = -32t+160
32t = 160
t = 160/32
t = 5seconds
This means that the tennis ball reaches the maximum after 5seconds.
PLZ PLZ HELP! What is m XY?
A tree is 17 feet tall. The wire runs from the top of the tree to 8.7 feet from its base. The wire is Square root 338 feet long. Estimate the length of the wire to the nearest hundredth of a foot.
Answer: 18.38 feet
Step-by-step explanation:
Hi, to answer this question we simply have to solve the expression √338, which is the length of the wire.
Mathematically speaking:
√338 = 18.3847 feet
Since the number after the hundredths place is less than 5:
Length of the wire: 18.34 feet (rounded to the nearest hundredth)
Feel free to ask for more if needed or if you did not understand something.
Identify the end behavior of the function f(x) = -6x5 + 7x3 – 5x + 8.
Answer:
Use the degree and the leading coefficient to determine the behavior.
Rises to the left and falls to the right
Step-by-step explanation:
Michelle is on a road trip with her family and forgot her charger. At the start of the trip, her phone was at 100%. They are driving from Dallas to San Antonio which is a 4.5-hour drive. Her phone's battery life can be represented by y = -10x +100, where x is hours driving. What is the range of this situation?
Answer:
55 ≤ x ≤100
Step-by-step explanation:
Given the battery life equation: y = -10x +100 where x is hours driving
As we know that the maximum value of y = 100% when x= 0
<=> y ≤100
They are driving from Dallas to San Antonio which is a 4.5-hour drive.
=> x = 4.5 so we substitute x into the equation, we have:
y = -10*4.5 +100
<=> y = -45 + 100 = 55
Hence, the range of this situation is:
55 ≤ x ≤100
Hope it will find you well.
There is a sale on produce at the local supermarket. Strawberries are ½ price if you buy more than 45 ounces. The scale only measures in pounds. How many pounds would you have to buy to receive the discount
Answer:
3 pounds
Step-by-step explanation:
a pound is 16oz so 3x16=48
Calculate the perpendicular
height of the triangle
pls helppp!!
Step-by-step explanation:
there's the solution ...i hope you can read
If she used 3 ¾ cups of bread flour to make 1 pizza, what is ⅛ of the amount of bread flour she used?
Answer:
[tex]\frac{15}{32}[/tex] cups of bread flour.
Step-by-step explanation:
Multiply 3 [tex]\frac{3}{4}[/tex] by [tex]\frac{1}{8}[/tex]
[tex]\frac{1}{8} * 3 \frac{3}{4} = \frac{1}{8} *\frac{15}{4} =\frac{15}{32}[/tex]
La trayectoria de un cuerpo en movimiento rectilíneo está determinada por: s = 115t + 12t^3 en metros y segundos. Determina la aceleración del cuerpo a los 12 segundos de origen.
Answer:
a = 864 m/s^2
Step-by-step explanation:
You have the following equation for the motion of a body:
[tex]s(t)=115t+12t^3[/tex]
The acceleration of the body is given by the second derivative of s(t):
[tex]\frac{ds}{st}=115+12(3)t^2=115+36t^2\\\\\frac{d^2s}{dt^2}=\frac{d}{dt}\frac{ds}{dt}=36(2)t=72t\\\\a(t)=72t[/tex]
After t = 12 s you obtain for the acceleration:
[tex]a(t=12)=72(12)=864\frac{m}{s^2}[/tex]
hence, the acceleration is 864m/s^2 for t=12s
I don’t know what to do
Answer:
It means line which is chioce 3 or C.
Step-by-step explanation:
Answer:line DC
Step-by-step explanation:because of the line with an arrow on each side. This demonstrates that DC is an entire line
The mean Algebra 2 test score is 81.5, with a standard deviation of 5.1. There are 130 students taking the course. Assuming a normally distributed curve, how many students scored below 76.4?
Answer:
Step-by-step explanation:
Let x be the random variable representing the algebra test scores of the students. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 81.5
σ = 5.1
the probability that a student scores below 76.4 is expressed as
P(x ≤ 76.4)
For x = 76.4
z = (76.4 - 81.5)/5.1 = - 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.023
For x = 8
z = (8 - 6)/1 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.159
Therefore, the number of students that scored below 76.4 is
0.159 × 130 = 21 students
2 (5y-4)>32
Solve the inequality for y.
Answer:
y > 4
Step-by-step explanation:
2 (5y-4)>32
Divide each side by 2
2/2 (5y-4)>32/2
5y-4 > 16
Add 4 to each side
5y-4+4 > 16+4
5y > 20
Divide each side by 5
5y/5 > 20/5
y > 4
Step-by-step explanation:
2 (5y - 4) > 32
10y - 8 > 32 (by expanding)
10y> 32 + 8
10y> 40
Y > 40/10
Y=4
Hope this helps..
-13/20-7/5= enter the answer as an exact decimal or simplified fraction
Step-by-step explanation:
-13/20 = - 0.65
7/5 = 1.4
So
-0.65 - 1.4
= - 2.05
What system of inequalities is represented by the graph?
Answer:
y is greater than or equal to 0.5/2.5x-1/2
y is greater than -2x
Step-by-step explanation:
The spinner to the right is spun 20 times. It lands on red 6 times, yellow 2 times, green 8 times, and blue 4 times.
Based on the data, what is the experimental probability of landing on yellow?
You may give your answer as a simplified fraction, decimal, or percent.
Answer:
1/10 or 0.10 or 10%
Step-by-step explanation:
Based on the data given, the spinner landed on yellow 2 times out of the 20 times it was spun. Therefore, the experimental probability of landing on yellow, based on the data, is 2/20. If you simplify this, it is 1/10, which is 0.10 as a decimal and 10% as a percent.
Hope this helps! :)
Trigonometry. This is an Tangent question.
Answer:
28/21
Step-by-step explanation:
tan= opposite/adjacent