Answer:
6
Step-by-step explanation:
22 = 3x+4
subtract 4 from both sides
18 = 3x
divide both sides by 3
6 = x
Many states assess the skills of their students in various grades. One of the tests provided by a national association assesses the reading skills of 12th-grade students. In a recent year, the national mean score was 286 and the standard deviation was 38. Assuming that these scores are approximately Normally distributed, N(286, 38), use the 68-95-99.7 rule to give a range of scores that includes 95% of these students.
Answer:
95% of these scores are between 210 and 362.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 286, Standard deviation = 38
Use the 68-95-99.7 rule to give a range of scores that includes 95% of these students.
This is within 2 standard deviations of the mean. So
286 - 2*38 = 286 - 76 = 210
286 + 2*38 = 286 + 76 = 362
95% of these scores are between 210 and 362.
PLS HELP. Find the value of each variable.
6. x=100
7.x=75
8.x=30
10.x=112
11.x=58 y=58
Answer:
6) x = 70°
7) x = 75°
8) x = 30°
10) x = 112°
11) x = 58° , y = 58°
Step-by-step explanation:
6) two congruent sides means two congruent angles
x + x + 40 = 180 2x = 140
7) two congruent sides means two congruent angles
both base angles measure 75 degrees
8) isosceles triangle (has two equal sides) 75(2) + x = 180 150 + x = 180
10) two congruent angles means two congruent sides
44 + 2n = 180 2n = 136 n = 68
angles n and x form a linear pair and equal 180
180 - 68 = 112
11) isosceles triangle so ∡x = ∡y 64 + x + x = 180
64 + 2x = 180 2x = 116 x = 58
What is the line of symnmetry for the function y = x2 – 2x + 6
Answer:
Replace x with −x and y with −y
to check if there is the x-axis, y-axis, or origin symmetry.
Not symmetric to the x-axis
Not symmetric to the y-axis
Not symmetric to the origin
but
Find the axis of symmetry-
x=1
Step-by-step explanation:
Can someone help me find x ?
Answer:
x = 15
Step-by-step explanation:
Apply the keg rule to find x. The keg rule is given as:
Hypotenuse / leg = leg / part of the hypotenuse directly under the leg
Hypotenuse = 25
Leg = x
Part of the hypotenuse directly under the leg = 25 - 16 = 9
Plug in the values
25/x = x/9
Cross multiply
x*x = 25*9
x² = 225
x = √225
x = 15
A petri dish has 10, 000 bacteria in it. After 4 hours the bacteria’s population increased to 20,000. If the number of colonies grows exponentially, write a formula for the number of bacteria in the dish at any time t, where t is in hours
Answer:
[tex]P(t) = 10000e^{0.1733t}[/tex]
Step-by-step explanation:
The population of bacteria grows exponentially, which means that it can be represented by a function in the following format:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate.
A petri dish has 10, 000 bacteria in it.
This means that [tex]P(0) = 10000[/tex]. So
[tex]P(t) = 10000e^{rt}[/tex]
After 4 hours the bacteria’s population increased to 20,000.
This means that [tex]P(4) = 20000[/tex], and we use this to find the growth rate. So
[tex]P(t) = 10000e^{rt}[/tex]
[tex]20000 = 10000e^{4r}[/tex]
[tex]e^{4r} = \frac{20000}{10000}[/tex]
[tex]e^{4r} = 2[/tex]
[tex]\ln{e^{4r}} = \ln{2}[/tex]
[tex]4r = \ln{2}[/tex]
[tex]r = \frac{\ln{2}}{4}[/tex]
[tex]r = 0.1733[/tex]
So, the formula is given by:
[tex]P(t) = 10000e^{0.1733t}[/tex]
Please help me I’ll give you brainliest
look at angle uvy and angle yvw in the image below which the following is the best description for this pair of angles
guys help i dont know this Find the value of the expression 2x – 3y + 4z, if x = 10, y = -12 and z = 11.
Answer:
100 answer is correct
Step-by-step explanation:
2×10-3×-12+4×11
20+36+44
100 answer is correct
Step-by-step explanation:
2x-3y+4z
x=10
y=12
z=11
2(10)-3(-12)+4(11)
20+36+44
and the answer is 100
(made a lot of mistakes so edited answer!)
good day :)
The table shows the number of books, by type, checked out from the school library on Monday.
Book Checkout
Book Type Number of Books
mystery
24
nonfiction
18
adventure
12
humor
16
Part A: Which statement is true?
O For every 3 mystery books checked out, 4 nonfiction books were checked out.
O For every 3 mystery books checked out, 6 nonfiction books were checked out.
O For every 4 mystery books checked out, 3 nonfiction books were checked out.
O For every 6 mystery books checked out, 3 nonfiction books were checked out.
The statement i.e. true is For every 4 mystery books checked out, 3 nonfiction books are checked out.
Calculation of the ratio:Here first determine the ratio of nonfiction books to mystery books
So, it should be like
= 18:24
= 6:8
= 3:4
So based on the above calculations we can say that The statement i.e. true is For every 4 mystery books checked out, 3 nonfiction books are checked out.
Learn more about ratio here: https://brainly.com/question/5102566
Can someone please answer 1 for me? Whoever can answer gets brainliest
Find the slope of the line. The slope of the line is
Answer: The slope of the line is [tex]\frac{3}{4}.[/tex]
Step-by-step explanation: I use the slope formula to find the slope of the line given the graph image below that looks like this:[tex]\frac{Rise}{Run}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}.[/tex]
The rise of the points is 3 points and the run of the points is 4 points.
Now I can put it in another slope formula that looks like this: [tex]\frac{3-0}{2-(-2)}=\frac{3}{4}.[/tex]
I hoped my answer was found very helpful to your own question and have more understanding and happy Halloween! :D
Sincerely,
Jason Ta
The Helping Hand of Brainly And The Role Of The TDSB and WHCI Student.
One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a
triangle is 52 feet. Find the length of each side.
Provide your answer below:
Answer:
Step-by-step explanation:
lets have one side =a
P=3a+a+(17+a)=52
P=5a+17=52
5a=52-17
5a=35
a=7
second side=21
third side=24
At the same time of day, a tree and a flagpole cast shadows as shown below.
How tall is the tree?
Answer:
16 feet
Step-by-step explanation:
Height of tree = [tex]\frac{20}{15}[/tex] × 12ft
= 16ft
Elizabeth practices the piano 1470 minutes in 5 weeks. If t represents the total time she practices for any number of days, d, write a proportional equation for t in terms of d that matches the context.
Using proportions, it is found that the proportional equation for t in terms of d that matches the context is:
[tex]t = 42d[/tex]
Elizabeth practices the piano 1470 minutes in 5 weeks, hence, each day, consdering a week has 7 days, the amount of time she practices is:
[tex]a = \frac{1470}{35} = 42[/tex]
Hence, the proportional equation, considering t the time in minutes and d the number of days, is:
[tex]t = 42d[/tex]
You can learn more about proportions at https://brainly.com/question/24372153
Can someone help me with this problem pls
Which of the following values of t will result in a true statement when substituted into the given equation?
1/2 t-4(2+t)=20
A. t = 8
B. t = -8
C. t = 11
D. t = -12
Answer:
c
Step-by-step explanation:
HELP ASAPPPP I WILL GIVE BRAINLIEST
Answer:
It would be B
Step-by-step explanation:
If she is using the algebra tiles and added the 4 to both sides instead of subtracting, it would give you 2x=14 which then you would divide by 2 and get 7. Making the answer B
At the beginning of a snowstorm, Leah had 7 inches of snow on her lawn. The snow then began to fall at a constant rate of 1 inch per hour. Assuming no snow was melting, how much snow would Leah have on her lawn 3 hours after the snow began to fall? How much snow would Leah have on her lawn after tt hours of snow falling?
Answer:
10 inches
Step-by-step explanation:
How many words per minute can Shania type? words per minutes
Answer:
57
Step-by-step explanation:
eliana is coolll
How many pounds are in 24 ounces?
A. 1/2
B. 1
C. 1 1 /2
D. 2
Answer:
C is the answer
Step-by-step explanation:
Answer:
1.5 pounds so option c
Step-by-step explanation:
I hope this helps with your problem :)
PLEASE I REALLY NEED HELP I OFFER 15 POINTS
Answer:
-5=25 ------>x= -5
[tex]\frac{x}{5}[/tex]= -5 --------> x=-25
-1.2x=-6 --------> x=5
[tex]\frac{x}{0.5}[/tex] = 50 ---------> x=25
Brainliest would be nice!Please help me again!!!!!!!!
Answer:
Huan receives 3.33 pounds (£) every week
Step-by-step explanation:
We can calculate this by dividing the amount for 5 weeks and dividing by 5 to find the amount of pocket money for each week. 16.65/5 = 3.33, which means that he receives 3.33 pounds (£) every week for pocket money.
Answer:
Huan gets 3.33 every week
Which rule describes the translation?
y
5
B
С
O(x, y) - (x -8, y - 3)
O(x, y) = (x - 3, y + 8)
(x, y) + (x + 8, Y-3)
O (x, y) = (x + 3y + 8)
B'
C'
A
-5
D
A'
D'
Answer:
(x,y) -> (x + 8, y - 3)
Step-by-step explanation:
Move any point to the right 8 units, and down 3 units. You are just translating the shape, not dilating, reflecting, or rotating it.
A water tank is 90 m long and 60 m wide. What is the
volume of the water in the tank if the depth of water is
40 m?
What’s the answer ??
Answer:
216000 m^3
Step-by-step explanation:
Volume of water
= length of tank x width of tank x depth of water
= 90(60)(40) m^3
= 216000 m^3
Find the area of the shaded region.
Answer:
42.14
Step-by-step explanation:
First find the area of the square:
14x14=196
Then find the area of the circle:
It has a diameter of 14 so divide it by 2 to get the radius.
Then use the formula πr²
7²=49
49x3.14=153.86
Then subtract
196-153.86=42.14
Is this graph and example of a sin or cos graph?
Answer:
Sine
I think
Step-by-step explanation:
The graph of the cosine is the darker curve; note how it's shifted to the left of the sine curve. The graphs of y = sin x and y = cos x on the same axes. . .. You probably noticed that these cofunction identities all use the difference of angles, but the slide of the sine function to the left was a sum.
The sine of the angle = the length of the opposite side. the length of the hypotenuse.
The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
The tangent of the angle = the length of the opposite side. the length of the adjacent side.
Translate the verbal expression: Six times a number yields 48.
six times eight equals fourtyeight
6x8=48
The verbal expression six times a number yields 48 is translated as, 6×8=48. As a result, the number is 8.
What is an expression?It is defined as the combination of constants and variables with mathematical operators. A mathematical situation can be expressed verbally as a condensed version. It describes the connections and operations that take place between quantities.
It is given that the verbal expression is six times a number yields 48.
Suppose the number is x,
A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
The expression is translated as,
6×8=48
Thus, the verbal expression six times a number yields 48 is translated as, 6×8=48. As a result, the number is 8.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ6
Please help I’ll mark you as brainliest if correct!!!
Answer:
First is correct
Second is perimeter
Why? Because perimeter is the surounding part
Answer:
The first one is correct the second one is Perimeter
Step-by-step explanation:
Hope this Helps! :)
Estimate the product
A)Close to 40
B)Close to 004
C)Close to 0.4
D)Close to 4
Answer:
D) Close to 4
Step-by-step explanation:
Round both numbers and multiply them.
Use the fractions 36in./1yd and 2.54 cm/1 in convert 3yd to cm