The probability when x is greater than 120 is 0.0367. Then the correct option is D.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The mean is 95 and the standard deviation is 14. Then the probability when x > 120 will be
The z-score will be
z = (120 - 95)/ 14
z = 1.7857
Then the probability will be
P(x > 120) = P(z > 1.7857)
P(x > 120) = 1 - P(x<120)
P(x > 120) = 1 - 0.96293
P(x > 120) = 0.0367
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Calculate the median of 4.6, 3, 8.1, 9, 12, 3, 9, 3.5 ,7 ,3?
Check the picture below.
1. Express 729 as a power of 3.
(a) 38 (b) 36 c) 9³ d) none of these
Answer:
Option C: 9³
Step-by-step explanation:
9 * 9 = 81
( 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 +9 )
81 * 9 = 729
( 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81)
What is the length of the missing leg? If necessary, round to the nearest tenth.
Answer:
3
Step-by-step explanation:
a²+6.1²=6.8²
a²+37.21=46.24
-37.21 -37.21
a² = 9.03
a = √9.03
a = 3
Bill walks 4 miles east, 5 miles north, and 7 miles west. How many miles is he, in a direct line, from his starting point?
Answer:
5.83 miles
Step-by-step explanation:
Bill's net distance west of his starting point is -4+7 = 3 miles. His net distance north of his starting point is 5 miles. The straight-line distance will be the hypotenuse of a right triangle with legs 3 miles and 5 miles. That distance is given by the Pythagorean theorem:
d² = (3 mi)² +(5 mi)² = 34 mi²
d = √34 mi ≈ 5.83 mi
Bill is 5.83 miles on a direct line from his starting point.
_____
The attached calculator screenshot shows the sum of the travel distances. The angles are bearings measured clockwise from north. The angle of the sum indicates Bill is about 31° west of north relative to his starting point.
What is the approximate area of the shaded sector in the circle shown below?
100°
c
18 cm
O A. 31.4 cm2 O B. 565 cm O C. 15.7 cm O D. 283 cm2
Answer:
C
Step-by-step explanation:
Formula to get the area
A = r^2π
A = 16^2π
A= 804.24 cm^2
As per the given data, the approximate area of the shaded sector is 283 square cm, which is option D.
What is area?Area is a measure of the amount of space inside a two-dimensional shape or a flat surface. It is typically measured in square units, such as square meters or square feet.
To find the area of the shaded sector, we need to first find the area of the whole circle, and then multiply it by the fraction of the circle that is shaded.
The area of a circle is given by the formula:
A = [tex]\pi r^2[/tex]
Where r is the radius of the circle. In this case, we are given that the radius of the circle is 18 cm, so we can substitute this value into the formula:
A = [tex]\pi 18^2[/tex]
A = 324π
So, the area of the whole circle is 324π square cm.
The shaded sector has a central angle of 100 degrees, which is a fraction of the total central angle of 360 degrees. So, the fraction of the circle that is shaded is:
100° / 360° = 5/18
Therefore, the area of the shaded sector is:
A = (5/18) * 324π
A = 90π
Using 3.14 as an approximation for π, we get:
A ≈ 90 * 3.14
A ≈ 283
Thus, the approximate area of the shaded sector is 283 square cm, which is option D.
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What is the slope and y-intercept of this line?
y = -3x+9
A. slope: 3, y-intercept: -9
B. slope: -3, y-intercept: 9
C. slope: 1. y-intercept: -3
D. slope: 9, y-intercept: -3
what 6+6+6+6+6+6=----------------------------
Mark brainiest
Answer:
36
Step-by-step explanation:
calculate the 6+the Other 6 together
Answer:
36
6 + 6 + 6 + 6 + 6 + 6 is the same as saying 6 × 6, because you are adding 6 to itself 6 times, which gives you 36.help please
What is this expression in simplest form?
4w/w-2 + 3w/w-3
Answer:
b
Step-by-step explanation:
7w^2-18w/w^2-5w+6
The simplest form of the expression is 7w/w^2+6, the correct option is A.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that;
4w/w-2 + 3w/w-3
Now,
we can multiply the numerator and denominator by the missing factor. For example
w−24w=(w−2)(w−3)4w(w−3)
w−33w=(w−2)(w−3)3w(w−2)
Add the fractions with the LCD as the common denominator. To do this, we can add the numerators and keep the denominator. For example:
w−24w+w−33w=(w−2)(w−3)4w(w−3)+3w(w−2)
Simplify the numerator by distributing and combining like terms. For example:
(w−2)(w−3)4w(w−3)+3w(w−2)=(w−2)(w−3)4w2−12w+3w2−6w
(w−2)(w−3)4w2−12w+3w2−6w=(w−2)(w−3)7w2−18w
=7w/w^2+6
Therefore, by the given expression the answer will be 7w/w^2+6.
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Based on a sample of 20 people, the sample mean GPA was 3.25 with a standard deviation of 0.02
The test statistic is:
(to 2 decimals)
The critical value is:
(to 2 decimals)
Using the t-distribution, it is found that:
The test statistic is t = -11.18.The critical value is [tex]t^{\ast} = \pm 2.093[/tex].What are the hypotheses tested?At the null hypothesis, it is tested if the mean GPA of the students is of 3.3, that is:
[tex]H_0: \mu = 3.3[/tex]
At the alternative hypothesis, it is tested if the mean GPA is different than 3.3, hence:
[tex]H_1: \mu \neq 3.3[/tex].
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.The values of the parameters are given as follows:
[tex]\overline{x} = 3.25, \mu = 3.3, s = 0.02, n = 20[/tex]
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{3.25 - 3.3}{\frac{0.02}{\sqrt{20}}}[/tex]
t = -11.18.
We are testing if the mean is different of a value, hence we have a two-tailed test, with 20 - 1 = 19 df and a standard significance level of 0.05, hence, using a t-distribution calculator, the critical value is [tex]t^{\ast} = \pm 2.093[/tex].
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Farmer keeps 64 goats. He keeps 5 times as many cows as goats. How many cows does
keep?
NO LINKS!!! For each table, tell whether represents a linear, exponential, inverse, or no relationship. Write an equation each table(if possible).
[tex]\large\boxed{\sf inverse \ variation}[/tex]
[tex]\sf \large\boxed{\sf xy = 12}[/tex]
Explanation:The coordinates are given in the table. Plot the points and draw a smooth curve on the graph. Identify the type of curve it forms.
After identification, it looks like a inverse graph.
Constant variable:
1 × 12 = 122 × 6 = 123 × 4 = 124 × 3 = 126 × 2 = 12Inverse variation: xy = a [a is constant]
Equation: xy = 12 or y = 12/x
Answers:
This is an Inverse variation
The equation is y = 12/x which is the same as saying xy = 12
======================================================
Explanation:
Notice that for each column, the x & y values multiply to 12.
1*12 = 122*6 = 123*4 = 124*3 = 126*2 = 128*1.5 = 1210*1.2 = 1212*1 = 12This tells us that x*y = 12 which rearranges to y = 12/x
All inverse variation equations are of the form y = k/x which is equivalent to xy = k.
As x increases, y decreases, and vice versa.
Guys I have a calculus test tomorrow and need help ASAP
Answer:
1) (Un) is a geometric sequence.
2) Un+1 - Un ≤ 0.
3) (Un) is decreasing.
4) (Un) is convergent.
5) sum = 155
Step-by-step explanation:
Un+1 = 0.5Un
U₀ = 80
1) U is a geometric sequence (reason : Un+1 = 0.5Un).
2) Un+1 - Un = 0.5Un - Un = Un×(0.5 - 1) = -0.5Un ≤ 0 (because Un ≥ 0).
Remark: use Mathematical induction to prove that Un ≥ 0
3) Un+1 - Un ≤ 0
then
Un+1 ≤ Un
then
the sequence U is decreasing.
4) U is decreasing and Un ≥ 0
Then U is convergent.
5) Since U is geometric sequence with first term U0 = 80 and common ratio = 0.5 .
Important: review the sum of consecutive terms of a geometric sequence.
Then
[tex]U_0+ U_1+ U_2+ U_3+ U_4=U_{0}\times \frac{1-\left( 0.5\right)^{5} }{1-0.5}=160\times(1-\left( 0.5\right)^{5} )=155[/tex]
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86m long and 64m wide. Find the area of the training field. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.
The area of the training field is 5606.48 m².
What is area?Area can be defined as the region bounded by a plane shape.
To calculate the area of the training field, we use the formula below.
Formula:
A = lw+π(w/2)².................. Equation 1Where:
A = Area of the training fieldl = Length of the training fieldw = width of the training fieldπ = pieFrom the question,
Given:
l = 86 mw = 64 mSubstitute these values into equation 1
A = (86×64)+[3.14×(64/2)²]A = 5504+100.48A = 5604.48 m²Hence, the area of the training field is 5606.48 m².
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y = 3
3y + 78 + 6y + 13
Step-by-step explanation:
the thing you need to do here is put the value of x and just simply the expression.....
= 3y + 78 + 6y + 13
= 3 × 3 + 78 + 6 × 3 + 13
= 9 + 78 + 18 + 13
= 118
[tex]....[/tex]
Answer:
3×3+78+6×3÷13
9+78+18÷13
88.38
Step-by-step explanation:
i m not sure if it's correct since i didn't follow tye bodmas rule properly and it was bit tricky and it comes in decimal so not sure if it's correct
What is the answer to E= mc^2
Answer:
E = energy (measured in joules)m = mass (measured in kilograms)c = the speed of light (186,300 miles per second, or 3 x 108 ms-1
Step-by-step explanation:
7/18+5/12-1/4 as a fraction in simplest form
5/9
you can use a common denominator of 36, and multiply the numerators of each fraction by whatever number the denominator had to be multiplied by to get to 36
14/36+15/36-9/36
then you add and subtract
20/36=
5/9
abishek travelled 5km 28m by bus, 2km 265m by car and the rest 1km 30m on foot how much distance did he travel in all?
Answer:
8km 323m
Step-by-step explanation:
The total distance given by summing up all the distances traveled using different means.
Distance by bus = 5km 28m
Distance by car = 2 km 265 m
Distance on foot = 1 km 30 m
The total distance = distance by bus + distance by car + distance on footWe substitute below :-(1km + 2 km + 5km) + (30m + 265m +28m) = 8km + 323m
Total distance covered = 8km 323mStep-by-step explanation :
Here we have been given with the distance travelled by Abhishek through bus , car and foot. We're asked to calculate the total distance travelled by him.
But we will first convert the distance which is in kilometres into metres in order to do that. And after that we will add them all.
• Distance travelled by bus :
> Bus = 5km 28m
> Bus = 5 × 1000 + 28
> Bus = 5000 + 28
> Bus = 5028 m
• Distance travelled by car :
> Car = 2km 265m
> Car = 2 × 1000 + 265
> Car = 2000 + 265
> Car = 2265m
• Distance travelled by foot :
> Foot = 1km 30m
> Foot = 1 × 1000 + 30
> Foot = 1000 + 30
> Foot = 1030m
★ Now, total distance would be calculated as follows :
>> Total distance = (5028 + 2265 + 1030) m
>> Total distance = (7293 + 1030) m
>> Total distance = 8323 m
Therefore,
Abhishek travelled 8323 m.Answer the volume based Question. I will make uh brainliest + 50 points
Answer:
see explanation
Step-by-step explanation:
(a)
the volume (V) of the cylinder is calculated as
V = πr²h ( r is the radius and h the height ) , then
V = π × a² × 2a = 2a³π
(b)
the volume of the prism is calculated as
V = Ah ( A is the cross- sectional area and h the height ) , then
a²b = 2a³π ( divide both sides by a² )
b = 2πa
PLSS HELP ME WITH THIS! 20 POINTSS!
Answer:
c
Step-by-step explanation:
What is the area of the figure?
Answer:
Area = 28 cm^2
Step-by-step explanation:
Triangle Area = 1/2 * 5 * 4 = 10 cm^2
Big Rectangle = 4 * 3 = 12 cm^2
Small Rectangle = 4 * 1.5 = 6 cm^2
Total Area = 10 + 12 + 6 = 28 cm^2
Answer:
Step-by-step explanation:
Discussion
Area of the Triangle
3 4 5 is the first triangle most people encounter when they begin their study of the Pythagorean Theorem. You can show this to be true by trying it.
c = 5
b = 3
a = 4
c^2 = a^2 + b^2 Equation Substitute values
c^2 = 3^2 + 4^2 Expand
c^2 = 9 + 16 Combine
c^2 = 25 Take the square root of both sides.
√c^2 = √25
c = 5 Which is exactly what you are given.
A right triangle has the property of Area = 1/2 * a * b using the values given above.
Find the area of the triangle
Area = 1/2 a * b
Area = 1/2 3 * 4
Area = 6
Find the area of the rectangle
L = 3 + 1.5 =4.5 Just add the two parts of the vertical line together.
w = 8 - 4 = 4
Area of the rectangle = L * w Substitute values
Area of the rectangle = 4.5 * 4
Area of the rectangle = 18 Add
Total area 24
Answer
24 cm^2
Guys please help me I'll give more points to whoever is corretc
What is the area of this figure?
area of parellogram
pls help
Answer:
136
Step-by-step explanation:
simple as you can remember, the area of a parallelgram has the exact formula as the rectangle,
lw = a.
This brings us to 8 × 17, which is 136.
You buy milk at $2.48 per gallon. One portion of oatmeal requires 4 ounces of milk. How much does the milk for one portion cost?
Answer:
$0.01
Step-by-step explanation:
Convert gallons to ounces:
0.03125 Gallons of milk per serving
0.03125/2.48=0.0126008
Simplify:
0.01.
One portion costs 1 cent.
A zoo measured the wingspan, in millimeters, of 9 butterflies.
55, 50, 54, 57, 50, 55, 53, 52, 55
What is the median length of the wingspans?
50 mm
54 mm
55 mm
57 mm
5. Find the volume of the composite space figure to the nearest whole number. (1 point)
6 mm
9 mm
11 mum
Not drawn to scale
0416 mm³
0705 mm³
01.294 mm³
0944 mm³
Answer:
(d) 944 mm³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the distance between bases.
__
base areaHere, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...
A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²
The area of the rectangle is the product of its length and width.
A = LW = (9 mm)(6 mm) = 54 mm²
So, the total base area is ...
31.809 mm² +54 mm² = 85.809 mm²
prism volumeThe prism volume is this area multiplied by the length of the figure:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the figure is about 944 mm³.
graph of y = x - 2x + 5 using your graphing calculator. What are the x-intercepts
a. (2,0) and (-7, 0)
There are no x-intercepts
b. (2,0) and (-2, 0)
d. (9,0) and (-2, 0)
C.
Please select the best answer from tho ohoin
Answer:
(2, 0) and (-7, 0)
N
C.
b.
(2, 0) and (-2, 0)
There are no x-intercepts
d.
(9, 0) and (-2, 0)
Please select the best answer from the choices provided
O A
B
C
Step-by-step explanation:
Suppose the base and height ( 8 and 6) are multiplied by 1/2, what effect would this have on the area
Answer:
Here is the answer hope it helps:)
what is the measurement of angle c
Answer: 29
Step-by-step explanation:
all triangles equal to 180
180-97-54=29
A plumber fixed a leaky sink and charged $55 for parts and $45 per hour for labor. If the total bill was $190, how many hours did the plumber spend fixing the sink?
Answer:
3 hours
Step-by-step explanation:
$190 - $55 = $135 that the plumber charged for labor
$135/$45 = 3 hours that the plumber spent fixing the sink
The volume of a cylinder is 1225π cm. The height of the cylinder is 25 cm. What is the radius of the cylinder?
Answer:
Volume of cylinder = pi r^2 h
1225 pi = pi×r^2×25
r^2= 1225/25=49
so, r= 7 cm