An employee has a probability of 0.19706 to make between $70,000 and $80,000
What is Probability?Probability is the potential for an event to occur or occur, and it indicates the likelihood that a statement is true. It is a field of mathematics where the probabilities of experiments happening are computed. We can determine everything from the likelihood of getting heads or tails when tossing a coin to the likelihood of making a research error, for instance, using a probability. It's formula is = number of favorable outcomes/total number of outcomes
Let X be the annual salary of employees in a large company.
Given the mean salary is $65,000 and the standard deviation is $6,000, the probability of making between $70000 and 80000 can be calculated as:
[tex]P(70000 < X < 80000)[/tex] = [tex]P(\frac{70000 - 65000}{6000} < z < \frac{80000 - 65000}{6000} )[/tex]
[tex]P(0.833 < z < 2.5)[/tex]
= 0.99379 - 0.79673 (from normal distribution table)
= 0.19706
Hence, the probability that an employee makes between $70,000 and $80,000 is 0.19706
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108 identical books have a mass of 30 kg.Find
the mass of 150 such books
the number of such books that have mass of 20 kg
Answer:
41.67 kg
72 books
Step-by-step explanation:
mass of 150 books = 150/108 × 30 kg
= 41.67 kg
number of books = 20/30 × 108 books
= 72 books
Recall the experiment comparing patients 4 weeks after surgery for carpal
tunnel syndrome. The patients who had endoscopic surgery demonstrated
a mean pinch strength of 9.1 kg compared to 7.6 kg for the open- incision
patients.
4. What hypotheses would you test?
5. The P-value of the test was less than 0.05. State a brief conclusion.
Answer:
4. H0: u1= u2 Ha; u1≠ u2
5. The smaller value of p supports the null hypothesis.
Step-by-step explanation:
4. The null and alternate hypotheses are
H0: u1= u2 i.e there no difference between the mean pinch strengthof the two surgeries
against the claim
Ha; u1≠ u2 i.e there a difference between the mean pinch strengthof the two surgeries
It can be written like this as well
H0: u1 -u2= 0 i.e there no difference between the mean pinch strengthof the two surgeries
against the claim
Ha; u1 -u2≠ 0 i.e there a difference between the mean pinch strengthof the two surgeries
Part 5. The test having a p- value less than 0.05 tells that the null hypothesis cannot be rejected. Theres no evidence to reject the null hypothesis.
The smaller value of p supports the null hypothesis.
i need help. i don’t understand
Answer:
26.4 (srr if incorrect)
Step-by-step explanation:
In triangle ABC, what is the measure of angle C if A = 120°, a = 25, and b = 24?
Round the answer to the nearest hundredth.
Answer:
what is the area of the trapezoid
help me pls. not links pls
Here is a list of numbers:
18, -4, -3, -19, 11, 1, -16 ,15 ,9 ,5
State the median.
Answer:
6
Step-by-step explanation:
To find the median you simply look for the number in the middle of the list.
In this particular case 1 and 11 are both the fifth number in the series of numbers. When this happens you have to add the two terms together (1+11) and divide by two (12/2)=6
Can someone help please, this has been stressing me out
Lyla is playing a game in math class where the students describe a number they are thinking of and the class uses clues to determine which type of number it is. Lyla tells her class that she is thinking of a positive number with infinitely many nonrepeating digits after the decimal point. Which type of number is Lyla thinking of?Single choice.
(1 Point)
1. whole
2. integer
3. rational
4. irrational
Answer:
1 or 3 sorry if wrong
Step-by-step explanation:
find y when x=-6 if y =15 when x =-5
Answer:
y = 18
Step-by-step explanation:
15/-5 = y/-6
cross-multiply:
-5y = -90
y = 18
What is the volume (V) of the cylinder shown below ? Use 3.14 for π .
The volume (V) of the given cylinder with the height 10 mm and the diameter 14 mm is 1538.6 cubic millimeter.
From the given figure, diameter of a cylinder = 14 mm and height = 10 mm.
Here, radius = [tex]\frac{14}{2}[/tex]
= 7 mm
Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
We know that, the formula to find the volume of a cylinder is [tex]\pi r^2h[/tex].
Here, the volume of a cylinder = 3.14×7²×10
= 3.14×49×10
= 1538.6 cubic millimeter
Therefore, the volume (V) of the given cylinder with the height 10 mm and the diameter 14 mm is 1538.6 cubic millimeter.
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What is 0.01857 rounded to the nearest thousandths place?
Which of these expression is equivalent to 10% . 10%?
A. 100'
B. 103
C. 10,000,000
D. 2010
E. 107
what expression is equivalent to
please help me! ive been stuck on this for an hour and cant figure it out :(
Answer: 412 in
Step-by-step explanation: sorry if wrong
purple prism = y
green prism = x
136y in+ 276x in= 412
What is the measure of the inscribed arc whose inscribed angle measures 36 degrees?
A. 36 degrees
B. 72 degrees
C. 108 degrees
D. 18 degrees
Answer:
b
Step-by-step explanation:
Answer:
it is A. or B.
Step-by-step explanation:
A fire department's ladder is 110 feet long. A firefighter is trying to reach the top of a 100 foot building by leaning the ladder against the building. What is the angle of elevation for the rescue ladder?
Answer:
sin-¹(10/11)
Step-by-step explanation:
The height of the building is 100 ft and the ladder is 110ft long .We can imagine this situation as a right angled ∆. For figure refer to the attachment .
We can use ratio sine here. Let the angle of elevation be theta.In ∆ ABC :-
=> sinθ = p/h
=> sinθ = 100ft / 110 ft
=> sinθ = 10/11
=> θ = sin -¹ ( 10/11) .
Hence the angle of elevation is sin -¹ ( 10/11).Please please please help me with this
Answer:
Apparently the picture is pitch black so I don't understand what you need help with. Sorry.
Step-by-step explanation:
NEED IT ASAP
Find the missing side.
3 is A^2
5 is B^2
what is the missing side
Answer:
5.83
Step-by-step explanation:
Use the Pythagorean theorem:
3^2+5^2 = c^2
34 = c^2
sqrt34 = c
5.83 = c
PLEASE HURRY!!! ACTUALLY ANSWER PLEASE
Answer:
C
Step-by-step explanation:
Process of elimination
what is the volume of a cylinder in cubic cm with a height of 9cm and a base diameter of 16cm round to the nearest tenths place
1.
Use synthetic division and the Remainder Theorem to find P(a).
P(x) = x3 + 7x2 + 4x; a = −2
2
12
−2
0
Answer:
12
Step-by-step explanation:
Please write this function as P(x) = x^3 + 7x^2 + 4x + 0. This third order function has four coefficients. We set up synthetic division with -2 as the divisor:
-2 / 1 7 4 0
-2 -10 12
----------------------
1 5 -6 12
The remainder is 12. Accordng to the Remainder Theorem, the value of P(x) at x = -2 is 12.
Solve equation
0=5x+3
Answer:
the answer is -3/5
Step-by-step explanation:
x=-0.6
Answer:
0 =5x+3
-3 =5x
-3/5=x
x=-3/5
Triangle JKL has vertices J(0, 2), K(–1, 2), and L(0, –3). What are the coordinates of the image of point J after a dilation with a scale factor of 3?
Given:
The vertices of a triangle JKL are J(0, 2), K(–1, 2), and L(0, –3).
To find:
The coordinates of the image of point J after a dilation with a scale factor of 3.
Solution:
If a figure is dilated by a scale factor of k, then
[tex](x,y)\to (kx,ky)[/tex]
The given triangle JKL dilated by a scale factor of 3. So,
[tex](x,y)\to (3x,3y)[/tex]
The coordinates of point J are J(0,2). By using the above rule, we get
[tex]J(0,2)\to J'(3(0),3(2))[/tex]
[tex]J(0,2)\to J'(0,6)[/tex]
Therefore, the coordinates of the image of point J after a dilation with a scale factor of 3 are J'(0,6).
Find the surface area!
Thank you!!
Answer:
[tex]SA= 720 m^2[/tex]
Step-by-step explanation:
[tex]x=\sqrt{5^2+12^2}=13m[/tex]
[tex]AS=2*1/2*12+12*22+5*22+13*22[/tex]
[tex]= 60+264+110+13*22[/tex]
[tex]AS= 720m^2[/tex]
⋆┈┈。゚❃ུ۪ ❀ུ۪ ❁ུ۪ ❃ུ۪ ❀ུ۪ ゚。┈┈⋆
hope it helps...
have a great day!!
Answer:
SA=720m^2
Step-by-step explanation:
hope it helps you ..
At a museum cafe you can get a pre-made boxed lunch with a sandwich, fruit, and drink for only . The sandwiches are made with either turkey or ham. The fruit is either an apple or an orange. The drink is either bottled water or juice. The number of boxes they make for every possible combination is the same. If you randomly choose one of the boxed lunches without knowing the contents, what is the probability you will get a turkey sandwich and a bottle of water in your box?
Answer:
1/8 or 0.125
Step-by-step explanation:
So, I started solving this problem by writing all the possible options, then pairing them each up with a fruit and drink..
...But when I read the question again, I noticed I forgot to leave out the fruit, as this question states that you're trying to retrieve "a turkey sandwich and a bottle of water.."
Well, oof.
Despite that, I'm still giving this answer as if it never left out the fruit. So, let's see what we need to do.
To find all the possible lunch options, I started out by writing down one of our meats, Turkey. As per requested, I made every possible turkey combination that included a fruit and drink, which gave me this:
Turkey, apple and waterTurkey, orange and waterTurkey, orange and juiceTurkey, apple and juiceSame for the ham:
Ham, apple and waterHam, apple and juiceHam, orange and juiceHam, orange and waterPutting these together, this gives up 8 different lunchbox combinations. If we're trying to get one and we randomly select it, then we have a 1/8 chance of grabbing the turkey sandwich and a bottle of water....
..and a fruit.
Hope this helped!
If you need me to show my work, just comment me and I will attach a screenshot!
Source: N/A
Borox is loading a freight elevator with 12 boxes: 4 small, 5 medium, and 3 large. A small box and medium box together weigh 20 pounds; a medium box and a large box together weigh 28 pounds, and a large box with a small box weighs 24 pounds. What is the total weight of the 12 boxes?
Answer:
140 pounds
Step-by-step explanation:
let s == small box
m = medium box
= large box
the following 3 equations can be derived from the question
s + m = 20 equation 1
m + l = 28 equation 2
l + s = 24 equation 3
make m the subject of the formula in equation 1 and 2
m = 20 - s equation 4
m = 28 - l equation 5
equate equation 4 and 5
20 - s = 28 - l
l - s = 8 equation 6
solve equation 3 and 6 using simultaneous equation
l + s = 24 equation 3
l - s = 8 equation 6
subtract equation 6 from 3
2s = 16
s = 8
substitute for s in equation 1
8 + m = 20
m = 12
substitute for m in equation 2
12 + l = 28
l = 16
total weight = (4 x 8) + (5 x 12) + (16 x 3) = 140 pounds
Janette measures the heights in inches of some of the flowers in her garden to see which ones are growing more. The heights are listed below. Which line plot represents the data correctly? 7 1 2 712 7 7 7 1 2 712 6 3 4 634 7 1 4 714 7 1 4 714 7 1 4 714 7 7 6 1 2 612 7 3 4 734 7 3 4 734 6 3 4 634 8 1 4 814 7 7 7 1 2 712 7 7 7 1 4 714 7 7 7 1 2 712 7 1 2 712
Answer:
Dot plot A
Step-by-step explanation:
In other obtain the solution to the question given, we obtain the frequency distribution of the data values given and compare to the box plots given to identify which boxplot correctly conveys the data.
___ Frequency
6 1/2 - 1
6 3/4 - 2
7 = 5
7 1/4 = 4
7 1/2 = 5
7 3/4 = 2
8 1/4 = 1
I need help on this and if you the first person to answer this correctly then I would mark you BRANILIST
Answer:
60
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
[tex] \sqrt{300 } = 17.32[/tex]
Round to the nearest whole number which is 17.
What is x? Please try and show work. ANSWER ASAP! SCAM ANSWERS WILL BE REPORTED. Will award brainliest for correct answer!
Answer:
x=6
Step-by-step explanation:
Kindly look at the image provided below.
The image shows the relationship between intersecting secants and their corresponding arcs which is important to understand when looking at problems like these.
The relationship states that an angle formed by two intersecting secants is equal to half the sum of its corresponding arc and its vertical angles corresponding arc.
So ∠FHG = 1/2 ( arc FG + arc EB )
* substitute the given expressions for each angle and arc *
we would then have
15x - 2 = 1/2 ( -2 + 12x + 16x + 10 )
We now solve for x
Step 1 multiply each side by 2
1/2 ( -2 + 12x + 16x + 10 ) *2 = ( the 2 and 1/2 cancels out ) -2 + 12x + 16x + 10
(15x - 2 )2 = 30x - 4
we now have -2 + 12x + 16x + 10 = 30x - 4
step 2 combine like terms
-2 + 10 = 8
12x + 16x = 28x
now we have 30x - 4 = 28x + 8
step 3 add 4 to each side
-4 + 4 cancels out
8 + 4 = 12
Now we have 30x = 28x + 12
step 4 subtract 28x from each side
30x - 28x = 2x
28x - 28x cancels out
now we have 2x = 12
step 5 divide each side by 2
2x / 2 = x
12 / 2 = 6
we're left with x = 6
4. Find the volume of the figure. The base is a square.
5. Find the volume of the figure. Leave the answer in the terms of pi
Answer:
A) 283500 ft³
B) 1057.26 π in³
Step-by-step explanation:
A) Volume of square based pyramid
= 1/3 × Area of the base × height
= 1/3 × (90 ft)² × 105 ft
= 283500 ft³
B) This figure is a composite figure
Step 1
Find the volume of the cone
=1/3 πr²h
r = radius = 8.5 in
h = height = 10 in
= 1/3 × π × (8.5 in)² × 10 in
= 240.83333333 π in³
≈ 240.83 π in³
Step 2
Find the volume of the cylinder
= πr²h
= r = radius = 8.5 in
h = height = 11.3 in
= π × (8.5 in)² × 11.3 in
= 816.425 π in³
≈ 816.43π in³
Volume of the figure = (240.83 π + 816.43 π) in³
= 1057.26 π in³
David has a thousand trees.
He wants to plant the trees in rows.
He wants 73 trees in each row.
How many full rows of trees can David plant?
Answer:
13
Step-by-step explanation:
1000 / 73 = 13.69 , but it asks for full rows so you get rid of the decimal if it can't be round up to a whole number
Answer:
ANSWER:
13
So he can make 13 full rows of 73 trees
and 69 in another row