Answer:
the answer is 2.87
Step-by-step explanation:
use the pythagorean theorem
2^2+b^2=4^2
that goes to b= 3.5
for the triangle with x you also need to use the pythagorean theorem
[tex]2^{2}[/tex]+[tex]x^{2}[/tex]=[tex]3.5^{2}[/tex]
4+[tex]x^{2}[/tex]=12.25
subtract 4 on both sides
[tex]x^{2}[/tex]=8.25
[tex]\sqrt{x}[/tex]=[tex]\sqrt{8.25}[/tex]
x=2.87
A large company states in its promotional literature that 74% of its employees have college degrees. Assume this claim is true. If 3 employees are selected at random from this company, what is the probability that at least 1 of the selected employees will not have a college degree?
A. 0.0176
B. 0.4052
C. 0.5948
D. 0.9284
Answer:it is 0.5948
Step-by-step explanation:c
The probability that at least 1 of the selected employees will not have a college degree is 0.594776.
What is Binomial distribution?A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
[tex]P(x) = ^nC_x p^xq^{(n-x)}[/tex]
Where,
x is the number of successes needed,n is the number of trials or sample size,p is the probability of a single success, andq is the probability of a single failure.Given that 74% of the employees have degrees, therefore, 26% of the employees have no degree.
Now, since we want at least any one of the three people selected to have a degree. Therefore, the probability of everyone having a degree can be written as,
Probability that at least any one of the three people selected to have a degree = 1 - Probability of everyone having a degree
Now, using the binomial distribution we can write,
[tex]\text{Probability} = 1 - [^3C_0\cdot(0.26)^0 \cdot (0.74)^{(3-0)}]\\\\\text{Probability} = 1 - 0.405224 = 0.594776[/tex]
Hence, the probability that at least 1 of the selected employees will not have a college degree is 0.594776.
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You heard it as a FRACTION! please answer this lol I'm clueless :'D
Answer:
[tex]\frac{a}{b + 2}[/tex]
a
___
b + 2
Some number added to -12 is 36. Add this number to -15. Then multiply this
number by 2. What is the final number?
the graph of part of linear function G is shown on thw grid. which inequality best represents the range of the part shown?
Is it true or false?
Answer:
True
Step-by-step explanation:
Circumference is diameter x [tex]\pi[/tex]
When you divide [tex]\pi[/tex], you get diameter
"write an equation of the perpendicular bisector or the segment with endpoints Q(-2,0) and R(6,12). what does y equal?
Answer:
The equation of perpendicular bisector of QR is:
y = -\frac{2}{3}x+\frac{22}{3}y=−32x+322
Step-by-step explanation:
Given points are:
Q(-2,0)\ and\ R(6,12)Q(−2,0) and R(6,12)
First of all, we have to find the slope of the given line
So,
m = \frac{y_2-y_1}{x_2-x_1}m=x2−x1y2−y1
Here
(x1,y1) = (-2,0)
(x2,y2) = (6,12)
Let m1 be the slope of QR:
Then
\begin{gathered}m_1 = \frac{12-0}{6+2}\\= \frac{12}{8}\\= \frac{3}{2}\end{gathered}m1=6+212−0=812=23
Let m2 be the slope of perpendicular bisector
We know that the product of slopes of two perpendicular lines is -1
\begin{gathered}m_1.m_2 = -1\\\frac{3}{2}.m_2 = -1\\m_2 = -1 * \frac{2}{3}\\m_2 = -\frac{2}{3}\end{gathered}m1.m2=−123.m2=−1m2=−1∗32m2=−32
The bisector will pass through the mid-point of QR
\begin{gathered}M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\M = (\frac{-2+6}{2}, \frac{0+12}{2})\\M = (\frac{4}{2}, \frac{12}{2})\\M = (2,6)\end{gathered}M=(2x1+x2,2y1+y2)M=(2−2+6,20+12)M=(24,212)M=(2,6)
Slope-intercept form of equation is:
y = m_2x+by=m2x+b
Putting the value of slope
y = -\frac{2}{3}x+by=−32x+b
Putting (2,6) in the equation
\begin{gathered}6 = -\frac{2}{3}(2)+b\\6 = -\frac{4}{3}+b\\b = 6+\frac{4}{3}\\b = \frac{18+4}{3}\\b = \frac{22}{3}\end{gathered}6=−32(2)+b6=−34+bb=6+34b=318+4b=322
So,
y = -\frac{2}{3}x+\frac{22}{3}y=−32x+322
Hence,
The equation of perpendicular bisector of QR is:
y = -\frac{2}{3}x+\frac{22}{3}y=−32x+322
in a company, 37% of the 1500 employees are females
work out the number of males in the company
This is geometry pls help will mark brainliest!!
The Correct Answer Should Be - 70
I Hope This Helps You!!! :)
Answer:
- 70
Step-by-step explanation:
Evaluate 1/3r + 11/18 When r = 1/6
Answer:
1/3(1/6) + 11/18 = 1/18 + 11/18 = 12/18 or 2/3
Step-by-step explanation:
Evaluate 6 + a when a = 7. The value is
Answer:
13
Step-by-step explanation:
6 + 7 = 13
When a = 7, the value of 6 + a is 13.
To evaluate the expression 6 + a when a = 7, we substitute the value of a into the expression:
6 + a = 6 + 7.
Now, we can simplify the expression by adding the numbers:
6 + 7 = 13.
Explanation:
In the expression 6 + a, the variable a represents an unknown value. By substituting a = 7 into the expression, we replace the variable with its corresponding value.
This allows us to perform the arithmetic calculation to find the result.
Therefore, when a = 7, the value of 6 + a is 13.
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Value of g, h, k, m. Please!!
Answer:
H = 137, by linear pair postulate
G = 43, by vertical angles theorem
M = 49, by linear pair postulate
K = 131, by vertical angles theorem
Last year there were 30 students in the Chess Club. If the number of students in the Rubik's Cube Club was 20% greater than the number of students in the Chess Club, how many students were in the Rubik's Cube Club?
A. 30
B. 42
C. 36
D. 58
Help please... I need help
Step-by-step explanation:
3x = 12 - 18
3x = (- 6)
X = (-6)/3
x = (-3)
what is the smallest integer greater than the square root of 85?
Answer:
the answer is 9.2
Step-by-step explanation:
The radical value √(85) lies between 81 and 100. So, the smallest integer greater than the square root of 85 is 10.
Radical:Important information:
The given radical value is [tex]\sqrt{85}[/tex].The perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
It is clear that,[tex]81<85<100[/tex]
Taking square root on each side, we get
[tex]\sqrt{81}<\sqrt{85}<\sqrt{100}[/tex]
[tex]9<\sqrt{85}<10[/tex]
The value [tex]\sqrt{85}[/tex] lies between 9 and 10.
Therefore, the smallest integer greater than the radical value square root of 85 is 10.
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due today plzzz help
Answer:
Increasing
Step-by-step explanation:
1/4 = .25
1/2 = .50
3/4 = .75
plz help what’s the answer to this
Madison purchased 3 gallons of milk. How many one-cup servings are equivalent to 3 gallons
Answer:
48 cups
Step-by-step explanation:
there's 16 cups per gallon so 16 x 3
Answer:
48 cups
Step-by-step explanation:
there are apx. 16 cups of milk in one gallon.
16 times 3 = 48
You are taking a quiz that has 9 multiple-choice questions. If each question has 3 possible answers, how many different ways are there to answer the test?
Answer:
19 683
Step-by-step explanation:
Think of it as s lock..
A normal combination lock usually have 3 scrollwheels with 10 different positions in them.. (0 1 2 3 4 5 6 7 8 9)
The smallest number you can make is 000
and the biggest is 999
therefore there are a total number of 1000 possible combinations. (001, 002, 003 ... 134, 135, 136 ... 876, 877)
I think you get it.
Simply: 10 ^ 3 = 1000
In your question we have 9 "scroll wheels" with 3 "different positions" in them
So we simply do: 3 ^ 9 = 19 683
There you go, hope i could help
Do these ratios form a proportion 6/3 and 9/12
Answer:
No
Step-by-step explanation:
6/3=18/9
9/12=18/24
Also 6/3=2 and 2 does not equal 9/12
the question is in the picture below
Answer:
The missing value is [tex]14[/tex].
Step-by-step explanation:
Divide the known denominator by its numerator.
[tex]4\div2=2[/tex]
Now multiply the quotient by the other numerator ([tex]7[/tex]).
[tex]2×7=14[/tex]
or
First, find the factor by which the numerators have been multiplied.
[tex]2x=7→x=3.5[/tex]
Now, do the same for the denominators.
[tex]4(3.5)=14[/tex]
3. a. Carla buys a minivan for $20,500. She writes a proportion to find the selling price is S Is Carla's method correct? Explain.
Answer:
Yes Carla is correct.
Step-by-step explanation:
Gabriel is going to invest in an account paying an interest rate of 2.8% compounded
continuously. How much would Gabriel need to invest, to the nearest cent, for the
value of the account to reach $85,000 in 13 years?
Answer:
59065.75
Step-by-step explanation:
What does 2/3 + 1/3 + 5/3 =?
Answer:
2 and 2/3
Step-by-step explanation:
that is the answer
Answer:
8/3
Step-by-step explanation:
Since all of them have like denominators we should just add
[tex]\frac{2}{3}+\frac{1}{3} +\frac{5}{3}[/tex] = [tex]\frac{8}{3}[/tex]
Compare the two ratios, is 2/5 and 4/10 equal? Remember to simplify
Answer:
YES
Step-by-step explanation:
2/5 =? 4/10
Get the same demonimator (bottom number of fraction):
2/5 multiply top and bottom by 2 to get 10 on bottom.
4/10 = 4/10
Yes they equal each other.
----------------------------------------------------------------------------------------------------------------
2/5 =? 4/10
Get the same demonimator (bottom number of fraction):
4/10 divided both top and bottom by 2 to get 5 on bottom
2/5=2/5
Yes they equal each other.
Find the volume of a cylinder that has a diameter of 8 m and a height of 2.5
m. Use 3.14 for pi.
Answer:
V = 125.6
PLZ MARK AS BRAINLIEST
Step-by-step explanation:
V = πr²h
V = 3.14(8/2)²(2.5)
V = 3.14(4)²(2.5)
V = 3.14(16)(2.5)
V = (50.24)(2.5)
V = 125.6
Answer:
125.6
Step-by-step explanation:
πr^2 h = π·4^2 * 2.5≈ 125.66371
Please restate in your own words "Corresponding
parts of congruent figures are congruent."
(CPCFC)
you got it
Step-by-step explanation:
A corner store sells two kinds of baked goods: cakes and pies. A cake costs $4 and a pie costs $11. In one day they sold 11 baked goods for a total of $100. How many cakes did they sell?
Answer:
8 cakes
Step-by-step explanation:
Answer:
25 cakes
Step-by-step explanation:
If all the baked goods were cakes, then they would sell 25 cakes.
100 divided by 4 is 25
Some help with this
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y= 96(1.08)
Answer:
Growth
Step-by-step explanation:
Joseph is saving his money. He currently has $5, and his dad gives him $2 each week. Which type of function would best represent?
Answer:
d) linear
Explanation:
Since Joseph is always getting the same amount of money the function will be linear.
15,25,45,_,115,165
What’s the pattern?
Answer:
15, 25, 45, 75, 115, 165.
Step-by-step explanation:
pattern. So then you just stick the 5s back on 15, 25, 45, 75, 115, 165.