Answer: [tex]\dfrac{61}{97}[/tex]
Step-by-step explanation:
Let V = Event of selecting vegetarian employee
N = Event of selecting employee who owns a Nissan Leaf.
Given: Total employees = 97
n(V) = 31
n(N) = 36
n(N and V) = 6
By formula,
n(N or V) = n(V) + n(V) - n(N and V)
= 31+36-6
=61
By probability formula,
[tex]P(N \ or \ V)=\dfrac{n(N\ or\ V)}{Total }\\\\=\dfrac{61}{97}[/tex]
Hence, the probability that the employee is vegetarian or that she/he owns a Nissan Leaf = [tex]\dfrac{61}{97}[/tex]
Find the value of x.
Answer: 12.65
Step-by-step explanation:
Ive never solved a problem like this, but this is how I would solve it. You first want to find the height of the triangle by using the Pythagorean theorem. Solve for the height by using the left triangle.
[tex](4\sqrt{2} )^2=4^2+b^2\\32=16+b^2\\16=b^2\\b=4[/tex]
b is the height, the dotted line, of both triangles. Now do the Pythagorean theorem on the right triangle to find the value of x
[tex]12^2+4^2=x^2\\144+16=x^2\\160=x^2\\x=\sqrt{160} \\x=12.649=12.65[/tex]
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)?
Answer:
C) y − 5 = −(x − 2)
Step-by-step explanation:
What’s the answer xx
Step-by-step explanation:
Hey there!
Given;
ABC is a Right angled triangle.
Taking angle "A" as reference angle, we get;
Perpendicular (p) = BC
hypotenuse (h) = 13cm
Base(b) = 8cm
We know;
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
[tex]or; \: p(BC) = \sqrt{ {h}^{2} - {b}^{2} } [/tex]
[tex] BC = \sqrt{ {13}^{2} - {8}^{2} } [/tex]
[tex] BC = \sqrt{169 - 64} [/tex]
[tex] BC = \sqrt{105} [/tex]
[tex] BC = 10.246[/tex]
Therefore, BC = 10.246cm.
Hope it helps...
The Esteban family will order one T-shirt for each person who attends their family reunion. The cost is $6.50 per T-shirt plus a one-time printing fee of $35.00. This can be represented by the equation c= 6.5n+35, where c represents the total cost of the shirts and n represents the number of shirts ordered. If the family can spend no more than $2,000.00 on T-shirts, what is the maximum number they can order?
Answer: 302
Step-by-step explanation:
PLS HELP PLSSSSSSS QUICK
I WILL GIVE CROWN WHO ANSWERS CORRECTLY
Zach's car travels 21 miles on 1 gallon of gas. Using the answer choice from the previous question, Determine how far Zach travels on a trip if he uses 16 gallons of gas.
Answer:
336 miles
Step-by-step explanation:every gallon goes 21 miles so
2gallons= 42 miles
3gallons =63 miles
16 gallons x 21 miles
Answer:
336
Step-by-step explanation:
for every one gallon he goes 21 miles
21+21=42 2 gallons
42+42=84 4 gallons
84+84=168 8 gallons
168+168=336 16 gallons
Solve for b : 1/2b+G=D
Answer:
I believe the answer is b=1/2(d-g)
Step-by-step explanation:
multiply to remove the variable from the denominator.
what makes -1.3 a non integer
Answer:
Decimal and fractions numbers are non-integers
Step-by-step explanation:
The answer is the third choice because integers are whole numbers that can be positive, negative, or zero. -1.3, however, is not a whole number, so it is not an integer. The reason is the third choice as decimals and fractions are not integers. Hope it helps!
which of the tables represent a function?
PLEASE BE QUIIICCCKKK
Answer:
I think its C or A
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A function can never have a 'x' with two values.
If you say f(x) = a, then there is only one number 'a' which satisfy. If however, you say f(x) = a & f(x) = b, then it's not a function, since there are two values of f(x).
Following this,
A: x = 3 has two f(x) = 2 & 1, so it's not a function
Similarly you can check for all.
There is only one table which x has a unique value.
Correct B
Note that, f(x) = a & f(x) = b, doesnt represent a function. If it is, then a = b is must.
Also, a function is possible only when it satisfies this. But
f(x) = a, f(y) = a, f(z) = a is possible.
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is LaTeX: t=\frac{1}{500}dt=1500d. How long will it take the airplane to travel 800 miles?
Answer:
1.6hours
Step-by-step explanation:
We know that Speed= distance/ time
But from the question, An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d.
And the distance is given as 800 miles
Then, what we need is to substitute the given Distance into the equation of time.
t= 1/500d. Where d= 800 miles
t= (1/500) × 800 miles
t= 800 miles/500
t= 1.6hours
Hence, it will take the airplane to travel 800 miles , 1.6hours
Plz help quick >_< What is the best estimate for 81.9 x 4.6?
O A) 100
OB) 360
OC) 400
OD 8,000
Answer:
B.
Step-by-step explanation:
When you multiply the two decimals you get 376.74 which is closer to 360 than 400
Write a biconditional statement for: A prime number has only 1 and itself as factors. What is the truth value?
Answer:
The statement is;
A number is a prime number if and only if it has 1 and itself as factors
The truth value of this statement is true T
Step-by-step explanation:
The biconditional statement will use the statements if and only if.
Thus, we have;
A number is a prime number if and only if it has only 1 and itself as factors
The truth value of the biconditional statement is T ( true)
label the slope and y intercept
The Campbells went out to dinner at Chilli's. They spend $64.00 and want to leave a 20% tip. How much did they tip their server?
Answer:
12.8$
Step-by-step explanation:
20% is equal to 0.2. You multiply 64 by 0.2. I hope this helps.
The midpoint of TP is (3,0). If one endpoint, point T, has the coordinates
(-2,-6), what are the coordinates of the other endpoint of TP?
Answer: (7, 6)
Step-by-step explanation: Use the midpoint formula but instead you’re finding the coordinates of the other point(not sure if that makes sense). There’s a shorter way tho
Which expression isequivalent to (65) (62)?
bracket is necessary in order of operations
Answer:
yeah they are necessary in fact they are the first when you use BODMAS
sid has £5 to buy apples and bananas
Answer:
So he could use 3 pounds for apples, and two for bananas.
Step-by-step explanation:
Jordan doesn't know how to graph y > 2x + 1 . Can you explain to him using the words below how to do it?
Vocabulary to use:
slope, y-intercept, shade above/below, and dotted/solid line
Answer:
Step-by-step explanation:
Formula: Y= mx+b
m = slope | b = y-intercept
Equation: Y>2x+1
The Y-Intercept is the (1)
Shade above the dotted line because it is >.
You always shade on the left if the left side of the equation is > than the right.
If ≥ Then the line is Solid |||| If > Then the line is dotted.
Triangle ABC is dilated by a scale factor of 4. If A is located at (3,-5), where will A’ Be located?
Answer:
Step-by-step explanation:
Multiply both numbers by 4. That is your new coordinates. (12,-20)
Javier power walks 4 1/4 miles in 2 hours how many miles does he walk in one hour? ANSWER HAS TO BE IMPROPER AND IN SIMPLEST FORM
Which of the following is not true?
Answer:
d) 1/2 ÷ 4 = 1/2 • 4/1
Step-by-step explanation:
when dividing fractions use keep change flip (keep the first fraction, change the sign to multiplication, flip the second fraction)
when multiplying just multiply straight across
Question 3 of 10
If f (x)= 2(x)2 +5(x+2), complete the following statement:
f(2)=
Answer here
Answer:
f(2) = 28
Step-by-step explanation:
f(x) = 2(x)2 + 5(x+2)
f(2) = 2(2)2 + 5(2+2)
= 4.2 + 5(4)
= 8 + 20
= 28
hope this help you
Answer:
x = 1.6666666667
Step-by-step explanation:
x = 2×2 + 5x + 10
= 2x + 5x + 10
-10= 2x+ 5x - x
-10=6x
1.6666666667 = x
x= 1.6666666667
are some integers irrational
Mr X went shopping with a certain amount of money. He spent Rs. 10(¼) on buying a pen and Rs. 25(¾) in food. He then gave the remaining Rs. 16(½) to his friend. Calculate how much money he initially had.
Answer:
Rs. 52[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given parameters:
Amount spent on buying a food = Rs. 25.75
Amount spend on buying pen = Rs. 10.25
Amount given out to friend = Rs. 16.5
Unknown:
The total money he initially had = ?
Solution:
The total money he initially had :
= amount spent on food + amount spent on pen + amount given to friend
= Rs. 25.75 + Rs. 10.25 + Rs. 16.5
= Rs. 52.5 or Rs. 52[tex]\frac{1}{2}[/tex]
Charlene Langhorst's gross weekly salary is $680. Her federal withholding is $101.62. Her employer takes out the standard rates for FICA (Social Security/Medicare). The state tax is 1.5% of gross pay. Each week she pays $32.40 for medical insurance. What are Charlene's total weekly deductions? *
Answer:
Total deductions = $196.24
Step-by-step explanation:
Gross weekly salary = $680
federal holding = $101.62
FICA standard rate = 7.65% of gross earnings
= 7.65% of $680 = 0.0765 × 680 = $52.02
∴ FICA deductions = $52.02
state tax = 1.5% of gross pay = 1.5% of $680
state tax = 0.015 × 680 = $10.2
∴ state tax = $10.2
Medical insurance = $32.40
Total Deductions = 101.62 + 52.02 + 10.2 + 32.40 = $196.24
A dozen of roses cost $64.44. How much did each rose cost?
Answer:
5.37
Step-by-step explanation:
if 12 roses cost 64.44 and the price of one is x then
12x=64.44
x=64.44/12
x=5.37
If mZ3 = 74°, find each measure.
Answer:
m<1 = 74
m<2 = 74
m<4 = 74
Step-by-step explanation:
Solve for x
X-5=-9
(10 points)
x-5 = -9
add 5 to both sides
x = -4
Answer:
x = - 4
Step-by-step explanation:
x - 5 = -9
=> x = -9 + 5
=> x = - 4