Answer:
0.7627
Step-by-step explanation:
This is a binomial probability problem
Given :
Number of trials, n = 5
p = number of correct option / total options = 1/4 = 0.25
q = 1 - p = 1 - 0.25 = 0.75
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
Getting atleast 1 correct :
P(x ≥ 1) = p(x = 1) + p(x = 2) + p(x = 3) + p(x =4) + p(x = 5)
P(x =1) = 5C1 * 0.25^1 * 0.75^4 = 0.3955
P(x =2) = 5C2 * 0.25^2 * 0.75^3 = 0.2637
P(x =3) = 5C3 * 0.25^3 * 0.75^2 = 0.0879
P(x =4) = 5C4 * 0.25^4 * 0.75^5 = 0.0146
P(x =5) = 5C5 * 0.25^5 * 0.75^0 = 0.0009
P(x ≥ 1) = 0.3955 + 0.2637 + 0.0879 + 0.0146 + 0.0009 = 0.7627
P(x ≥ 1) = 0.7627
Henry's Pizza sells pizza by the slice for lunch. An employee recorded how many slices of each type of pizza were sold today.
onion 4
pepperoni 36
cheese 20
supreme 6
veggie 16
What is the experimental probability that the first slice sold during lunch tomorrow will be a slice of cheese pizza?
24% (24/100)
Got answer by adding all of them together and dividing by 20
Answer:
10/41
Step-by-step explanation:
find area of the circle using 3 as pi
[tex]a = \pi \times {r}^{2} \\ a = 3 \times {r}^{2} [/tex]
Hey, welcome to Brainly! You need to attach a picture, for users to give you an answer (or give us the radius of the circle.) If you have the radius of the circle, multiply 3 by the radius square (πr^2)
Practice: Find the interest rate on a $1,500 loan with $1,125 in interest over 3 years.
Answer: 25%
Step-by-step explanation:
The formula to calculate the simple interest is given as:
Interest = (Principal × Rate × Time) / 100
We then slot the values given into the formula
1125 = (1500 × Rate × 3)/100
Cross multiply
1125 × 100 = 4500 × Rate
Rate = 112500 /4500
Rate = 25
The interest rate is 25%.
PLease help me out will give u brainiest
Answer: 252 ft
Step-by-step explanation:
Perimeter is 2(l + w), so when length and width are scaled by 3.5 the new perimeter is 2(3.5l + 3.5w), when factored is 7(l+w). since we are multiplying both sides by 3.5, we multiply 72 by 3.5 to get 252.
HELLP PLZ ZZZZZZ FOR MY HOMEWORK......
Answer:
4 books
Step-by-step explanation:
$3.80 divided by 95cents = 4
if you invest in $1600 at 5.25% for 18 months, how much simple interest is earned
Answer:
$126
Step-by-step explanation:
P=$1600
R=5.25%
T=18/12=3/2
NOW
WE HAVE,
S.I=PTR/100
=(1600*3/2*5.25)/100
=25200/200
=$126
HENCE,$126 is earned.
Find the mean of the data in the bar chart down below.
3.) If y vanes inversely as x, and y = 9 when x = 4, find y when x =12
Answer:
y= 36
Step-by-step explanation:
if y varies directly as x, and y=9 when x=4, find y when x=16
.
When you see "direct variation" think:
y = kx
.
To find k, use "y=9 when x=4":
y = kx
9 = k(4)
9/4 = k
.
so, our equation is:
y = (9/4)x
.
now, we can answer:
find y when x=16
y = (9/4)x
y = (9/4)(16)
y = (9)(4)
y = 36
Convert to standard form.
7.32 x 10-9
Answer:
73.2x - 9
Step-by-step explanation:
Answer:
7.32 x 10-9 =64.2
Step-by-step explanation:
can someone help me plzz !! i need to know the answer!! its an Algebra 1 question.
Answer: C
Step-by-step explanation:
Mistook the last one for different type of math apologies...
I just answered in the comments.
The correct answer is option C.
I need help!!! 20 points!!!
Answer:
h= 33mm
volume of square pyramid =1/3 Sh
5 x 5=25 /3 =8.3
275/8.3 =33
algebra 1 help!!!!!!!!!
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of expo functions.
f(x) = -8(2)^x - 12 ,
for f(0) ,here substitute x = 0
so we get as ,
==> f(0) = -8(2)^0 -12
==> f(0) = -8-12
==> f(0) = -20
hence, f(0) = -20
Answer:
Step-by-step explanation:
If it went from f(x) ⟹ f(0), that means that x=0.
So, you would plug in 0 for x in f(x)=-8(2)^x-12.
After plugging in the value of x, x=0, into the equation, you should have
f(0)=8(2)^0-12
Now, we are solving for f(0) (or f(x)).
You would use PEMDAS to solve this:
P-PARENTHESIS
E-EXPONENT
M-MULTIPLICATION
D-DIVISION
A-ADDITION
S-SUBTRACTION
There are no parenthesis
there are exponents,
(2)^0 and that =1
so we have f(0)=8(1)-12
there is multiplication, 8(1) which =8
so now we have f(0)=8-12
there is no division
there is subtraction
8-12, which equals -4
f(0)=-4
A polynomial has zeros x = 2, x = 0, X = 1, X = 2
What is the polynomial in factored form?
A) f(x) = x(x - 2)(x + 1)(x + 2)
B) f(x) = x(x + 2)(x-1)(x + 2)
C) f(x) = x2(x + 2)(x - 1)(x - 2)
D) f(x) = x(x + 2)(x - 1)(x - 2)
Answer:
f(x)= x(x+2)(x-1)(x-2)
Step-by-step explanation:
before taking the zeros each zeros were in the forrm
x+a=0 where 'a' is any number
then after taking the zeros, the zeros were in the form x=0 x=2 x=1
so we are gonna take then back to the form before taking the zeros
A particular bacteria doubles in area on a petri dish every day, and on the first day the bacteria covers 3 mm2. Would this story represent exponential growth or exponential decay?
Answer:
exponential growth
Step-by-step explanation:
HELP FOR 10 posits plz
Answer:
2x+7+73=180
2x=100
x=50
and the BDH m =107
which ordered pair represents a point on the line y=2x+1
Answer:
(0,1) , (1,3) , (2,5) , (3,7) , (4,9) , (5,11) are examples of points on the line
y = 2x + 1.
How are the shapes alike?
1) Each shape has 6 edges.
Each shape has 8 faces.
Each shape has 12 edges.
Each shape has 7 faces.
Answer:
B
Step-by-step explanation: Count the egdes
The rate of electricity charge on consumption of less
than 150 units are as follows: Rs. 7.30 per unit for
50 units and Rs. 8.60 per unit for 51-150 units. How
many units can be consumed by Rs 1139?
Answer:
140 units
Step-by-step explanation:
Our first task is to determine the amount left for electricity consumption after having bought the first 50 units at Rs. 7.30 per unit
Cost of first 50 units:
1unit=Rs. 7.30
50 units=Rs. 7.30*50
50 units=Rs.365
Amount left=total amount-cost of 50 units
total amount for consumption=Rs 1139
Amount left=Rs 1139-Rs.365
Amount left=Rs 774
Units consumable with the balance=Rs 774/Rs. 8.60
Units consumable with the balance=90 units
Units that can be consumed with Rs 1139=50 units+90 units
Units that can be consumed with Rs 1139=140 units
jessie will pack a suitcase with books. The total weight of the suitcase and books can be no more than 50 pounds. The empty suitcase weighs 5.7 pounds. Each book weighs 2.4 pounds.
Answer:
20 is the answer
Step-by-step explanation:
If you multiply 2.4 enough times until you hit 50 it’s 20x2.4 bc 2.4x21 is 50.4 a little over
If there are 4 outcomes, what is the
probability that I get tails then tails?
Answer:
50%
Step-by-step explanation:
because it is a two side coin
What is cumulative
frequency?
Answer:
Cumulative frequency analysis is the analysis of the frequency of occurrence of values of a phenomenon less than a reference value. The phenomenon may be time- or space-dependent. Cumulative frequency is also called frequency of non-exceedance
Step-by-step explanation:
The number 55 is multiplied by a 55 digit number that contains only ones. What is the sum of the digits of the product
Answer:
[tex]Sum = 64[/tex]
Step-by-step explanation:
Given
[tex]n = 55[/tex]
[tex]x \to 55\ digit[/tex] 1's
Required
The sum of the [tex]digits[/tex] of the [tex]product[/tex]
To do this, we start with smaller numbers
[tex]55*11 = 605[/tex] ---- 2 digits
[tex]55*111 = 6105[/tex] --- 3 digits
[tex]55*1111 = 61105[/tex] -- 4 digits
[tex]55*11111 = 611105[/tex] -- 5 digits
[tex]55*111111 = 6111105[/tex] --- 6 digits
Notice that as the 1's increase on the left-hand side, the 1's increase on the right-hand side
The difference between the count of both 1's is 2 1's
So, for n digits, we have: 6[n - 2, 1's]05
So, the sum is:
[tex]Sum = 6 + (n - 2) + 0 + 5[/tex]
For 55 digit, [tex]n = 55\\[/tex]
So, we have:
[tex]Sum = 6 + (55 - 2) + 0 + 5[/tex]
[tex]Sum = 6 + 53 + 0 + 5[/tex]
[tex]Sum = 64[/tex]
GOD BLESS/GEOMETRY/HELP PLS
10 POINTS— WHATS THE AREA??
Answer:
912
Step-by-step explanation:
Answer:
[tex]Perimeter = 124m\\\\Length = 38m\\\\Perimeter = 2(length + breadth)\\\\124 = 2( 38 + breadth)\\\\62 = 38 + breadth\\\\breadth = 24m\\\\Area = length \times breadth = 38 \times 24 = 912m^2[/tex]
The product of two rational number is 7. If one of the number
is 12, Find the other national number
Answer:
7/12 OR 0.58 (2.d.p)
Step-by-step explanation:
Product means that the two rational numbers are being multiplied to get 7.
The question also tells us that one of them is 12. Therefore we can write an equation to express this information where we represent the unknown rational number using the letter 'r':
r x 12 = 7
Rearrange to find r:
r x 12 / 12 = 7 /12
r = 7/12 = 0.5833....
= 0.58 (2.d.p)
Hope this helped!
Answer:
[tex]y = \frac{7}{12}[/tex]
Step-by-step explanation:
x × y = 7
We are given x = 12.
12 × y = 7
Rearrange.
y × 12 = 7
Divide each side by 12.
y × 12 ÷ 12 = 7 ÷ 12
Simplify.
[tex]y = \frac{7}{12}[/tex]
Lea wrote a number riddle. Her clues were: The value of the 9 is ten times the value of the 9 in 329,513. The value of the 2 is one-tenth the value of the 2 in 7,562. The value of the 6 is one-tenth the value of the 6 in 4.68. Which number is an answer to Lea's riddle?
Answer:
iohrrojberu0fb0u35gbu5bi4i
Step-by-step explanation:
,eknefinfkirnr
WILL MARK BRAINLIEST ASAP
Answer:
4.5 is the answer to k I've done this before
Answer:
3.5
Step-by-step explanation:
19.5 divided 6.5 is 3. 16.5 divided by 5.5 is also 3. Therefore you must
divide 10.5 by 3 (in order to find K) which leads to 3.5.
The first term of a geometric sequence is 3 and the fifth term is 768 what is the sum of the first 9 terms of the corresponding series
Answer:
262143
Step-by-step explanation:
[tex]a_{n} = a r^{n - 1}[/tex] a = 3 n = 5 [tex]a_{5} = 768[/tex]
768 = 3(r)^4 where r is the common ratio
r^4 = 256
r = 4
S = [tex]\frac{a(r^{n}-1) }{r - 1}[/tex] n = 9 r = 4 a = 3
S = [tex]\frac{3(4^{9}-1) }{4 - 1}[/tex] = [tex]\frac{3(262144-1) }{3}[/tex]
= 262143
Dennis has a credit card with an APR of 13.09% and a billing cycle of 30 days. The following table shows his transactions with that credit card in the month of November.
If the finance charge for November is $4.93, which method of calculating the finance charge does Dennis’s credit card company use?
Answer:
previous questions have been asked using this same question
Step-by-step explanation:
A.) adjusted balance method
The stem-and-leaf plot below gives the test scores for the 18 students in Mr. Uzun's English class. Use the plot to answer the questions that follow.
Test score
Graph points (-4,-1) (4, 3). Write the equation of the line that passes through the points in slope-intercept form.
Hurry please! I need it by the next 15 minutes ♡︎☺︎︎.