Answer: 0.6841
Step-by-step explanation:
Given: Probability of all SMES would file for bank loans next year = 3.5% = 0.035
Sample size : n = 100
Binomial probability distribution formula :
[tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]
The probability that at least 3 will file bank loans next year :
[tex]P(x\geq3)=1-P(x<3)\\\\=1-(P(x=0)+P(x=1)+P(x=2))\\\\=1-(^{100}C_0(0.035)^0(1-0.035)^{100}+\ ^{100}C_1(0.035)^1(1-0.035)^{99}+^{100}C_2(0.035)^2(1-0.035)^{98})\\\\=1-(0.3159)\\\\=0.6841[/tex]
Hence, the required probability= 0.6841
Find the dot product of the given vectors.
u= -4i + 8j
v= -2i+j
Answer:
16
Step-by-step explanation:
Given
u = x₁i + y₁j and v = x₂i + y₂j , then
u • v = x₁x₂ + y₁y₂
Given
u = - 4i + 8j and v = - 2i + j , then
u • v = ( - 4 × - 2) + (8 × 1) = 8 + 8 = 16
Calvin took his friends to a movie for his birthday. The movie tickets cost $12 per person. He spent less than $180.
If x is the number of friends he took along, then the inequality that represents the situation is
.
Calvin took at most
friends to the movie.
Answer:
Answer: Your answer would have to be 12x<180
He took 14 friends.
Step-by-step explanation:
hope this helps and have a great rest of your day!
In the diagram below, line j and k are parallel. What is the value of x?
Answer:
41 degrees
Step-by-step explanation:
Alternate Interior Angles
John and Ndiba each improved their yards by planting rose bushes and geraniums. They bought
their supplies from the same store. John spent $44 on 7 rose bushes and 5 geraniums. Ndiba
spent $112 on 14 rose bushes and 14 geraniums. Find the cost of one rose bush and the cost of
one geranium.
i wanna know too.... dis u get the answer
Solve for b.
-9
____ + B= -1
3
Answer:
b = 6
Step-by-step explanation:
this is because you have to multiply by 3 on both sides then add 9 on both sides. then you get 6
Answer:
.
Step-by-step explanation:
Marni recorded the cost of different weights of apples and made a scatter plot of her data!
There are four question on there !!
Given:
The scatter plot and trend line.
To find:
Type of association, slope, equation of trend line and average cost of apple per pound.
Solution:
Form the given graph it is clear that the trend line passes through the two points (0,0) and (12,24).
Slope of trend line is
[tex]m=\dfrac{24-0}{12-0}[/tex]
[tex]m=\dfrac{24}{12}[/tex]
[tex]m=2[/tex]
Slope of trend line is positive. It means, it represents positive correlation.
So, the type of association of the scatter plot is positive association.
Therefore, the slope of trend line is 2.
The trend line passes through (0,0) have slope 2, so the equation of the trend line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-0=2(x-0)[/tex]
[tex]y=2x[/tex]
Therefore, the equation of trend line is [tex]y=2x[/tex].
Slope of the line is 2.
Therefore, the average cost of apples per pound is $2.
Pleaseeee helpppppp !!!!!!!Will mark Brianliest !!!!!!!!!!!!!
Answer:
So
GJ=35
Step-by-step explanation:
Two triangles are similar so
The equation is
4/24=x/30
1/6=x/30
6x=30
x=5
A bird traveled a horizontal distance of 300 ft, over a distance that
rose 150 ft. What is the angle of elevation that the bird made with the
ground (round to the nearest tenth)?
9514 1404 393
Answer:
26.6°
Step-by-step explanation:
The tangent of the elevation angle is the ratio of rise to run:
tan(angle) = 150 ft/(300 ft) = 1/2
Then the angle is the arctangent of this value:
angle = arctan(1/2) ≈ 26.6°
Curtis estimates that he can run 18 mph. About how many feet per second can Curtis run if there are 5280 feet in a mile?
Answer:26.4 feet per second
Step-by-step explanation:
Answer:
26.4 fps (feet per second)
Step-by-step explanation:
9x+16
3
<7
solve each inequality
Step-by-step explanation:
9+16×+3
28×<7
35x it's answer can I help
Who ever answers this YOUR A GENIUS!! (;
Answer:
A point on line PN is S
Step-by-step explanation:
Answer:
I think the answer is s.
hope this answer will help you
how do you know this pile of laundry is a mmixture
plz help
Answer:
The clothing items in it like pant shirts etc. or if it's just a load of shirts.
Step-by-step explanation:
3x-2 when x=3 what is the answer
Answer:
for me I think it's
Step-by-step explanation:
the answer is 7
I NEED HELP! If f(x)= 5x^2-3 and g(x)=x^2-4x-8, find (f-g)(x).
Answer:
(f - g)(x) = 4x² + 4x + 5
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = 5x² - 3
g(x) = x² - 4x - 8
(f - g)(x) is f(x) - g(x)
Step 2: Find (f - g)(x)
Substitute: (f - g)(x) = 5x² - 3 - (x² - 4x - 8)Distribute -1: (f - g)(x) = 5x² - 3 - x² + 4x + 8Combine like terms: (f - g)(x) = 4x² + 4x + 5solve for 2(x−3)<6 equation
Answer:
x < 6
Step-by-step explanation:
Distribute the 2 to the parentheses:
2(x − 3) < 6
2x - 6 < 6
Solve for x:
2x < 12
x < 6
So, x < 6 is the answer.
There are 430 people in a wave pool. Write an inequality that represents how many more people p can enter the pool.
Plz, Help me with this question.
Answer:
Hello :D
Step-by-step explanation:
Answer:
x+7 i think
Step-by-step explanation:
I’ll mark as BRANLIEST!!!
Plz help me!!! 45 POINTS!!
i need help with this its due todayy
Select the correct answer.
Which statement is true about the graphed cubic function?
Step-by-step explanation:
The cubic function passes the x-axis only once,
so there is 1 distinct real zeroes and 2 complex zeroes.
The function has only one real zero and two complex zeroes. Then the correct option is D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The graph of the cubic function is shown.
The intersection of the curve with the x-axis is known as the zeroes of the function.
From the graph, the curve that cut the x-axis is only one point. Then the function has only one real zero and two complex zeroes.
Thus, the correct option is D.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ5
Andre is trying to solve the equation 2x plus 6 equals 3x minus 8. The result of Andre’s first step was -x + 6 = -8. What was Andre’s first step?
Answer:
C. Subtracted 3x from each side.
Step-by-step explanation:
I'm not 100% sure that this is correct but it's the only one that makes sense in my brain. But I'm going to explain anyways.
2x + 6 = 3x - 8 (initial equation)
subtract 3x from 2x and it leaves you with -xsubtract 3x from 3x and it leaves you with 0 which is why there is no number there anymore.It could also be D. Subtract 6 from each side, which is why I'm confused. Hopefully this helps, sorry if it doesn't. But happy holidays! :))
Can u help me please?
Answer:
0.407 because in the others 7 comes before the 0
In the parrallelogram, find y.
Answer: I think it’s b which is also 5
Step-by-step explanation:
In the link
if I did it wrong someone pls correct me
how are bar graphs and picture graphs useful ways to display data???????????????????????????
Answer:
Bar Graph is useful because its easy to see, and if you look at it after 2 years, you could of know about it in a few seconds. Its usually correct to use bar graphs. Like you'll see bar graph's more often than picture graphs.
Picture graphs is useful because displaying data would be easier. Memorizing it would be better and possible.
I don't really have much to say about picture graphs, so its reasonable to give the other person brainliest.
whats the LCM of 5 and 60?
Need help on this ASAP !!!!!!!!!!!! Answer correctly. Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
You have to use ur ruler so u can see what the longest side is, So basically use the ruler and look up the centimetre mark and then it shows you what number is at and whatever the biggest number is is what the longest side is.
What is the slope of the line shown?
what is 78 million in scientific notation?
The angles of a triangle are described as follows: Angle A is the largest angle; it's measure is twice the measure of Angle B. The measure of Angle C is 10 more than one-third of Angle B. Find the measures of angle B?
Answer:
[tex]\bold{\angle B = 51^\circ}[/tex]
Step-by-step explanation:
Given a [tex]\triangle ABC[/tex] such that [tex]\angle A[/tex] is the largest.
[tex]\angle A[/tex] is equal twice of [tex]\angle B[/tex]
[tex]\angle C[/tex] is 10 more than one third of [tex]\angle B[/tex]
To find:
Measurement of [tex]\angle B[/tex].
Solution:
Let [tex]\angle B =x^\circ[/tex]
As per question statement:
[tex]\angle A = 2\times \angle B=2x^\circ[/tex]
[tex]\angle C = \dfrac{1}{3}\angle B +10= \dfrac{1}{3}x +10 ^\circ[/tex]
Using the angle sum property of a triangle i.e. sum of all the three internal angles is equal to [tex]180^\circ[/tex].
[tex]2x+x+\dfrac{1}{3}x+10 = 180\\\Rightarrow \dfrac{10}{3}x =170\\\Rightarrow x = 51^\circ[/tex]
Therefore, the answer is:
[tex]\bold{\angle B = 51^\circ}[/tex]
PLEASE HURRY I HAVE A LITTLE BIT OF TIME TO TURN IT IN
when is Ann's distance from home staying the same? give a reason to support your answer
Answer:
4.25-5 minutes
Step-by-step explanation:
Its shown in the graph and table that the speed was 0 between those times.