Complete question :
When Hiroto is writing, there is 0.92 probability that there will be no spelling mistakes on a page. One day, Hiroto writes an essay that is 11 pages long.
Assuming that Hiroto is equally likely to have a spelling mistake on each of the 11 pages, what is the probability that he will have a spelling mistake on at least one of the pages?
Answer:
0.60
Step-by-step explanation:
The question meets the requirement for a binomial probability distribution :
Recall:
P(x = x) = nCx * p^x * q^(n-x)
Given :
Probability of making a spelling mistake = 1 - p(not making) = 1 - 0.92 = 0.08
Hence,
p = 0.08 ; q = 0.92
n = 11
P(x ≥ 1) = 1 - p(x = 0)
P(x = 0) = 11C0 * 0.08^0 * 0.92^11
P(x = 0) = 1 * 1 * 0.3996373778857415671808
P(x = 0) = 0.399
P(x ≥ 1) = 1 - p(x = 0)
P(x ≥ 1) = 1 - 0.399
P(x ≥ 1) = 0.601
P(x ≥ 1) = 0.60
The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180. The distribution of unrestrained compressive strength may be somewhat skewed. We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200. Test using α = 0.01.
Answer:
The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.
Step-by-step explanation:
We want to determine whether the data indicate that the true average unrestrained compressive strength is less than the design value of 3200.
At the null hypothesis, we test if the mean is at the design value of 3200, so:
[tex]H_0: \mu = 3200[/tex]
At the alternate hypothesis, we test if it is less than the design value of 3200, so:
[tex]H_a: \mu < 3200[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
3200 is tested at the null hypothesis:
This means that [tex]\mu = 3200[/tex]
The sample average unrestrained compressive strength for 50 specimens of a particular type of brick was computed to be 3120 psi, and the sample standard deviation was 180.
This means that [tex]n = 50, X = 3120, s = 180[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{3120 - 3200}{\frac{180}{\sqrt{50}}}[/tex]
[tex]t = -3.14[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean below 3120, which is the p-value of t = -3.14, using a one-tailed test, with 50 - 1 = 49 degrees of freedom.
With the help of a calculator, the p-value of the test is 0.0014
The p-value of the test is 0.0014 < 0.01, meaning that the data indicates that the true average unrestrained compressive strength is less than the design value of 3200.
3+6+2=61
2+8+3=31
4+7+4=42
5+6+4=62
8+7+4=?????
Answer:
6mm AR, a 6 mm wildcat version which shares 6.5 Grendel's casing, but sends a (usually) lighter projectile up to 1,000 yards (900 m). 6.5×42mm, also known as 6.5 MPC (Multi Purpose Cartridge), based on a necked up .223 Remington case.
Step-by-step explanation:
Answer: 19
Step-by-step explanation:
8+7+4
8+7=15
15+4=19
If 50 students were surveyed about their after-school sports, how many students play soccer?
Answer:
15
Step-by-step explanation:
30% is equal to 0.3 as a proportion
Multiply 50 by 0.3 to get the number of students who play soccer.
50 X 0.3 = 15
Answer:
15
Step-by-step explanation:
football and track =50% =25 students
20% of 50 is =10 students then 25 +10 =35-50=15 students which is how many plays soccer
The height of the equilateral triangle below is 15 units. What is the value of x?
An equilateral triangle is shown. A perpendicular bisector cuts the triangle into 2 equal parts. They hypotenuse has a measure of x.
15 StartRoot 3 EndRoot
30 StartRoot 3 EndRoot
StartFraction 15 Over StartRoot 3 EndRoot EndFraction
StartFraction 30 Over StartRoot 3 EndRoot
Answer: b
Step-by-step explanation: on edge
Answer: C. 30 StartRoot 3 EndRoot
Step-by-step explanation:
Took the test/exam
Three pounds of bananas cost $1.47 and 2 pounds of grapes cost $1.18. Which fruit is less expensive per pound? Explain how you know
Answer:
Grapes are less expensive
Step-by-step explanation:
First, find how much money 1 pound of each fruit is:
Bananas: $1.47 / 3 = $0.49
Grapes: $1.18 / 2 = $0.59
Compare:
0.49 < 0.59
So grapes are less expensive
Plz help me well mark brainliest if correct!....
Answer:
the answer to the question is A
What is the constant of proportionality for the table below?
Answer:
Equation:y = 1/2x . or x = 2y
Constant = 2
Step-by-step explanation:
Input y = output x
the first input/output says that when inputed 2, the number 1 is outputted.
Similarly, when 5 is inputted, 2.5 is the output.
1/2 = 2.5/5
That means that y = 1/2 x
or x = 2y
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Problem ID: PRAFJA9
Look at this graph.
What is the slope of line k?
(I will give you the brainiest thing )(please answer quick)
Answer:
10/4
Step-by-step explanation:
Jamie's Famous Hamburgers has 423.1 pounds of hamburger. If Jamie sells 279.51 pounds of hamburger for lunch now, how many pounds will be left over for dinner? (Try to do this problem without a calculator!)
Answer: The answer is 143.59
Step-by-step explanation:
I just subtracted 279.51 from 423.1! :)
A jogger is going around a circular track with a radius of 100 ft. Determine the
ANGULAR speed of the jogger given that they run a lap every 3 minutes, to the nearest tenth. (recall:theta must be in radians)
Answer:
ω= 0.01 rad/s
Step-by-step explanation:
The given data is question is ,
r = 100ft .t = 3 min = 180s.Firstly let's find the linear speed. Which is
=> v = Circumference/time
=> v = 2πr/180s
=> v = 3.14 × 100ft ./ 90
=> v = 3.48 ft/s ≈ 1m/s
Now the angular speed and linear speed are related as follows ,=> v = r[tex]\omega[/tex]
=> [tex]\omega[/tex] = v/r
=> [tex]\omega[/tex] = 1/100
=> [tex]\omega[/tex] = 0.01 rad/s
Hence the angular speed is 0.01 rad/s.An arena charged $119.49 for 4 tickets. This price included a $9.49 service fee What was the cost of one ticket?
Enter your answer in the box.
$
Answer: $27.50
Step-by-step explanation: So first off you would subtract the service fee from the total amount to get $110.00 then you would divide that by four to get $27.50 per ticket.
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
The function f is defined by the following rule
f(x)=3x-3
Complete the function table
x f(x)
-5
-1
1
2
4
Answer:-18
-6
0
3
9
Step-by-step explanation:
Transform the equation 2x^2 + 4xy + 5y^2 - 4x - 22 to parallel axes
through (-2,3).
Answer:
I think you are happy with answer
Whats the Diameter? I really need help understanding this
Answer:
1.8 in.
Step-by-step explanation:
Hi there!
1) Determine the radius of the base
[tex]V=\frac{1}{3} \pi r^2h[/tex] where r is the radius of the base and h is the height of the cone
Plug in the known values (h=4.2, V=3.6)
[tex]3.6=\frac{1}{3} \pi r^2(4.2)[/tex]
Isolate r; divide both sides by 4.2
[tex]\frac{3.6}{4.2} =\frac{1}{3} \pi r^2\\\frac{6}{7} =\frac{1}{3} \pi r^2[/tex]
Multiply both sides by 3
[tex]\frac{6}{7}*3 =\pi r^2\\\frac{18}{7}=\pi r^2[/tex]
Divide both sides by π
[tex]\frac{18}{7\pi }=r^2[/tex]
Take the square root of both sides
[tex]\sqrt{\frac{18}{7\pi }} =r[/tex]
2) Determine the diameter
Now that we have the radius, to find the diameter, multiply r by 2:
[tex]d=\sqrt{\frac{18}{7\pi }}*2\\d=1.8[/tex]
Therefore, the diameter is 1.8 in. when rounded to the nearest tenth.
I hope this helps!
Answer:
1.8 in
Step-by-step explanation:
we know the equation for the volume of a cone is pi*r^2 h/3=3.6
pi r^2 *4.2=10.8
solve for r
r is about 0.9 so diameter is 1.8 in
Convert to the given unit. 65 m = cm
Answer:
65m = 6500 Cm.
Step-by-step explanation:
Write the equation of the line passing through the given points.
Answer:
a) y=4x-12
b) 4x-y=12
Step-by-step explanation:
1) Solve for slope: y2-y1/x2-x1: (8-0)/(5-3)=4
2) plug into y=mx+b and solve for b, y=4x+b: 0=4(3)+b, b=-12
3) rearrange into ax+by=c form
O2) Work out 30% of £5.80.
Answer:
1.74
Step-by-step explanation:
Multiply 5.80 times .30
Answer:
1.74
Step-by-step explanation:
To solve this, lets multiply the value by the percentage.
Our value is 5.8
And our percentage is 30%.
Lets convert this into a decimal, to do this, divide 30 by 100:
30/100
=
0.3
Now that we have the percentage in decimal form, multiply it by the 5.8:
5.8*0.3
=
1.74
This is your answer!
Hope this helps! :)
ARE the square root of the positive integer irrational? if not given an example of the square root of a number that is a rational number
9514 1404 393
Answer:
no; √4 = 2
Step-by-step explanation:
If an integer is the square of another integer, its square root is rational. For example, 9 = 3², so √9 = 3, a rational number.
The square root of an integer is irrational if and only if the integer is not a perfect square.
How do I work this out?
Answer:
Option 2, 3(5y-11) - 2
Hope this helps!
Select all number combinations that COULD make a triangle
4 cm, 5 cm, 7 cm
5 cm, 6 cm, 11 cm
2 cm, 9 cm, 10 cm
3cm, 4 cm, 10 cm
Answer:
2 cm, 9 cm, 10 cm
Step-by-step explanation:
To know if a combination is a triangle all you have to do is see if the combinations add up to 180
(2)(9)(10)=180 therefore it is a triangle.
All the other angles do not add up to 180 so they can't be triangles!!
(4)(10)(3) =120
(5)(6)(11) =330
(4)(5)(7) =140
Distributive property
2(x + 1)
Answer:
Multiply using the distributive property which will give you the answer 2x + 2.
Step-by-step explanation:
Answer:
2x + 1
Step-by-step explanation:
2 * (x + 1) |
\/
2x + 1
Due soon pls help - who ever answers get brainiest !
Answer:
D if it helps
Step-by-step explanation:
I need help on this please!
No links
Study guide for exam.
Solve the following equation for x 2log: 2x = 2 Describe what method you used to solve the problem and why?
Answer:
look at the picture i sent
Write ONLY your numeric answer. You do not need the degree symbol.
B
E
310
D
с
Find mZDEC.
Answer:
118
Step-by-step explanation:
All angles inside a triangle add up to 180. D and C is the same. 31 x 2 = 62
180 - 62 = 118
(5x + 10) + (2x -3) =
Answer:
7x + 7
Step-by-step explanation:
What is the circumference of a circle with a diameter of 58 centimeters?
Step-by-step explanation:
by using the formula of circumference with diameter pie ×diameter
Help plzz will mark brainleast
Answer: I would say that it is 7
Step-by-step explanation:
30 : 24
b : 4 (divide both sides by 6)
5 : 4
Equivalent to 5 would be 7
Sorry if its wrong
Abel wants to go on a trip around the world so he determines a budget for a month long trip in 14 months. If Abel determines the following cost, how much would he need to save a month in order to afford the trip?
Travel: $1,383.12
Food: $613.05
Hotel: $2,369.72
Other: $816.82