Answer and Step-by-step explanation:
p= probability of straight stitching = 89.4% = 89.4/100= 0.894
n = the total sample of randomly selected baseballs
x = quantity of baseballs that have straight stitching = 5
x follows a binomial distribution
p(X=x) = nCx * p^x(1-p)^n-x
= 7C5 * 0.894⁵ * (1-0.894)⁷⁻⁵
= 21 * 0.571 * 0.011236
= 0.1347
= 13.47%
the probability is only 13.47% therefore the company has to stop the production line
If NO =17 and NP= 5x-6, find they value of x. Then find NP and OP
Greetings from Brasil...
We notice 2 dashes on the NO and NP line. This means that both are the same size. Since NO = 17 then OP is also 17 in length.
So
NP = NO + OP
NP = 17 + 17
NP = 34
As already said
NP = 5X - 6 = 34
5X - 6 = 34
X = 8If AC = 24, find the value of x. Then find AB and BC
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, the correct question is:
If B is between A and C, and AB=3x+1, BC=2x-7, and AC=24, then find the value of x and the value of AB
Answer: The line segment addition postulate states that if a point B is placed between a line segment with end points A and C, then the distance between the points can be expressed by the equation:
AB + BC = AC
But AB=3x+1, BC=2x-7, and AC=24, Hence:
3x + 1 + 2x - 7 = 24
3x + 2x + 1 - 7 = 24
5x - 6 = 24
5x = 24 + 6
5x = 30
x = 6
AB = 3x + 1 = 3(6) + 1 = 18 + 1 = 19
BC = 2x - 7 = 2(6) - 7 = 12 - 7 = 5
solve by completing the square. 4x²-8x-32=0
Answer:
4, -2
Step-by-step explanation:
Hello, please consider the following.
[tex]\begin{aligned}4x^2-8x-32=0 &\text{ ***We divide by 4.***}\\\\x^2-2x-8=0 &\text{ ***We complete the square. ***}\\\\(x-1)^2-1-8=(x-1)^2-9=0 &\text{ ***We move the constant to the right.***}\\\\(x-1)^2=9=3^2 &\text{ ***We take the root.***}\\\\x-1=\pm3 &\text{ ***We add 1.***}\\\\x=1+3=\boxed{4} \ & or \ x=1-3=\boxed{-2}\end{aligned}[/tex]
Thanks
An independent random sample is selected from an approximately normal population with an unknown standard deviation. Find the p-value for the given set of hypotheses and _t_ statistic. Also determine if the null hypothesis would be rejected at $\alpha$
Answer:
(a) P-value = 0.044
(b) P-value = 0.0022
(c) P-value = 0.4402
(d) P-value = 0.022
Step-by-step explanation:
The complete question is: An independent random sample is selected from an approximately normal population with an unknown standard deviation. Find the p-value for the given set of hypotheses and t-test statistics. Also, determine if the null hypothesis would be rejected at α = 0.05.
a) HA : μ > μ0, n = 11, T = 1.91
b) HA : μ < μ0, n = 17, T = -3.45
c) HA : μ [tex]\neq[/tex] μ0, n = 7, T = 0.83
d) HA : μ > μ0, n = 28, T = 2.13
(a) We are given the right-tailed test with sample size (n) of 11 and the test statistics of 1.91.
Now, the P-value of the test statistics is given by;
P-value = P([tex]t_n_-_1[/tex] > 1.91)
= P([tex]t_1_0[/tex] > 1.91) = 0.044
Since the P-value of the test statistics is less than the level of significance as 0.044 < 0.05, so we have sufficient evidence to reject our null hypothesis.
(b) We are given the left-tailed test with sample size (n) of 17 and the test statistics of -3.45.
Now, the P-value of the test statistics is given by;
P-value = P([tex]t_n_-_1[/tex] < -3.45)
= P([tex]t_1_6[/tex] < -3.45) = 0.0022
Since the P-value of the test statistics is less than the level of significance as 0.0022 < 0.05, so we have sufficient evidence to reject our null hypothesis.
(c) We are given the two-tailed test with sample size (n) of 7 and the test statistics of 0.83.
Now, the P-value of the test statistics is given by;
P-value = P([tex]t_n_-_1[/tex] > 0.83)
= P([tex]t_6[/tex] > 0.83) = 0.2201
For the two-tailed test, the P-value is calculated as = 2 [tex]\times[/tex] 0.2201 = 0.4402.
Since the P-value of the test statistics is less than the level of significance as 0.044 < 0.05, so we have sufficient evidence to reject our null hypothesis.
(d) We are given the right-tailed test with sample size (n) of 28 and the test statistics of 2.13.
Now, the P-value of the test statistics is given by;
P-value = P([tex]t_n_-_1[/tex] > 2.13)
= P([tex]t_2_7[/tex] > 2.13) = 0.022
Since the P-value of the test statistics is less than the level of significance as 0.022 < 0.05, so we have sufficient evidence to reject our null hypothesis.
If the length of JK is 3x and the length of LM is 12x and the length of the entire line JM is 25x , find the length of KL.
Answer:
10x.
Step-by-step explanation:
It is given that,
JK = 3x
LM = 12x
JM = 25x
Let as consider the line as shown in the below figure.
From the figure it is clear that,
[tex]JK+KL+LM=JM[/tex]
[tex]3x+KL+12x=25x[/tex]
[tex]KL+15x=25x[/tex]
[tex]KL=25x-15x[/tex]
[tex]KL=10x[/tex]
Therefore, the length of KL is 10x.
exponents and power - simplify and express the result with positive index
I hope u will get help frm it.....
Find the surface area of the pyramid shown to the nearest whole number.
6 ft
5 ft
5 ft
Not drawn to scale
a. 85 A
b. 145 ft
c. 60 i
d. 25 ft
Answer:
The answer is option AStep-by-step explanation:
Surface area of a pyramid =
area of base + area of triangular faces
Since it's a square based pyramid
It's surface area is
area of base + 4( area of one triangular face)
Since the square has equal sides
For square base
Area of a square = l²
where l is the length
From the question l = 5
So we have
Area of square base = 5² = 25ft²
For one of the triangular face
Area of a triangle = ½ × base × height
base = 5
height = 6
Area = ½ × 5 × 6 = 15ft²
So the surface area of the pyramid is
25 + 4(15)
= 25 + 60
We have the final answer as
Surface area = 85 ft²Hope this helps you
Simplify the algebraic expression 3+6(−9w+7)
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{ - 54w + 45}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{3 + 6( - 9w + 7)}[/tex]
Distribute 6 through the parentheses
⇒[tex] \sf{3 - 54w + 42}[/tex]
Add the numbers : 42 and 3
⇒[tex] \sf{ - 54w + 45}[/tex]
Hope I helped!
Best regards!!
55 liters = ______ microliters
When we transform the big quantity to the small one, we always have to multiply something. So micro refers x 10 to the power of 6
55 x 10^6 = 55,000,000 microliters.
Linear regression describes the extent to which _______ predicts ________. X; Y the predictor variable; the criterion variable the known variable; the to-be-predicted variable all of the above
Answer: the known variable; the to-be-predicted variable
Step-by-step explanation:
In statistics, linear regression is a technique to model the relationship between two variables ( one independent and other dependent).
It requires some previous data to plot a best fit line.
It is used to predict the values for dependent variable for each independent variable.
Here, independent variable = known variable and dependent variable = is to be predicted
Hence, Linear regression describes the extent to which the known variable predicts the to-be-predicted variable.
Find the slope of the line that contains the points (4,2) and (7,-4)*
Answer:
-2
Step-by-step explanation:
To find the slope of the line you have to use the equation,
(y2-y1)/(x2-x1)
In this case it is, (-4-2)/7-4)
This simplifies to -2 and this is the slope of the line
Answer:
-8/5
hope this help!
What type of graph would you use if you wanted to show the grade point averages of 10 individual students? Why?
Answer:
Histogram
Step-by-step explanation:
A histogram is a representation of approximate numerical data distribution. It was first introduced by Karl Pearson. Constructing a histogram, requires one to "bin" (or "bucket") the range of values, or say, divide the entire range of values into a series of Intervals, thereafter, count how many values fall into each interval. The bins well be specified as consecutive, and or non-overlapping intervals of a variable. The bins (intervals) is best left to be adjacent, and are often (but not required to be) of equal size.
An example of where a histogram would be used, is that of the distribution of grades on a school exam or the sizes of pumpkins, divided by size group, in a pumpkin festival.
Answer:
Bar graph
Step-by-step explanation:
It compares the data
A bakery makes 270 scones and 300 muffins each morning. What is the ratio of muffins to scones in simplest form?
Answer: 9 : 10 or 9/10.
Step-by-step explanation:
The ratio of muffins to scones is 300 : 270. Now to reduce it to the lowest term divide each by 30.
You will then get 9: 10
Arrange the operations into the order they should be performed in.
(60 + 15) - 3-2
Subtract 2.
Add 60 and 15.
Divide by 3.
1: Add 60 and 15.
2: Divide by 3.
3: Subtract 2.
Which are correct statements regarding proofs? Select three options.
In a paragraph proof, statements and their justifications are written in sentences in a logical order.
A two-column proof consists of a list statements and the reasons the statements are true.
A flowchart proof gives a visual representation of the sequence of steps without justifications.
A paragraph proof is a two-column proof in sentence form.
A two-column proof lists only the given information and what is to be proven.
Answer:
A, B, and D
Step-by-step explanation:
Just took the test :)
Answer:
a b d edge
Step-by-step explanation:
Find f. (Use C for the constant of the first antiderivative, D for the constant of the second antiderivative and E for the constant of the third antiderivative.)
f '''(t) = (t)^1/2 − 9 cos(t)
f(t) = _______.
You just need to integrate 3 times:
[tex]f'''(t)=t^{1/2}-9\cos t[/tex]
[tex]f''(t)=\displaystyle\int f'''(t)\,\mathrm dt=\frac23 t^{3/2}-9\sin t+C[/tex]
[tex]f'(t)=\displaystyle\int f''(t)\,\mathrm dt=\frac4{15} t^{5/2}+9\cos t+Ct+D[/tex]
[tex]f(t)=\displaystyle\int f'(t)\,\mathrm dt=\frac8{105} t^{7/2}+9\sin t+\frac C2 t^2+Dt+E[/tex]
what is the volume of the cubic figure? enter the answer in the box below
use the figure to answer the question
9m, 5m, 18m, 10m, 9m, 24m,9m (look at picture)
Answer:
[see below]
Step-by-step explanation:
The figure is made out of two rectangular prisms.
V = w * l * h
Volume for the left prism:
V = 9 * 5 * 24
V = 1080 m³
Volume for the right prism:
V = 9 * 18 * 10
V = 1620 m³
Combine both volumes:
1620 + 1080 = 2700
2700 cubic meters should be your answer.
Hope this helps.
200 is 10 times as much as 20 true
Answer:
yes
Step-by-step explanation:
20x10= 200 therefor its 10times as much
Let E1 be the event that tails come up when the coin is tossed the first time and E2 be the event that heads come up when the coin is tossed the second time. Drag the probability values from the right column and drop them in the corresponding events in the left column.
Answer:
Step-by-step explanation:
In the tossing of a fair coin, there are equal probabilities of getting a HEAD and getting a TAIL.
Total probability is always 1 and a coin has 2 faces - Head & Tail.
The probability of getting a Head is 1/2 = 0.5
The probability of getting a Tail is 1/2 = 0.5
E1 is the event that TAIL comes up when the coin is tossed the first time
E2 is the event that HEAD comes up when the coin is tossed the second time
The probability value for EVENT 1 is 0.5
The probability value for EVENT 2 is 0.5
A rectangle has an area of 35 square millimeters. The length of the rectangle is 7 millimeters. What is the width of the rectangle?
Answer:
5 millimetres
Step-by-step explanation:
Area of rectangle = lenght x width
35 = 7 x width
Width = 35/7
Width = 5 mm
The width of rectangle is 5 millimeters, whole length is 7 millimeters and area is 35 square millimeters.
What is rectangle?A rectangle is a part of a quadrilateral, whose corresponding sides are parallel to each other and equal, and makes right angle to each others.
Given that,
The area of rectangle = 35 square millimeters.
Also,
The length of the rectangle l = 7 millimeters.
Let the width of the rectangle is x millimeters.
To find the width of rectangle,
Use formula,
Area of rectangle = 35
length × width = 35
7 × x = 35
x = 5 millimeters.
The required width of rectangle is 5 millimeters.
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A machine can fill containers with 45 ounces of hazelnuts. The weight of a container is 2 ounces. After a container is filled, another machine weighs it. If a filled container’s weight differs from the desired weight by more than 2 ounces, the container is rejected. Create an equation that can be used to determine the minimum and maximum acceptable weights of the containers filled with hazelnuts. (Represent the total weight of the container and the nuts with x.)
Answer: 2 = |x − 47|
Step-by-step explanation:The total weight of the container and the nuts is x ounces. The desired weight of the container and the nuts is (45 + 2), or 47 ounces. The absolute error allowed is 2 ounces.
absolute error = |actual weight − desired weight|
Substituting the values, the equation obtained is 2 = |x − 47|.
Calculate the rate of change for the table of values.
X
у
2
50
3
75
4.
100
5
125
rate of change =
Answer:
25
Step-by-step explanation:
50:2=25
75:3=25
100:4=25
125:5=25
The rate of change of the given data in the table will be 25.
What is the rate of change?The momentum of a variable is represented by the rate of change, which is used to mathematically express the percentage change in value over a specified period of time.
The formula for the rate of change is straightforward: it simply divides the current value of a stock or index by the value from a previous time period.
The rate of change will be calculated by using the following formula:-
rate of change = ( y₂ - y₁ ) / ( x₂ - x₁ )
The rate of change will be calculated as below:-
50:2=25
75:3=25
100:4=25
125:5=25
Therefore, the rate of change of the given data in the table will be 25.
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A 120$ coat was on sale for 88$. What was the percent of change in the price of this coat.
Answer: about 73 %
Step-by-step explanation:
because 88 of 120 is about 73 %
The percent of change in the price of this coat is 26.66 %.
To find the percent of change in the price of this coat.
What is percentage?A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.
Given that:
Cost price of coat(C.P)= 120$
Selling price of coat(S.P)=88$
We know that ,
Percent change=change in price /C.P*100
Percent change=120$-88$/120$*100
Percent change=32/120*100
Percent change=26.66 %
Therefore, the percent of change in the price of this coat is 26.66 %.
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What is the sum of 87 and 234252464375675647
Answer:
234252464375675734
Step-by-step explanation:
addition...
Answer:
here 234252464375734
Which of the following equations shows the correct way to apply the Commutative Property of Addition?
Answer:
Commutative Property of Addition: a + b = b + a
Step-by-step explanation:
The Commutative Property of Addition implies that even on changing the order of addition the final result (i.e. the sum) remains the same.
Consider the addition of two numbers, say a and b:a + b = b + a
Suppose a = 5 and b = 6, then:
a + b = 5 + 6 = 11
b + a = 6 + 5 = 11.
Thus, a + b = b + a.
Consider the addition of three numbers, say a, b and c:a + b + c= a + c + b = b + a + c = c + a + b
Suppose a = 4, b = 3 and c = 6, then:
a + b + c = 4 + 3 + 6 = 13
a + c + b = 4 + 6 + 3 = 13
b + a + c = 3 + 4 + 6 = 13
c + a + b = 6 + 4 + 3 = 13.
Thus, a + b + c= a + c + b = b + a + c = c + a + b.
Using the cross multiplication method, which of the following is the solution to 21/(x+4) = 7/(x+2)?
Answer:
Step-by-step explanation:
Hello !
Using the cross multiplication method, which of the following is the solution to 21/(x+4) = 7/(x+2)?
21(x + 2) = 7(x + 4)
21x + 42 = 7x + 28
21x - 7x = 28 - 42
14x = -14
x = -14/14
x = -1
Answer:
3/(x+2)= x+1
Step-by-step explanation:
21/7=3
x/x= x
4/2=2
2. (04.01) Which point could be removed in order to make the relation a function? (4 points) {(-9, -8), (-8, 4), (0, -2), (4, 8), (0, 8), (1, 2)} O (4,8) O (0,8) O (-9, -8) O (1,2)
Answer:
We are given order pairs (–9, –8), (–{(8, 4), (0, –2), (4, 8), (0, 8), (1, 2)}.
We need to remove in order to make the relation a function.
Step-by-step explanation:
Note: A relation is a function only if there is no any duplicate value of x coordinate for different values of y's of the given relation.
In the given order pairs, we can see that (0, –2) and (0, 8) order pairs has same x-coordinate 0.
So, we need to remove any one (0, –2) or (0, 8) to make the relation a function. hope this helps you :) god loves you :)
On the first part of her trip Natalie rode her bike 16 miles and on the second part of the trip she rode her bike 42 miles. Her average speed during the second part of the trip was 6 mph faster than her average speed on the first part of the trip. Find her average speed for the second part of the trip if the total time for the trip was 5 hours.
Answer:
14 mph ( average speed during the second part of the trip )
Step-by-step explanation:
Let´s call "x" the average speed during the first part then
t = 5 hours
t = t₁ + t₂ t₁ and t₂ times during part 1 and 2 respectively
l = t*v ( distance is speed by time ) t = l/v
First part
t₁ = 16/x and t₂ = 42 / ( x + 6)
Then
t = 5 = 16/x + 42 /(x + 6)
5 = [ 16 * ( x + 6 ) + 42 * x ] / x* ( x + 6 )
5 *x * ( x + 6 ) = 16*x + 96 + 42 x
5*x² + 30*x - 58*x - 96 = 0
5*x² - 28*x - 96 = 0
We obtained a second degree equation, we will solve for x and dismiss any negative root since negative time has not sense
x₁,₂ = [28 ± √ (28)² + 1920 ] / 10
x₁,₂ = ( 28 ± √2704 )/ 10
x₁ = 28 - 52 /10 we dismiss that root
x₂ = 80/10
x₂ = 8 mph average speed during the first part, and the average speed in the second part was 6 more miles than in the firsst part. then the average spedd dring the scond part was 8 + 6 = 14 mph
Rewrite in simplest terms: -2(5d-9f)+7f-10(-9f-7d)−2(5d−9f)+7f−10(−9f−7d)
Answer:
= 5 ( 12d + 23f )
Step-by-step explanation:
-2(5d-9f)+7f-10(-9f-7d)
Open parenthesis
= -10d + 18f + 7f + 90f + 70d
Collect like terms
= -10d + 70d + 18f + 7f + 90f
= 60d + 115f
Factorise
= 5 ( 12d + 23f )
Therefore,
-2(5d-9f)+7f-10(-9f-7d) in its simplest form is 5 ( 12d + 23f )
Part A What is the area of the blue shaded figure ( π=3.14)? Justify your answer using equations, models, and/or words to explain your mathematical reasoning. Part B What is the perimeter of the blue shaded figure (π=3.14)? Justify your answer using equations, models, and/or words to explain your mathematical reasoning.
Answer:
1372cm²
Step-by-step explanation:
If this were a complete rectangle, it would be 50x40=2000cm². So we need to take that number and subtract the half-circle. A=[tex]\pi[/tex]r² A=3.14*20*20=1256
1256*1/2 = 628
2000-628=1372cm²
Answer:
1372 cm²
Step-by-step explanation:
First, find the area of the rectangle:
A = lw
A = 40(50)
A = 2000 cm²
Next, find the area of the semicircle:
A =([tex]\pi[/tex]r²) / 2
A = (3.14)(20)²
A = 1256/2
A = 628 cm²
Then, subtract the semicircle area from the rectangle's area:
2000 - 628
= 1372 cm²