Answer:
37
Step-by-step explanation:
Before her uncle's gift, Marie had 14 fewer than 51 shark teeth:
51 -14 = 37
Marie had 37 shark teeth.
Sunspots have been observed for many centuries. Records of sunspots from ancient Persian and Chinese astronomers go back thousands of years. Some archaeologists think sunspot activity may somehow be related to prolonged periods of drought in the southwestern United States. Let x be a random variable representing the average number of sunspots observed in a 4-week period. In a random sample of 40 such periods from Spanish colonial times, the sample mean is x¯ = 47.0. Previous studies of sunspot activity during this period indicate that σ = 35. It is thought that for thousands of years, the mean number of sunspots per 4-week period was about µ = 41. Sunspot activity above this level may (or may not) be linked to gradual climate change. Do the data indicate that the mean sunspot activity during the Spanish colonial period was higher than 41? Use α = 0.05. (a) State the appropriate null and alternate hypothesis. (b) Compute the value of test statistic. (c) Using P-value method, state a conclusion.
Answer:
(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 41
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 41
(b) The value of z test statistics is 1.08.
(c) We conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.
Step-by-step explanation:
We are given that in a random sample of 40 such periods from Spanish colonial times, the sample mean is x¯ = 47.0. Previous studies of sunspot activity during this period indicate that σ = 35.
It is thought that for thousands of years, the mean number of sunspots per 4-week period was about µ = 41.
Let [tex]\mu[/tex] = mean sunspot activity during the Spanish colonial period.
(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 41 {means that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 41 {means that the mean sunspot activity during the Spanish colonial period was higher than 41}
The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample mean = 47
σ = population standard deviation = 35
n = sample of periods from Spanish colonial times = 40
So, the test statistics = [tex]\frac{47-41}{\frac{35}{\sqrt{40} } }[/tex]
= 1.08
(b) The value of z test statistics is 1.08.
(c) Now, the P-value of the test statistics is given by;
P-value = P(Z > 1.08) = 1 - P(Z < 1.08)
= 1 - 0.8599 = 0.1401
Since, the P-value of the test statistics is higher than the level of significance as 0.1401 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.
PLZZ HELP
Graph the function f(x)=x^2-4x-12 on the coordinate plane.
A)What are the x-intercepts
B)What is the y-intercept?
C)What is the vertex?
Answer:
A) (-2,0) and (6,0)
B) (0,-12)
C) (2,-16)
Step-by-step explanation:
In the graph you see below, you can tell that the two x intercepts are at (-2,0) and (6,0), while the y intercept is at (0,-12). You can also see that the vertex is at (2,-16). Hope this helps!
The x intercept will be ( -2,0 ) and ( 6,0 ) , y intercept will be ( 0, -12 ) and vertex will be at ( 2 , -16 ).
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
Given the function,
f(x)=x²-4x-12
A) x-intercept;
For the x-intercept, the value of y or f(x) will be 0 so.
0 = x² -4x -12 ⇒ x = -2 , 6
So
x-intercept will be ( -2,0 ) and ( 6,0 ).
B) y-intercept
At the y-intercept the value of x will be 0 so
f(x) = -12
So
The y-intercept will be ( 0, -12 ).
C) Vertex
For vertex the slope will be 0 so
f'(x) = 0 ⇒ 2x - 4 = 0 ⇒ x = 2
The value of y at x = 2 will be
f(2) = -16
so
vertex will be at ( 2, -16 ).
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there are two identical fridges for desserts. one of the fridge has 5/8 of its room left and the other fridge is only 1/8 full. how much room is left?
Answer:
1.5
Step-by-step explanation:
5/8 + 7/8= 1.5 or 1 1/2
Answer:
Read below.
Step-by-step explanation:
First fridge: [tex]\frac{8}{8} -\frac{5}{8} =\frac{3}{8}[/tex]
Second fridge: [tex]\frac{8}{8} -\frac{1}{8} =\frac{7}{8}[/tex]
[tex]\frac{7}{8} +\frac{3}{8} = \frac{10}{8} = 1 \frac{2}{8}=1\frac{1}{4}[/tex]
Combined [tex]1 \frac{1}{4}[/tex] fridge space is left.
Please help again I know I’m annoying with these it’s about angles ...
Answer: 40°
Step-by-step explanation: angle XYW is 50°.XYW is made up of two angles XYZ and ZYW
So, XYZ+ZYW= XYW (equation 1)
Given XYZ= 10° and XYW= 50°
10°+ZYW= 50° (substituting the values of equation 1)
ZYW= 50-10
ZYW= 40°
PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)
(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)
A sprinkler swings back and fourth between A and B in such a way that <1 is congruent to <2. <1 and <3 are complementary, and <2 and <4 are complementary. If m<1=47.5 degrees, find m<2, m<3, and m<4
Answer:
Congruent
Step-by-step explanation:
Answer:
I think is congruent, but I m not sure
Which describes the cross section of the rectangular prism that passes through vertices A, B, C, and D?
Answer:
C
Step-by-step explanation:
Suppose that Matthew can choose to get home from work by car or bus.
When he chooses to get home by car, he arrives home after 7 p.m. 6 percent of the time.
When he chooses to get home by bus, he arrives home after 7 p.m. 25 percent of the time.
Because the bus is cheaper, he uses the bus 70 percent of the time.
What is the approximate probability that Matthew chose to get home from work by bus, given that he arrived home after 7 p.m.?
A-70%
B-91%
C-18%
D-20%
Answer:
B-91%
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: arriving home after 7 p.m.
Event B: getting home by bus.
When he chooses to get home by bus, he arrives home after 7 p.m. 25 percent of the time.
This means that [tex]P(A|B) = 0.25[/tex]
Because the bus is cheaper, he uses the bus 70 percent of the time.
This means that [tex]P(B) = 0.7[/tex]
Probability of getting home after 7 p.m.
70% of the time he uses bus, and by bus, he arrives arrives home after 7 p.m. 25 percent of the time.
100 - 70 = 30% of the time he uses the car, and by car, he arrives home after 7 p.m. 6 percent of the time.
So
[tex]P(A) = 0.7*0.25 + 0.3*0.06 = 0.193[/tex]
What is the approximate probability that Matthew chose to get home from work by bus, given that he arrived home after 7 p.m.?
[tex]P(B|A) = \frac{0.7*0.25}{0.193} = 0.9067[/tex]
Rouding up, 91%.
So the correct answer is:
B-91%
The following is the distribution of a random variable X.
X=0, 1, 2, 3
P(X)=0.1, 0.3, 0.4, 0.2
Find E(X)
Answer:
[tex] E(X)= 0*0.1 +1*0.3 +2*0.4 +3*0.2 [/tex]
And adding the values we got:
[tex] E(X) =0 +0.3 +0.8 +0.6 = 1.7[/tex]
So then the expected value for this random variable would be [tex] E(X) =1.7[/tex]
Step-by-step explanation:
For this case we have the following probability distribution given:
X 0 1 2 3
P(X) 0.1 0.3 0.4 0.2
And for this case the expected value with the following formula:
[tex] E(X) =\sum_{i=1}^n X_i P(X_i)[/tex]
And replacing we have:
[tex] E(X)= 0*0.1 +1*0.3 +2*0.4 +3*0.2 [/tex]
And adding the values we got:
[tex] E(X) =0 +0.3 +0.8 +0.6 = 1.7[/tex]
So then the expected value for this random variable would be [tex] E(X) =1.7[/tex]
Events A and B are independent. The probability of A occuring is 2/3. The probability of B occuring is 1/4 what is p(A and B)
Answer: A 1/10
Step-by-step explanation: edge 2021
Now this is Part B. The second part of the equation. If you answer this right you will win Brainliest. Don’t tell me what you think the answer is and if you can’t see zoom in, don’t answer the question saying you can’t seem.
Answer:
We can replace the 'm' with the value of 'm' on the table to get the value of 't'.
Using the equation [tex]t=0.5m+15[/tex] from the first part of the question to complete the table:
When 'm' equals 5:[tex]t=0.5(5)+15\\\rightarrow 0.5*5 = 2.5\\t=2.5 + 15\\t=17.5[/tex]
When 'm' is 10:[tex]t=0.5(10)+15\\\rightarrow 10 * 0.5 =5\\t = 5+15\\t=20[/tex]When 'm' is 15:[tex]t=0.5(15)+15\\\rightarrow 0.5 * 15 = 7.5\\t=7.5+15\\t=22.5[/tex]
When 'm' is 20:[tex]t=0.5(20)+15\\\rightarrow 0.5*20=10\\t=10+15\\t=25[/tex]Hope this helps.
What two things should be done before one performs a regression analysis?
Answer:
Plot the given data or information graphicallyObtain the line of best fit.Step-by-step explanation:
what is regression analysis ?Regression analysis is a statistical method that is used to examine the relationship between two or more variables.
There are many types of regression analysis which can be used to examine the influence of one or more independent variables on a dependent variable.
to carry out regression analysis the analyst must carry out the following
Plot the given data or information graphicallyObtain the line of best fit.Some of the various types of regression models are
Linear Regression. Polynomial Regression. Logistic Regression. Quantile Regression. Ridge Regression. Lasso Regression etc.The things that should be done before performing a regression analysis include:
Plot the given data or information graphicallyObtain the line of best fit.It should be noted that a regression analysis simply refers to a statistical method which examines the relationship between two or more variables.
To do a regression analysis, plot the given data or information graphically and then obtain the line of best fit.
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What’s the correct answer for this?
Answer:
A = 13.0
Step-by-step explanation:
In the attached file
What is the sum of this infinite geometric series? 1/4, 1/5, 4/25, 16/125
Answer:
5/4Step-by-step explanation:
Given infinite geometric series
1/4, 1/5, 4/25, 16/125, ...We see that
a = 1/4r = 4/5Sum of the series
S = a*1/(1 -r)S = 1/4*1/(1 - 4/5) = 1/4*1/(1/5) = 1/4*5 = 5/4Answer:5/4
Step-by-step explanation:
What’s the correct answer for this?
Answer:
B.
Step-by-step explanation:
In the attached file
Answer:
The explanation below should guide you to solve it's
Step-by-step explanation:
x2 + y2 - 14x -18y +105 =0
Now the standard form a the equation of a circle is
(X-Xo)2 + (y-yo)2 = r2
The above expressions becomes
x2- 14x + (-14/2)2 - (- 14/2)2 + y2 -18y + (-18/2)2 - (-18/2)2 + 105 =0
The above manipulation does not alter the equation and it's a way of forming squares of a quadratic equation.
(x - 7)2 + (y - 9)2 -49 - 81 + 105 = 0
(x - 7)2 + (y - 9)2 -130 + 105 = 0
(x - 7)2 + (y - 9)2 -25 = 0
(x - 7)2 + (y - 9)2= 25
From the analysis above you can determine the centres of the circle denoted by Xo and Yo as well as the radius which is the square root of the expression at the right
Suppose we want to choose 6 objects, without replacement, from 11 distinct objects.
(a) How many ways can this be done, if the order of the choices matters?
0
(b) How many ways can this be done, if the order of the choices does not matter?
Answer:
a) 332640 ways
b) 462 ways
Step-by-step explanation:
Order:
If the order of the choices matters, we use the permutations formula. If they do not matter, we use the combinations formula.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
6 objects, from a set of 11.
a) Order matters, so permutation.
[tex]P_{(11,6)} = \frac{11!}{(11-6)!} = 332640[/tex]
b) Order does not matter, so combinations.
[tex]C_{11,6} = \frac{11!}{6!(11-6)!} = 462[/tex]
Solve. 10x^2 - 6 = 9
Answer:
x = ±sqrt(3/2)
Step-by-step explanation:
10x^2 - 6 = 9
Add 6 to each side
10x^2 - 6+6 = 9+6
10x^2 =15
Divide each side by 10
10x^2/10 = 15/10
x^2 = 3/2
Take the square root of each side
sqrt(x^2) = ±sqrt(3/2)
x = ±sqrt(3/2)
PLZ SOMEONE ANSWER QUICK, A packing company is in the planning stages of creating a rectangular prism box that includes a three-dimensional diagonal support inside the box. The box has a width of 5 feet, a length of 6 feet, and a height of 8 feet. To the nearest tenth, how long is the diagonal support?
Answer:
I think it’s 240
Step-by-step explanation:
Hope this helps
Answer:
approx. 11.18 ft.
Step-by-step explanation:
formula: d=√L²+W²+H²
d=√5²+6²+8²
5²+6²+8²=125
√125 ≈ 11.18 ft
d(diagonal)= 11.18ft
What is the cost of 12 cupcake at meg’s cupcakes ?
Answer:
36
Step-by-step explanation:
15 divided by 5 would = 3
3 is the cost of 1 cupcake
3 x 12 is 36
Answer:
36
Step-by-step explanation:
The pattern is times 3 so 12 times 3 is 36
Which point shows the location of 5 – 2i on the complex plane below? On a coordinate plane, points A, B, C, and D are shown. Point A is 2 units to the left of the origin and 5 points up from the origin. Point B is 2 points to the right of the origin and 5 points down from the origin. Point C is 5 points to the right of the origin and 2 points down from the origin. Point D is 5 points to the left of the origin and 2 points down from the origin. point A point B point C point D
Answer:
The Point C shows the location of 5-2i in the complex plane: 5 points to the right of the origin and 2 points down from the origin.
Step-by-step explanation:
We have the complex number 5-2i and we have to show the location of the point that represents that number in the complex plane
In the complex plane the real numbers are located in the horizontal axis, increasing to the right. The positives real numbers are at the right of the origin and the negatives to the left.
The complex numbers are located in the vertical axis, with the positives over the origin and the negatives below the origin.
This complex number 5-2i is the sum of a real part (5) and a imaginary part (-2i), so the point will be 5 units rigth on the horizontal axis (for the real part) and 2 units down in the vertical axis (for the imaginary part).
Answer:
c. point c
Step-by-step explanation:
7 less then four times M expression
Answer:
If you were to write that in an expression it would be 4m-7
Step-by-step explanation:
I think this is what you're looking for...hope it helps :)
Please answer this correctly I want helping hand people to answer this
Answer:
10
Step-by-step explanation:
Take 4 times 2.5 since 25 / 10 = 2.5
4 x 2.5 = 10
Maricopa's Success scholarship fund receives a gift of $ 150000. The money is invested in stocks, bonds, and CDs. CDs pay 6 % interest, bonds pay 2.2 % interest, and stocks pay 11.7 % interest. Maricopa Success invests $ 15000 more in bonds than in CDs. If the annual income from the investments is $ 10805 , how much was invested in each account?
Maricopa Success invested _____ in stocks.
Maricopa Success invested _____ in bonds.
Maricopa Success invested _____ in CDs.
Answer:
$65,000 , $50,000 and $35,000
Step-by-step explanation:
Lets us assume the CDs be C, stocks be S and Bonds be B
Given that
Total scholarship fund received = $150,000
i.e
C + S + B = $150,000 ......................... (1)
Now the each items invested percentage is given
And, the annual income from investment is $10,805
So, the next equation is
0.06C + 0.022B + 0.117S = $10,805 ....................... (2)
And, it is mentioned that
The $15,000 more in bonds than in CDs
B = C + $15,000 ........................ (3)
Now put the equation 3 in equation C is
2C + S = $135,000 ........................... (4)
0.082C + 0.117S = $10,475 ........................... (5)
Now multiply the 0.117S in equation 4
So
0.234C + 0.117S = $15,795
0.082C + 0.117S = $10,475
After solving this
0.152C = $5,320
C = CDS = $35,000
So
B = $35,000 + $15,000
B= Bonds = $50,000
And S = Stock = $65,000
Answer:
CDs = 35000, Bonds = 50000, Stock = 65000
Step-by-step explanation:
Let amount invested in : CDs be 'C' , stock be 'S' , bonds be 'B'
As per total funds : C + B + S = 150000 [E1]
As per interest rates : 0.06C + 0.022B + 0.117S = 10805 [E2]
Given (15000 more invested in bonds than CDs : B = C + 15000 [E3]
Putting equations : [E3] in [E2] & [E1]
C + (C+15000) + S = 150000 → 2C + 15000 + S = 150000
2C + S = 135000 [E4]0.06C+0.022(C+15000)+0.117S = 10805 → 0.06C+0.022C+330+0.117S = 10805
0.082C + 0.117S + 330 = 10805 → 0.082C + 0.117S = 10475 [E5]By putting value of S from [E4] in [E5] :
0.082C + 0.117 (135000 - 2C) = 10475 → 0.082C + 15795 - 0.234C = 10475
5320 = 0.152C → C = 5320 / 0.152 = 35000 [CDs]
B = C + 15000 = 35000 + 15000 = 50000 [Bonds]
By [E1]: 35000+50000+S = 150000 → S = 150000 - 85000 = 65000 [Stocks]
6. At Shimla, temperature was -1 degree Centigrade on Saturday and rose 2 po
by 3 degree Centigrade on Sunday. What was the temperature on Sunday?
O a) 2 degree centigrade
b) -2 degree centigrade
Oc) 3 degree centigrade
O d) -4 degree centigrade
Answer:
Step-by-step explanation:
Make sure that all words are spelled correctly.
Try different keywords.
Try more general keywords.
Try fewer keywords.
Which expression represents the quotient of 5 and y, decreased by the product of 3 and z?
Answer:
5/y-3z
Step-by-step explanation:
Quotient is division
Product is multiplication
please mark brainliest
The equivalent value of the expression is A = 5/y - 3z
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
In an equation, the expressions on either side of the equals sign are called the left-hand side (LHS) and the right-hand side (RHS), respectively. The equals sign (=) indicates that the two expressions have the same value, and that the equation is true for certain values of the variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. It typically consists mathematical operations, such as addition, subtraction, multiplication, division, and exponentiation.
Given data ,
Let the expression be represented as A
Now , the value of A is
A = quotient of 5 and y, decreased by the product of 3 and z
Now , quotient of 5 and y = 5/y
And , product of 3 and z = 3z
So , On simplifying the expression , we get
A = 5/y - 3z
Hence , the equation is A = 5/y - 3z
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Graph the line with slope 1/2 passing through the poin
Answer:
See explanation below.
Step-by-step explanation:
To make use of the tools they give you, start at the point (-5, -2) which you know is a point the line goes through, then draw a line that goes towards the right following the rule given by the slope "1/2" (rise/run) which means that every 2 units to the right, you go one unit up. so from the point -5 in x, you go to the point -3 in x, and from -2 in y you move up one unit to -1
Therefore the line joins (-5, -2) to the point (-3, -1)
Given the function f(x)= x^2-7 and g(x) = 2x-x^3 what is the value of f(g(2))
Answer:
9
Step-by-step explanation:
First lets find g(2) because thats inside the f equation.
g(x) = 2x-x^3
g(2) = 2(2) - (2)^3
g(2) = 4 - 8
g(2) = - 4
So now we are finding
f(g(2)) => f(-4)
f(x) = x^2 - 7
f(-4) = (-4)^2 - 7
Remember, because the square is outside the parentheses due to us plugging in a value, it becomes positive
f(-4) = 16 - 7
f(-4) = 9
The figure shows a square plot of land in tiny town. The diagonal line represents a new road that was recently built. How long is the new road? Round the nearest tenth if necessary.
A. 9 miles
B. 18 miles
C. 10.7 miles
D. 12.7 miles
Answer:
A. 9 miles
Step-by-step explanation:
if you flip one of the sides to be to be diagonal then it is the same length as the road.
ASAP! GIVING BRAINLIEST! Please read question 10 THEN answer correctly! No guessing.
Answer:
x=35
Step-by-step explanation:
62+2x+(x+13)=180
62+2x+x+13=180
3x+75=180
3x=180-75
3x=105
x=35
Round the digit greater than 10, and estimate the answer.
8,572 x 7=
P
Answer:
60000
Step-by-step explanation:
8572x7= 60004...
Rounded to the nearest 10 (Which I assume you wanted to happen) is: 60000
[If I am wrong I am very sorry, please message me]
For what interval is the value of (f – g)(x) negative?
Answer:The correct answer for the given mathematics question above would be f < g. The interval wherein the value of (f-g)(x) is negative is f < g. A function is negative on intervals when the graph line lies below the x-axis. On the other hand, a function is positive on intervals when the graph line lies above the x-axis.
Step-by-step explanation: