Answer:
66 inches ;
95.44 ;
4
Step-by-step explanation:
Given that:
Normal distribution with;
Mean(m) = 66 inches
Standard deviation (s) = 3 inches
A.) If a horse is chosen at random, Expected height will be equal to the mean of the distribution = 66 inches
B.) percentage horses who are between 60 and 72 inches
Zscore = ( x - m) / s
x = 60
Zscore = (60 - 66) / 3
Zscore = - 6/3
= - 2
P(Z < - 2) = 0.0228
Zscore = ( x - m) / s
x = 72
Zscore = (72 - 66) / 3
Zscore = 6/3
= 2
P(Z < 2). = 0.9772
Between 60 and 72
0.9772 - 0.0228 = 95.44
c) In a particular year there are 25 horses running in the Melbourne Derby. How many of these would you expect to have a height of less than 63 inches?
Zscore = ( x - m) / s
x = 63
Zscore = (63 - 66) / 3
Zscore = - 3/3
= - 1
P(Z < - 1) = 0.1587
0.1587 * 25 = 3. 967 = 4
Tanmayi wants to raise $190 for a school fundraiser. She has raised $140 so far. How much more does she need to reach her goal? Let m be how much more is needed.
Answer:
190 plus x = 140 -140 -140 x=50In an effort to make children’s toys safer and more tamperproof, toy packaging has become cumbersome for parents to remove in many cases. Accordingly, the director of marketing at Toys4Tots, a large toy manufacturer, wants to evaluate the effectiveness of a new packaging design that engineers claim will reduce customer complaints by more than 10 percentage points. Customer satisfaction surveys were sent to 220 parents who registered toys packaged under the old design and 220 parents who registered toys packaged under the new design. Of these, 86 parents expressed dissatisfaction with packaging of the old design, and 41 parents expressed dissatisfaction with packaging of the new design.
Let p1 represent the population proportion of parents that expressed dissatisfaction with the packaging of the old design and p2 represent the population proportion of parents that expressed dissatisfaction with the packaging of the new design.
A. Specify the null and alternative hypotheses to test for whether the proportion of customer complaints has decreased by more than 5% under the new packaging design.
1. H0 : p1 - p2 < 0.10; HA : p1 - p2 > 0.10
2. H0 : p1 - p2 = 0.10; HA : p1 - p2 is not equal to 0.10
3. H0 : p1 - p2 > 0.10; HA : p1 - p2 < 0.10
B. What is the value of the test statistic and the associated p-value?
C. At the 1% significance level, do the results support the engineers' claim?
D. At the 10% significance level, do the results support the engineers' claim?
Answer:
Explained below.
Step-by-step explanation:
(a)
In this case we need to determine if the proportion of customer complaints has decreased by more than 10% under the new packaging design.
The hypothesis can be defined as follows:
H₀: The proportion of customer complaints has not decreased by more than 10% under the new packaging design, i.e. p₁ - p₂ ≤ 0.10.
Hₐ: The proportion of customer complaints has decreased by more than 10% under the new packaging design, i.e. p₁ - p₂ > 0.10.
(b)
The information provided is:
n₁ = 220
n₂ = 220
X₁ = 86
X₂ = 41
Compute the sample proportions and total proportions as follows:
[tex]\hat p_{1}=\frac{X_{1}}{n_{1}}=\frac{86}{220}=0.3909\\\\\hat p_{2}=\frac{X_{2}}{n_{2}}=\frac{41}{220}=0.1864\\\\\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{86+41}{220+220}=0.2886[/tex]
Compute the test statistic value as follows:
[tex]z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)[\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]
[tex]=\frac{0.3909-0.1864}{\sqrt{0.2886(1-0.2886)\times[\frac{1}{220}+\frac{1}{220}]}}\\\\=\frac{0.2045}{\sqrt{0.0018665}}\\\\=4.733524\\\\\approx 4.73[/tex]
The test statistic value is 4.73.
Compute the p-value as follows:
[tex]p-value=P(Z>4.73)[/tex]
[tex]=1-P(Z<4.73)\\=1-(\approx 1)\\=0[/tex]
The p-value of the test is 0.
(c)
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
p-value = 0 < α = 0.01.
The null hypothesis will be rejected at 1%significance level.
Thus, there is enough evidence at 1% significance level to support the engineers' claim.
(d)
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
p-value = 0 < α = 0.10.
The null hypothesis will be rejected at 10%significance level.
Thus, there is enough evidence at 10% significance level to support the engineers' claim.
what is 2+2x2
ill give brainliest to the person that gets it correct
Answer:6
Step-by-step explanation:
Answer:
6.............................
Step-by-step explanation:
I need help! Find the equation of a line parallel to 3x-3y=5 that contains the point (-1,-5). Write the equation in slope Intercept form.
the equation of the line is y= x-4
Step-by-step explanation:
so so the first thing that you're going to do is get y alone
-x-5=y
next you're going to find your slope which in this case is negative one.
after that in order to find the equation of a parallel line you're going to find the reciprocal of the slope.
so in this case the reciprocal is one.
next you're going to substitute in the cordinates to find the y intercept
x+b=y. (-1)+b= -5. (. b is the y intercept)
b= -4
The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Answer:
Percent 40% Fraction 4/10 or 40/100 Decimal .40
Step-by-step explanation:
PLEASE HELP!!! ILL GIVE BRAINLIEST
Answer:
118 degrees
Step-by-step explanation:
Answer:
118°
Step-by-step explanation:
62 and angle B are supplementary angles, so they add up to 180. 180-62 is 118, so angle B is 118.
hello I need help on it please
Answer: Adams heart Beats 1,440 more times than Blake’s in 120 minutes.
Step-by-step explanation:
Adam: 74 x 120 = 8,880
Blake: 62 x 120 = 7,440
8,880 - 7,440 = 1,440
Answer:
1440
Step-by-step explanation: you multiply
74 x 120 and 62 x 120
8,880 7,440 then subtract the two
8,880 - 7,740 = 1,440
Evaluate the following expression.
50÷ 5^2×2
A VISA CARD HAS A 3% CASH BACK BONUS FOR GAS AND A 1% CASH BACK FOR EVERYTHING ELSE. THIS MONTH YOU SPENT $1,500. 1/3 WAS FOR GAS.wHAT WAS YOURCASH BACK BONUS?
Answer:
25 Dollars Cashback Bonus
Step-by-step explanation:
Lets determine both Gas CashBack (x) and Non-Gas CashBack (y) first:
x = 500 (1500 times 1/3 is 500) times .03 = 15
y = 1000 (1500 minus 500) times .01 = 10
x (15) + y (10) = 25
What is 200 as a percent?
Answer:
Step-by-step explanation:
So, we know that 200 can also be written as 200.00 which does not change the value of the number. Now, we can turn it into a percentage by moving the decimal point to digits back: 200.00 --> 20000. So, this means that 200 is 20000%.
Which of the statements below summarize why a buyer would desire a purchase allowance? (Check all that apply.)
In order to keep defective, but still marketable merchandise, the buyer would need a reduction in the purchase price.
Purchased merchandise was defective or unacceptable.
The buyer purchased a large amount of merchandise and was eligible for a reduced purchase price.
The seller could not pay within the discount period.
Answer:
First two options correct
Step-by-step explanation:
I got it from answer key
Bill lent some money to his two brothers. He wrote down the amounts so he would not forget. The list shows the younger brother with −$17.25 and the older brother with $0. Which of the following statements best describes the amounts?
The older brother paid Bill $17.25, and the younger brother does not owe him any money.
The older brother owes Bill $17.25, and the younger brother does not owe him any money.
The younger brother owes Bill $17.25, and the older brother does not owe him any money.
The younger brother paid Bill $17.25, and the older brother does not owe him any money.
Answer:
the younger brother owes bill $17.25, and the older brother dose not owe him anything
Answer:
i got it right on the trst
Step-by-step explanation:
A is an angle in standard position and satisfies the given conditions. Find the indicated trigonometric function value of A.
The terminal side of A is in quadrant II and lies on the line -7x - 5y = 0.
Find sec A.
9514 1404 393
Answer:
sec(A) = -(1/5)√74
Step-by-step explanation:
Solving the equation for y, we have ...
-7x = 5y
-7/5x = y
The slope of this line (-7/5) is the tangent of the angle (A) it makes with the x-axis. The secant satisfies the relation ...
sec(A)^2 = 1 + tan(A)^2
sec(A) = √(1 +tan(A)^2)
sec(A) = -√(1 +(-7/5)^2) = -√(74/25) . . . . secant is negative in 2nd quadrant
sec(A) = -(1/5)√74
Which of the following functions has a graph that passes through the origin? Select all that apply.
A. power; y equals x superscript n baseline
B. root; y equals Root Index n Start Root x End Root
C. reciprocal; y equals Start Fraction 1 over x End Fraction
D. exponential; y equals b superscript x baseline
Answer: a and b
power and root
Joseph read 9 books in 15 months. What was his rate of reading in books per month?
Answer: 0.6 books
Step-by-step explanation: Divide 9 by 15 to get 0.6 books a month.
( I think) I’ve done this before , this certain question.
how can you work with anybody annoying you white your working at home on a test?
-2x^2-20x-46
How would you solve this?
Answer:
-2x^2-20x-46
Step-by-step explanation:
-2(x^2)-20x-46
-2(x^2) -2(10x)-46
-2(x^2)-2(10x)-2(23)
-2(x^2+10x)-2(23)
-2x^2-20x-46
which set of numbers are equivalent
0.32 , 32% , 1/32
0.45 , 50% ,49/50
0.30, 30% , 30/300
0.15 , 15% , 30/200
i will give you 40 pionts
make -4 a fraction
Answer:
4/1
Step-by-step explanation:
like 1 is like 1 whole
Answer:
-16/4
Step-by-step explanation:
In this way it will be in fraction
-16/4
which means, -16÷4= -4
During the 2005 football season Team Tackle beat Team Sack by 18 points their combined scores totaled 66. the individual team score
1. Team tackles score was ? Points
2. Team sacks score was ? Points
Which expression is equivalent to 2(4f+2g)
Answer:
8f+4g
Step-by-step explanation:
distribute the 2 to 4f and 2g. Thats all you can do to the expression tho
How are the different representations of a function used to determine
the relationship between the quantities?
Answer:
Step-by-step explanation:
A function can be represented verbally. For example, the circumference of a square is four times one of its sides.
A function can be represented algebraically. For example, 3x+6 3 x + 6 .
A function can be represented numerically.
A function can be represented graphically.
There are three ways in which representations of a function are used to determine are, algebraic, numerical, and graphical .
Given that,
To explain the way the representation of a function for the relationship between quantities.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
There are three ways in which the representations of a function are used to determine the relationship between the quantities,
(a) algebraic, (b) numerical, and (c) graphical.
Thus, there are three ways, algebraic, numerical, and graphical.
learn more about function here:
brainly.com/question/21145944
#SPJ2
Ordena, de menor a mayor, las siguientes
medidas de masa.
11.6 mg, 1021 ug, 0.6 cg, 0.31 mg
Quien me puede ayudar
6TH GRADE MATH!!
Sheila can ride are bicycle 6,000 meters in 15 minutes. Cal can ride his bicycle 3,400 meters in 8 minutes.Select true or false for the following statement. cal can ride his bicycle 750 meters in 1 minutes.
Answer:
false
Step-by-step explanation:
to get this answer you need to divide 3,400 by 8. Which is 425. So no, he can not go 750 meters, he can only go 425 meters in one minute. hope this helps!!
In the picture lines AB and CD are parallel. Find the measures of
the following angles. Explain your reasoning.
F
E
D
В.
38 A.
1. BCD
2. ZECF
3. ZDCF
Answer/Step-by-step explanation:
1. <ABC and <BCD are alternate interior angles. Alternate interior angles are equal, therefore, since m<ABC = 38°, then m<BCD = 38°
2. m<ECF = m<BCD (corresponding angles)
m<ECF = 38° (substitution)
3. m<DCF + m<ECF = 180° (linear pair)
m<DCF + 38° = 180° (substitution)
m<DCF = 180° - 38° (Subtraction property of equality)
m<DCF = 142°
Write and expression equivalent to - 1/2(6x-8+4x please help
Step-by-step explanation:
I won't say the answer, but will give an explanation. the explanation for solving the expression is above.
the fully simplified expression is 5x - 4. All you need to do now is make an expression that will equal 5x - 4 simplified.
An example is: 20(1/4x-1/5)
if I read the questions wrong and it's just asking to simplify the expression then the answer is 5x - 4.
NUMBER 3 PLEASEEEEEEEE
Answer:
(-1,3), (1,0)
Step-by-step explanation:
Robert and Dora need to write 4,300,000,000 using scientific notation. Robert claims that 4,300,000,000 = 4.3 x 108 and Dora claims that 4,300,000,000 = 4.3 x 109. Which of the following best describes whose number is correct and the reason it is correct?
Answer:
Robert is correct
Step-by-step explanation:
we know in scientific notation a positive number goes to the right and if we do 4.3 and we go back the spaces it would be nine spaces so it would be 4.3 X 109
3 new tires for $210; 4 new tires for $250
[n +1] – 10 >-9
Solve.