Answer: The required probability = 0.8926
Step-by-step explanation:
Given: [tex]\mu=975\text{ lbs}[/tex], [tex]\sigma= 52\text{ lbs}[/tex]
Let x = weight of horse stable.
Sample size : n= 31
Then, the probability that the mean weight of the sample of horses would differ from the population mean by less than 15 will be:
[tex]P(-15<P(\overline{x}-\mu)<15)=P(\dfrac{-15}{\dfrac{52}{\sqrt{31}}}<\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{15}{\dfrac{52}{\sqrt{31}}})\\\\=P(-1.61<z<1.61)\ \ \ [z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=2(z<1.61)-1\ \ \ [P(-z<Z<z)=2(Z<z)-1]\\\\=2( 0.9463)-1\\\\=0.8926[/tex]
Hence, the required probability = 0.8926
What is the Esquire root of 3?
Answer:
1.732
Step-by-step explanation:
.......................
Peter bought an 18-ounce box of cereal for $4.50. What was the cost per ounce?
ITS URGENT
(5−x)(2x+7)(x−3)≤0
Answer:
− 7 2 ≤ x ≤ 3 or x ≥ 5
Step-by-step explanation:
Basically isolate X,
(Sorry, I don't have time to explain deeply)
Hope I helped!! :)
Answer:
x is part of [-7/2,3]U[5,+infinite [
Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.4. A sample of 39 U.S. adults is chosen. Use the TI-84 Plus Calculator as needed. Round the answer to at least four decimal places. Part: 0 / 60 of 6 Parts Complete Part 1 of 6 Is it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure? It ▼(Choose one) appropriate to use the normal curve, since =np ▼(Choose one)10 and =n−1p ▼(Choose one) 10.
Answer:
Yes it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure
Step-by-step explanation:
From the question we are told that
The population proportion is p=0.4
The sample size is n = 39
The sample proportion is [tex]\^ p = 0.43[/tex]
Generally for normal approximation to be used
[tex]np > 10[/tex]
so np = 39 * 0.4 = 15.6 > 10
and [tex]n(1- p) > 10[/tex]
so n(1-p ) = 39(1-0.4) = 23.4 >10
Given that the both condition is meet it mean that it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure
Write the equation of the line that passes through the points (1,-5)(1,−5) and (-9,2)(−9,2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
y+5 = -0.7 (x-1)
Step-by-step explanation:
m = (change in y) / (change in x) = (2-(-5)) / (-9-1) = 7 / (-10) = -0.7
Angelina puts 3,000 milliliters of water in a tub that already has 5 liters of water in it. Jack says the tub now has 35 liters of water in it. Angelina explain he is wrong. Explain who is correct and why
Answer:
-Angelina is correct
Explaintion: Jack in incorrect because it seems that he messed up is place order. He might have thought that 1 liter is equal to 100 mililiters instead of 1,000. That way he might have gotten 30+5=35 instead of 5+3=8
Step-by-step explanation:
3000 ML+ 5L
1 milliliter has 0.001 liters in it.
3000ML= 3L
Angelina has 8 lieters of water in the tub now.
which function has the same domain as y=2_/x?
Answer:
A. y = square root of 2x
We are given the function
y = 2 √x
We are asked for the function that has the same domain as the given function
First, the domain for the given function is this
{ x | x ≥ 0 }
So, any function that has a domain of x that is equal to or greater than 0. Some examples:
f(x) = √x - 2
f(x) = 5 √x
What is the value of 92?
Brainliest!!
If I have 2000 cakes and I give 1000 away and eat 500 and then make 250 more and then cut all that I have left in half how many cakes do I have?
Answer:
You would have 750 whole cakes
OR 1500 half cakes
Step-by-step explanation:
Have a great day! :)
Answer: You would end up with 375 cakes left :)
$46.20 for 12 pizzas, how much per pizza
Answer:
3.85
Step-by-step explanation:i did the math .... :)
Which is equal to 0.63?
Answer:
63%
Step-by-step explanation:
A percentage is x/100. So 0.63 = x/100. So multiply by 100, and you'll get 63%.
PLEASE ANSWER QUICKLY I WILL MARK BARINLIEST AND WILL GIVE
30 POINTS
Find the 'x' coordinate of the vertex of the equation
-4x2 + 7x - 3= 0.
Answer: 7/8
Step-by-step explanation:
20% of the people in a California town consider themselves vegetarians. If 20 people are randomly sampled, find the probability that:
it should be 4 because 20% is considered vegitarian so 20 * 20% = 4
so it should be 4
In the past few years, outsourcing overseas has become more frequently used than ever before by U.S. companies. However, outsourcing is not without problems. A recent survey by Purchasing indicates that 20% of the companies that outsource overseas use a consultant. Suppose 15 companies that outsource overseas are randomly selected. a. What is the probability that exactly 5 companies that outsource overseas use a consultant
Answer:
0.1Step-by-step explanation:please see attached the annotated solution
Given data
p=20%= 0.2
n=15 companies
let x = 5 the number of companies that outsource to overseas consultants
The binomial probability distribution is given as
P(x=λ)=nCx*P^x*q^n-x
we also know that q=1-p
1/2x - 3 =7
helppp please.
Answer:
x = 20
Step-by-step explanation:
Original Equation:
1/2x - 3 = 7
(1/2x can be written as 0.5x)
0.5x - 3 = 7
Add 3 to both sides.
0.5x = 10
Divide both sides by 0.5
x = 20
Hope this helped :)
Please consider Brainliest :)
All my digits are the same. The sum of my digits is greater than twelve. The sum of my digits is less than sixteen. Who am I?
Answer:
7and 7
Step-by-step explanation:
sum 7+7=14is greater than 12and less16
what is 8 plus 8 over 1 with the power of 4
65,536 welcome :))))))
67
Name
_Michael Goodger Lesson 4 Homework
1.Convert and write an equation with an exponent.
A. 2 meters to centimeters
2m = 200 cm
2 x 10 = 200
B. 108 centimeters to meters 108 cm = 1 m
1.08% 101=108
C. 2.49 meters to centimeters 2.49 m = 249
cm
2.49x 103= 249
D. 50 centimeters to meters 50 cm = 1 m
50x1=50
E 6.3 meters to centimeters 6.3 m = 63 cm
6.3x63=63
F 7 centimeters to meters Icm = _
m
In the space below, list the letters of the problems where smaller units are converted to larger units.
2. Convert using an equation with an exponent. Use your meter strip when it helps you.
a. 4 meters to millimeters
mm
b. 1.7 meters to millimeters
mm
1050 millimetorn
m =
m =
Answer:
Step-by-step explanation:
1)
A. 2 meters to centimeters
1 m = 100 cm
[tex]2 m = 2 \times 100 \\2 m = 200 cm = 2 \times 10^2[/tex]
B)108 centimeters to meters
100 cm =1 m
[tex]1 cm = \frac{1}{100} m \\108 cm = \frac{108}{100}=108 \times 10^{-2} m[/tex]
C)2.49 meters to centimeters
1 m = 100 cm
[tex]2.49 m = 2.49 \times 100 = \frac{249}{100} \times 100 = 249 cm[/tex]
D)50 centimeters to meters
100 cm = 1m
[tex]1 cm = \frac{1}{100} m \\50 cm = \frac{50}{100}= 5 \times 10^{-1} m[/tex]
E)6.3 meters to centimeters
1 m = 100 cm
[tex]6.3 m = 6.3 \times 100=\frac{63}{10} \times 100 = 630 cm[/tex]
F)7 centimeters to meters
100 cm = 1 m
[tex]1 cm = \frac{1}{100} m\\\\7 cm = \frac{7}{100} = 7 \times 10^{-2} m[/tex]
2)
a)4 meters to millimeters
1 m = 1000 mm
[tex]4 m = 4000 = 4 \times 10^3 mm[/tex]
b)1.7 meters to millimeters
1 m = 1000 mm
[tex]1.7 m = 1.7 \times 1000= \frac{17}{10} \times 1000=17 \times 10^2 mm[/tex]
Are the statements true or false?
Select True or False for each statement.
Statement True False
1/ 4 · 3/ 4 = 3 /4 · 1/ 4
3/4÷2/5=2/5÷3/4
Answer:
It Is true and then false
Step-by-step explanation:
The graph models the height of a burning candle over a 10-hour period.
What is the rate of change of the candles height?
Answer:
D. -1.5 cm/hour
Step-by-step explanation:
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Using the coordinates of the two points on the line, (0, 18) and (4, 12),
Let,
[tex] (0, 18) = (x_1, y_1) [/tex]
[tex] (4, 12) = (x_2, y_2) [/tex]
Plug the values into the formula for rate of change.
Rate of change = [tex] \frac{12 - 18}{4 - 0} [/tex]
[tex] = \frac{-6}{4} [/tex]
Simplify
[tex] = \frac{-3}{2} = -1.5 [/tex]
Rate of change = -1.5 cm/hour
A recipe requires 540 grams of flour for 5 cupcakes.How much flour do you need for 8 cupcakes?
Answer:
864 grams
Step-by-step explanation:
540 divided by 5=108 grams per cupcake
108 times 8=864 grams
An isosceles triangle is transformed such that the vertex P' corresponds to the vertex P.
Which statement describes the transformation of the triangle?
The triangle was reflected over the y-axis.
The triangle was translated to the right 8 units.
The triangle was dilated.
The triangle was rotated 180 counterclockwise.
Answer:
correct
Step-by-step explanation:
Answer:
It is D, I just took the test.
Find the measures of the missing values.
Question Help When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan: Randomly select and test 36 batteries and determine whether each is within specifications. The entire shipment is accepted if at most 2 batteries do not meet specifications. A shipment contains 3000 batteries, and 3% of them do not meet specifications. What is the probability that this whole shipment will be accepted? Will almost all such shipments be accepted, or will many be rejected?
Answer:
The probability is [tex]P(X \le 2 ) = 0.9072[/tex]
The company will accept 90.72% of the shipment and will reject [tex](100 -90.72) = 9.2\%[/tex] of the shipment , so many of the shipment are rejected
Step-by-step explanation:
From the question we are told that
The sample size is n = 36
The proportion that did not meet the requirement is [tex]p = 0.03[/tex]
Generally the probability that the whole shipment is accepted is equivalent to the probability that there is at most 2 batteries that do not meet the requirement , this is mathematically represented as
[tex]P(X \le 2 ) = [ P(X = 0 ) + P(X = 1 ) + P(X = 0)][/tex]
=> [tex]P(X \le 2 ) = [ [^{n}C_0 * (p)^{0} *(1-p)^{n-0} ] + [^{n}C_1 * (p)^{1} *(1-p)^{n-1} ] + [^{n}C_2 * (p)^{2} *(1-p)^{n-2} ]][/tex]
Here C stands for Combination (so we will be making the combination function in our calculators )
So
=> [tex]P(X \le 2 ) = [ [^{36}C_0 * (0.03)^{0} *(1-0.03)^{36-0} ] + [^{36}C_1 * (0.03)^{1} *(1-0.03)^{36-1} ] + [^{36}C_2 * (0.03)^{2} *(1-0.03)^{36-2} ]][/tex]
=> [tex]P(X \le 2 ) = [ [1 * 1 * 0.3340 ] + [36* 0.03 *0.3444 ] + [630 * 0.0009 *(0.355 ]][/tex]
=>[tex]P(X \le 2 ) = 0.9072[/tex]
The company will accept 90.72% of the shipment and will reject [tex](100 -90.72) = 9.2\%[/tex] of the shipment , so many of the shipment are rejected
When holding your arms horizontal, your body is the line of reflection. true or false?
Answer:
true
Step-by-step explanation:
Your arms would be the line and your body would be the y-axis, and your arms are on either side of the y-axis which means your body is the line of reflection
Hope this helps.
Jennifer bought some tulips, lilies, and roses to make bouquets. She bought the same number of tulips as lilies. She bought three more roses than tulips and lilies combined. She paid 18 cents for each tulip. The lilies were 27 cents per flower, and the roses cost 55 cents each. How many of each kind of flower did Jennifer buy if she paid $17.15 in all?
Answer: 10 tulips, 10 lilies and 23 roses.
Step-by-step explanation:
Let's define the variables:
T = number of tulips that Jennifer bought
L = number of lilies that Jennifer bought
R = number of roses that Jennifer bought
Each tulip costs $0.18
Each lily costs $0.27
Each rose costs $0.55
We know that:
"She bought the same number of tulips as lilies."
T = L
" She bought three more roses than tulips and lilies combined."
R = T + L + 3
"she paid $17.15 in all"
T*$0.18 + L*$0.27 + R*$0.55 = $17.15
Then we have a system of 3 equations:
T = L
R = T + L + 3
T*$0.18 + L*$0.27 + R*$0.55 = $17.15
The first step to solve this is to replace the first equation into the other two, and get:
R = 2*L + 3
L*$0.18 + L*$0.27 + R*$0.55 = $17.15
Now we can replace the first equation into the second:
L*$0.18 + L*$0.27 + (2*L + 3)*$0.55 = $17.15
Now we can solve this for L.
L*($0.18 + $0.27 + 2*$0.55) + 3*$0.55 = $17.15
L*$1.55 + $1.66 = $17.15
L*$1.55 = $17.15 - $1.66 = $15.50
L = $15.50/$1.55 = 10
Then Jennifer bought 10 lilies.
And by the other two equations:
T = L = 10
She bought 10 tulips.
R = L + T + 3 = 10 + 10 + 3 = 23
She bought 23 roses
How many days are in 5 years? Correct answer gets brainliest. 2 possible answers
Answer:
1826.21099
Step-by-step explanation:
Answer: 1825 days.
Step-by-step explanation: 365x5=1825
James pald $150 for 5 calculators. What is the unit rate?
Answer:
Unit rate = $ 30.
Step-by-step explanation:
Unit rate = Total cost ÷ Number of calculators
= [tex]\frac{150}{5}[/tex]
= $ 30
Answer:
$30 per calculator
Step-by-step explanation:
To find the unit rate of the calculators, take the total price of calculators and divide it by 5 to get 30.
This method works when finding any unit rate even when it doesn't involve prices.
*Tip* When dividing, write it as a fraction in case the quotient is not a whole number.
Which angles are verticle angles?
