Answer:
9d2nxdc
Step-by-step explanation:
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ree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean μ = 119 inches and standard deviation σ = 17 inches. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least four decimal places. (a) What proportion of trees are more than 130 inches tall? (b) What proportion of trees are less than 90 inches tall? (c) What is the probability that a randomly chosen tree is between 95 and 105 inches tall? Part: 0 / 30 of 3 Parts Complete Part 1 of 3 What proportion of trees are more than 130 inches tall? The proportion of trees that are more than 130 inches tall is .
Answer:
a) 0.2588
b) 0.044015
c) 0.12609
Step-by-step explanation:
Using the TI-84 PLUS calculator
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question, we know that:
μ = 119 inches
standard deviation σ = 17 inches
(a) What proportion of trees are more than 130 inches tall?
x = 130 inches
z = (130-119)/17
= 0.64706
Probabilty value from Z-Table:
P(x<130) = 0.7412
P(x>130) = 1 - P(x<130) = 0.2588
(b) What proportion of trees are less than 90 inches tall?
x = 90 inches
z = (90-119)/17
=-1.70588
Probability value from Z-Table:
P(x<90) = 0.044015
(c) What is the probability that a randomly chosen tree is between 95 and 105 inches tall?
For x = 95
z = (95-119)/17
= -1.41176
Probability value from Z-Table:
P(x = 95) = 0.07901
For x = 105
z = (105 -119)/17
=-0.82353
Probability value from Z-Table:
P(x<105) = 0.2051
The probability that a randomly chosen tree is between 95 and 105 inches tall
P(x = 105) - P(x = 95)
0.2051 - 0.07901
= 0.12609
Write the ratio:
10
to
68
as a fraction in lowest terms.
Answer:
5/34
Step-by-step explanation:
change 10:68 into 10/68, then divide by 2/2 to get 5/34.
A grocery store sells an 18 ounce container of peanut butter for $3.28. What is the cost per ounce (unit price)?
Answer:
18 cents
Step-by-step explanation:
3.28/18 = .18
Midpoint of the segment whose endpoints are (6,9) and (-4,16)
Answer:
(4,5)
Step-by-step explanation:
(xa+xb/2,ya+yb/2)
(0+8/2,2+8/2)
(8/2,10/2)
(4,5)
hope this helps
Erica had $1,200 dollar in her bank account and deposited another $300 into the account. By what percent did the amount of the money in her bank account increase?
Answer: 25%
Step-by-step explanation:
Bonnie is baking cookies and making icing. She notices that 2 ounces of food coloring creates 9 cups of red icing. If 14 cups of red icing are needed to finish decorating cookies, how many ounces of food coloring are needed? Round to the nearest tenth of an ounce.
Answer:
3.1
Step-by-step explanation:
Write a proportion.
2 / 9 = x / 14
Cross multiply.
9x = 28
Divide.
x ≈ 3.1
What is the slope of a line that contains the points (-6 , 1) and (4 , -4)?
Answer:
-1/2
Step-by-step explanation:
For this question we use the slope formula: [tex]m = (y_{1} - y_{2})/(x_{1}-x_{2})[/tex]
chug and plug: m = (1 - (-4))/(-6-4)
m = -0.5 or [tex]-\frac{1}{2}[/tex]
The slope of a straight line passing through the points (-6 , 1) and (4 , -4) is -1/2.
What is Slope of a straight line?The slope of a straight line measures the rate of change of variable 'y' with respect to independent variable 'x'. Mathematically -
m = (y₂ - y₁)/(x₂ - x₁)
Given is a line that passes through the points (-6 , 1) and (4 , -4).
The slope of a straight line passing through two points is given by -
m = (y₂ - y₁)/(x₂ - x₁)
The coordinates given are (-6 , 1) and (4 , -4).
Substituting them in the formula, we get -
m = (- 4 - 1)/(4 + 6)
m = (- 5)/(10)
m = -1/2
m = -1/2
Therefore, the slope of a straight line passing through the Points (-6 , 1) and (4 , -4) is -1/2.
To solve more questions on Straight lines, visit the link below-
brainly.com/question/28490034
#SPJ2
Sunshine City was designed to attract retired people. Its current population of 75,000 residents has a mean age of 63 years and a standard deviation of 17 years. The distribution of ages is skewed to the left. A random sample of 250 residents of the city had a mean of 61.4 and a standard deviation of 19. Show work for any necessary calculations. (6 pts) a) Identify the variable of interest. b) Describe the center and spread of the population of Sunshine City. c) Describe the center and spread of the random sample of Sunshine City residents taken. What shape does it probably have
Answer:
a) Identify the variable of interest.
Ages of the residents
b) Describe the center and spread of the population of Sunshine City.
Center of the population of Sunshine city = 63 years
Spread of the Population of Sunshine city = 17 years
c) Describe the center and spread of the random sample of Sunshine City
residents taken.
Center of the random sample of Sunshine city = 61.4 years
Spread of the random sample of Sunshine city = 19 years
What shape does it probably have:
It has a skewed(left) shape
Step-by-step explanation:
a) Identify the variable of interest.
Ages of the residents
The center of a distribution tells us about the Mean or Median of the distribution
The spread of a distribution tells us about the standard deviation of the population
b) Describe the center and spread of the population of Sunshine City.
Center of the population of Sunshine city = Mean of the population of Sunshine city = 63 years
Spread of the Population of Sunshine city = Standard Deviation of the population = 17 years
c) Describe the center and spread of the random sample of Sunshine City
residents taken.
Center of the random sample of Sunshine city = 61.4 years
Spread of the random sample of Sunshine city = 19 years
What shape does it probably have:
It has a skewed(left) shape
This is because the mean is farther out to the left side of the tail of the distribution.
which of the following is equal to 1.66 in lowestterm? a.166/1000 b.166/100 c.58/50 d.29/25
================================================
Work Shown:
1.66 = 1.66/1.00
1.66 = 166/100
1.66 = 83/50
In the second step, I moved the decimal point over to the right two spaces for each value. So 1.66 turns into 166 and 1.00 turns into 100. This is the same as multiplying top and bottom by 100.
In the third step, I divided both parts by the GCF 2. So 166/2 = 83 and 100/5 = 50.
You should have 83/50 in your answer choices, but it's not listed. So the next best thing is 166/100.
can someone help me? pls find the length of AB
use a divider to find the length of the middle line then use
If f(x) = 4x +4, g(x) = – 2x2 - 4x + 5, and h(x)= - 8x2 + 7, find g(1).
Answer:
-1
Step-by-step explanation:
g(1) = -2*1^2 - 4*1 + 5
Five notebooks cost $20 at this rate how much would 4 notebooks coat?
Answer:
$16
Step-by-step explanation:
if 5=20 then 20÷5=4 and 4x4=16
Answer:
16
Step-by-step explanation:
$20/5notebooks=$4 each
4$*4notebooks=16$
simplify 4/7 diveded by 3/-8
Answer:
- 32/21 or - 1 11/21
Step-by-step explanation:
Find the value of 3 ^ 3
Answer:
27
Step-by-step explanation:
3*3=9*3=27
Answer: 27
Step-by-step explanation: What 3 ^ 3 mean is when you multiply 3x3x3. Hope this was helpful.
Which of the binomials below is a factor of this trinomial?
x² + 14x + 40
O AX-9
O B. 32 + 10
O C. X* 14
D. X+4.
Answer:
D. x + 4Step-by-step explanation:
Let's factor the trinomial:
x² + 14x + 40 = x² + 4x + 10x + 40 = x(x + 4) + 10(x + 4) = (x + 4)(x + 10)x + 4 is between the answer options
Correct option is D.
.
Jamie went shopping for party snacks. He bought 3 bags of chips for $4.00 each, 5 bottles of soda for $2.00 each and an ice cream cake for $20.00. How much did he spend altogether?
Choose the expression that is a correct translation of the problem.
(3 x 4) x (5 x 2) + 20
(3 + 4) + (5 + 2) + 20
(3 x 4) + (5 x 2) + 20
(3 x 4) + (5 x 2) x 20
Answer:
C (3x4) + (5x2) + 20
Step-by-step explanation:
3 things that cost 4 dollars. 5 things that cost 2 dollars and one that cost 20.
How many cyclists are at least 26 years old?
Answer:
15
Step-by-step explanation:
The average number of points a basketball team scored for
three games was 63 points. In two games, they scored the same number of points,
which was 6 points more than they scored in the third game. Write and solve an
equation to find the number of points they scored in each game.
what is 2208 divided by 96?
23............hope this helps
Perry took a total of 12 quizzes over the course of 6 weeks. After attending 10 weeks of
school this quarter, how many quizzes will Perry have taken in total? Solve using unit rates.
Answer:
so perry takes about 2 quizzes a week ok well all we have to do is multiply 2×10=...20 so perry takes about 20 quizzes in ten weeks
Is the question inconsistent or conditional?
Answer:
it is inconsistent
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Hold up i know the answer.
Step-by-step explanation:
(2/5) (-5/7) please show work
(2/5) (-5/7)
What we have to do?To simplify the equation
Step by step explanation:Step 1:
[tex] \blue{= \dfrac{2}{5} \times \dfrac{ - 5}{7} }[/tex]
[tex]\green{so \: after \: simplifying \: the \: equation \: it \: will \: look \: like \: this}[/tex]
Step 2:
[tex] \blue{= \dfrac{2}{1} \times \dfrac{ - 1}{7} }[/tex]
Step 3:
[tex] \blue{=\dfrac{ - 2}{7} }[/tex]
Step 4:
[tex]\blue{=−0.28571✓}[/tex]
________________________________With regards!
★Dull Star★
Help a nikah out plz lol thx for the help
Answer:
18
Step-by-step explanation:
trapezoid area:
[tex]A=\frac{1}{2} (b_1+b_1)(h)\\A=\frac{1}{2} (4+8)(3)\\A=18[/tex]
If a 12.4 centimeter cloth is cut into 3.1 inch ribbons, how many ribbons will there be?
Please help with number 3
9514 1404 393
Answer:
13/8
Step-by-step explanation:
Put the numbers in the formula and do the arithmetic.
[tex]\dfrac{4\dfrac{2}{3}-\left(-1\dfrac{5}{6}\right)}{-7\dfrac{3}{4}-(-11.75)}=\dfrac{6.5}{4}=\boxed{\dfrac{13}{8}}[/tex]
find the value of the derivative at the indicated point. f(x)=2+3cosx, (π,-1)
Answer:
0
General Formulas and Concepts:
Derivative is the slope of the tangent line
Derivative of a constant = 0Derivative of cos(x) = -sin(x)Step-by-step explanation:
Step 1: Write function
f(x) = 2 + 3cos(x) (π, -1)
Step 2: Solve
Find 1st Derivative: f'(x) = -3sin(x)Substitute: f'(π) = -3sin(π)Evaluate: f'(π) = -3(0)Multiply: f'(π) = 0Step 3: Define
f'(π) = 0 tells us that when x = π, the slope of the tangent line is 0.
The highest temperature recorded in the town of Westgate this summer was 93°F. Last winter, the lowest temperature recorded was -13°F. Find the difference between these two extreme temperatures.
Answer:
80
Step-by-step explanation:
Complete the square to solve the equation below
MExact Form:
x
=
±
√
39
+
5
Decimal Form:
x
=
11.24499799
…
,
−
1.24499799
…
I need help, anyone please.
Answer:
Its B
Step-by-step explanation:
Linear funtions need 1 x value for every y value so its B