Answer:
The width is 3 ft
The length is 12 ft
Step-by-step explanation:
Let w = width
l = 4w
A = l*w
Replace length with 4w
A = 4w*w
36 = 4 w^2
Divide each side by 4
36/4 = 4w^2/4
9 = w^2
Take the square root of each side
sqrt(9) = sqrt(w)
3 =w
The width is 3 ft
The length is 4*3 = 12 ft
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
Solve for x.
28
42
16
x
i need help this is timed i will mark u as brainliest.
Answer:
-8
Step-by-step explanation:
np
Answer:
I'm not very sure but it might be 12.
I'm very sorry if this is incorrect and I am going to vote myself 2 stars so you see this last
i-i dont deserve these points
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
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.
Demarcus wants at least $18 to buy a
shirt. He already has $4. Write
the inequality that could be used to find
how much more money, m, Demarcus
needs?
Answer:
18= 4+ x
Step-by-step explanation:
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.
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.
what is Midsegment of a Triangle Theorem
Answer: The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.
Step-by-step explanation:
( 4.5 x 10 ⁴ ) ÷ (300) =
Answer:150
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
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.
Jake and Logan are partners in business. Jake makes $2in profit for $5 that Logan makes. if Logan makes $20 profit on the first item they sell, how much profit does jake make
Answer:
Jake will make 8$
Step-by-step explanation:
20/5=4
4x2=8
You can use a calculator if you want :)
Answer:
A. -0.02
Step-by-step explanation:
-[tex]\frac{5}{25}[/tex]=-[tex]\frac{1}{5}[/tex]
1/5 is 20%
-1/5 is -20%
-.02% is greater because it's closer to zero
Complete the square to solve the equation below
MExact Form:
x
=
±
√
39
+
5
Decimal Form:
x
=
11.24499799
…
,
−
1.24499799
…
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
Which equation represents the unit fraction shown in the diagram? A grid model with 100 squares. 20 squares are shaded.
Answer:
20 over 100 = 1 over 5
Step-by-step explanation:
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.
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$
−6.5(n−5)=18.2 what is the value of n?
Answer: The value of n is 2.2
Step-by-step explanation:
If a 12.4 centimeter cloth is cut into 3.1 inch ribbons, how many ribbons will there be?
what is the product of 50x0.08 M
Answer:
4
Step-by-step explanation:
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
Boleslaw: How many yards for 8 uniforms?
One uniform equals 12 yards, so multiply 8x12 and you get 96 yards.
can someone help me? pls find the length of AB
use a divider to find the length of the middle line then use
Is the question inconsistent or conditional?
Answer:
it is inconsistent
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
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Hold up i know the answer.
Step-by-step explanation:
A certain shade of pink us created by adding 3 cups of red paint to 7 cups of white paint
Answer:
A certain shade of pink us created by adding 3 cups of red paint to 7 cups of white paint
Step-by-step explanation:
Constant of proportionality is the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.
To make color pink,
for every 3 cups of red , we need 7 cups of white.
Let 'r' be the cups of red required
let 'w' be the cups of white required
so , as per the question
for 3 r we need = 7 w
r = 7/3 w
so, 7/3 is constant of proportionality
60000/23/35767755x100000=? whats he answer?
Answer:7.293428542
Step-by-step explanation:Calulator :D
(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]
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