Answer:
[tex]z = -0.8[/tex]
Step-by-step explanation:
Given
[tex]n = 32[/tex] --- samples
[tex]\mu = 18g[/tex] --- mean
[tex]\sigma =5g[/tex] --- standard deviation
[tex]x = 14g[/tex] --- observed value
Required
Find the standardized score
This is calculated as:
[tex]z = \frac{x - \mu}{\sigma}[/tex]
So:
[tex]z = \frac{14g -18g}{5g}[/tex]
[tex]z = \frac{-4g}{5g}[/tex]
[tex]z = \frac{-4}{5}[/tex]
[tex]z = -0.8[/tex]
The standardized score is -0.8
how do I solve "k−26.5=99.1"
Answer: =125.6
Step-by-step explanation:
Add 26.5 to both sides of the equation
Simplify
how many roots does y= x^5- 4x^2+ 3x
A.3
B.4
C.5
D.6
(x^2 is the power to)
Answer: 4
Step-by-step explanation:
We can write the equation as
[tex]x(x-1)^{2}(x^{2}+2x+3)=0\\\\x=0, 1, -1 \pm i\sqrt{2}[/tex]
Therefore, there are 4 distinct roots.
PLEASE HELP!!!!
The composite figure shown is made of a trapezoid and a
square. What is the area of the figure
Answer:
164 ft squared
Step-by-step explanation:
Write an equation in slope-intercept form for the line with slope -3/2 and y -intercept 2 .
Answer:
Y= -3/2x + 2
If the y-intercept was negative it would be y= -3/2-2
Tyrell buys a sandwich for $7 and some cookies that cost $0.75 each. To use his debit card, Tyrell must make a purchase at least $10. how many cookies does he buy
A square sandbox has sides that are 10 feet long. What is the sandbox's area?
Answer:
0.0929
Step-by-step explanation:
thats the answer
In 1995 you purchased some land for $8000.
The value of the land depreciates by 4%
every year. Use an exponential decay
function to find the approximate value of the
land in 2002. Use y = a(1-r)
A. $5760
B. $5771
C. $6012
D. $6262
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
You are removing 20 dollars a year.
what is log17 60 evaluated?
Answer:
1.77815125038
Step-by-step explanation:
HELP PLS!!!
120=x-523?
Answer:
-62760
Step-by-step explanation:
Enter the area of the triangle in square meters.Round your answer to the nearest hundredth.
Answer:
6.24
Step-by-step explanation:
To find the area of the triangle, it is base times height divided by 2 after you multiply. Height is 90 degrees from base so remember that.
In this example, do (2.6 x 4.8)/2
Equals 6.24
help please please do it quickly thxs
A lab currently has 70 mg of radioactive material that decays at 3.5% per year. Federal regulation for the substance says that the material must be safely stored until it reaches its half-life, at which time the material can be disposed.
How many years will the lab have to safely
store the material before disposal?
Answer:
The lab will have to wait 19.45 yers to safely store the material before disposal.
Step-by-step explanation:
Exponential equation for substance decay:
A exponential equation for the amount of a substance after t years is given by:
[tex]A(t) = A(0)(1-r)^{t}[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Decays at 3.5% per year.
This means that [tex]r = 0.035[/tex]
So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
[tex]A(t) = A(0)(0.965)^{t}[/tex]
How many years will the lab have to safely store the material before disposal?
It needs to reach half-life, that is, t for which A(t) = 0.5A(0). So
[tex]A(t) = A(0)(0.965)^{t}[/tex]
[tex]0.5A(0) = A(0)(0.965)^{t}[/tex]
[tex](0.965)^t = 0.5[/tex]
[tex]\log{(0.965)^t} = \log{0.5}[/tex]
[tex]t\log{0.965} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.965}}[/tex]
[tex]t = 19.45[/tex]
The lab will have to wait 19.45 yers to safely store the material before disposal.
Select the correct answer. The hiking club is getting new T-shirts and will vote to choose the design. Marianna and Chloe are each designing a T-shirt using a computer program. Marianna’s design features an image of the mountains, with the peaks and valleys modeled by function m, where x is the horizontal distance, in inches, from the left edge of the design. Chloe’s design also features an image of the mountains, with the peaks and valleys modeled by function c, where x is the horizontal distance, in inches, from the left edge of the design. Which T-shirt design has the lowest valley floor over the first 6 inches of the design? Both designs have valley floors at the same height over the first 6 inches of the design. Marianna’s design doesn’t have a valley floor over the first 6 inches of the design. Chloe’s design has the lowest valley floor over the first 6 inches of the design. Marianna’s design has the lowest valley floor over the first 6 inches of the design.
Answer:
Step-by-step explanation:
What are the choices
Answer:
mariannas design has the lowest valley floor over the first 6 inches of the design
Step-by-step explanation:
correct.
Trang and Anh are dancing in the Dance-a-Thon to raise awareness and money for the Children’s Hospital. Trang donated $22 and earns $212 for every consecutive hour she dances. Anh donated $25 and earns $198 for every consecutive hour she dances. They both danced for the same amount of time and together raised $2,609.50. How much more money did Trang raise than Anh? Justify your answer.
Answer:
1304.75
Step-by-step explanation:
Pls help Find the value for n try to use x/y Pls pls pls help il mark brainliest pls i really need help pls pls help
Answer:
coprs said the United of a group that had to take the first time and was not the first person in a while and
Step-by-step explanation:
What fraction of the catapults flung a marshmallow 30 inches or less?
Answer:
1/4
Step-by-step explanation:
Each whisker represents 1/4 of data
-7 2/3+(-5 1/2) +8 3/4=
Step-by-step explanation:
Please refer to the attachment
Solve for x. Round to the nearest tenth.
15°
33
x
The length of x in the right triangle is 31.9 units.
How to solve the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the side of a right triangle can be found using trigonometric ratios as follows:
Hence,
cos 15° = adjacent / hypotenuse
adjacent side = x
hypotenuse side = 33 units
cos 15° = x / 33
cross multiply
x = 33 cos 15°
x = 33 × 0.96592582628
x = 31.8755522675
Therefore,
x = 31.9 units
learn more on right triangle here:https://brainly.com/question/20046799
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Calcule o quociente e o resto da divisão, usando a divisão inteira de polinómios,
de: -6x^3+4x^2-3 por 2x+2
Answer:
can you type it in english pls, thank you
5th grade math. Correct answer will be marked brainliest:
Answer:
(6,6)
Step-by-step explanation:
Answer:
(6,6)
Step-by-step explanation:
hope this helps have a great day.
simplify the following expression 3 x 6 + 5 x 2 diveded by 7
I needed the answer in one second please
Answer:
4
Step-by-step explanation:
Negative nine times a
number equals -117.
Unit 10: Circles Homework 4: Inscribed Angles
Find each angle or arc measure of mRS
Answer:
96 degrees
Step-by-step explanation:
Since you know that arc are twice the angle measure, that means arc RT is 42 * 2 = 84. Then, you have to find the measure of RS.
Remember that arc RT and RS have to add up to 180 degrees because they form a semicircle (half of a circle).
To find the measure of RS, just do 180 - 84 = 96 degrees.
Nathan is baking cookies and the recipe calls for 3 2/3 cups of water. He needs to make 1 whole batch and only 1/2 of another batch, for a total of 1 1/2 batches.
How much water will Nathan need to bake the cookies? Draw a diagram to show how much water will be needed.
Answer:
Around 5.5 or 5 1/2
Step-by-step explanation:
Which of the equations below could be the equation of this parabola?
(0,0)
Vertex
A. y = 1/4x²
B. x = 1/4y²
C. y = -1/4x²
D. x= -1/4y²
Answer:
B. x = 1/4y²
Step-by-step explanation:
The equation of a parabola is x = 1/4y². Therefore, option B is the correct answer.
What is the parabola?A parabola refers to an equation of a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. The fixed point is called the focus of the parabola, and the fixed line is called the directrix of the parabola.
From the graph,
x-intercept(s): (0,0)
y-intercept(s): (0,0)
Vertex is (0, 0)
Directrix, x=-1
Here, the axis of symmetry is y=0
So, the equation is x = 1/4y²
Therefore, option B is the correct answer.
To learn more about the parabola visit:
https://brainly.com/question/21685473.
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PLssssss help me with this question!!
Answer: a. equivalent b. not equivalent
c. equivalent d. not equivalent
Step-by-step explanation:
A cell phone plan charges $19.90 a month, plus $0.05 per text message
Create & solve an inequality that represents the number of texts, t, that can be
sent while still keeping the monthly bill under $25?
Answer:
[tex]19.9+0.05t<25[/tex]
Less than 102 text messages.
Step-by-step explanation:
Monthly charge of cell phone = $19.90
Cost of one text message = $0.05
Let number of text messages be [tex]t[/tex]
The monthly bill should be less than $25. So,
[tex]19.9+0.05t<25[/tex]
The required inequality is [tex]19.9+0.05t<25[/tex]
[tex]19.9+0.05t<25\\\Rightarrow 0.05t<25-19.9\\\Rightarrow t<\dfrac{5.1}{0.05}\\\Rightarrow t<102[/tex]
So, the number of text messages that can be sent while keeping the bill under $25 is less than 102.
: What does the value of f(3) represent in the given context?
A.
After 4 bounces the height of the ball is 3 feet.
B.
After 4 bounces the height of the ball is 4 feet.
C.
After 3 bounces the height of the ball is 3 feet.
D.
After 3 bounces the height of the ball is 4 feet.
Answer: D
Step-by-step explanation: on The graph it shows the height of the ball after 3 bounces is 4 feet
Dionne can fold 175 packing boxes in 50 minutes.
Elias can fold 120 packing boxes in 40 minutes.
Use unit rates to find how much time it will take each person to fold 210 packing boxes.
Drag the numbers to explain and show your answer. Numbers may be used once or not at all.
370803.54.550604
Dionne can fold
boxes in 1 minute and Elias can fold
boxes in 1 minute.
Dionne will fold 210 boxes in
minutes and Elias will fold 210 boxes in
minutes.
REFER THE ATTACHMENT ABOVE ☝☝☝☝
Answer:
[tex] \frac{176}{50m} = \frac{3.5}{1} [/tex]
RESULT
Use ratio and proportion.
Let x be the time it takes Dionne to fold 210 packing boxes:
[tex] \frac{175}{50} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 175x = 50(210) \\ \\ x = \frac{50(210)}{175} \\ \\ x = \frac{50(210)}{175} \\ \\ x = 60[/tex]
So, it will take Dionne 60 minutes to fold 210 packing boxes.
Let y be the time it takes Elias to fold 210 packing boxes:
[tex] \frac{120}{40} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 120x = 40(210) \\ \\ x = \frac{40(210)}{120} \\ \\ \\ x = 70[/tex]
So, it will take Elias 70 minutes to fold 210 packing boxes.
PLEASE HELP ME KSDAKJDSAJDJKS
Answer: x = 16
Step-by-step explanation:
60x - 60 = 900
60x = 960
60x / 60 = 960 / 60
x = 16