Answer:
7 feet per yearStep-by-step explanation:
Average growth rate is the difference in growth over the period of the time:
(51 - 12 1/2) ÷ 5 1/2 = (102 - 25)/2 ÷ 11/2 = 77/2 × 2/11 = 7 feet / yearPerchlorate is a chemical used in rocket fuel. People who live near a former rocket-testing site are concerned that perchlorate is present in unsafe amounts in their drinking water. Drinking water is considered safe when the average level of perchlorate is 24.5 parts per billion (ppb) or less. A random sample of 28 water sources in this area produces a mean perchlorate measure of 25.3 ppb. Which of the following is an appropriate alternative hypothesis that addresses their concern?
A) H: 25.3.
B) H: > 25.3.
C) H u <24.5.
D) Hu> 24.5. 27.
Answer:
[tex]H_1 : \mu > 24.5[/tex]
Step-by-step explanation:
From the given information:
The sample size is 28
The population mean is 24.5 (ppb)
The sample mean is 225.3 (ppb)
Thus, the null and the alternative hypothesis can be computed as:
Null hypothesis:
[tex]H_o : \mu \le 24.5[/tex]
Alternative hypothesis:
[tex]H_1 : \mu > 24.5[/tex]
The alternative hypothesis addresses their concern which is Hₐ: μ > 24.5. Then the correct option is D.
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
Perchlorate is a chemical used in rocket fuel.
People who live near a former rocket-testing site are concerned that perchlorate is present in unsafe amounts in their drinking water.
Drinking water is considered safe when the average level of perchlorate is 24.5 parts per billion (ppb) or less.
A random sample of 28 water sources in this area produces a mean perchlorate measure of 25.3 ppb.
The null hypotheses and alternative hypotheses can be given as
Null hypotheses
H₀: μ ≤ 24.5
Alternative hypotheses
Hₐ: μ > 24.5
More about the null hypotheses and alternative hypotheses link is given below.
https://brainly.com/question/9504281
What is the slope-intercept form of the equation of the line parallel to the line in the graph that passes through the point (-1, 1)?
Answer:
undefined
Step-by-step explanation:
Name the segment that is parallel to the
given segment.
9. AB
10. BC
11. EF
12. CA
13. GE
14. FG
Answer:
13 is the answer (GE) i hope this helped
What is the area of a circle whose radius is 50?
Answer:
area of circle=πr²=π50²=2500πunit²
Find the value of x.
9514 1404 393
Answer:
120°
Step-by-step explanation:
There are several ways you can redraw this figure to help you find the value of x. One of them is to draw a line perpendicular to the parallel lines, intersecting the vertices of the given angles*. Then the interior angles of the triangle formed will be ...
125° -90° = 35°
115° -90° = 25°
The angle that is a vertical angle with x is the third angle of the triangle, so its measure is ...
x = 180° -35° -25° = 120°
The value of x is 120°.
Answer:
not sure
Step-by-step explanation:
Can someone help? And show me how to get the answer please..
Answer:
2.6 in
Step-by-step explanation:
From the question given above, the following data were obtained:
Volume (V) of cylinder = 258¾ in³
Height (h) of cylinder = 12 in
Radius (r) =.?
NOTE: Pi (π) = 3.14
The radius of the cylinder can be obtained as follow:
V = πr²h
258¾ = 3.14 × r² × 12
258.75 = 37.68 × r²
Divide both side by 37.68
r² = 258.75 / 37.68
Take the square root of both side
r = √(258.75 / 37.68)
r = 2.6 in
Therefore, the radius of the cylinder is 2.6 in.
Classify the following triangle Check all that apply.
12
YON
NA, obtuse
LM B salene
u Cequilateral
D. sosceles
E, acute
O Fright
Answer:
B and E
Step-by-step explanation:
✔️The triangle given has 3 unequal angles and 3 unequal side lengths. A scalene triangle has unequal angles and side lengths. Therefore, the triangle above is a scalene triangle.
✔️Each of the 3 angles of the triangle is less than 90°. An acute triangle has each of its 3 interior angles measuring less than 90°. Therefore the given triangle above is an acute triangle.
1. identify the corresponding sides on the figure below
Suppose the half-life of a certain radioactive substance is 20 days and there are 50g present initially.
a)
Write an equation that models this situation.
b)
How much radioactive substance is remaining after 12 days?
c)
Find the time when there will be 1g of the substance remaining.
Answer:
a) 10(5g + 2r) weight loss over time
b) 20/12 = 1.66667 = 50 / 1.67 = 29.999 gm = 5(6g -1/50) or 5(5 + g) = 30g
c) 30g = 12 days = 3/5 therefore 5/5 -3/5 = 2/5 = 2/5 x 50 (g) = 20g in 8 days lost
8/20 = 0.4 loss each day 50g - 0.8g = 20-2 = 18 days.
Step-by-step explanation:
Sam ate 2/7 of a pizza. Jules ate 2/5 of the same pizza, not the portion of it left by Sam. How much was left. Write a fraction.
The product of two numbers is 110 the difference of two numbers is one what are the two numbers
Answer:
The correct answer is 10 and 11.
What is the possible value of k such that √50 and √k can be written as a single term?
The possible value of k such that √50 and √k can be written as a single term is; 50
Since √50 and √k are equal as described in the question;
√50 = √k.
The question requests that we determine What is the possible value of k such that √50 and √k can be written as a single term.
The possible value of k is therefore; 50.
Read more;
https://brainly.com/question/11388449
Help with geometry please
9514 1404 393
Answer:
27/36
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the tangent relation is ...
Tan = Opposite/Adjacent
tan C = AB/CB
tan C = 27/36
Write an equation to model the situation and
solve. (4 points)
14) Jill works at a cell phone store. Jill earns
$170 every week plus $65 for every phone
(p) that she sells. If Jill makes $625 at the
end of the week, how many phones did
she sell?
Equation:
Answer:
Step-by-step explanation:
I think 65 divided by 625 is 104 phones jill sold srry if I’m wrongI’m just a kid trying to figure out all this work
QUICK HELP FIRST ONE TO ANSWER ILL MARK BRAINLIEST A rectangular prism has a square base whit a side length of 6 centimeters the height of the prism is 9 centimeters.what is the volume of the rectangular prism is cubic centimeters
Answer:
324 centimeters³
Step-by-step explanation:
The base is square so the length and width are both 6. The height is 9. The formula to solve a rectangular prism's volume is length x width x height. In this case it's 6 x 6 x 9. This is 324.
Hope it helps!
Please help im confused
Answer:
1) 65.1
2) 3.4
Step-by-step explanation:
sorry I can't explain well but those are the answers
Answer:
Step-by-step explanation:
area of rectangle = 8×5 = 40 cm²
area of semicircle = ½×π4² = 8π cm²
total area = 40 + 8π ≅ 65.1 cm²
:::::
area of circle = π2² = 4π in²
area of square = 4⁴ = 16 in²
blue area = 16 - 4π ≅ 3.4 in²
Solve and check the linear equation.
3(x-2) + 8 = 2(x + 5)
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3(x - 2) + 8 = 2(x + 5)
Step 2: Solve for x
(Parenthesis) Distribute: 3x - 6 + 8 = 2x + 10Combine like terms: 3x + 2 = 2x + 10{Subtraction Property of Equality] Subtract 2x on both sides: x + 2 = 10[Subtraction Property of Equality] Subtract 2 on both sides: x = 8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(8 - 2) + 8 = 2(8 + 5)(Parenthesis) Subtract/Add: 3(6) + 8 = 2(13)Multiply: 18 + 8 = 26Add: 26 = 26Here we see that 26 does indeed equal 26.
∴ x = 8 is the solution to the equation.
4. The length of a rectangle is eight more
than twice its width. The perimeter is 96
feet. Find the dimensions of the rectangle.
Variable:
Equation:
Solution:
Answer:
L = length
W = width
L = 2(2W + 8)
W = 2W
Perimeter: 96 = 4W + 16 + 2W
96 = 6W + 16
80 = 6W
13.33 = W
Plug this into the equation:
2(13.33) + 8
26.67 + 8 or 34.67 = L
Step-by-step explanation:
Use the given information to find the measures of all angles formed by parallel lines a,b, and transversal m. The sum of two angels is 68 degrees
Answer:
There is not enough information to solve the problem.
Step-by-step explanation:
The question only gives the information that two angles are summing up to 68 degrees, but doesn't state what angles. As such, we can't determine any angles formed by parallel lines a and b, and transversal m.
The slope is 2.
O True
O False
Answer:
false
Step-by-step explanation:
`Slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{-2}{1}[/tex]. So, it is false.
Answer:
False
Step-by-step explanation:
Slope = Change in y/ Change in x
=(1-3)/(2-1)
=-2
In the text box, write the next 3 terms in the sequence and describe the pattern. In the checkbox, identify if the sequence is arithmetic, geometric or neither and identify if the sequence has a common ratio, a common difference or neither.
-4, -2, 0, 2, ____, ____, ____,
Arithmetic
Geometric
Neither
Common difference
Common ratio
Answer:
d = 2
Next 3 terms = 4, 6 and 8
Step-by-step explanation:
Given the sequence
-4, -2, 0, 2, ____, ____, ____,
common difference = -2-(-4) = 0-(-2) = 2
Since they have the same common difference, hence it is an arithmetoc progression
Tn = a +(n-1)d
a is the first term = -4
n is the number of terms
d is the common difference = 2
Get the fifth term
T5 = -4+(5-1)2
T5 = -4+(4)(2)
T5 = -4 + 8
T5 = 4
T6 = -4+(6-1)2
T6 = -4+(5)(2)
T6 = -4 + 10
T6 = 6
T7 = -4+(7-1)2
T7 = -4+(6)(2)
T7 = -4 + 12
T8 = 8
Hence the next 3 terms are 4, 6 and 8
What does this fraction show or model what’s the answer I need help
Answer:
I belive that the answer is D because there is 2 items and if u count the different colors by 1 it would be 6
help me please I'll give you brainliest
Answer:
x means
Step-by-step explanation:
10x means that the x is something you would times to get the number you want which is 44 so 10 times x=4. hope this helped :)
Answer:
15
Step-by-step explanation:
2(8x - 23) = 10x + 44
16x - 46 = 10x + 44
6x = 90
x = 15
A line passes through the points (4,9) and (12,20) what is the slope of the line?
Answer:
11/8
Step-by-step explanation:
[tex]slope = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
20 - 9 = 11
12 - 4 = 8
slope = 11/8
Average movie prices in the United States are, in general, lower than in other countries. It would cost $78.23 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $74.02 . How much does an average movie ticket cost in each of these countries?
Answer:
In costs $17.19
Step-by-step explanation:
Combine these radicals.
- 12V12-23
O -503
0-2275
O -263
0 -10/12
Answer
its the 3rd answer 26V3
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. The article "Nutrient Intakes and Dietary Patterns of Older Americans: A National Study" (J. of Gerontology, 1992: M145–150) reports the following summary data on intake for a sample of males age 65–74 years: n=115, barx =11.3, and s=6.43. Does this data indicate that average daily zinc intake in the population of all males ageing 65–74 falls below the recommended allowance?
A. State the null and alternative hypotheses.
B. Calculate the test statistic
C. Define the rejection region at ?=0.05.
D. Make a decision about the test and interpret.
E. Find the p-value corresponding to the test and based on which make a decision about the test. (The decision should be the same with D.)
Answer:
H0 : μ = 15
H1 : μ < 15
−6.170774
Step-by-step explanation:
Given :
n=115, barx =11.3, and s=6.43
H0 : μ = 15
H1 : μ < 15
−0.053658 ;
The test statistic :
(xbar - μ) ÷ s/sqrt(n)
(11.3 - 15) ÷ (6.43/sqrt(115))
Test statistic = −6.170774
Rejection region :
Reject Null ; if
Tstatistic < Zcritical
The P value is 0.00001 ; using the p value from Z calculator
Since,
P value < α
0.00001 < 0.05
Reject the null
I need help with this ion understand it
Answer:
c. 30
Step-by-step explanation:
Reference angle = [tex] /theta [/tex] = ?
Hypotenuse = 23
Adjacent side = 20
Thus, applying CAH:
[tex] Cos(/theta) = \frac{adj}{hyp} [/tex]
[tex] Cos(/theta) = \frac{20}{23} [/tex]
[tex] /theta = cos^{-1}(\frac{20}{23}) [/tex]
[tex] /theta = 29.5918458 [/tex] ≈ 30° (nearest degree)
How many gallons of a 25% acid solution should be added to 10 gallons of a 12% acid solution to obtain a 20% acid solution?
Answer:
16 Gallons
Step-by-step explanation:
x = 25% gallon amount
.25 x + .12 (10) = .20 (10+x)
.05x = .8
x = 16 gal of 25%
The number of gallons of acid solution that should be added to 10 gallons of a 12% acid solution to obtain a 20% acid solution is 16.
What is the equation?An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
The percentage of acid in gallon solution = 25%,
The percentage of acid in 10 gallons = 12%
Suppose there are x total gallons,
Write the equation as shown below,
25% of (x - 10) + 12% of 10 = 20% of x
0.25 × (x - 10) + 0.12 × 10 = 0.2x
0.25x - 2.5 + 1.2 = 0.2x
0.25x - 0.2x = 2.5 - 1.2
x = 1.3 / 0.05
x = 26
Thus, the number of gallons of 25% acid solution = 26 - 10 = 16.
To know more about equation:
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Identify the expression 64^(1/2) shows the following number rewritten as a radical.
√(1/2&64)
√64
1/2 √64
8
Show your work.
Answer:
√64
Step-by-step explanation:
In mathematics, an expression involving the root (√) sign is regarded as a radical.
64^(1/2)
This is the same as;
√64
- √(1/2&64) This option is wrong.
- √64 This option is correct
- 1/2 √64 This option is wrong.
- 8 This option is wrong.