this process is modeled by the next formula:
\(P(t)=P_0(2)^{\frac{t}{t2}}\)where P(t) is the population after time t, P0 is the initial population, and t2 is the time needed by the population to double.
Substituting with P0 = 550,000, t = 208, and t2 = 52, we get:
\(\begin{gathered} P(t)=550,000(2)^{\frac{208}{52}} \\ P(t)=550,000(2)^4 \\ P(t)=550,000\cdot16 \\ P(t)=8,800,000 \end{gathered}\)The population will be 8,800,000
Joe works as a welder. He makes $8.50 an hour.
He gets time and a half for overtime(over 40 hours).
Joe worked 45 hours, what is his weekly pay
this week.
9514 1404 393
Answer:
$403.75
Step-by-step explanation:
Joe worked 45 -40 = 5 hours of overtime this week. "Time and a half" means he will be paid for an additional 5/2 = 2.5 hours, so his gross pay this week is ...
(45 +2.5)($8.50) = $403.75
9 is 50% of what number plz help
Answer:
9 is 50% of number 18
'cuz u should do 18/2=9
Answer:
9 / 50% = Y / 100%
Solve for Y
50Y = 9 x 100
50Y = 900
Y = 900 /100 = 18
note: when i put / it means fraction
so the answer to your question is 18 :D
48 divided by 76.8
I am very confused on the two digits numbers
Please answer this correctly
Answer:
Step-by-step explanation:
Area = area of triangle + area of rectangle 1 + area of rectangle 2 + area of rectangle 3
= (1/2)*10*20 + 9 * 14 + 21* 3 + 5*7
= 100 + 126 + 63 + 35
= 324 sq.in
What is the value of P(X= 2 or X = 0)?
Enter your answer in the box.
P(X= 2 or X = 0) =
X
0
1
2
3
4
5
P
0.3
0.05
0.1
0.15
0.15
0.25
So, the value of P (X=2 or X=0) is 0.4.
What does probability mean?Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that it is certain to occur.
For example, if you flip a fair coin, the probability of it landing on heads is 0.5 or 50%, as there are only two possible outcomes (heads or tails) and they are equally likely to occur.
Probability is used extensively in fields such as statistics, mathematics, and science to model and analyze uncertainty and randomness. It is also used in practical applications such as gambling, risk assessment, and decision making.
o find the probability of X being 2 or 0, we need to add the probabilities of the two events.
P(X=2 or X=0) = P(X=2) + P(X=0)
From the given table, we can see that:
P(X=2) = 0.1
P(X=0) = 0.3
Therefore,
\(P (X=2 or X=0) = 0.1 + 0.3 = 0.4\)
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When practicing statistics in real life, it is not very important to check the necessary assumptions of a statistical procedure in order to effectively carry out and use the results. True False
The given statement is FALSE.
Given statement;
When practicing statistics in real life, it is not very important to check the necessary assumptions of a statistical procedure to effectively carry out and use the results.
The above-mentioned statement is FALSE.
→ We are aware that checking assumptions is crucial when applying statistics in daily life because failing to do so will prevent us from receiving fair answers to our statistical queries or drawing valid inferences. To use the good process and appropriate statistical distributions while utilizing statistics in daily life, it is crucial to examine assumptions.
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Paulas cat weighs 8 5/8 pounds. Calebs cat weighs 11 1/8 pounds. What is the total weight of both cats?
Answer:
19 6/8 or 19 3/4
I’m not sure if you want the smallest possible fraction or not. If you don’t know just put the second one. K.
Which expression is equivalent to 4^7/8
4^1/4?
The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.
Circles C, D, and F overlap. Circle C contains 15, circle D contains 21, and circle F contains 12. The overlap of C and F contains 2, the overlap of F and D contains 0, and the overlap of D and C contains 3. The overlap of all 3 circles contains 1. Number 14 is outside of the circles.
How many people are in the set C ∩ D?
4
6
36
38
The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.
The correct answer is 4.
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.
Given information:
- Circle C (cats): 15
- Circle D (dogs): 21
- Circle F (fish): 12
- Overlap of C and F: 2
- Overlap of F and D: 0
- Overlap of D and C: 3
- Overlap of all 3 circles: 1
- Number outside of circles: 14
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.
From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.
To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.
Therefore, from the options given correct one is 4.
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Answer: 4
Step-by-step explanation:
trust me bro
In a random sample of 60 computers the mean repair cost was $150 with a standard deviation of $36. Construct a 99 % interval for the
population mean.
The required confidence interval of the random sample of the given data is (151.5456, 148.4544).
What is confidence interval?Statisticians use confidence intervals to gauge vulnerability in an example variable. For instance, a scientist chooses various examples haphazardly from a similar populace and figures a certainty stretch so that each example might be able to perceive how it might address the genuine worth of the populace variable. The subsequent datasets are different where a few stretches incorporate the genuine populace boundary and others don't.
According to question:In an random sample of 60 PCs, the mean fix cost was $150, with the populace standard deviation being $36.
Standard deviationσ = $36, μ = $150 , n = 60
Value of z for 99% confidence interval is 2.576
Then,
Confidence interval = μ±z(σ/n)
Confidence interval = $150 ± 2.576(36/60)
Confidence interval = $150 ± 1.5456
Confidence interval = $150 +1.5456 , $150 - 1.5456
Confidence interval = 151.5456, 148.4544
Thus, required interval is (151.5456, 148.4544).
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i need help please plaeswwosadcwefcuwn
The true statement is that both √15 and √0.001 are irrational , the correct option is (c).
Rational Numbers can be defined as the numbers that can be expressed in the form of p/q , where p and q are integers and q not equal to 0 .
For Example : 2/3 , 2, 8/3 are all Rational Numbers.
Irrational Numbers can be defined as the numbers that cannot be expressed in the form of p/q where , p and q are integers and q not equal to 0 .
For Example : √2 , √37 are irrational as they cannot be expressed in the form of p/q.
In the question ,
two numbers √15 and √0.001 are given .
the first number √15 is not a perfect square , hence not an integer ,
So, √15 is an irrational number .
the second number
√0.001 = √(1/1000) = 1/√1000 = \(\frac{1}{10\sqrt{10} }\)
we see that √10 is not an integer , hence √0.001 is an irrational number .
Therefore , the true statement is that both √15 and √0.001 are irrational , the correct option is (c).
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What is the purpose of a Vertical Line Test and how is the test conducted?
Answer:
Step-by-step explanation:
A Photograph enlarged to make a poster, the photograph is 10cm wide and 15cm high, The poster is 35cm wide, how high is the poster?
Answer:
52.5 cm
Step-by-step explanation:
Assuming the scale factor is the same in all directions, for poster height h, we have ...
height/width = h/(35 cm) = (15 cm)/(10 cm)
h = (35 cm)(15/10) = 52.5 cm . . . . . multiply by 35 cm
The poster is 52.5 cm high.
use the Distributive Property to express 64 + 24
___(__+__)
Answer:
8(8+3)
Step-by-step explanation:
64+24
(8×8) + (8×3)
8×(8+3)
8(8+3)
What is the product of these fractions in lowest term?
5/10 x 4/5
Find the measure of BC
Using central angle theorem,
The measure of the arc BC = 110°.
Define central angle?An angle with its vertex in the middle of the circle it creates with its two radii is said to be central.
Here in the question,
As per the central angle theorem:
(2x -30) ° + x° = 180°
⇒ 2x - 30 + x = 180
⇒ 3x - 30 = 180
Adding 30 on both sides:
⇒ 3x = 180 + 30
⇒ 3x = 210
Dividing both sides by 3.
⇒ x = 70°
Now BC = 2x-30
= 2 × 70 -30
= 140 - 30
= 110°
Therefore, the measure of BC = 110°.
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6k²+16k=0
x²-5x= 0
ANSWer these noeww!
Answer:
1) k = (-8)/5
2) x = 5
Step-by-step explanation:
1)
\(6 {k}^{2} + 16k = 0\)
\( = > 2k(3k + 8) = 0\)
\( = > 3k + 8 = \frac{0}{2k} = 0\)
\( = > 3k = - 8\)
\( = > k = \frac{ - 8}{3} \)
2)
\( {x}^{2} - 5x = 0\)
\( = > x(x - 5) = 0\)
\( = > x - 5 = \frac{0}{x} = 0\)
\( = > x = 5\)
The committee spends $462 on costumes for 24 people. Each costume costs the same amount of money.
How much did each costume cost, in dollars?
Answer:
Step-by-step explanation: 462 Divided by 24 = 19.25$
Proof: 19.25 x 24 = 462
Answer: 19.25$
You took out a loan for $15,000 for 3 years with an interest rate of 3.5%. Including interest, how much will you pay total?
Answer:
39%
Step-by-step explanation:
PLEASE FAST
Solve the equation for t.
4(t – 2.9) ≥ 3.6
t ≥ 17.3
t ≥ 11.5
t ≥ 3.8
t ≥ 1.6
Answer:3.8
Step-by-step explanation:
1/2x+7=x+13 what does x equal ?
Answer:
easy it is
x= -12
Step-by-step explanation:
Rebecca and John worked a total of 25 hours last week. If Rebecca worked R hours and John worked 5 hours less than Rebecca, which of the following equations represents the situation?
Answer:
25=r+5
he worked 20
Step-by-step explanation:
Please help!!!!!!!!
Answer:
He rode 20 miles in 2 hours
Which line represents the linear equation
-3y = 15 - 4x?
The equation -3y = 15 - 4x rewritten in slope-intercept
form is
The y-intercept is
x and the slope of the line is
Line
is the graph of the line -3y = 15 - 4x.
What's 9 + 10? ______________________________________________________
Answer:
Hmm, that's a tough one. I think it's 19. I'm not sure though.
Answer:
19
Step-by-step explanation:
Let f(x) = 5(3)x
The graph of f(x) is stretched vertically by a factor of 2 to form the graph of g(x).
Choose the equation of g(x).
Responses
g(x) = 10(3)xg(x) = 10(3)x
g(x) = 7(3)xg(x) = 7(3)x
g(x) = 2(3)xg(x) = 2(3)x
g(x) = 5(6)x
The required equation is g(x) = 10(3)x which is the correct answer would be an option (A).
The graph of g(x) is obtained by stretching the graph of f(x) vertically by a factor of 2.
Since the vertical stretch of a graph multiplies the y-coordinates of each point on the graph by a constant factor, the equation of g(x) must be obtained by multiplying the y-coordinate of each point on the graph of f(x) by 2.
In the given equation f(x) = 5(3)x, the y-coordinate of each point on the graph of f(x) is 5(3)x.
Thus, to stretch the graph of f(x) vertically by a factor of 2, we need to multiply this y-coordinate by 2 to get the y-coordinate of the corresponding point on the graph of g(x). This gives us the following equation for g(x):
⇒ g(x) = 2 × 5(3)x = 10(3)x
Therefore, the required equation is g(x) = 10(3)x.
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PLZ ANSWER FAST (40 POINTS + BRAINLIEST)
Rewrite the expression \(y\frac{2}{3}\) as a radical expressions.
Answer:
\( \sqrt[3]{y {}^{2} } \)
Using a pencil, paper, and protractor, or a drawing program, draw an isosceles triangle that has exactly one 50° angle. Use the appropriate geometric markings to label the triangle, angle measures, and congruent sides. Include your drawing in your answer.
If another person were given these same instructions, would their drawing look the same or different? Explain your reasoning using complete sentences.
A person given the same details would construct a similar triangle, but might not construct a congruent triangle
How to construct the triangle?To construct the isosceles triangle, we make use of a drawing program.
Using the drawing program, we have the following parameters:
AC = BC = 8 units
AB = 6.76 units
∠A = ∠B = 65°
∠C = 50°
See attachment for the isosceles triangle.
A construction by another personWhen another person is given the same details, the person may or may not construct a drawing that looks like this.
However, the person's construction would be similar to the one I attached.
The reason for this is that, only an angle measure is given.
An angle measure can be used to create similar triangles (by AAA similarity theorem) but it does not guarantee congruent triangles
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angles of polygons help
The interior angle of the polygon is approximately 128°57 'degrees.
What do you mean by Polygons?
In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides)
To find the interior angle of a polygon, we can use the formula:
Interior angle = (n-2) x 180 / n, where n is the number of sides of the polygon.
However, since we are not given the number of sides of the polygon, we can use the fact that the sum of the interior angles of a polygon with n sides is equal to (n-2) x 180 degrees.
So, we can first find the sum of the given angles:
136°57' + 98°12' + 156°14' + 115°12' + 122°43' + 136°18' = 765°36'
Next, we can use the fact that the sum of the interior angles of a polygon with n sides is equal to (n-2) x 180 degrees, and solve for n:
(n-2) x 180 = 765°36'
n - 2 = 4.252
n = 6.252
Since n must be a whole number, we can round up to n = 7.
Now, we can use the formula for the interior angle of a polygon with n sides:
Interior angle = (n-2) x 180 / n
Interior angle = (7-2) x 180 / 7
Interior angle = 128.57 degrees
Therefore, the interior angle of the polygon is approximately 128°57'degrees.
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2) Subtract and simplify. 11 7\10 − 7 3\10 =
Answer:
4 2/5
Step-by-step explanation:
11 7/10
- 7 3/10
----------------
4 4/10
4 4/10 = 4 2/5