9514 1404 393
Answer:
1367 people
Step-by-step explanation:
The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...
i(t) = 1000(1.2^(t/7))
After 12 days, the number infected is modeled as ...
i(12) = 1000(1.2^(12/7)) ≈ 1367
About 1367 people are infected 12 days after discovery.
A contractor is required by a county planning department to submit 1, 2, 3, 4, or 5 forms (depending on the nature of the project) when applying for a building permit. Let y denote the number of forms required for an application, and suppose the mass function is given by p(y) 5 cy for y 5 1, 2, 3, 4, or 5. Determine the value of c, as well as the long-run proportion of applications that require at most three forms and the long-run proportion that require between two and four forms, inclusive.
Answer:
[tex](a)\ c = \frac{1}{15}[/tex]
[tex](b)\ 40\%[/tex]
[tex](c)\ 60\%[/tex]
Step-by-step explanation:
The given parameters can be represented as:
[tex]P_Y(y) \ge 0, y =1,2,3,4,5[/tex]
[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]
Solving (a): The value of c
To do this, we make use of the following rule;
[tex]\sum\limit^5_{y=1}P_Y(y_i) = 1[/tex]
Given that:
[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]
This is translated to:
[tex]c*1 + c * 2 + c * 3 + c * 4 + c * 5 = 1[/tex]
[tex]c + 2c + 3c + 4c + 5c = 1[/tex]
[tex]15c = 1[/tex]
Solve for c
[tex]c = \frac{1}{15}[/tex]
(b) The proportions of applications that requires at most 3 forms
This implies that: y = 1,2,3
So, we make use of:
[tex]P(Y \le 3) = P(Y=1) + P(y=2) + P(Y=3)[/tex]
Recall that:
[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]
Substitute [tex]c = \frac{1}{15}[/tex]
[tex]P_y(y) =\frac{1}{15}y[/tex]
So:
[tex]P(Y \le 3) = P(Y=1) + P(y=2) + P(Y=3)[/tex]
[tex]P(Y\le 3) = \frac{1}{15} * 1 +\frac{1}{15} * 2 +\frac{1}{15} * 3[/tex]
[tex]P(Y\le 3) = \frac{1}{15} +\frac{2}{15} +\frac{3}{15}[/tex]
Take LCM
[tex]P(Y\le 3) = \frac{1+2+3}{15}[/tex]
[tex]P(Y\le 3) = \frac{6}{15}[/tex]
[tex]P(Y\le 3) = 0.4[/tex]
Express as percentage
[tex]P(Y\le 3) = 0.4*100\%[/tex]
[tex]P(Y\le 3) = 40\%[/tex]
(c) The proportions of applications that requires between 2 and 4 forms (inclusive)
This implies that: y = 2,3,4
So, we make use of:
[tex]P(2 \le Y \le 4) = P(Y=2) + P(Y=3) + P(Y=4)[/tex]
[tex]P(2 \le Y \le 4) = 2 * \frac{1}{15} + 3 * \frac{1}{15} + 4 * \frac{1}{15}[/tex]
[tex]P(2 \le Y \le 4) = \frac{2}{15} + \frac{3}{15} + \frac{4}{15}[/tex]
Take LCM
[tex]P(2 \le Y \le 4) = \frac{2+3+4}{15}[/tex]
[tex]P(2 \le Y \le 4) = \frac{9}{15}[/tex]
[tex]P(2 \le Y \le 4) = 0.6[/tex]
Express as percentage
[tex]P(2 \le Y \le 4) = 0.6 * 100\%[/tex]
[tex]P(2 \le Y \le 4) = 60\%[/tex]
Ryan bought a sofa on sale for $342. This price was 28% less than the original price.
What was the original price?
need it asap!! round to nearest 100th
Sorry i can't help you with this one
Answer:
AB = 5.52
Step-by-step explanation:
sin 65° = 5/c
5/sin 65° = c
c = 5.52
What is the area of the triangle below?
4
18
A. 72 sq. units
B. 16 sq. units
C. 36 sq. units
D. 32 sq. units
Answer:
it is a
Step-by-step explanation:
its 72 sq. units igdoug
The area of the triangle is 36 square units, option C is correct.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We have to find the area of triangle whose base is 4 units and height is 18 units
Area of triangle = 1/2 base ×height
Plug in the values of base and height in the above formula
=1/2×4×18
Divide numerator and denominator by 2
=36 square units
Hence, the area of the triangle is 36 square units, option C is correct.
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PLEASE HELP!!!!
use Euler's formula to find the missing number
faces: 25
verticies: 17
edges: ?
answer choice-
a. 43
b. 41
c. 39
d. 40
Answer:
d. 40
Step-by-step explanation:
The number of faces, edges and vertices is related by the following formula:
[tex]V - E + F = 2[/tex]
In which V is the number of vertices, E is the number of edges and F is the number of faces.
In this question:
[tex]F = 25, V = 17[/tex]
We want to find E. So
[tex]V - E + F = 2[/tex]
[tex]17 - E + 25 = 2[/tex]
[tex]E = 42 - 2 = 40[/tex]
The correct answer is given by option D.
Write in slope form : -5x+15y=-30
Answer:
hope this helps
Step-by-step explanation:
y=1/3x-2 is the slope form of -5x+15y=-30.
What is straight line?a line is an infinitely long object with no width, depth, or curvature.
The given equation is -5x+15y=-30
minus five x plus fifteen y equal to minus thirty.
The standard form or slope form of a line is
y=mx+c
Where m is the slope and c is y intercept.
We need to convert -5x+15y=-30 to standard form or slope intercept form of a line.
-5x+15y=-30
15y=-30+5x
15y=5x-30
Divide both sides by 15
y=5/15 x-30/15
y=1/3x-2
Hence y=1/3x-2 is the slope form of -5x+15y=-30.
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Find the value of x and AB if ST is a segment bisector of AB.
For the right triangles below, find the exact values of the side lengths and .
If necessary, write your responses in simplified radical form.
Answer:
[tex]c=\frac{2\sqrt{3}}{3}[/tex]
h=[tex]3\sqrt{2}[/tex]
Step-by-step explanation:
Please see the attached image. It is a good idea it to memorize these triangle properties because you will definitely use them in the future.
c=[tex]\frac{2}{\sqrt{3} } =\frac{2*\sqrt{3} }{\sqrt{3} *\sqrt{3} } =\frac{2\sqrt{3}}{3}[/tex]
h=[tex]3\sqrt{2}[/tex]
I NEED A REAL ANSWER PLEASE!
Find a polynomial that had a leading coefficient of 4 and has the given degree and zeros.
Degree 3 with 2, 1/2, and 3/2 as zeros
[tex] ?x^{3} + {?}x^{2} + ?x + ?[/tex]
Answer:
4x^3-6x^2-6x+9
Step-by-step explanation:
I would write out the solutions as expressions and expand them:
(x-2)(x-1/2)(x-3/2)
(x^2-1/2x-2x+1)(x-3/2)
(x^2-5/2x+1)(x-3/2)
x^3-(3/2)x^2-(5/2)x+15/4+x-3/2
x^3-(3/2)x^2-(3/2)x+9/4
Next, since the leading coefficient has to be 4x^3, I could just multiply the entire expression by 4:
4x^3-(12/2)x^2-(12/2)x+36/4
4x^3-6x^2-6x+9
Hopefully, this was helpful! Comment below if you would like me to explain further!
giving brainliest!!!!
Answer:
1209 square meters
Step-by-step explanation:
2(1/2*16*15)+3(17*19)=1209
Multiply. Express your answer in simplest form.
11 × 4
47
44
47
44
Answer:
44
Step-by-step explanation:
because 11x4 is 44...
What is m∠XYQ? A line segment QY intersects another line segment XZ at the point Y to form the angles XYQ and QYZ measuring (10a+2) degrees and (5a-2) degrees respectively. m∠XYQ =
Answer:
Determine the measure, in degrees, ... Score 2: The student had a complete and correct response. ... a conceptual error and did not find the measure of the smallest angle. ... y x is ΔA B C . State and label the coordinates of ΔA B C . [The use of ... Score 1: The student stated and labeled two points correctly.
Step-by-step explanation:
You need 3/4 cup of yogurt for one smoothie. Which picture shows how many cups of yogurt you nor 3 smoothies?
Answer:
9/4 = 2 1/4
Step-by-step explanation:
According to the information shown in this word problem, you need 3/4 of a cup of yogurt for one smoothie. In order to find out how many cups of yogurt you would need for three smoothies, you would need to multiply 3/4 by three.
Like this,
3/4 x 3 = 9/4
9/4 = 2 1/4 (simplified)
The area of a rectangular picture frame is 93.5 square inches. The area formula for a rectangle is A=l⋅w. Write and solve an equation to find the width, w, of the picture frame.
Answer:
W=A/L
Step-by-step explanation:
If the area of the rectangle is L*W, you can just rearrange the equation A=L*W to get W=A/L, an equivalent equation.
A number cube with faces labeled from 1 to 6 will be rolled once.
The number rolled will be recorded as the outcome.
Give the sample space describing all possible outcomes.
Then give all of the outcomes for the event of rolling a number greater than .
If there is more than one element in the set, separate them with commas.
Question:
A number cube with faces labeled from 1 to 6 will be rolled once. The number rolled will be recorded as the outcome.
Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of rolling a number greater than 2.
If there is more than one element in the set, separate them with commas.
Answer:
[tex]S = \{1,2,3,4,5,6\}[/tex]
[tex]Greater2 = \{3,4,5,6\}[/tex]
Step-by-step explanation:
Given
A roll of a 6 sided number cube
Solving (a): The sample space
This implies that we list out all number on the number cube.
So:
[tex]S = \{1,2,3,4,5,6\}[/tex]
Solving (b): Outcomes greater than 2
This implies that we list out all number on the number cube greater than 2 i.e. 3 to 6.
So:
[tex]Greater2 = \{3,4,5,6\}[/tex]
Evaluate 4x3 + 4x when x = 3.
Answer:
24
Step-by-step explanation:
12 + 4(3)
24
Answer:
[tex]4 \times {3}^{3} + 4 \times 3 \\ 108 + 12 \\ = 120[/tex]
A CD cost a music store $5.75 to make. If the markup is 125%, what is going to be the cost of the CD in the store?
Answer:
12.94
Step-by-step explanation:
5.75x125%=7.19
7.19+5.75=12.94
You deposited $10.00 in your bank at 8% for a period of 6 years. What will be your total amount at the bank according to: a) simple interest, b) compound interest?
Answer:
Simple=$14.80 Compound=$16.14
Step-by-step explanation:
Simple=A=P(1+rt)
10.00(1+0.08×6)
Compound-A=P(1+r/n)^nt
10.00(1+0.08/6)^12*6
Make a scatter plot of the data below.
Speed (mph)
Stopping distance (ft)
10
12.5
20
36.0
30
69.5
40
114.0
50
169.5
60
249.0
70
325.5
Use the quadratic regression feature of a graphing calculator to find a quadratic model. Round to the nearest hundredths place.
a.
y = 0.06 x squared + 0.31 x + 4
b.
y = negative 4.03 x squared + 0.32 x + 8.19
c.
y = 0.06 x squared minus 0.31 x minus 4
d.
y = 4.03 x squared minus 0.32 x minus 8.19
Answer:
c
Step-by-step explanation:
By using the quadratic regression feature of a graphing calculator a quadratic model would be [tex]y = 0.06 x^2 + 0.31 x + 4[/tex]
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Speed (mph) Stopping distance (ft)
10 12.5
20 36.0
30 69.5
40 114.0
50 169.5
60 249.0
70 325.5
Use the quadratic regression feature of a graphing calculator to find a quadratic model.
From the above data, we get
[tex]y = 0.06 x^2 + 0.31 x + 4[/tex]
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The data below represents the ages of the first 10 people in line at the movie theater 24 28 26 24 28 30 26 24 27 23 which line plot represents the data
Answer:
obj
Step-by-step explanation:
What is the value of the expression 3^2(2^3+4)/2^2?
Answer:
27
Step-by-step explanation:
Mary was looking at a map with the following scale indicator:
inch 5 miles
Mary measured 2 inches between two towns on the map. What is the distance between the two townsply
The hair on a person's head grows about 1.27 centimeters each month. Max's hair is 7.62 centimeters long today. How
long will his hair be in 3 months if he lets it grow?
45.72 cm
11.43 cm
29.03 cm
3.81 cm
Answer:
the answer is 11.43 cm
Step-by-step explanation:
1.27×3=3.81
3.81+7.62=11.43
I need help plz WILL GIVE BRAINLIEST
Answer: 7 miles
Step-by-step explanation:
The points for Tom's house (4, 2) and the store (-3, 2) are on the same level; they are on the same horizontal line 2 units above the x-axis.
The distance between the points is therefor the difference between the x coordinates.
4 - (-3) = 7
You can also just count the spaces between the points!
If a ball is dropped on the ground from a height of h meters, then the ball reaches the ground with the velocity 4.43h m/sec.
Find the velocity with which a ball reaches the ground when it is dropped from a height of 32 m.
Answer:
v = 141.76 m/s
Step-by-step explanation:
Given that,
The ball reaches the ground with a velocity of 4.43h m/sec.
We need to find the velocity of the ball at a height of 32 m.
Since, v = 4.43h
Put h = 32 m in the above expression.
v = 4.43(32)
v = 141.76 m/s
So, the velocity of the ball is equal to 141.76 m/s.
PLEASE HELP NOW!!!
fill in "always", "sometimes", or "never" to make a correct statement.
if you add a multiple of 4 and a multiple of 7, the sum is ____ a multiple of 7
9514 1404 393
Answer:
sometimes
Step-by-step explanation:
4 + 7 = 11 . . . not a multiple of 7
28 + 7 = 35 . . . a multiple of 7
If you add a multiple of 4 and a multiple of 7, the sum is sometimes a multiple of 7.
__
It will be a multiple of 7 when the multiple of 4 used is a multiple of 7, such as 4×7 or 4×14 or 4×21, for example.
HELO PLEASE ILL DO ANYTHING ITS DUE
Answer:
send money and i gotchu
Step-by-step explanation:
A bag contains 10 blue counting chips and 10 red counting chips. What is the probability that, without looking, Miguel will pick a blue chip first, which he will keep, and on his second draw Miguel will select a red chip?
1/10
11/21
5/38
5/19
Answer: 5/19
Step-by-step explanation:
(probability of blue chip)/(total chips) x (probability of red chip)/(new total chips)
10/20 x 10/19 = 100/380
simplify: 5/19
Area of a semicircle is 308cm. Find the perimeter
Answer:
72 cm
Step-by-step explanation:
Find the radius using the given information
308=1/2(πr^2)
r^2=616/π
r=14
The perimeter is πr + 2r so plug in 14
π(14) + 2(14)
43.96+28=71.96
Help pls I need it someone
Answer:
search up demos graphing calculator and plug in the numbers there.
Step-by-step explanation:
its super easy to use try it :)