Answer:
choose 1 ball from a bag with 1 red ball and 4 white balls
Step-by-step explanation:
Write a quadratic function h whose zeros are 1 and 4
Answer:
x² - 5x + 4
Step-by-step explanation:
work backwards from knowing zeros to writing factors, then use foil method
(x - 1)(x - 4)
x² - 4x - 1x + 4
x² - 5x + 4
In a grocery store, a $12 case of soda is labeled, "Get a 20% discount." What is the discount? What is the sale price of the case of soda?
The table below shows the relationship between C, the cost in dollars of a piece of gold, and W, its weight in ounces.
Cost of Gold Based on Weight
Cost (C ) in
Dollars Weight (W ) in
Ounces
7,200 12
13,200 22
19,200 32
Which equation could be used to determine the cost of a piece of gold of any weight?
(any links, or incorrect answers will be reported and banned)
Answer:
Solution given:
12 Ouches =$7200
per Ouches =$7200/6=$600
So
the required equation for the cost of any weight of gold is:
C.
600W=C is a required equation.
Answer:
600W=C
Step-by-step explanation:
.......................
A polynomial function has a root of -3 with multiplicity 2, a root of 0 with multiplicity 1, a root of 1 with multiplicity 1, and a root of 3 with multiplicity 2. If the function has a positive leading coefficient and is of even degree, which could be the graph of the function?
Answer:
see uploaded image
Step-by-step explanation: 5 30 10 04
x(x+3)²(x-1)(x-3)²
I attached my guess, since I don't see any graphs.
NOTE the x axis scale change on my submission.
Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.
What is a polynomial function?A polynomial is an equation with many terms whose leading term is the highest exponent known as a degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.
This polynomial has roots -3, 0, 1, and 3. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or if the simple touch it and bounces back? The even or odd multiplicity - how many times the root occurs.
In this polynomial:
Root -3 has an even multiplicity of 2 so it only touches and does not cross through.
Root 0 has an odd multiplicity of 1 so crosses through.
Root 1 has an odd multiplicity of 1 so crosses through.
Root 3 has an even multiplicity of 3 so it only touches and does not cross through.
Knowing this, only the first and second graphs are possible answers.
Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends and points down. All even degree graphs will have this shape.
Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.
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If p = -6, what does p + 4 equal?
Answer:
-2.
Step-by-step explanation:
p + 4 with p being -6 is basically -6 + 4, which equals -2.
Answer:
-2
Step-by-step explanation:
-6 + 4 = -2
The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 4 inches? (5 points) 6 inches 8 inches 12 inches 20 inches
9514 1404 393
Answer:
12 inches
Step-by-step explanation:
The area is given by the formula ...
A = 1/2bh
Fill in the given values and solve for the height.
24 in² = 1/2(4 in)h
h = (24 in²)/(2 in) = 12 in
The height of the triangle is 12 inches.
Answer:
12 inches
Step-by-step explanation:
Area = [tex]\frac{1}{2}bh[/tex]
24 = [tex]\frac{1}{2} * 4 * h[/tex]
24 = 2h
h = 12 inches
A marketing research company desires to know the mean consumption of milk per week among people over age 31. A sample of 343 people over age 31 was drawn and the mean milk consumption was 4.4 liters. Assume that the population standard deviation is known to be 0.9 liters. Construct the 90% confidence interval for the mean consumption of milk among people over age 31. Round your answers to one decimal place.
Answer:
(4.3 ; 4.5)
Step-by-step explanation:
Given :
Sample size, n = 343
Sample Mean, xbar = 4.4
Standard deviation, σ = 0.9
Zcritical at 90%
Using the relation :
Xbar ± Margin of error
Margin of Error = Zcritical * σ/√n
Margin of Error = 1.645 * (0.9/√343)
Margin of Error = 0.0799394
Lower boundary = 4.4 - 0.0799394 = 4.320
Upper boundary = 4.4 + 0.0799394 = 4.480
(4.320 ; 4.480)
Logan is birdwatching at the coast. He records each bird he sees. herons 2 egrets 7 vultures 2 gulls 3 Considering this data, how many of the next 20 birds Logan sees would you expect to be egrets?
Answer: 10
Step-by-step explanation: First, write the experimental probability as a fraction in simplest form.
P(egret)
=
egrets
total
=
7
2+7+2+3
=
7
14
=
1
2
The experimental probability is
1
2
.
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
1
2
=
n
20
1
2
(220)
=
n
20
(220) Multiply both sides by (220)
120
= 2n Simplify
20
= 2n Simplify
10
= n Divide both sides by 2
You would expect to see 10 egrets out of the next 20 birds.
The solution is, : 10 out of the next 20 birds Logan sees would you expect to be egrets.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
First, write the experimental probability as a fraction in simplest form.
P(egret)=egrets
total
=7
2+7+2+3=
7/14=1/2
The experimental probability is
1/2
We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.
1/2=n20
1/2
(220)=n20
(220) Multiply both sides by (220)
120 = 2n Simplify
20 = 2n Simplify
10 = n [Divide both sides by 2]
You would expect to see 10 egrets out of the next 20 birds.
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38°
24 in
A restaurant owner plans to install this bicycle rack in front of her restaurant. In order to meet city safety requirements, the base
of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians. Will this bicycle rack be approved by the city?
Answer:
39
Step-by-step explanation:
Yes, the base of the bicycle rack measures about 15 inches.
Whta is the sin angle?The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.
A restaurant owner plans to install this bicycle rack in front of her restaurant.
In order to meet city safety requirements, the base of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians.
The base of the bicycle is ;
In the right angle triangle;
[tex]\rm = sin38 \times 24\\\\ =0.61 \times 24\\\\=14.77[/tex]
Yes, the base of the bicycle rack measures about 15 inches.
Hence, Yes, the base of the bicycle rack measures about 15 inches.
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Help I need fast school is almost out ill give brainliest
Answer:
11
Step-by-step explanation:
a^2 + 3b / c - 2d
put the numbers in the equation
3^2 + 3 x 8 / 2 - 2 x 5
pedmas
3^2 would be first, then 3 x 8, then that answer divided by 2, then 2 x5
9 + 12 - 10
left to right
9 + 12 = 21
21 - 10 = 11
Answer:
the correct answer is 11
+ (3x8)/2 - (2x5)
9+ - 10
9+12-10=11
Step-by-step explanation:
What is the value of z?
No links please!!
9514 1404 393
Answer:
z = 14.4
Step-by-step explanation:
The angle bisector divides the sides proportionally.
z/12 = 6/5 . . . . . . . . . write a proportion*
z = 12(6/5) = 72/5 . . . . . multiply by 12
z = 14.4
_____
* We consider the proportion easier to solve if the unknown is in the numerator. Then the solution is found by multiplying the equation by that denominator.
HELLO CAN SOMEONE HELP ME PLOT THIS POINT? TY :)
It would be at (7,5)
How does the graph of the function g(x)=2^x-4 differ from the graph of f(x)=2^x
Answer:
The graph of g(x) is the graph of f(x) moved down 4 units.
Step-by-step explanation:
Subtracting a function by a constant:
Subtracting a function by a constant x is the same as moving the function down x units.
In this question:
[tex]f(x) = 2^x[/tex]
[tex]g(x) = 2^x - 4[/tex]
Thus, the graph of g(x) is the graph of f(x) moved down 4 units.
PLEASE IM BEGGING!!!
The questions is: Find the perimeter and the Area of a Trapezoid
Answer:
Step-by-step explanation:
P = 65.4
not sure about area Sorry
Laura is bowling 5 games. Her first 4 scores were 103, 143, 101, and 110.
To end up with an average score of at least 126.8, what is the lowest score Laura will need in the fifth
game?
Answer:
The least 5th score is 177
Step-by-step explanation:
Given
[tex]First\ 4: 103, 143, 101, 110.[/tex]
[tex]Average = 126.8[/tex]
Required
The least 5th score
Represent the 5th score with x.
The average is calculated as:
[tex]Average = \frac{\sum x}{n}[/tex]
So, we have:
[tex]126.8 = \frac{103 + 143 + 101 + 110 + x}{5}[/tex]
[tex]126.8 = \frac{457 + x}{5}[/tex]
Multiply both sides by 5
[tex]634= 457 + x[/tex]
Solve for x
[tex]x = 634- 457[/tex]
[tex]x = 177[/tex]
A young entrepreneur wants to set up a lemonade stand at a busy intersection. Customers arrive at a rate of 38 customers per hour according to a Poisson distribution. Customers will be served at the average rate of 58 customers per hour with exponential service times. What is the average utilization rate (%) of the entrepreneur
Answer:
65.5%
Step-by-step explanation:
Arrival rate, λ = average number of customers per hour = 38
Servive rate, μ = number of customers attended to per hour = 58
Utilization factor, ρ = λ / μ
ρ = 38 / 58
ρ = 0.6551724
Utilization rate (%) = 0.6551724 * 100% = 65.5%
the length of a rectangle is four times it's width.if the perimeter is 70cm. Calculate the length and area of the rectangle
Answer:
length=28 cm
the area = 196 cm²
Step-by-step explanation:
length = 4 × width
2×(4w+w) = 70
2×5w=70
10w=70
w= 7 cm
length = 4×7 = 28 cm
the area = 28 ×7 = 196 cm²
Please help me fast i need help
Answer:
minimum- 19
first quartile - 26.5
median - 29
third quartile - 31
maximum - 40
Step-by-step explanation:
HELLLP PLZZZZ , i need to anwer this quastion is a major grade :((
Answer:
I think it might be C but I dont know . Hope its right !
Step-by-step explanation:
Solve the simultaneous equation
2x-3y =8 x+3y=14
Use elimination method....
Answer:
x = 22/3 y = 20/9
Step-by-step explanation:
2x-3y =8 x+3y=14
Add the two equations together to eliminate y
2x-3y =8
x+3y=14
-------------
3x +0y = 22
Divide each side by 3
3x/3 = 22/3
x = 22/3
Then take the second equation and multiply by -2 and add to eliminate x
2x-3y =8
-2x-6y=-28
----------------------
-9y = -20
Divide by -9
-9y/-9 = -20/-9
y = 20/9
x = 22/3 y = 20/9
HELP !!!!!!!!!!!!!!!!!!!!!!!
Answer:
25[tex]\pi[/tex] Or 78.5 units³
Step-by-step explanation:
1/3πr²h
1/3xπx25x3=25π or 78.5
Find the volume of the Cone.
____________________Solution :-Given Information :- Radius of the Base of Cone = 5 unitsRadius² = 5² = 25 unitsAltitude = 3 units Value of π = 3.14To Find :- Volume of Cone. Formula Used :- Volume of Cone = [tex] \sf \frac{1}{3} \pi {r}^{2} h [/tex] Calculation :-We will substitute the given values in the formula,
⇒ Volume of Cone = [tex] \sf \frac{1}{3} \pi {r}^{2} h [/tex]
Substituting the values, We get,
⇒ Volume of Cone = [tex] \sf \frac{1}{3} \times 3.14\times 25 \times 3 [/tex]
On further calculating, We get,
∴ Volume of Cone = [tex] \sf 78.5 units³ [/tex]
____________________Final Answer :-Volume of Cone = [tex] \bf 78.5 units³ [/tex]
____________________Solve for x 8-2x = 5( x4)
What is the area of the figure? A 80 square inches 88 square inches C. 96 square inches D. 120 square inches
Answer:
88
Step-by-step explanation:
how many 5- digit numbers are there in all the number system
Answer:
The smallest 5 digit number is 10,000 and the greatest 5 digit number is 99,999. There are 90,000 five-digit numbers in all.
Mi mamá Rosa Amelia, asistió al Hospital cercano a su casa, luego de hacer atendida, el medico tratante le dio tres tipos de pastillas que tomar;la pastilla rojas cada 12 horas, la pastilla amarilla 8 horas y la pastilla blanca cada 7 horas. Si empieza a tomarse la pastilla en el día de hoy a las 12:00 del mediodía Cuándo volverá a tomarse cada pastilla otra vez?
Answer:
La próxima pastilla roja será a las 12:00 a.m.
La próxima pastilla amarilla será a las 8:00 p.m.
La próxima pastilla blanca será a las 7:00 p.m.
Give the most precise selection
for the quadrilateral with the
following vertices.
P(0,0), Q(2a, 2b), R(20,2b), S(20,0)
Answer:
I think square
Cause it is having 4 sides and in ur question the were 4 vertuces so i think its a square
Answer:
I think A
a parrallelogram
How many proper subsets does the set T = {i, c, j, e} have?
I NEED HELP ASAP!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
You are given the linear regression equation as y = -.36x + 12.6, where y is the wind chill and x is the wind speed. We are being asked for the wind chill when the wind speed is 22; therefore, we are being asked to plug in 22 for x and solve for y:
y = -.36(22) + 12.6 and
y = -7.92 + 12.6 so
y = 4.68F
Please look at the image
Answer: ok i did :)
Step-by-step explanation: how are you?
I really need help please!!