Answer:
128 miles.
Step-by-step explanation:
The police car is driving at a constant speed of 64 mph so you simply have to multiply the rate by the time to get the distance.
64 * 2 = 128 miles
Hope this helps!
Joey intends to roll a six-sided number cube 100 times. What probability model can he use to predict whether or not each roll will give a result that is divisible by 3?
Options :
A. Each roll has a 0.117 probability of being divisible by 3.
B. Each roll has a 0.333 probability of being divisible by 3.
C. Each roll has a 0.5 probability of being divisible by 3. D. Each roll has a 0.667 probability of being divisible by 3.
Answer: B. Each roll has a 0.333 probability of being divisible by 3.
Step-by-step explanation:
Sample space for a six-sided number cube :
1, 2, 3, 4, 5, 6
Number of outcomes divisible by 3:
(3, 6) = 2
Probability of an event = Number of required outcomes / total number of possible items
Probability (getting a number divisible by 3):
(Number of outcomes divisible by 3 / total outcomes in sample space)
Probability (getting a number divisible by 3):
2 / 6 = 1/3
= 0.333
Can the two triangles be proven congruent by SAS? Explain.
A) No, there's only one pair of congruent angles, ∠B ≅ ∠D, and one pair of congruent sides, ≅ .
B) No, because the two triangles share a side.
C) Yes, because ≅ , ∠B ≅ ∠D, and and are parallel.
D) Yes, because ≅ , ∠B ≅ ∠D, and and are parallel
Answer:
The correct option is;
Yes because AC ≅ AC, ∠B ≅ ∠D, and AD and BC are parallel.
Step-by-step explanation:
Based on the the given information
The number of congruent sides = One which is AC is congruent to AC which is the reflexive property
The number of given congruent angles = One which is angle ∠ABC is congruent to ∠ADC
However, where angle ∠ABC is congruent to ∠ADC, we have AD is parallel to BC, therefore, ∠BAC is congruent to ∠DCB, and BA is parallel to CD, therefore AD is congruent to BC and DC is congruent to AB
Therefore the correct option is yes because AC ≅ AC, ∠B ≅ ∠D, and AD and BC are parallel.
Nancy needs at least 1000 gigabytes of storage to take pictures and videos on her upcoming vacation. She
checks and finds that she has 105 GB available on her phone. She plans on buying additional memory
cards to get the rest of the storage she needs.
The cheapest memory cards she can find each hold 256 GB and cost $10. She wants spend as little money
as possible and still get the storage she needs.
Let C represent the number of memory cards that Nancy buys.
Answer:
C = 4 memory cards.
Step-by-step explanation:
256 × 4 = 1024
1024 + 105 = 1129 GB
She needs 4 memory cards.
Nancy needs to buy 4 memory cards.
Given that Nancy needs at least 1000 gigabytes of storage to take pictures and videos on her upcoming vacation, and she checks and finds that she has 105 GB available on her phone, and she plans on buying additional memory cards to get the rest of the storage she needs, and the cheapest memory cards she can find each hold 256 GB and cost $ 10, and she wants to spend as little money as possible and still get the storage she needs, to determine how many memory cards to buy, the following calculation must be performed:
(1000 - 105) / 256 = C 895/256 = C 3.49 = C
So if Nancy buys 3 cards she will still be short on gigabytes. Therefore, she must buy 4 memory cards.
Learn more in https://brainly.com/question/9154717
the slope of a line parallel to the given line 8x-2y=5
Answer:
4x
Step-by-step explanation:
8x-2y=5
8x=2y+5
8x-5=2y
4x-5/2=y
The slope of the parallel line would be 4x because the slope doesn't change. Hope this helps.
The sums of which two pairs from the table will give you the same result? For example, A + B = C + D.
Answer:
D + E = F + H
Step-by-step explanation:
We have to identify the two pairs from the give table which have the same result.
These pairs show the relation as A + B = C + D
We take a pair of expressions given in options (D) and (E)
By adding them,
D + E = (-4 + 9i) + (6 - 6i)
= 2 + 3i
Similarly we add the expressions given in options (F) and (H),
F + H = (-9 + 15i) + (11 - 12i)
= 2 + 3i
Therefore, D + E = F + H will be the answer.
Tim has an after-school delivery service that he
provides for several small retailers in town. He
uses his bicycle and charges $1.25 for a delivery
made within 1 mi, $1.70 for a delivery of at
least 1 mi but less than 1 mi, $2.15 for a
delivery of at least 1. mi but less than 2 miles,
and so on. If Tim raised his rates by 10%, what
would he be paid to deliver a package 35
miles?
Answer:
Step-by-step explanation:
tim has an after school delivery service that he provides for several small retailers in town. he uses his bicycle and charges $1.25 for a delivery made within 1 1/2 miles, $1.70 for a delivery of at least 1 1/2 miles but less than 1 3/4 miles. $2.15 for a delivery of at least 1 3/4 miles but less than 2 miles, and so on. if tim raised his rates by 10%, what would he be paid to deliver a package 3 1/8 miles.
Answer:
From the question asked the cost of additional 1/4 mile (1 3/4 - 1 1/2) is $0.45 ($1.7 - $1.25). If the rate is increased by 10% (0.1), the new price for an additional 1/4 mile would be 1.1 (1 + 0.1) × 0.45 = $0.495.
Tim new charge rate are as follows:
$1.25 for a delivery made within 1 1/2 miles
$1.745 for a delivery of at least 1 1/2 miles but less than 1 3/4
$2.24 or a delivery of at least 1 3/4 miles but less than 2
$2.735 or a delivery of at least 2 miles but less than 2 1/4
$3.23 or a delivery of at least 2 1/4 miles but less than 2 1/2
$3.725 or a delivery of at least 2 1/2 miles but less than 2 3/4
$4.22 or a delivery of at least 2 3/4 miles but less than 3
$4.715 or a delivery of at least 3 miles but less than 3 1/4
Since 3 1/8 is within 3 miles and 3 1/4 miles, Tim would charge $4.715 to deliver a package 3 1/8 miles.
Find the probability of drawing 3 Aces at random from a deck of 52 ordinary playing cards if the cards are:_________
A) Replaced
B) Not Replaced
Answer:
a. With replacement
1/2197
b. Without replacement
1/5,525
Step-by-step explanation:
Okay, here is a probability question.
The key to answering this question is by knowing the number of aces in a deck of cards.
There is 1 ace per suit, so there is a total of 4 aces per deck of cards.
So, mathematically the probability of picking an ace would be;
number of aces/ total number of cards = 4/52 = 1/13
a. Now since the action is with replacement; that means that at any point in time, the total number of cards would always remain 52 even after making our picks.
So the probability of picking three aces with replacement would be;
1/13 * 1/13 * 1/13 = 1/2197
b. Without replacement
what this action means is that after picking a particular card, we do not return the picked card to the deck of cards.
For the first card picked, we will be having a total of 4 aces and 52 total cards.
So the probability of picking an ace would be 4/52 = 1/13
For the second card picked, we shall be left with selecting an ace out of the remaining 3 aces and the total remaining 51 cards
So the probability will be 3/51 = 1/17
For the third and last card to be picked, we shall be left with picking 1 out of the remaining 2 aces cards and out of the 50 cards left in the deck.
So the probability now becomes 2/50 = 1/25
Thus, the combined probability of picking 3 aces cards without replacement from a deck of cards will be;
1/13 * 1/17 * 1/25 = 1/5,525
Using the binomial and the hypergeometric distribution, it is found that the probabilities are:
a) 0.0005 = 0.05%.
b) 0.0002 = 0.02%.
Item a:
With replacement, hence the trials are independent, and the binomial distribution is used.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.For this problem:
In a deck, there are 52 cards, of which 4 are Aces, hence [tex]p = \frac{4}{52} = 0.0769[/tex]3 cards are drawn, hence [tex]n = 3[/tex].The probability is P(X = 3), then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.0769)^{3}.(0.9231)^{0} = 0.0005[/tex]
0.0005 = 0.05% probability.
Item b:
Without replacement, hence the trials are not independent and the hypergeometric distribution is used.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
Deck of 52 cards, hence [tex]N = 52[/tex].4 of the cards are Aces, hence [tex]k = 4[/tex].3 cards are drawn, hence [tex]n = 3[/tex].The probability is also P(X = 3), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,52,3,4) = \frac{C_{4,3}C_{48,0}}{C_{52,3}} = 0.0002[/tex]
0.0002 = 0.02% probability.
To learn more about the binomial and the hypergeometric distribution, you can take a look at https://brainly.com/question/25783392
Evaluate f(x) = 2|x – 5| for f(–5) and f(0).
Question 20 options:
f(–5) = –20, f(0) = –2
f(–5) = 20, f(0) = 10
f(–5) = 10, f(0) = 0
f(–5) = 12, f(0) = 5
Answer:
[tex]\Large \boxed{\mathrm{f(-5) = 20, \ f(0) = 10}}[/tex]
Step-by-step explanation:
The function is given:
f(x) = 2|x - 5|
Solve for f(-5).
x = -5
f(-5) = 2|-5 - 5|
f(-5) = 2|-10|
f(-5) = 2(10) = 20
Solve for f(0).
x = 0
f(-5) = 2|0 - 5|
f(-5) = 2|-5|
f(-5) = 2(5) = 10
jacob received $500 for christmas from his parents, he wants to put it into an account that will pay him 7.75% interest each year. if he wants to withdraw all his funds at the end of the year. how much will he withdraw
Answer:
He will have $538.75 after one year.
Step-by-step explanation:
First we need to find how much is 7.75% of 500. We can find it by multiplying 500 x .0775
This equals 38.75
That means after one year, he has $38.75 more.
500+38.75=538.75
He will have $538.75 after one year.
I need help and I will give five stars and a big thank you comrades
Answer:
A.
Step-by-step explanation:
A way to find the equation of the graph is to find the solutions.
On the graph, the solutions are where the function intersects the x-axis. That would be where x = -2, x = 1, and x = 3.
In the equations, you will need to find factors when the x is inputted, the factor equals 0. For example, one of the factors is (x + 2). This is because x + 2 = 0, so x = 0 - 2, so x = -2. So, the three factors are (x + 2), (x - 1), and (x - 3).
The correct equation is A.
Hope this helps!
Solve the equation for X (If possible please show work)
Answer:
the correct answer is x=5
How can you change a rational number to a decimal? Can you give an exsample?
Answer:
1/2=0.5
Step-by-step explanation:
¼=0.25
¾=0.75
Need help please asap this is not asap but please still give an answer im stuck
Answer:
135 cubes
Step-by-step explanation:
First, find the volume of the box with the equation V = Bh, where B is the area of the base and h is the height.
V = (2.25)(0.75)(1.25)
V = 2.109375
Next, find the volume of one cube with the side length 1/4 with V = Bh:
V = (0.25)(0.25)(0.25)
V = 0.015625
Then, divide the volume of the box by the volume of one cube:
2.109375 / 0.015625
= 135
find six rational numbers between 3 and 4
Answer:
3.1
3.2
3.3
3.4
3.5
3.6
Hope this answer correct :)
Victor fue al mercado para comprar manzanas, naranjas y platanos; las naranjas costaron el doble de lo 1ue pago por las manzanas y los platanos costaron 8 pesos menos que pas manzanas, en total gasto 100 pesos. Determina el precio de las manzanas, naranjas y platanos
Answer:
El precio de las manzanas = 27 pesos
El precio de las naranjas = 54 pesos
El precio de las bananas = 19 pesos
Step-by-step explanation:
Los parámetros dados son;
El monto total gastado = 100 pesos
Sea el precio de las naranjas = x
Sea el precio de las manzanas = y
Sea el precio de los plátanos = z
La cantidad pagada por las naranjas = 2 · y = x
La cantidad pagada por los plátanos = y - 8 = z
Por lo tanto, tenemos;
La cantidad total gastada = La cantidad pagada por las naranjas + La cantidad pagada por las bananas + La cantidad pagada por las manzanas
∴ El monto total gastado = 100 pesos = 2 · y + y - 8 + y
100 = 4 · años - 8
4 · y = 100 + 8 = 108
y = 108/4 = 27
y = 27
De
z = y - 8 tenemos;
z = 27 - 8 = 19
De 2 · y = x, tenemos;
2 × 27 = x
x = 54
Por lo tanto;
El precio de las naranjas = 54 pesos
El precio de las manzanas = 27 pesos
El precio de los plátanos = 19 pesos.
Can someone please help!! ****This problem is multiple choice!
Answer:
I believe it's A) 302.94
Step-by-step explanation:
There are 360 degrees in a circle. So I enetered 360/112 in a calculator and got 3.214.
Then I multiplied 3.214 by 30pi and got 302.939 AKA 302.94. I did this because I looked at it like a ratio problem but idk if thats correct.
A rectangular prism has a volume of 864 cubic units. How many cubic unit will fill the volume of the solid if they were packed without any gaps or overlaps
Answer: 864.
Step-by-step explanation:
The volume of a rectangular prism has a volume equal to:
V = W*L*H
W = width
L = length
H = height
We know that the volume is equal to 864 cubic units.
This means that if we want to fill the prism such that there is no gap or overlap, we should use exactly 864 unit cubes.
a blue die and a green die are rolled. find the probability that the blue and green are both less than 6
Answer
5/6 maybe
Step-by-step explanation:
what is the answer to 1/8=s-3/4
Answer:
7/8 =s
Step-by-step explanation:
1/8=s-3/4
Add 3/4
1/8 + 3/4 = s -3/4 +3/4
1/8 + 3/4 = s
Get a common denominator
1/8 + 3/4 *2/2 = s
1/8 + 6/8 =s
7/8 =s
1/8 = s - 3/4
1/8 = s -6/8 ( * 2/2)
7/8 = s
s = 7/8
Solve for x in the equation x squared + 11 x + StartFraction 121 Over 4 EndFraction = StartFraction 125 Over 4 EndFraction.
Answer:
Below
Step-by-step explanation:
● x^2 + 11x + 121/4 = 125/4
Substract 125/4 from both sides:
● x^2 + 11x + 121/4-125/4= 125/4 -125/4
● x^2 + 11x - (-4/4) = 0
● x^2 +11x -(-1) = 0
● x^2 + 11 x + 1 = 0
This is a quadratic equation so we will use the determinanant (b^2-4ac)
● a = 1
● b = 11
● c = 1
● b^2-4ac = 11^2-4*1*1 = 117
So this equation has two solutions:
● x = (-b -/+ √(b^2-4ac) ) / 2a
● x = (-11 -/+ √(117) ) / 2
● x = (-11 -/+ 3√(13))/ 2
● x = -0.91 or x = -10.9
Round to the nearest unit
● x = -1 or x = -11
The solutions are { -1,-11}
The solution of the equation x² + 11x + (121/4) = 125/4 will be 0.09 and negative 11.09.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The equation is given below.
x² + 11x + (121/4) = 125/4
Simplify the equation, then the equation will be
4x² + 44x + 121 = 125
4x² + 44x + 121 - 125 = 0
4x² + 44x - 4 = 0
x² + 11x - 1 = 0
We know that the formula, then we have
[tex]\rm x = \dfrac{-b \pm \sqrt {b^2 - 4ac}}{2a}[/tex]
The value of a = 1, b = 11, and c = -1. Then we have
[tex]\rm x = \dfrac{-11 \pm \sqrt {11^2 - 4 \times 1 \times (-1)}}{2 \times 1}\\\rm x = \dfrac{-11 \pm \sqrt {121 +4}}{2 }\\x = \dfrac{-11 \pm \sqrt {125}}{2 }[/tex]
Simplify the equation, then we have
x = (- 11 ± 11.18) / 2
x = (-11 - 11.18) / 2, (-11 + 11.18) / 2
x = -11.09, 0.09
The solution of the equation will be 0.09 and negative 11.09.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ6
acute angle between the hours hand and the minute hand at 1pm
Answer: 30 degrees
Step-by-step explanation:
1 hour = 60 min = 360 degree
1 min = 360/60 degree
1 min = 6 degree
and the gap of hour hand and minute hand at 1pm, is of 5 min
therefore acute angle formed is 5 X 6 = 30 degrees.
:-)
Answer:
30 degrees
Step-by-step explanation:
1 hour = 60 min = 360 degree
1 min = 360/60 degree
1 min = 6 degree
and the gap of hour hand and minute hand at 1pm, is of 5 min
therefore acute angle formed is 5 X 6 = 30 degrees.
which stystem of inequalities is graphed below
Step-by-step explanation:
It's answer D.
THe original plot of x^2 has it top point in the (0,0) so in the centre of the system.
There is a coloured surface just inside the first plot x^2 -4 and also just inside the second one x^2 +6
4 The surface area of a cube with side s is A = 682
Use the formula to find the surface area of a cube with s=4.
Answer:
96
Step-by-step explanation:
SA = 6*s^2
Since s = 4, we need to square it.
4^2 (4 Squared) = 16
Now we need to multiply 16 by 6 since there are 6 sides on a square.
16*6 = 96
So our Answer is 96.
--Variables
SA= Surface Area
s = Side Length or 4
Last year, Marla planted x rows of tomatoes in her garden, and each row has (x + 5) tomatoes. This year she increased the number of rows by 3 and doubled the number of tomatoes in each row. How many more tomatoes did Marla plant this year than last year?
Answer:
8
Step-by-step explanation:
rows=x
each row=(x+5) tomatoes
she increased the number of rows by 3
and doubled the number of tomatoes in each row
3multiplied by x=3x
(2x+10) because she doubled them
3x+10÷2x
=8
I've tried I hope this helps
PLEASE ANSWER QUICKLY ASAP
ANSWER QUESTION A
Answer:
2934.46692
Step-by-step explanation:
if you need to round it,
hundrenths: 2,934.47
tenths: 2,934.5
Thousandths: 2,934.467
Hope this helps!
Question 3 of 10
True or false? In a two-column proof, the right column states your reasons.
A. True
OB. False
SUBMIT
Answer:
A- True
Step-by-step explanation:
If you search a picture of the graph then you will see it as well!!! Hope this helps!!!!
If the lateral surface area of a cube is 100 square inches, what is the length of an edge?
Answer:
Length of an edge=4.0825 inches
Approximately 4.1 inches
Step-by-step explanation:
Lateral surface area of a cube=100 square inches
There are 6 square surfaces on a cube.
6a^2=surface area of a cube
6a^2=100
Divide both sides by 6
a^2=100/6
a^2=16.6667
Find the square root of both sides
√a^2=√16.6667
a=√16.6667
x=4.0825 inches
Length of an edge=4.0825 inches
Answer:
2√5
Step-by-step explanation:
I got it correct on founders edtell
Some time ago , Keith's height and his nephew's height were at a ratio of 15:7. Then, Keiths height increased by 16% and his nephew,s height doubled. Keith is now 34 cm taller than his nephew, what is their total current height
Answer:
The answer is below
Step-by-step explanation:
The ratio of Keith's height and his nephew's height is 15:7. Let keith height be x cm and his nephews height be y cm.
[tex]\frac{x}{y}=\frac{15}{7} \\x=\frac{15}{7}y[/tex]
Keiths height increased by 16% , therefore Keith new height is (100% + 16%) × x = 1.16x
The nephew height is doubled, therefore his new height is 2y.
Given that Keith is now 34 cm taller than his nephew
1.16x = 2y + 34
but x = (15/7)y
[tex]1.16(\frac{15}{7} )y=2y+34\\\\\frac{87}{35} y=2y+34\\\\\frac{87}{35} y-2y=34\\\\\frac{17}{35}y=34\\ \\y=\frac{34*35}{17}\\ \\y=70\ cm[/tex]
The nephews new height = 2y = 2(70) = 140 cm
Keith new height = 2y + 34 = 140 + 34 = 174 cm
Their total current height = 140 cm + 174 cm = 314 cm
PLEASE HELP!!!!!! URGENT!!!!!!!!! ALGEBRA! Hannah, Yu, and Becky went to buy groceries together. All three of them bought pasta, noodles, and split peas. Hannah bought 3 packs of pasta, 10 packs of noodles, and 2 packs of split peas. Yu bought 5 packs of pasta, 12 packs of noodles, and 1 pack of split peas. Becky bought 3 packs of pasta, 15 packs of noodles, and 2 packs of split peas. Hannah, Yu, and Becky spent $8.41, $9.42, and $9.66 respectively on these items. What are the costs of a pack of pasta, a pack of noodles, and a pack of split peas? A) Pasta: $0.69 per pack, Noodles: $0.25 per pack, Split peas: $0.99 per pack B) Pasta: $1.09 per pack, Noodles: $0.20 per pack, Split peas: $1.97 per pack C) Pasta: $0.99 per pack, Noodles: $0.25 per pack, Split peas: $1.47 per pack D) Pasta: $0.69 per pack, Noodles: $0.20 per pack, Split peas: $1.97 per pack
Answer: C
Step-by-step explanation:
The costs of a pack of pasta, a pack of noodles, and a pack of split peas are Pasta: $0.99 per pack, Noodles: $0.25 per pack, Split peas: $1.47 per pack
In a factory, two-thirds of the floor area is taken up by the production line. Out of the remaining floor area, three-fifths is taken up by office space. The rest is warehouse space. The warehouse space 2 occupies 2000 m . Work out the floor area of the production line.
Answer:
the floor area of the production line =20000 m^2
Step-by-step explanation:
From the question we were told two thirds of the floor of the factory is taken up by the production line.
If we denote the total area of the factory as "y" then
the Area of the production line can be express algebraically as
2/3 × y = 2y/3
The rest of floor area of warehouse space will be
y- 2y/3 = y/3
From the rest of floor area, we were told three fifths is taken up by the office space, then this office space's area can be expressed in m^3 as
3/5 × y/3 = y/5
The remaining space left will now be for
warehouse, by we were given warehouse space omas 2000m^2.
Then from here we can get value of y
2y/15 = 2000
2y = (2000×15)
2y= 30000
y= 15000m^2
Therefore, the floor area of the production line can be expressed as
(2 ×30000)/3
= 20000 m^2
Quit easily done!
