Step-by-step explanation:
a) Common Difference = ?
15th term = 110
19th = 134
134 - 110
= 24/4
= 6
Common Difference = 6
b) First term = ?
110 = x+ (14) 6
x = 110 - 84
x = 26
First term = 26
c) 25th term = ?
= x 25 = 26+ (25)6
= x 25 = 176
25th term = 176.
Hope this helps yall! Have an Amazing day!!
All parallelograms have two pairs of opposite sides that are parallel and all squares are parallelograms. Based on this description, which statement is true?
A. All squares have two pairs of opposite sides that are parallel.
B. All squares have two pairs of opposite sides that are perpendicular.
C. All squares have four right angles.
D. All squares have four sides that are the same length.
Suppose a die is tossed 5 times. what is the probability of getting exactly 2 fours?
Answer:
the probability of getting exactly 2 fours is 0.16
Step-by-step explanation:
The probability of obtaining a number that is four = ¹/₆
The probability of obtaining a non 4 number = 1 - ¹/₆ = ⁵/₆
The number of ways 2 fours can be arrange in five numbers = ⁵C₂ = 10 ways
If the die is tossed five times, the probability of the events is calculated as;
P = 10 x (¹/₆)² x (⁵/₆)³
P = 10 x (¹/₃₆) x (¹²⁵/₂₁₆)
P = 10 x 0.02778 x 0.5787
P = 0.16
Therefore, the probability of getting exactly 2 fours is 0.16
The probability of exactly [tex]2[/tex] four's in [tex]5[/tex] tosses is [tex]0.1608[/tex].
Probability:Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are to happen, using it.
Let [tex]X[/tex] be the number of fours in [tex]5[/tex] coin tosses.
We have no. of tosses [tex]n=5[/tex].
Probability of a success i.e., getting four [tex](p)=\frac{1}{6}[/tex] and probability of not getting a four [tex](q)=\frac{5}{6}[/tex].
[tex]X[/tex] follows a binomial distribution. So,
[tex]P(X=x)=\binom{n}{x}p^{x}q^{n-x}[/tex]
[tex]\therefore[/tex] the probability of exactly [tex]2[/tex] four's in [tex]5[/tex] tosses is given by,
[tex]P(X=2)=\binom{5}{2}\left ( \frac{1}{6}^{2} \right )\left ( \frac{5}{6} \right )^{3}[/tex]
[tex]=0.1608[/tex]
Learn more about the topic of Probability: https://brainly.com/question/26959834
A ship has a length of 110 m. A scale model is made of the ship. The model has a length of 2 m. Complete the sentence describing the scale of the model. 1 m represents
Answer:
55m
Step-by-step explanation:
A scale model is a reduced sized of the actual model
If 2m represents 110m, then 1m = 110/2 = 55m
Im just going to keep posting this until someone other than those weird link people answer me
Answer:
Remember that for a triangle rectangle we have the Pythagorean's theorem, it says that the square of the hypotenuse is equal to the sum of the squares of the catheti.
Then if the catheti of a triangle rectangle are A and B, and the hypotenuse is H, we have:
H^2 = A^2 + B^2
In the smaller triangle we can see that:
H = 10
A = 6
Then:
10^2 = 6^2 + B^2
100 = 36 + B^2
100 - 36 = B^2
64 = B^2
√64 = B = 8
And we know that the perimeter of a triangle is equal to the sum of the lengths of it's sides, then the perimeter of the smaller triangle is:
P = 10 + 6 + 8 = 24
Now we know that the triangles are similar and related by a factor of 4/3, then each measurement of the larger triangle will be equivalent to 4/3 times the corresponding measurement of the smaller triangle, then if the measures of the larger triangle are A', B', and H', we can write these as:
A' = (4/3)*A = (4/3)*6 = 8
B' = (4/3)*B = (4/3)*8 = 10.67
H' = (4/3)*H = (4/3)*10 = 13.33
Then the perimeter of the larger triangle is:
P' = 8 + 10.67 + 13.33 = 32
For rectangle ABCD, find m∠ADB.
Answer:
we know all angles are 90° in the rectangle
therefore, angle d = bdc+bda = 90
=> 31+bda = 90
=>angle bda= 59
The measurement of the angle ADB should be considered as the 59 degrees.
Calculation of the measurement of the angle ADB:Since we know that all angles in the rectangle should be of 90 degrees
So,
Here angle d = bdc + bda
= 90
Now
31 + bda = 90
So, bda = 90 - 31
= 59
hence, The measurement of the angle ADB should be considered as the 59 degrees.
Learn more about rectangle here: https://brainly.com/question/1916433
What’s the answer??????
Answer:
50p
Step-by-step explanation:
you can add them all up together. 27+3+6+14=50!
Tyler used 1 1/2 gallons of paint to paint 5/7 of a fence. How many gallons will it take to paint the whole fence?
1) Write a multiplication equation representing this question.
2) Write a division equation representing this question.
Explain your reasoning.
9514 1404 393
9514 1404 393
Answer:
1) (1 1/2)(7/5) = g
2) (1 1/2)/(5/7) = g
Step-by-step explanation:
1) Tyler has painted 5/7 of the 7/7 of the fence. So the total amount of the fence is (7/7)/(5/7) = 7/5 as much as what was already painted.
The total amount of paint needed is then 7/5 the amount already used:
g = (7/5)(1 1/2) . . . . . gallons of paint needed for the whole fence
__
2) If g gallons are required for the whole fence, the amount used so far for 5/7 of the fence is 5/7 of the quantity required:
(5/7)g = 1 1/2
g = (1 1/2)/(5/7) . . . . division expression for the paint needed
Two 5-sided dice are rolled and the results of the two dice are added together. How many different sums are possible?
Answer:
15 different sums.
Step-by-step explanation:
1+2
1+3
1+4
1+5
1+6
2+3
2+4
2+5
2+6
3+4
3+5
3+6
4+5
4+6
5+6
There is 15 different sums.
what are the solutions to the equation 3x²+15x=18
Answer:
x = 1 or x = −6
Step-by-step explanation:
Step 1: Subtract 18 from both sides.
3x2+15x−18=18−18
3x2+15x−18=0
Step 2: Factor left side of equation.
3(x−1)(x+6)=0
Step 3: Set factors equal to 0.
x−1=0 or x+6=0
x=1 or x=−6
what is 2x-6=16
please help
Answer:
x=11
Step-by-step explanation:
step 1- add 6 to both sides
2x-6+6=16+6
step 2- divide both side by 2
2x/2 22/2
x=11
I suggest using a calculator called Math Papa that's what I use for equations
if a probability of a player a is 0.3 then the probability of a player b is how much?
Answer:
0.7
Step-by-step explanation:
The total probability is equal to 1
To find the probability of player b we take the probability of player a and subtract it from the total probability of 1
Hence 1-0.3=0.7
Answer:
0.7
Step-by-step explanation:
→ Minus 1 from the probabilities as all probabilities add up to 1
1 - 0.3 = 0.7
cos B =
tan B =
sin B =
The three main trig functions are sine (written as sin), cosine (written as cos), and tangent (written as tan).
Sine of an angle = the length of the side opposite (aka across) the angle / the length of the hypotenuse
Cosine of an angle = the length of the side adjacent (aka the side next to which isn't the hypotenuse) to the angle / the length of the hypotenuse
Tangent of an angle = the length of the side opposite of the angle / the length of the side adjacent to the angle.
The acronym to remember this is SOHCAHTOA
SOH | CAH | TOA
SOH means sin(x) = opposite/hypotenuse
CAH means cos(x) = adjacent/hypotenuse
TOA means tan(x)= opposite/adjacent
cosB = length of adjacent side/length of hypotenuse = 7/25
tanB = length of opposite/length of adjacent = 24/7
sinB = length of opposite/length of hypotenuse = 24/25
NEED HELP!!!!!!
Please
Answer:
the question is blurry and it has a glare
Over the past few years, Mitchell has made 99 trips to visit the amusement park. He drove 6,870.1 kilometers in all. To the nearest hundredth of a kilometer, how far did Mitchell drive on each trip?
Answer:
69.39 kilometers
Step-by-step explanation:
total kilometres driven on each trip = total kilometres driven on all trips / total number of visits
6,870.1 / 99 = 69.394949
To the nearest hundredth means we are rounding off the third number after the decimal point. The second number after the decimal is the hundredth. The third number is less than 4, so zero would be added to the preceding number
69.39 kilometers
Is f<12 true or false
Answer ASAP pls pls
Answer:
21x +11 is the answer hope this helps
How many kilograms of water must be added to 25 kilograms of a 15% salt solution to produce a 5% solution ?
Answer:
50kg
Step-by-step explanation:
25 kg of a 15% salt solution
25kg * 15%
25kg * 15/100 = 3.75 kg
3.75kg * 100/5
3.75 * 20 = 75
Mass of water in kg increased from 25kg to 75kg
75kg - 25kg = 50kg of water must be added.
the side lengths of a triangle are 6,8 and 10 is this a right triangle
Answer:
Hi friend I am new can you show me how post question pls
Step-by-step explanation:
Can someone round these to the nearest .1
1.602564102564103
2.380952380952381
Answer:
1.6; 2.4
Step-by-step explanation:
five or more round up
4 or less leave as is
Does this triangle have a hypotenuse about 39 feet long
Answer:
hypotenuse is about 33 ft long
Step-by-step explanation:
a^2+b^2=c^2
a= 30
b=14
30^2+14^2= 1096 =c^2
[tex]\sqrt{1096}[/tex]=c
33.1=c
hypotenuse is about 33 ft long
Answer:
No, the Hypotenuse is 33.11
Step-by-step explanation:
The formula for finding a hypotenuse is:
[tex]\sqrt{x^2+y^2}[/tex]
x=30 and y=14 here
[tex]x^2=900[/tex]
[tex]y^2=196[/tex]
[tex]x^2+y^2= 1,096[/tex]
[tex]\sqrt{1,096} = 33.11[/tex]
So it would be about 33, not 39
Each month, Jacob's Bank
statement shows a withdrawal
of $30 for his gym membership.
What was the total withdrawal
for the year?
Answer:
360$
Step-by-step explanation:
Calculators are cool.
Answer:
The total withdrawal is $360 dollars/
Step-by-step explanation:
12 months in a year
so
30 * 12 = 360
$360
Plz mark as brainliest if this helped! Have a nice day!!!
-Lil_G
20) The sales tax on a $25 shirt purchased at the Laker Store in Russell Springs is $1.99. What is the sales tax rate in Russell Springs?
Answer:
the cost is $26
i think ths answer would be help full
Select the answer that correctly orders the set of numbers from greatest to least. 0.25, start fraction 2 over 5 end fraction , 32%, start fraction 7 over 14 end fraction A. start fraction 7 over 14 end fraction, start fraction 2 over 5 end fraction, 32%, 0.25 B. start fraction 7 over 14 end fraction, 0.25, 32%, start fraction 2 over 5 end fraction C. start fraction 7 over 14 end fraction, 32%, start fraction 2 over 5 end fraction ,0.25 D. start fraction 2 over 5 end fraction, start fraction 7 over 14 end fraction, 32%, 0.25 please help ASAPPP
Answer:
A. 7/14, 2/5, 32%, and .25
Point Z(-5, -6) was translated to Z'(-8, 4). Describe the direction and distance of the
translation.
Answer:
please send an image so I can further assist
*EXTRA POINTS- SOMEONE PLS HELP ITS AN 8TH GRADE WORD PROBLEM*
Suppose a video store charges nonmembers $4 to rent each video. A store membership costs $21 and members pay only $2.50 to rent each video. For what number of videos is the cost the same?
Answer:
You need to rent
14
videos, and you'll pay the same amount for both. Renting
15
will make the membership a better method of payment.
Explanation:
We can create an equation. Say the number of videos you rent is given by
n
. We can write that, if we rent
n
videos without membership, we'll have to pay
4
n
. If we rent the same amount of videos with membership, we'll have to pay
21
+
2.5
n
.
To find the value of
n
such that the amount you pay without membership is equal to the amount you pay with, we write:
4
n
=
21
+
2.5
n
1.5
n
=
21
n
=
21
1.5
n
=
14
You need to rent
14
videos, and you'll pay the same amount for both. Renting
15
will make the membership a better method of payment.
PLEASE HELP AS SOON AS POSSIBLE PLEASE SHOW WORK AND HELP ME UNDERSTAND ASAP WILL GIVE BRAINLIEST
Answer:
y = 2x + 8
Step-by-step explanation:
Recall that two parallel lines have the same slope.
Thus, if we begin with y = 2x - 4, we know that this new line through (-1, 6) will also have slope 2.
Starting from the slope-intercept form y = mx + b, we substitute 2 for m, -1 for x and 6 for y:
6 = 2(-1) + b
and solve for the new y-intercept, b:
6 = -2 + b, or
b = 8
Then the new line has the equation y = 2x + 8
The height of a skydiver jumping out of an airplane is given by n = -16t^2 + 3200. How long will it take the skydiver to reach the ground? Round to the nearest tenth of a second.
Answer:
0 = -16t² + 3200 → 16t²= 3200 → t² = 200 → t = 10√2 s ≈ 14 s
The time taken by the skydiver to reach the ground is 14.1 second.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Given that, the height of a skydiver jumping out of an airplane is given by n = -16t² + 3200.
Here, n=0
-16t² + 3200=0
-16t²=-3200
t²=200
t=√200
t=14.14
t=14.1 second
Therefore, the time taken by the skydiver to reach the ground is 14.1 second.
To learn more about the solution of quadratic equation visit:
https://brainly.com/question/18305483.
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Pls help if you know-
Suzie is baking blueberry pies to sell at her bakery. She starts with 9 cartons of blueberries, of which she uses 2/3 for the first batch of pies. How many cartons of blueberries does Suzie use for the first batch of pies?
Answer:
.
Step-by-step explanation:
Jonathan was 45 inches tall when he started kindergarten. He grew an average of 2.5 inches every year. Jonathan is now 62.5 inches tall. Which equation can be used to find how many years ago Jonathan started kindergarten, and how many years ago was it?
A. (45 + 62.5) ÷ 2.5 = x 7 years
B. 2.5x + 45 = 62.5 7 years
C. (45 + 62.5) ÷ 2.5 = x 43 years
D. 2.5x + 45 = 62.5 43 years
Answer:
B; 2.5x + 45 = 62.5
Step-by-step explanation:
Since the current height is 62.5, and the starting height is 45, then all you have to do is subtract 45 from 62.5, then divide that by 2.5 to get your answer, which should be 7 years.
Hopefully this helps- let me know if you have any questions!