Answer:
63 is the range of the following test scores.
Step-by-step explanation:
1. The largest number is 95.
2. The smallest number is 32.
3. The range is the difference between the largest and the smallest number.
4. Subtract 95 - 32 which equals 63.
5. 63 is the range of the following test scores.
in a standard xy plane, a line passes through the points (n,8)(32,n) and the origin. if n is a positive real number, what is the value of n
Answer:
n = 16
Step-by-step explanation:
The slope from the origin to each point must be equal
(0,0) and (n, 8)
m = 8/n
(0, 0) and (32, n)
m = n/32
Set the slopes equal
8/n = n/32
cross multiply
256 = n²
Take the square root of both sides
n = 16
Which of the following is a geometric sequence?
O A. 11, 16, 21, 26, ...
B. - 3, 3, -3, 3, ...
O C. -2, 6, 14, 22, ...
O D. 6, 13, 19, 24, ...
Answer:
A
Step-by-step explanation:
geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. Option b is the geometric sequence with the common ratio of 2
sin²(240°) how to solve
Answer:
3/4
Step-by-step explanation:
sin^2(240°)
=sin^2(360-120)
=sin^2(-120)
={-sin^2(120)}
=(-[tex]\sqrt({3} /2)^2[/tex]
=3/4
Step-by-step explanation:
i hope so u can see sorry
and it is correct
70. Angle of Revolution. Through how many radians does the minute hand of a wrist-watch rotate from 12:40 P.M. to 1:30 P.M.
Answer:
[tex]\frac{5\pi}{3}\:\mathrm{radians}[/tex]
Step-by-step explanation:
Each complete revolution of a circle is equal to [tex]2\pi[/tex] radians. The minute-hand travels one of these revolutions in 60 minutes. Since there are 50 minutes from 12:40 PM to 1:30 PM, the minute hand travels [tex]\frac{50}{60}\cdot 2\pi=\frac{100}{60}\cdot 2\pi=\boxed{5\pi/3\:\mathrm{radians}}[/tex]
What is the measurement for b ??
how do we prove that a line is a tangent of a circle
Answer:
if the line makes an angle of 90° with the radius of the circle at the point of contact of the tangent and the circle
Type the height of the ramp (h), in inches. Round your answer to the nearest whole inch.
Answer:
49 inches
Step-by-step explanation:
To obtain the height, h of the ramp ;; we use trigonometry ;
h = opposite and the value of the hypotenus :
Sin θ = opposite / hypotenus
Sin 22 = h / 132
h = 132 * sin 22
h = 132 * 0.3746065
h = 49.44
Height of ramp = 49 inches
Please help ASAP due at 11:15
Answer:
number 8 is d 16 good luck
Please help and thank you. Brainliest!
Answer:
B) $22 for 4 pounds of cashews.
Step-by-step explanation:
[tex]\frac{5.5}{1}= \frac{22}{4}\\4(5.5)=22\\22=22[/tex]
The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.
From the given scenario, we can conclude that events A and B are
Answer:
dependent events since P(A and B) is not equal to P(A) * P(B)
Step-by-step explanation:
According to the Question,
Given, The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.Thus, The events A, B and A∩B are:
A - Jane will go to a ballgame on Monday;
B - Kate will go to a ballgame on Monday;
A∩B - Kate and Jane both go to the ballgame on Monday.
P(A)=0.73, P(B)=0.61, P(A∩B)=0.52.Pr(A)⋅Pr(B) = 0.73⋅0.61 = 0.4453 ≠ 0.52So, events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)
Answer:
From the given scenario, we can conclude that events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)
Step-by-step explanation:
Correct answer for plato users
Select the correct answer.
Observe the sequences below.
I. -3, 1, 5, 9, . . .
II. 1, 2, 4, 8, . . .
III. 4, -12, 36, -108, . . .
IV. 7, 14, 21, 28, . . .
Which of these are arithmetic sequences?
A.
IV only
B.
I and IV
C.
I, II, and IV
D.
II and III
Answer:
B
Step-by-step explanation:
The answer is B, I and IV only
Option B is correct about observing the sequences below.
We have given that,
I. -3, 1, 5, 9, . . .
II. 1, 2, 4, 8, . . .
III. 4, -12, 36, -108, . . .
IV. 7, 14, 21, 28, . . .
What is the sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
We have to determine the correct answer for the above sequence
Therefore, The answer is B, I, and IV only.
To learn more about the sequence visit:
https://brainly.com/question/6561461
#SPJ2
1. If NK = 7 and KL = 15, find NL.
2. If m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°, find x.
Answer:
NL = 13.26
x = 9.5
Step-by-step explanation:
Find the diagram attached
1) Given that NK = 7 and KL = 15
NL² = KL² - NK²
NL² = 15² -7²
NL² = 176
NL = 13.26
2) Given that m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°
From the rhombus;
m<JML = 120 degrees
m∠JMK + m∠LMK = m∠JML
8x-13 + 4x +19 = 120
12x + 6 = 120
12x = 120-6
12x = 114
x = 114/12
x = 9.5
Hence the valle of x is 9.5
Roll the dice 18 times and record your results.
#
Tallies
Total
1
2
3
4
5
6
Answer:
# Tally
1: ||||| (5)
2: | (1)
3: |||| (4)
4: ||| (3)
5: || (2)
6: ||| (3)
Numbers with the same absolute value are?
Answer:Two numbers are opposites if they have the same absolute value but different signs.
Step-by-step explanation:
Two numbers are opposites if they have the same absolute value but different signs. Opposites are the same distance from 0 on a number line, and they are on opposite sides of 0. The opposite of 0 is 0.
The absolute value is the same as the distance!
I hope this helps =)
Multiply (3n + 8) by (4n + 2) using double distribution.
Answer:
12n² + 38n + 16
Step-by-step explanation:
(3n + 8)(4n + 2)
12n² + 6n + 32n + 16
12n² + 38n + 16
Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. The list represents the approximate number of megabytes of data Grace used each month.
700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750
What is the standard deviation of the data? Round to the nearest whole number.
The standard deviation of the data is 100 if round to the nearest whole number.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
The list represents the approximate number of megabytes of data Grace used each month as shown in the table.
To find the standard deviation first we will find the mean:
The sum of the all data given = 9380
The mean X' = 9380/12 (total number of observation = 12)
Now subtract the mean from each sample value such as (X-X') and square it.
Find the sum of it.
The formula for the standard deviation is given:
[tex]\rm SD =\sqrt{\frac{\sum(X-X')^2}{n} }[/tex]
Put the ∑(X-X')² = 120866.67 and n = 12
[tex]\rm SD =\sqrt{\frac{120866.67}{12} }[/tex]
SD = 100.36 ≈ 100
Thus, the standard deviation of the data is 100 if round to the nearest whole number.
Learn more about the standard deviation here:
brainly.com/question/12402189
State if the triangle is a right triangle. (Remember that the largest value is always c)
No
Yes
Answer:
Yes
Step-by-step explanation:
Right triangles have a 90 degree angle, which this triangle does. The side opposite the 90 degree angle is the hypotenuse. The hypotenuse (in this case 53 m) is the longest side.
The half-life of a radioactive kind of iodine is 12 hours. How much will be left after 24 hours,
if you start with 96 grams of it?
Answer:
Step-by-step explanation:
Half life means the period after which the material will have only 50% of it left, as if by magic.
Half life is given as 12 hours, so 24 hours is twice half-life.
If we start with 96 grams, after 12 hours, there will be 48 grams left.
After another 12 hours, (total of 24 hours), only half is left, namely 24 grams.
Terra Drive due north 44 Miles then East 422 miles. How far is Terra from her starting point
Answer:
466 miles
Step-by-step explanation:
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Find the missing angle?
Answer:
[tex]55.23[/tex]
Step-by-step explanation:
In order to solve this problem, one must use the right triangle trigonometric ratios. Right triangle trigonometric ratios are ratios between the sides and angles of a right triangle. These ratios are the following:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Bear in mind that each side is named relative to the angle that one is describing in the triangle. Thus, the name of the side can change based on the angle. Please note that this only applies to the (opposite) and (adjacent) sides. The (hypotenuse) is the same no matter the angle, as the hypotenuse is the side opposite the right angle.
In this triangle, one is asked to find an angle, one is given the length of the side opposite the angle, as well as the hypotenuse. Thus, one should use the ratio of sine (sin), to solve for the unknown angle.
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
Substitute,
[tex]sin(\theta)=\frac{23}{28}[/tex]
Inverse operations,
[tex]\theta=sin^-1(\frac{23}{28})[/tex]
Simplify,
[tex]\theta=55.228056[/tex]
Simplify the expression 2(w+7)+6(3w−1).
Answer:
4 • (5w + 2)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(2 • (w + 7)) + 6 • (3w - 1)
STEP
2
:
Equation at the end of step 2
2 • (w + 7) + 6 • (3w - 1)
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
20w + 8 = 4 • (5w + 2)
Answer:
20w + 8
Step-by-step explanation:
2(w+7)+6(3w−1).
step 1 distribute the 2 to the w and the 7
2 * w = 2w
2 * 7 = 14
we now have 2w + 14 + 6( 3w - 1 )
step 2 distribute the 6 to the 3w and -1
6 * 3w = 18w
6 * -1 = -6
we now have 2w + 14 + 18w - 6
step 3 combine like terms
2w + 18w = 20w
14 - 6 = 8
we're left with 20w + 8
Which quadratic equation defines the function that has zeros at -8 and 6?
a. x^2 + 2x - 48 = 0
b. x^2 - 2x - 48 = 0
c. x^2 + 2x + 48 = 0
d. x^2 - 2x + 48 = 0
Can someone please tell me what the equation would be and how I would show it
Answer:
Step-by-step explanation:
3x-4y-15=0
Geometric figure: Straight Line
Slope = 1.500/2.000 = 0.750
x-intercept = 15/3 = 5
y-intercept = 15/-4 = -3.75000
Step by step solution :
Step 1 :
Equation of a Straight Line
1.1 Solve 3x-4y-15 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-4y-15 = 0 and calculate its properties
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 15/-4 so this line "cuts" the y axis at y=-3.75000
y-intercept = 15/-4 = -3.75000
Calculate the X-Intercept :
When y = 0 the value of x is 5/1 Our line therefore "cuts" the x axis at x= 5.00000
x-intercept = 15/3 = 5
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.750 and for x=2.000, the value of y is -2.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.250 - (-3.750) = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.500/2.000 = 0.750
Geometric figure: Straight Line
Slope = 1.500/2.000 = 0.750
x-intercept = 15/3 = 5
y-intercept = 15/-4 = -3.75000
Hope This Helps!!!
2^x=1/32 write down the value of x
Answer:
[tex]x=-5[/tex]
Step-by-step explanation:
log ([tex]2^x[/tex]) = log ( [tex]1/32[/tex] ) {take both the sides}
[tex]x[/tex] * ( log ( 2 ) ) = log ( [tex]1/32[/tex] )
[tex]x=\frac{log(1/32)}{log (2)}[/tex]
[tex]x=-5[/tex]
hope this helps....
A woman sold an article for 20.00cedis and made a profit of 25%.Find the cost price of the article.
Answer:
The cost price = GHc 16.00
Step-by-step explanation:
Selling price = GHC 20.00
Profit Percent = 25%
Cost price = ?
Formula for finding cost price =
[tex] \frac{100}{100 + profit \: percent} \times selling \: price[/tex]
Let's insert the numbers
[tex] \frac{100}{100 + 25} \times 20 \\ = \frac{100}{125} \times 20 \\ = \frac{4}{5} \times 20 \\ = \frac{4 \times 20}{5} \\ = \frac{80}{5} \\ = 16[/tex]
So therefore ; the cost price is GHC 16.00
The probability that Sam will win the 50-yard dash is 85%. What is the probability that Sam will not win the 50-yard dash?
Answer:
15%
Step-by-step explanation:
100 % - 85 % = 15 %
got it wrong help a girl out please thank you
Which is equivalent to the expression
(2x = 3x) + (3x + 2x + 3)?
Answer:
add and the take the parathesis out and there you have ur answer
Step-by-step explanation:
Answer:
8x + 3
Step-by-step explanation:
I'm going to asume the = was a typo and you intended
(2x + 3x) + (3x + 2x + 3)
Combine like terms
8x + 3
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
17 points Please help me with the answer and understanding
•Please actually help me out I want to better understand this
•trolls will be reported
Answer:
A
Step-by-step explanation:
just A
successive y values are 5 TIMES the previous y value
In all the others the y value is an ADDITION of the same amount to the previous y value