Answer:
Mean: 17
Median: 16
Mode: 10
Step-by-step explanation:
8, 10, 10, 11, 16, 17, 19, 21, 41
Median: (the middle number in the number list/data set) 16
Mode: 10
Mean: 8 + 10 + 10 + 11 + 16 + 17 + 19 + 21 + 41 = 153/9 = 17
The mean is equal to 17. The value of the median is 16 and the value of the mode is 10.
What are mean, mode and median?The mean of the numbers is defined as the ratio of the sum of the total numbers to the total count of the numbers.
The given numbers are,
8, 10, 10, 11, 16, 17, 19, 21, 41
Mean = ( 8 + 10 + 10 + 11 + 16 + 17 + 19 + 21 + 41 ) / 9
Mean = 153/9
Mean = 17
The median is calculated by arranging the numbers in ascending order and the middle term of the data.
8, 10, 10, 11, 16, 17, 19, 21, 41
The median is 16.
The mode is calculated as the highest repetition in the data,
8, 10, 10, 11, 16, 17, 19, 21, 41
Mode: 10
Therefore, the mean is equal to 17. The value of the median is 16 and the value of the mode is 10.
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Pro
Rule: y =
Bla
Pro
Tea
2.5
SA
LE
Stuck? Watch
video or
a hint
Answer:
explain
Step-by-step explanation:
What is the length of AC? Brainliest for right answer
Answer:
2.3 units
Step-by-step explanation:
A set of data is organized by categories. Which type of graph will best represent the data?
Answer:
Histogram
Step-by-step explanation:
Answer:
a Bar graph
Step-by-step explanation:
i did the test
evaluate
2−(−4)+3+(−6)−(−2)
The expression evaluates to 5.
To evaluate the expression:
2 - (-4) + 3 + (-6) - (-2)
We can simplify it step by step:
First, we simplify the double negatives:
2 + 4 + 3 + (-6) + 2
Next, we combine like terms:
(2 + 4 + 3 + 2) - 6
Now, we perform addition:
11 - 6 = 5
Therefore, the expression evaluates to 5.
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What are the zeros of the quadratic function represented by this graph?
Answer:
Step-by-step explanation:
answer : C when this graph passes trough x-axis
The zeros of the quadratic function are -3 and 1 represented by this graph.
What is a quadratic function?A quadratic function 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.
The zeros of the quadratic function can be determined as the intersection of lines or functions on the x-axis only.
The zeros of the quadratic function are -3 and 1.
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A survey of 1,562 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying technology display results from a test of the claim that 35% of adults have heard of the new electronic reader. Use the normal distribution as an approximation to the binomial distribution, and assume a 0.05 significance level to complete parts (a) through (e). Is the test two-tailed, left-tailed, or right-tailed? Left-tailed test Two-tailed test Right tailed test What is the test statistic? (Round to two décimal places as needed.) What is the P-vahie?
Answer:
a) We want to test the claim that 35% of adults have heard of the new electronic reader, then the system of hypothesis are.:
Null hypothesis:[tex]p=0.35[/tex]
Alternative hypothesis:[tex]p \neq 0.35[/tex]
And is a two tailed test
b) [tex]z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326[/tex]
c) [tex]p_v =2*P(z<-1.326)=0.184[/tex]
d) Null hypothesis:[tex]p=0.35[/tex]
e) Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.
Step-by-step explanation:
Information provided
n=1562 represent the random sample selected
X=522 represent the people who have heard of a new electronic reader
[tex]\hat p=\frac{522}{1562}=0.334[/tex] estimated proportion of people who have heard of a new electronic reader
[tex]p_o=0.35[/tex] is the value to verify
[tex]\alpha=0.05[/tex] represent the significance level
z would represent the statistic
[tex]p_v[/tex] represent the p value
Part a
We want to test the claim that 35% of adults have heard of the new electronic reader, then the system of hypothesis are.:
Null hypothesis:[tex]p=0.35[/tex]
Alternative hypothesis:[tex]p \neq 0.35[/tex]
And is a two tailed test
Part b
The statistic for this case is given :
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326[/tex]
Part c
We can calculate the p value using the laternative hypothesis with the following probability:
[tex]p_v =2*P(z<-1.326)=0.184[/tex]
Part d
The null hypothesis for this case would be:
Null hypothesis:[tex]p=0.35[/tex]
Part e
The best conclusion for this case would be:
Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.
Scott ordered 25 commemorative baseballs. The charge for shipping was $1.40 for each baseball. He paid a total of $260. The equation that models this situation is:
25(x + 1.4) = 260
How much did each baseball cost?
Answer:
$9
Step-by-step explanation:
Answer:
9$
Step-by-step explanation:
Kitzen has entered a raffle along with other students in her class. The table shows how many raffle tickets each student entered. There will be two winners to the raffle. What is the probability that Kitzen’s name will be drawn twice? Use a / to represent a fraction bar.
Answer:
12/48=1/4(Simplified)
Step-by-step explanation:
The probability that Kitzen’s name will be drawn twice is 1/23.
What is the probability?"The probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes".
For the given situation,
The table shows the number of students and the number of raffle tickets.
Kitzen's number of raffle tickets = 12
Ava's number of raffle tickets = 16
Sam's number of raffle tickets = 11
Josie's number of raffle tickets = 9
The event is that the Kitzen’s name will be drawn twice, n(e) = 2(12)
The total number of raffle tickets, n(s) = 48
Thus the probability that Kitzen’s name will be drawn twice,
[tex]P(e)=\frac{n(e)}{n(s)}[/tex]
⇒ [tex]P(e)=\frac{2(12)}{48}[/tex]
⇒ [tex]P(e)= \frac{1}{2}[/tex]
Hence we can conclude that the probability that Kitzen’s name will be drawn twice is 1/23.
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The diameter of a cylindrical water tank is 8 ft, and its height is 9 ft. What is the volume of the tank?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
The volume of the tank is [tex]452\ \text{feet}^3[/tex].
Step-by-step explanation:
We have,
Diameter of a cylindrical water tank is 8 ft
Height of the water tank is 9 ft.
It is required to find the volume of the tank. The volume of a cylindrical shaped object is given by :
[tex]V=\pi r^2h[/tex]
r is radius of cylindrical tank, r = 4 ft
Plugging all the values in above formula,
[tex]V=3.14\times (4)^2\times 9\\\\V=452.16\ \text{feet}^3[/tex]
or
[tex]V=452\ \text{feet}^3[/tex]
So, the volume of the tank is [tex]452\ \text{feet}^3[/tex].
The function Fx) = log5 xis increasing.
Answer:
Yes
Step-by-step explanation:
If F(x)= log base 5 of x, then yes, it is increasing.
Answer: True
Step-by-step explanation: Got it correct on a-p-e-x
You have 9 pets:
4 fish,
1 cat,
2 dogs
and 2 birds. What is the probability a pet chosen at random is a dog or a four legged pet?
Answer:
1/3
Step-by-step explanation:
4 fish, 1 cat,2 dogs,and 2 birds = 9
dogs or 4 legged = cats and dogs = 1+2 = 3
P(dog or 4 legged) = number of dogs or 4 legged / total
=3/9
=1/3
Answer:
⅓
Step-by-step explanation:
Total pets:
4+1+2+2 = 9
Dog or four legged pets: 2 + 1 = 3
Probability: 3/9 = 1/3
A car depreciates at a rate of 15% of its value annually. Carl purchased a new car for $25,000 and wants to know how many years will it take until the car is worth less than $5,000. He uses the equation 25000(0.85) t = 5000. How many years will Carl have until his new car is worth about $5000? Round your answer to the nearest hundredth.
Answer:
84 bih
Step-by-step explanation:
The Elster family drove 9.25 hours on the first day of their road trip. How many minutes is this equivalent to?
Answer:
555 minutes
Step-by-step explanation:
hurry plz im timed. i have 20 minutes left
Which shows how the distributive property can be used to evaluate 7 times 8 and four-fifths?
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
56 times StartFraction 28 over 5 EndFraction = StartFraction 1568 over 5 EndFraction = 313 and three-fifths
15 + (StartFraction 35 over 5 EndFraction + four-fifths) = 15 + StartFraction 39 over 5 EndFraction = StartFraction 75 over 5 EndFraction + StartFraction 39 over 5 EndFraction = StartFraction 114 over 5 EndFraction = 22 and four-fifths
15 times (StartFraction 35 over 5 EndFraction + four-fifths) = 15 times StartFraction 39 over 5 EndFraction = StartFraction 15 over 1 EndFraction times StartFraction 39 over 5 EndFraction = StartFraction 585 over 5 EndFraction = 117
Answer:
First one:
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
Step-by-step explanation:
7 × 8⅘
7(8) + 7(4/5)
56 + 28/5
56 + 5 + 3/5
61 3/5
Answer:
its A
Step-by-step explanation:
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
and pls mark me as brainliest if this is correct! :D
Determine the y-intercept of the function.
x = 4y - 6
Answer:
y = 3/2
Step-by-step explanation:
Answer:
x=4y-6
Geometric figure: Straight Line
Slope = 0.500/2.000 = 0.250
x-intercept = -6/1 = -6.00000
y-intercept = 6/4 = 3/2 = 1.50000
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x-(4*y-6)=0
Step by step solution :
Step 1 :
Equation of a Straight Line
1.1 Solve x-4y+6 = 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 x-4y+6 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 3/2 so this line "cuts" the y axis at y= 1.50000
y-intercept = 6/4 = 3/2 = 1.50000
Calculate the X-Intercept :
When y = 0 the value of x is -6/1 Our line therefore "cuts" the x axis at x=-6.00000
x-intercept = -6/1 = -6.00000
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 1.500 and for x=2.000, the value of y is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 1.500 = 0.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 0.500/2.000 = 0.250
Geometric figure: Straight Line
Slope = 0.500/2.000 = 0.250
x-intercept = -6/1 = -6.00000
y-intercept = 6/4 = 3/2 = 1.50000
Step-by-step explanation:
The table shows the heights of 40 students in a class.
-Height (h)
in cm-
120 < t < 124
124 < t < 128
128 < t < 132
132 <t< 136
136 <t< 140
__________
-Frequency-
7
8
13
9
3
__________
a) Calculate an estimate for the mean height of the students
Answer:
129.3
Step-by-step explanation:
You have to find the number in the middle of all of the heights and multiply them by the all of the frequency (122x7 etc). When you have those answers, add them together and divide the answer by 40.
Which statement is true?
Parallelograms are trapezoids.
A square is always a rhombus.
A rhombus is always a square.
A rectangle is a trapezoid.
Answer:
A square is always a rhombus.
Explanation:
A square has 4 sides of equal length.
Answer:
A square is always a rhombusStep-by-step explanation: trapezoids have 3 angles and 3 sides so in that case rectangles and parallelograms are not trapezoids.rhombuses aren't always squares.The (average) sales price for single family property in Seattle and Port Townsend is tabulated below.
Year Seattle Port Townsend
1970 $38,000 $8,400
1990 $175,000 $168,400
Find a linear model relating the year x and the sales price y for a single family property in Seattle.
Answer:
[tex]y=6,850x - 13,456,500[/tex]
Step-by-step explanation:
To find the linear model, we need to find a linear equation, where its slope is defined as
[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
So, we use the given points (1970, 38000) and (1990, 175000), to find the slope
[tex]m=\frac{175,000-38,000}{1990-1970}=\frac{137,000}{20} =6,850[/tex]
Now, we use the point-slope formula to find the equation
[tex]y-y_{1} =m(x-x_{1} )\\y-38000=6850(x-1970)\\y=6850x-13,494,500+38,000\\y=6,850x - 13,456,500[/tex]
Therefore, the linear model is
[tex]y=6,850x - 13,456,500[/tex]
6th grade math ! Help me please :))
Answer to the perimeter
2 x (5 + 13)
Answer:
2 x (5+13)
Step-by-step explanation:
To find the perimeter of a rectangle you must add all the side lengths. For the rectangle that is displayed, there are 2 sides that measure 13 cm and two that measure 5 cm. Therefore, you should get your answer by adding the 5 cm and the 13 cm, then, multiply the solution by 2 to get your answer.
which of the following is equal to the fraction below? (7/14)^11
Answer:
you don`t have the answer choices
Step-by-step explanation:
What’s the correct answer for this?
Answer:
A.
Step-by-step explanation:
First 1 and 8 are congruent as corresponding angles and since angle 5 and 8 form a linear pair so angle 1 and 5 also add up to 180
CAN SOMEONE HELP ME WITH THIS ONE QUESTION PLEASE AND THANK YOU :D
Answer:
number of wanted outcomes/ amount of different outcomes in total
number of winners/total amount of contestants
Step-by-step explanation:
Dakota worked at a law firm for 6 years. She earned $173,928 per year. How much money did Dakota earn?
Answer:
1,043,568
Step-by-step explanation:
Multiply.
173,928
x. 6
_______
1043568
If there is a strong correlation between the variables a and b, a may cause b.
True or false?
Answer:
true
Step-by-step explanation:
.
Factorise 2y^2 + y + 6xy + 9x - 3
Answer: (2y+3)(3x+y-1)
Step-by-step explanation:
First regroup the terms.
6xy+9x+2y^2+y-3
Second factor 3x out of 6xy+9x
3x(2y)+9x+2y^2+y-3
3x(2y)+3x(3)+2y^2+y-3
And you get
3x(2y+3)+2y^2+y-3
Third factor by grouping
877+100=__+258help me
Answer:
719 = x
Step-by-step explanation:
877+100=_x_+258
Combine like terms
977 = x+258
Subtract 258
977 -258 = x+258-258
719 = x
g(t) = 6t - 1
g ( ) = -7
Answer:
g(-1) = -7
Step-by-step explanation:
Put the given value for g(t) into the first equation and solve for t.
-7 = 6t -1
-6 = 6t . . . . . . add 1
-1 = t . . . . . . . . divide by 6
g(-1) = -7
Answer: -1
Step-by-step explanation:
What is the quotient
x24 - x18 + x12 ÷ x6
Answer:
Simplified expression: x^18 - x^12 + x^6
Step-by-step explanation:
1. Let us write down the question at hand, firstly: x^24 - x^18 + x^12/ x^6
2. Let us factor equation x^24 - x^18 + x^12/ x^6 ⇒ x^12(x^12 - x^6 + 1)/ x^6
3. Now apply exponential rules to get x^6 to the numerator:
x^12 - 6(x^12 - x^6 + 1)
4. Simplify this expression to be ⇒ x^6(x^12 - x^6 + 1)
5. And further simplify this expression by distributing the x^6:
Answer: x^18 - x^12 + x^6
Given f(x)=x2+12x+26. Enter the quadratic function in vertex form in the box. f(x)=
Answer:
vertex(-6,-3)
Step-by-step explanation:
x^2+12+36-36+26
(x+6)^2-10
v=(-6,-10)
The quality control manager at a light bulb factory needs to estimate the mean life of a batch (population) of light bulbs. We assume that the population standard deviation is 100 hours. A random sample of 64 light bulbs from the batch yields a sample mean of 350. a) Construct a 95% confidence interval for the population mean of light bulbs in this batch. b) Do you think that the manufacturer has the right to state that the average life of the light bulbs is 400 hours
Answer:
a)95% confidence intervals for the population mean of light bulbs in this batch
(325.5 ,374.5)
b)
The calculated value Z = 4 > 1.96 at 0.05 level of significance
Null hypothesis is rejected
The manufacturer has not right to take the average life of the light bulbs is 400 hours.
Step-by-step explanation:
Given sample size n = 64
Given mean of the sample x⁻ = 350
Standard deviation of the Population σ = 100 hours
The tabulated value Z₀.₉₅ = 1.96
95% confidence intervals for the population mean of light bulbs in this batch
[tex](x^{-} - Z_{\frac{\alpha }{2} } \frac{S.D}{\sqrt{n} } , x^{-} + Z_{\frac{\alpha }{2} }\frac{S.D}{\sqrt{n} } )[/tex]
[tex](350 - 1.96\frac{100}{\sqrt{64} } , 350 + 1.96\frac{100}{\sqrt{64} } )[/tex]
[tex](350 -24.5, 350 +24.5)[/tex]
(325.5 ,374.5)
b)
Explanation:-
Given mean of the Population μ = 400
Given sample size n = 64
Given mean of the sample x⁻ = 350
Standard deviation of the Population σ = 100 hours
Null hypothesis : H₀:The manufacturer has right to take the average life of the light bulbs is 400 hours.
μ = 400
Alternative Hypothesis: H₁: μ ≠400
The test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{350 -400}{\frac{100}{\sqrt{64} } }[/tex]
|Z| = |-4|
The tabulated value Z₀.₉₅ = 1.96
The calculated value Z = 4 > 1.96 at 0.05 level of significance
Null hypothesis is rejected.
Conclusion:-
The manufacturer has not right to take the average life of the light bulbs is 400 hours.
