Answer:58.8km/h
Step-by-step explanation: V= 1.67/1.7= 0.98 km/min
0.98*60min=58.8
Justin is evaluating the expression 12.53.8x, when x is 7.9.
12.5+3.847.9)
16.3(7.9)
128.77
What was Justin's error?
Justin should have multiplied 12.5 and 7.9 first.
Justin should have added 12.5 and 7.9 first.
Justin should have multiplied 3.8 and 7.9 first.
O Justin should have added 3.8 and 7.9 first.
Justin should have multiplied 3.8 and 7.9 first
How to evaluate an expression?He is trying to evaluate the expression 12.5 + 3.8x, when x = 7.9.
This was Justin solution to the expression
12.5 + 3.8(7.9)
16.3(7.9)
128.77
Now let's do our own arithmetic,
12.5 + 3.8x
we have to substitute the value of x in the equation.
12.5 + 3.8(7.9)
Using PEMDAS principle, we have to multiply before addition.
Therefore,
12.5 + 3.8(7.9)
12.5 + 30.02
42.52
Hence, Justin should have multiplied 3.8 and 7.9 first
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A gaming company claimed that their role-playing games take over 65 hours to complete. A sample of 300 gamers played their role-playing games and were able to complete them with a mean time of 63, hours with a standard deviation of 10 hours. Using a 1% level of significance, test the gaming company's hypothesis.
A. Reject the null hypothesis. There is enough evidence to oppose the gaming company's claim.
B. Reject the null hypothesis. There is not enough evidence to oppose the gaming company's claim.
C. Fail to reject the null hypothesis. There is not enough evidence to oppose the gaming company's claim.
D. Fail to reject the null hypothesis. There is enough evidence to oppose the gaming company's claim.
Answer:
D. Fail to reject the null hypothesis. There is enough evidence to oppose the gaming company's claim.
Step-by-step explanation:
Let μ = mean time to complete a role-playing game.
The company claims that their role-playing games take over 65 hours to complete, so the hypotheses are:
H₀: μ = 65 H₁: μ > 65
Therefore, this is a one-tailed test.
The significance level is 1%, so α = 0.01.
Find the value of the test statistic (z):
[tex]\textsf{sample mean }\overline{x}=63,\quad \sigma=10, \quad n=300[/tex]
[tex]\implies z=\dfrac{\overline{x}-\mu}{\sigma / \sqrt{n}}=\dfrac{63-65}{10 / \sqrt{300}}=-2\sqrt{3}=-3.4641...[/tex]
Using the “Percentage Points of The Normal Distribution” table, the critical value is z = 2.3263 meaning the critical region is Z > 2.3263.
Since z = -3.4641... < 2.3263, the observed value of the test statistic lies outside the critical region. Therefore, the result is not significant.
Conclusion
There is sufficient evidence at the 1% level of significance to fail to reject H₀ and to oppose the alternative hypothesis that the mean time to complete the role-playing game is more than 65 hours.
Answer:
A) Reject the null hypothesis. There is enough evidence to oppose the gaming company's claim.
Step-by-step explanation:
The test statistic needs to fall within the rejection regions that are above and below the critical z-score associated with a 1% level of significance in order to reject the null hypothesis. Otherwise, we will fail to reject the null hypothesis.
Which is the first error that Tomas made?
Answer:
on what nothing there
Step-by-step explanation:
Help me figure out this piecewise question!! 60 points!
Check the picture below.
516 is divisible by?
Answer:
1
2
3
4
6
12
43
86
129
172
258
516
Step-by-step explanation:
516 is divisible by?
Solve the equation. b+9=13 Enter the solution for the variable b in the box. b =
Answer: I think its 4
Step-by-step explanation: because 4+9=13
3.5 lb of cheese for $8.94
$_
per lb
Answer:
your answer is $2.55
We use _____ statistics to determine whether results from a sample can be generalized to a population.
To establish whether findings from a sample may be extrapolated to the entire population, we use inferential statistics.
What makes a sample different from the population, please?A population is the total group about which you want to reach conclusions. A sample is the specific group from which you will collect data. Always, the sample size is less than the whole population. The term "population" in research rarely refers to people. Using an office as an example, all of the employees would represent the Population, and all of the managers would represent the Sample. To create a comparison, picture your population as an ocean, and your sample as an aquarium.
Inferential statistics is a branch of statistics that uses data to draw inferences and generalizations about a certain situation or fact.
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Mr McGee found that 6 students in his class have a sports practice today based on this result how many of the 300 students in the school have practice today
Answer: Number of students out of 300 who will attend sports class are 200.
Step-by-step explanation:
Let x be no. of students in 300 students who have sports practice;
Mr McGee found that 6 students out of 9 in his class have a sports practice today.
so according to ratio and proportions we have:
6/9=x/300
by cross multiplying 300 on left hand side we have ;
x=200 students
So
number of students out of 300 who will attend sports class are 200.
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Answer:
Step-by-step explanation: Based on the given condition, formulate :
multiply total students with 6
6×300 =1800
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Graph on the number line the following …. x >7 orx <-3
Answer:
Step-by-step explanation: Step 1: Make a table of that equation suppose x = 7. You can consider it like x+y = 7 in which x = will be 7 only and y will become 0.
Step 2: To answer this on a graph.. make all four quadrants and mark the coordinates such a the value of x = 7 should lie on the x-axis and y = 0 lies on the y-axis.
Step 3: Draw a straight line at the coordinates you got which were (7,0)
Here you go :)
Pls read to picture below
Answer:
1) 6a
2) 8
3) 18a
Step-by-step explanation:
1) [tex] \sf {2a}^{ - 1} \times {3a}^{2} [/tex]
Simplify using exponent rule with the same base
[tex] \sf \: 2 \times {3a}^{ - 1 + 2} [/tex]
Multiply the monomials
[tex] \sf \: 6a {}^{ - 1 + 2} [/tex]
Calculate the sum or difference.
[tex] \sf \: {6a}^{1} [/tex]
Calculate the power
[tex] \sf \: 6a[/tex]
2) [tex] \sf( \frac{1}{2} ) {}^{ - 3} [/tex]
simplify using negative exponents rule [tex] \sf {a}^{-n} = \frac{1}{{a}^{n}} [/tex]
[tex] \sf {2}^{3} [/tex]
calculate the power
[tex] \sf \: 8[/tex]
3) [tex] \sf {2a}^{ - 1} \times {(3a)}^{2} [/tex]
Simplify using exponents rule with the same exponent
[tex] \sf {2a}^{-1} × {3}^{2} × {a}^{2}[/tex]
Simplify using exponents rule with the same base a ^ n + a ^m = a ^n+m
[tex] \sf 2×{3}^{2} ×{a}^{-1+2} [/tex]
Calculate the power
[tex] \sf 2 × 9a {}^{-1+2}[/tex]
[tex] \sf 18a[/tex]
2(I) We round a number to three significant figures in the same way that we would round to three decimal places. We count from the first non-zero digit for three digits. We then round the last digit. We fill in any remaining places to the right of the decimal point with zeros.
8348 = 8350(rounded to 3 SF)
2(ii) 0.00796 = 0.0080
2(II) 6.329 = 6
2(III) 0.05684 = 0.0568
Step-by-step explanation:
1.i
2a^-1 × 3a²
remember, when we multiply factors with the same base value or variable, we keep that base value or variable and simply add the exponents.
-1 + 2 = 1
so, we get
2×3 × a¹ = 6a
1.ii
(1/2)^-3
remember, the "-" on the exponent just means 1/...
so, it is actually
1 / (1/2)³ = 1 / 1/8 = 8
1.iii
2a^-1 × (3a)²
similar to the first one, but remember, when we put the product of factors to a certain power, we need to do this for every factor of the inner multiplication :
2a^-1 × 9a² = 2×9 × a¹ = 18a
2.
the first significant figure is the first digit in the number reading from the left, that is not 0. it can be before or after the decimal point.
any digit (now continuing to read further to the right) after the first significant figure is again a significant figure even if it is 0.
i.
8.348 is rounded to 3 significant figures : 8.35
ii.
0.00796 is rounded to 2 significant figures :
0.0080 or 0.008 (because if the last digit after the decimal point is a 0, we can ignore it).
iii.
6.329 is rounded to 1 decimal place : 6.3
iv.
0.05684 is rounded to 3 decimal places : 0.057
3.
the sum of interior angles in a polygon is (n − 2) × 180°. where n is the number of sides.
as deca stands for 10, a decagon has 10 sides and 10 vertexes.
the sum of its inner angles is
(10 - 2) × 180° = 8 × 180° = 1440°
1170° of that is already covered by the first 7 angles.
so, we have left
1440 - 1170 = 270°
for the remaining 3 angles (that are all equal).
so,
270 = 3×angle
angle = 270/3 = 90°.
so, all of the 3 remaining angles are 90°.
The ratio of the number of footballs to the number of baseballs is, The ratio of the number of baseballs to the number of footballs i
The function m(x) = |x-441 represents the absolute deviation (in years) of a man's agex (in years) from the average age of men in a
city. The function w(x)=x-47| represents the absolute deviation (in years) of a woman's age x (in years) from the average age of
women in the same city. Compare the absolute deviations for a man and a woman who are both 64 years old.
A
The age of the man is years from the average age of men in the city. The age of the woman isyears from the average age of women in the city.
the absolute deviation for the man is 3 years more than the one for the woman.
How to compare the deviations?We know that the absolute value function:
m(x) = |x - 44|
Represents the absolute deviation of man's age, in years.
This means that the average age of a man in that city is 44 years old, so if a man has 64 years, then the absolute deviation is given by:
m(64) = |64 - 44| = 20
The absolute deviation for a man of 64 years old living in this city is 20 years.
Similar for the case of women, the equation here is:
w(x) = |x - 47|
If a woman has 64 years old, then the absolute deviation is:
w(64) = |64 - 47| = 17
The absolute deviation is 17 years.
We can see that the absolute deviation for the man is 3 years more than the one for the woman.
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f(9)=-4(9)^2-4(9)+18=
PLEASE HELP ASAP!!!!!!!!!
Use PEMDAS to solve the following problem: 60* 10-8* (3* 2) What is left after completing the first step of PEMDAS
Answer:60*10-8*6
Step-by-step explanation: after you complete the first step which is perenthesis you are left with 60*10-8*6
The first step is the parenthesis. the left after completing the first step of PEMDAS is answer 552.
How to determine the first step?The equation is given as:
60* 10-8* (3* 2)
Using PEMDAS, the first step is to open the brackets by multiplication So, we have:
60* 10-8* (3* 2)
60* 10-8*6
Then multiply the rest and subtract.
600- 48 = 552
Hence, the first step is the parenthesis. the left after completing the first step of PEMDAS is answer 552.
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A
(5x − 11)
(3x + 11)
find y
Please help, I’m not sure what I’m doing.
Step-by-step explanation:
Fact 1: Alternate angles are equal.
Angles, (5x-11)° and (3x+17)° are ALTERNATE angles and so,
(5x-11)° = (3x+17)°
5x - 3x = 17 + 11
2x = 28
x = 28 ÷ 2
x = 14
NB: x does NOT have the degree sign because it's NOT an angle on its own, but rather within the bracket/part of the calculation to get the angle degree.
Fact 2: Opposite angles are equal.
Y° and (3x+17)° are OPPOSITE angles
y = (3x+17)°
y = (3x14) + 17
y= 42 + 17
y = 59°
Hope this helps!
вычислите: 164,358-104,55
I neeeddd the answer
Answer: 80 degrees because a line is 180°.
So if you subtract
180 - 100 = 80°
Answer:
x=80°
Step-by-step explanation:
The measures of angle x and the 100° angle form a straight angle.
This straight angle is 180°.
You can subtract the measure of one angle from the whole to find the measure of the other angle.
180°-100°=80°
This means angle x is 80°.
Robert wants to throw a party for his friends. he has booked a banquet hall where he plans to serve dinner. the hall costs $200, and dinner costs $30 per person. if the final bill is p, which function gives the number of friends at the party.
The mass of Earth in Kilograms is about 6 x 10 to the 24 power, and the mass of the moon is about 7 x 10 to the 22 power. What is the sum of the masses of earth and its moon
The sum of the masses of earth and its moon is 6.07 * 10^24kg
Sum of scientific valuesScientific values are values expressed in the form A * 10^n
where
A is any value between 1 and 10
n is any integer
Given the following
Mass of earth = 6 *10^24kg
Mass of moon. = 7 *10^22kg
Take the sum
Sum = 600 * 10^22 + 7 * 10^22
Sum = 607 * 10^22
Sum = 6.07 * 10^24
Hence the sum of the masses of earth and its moon is 6.07 * 10^24kg
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During a pudding eating contest, Jackie ate five and a half pudding
cups. His sister ate two and a quarter pudding cups. How many pudding
cups did they eat altogether?
PLS HELP ME BY SHOWING STEP BY STEP, THE EQUATION AND THATS IT PLS HELP IM DESPERATE!!
can someone help me with this, i don’t understand
Answer:
Step-by-step explanation:
This is just a complicated method to do ratios and proportions
use the given x and y values and the ratio will be determined by k.
Then use that k and the second x value to find y.
-8 = k(20)
k = -2/5
Next part
y = (-2/5)(-4)
y = 1.6
I don't understand this and I can't go to school I have covid
what is (-3, 0) (0, -3) in slope-intercept form
Answer: Y= 1x + 0
Y=mx+b
The Oompa-Loompas are 4
inches tall when they are
children. The Hyperion tree is
1,000 times greater in height.
How tall is the Hyperion tree?
Answer:
4000inches
Step-by-step explanation:
1000*4 = 4000inches
Answer: 4,000 inches
Step-by-step explanation:
this is because 4 times 1000 is 4000 so the Hyperion tree would be 4000 inches tall
Aramis showed the division of 6p2 9p 3 by 3p. a 3 b what are the values of a and b? a = 2p and b = p a = 3p and b = p a = and b = a = 2p and b =
A = 2p and B = 1/p are the values of a and b.
What does math division mean?
A number is divided in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. Of course, in order to be fair, you should always pay each person the same amount.To divide this,
[tex]\frac{6p^{2} }{3p} = 2p[/tex]
Multiplying back through, we have
[tex]3p * 2p = 6p^{2}[/tex]
Subtracting this from the first term under the box, we have
[tex]6p^{2} - 6p^{2} = 0[/tex]
Bring down the next term, 9p.
See how many times 3p goes into 9p = 9p/3p = 3
Multiplying back through, we have 3(3p) = 9p.
Subtract this from the line above; 9p-9p = 0.
Bring down the last term, 3.
Since this is not 0, this is the remainder.
This gives us
2p + 3 R 3;
writing this as a rational expression, we have
2p + 3 + 3/3p
The remainder term 3/3p will simplify to 1/1p or 1/p;
this gives us
2p + 3 + 1/p
Therefore, the answer is A = 2p and B = 1/p
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A basketball player's free throw percentage is 82.5%, or 0.825.
Write this as a fraction.
A. Identify the place value of the last digit in the terminating
decimal. Use this to determine the denominator of the
fraction. The digits to the right of the decimal point are
the numerator of the fraction.
0.825 = 825
Answer:
The 5 is in the thousandths place.
825/1000
Step-by-step explanation:
Simplified this would be 33/40
825/1000 Divide the top and bottom by 25
Write and solve an equation for the situation.
4. The sum of 7 and u is 14. (1 point)
7+u = 14; u = 7
14+7=u: u = 21
7+u = 14: u = 8
7+14=u: u = 21
Answer:
=> 7+u = 14; u = 7
Step-by-step explanation:
The sum of 7 and u is 14
=> u + 7 = 14
=> u = 14-7
=> u = 7
The cost of onedozen of egg is 93.6 find out the cost of each egg
Answer:
7.8 rupees
Step-by-step explanation:
The last four weekly values of sales were 80, 100, 105, and 90 units. the last four forecasts were 60, 80, 95, and 75 units. these forecasts illustrate:_________
These forecasts illustrate bias.
What is bias?Bias is defined as a disproportionate weight in favor of or against an idea or thing, usually in a closed-minded, prejudicial, or unfair manner. Biases can be inherited or acquired. Biases for or against an individual, a group, or a belief can develop. A bias is a systematic error in science and engineering. Statistical bias occurs when a population is unfairly sampled or when an estimation process produces inaccurate results on average. As an example, the previous four weekly sales values were 80, 100, 105, and 90 units. The last four forecasts were for 60, 80, 95, and 75 units, respectively. These forecasts show bias.Therefore, these forecasts illustrate bias.
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