Answer:
The percentage of that vehicles whose speeds are between 62 miles per hour and 70 miles per hour
P(62≤X≤70) = 68.76
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 66miles per hour
Given that the standard deviation of the Population = 4 miles per hour
Let 'X' be the random variable in normal distribution
Let x= 62
[tex]Z = \frac{x^{-}-mean }{S.D} = \frac{62-66}{4} =-1[/tex]
let x=70
[tex]Z = \frac{70-66 }{4} = \frac{70-66}{4} =1[/tex]
Step(ii):-
The probability that vehicles whose speeds are between 62 miles per hour and 70 miles per hour
P(62≤X≤70) = P(-1≤Z≤1)
= P(z≤1) -P(Z≤-1)
= P(Z≤1)+P(Z≤1)
= 2×P(Z≤1)
= 2×0.3438
= 0.6876
The percentage of that vehicles whose speeds are between 62 miles per hour and 70 miles per hour
P(62≤X≤70) = 68.76
What is the inverse of the function f(x) = 2x+1
Answer:
The answer is b. h(x) = one-halfx – one-half
Step-by-step explanation:
Answer:
hey everyone its b!!!
Step-by-step explanation:
Please answer and explain for 15 points
Answer:
55% or 27.2 ounces
Suppose that a scientist captures 20 fiddler crabs in a small freshwater pond and marks them before releasing them back to the pond. The following week, the scientist returns and captures 30 fiddler crabs, six of which are marked. What is the estimated size of the fiddler crab population
Answer:
100 fiddler crabs
Step-by-step explanation:
If the 30 crabs are a representation of the entire population, then 6 marked crabs in a population of 30 would mean that
6 / 30 = 0.20 or 20%
20% of the entire crab population are marked. Since we know that a total of 20 fiddler crabs are marked in the pond then we can divide this number of marked crabs by 20% in decimal form to get the estimated total size of the fiddler crab population
20 / 0.20 = 100 fiddler crabs
Service improves society, impacting the helpers as well as those needing assistance. It means being an active participant in one's community, taking action where it can be of benefit. Every person should make it a priority to serve at least two hours per week. It's an extremely important civic responsibility that is invaluable to citizens most in need. Service creates improved communities where people care about each other.
What are the key details from the article that should appear in its summary?
(5 points)
Group of answer choices
Service is performed by millions of Americans each year, saving tax dollars.
Service is being an active helper in the community and taking action that can be of benefit.
Service comes from those who have the time and money to not work.
Service comes from citizens who care and accept their responsibility.
Answer:
Service is being an active helper in the community and taking action that can be of benefit.
Service comes from citizens who care and accept their responsibility.
Use those
C. or D is the answer I think its D
maybe.
John wants to make a glider and he needs to
make sure that XM is the same length as XB
so that his glider will fly smoothly. Can you
help John calculate the length of XM 2 Find
the length of XM if XB = 7k- 3 and XM =
9k-9.
M
B
The length of XM =
Select the correct answer.
Which expression in factored form is equivalent to this expression?
4(x2 – 2x) – 2(x2 – 3)
A. (2x − 3)(x + 1)
B. 2(x + 1)(x + 3)
C. (2x + 3)(x + 1)
D. 2(x - 1)(x – 3)
Took the test. This is the answer.
Answer:
D. 2(x - 1)(x – 3)
Step-by-step explanation:
4(x2 – 2x) – 2(x2 – 3)
We would first of all expand the expression given
This becomes
= 4x2 - 8x - 2x2 + 6
Rearrange to enable us simplify
4x2 - 2x2 - 8x + 6
= 2x2 - 8x + 6
Factorize
2 (x2 - 4x + 3)
factorizing further using the factors of 3 that add up to -4
2(x2 - x - 3x + 3)
pick out the common factors
2(x(x-1) -3(x-1)
2(x-1)(x-3)
Option D. 2(x - 1)(x – 3) is right
Using the Factor Theorem, the factored form equivalent to this expression is:
[tex]2(x - 1)(x - 3)[/tex], given by option D.
The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.In this problem, the expression is:
[tex]4(x^2 - 2x) - 2(x^2 - 3) = 0[/tex]
[tex]4x^2 - 8x - 2x^2 + 6 = 0[/tex]
[tex]2x^2 - 8x + 6 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 2, b = -8, c = 6[/tex].
Hence:
[tex]\Delta = b^2 - 4ac = (-8)^2 - 4(2)(6) = 16[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{8 + 4}{4} = 3[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{8 - 4}{4} = 1[/tex]
Hence, the expression is:
[tex]2(x - 1)(x - 3)[/tex], given by option D.
You can learn more about the Factor Theorem at https://brainly.com/question/24380382
Out of 40 times at bat, Raul got 15 hits. Find Raul’s batting average.
Answer:
.375
Step-by-step explanation:
To find the batting average, do 15/40. And 15/40=.375
a red knot is flying at the average speed of 37 miles per hour. the red knot has flown 296 miles. how many hours has it been tracked
Answer:
time = distance / rate
time = 296 miles / 37 mile per hour
time = 8 hours
Step-by-step explanation:
The null and alternative hypotheses for a hypothesis test of the difference in two population means are: Null Hypothesis:mu 1 equals mu 2 Alternative Hypothesis: mu 1 is less than mu 2 Notice that the alternative hypothesis is a one-tailed test. Suppose ttest_ind method from scipy module is used to perform the test and the output is (3.25, 0.0043). What is the P-value for this hypothesis test
Answer:
the P-value for this hypothesis test is 0.00215
Step-by-step explanation:
Given that;
Null Hypothesis: mu1 = mu2
Alternative Hypothesis: mu1 < mu2
Notice that the alternative hypothesis is a one-tailed test
Now, when when a one-tailed alternative hypothesis is used, To obtain a one-tailed alternative probability value i.e p-value, we divide the result by two (2).
so, given output ( z=3.25, p[tex]_{value}[/tex]=0.0043)
since its one-tailed test
P-value for this hypothesis test = 0.0043 / 2 = 0.00215
Therefore, the P-value for this hypothesis test is 0.00215
What is the correct expanded form and value of
5
?
Answer:
[tex]\frac{4}{5} .\frac{4}{5} .\frac{4}{5} =\frac{64}{125}[/tex]
Step-by-step explanation:
An "exponential form" is being used for "repeated multiplication." The value of [tex](\frac{4}{5} )^3[/tex] is equal to [tex]\frac{4}{5}[/tex] being repeatedly multiplied by itself.
[tex]\frac{4}{5}[/tex] x [tex]\frac{16}{25}[/tex] x [tex]\frac{4}{5}[/tex] = [tex]\frac{64}{125}[/tex]Choice A is incorrect because it is an addition of fraction and also an incorrect way of adding the numerators. Choice C is also incorrect because it also used the addition operation. Choice D is incorrect because it repeatedly multiplied the reciprocal of [tex]\frac{4}{5}[/tex], which is [tex]\frac{5}{4}[/tex], instead of the fraction itself.
The total cost of a jacket and a belt was $57.07. If the price of the jacket was $9.21 less than the belt, what was the price of the jacket? Express your answer as a simplified fraction or a decimal rounded to two places.
Answer:
48.26
Step-by-step explanation:
subtract and thats the answer its 48.26 less than the belt
One Season The Cougars won 20 games. They played a total of 25 games. Use the equation 20 + g = 25 to find g, the number of games the team lost.
Answer:
Step-by-step explanation:
20 + g = 25
-20 -20
g = 5
Which organism does not produce an external egg as part of its life cycle? *
1 point
A dog
B turtle
C parrot
D insect
Answer:
dog
Step-by-step explanation:
On Wednesday, how many total kilograms of flour were prodľiced at plant #1 and
plant #2 combined?
Answer:
110,000 kg
Step-by-step explanation:
Just look at the kilos of flour produced on Wednesday from both plants and add them together :)
Find the annual percentage rate compounded continuously to the nearest tenth of a percent for which $15 would grow to $30 for each of the following time periods.
5 years
10 years
30 years
40 years
What is the perimeter of the figure
Answer:
61cm
Step-by-step explanation:
23 + 23 + 5 + 5 + 5 = 61
hope this helps...
Answer:
The perimeter of the figure is 61 cm
Step-by-step explanation:
The Perimeter of a Shape
It's the sum of all the external side lengths of the shape.
The figure shows a compound shape made of an equilateral triangle and a rectangle.
The external sides are two sides of the triangle and three sides of the rectangle:
P = 5 cm + 5 cm + 23 cm + 23 cm + 5 cm =61 cm
The perimeter of the figure is 61 cm
The original price of a winter jacket is $280. It is on sale for 40 % off. Find the sale price.
Answer:
$168
Step-by-step explanation:
Answer:
$168
Discount amount: $112
Step-by-step explanation:
s = l - d/100 * l
s = 280 = 40%/100 * 280
s = 280 - 0.40 * 280
s = 280 - 112
s = 168
Which is the equation of a line perpendicular to the line with the equation:
y = -3x + 5
A. Y= -3x -7
B. Y= 3x + 2
C. Y= -1/3x - 1/2
D. Y= 1/3x - 1/2
Answer:
D- y=1/3x-1/2
Step-by-step explanation:
I believe that the slope needs to be opposite and the reciprocal
Starting at 1:00 p.M., The temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours (x) it will take to reach -1 °F. please say the equation.
Answer:
0.25 hours
Step-by-step explanation:
The equation for a linear function is given by:
y = mx + b,
where y and x are variables, m is the rate of change of y with respect to x and b is the initial value of y (value of y when x = 0).
Let x represent the number of hours after 1:00 P.M and let y represent the temperature in degree Fahrenheit.
Let us assume that initial the temperature is 0°F. The temperature changes -4 degrees Fahrenheit per hour. From the equation of a linear function y = mx + b:
m = -4 degrees Fahrenheit per hour, b = 0. Hence:
y = -4x
The time taken to reach -1°F is gotten by substituting y = -1 and finding x:
y = -4x
substituting:
-1 = -4x
x = -1 / -4
x = 0.25 hours
0.25 hours = 0.25 hours * 60 minute / 1 hour = 15 minute
Therefore at 1:15 P.M, the temperature is -1°F
what is the solution to the equation below
Answer:
x=-4
Step-by-step explanation:
Cross multiply to get:
3x=4(x+1)
3x=4(x+1)
3x=4x+4
x=-4
Answer:
x=-4
Step-by-step explanation:
cross multiply you get 3x=4x+4. solve algebraically you get x=-4
Find the perimeter of the following shape:
Traveling at approximately 34,300 centimeters per
second, a sound wave would travel about how many
centimeters in 4 hours?
F. 4.94 x 108
G. 4.94 x 107
H. 8.23 x 106
J. 8.23 x 105
K 1.37 x 10
An art teacher has 16 pieces of blue chalk, 14 pieces of red chalk, and 10 pieces of yellow chalk. She
randomly gives a piece of chalk to each student in her class. What is the probability that the first
student will receive a piece of blue chalk? PLEASE ANSWER QUICKLY THANK YOU
Answer:
there is a 40% or a 16/40 chance the the student will receive blue chalk
Step-by-step explanation:
Gordon types 3,572 words in 47 minutes. Find the unit rate.
Answer:
Gordon types at 76 wpm
Step-by-step explanation:
You can find this by dividing the number of words typed by the number of minutes:
[tex]\frac{3572w}{47m}\\\\= \frac{3572}{47}\frac{w}{m}\\\\= 76\frac{w}{m}\\\\[/tex]
Answer:
78 Words per minute
Step-by-step explanation:
Unit Rate = 3666 Words in 47 minutes
Unit Rate = 78 Words per minute
Need help please and thank you!!
9514 1404 393
Answer:
y = 6·2^x
Step-by-step explanation:
The general form can be written as ...
y = a·b^x
The value of 'a' is the value of y when x=0. That is 6.
The value of 'b' is the ratio of y-values when x differs by 1. b = 12/6 = 2.
So, the equation of interest is ...
y = 6·2^x
100 points for answer
As far as I can tell, your graph is correct.
If you look at the x-axis of the graph, you'll see that the graph crosses it when x is 0, 1, 2, 3, and 4. The asymptotes are halfway in between these points, so if you find the midpoints between each set of points, you'll get 0.5, 1.5, 2.5, and 3.5. These are your answers.
Step-by-step explanation:
The answer of this questions is 0.5,1.5,2.5,3.5PLEASE HELP! Will give brainliest! Worth 30 points!
9514 1404 393
Answer:
a) 102.4
b) 72.6
c) 87.5
Step-by-step explanation:
The average value of a function over an interval is the integral of that function over the interval, divided by the width of the interval.
(a) The summer average is ...
[tex]\text{summer average}=\displaystyle\dfrac{1}{(\frac{1}{4})}\int_\frac{1}{2}^\frac{3}{4}{T(x)}}\,dx=87.5+23.4\cdot\dfrac{2}{\pi}\approx 102.4[/tex]
__
(b) The winter average is similar:
[tex]\text{winter average}=87.5-23.4\cdot\dfrac{2}{\pi}\approx 72.6[/tex]
__
(c) The annual average is the value added to the cosine function: 87.5
_____
Additional comment
The integral of the cosine function over the period of interest is ...
∫cos(2πx)dx = 1/(2π)sin(2πx)
For the limits x=1/2 and x=3/4, this becomes 1/(2π)(-1 -0) = -1/(2π).
When multiplied by -23.4(1/(1/4)), we get +23.4(2/π).
the sum of 36 and 3c
Answer:
Step-by-step explanation:
just add 36 and 3
If two angles are supplementary do they form a straight angle ?
Answer:
Yes. A linear pair forms a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which means they are supplementary.
Sprinters who run 100 yards now often run 100 meters.
How many meters longer to the nearest tenth is 100 meters than 100 yards?
Answer:
100 meters is 8.6 meters longer than 100 yards.
Step-by-step explanation:
Conversion of yards to meters.
Each yard has 0.914 meters.
So 100 yards is 100*0.9144 = 91.4 meters.
How many meters longer to the nearest tenth is 100 meters than 100 yards?
100 yards = 91.4 meters
100 - 91.4 = 8.6
So 100 meters is 8.6 meters longer than 100 yards.