Answer:
1 and 2/3 tasks
Step-by-step explanation:
a) A robot can complete 7 tasks in 3/5 hours.
This means ;
7 tasks = 3/5 hours
1 task = ?
perform cross- multiplication as;
{1*3/5} /7
3/35 hours
b)
3/5 hours = 1 task
1 hour = ?
{1*1} / 3/5
1 / 3/5
1 * 5/3
1 and 2/3 tasks
While visiting Crimson lake, Sally decided to go kayaking. The rangers charge $8.50 per hour in addition to a $25 deposit to rent the kayak. If she rented the kayak from 11:30 am to 2:30 pm, write and solve a linear equation to find the total cost to rent the kayak.
Answer:
50.50$
Step-by-step explanation:
8.5x+25
x is the hours
8.5(3)+25= 50.50
40% of students have brown eyes 10 have brown eyes how many atudents in the class
Answer:
25
Step-by-step explanation:
40%x = 10
40/100 x=10
x=10* 100/40
x = 25
Consider a collection of envelopes consisting of 3 red , 3 blue , 1 green , and 2yellow . If three envelopes are selected at random, without replacement, determine the probability that at least one envelope is a red envelope.
Answer:
The probability is 31/35
Step-by-step explanation:
What is the solution to this linear equation?
4b + 6 = 2 - b + 4
b = 0
To solve make b the subject so:
4b + 6 = 2 - b + 4
5b + 6 = 6
5b = 0
5 = 0/5
= 0
please solve ill give you brainliest
Answer:
Step-by-step explanation:
What is 1.3 in improper fraction form
Which statement BEST describes how muscles respond to weight training? A. Weight training stretches the muscles' limits and makes the muscles longer. B. Weight training pushes the muscles' abilities, making the muscles gain endurance. C. Weight training stimulates the muscles and causes the muscle fibers to sit closer together. D. Weight training overloads muscles, which causes the body to respond by making muscle fibers larger. Please select the best answer from the choices provided. A B C D
Answer:B
Step-by-step explanation:
The statement that best describes how muscles respond to weight training is:
Weight training overloads muscles, which causes the body to respond by making muscle fibers larger.
Option D is the correct answer.
What is weight training?Weight training, also known as resistance training, involves performing exercises that place a load or resistance on the muscles.
This load creates small tears or damage to the muscle fibers, which the body then repairs and adapts to by making the muscle fibers larger and stronger.
We have,
Option A:
Weight training stretches the muscles' limits and makes the muscles longer, which is not an accurate description of how muscles respond to weight training.
While stretching exercises can increase muscle flexibility, weight training typically does not cause the muscles to become longer.
Option B
Weight training pushes the muscles' abilities, making the muscles gain endurance, which is partially true.
Weight training can increase muscle endurance by strengthening the muscles, but the primary response of the muscles to weight training is hypertrophy, not increased endurance.
Option C:
Weight training stimulates the muscles and causes the muscle fibers to sit closer together, which is not an accurate description of how muscles respond to weight training.
While weight training does stimulate the muscles, it does not cause the muscle fibers to sit closer together.
Thus,
Weight training overloads muscles, which causes the body to respond by making muscle fibers larger.
Learn more about weight training here:
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What is 56(cos(33°) + i sin(33°)) ÷ 7(cos(11°) + i sin(11°))?
8(cos(3°) + i sin(3°))
49(cos(3°) + i sin(3°))
8(cos(22°) + i sin(22°))
49(cos(22°) + i sin(22°))
C. <3
pls give brainlyist
[tex]56(cos(33^{\circ}) + i sin(33^{\circ})) \div 7(cos(11^{\circ}) + i sin(11^{\circ}))\\\\=8(cos(22^{\circ}) + i~ sin(22^{\circ}))[/tex]
What is complex number?"The number of the form a + ib, where a, b are real numbers and [tex]i=\sqrt{-1}[/tex]"
What is De Moivre's theorem?"This theorem gives a formula for computing powers of complex numbers.
[tex](r(cos\theta+i~sin\theta))^n=r^n~(cos(n\theta)+i~sin(n\theta))[/tex] "
For given question,
We need to divide two complex numbers.
[tex]56(cos(33^{\circ}) + i sin(33^{\circ})) \div 7(cos(11^{\circ}) + i sin(11^{\circ}))[/tex]
Consider,
[tex]56(cos(33^{\circ}) + i~ sin(33^{\circ})) \div 7(cos(11^{\circ}) + i ~sin(11^{\circ}))\\\\=8[(cos(33^{\circ}) + i~ sin(33^{\circ})) \div (cos(11^{\circ}) + i ~sin(11^{\circ}))][/tex] ...........(i)
Consider the first complex number.
[tex](cos(33^{\circ}) + i sin(33^{\circ}))[/tex]
We can write this complex number as,
[tex]cos(3(11^{\circ}) )+ i sin(3(11^{\circ}))[/tex]
By De Moivre's theorem,
[tex]cos(3(11^{\circ}) )+ i~ sin(3(11^{\circ}))\\\\=(cos(11^{\circ})+ i~ sin(11^{\circ}))^3[/tex]
Substitute this value in (i),
[tex]56(cos(33^{\circ}) + i~ sin(33^{\circ})) \div 7(cos(11^{\circ}) + i ~sin(11^{\circ}))\\\\=8[(cos(33^{\circ}) + i~ sin(33^{\circ})) \div (cos(11^{\circ}) + i ~sin(11^{\circ}))]\\\\=8[(cos(11^{\circ}) + i~ sin(11^{\circ}))^3 \div 7(cos(11^{\circ}) + i~ sin(11^{\circ}))]\\\\=8[(cos(11^{\circ}) + i~ sin(11^{\circ}))^2]\\\\=8[(cos(2\times 11^{\circ}) + i~ sin(2\times 11^{\circ}))]~~~~~~~~~.............(De~Moivre's~theorem )\\\\=8(cos(22^{\circ}) + i~ sin(22^{\circ}))[/tex]
Therefore, [tex]56(cos(33^{\circ}) + i sin(33^{\circ})) \div 7(cos(11^{\circ}) + i sin(11^{\circ}))[/tex] is [tex]8(cos(22^{\circ}) + i~ sin(22^{\circ}))[/tex]
Learn more about the De Moivre's theorem here:
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x^2 + 10x + 12
please help!!
Answer:
This cannot be simplified any further. That is the simplest you'll get.
What is the value of a + 4b / a + b if a = -4, b = 3
Answer:- 8
Step-by-step explanation:
-4 + 4(3)/ -4+3
-4 +12 / -1
8/-1
Assume that 25% of all households in Santa Clara county have a burglar alarm (population characteristic). A random sample of 200 Santa Clara county households is taken. What is the probability that between 20% (0.2) to 30% (0.3) of the households in the sample have a burglar alarm
Answer:
The probability is [tex]P( 0.2 < p < 0.3) = 0.89751[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.25
The sample size is n = 200
Generally given that the sample size is large the mean of this sampling distribution is mathematically represented as [tex]\mu_{x} = p = 0.25[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{ \frac{ p (1- p ) }{n} }[/tex]
=> [tex]\sigma = \sqrt{ \frac{ 0.25(1- 0.25 ) }{200} }[/tex]
=> [tex]\sigma = 0.03062[/tex]
Generally the probability that between 20% (0.2) to 30% (0.3) of the households in the sample have a burglar alarm is mathematically represented as
[tex]P( 0.2 < p < 0.3) = P(\frac{ 0.2 - 0.25}{ 0.03062 } < \frac{p- \mu_{x}}{\sigma } < \frac{ 0.2 - 0.25}{ 0.03062 } )[/tex]
[tex]\frac{p -\mu}{\sigma } = Z (The \ standardized \ value\ of \ p )[/tex]
=> [tex]P( 0.2 < p < 0.3) = P(-1.6329 < Z <1.6329 )[/tex]
=> [tex]P( 0.2 < p < 0.3) = P( Z< 1.6329) - P( Z <- 1.6329 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1.6329 and -1.6329 is
[tex]P( Z< 1.6329) = 0.94875[/tex]
and
[tex]P( Z <- 1.6329 ) = 0.051245[/tex]
So
[tex]P( 0.2 < p < 0.3) = 0.94875 - 0.051245[/tex]
=> [tex]P( 0.2 < p < 0.3) = 0.89751[/tex]
Rewrite
6 3/4
as an improper fraction.
Answer:
27/4
Step-by-step explanation:
To find the answer, all you would need to do is multiply the denominator by the whole number and add the numerator. And so if you multiply the denominator (4) by the whole number (6) , and add the numerator (3) , you will get the answer: 27/4
Answer:
27/4
Step-by-step explanation:
6*4=24
24+3=27
∣−7∣ PLEASE HELP I HAVE 2 MINS TO GO
Answer:
The absolute value is 7.
Step-by-step explanation:
Because when a number has two lines between it you always make it positive.
Answer:
7
Step-by-step explanation:
|-7| means to switch it a positive and not a negative so |-7|=7
I need help solving these
Answer:
m∠1 = 140°
m∠2 = 40°
m∠3 = 65°
m∠4 = 75°
m∠5 = 115°
Step-by-step explanation:
We will use a few different methods to find the angles:
A triangle's angles will always add up to 180°. With this information, we can find the last angle of the triangle on the left:
∠1+∠2+∠3=180°
60+80+∠3=180°
Let x represent the value of ∠3. Simplify addition:
[tex]140+x=180[/tex]
Subtract 140 from both sides:
[tex]140-140+x=180-140\\\\x=40[/tex]
The unknown angle is 40°. With this information, we can find the
m∠1:
m∠1 and the 40° we just found are supplementary angles, which means that their measures will add up to a total of 180°.
∠1+∠2=180°
Insert the value we know:
40°+∠2=180
Let x represent the value of ∠2. Subtract 40 from both sides:
[tex]40-40+x=180-40\\\\x=140[/tex]
There fore:
m∠1=140°
We can use this same rule to find the m∠2:
∠1+∠2=180°
or, we can use the vertical angles rule. The first angle we found (Which is 40°) is a vertical angle to m∠2, so they have the same value. Therefore:
m∠2=40°
To find m∠3, we need to find the other missing angle in the middle triangle. Use the supplementary angle rule, since the missing angle is supplementary to the angle that is 105°:
∠1+∠2=180°
Insert the known values, substituting x for the unknown angle:
[tex]x+105=180[/tex]
Subtract 105 from both sides:
[tex]x+105-105=180-105\\\\x=75[/tex]
The unknown angle is 75°. Now find m∠3, knowing that triangles add up to 180°:
m∠2+m∠3+75=180
Insert the m∠2, make m∠3 be x:
[tex]40+x+75=180[/tex]
Simplify addition:
[tex]115+x=180[/tex]
Subtract 115 from both sides:
[tex]115-115+x=180-115\\\\x=65[/tex]
Therefore:
m∠3=65°
To find m∠4, use the vertical angle rule.
Therefore:
m∠4=75°
To find m∠5, we could find all triangle measures of the least triangle, or we can use the following:
An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees.
The m∠5 is the exterior angle, and the opposite interior angles are 75° and 40°:
[tex]75+40=115[/tex]
Therefore:
m∠5=115°
:Done
What is the solution to the system of equations graphed below
(2,-3)
(-3,2)
(-2,3)
(3,-2)
Answer: The answer will be (2,-3) it’s 2 to the right and 3 down.
Step-by-step explanation: yay
There are 45 students who play a woodwind instrument in the school band. Of these, 18 play the saxophone. What percent of the woodwind musicians play the saxophone?
lim of x goes to a x minus a divided by the square root of x minus square root of a
A. negative 2 times the square root of a
B. 2 times the square root of a
C. the square root of a
D. 2a
Answer:
i know a nice song it's called hi guy. you are cool and smart
Step-by-step explanation:
you should take a bath everyday
Which is the slope of the line that passes through the points (-2, 4) and
(5, -1)?
(03.07)
Solve x2 + 6x + 4 = 0. (1 point)
Answer:
x = -0.5
Step-by-step explanation:
tyson multiplies 75 by 1.15,which number might tyson trying to find
Answer:
115% of 75
Step-by-step explanation:
Solve the equation. 2 + |t+ 6| = 12
Answer:
t = 4 or t = -16
Step-by-step explanation:
Let's solve your equation step-by-step.
2+|t+6|=12
|t+6|+2=12
Step 1: Add -2 to both sides.
|t+6|+2+−2=12+−2
|t+6|=10
Step 2: Solve Absolute Value.
|t+6|=10
We know eithert+6=10 or t+6=−10
t+6=10(Possibility 1)
t+6−6=10−6(Subtract 6 from both sides)
t=4
t+6=−10(Possibility 2)
t+6−6=−10−6(Subtract 6 from both sides)
t=−16
What is an equation of the line that passes through the points (6, -7)(6,−7) and (-6, 3)(−6,3)? Put your answer in fully reduced form.
Given:
A line passes through the points (6,-7) and (-6,3).
To find:
The equation of line.
Solution:
If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through the points (6,-7) and (-6,3). So, the equation of line is
[tex]y-(-7)=\dfrac{3-(-7)}{-6-6}(x-6)[/tex]
[tex]y+7=\dfrac{3+7}{-12}(x-6)[/tex]
[tex]y+7=\dfrac{10}{-12}(x-6)[/tex]
[tex]y+7=-\dfrac{5}{6}(x-6)[/tex]
Using distributive property, we get
[tex]y+7=-\dfrac{5}{6}(x)-\dfrac{5}{6}(-6)[/tex]
[tex]y+7=-\dfrac{5}{6}x+5[/tex]
Subtract 7 from both sides.
[tex]y=-\dfrac{5}{6}x+5-7[/tex]
[tex]y=-\dfrac{5}{6}x-2[/tex]
Therefore, the equation of line is [tex]y=-\dfrac{5}{6}x-2[/tex].
The ratio 124:111 is a blank comparison
Answer:
part to part
Step-by-step explanation:
Answer:person abov me
Step-by-step explanation:
how many grams in 1.7x 10^7 ug
Answer:
17 grams
Step-by-step explanation:
Suppose commute times in a large city are normally distributed and that 63.70% of commuters in this city take more than 22 minutes to commute one-way. If the standard deviation of such commutes is 6.3 minutes, what is the mean commute?
Answer:
The mean is 24.205
Step-by-step explanation:
Firstly, we need to get the z-score
From the question, the probability we have is the probability that commuters take more than 22 minutes to commute one-way
So the probability we had was;
P( x > 22)
So we need the z-score corresponding to 63.70% or simply 0.637
We can use the standard normal distribution table to get this
Mathematically, from the standard normal distribution table this is -0.35
z-score = (x- mean)/SD
-0.35 = (22-mean)/6.3
22-mean = -2.205
mean = 22 + 2.205 = 24.205
factor of 48, factor of 32, The greatest number is stuffed animals you can have in a roll is?
Answer:
16
Step-by-step explanation:
586 : 18 =? Write your answer as a whole number and remainder. R Stuck? Watch a video or use a hint.
Answer:
39 R 10
Step-by-step explanation:
18 goes into 586 evenly 32 times, but there is 10 left over, making that the remainder.
What is meant by the term observed frequencies (O)?
a. The frequencies found in the population
b. The frequencies that are hypothesized for the population being examined
c. The frequencies calculated from the null hypothesis
d. The frequencies found in the sample
Answer:
The term observed frequencies are found in the sample.Hence, option 'd' is correct.
Step-by-step explanation:
Unlike the expected frequency which is obtained based on prediction, the observed frequency is the actual frequency that is determined from the experiment.
Therefore, we conclude that
The term observed frequencies are found in the sample.Hence, option 'd' is correct.
Multiplying a number by 2 two and then dividing by 3 is the same as multiplying by what number?
Answer:
2/3
Step-by-step explanation:
Let x be number
Multiply by 2 = x * 2
Now, divide by 3 = 2x ÷ 3 = [tex]\frac{2x}{3}[/tex]
So, this is same as multiplying 'x' by [tex]\frac{2}{3}[/tex]
What is 7-2x when x= -3
Step-by-step explanation:
When x=-3
7-2(-3)=7-(-6)
=7+6
=13