Answer:
7 seconds that Hannah runs on the side walk
Step-by-step explanation:
let's A is the second that Hannah runs on the side walk.
and B is the second that Hannah runss on the cross street. Base on the information we have 2 equations for 2 unknowns .
A + B = 12
16 A + 3 B = 127 simply to add/subtract column we have
=> 16A + 3B = 127 (1)
3A + 3B = 36 (2) runs on the side walk.
And 12-7 =5 seconds is the time that Hannah runs on the cross street.
Hannah spend 7 seconds for running on the sidewalk.
Here,
Hannah runs down the street to catch her bus.
She runs for a total of 12 seconds.
On the sidewalk, she runs 16 feet per second. When she crosses the street, she runs 3 feet per second.
Hannah runs a total distance of 127 feet.
We have to find, How many seconds did Hannah spend running on the sidewalk.
What is Linear equation in two variables?
Linear equations in two variables is defined as, If a, b, and r are real numbers then ax + by = r is called a linear equations in two variables.
Now,
Let X is the second that Hannah spend running on the sidewalk.
And, Y is the second that Hannah runes on the cross the street.
Since, She runs for a total of 12 seconds.
⇒ X + Y = 12 .... (i)
And, On the sidewalk, she runs 16 feet per second. When she crosses the street, she runs 3 feet per second and Hannah runs a total distance of 127 feet.
⇒ 16 X + 3 Y = 127 ....(ii)
By solving equation (i) and (ii), we get;
⇒ X = 7 and Y = 5
Hence, Hannah spend 7 seconds for running on the sidewalk.
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(5b + 16)
(b + 32)°
What is the value of b ?
b =
Answer:
b = -8
Step-by-step explanation:
To determine the value of b, we can use the factoring method. We can factor the expression
(5b + 16)(b + 32) as (b + 8)(5b + 16).
Setting each factor to 0, we get b + 8 = 0 and 5b + 16 = 0.
Solving for b in the first equation, we get b = -8.
Substituting this value into the second equation, we get 5(-8) + 16 = 0, which simplifies to -40 + 16 = 0.
This equation is true only when the value of b is -8. Therefore, the value of b is -8.
please help me with this
Answer:
.38 or 38%
Step-by-step explanation:
I divided 44 by 116 then rounded
Answer: 38% of boys play an instrument.
Step-by-step explanation:
They are asking for the percentage of boys that play an instrument.
44 ÷ 116 = 0.379310...
Round to the nearest hundredth
0.38
Find the percentage
0.38 × 100 = 38 or 38%
A survey of businesses in a particular state found that out of 150 surveyed, 51 were owned by women. We want to estimate the true proportion of businesses owned by women.
Construct a 95% confidence interval. Round your answers to 4 decimal places.
Answer:
The 95% confidence interval for the true proportion of businesses owned by women is (0.2763, 0.4037).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A survey of businesses in a particular state found that out of 150 surveyed, 51 were owned by women.
This means that [tex]n = 150, \pi = \frac{51}{150} = 0.34[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.34 - 1.96\sqrt{\frac{0.34*0.66}{150}} = 0.2763[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.34 + 1.96\sqrt{\frac{0.34*0.66}{150}} = 0.4037[/tex]
The 95% confidence interval for the true proportion of businesses owned by women is (0.2763, 0.4037).
Pls help! Step by step
Answer:
x = 55
Step-by-step explanation:
Since the sides of the shape are parallel, AngleC and AngleD will add up to 180° (see "parallel lines cut by a transversal" or maybe you have learned a big pile of parallelogram theorems)
Use this relationship to set up an equation.
2x + 20 + 50 = 180
combine like terms
2x + 70 = 180
subtract 70
2x = 110
divide by 2
x = 110/2
x = 55
x is 55
Answer:
The value of x is 55°
Step-by-step explanation:
GivienTwo adjacent angles of a parallelogram are (2x + 20)° and 50° respectivelySince we know that opposite angles of a parallelogram are equal
m∠C = m∠B = (2x + 20)°m∠D = m∠A = 50°The sum of any two adjacent angles is supplementary. This means, ∠A + ∠B = 180°, ∠B + ∠C = 180°, ∠C + ∠D = 180°, and ∠D + ∠A = 180.
So,
∠C + ∠D = 180°
(2x + 20)° + 50° = 180°
2x + 70° = 180°
2x + 70° - 70° = 180° - 70°
2x = 110°
2x/2 = 110°
x = 55°
Thus, The value of x is 55°
please help i dont know how to do this
Answer:
1. a quantity that stands alone and is not changed by other quantities. most often x variable.
2. a quantity that changes depending on another quantity, as a result of the rule. most often the y variable
Step-by-step explanation:
Answer: A quantity that stands alone and is not changed by other quantities most often X variable.
A quantity that changes depending on another quantity, as a result of the rule most often Y variable.
Can someone please help me with this question? I’m so confused!
1/x^7
Step-by-step explanation:
To the 7th power is positive. It's the first one.
Hope this helps, have a good day!
it is A because X is unknown u can put 0 as a denominator so it 1 the X is still unknown and your exponents are 0
44x46 ayuda plssss speak spanish plssssss
Answer:2024
Step-by-step explanation: 44x46
How many solutions does the nonlinear system of equations graphed below
have?
A. Four
B. Two
C. Zero
D. One
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, the angle of depression to the boat is 19° 14'. When the boat stops, the angle of depression is 54° 12'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round to the nearest foot.
A. 474ft
B. 414 ft
C.452 ft
D.429 ft
Answer:
answer in link
Step-by-step explanation
alekscgi/x/Isl.exe
find the eighth term of the sequence 1/3, -1, 3, -9, ..
Answer:
-729
Step-by-step explanation:
sequence is to multiply by -3 to get next term
I WILL GIVE BRAINLIST
The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Use 3.14 for 10,
Round to the nearest whole number,
14 in
14 in.
15 in
Suom
Save and Exit
thandro
The product of all of the solutions of (4x + 2k)(2 -5x ) = 0 is (−15). Find k.
Answer:
k = 75------------------------------
Given equation:
(4x + 2k)(2 - 5x) = 0Its solutions are:
4x + 2k = 0 and 2 - 5x = 04x = - 2k and 2 = 5xx = - 0.5k and x = 0.4The product of the solutions is -15:
- 0.5k * 0.4 = - 15- 0.2k = - 15k = - 15/- 0.2k = 75(Pythagorean Theorem and the Coordinate Plane MC)
Determine the perimeter of the right triangle shown
O 10 units
O 24 units
O 36 units
O 64 units
Answer:
A
Step-by-step explanation:
refer the sketch for step by step answer
how do you know if there is an elephant in your fridge?
Answer:
you'll know bc your fridge will be broken
Step-by-step explanation:
Answer:
When there is footprints in the butter.
Step-by-step explanation:
Kate has a coin collection. She keeps 7 of the coins in a box, which is only 5% of her entire collection. What is the total number of coins in Kate's coin collection?
Answer:
140
Step-by-step explanation:
7/.05 -140
please help me ASAP!!! could someone help me do my geometry?
Answer:
9. m(YZ) = 102°
10. m(JKL) = 192°
11. m<GHF = 75°
Step-by-step explanation:
9. First, find the value of x
4x + 3 = 3x + 15 (inscribed angle that are subtended by the same arc are equal based on the inscribed angle theorem)
Collect like terms
4x - 3x = -3 + 15
x = 12
4x + 3 = ½(m(YZ)) (inscribed angle of a circle = ½ the measure of the intercepted arc)
Plug in the value of x
4(12) + 3 = ½(m(YZ))
48 + 3 = ½(m(YZ))
51 = ½(m(YZ))
Multiply both sides by 2
51*2 = m(YZ)
102 = m(YZ)
m(YZ) = 102°
10. First, find the value of x.
7x + 5 + 6x + 6 = 180° (opposite angles in an inscribed quadrilateral are supplementary)
Add like terms
13x + 11 = 180
13x = 180 - 11
13x = 169
x = 169/13
x = 13
7x + 5 = ½(m(JKL)) (inscribed angle of a circle = ½ the measure of the intercepted arc)
Plug in the value of x
7(13) + 5 = ½(m(JKL))
96 = ½(m(JKL))
Multiply both sides by 2
2*96 = m(JKL)
m(JKL) = 192°
11. First, find x.
5x + 15 = ½(11x + 18) (inscribed angle of a circle = ½ the measure of the intercepted arc)
Multiply both sides by 2
2(5x + 15) = 11x + 18
10x + 30 = 11x + 18
Collect like terms
10x - 11x = -30 + 18
-x = -12
Divide both sides by -1
x = 12
m<GHF = 5x + 15
Plug in the value of x
m<GHF = 5(12) + 15
m<GHF = 60 + 15
m<GHF = 75°
A study is conducted to determine the extent to which drinking alcohol impairs driving ability. Forty volunteers are each tested twice on a computer simulated driving course, once while sober and once while intoxicated. The tests took place over two days and the order of the treatments were randomly assigned to each volunteer. One of the variables measured is the response time (in seconds) to a certain stimuli. The mean difference in response times measured while intoxicated versus sober is 0.914 seconds with standard deviation 1.496 seconds. Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.
Answer: hello the list related to your question is missing hence i will give you a general answer that will enable to pick the correct option from the list you have.
answer :
The correct number from the list that corresponds to the null hypothesis will be a number ≥ P - value / critical value
The correct number form the list that corresponds to the alternate hypothesis will be a number ≤ P - value / critical value
Step-by-step explanation:
Determine the null and alternative hypothesis
Mean difference = 0.914
standard deviation = 1.496
duration of test = 2 days
n ( sample size ) = 40
assuming 99% confidence interval
critical value = 2.708 ( using excel function : TINV (0.01, 40 - 1 ) )
Given that the aim of the experiment is to determine the effect of alcohol on driving ability
H0 : μ : Impairs driving
Ha : μ : does not impair driving
Note :
when the P-value is ≤ significance level we reject the Null hypothesis
while when the P-value is ≥ significance level we reject the alternate hypothesis
The correct number from the list that corresponds to the null hypothesis will be a number ≥ P - value / critical value
The correct number form the list that corresponds to the alternate hypothesis will be a number ≤ P - value / critical value
What is the domain of f(x)=[1/2]*
Here we need to find the domain of the given function.
We will see that the domain is the set of all real numbers.
The first thing we need to do is to define the domain of a function.
For a given function f(x), we define the domain as the set of possible inputs that we can use on the function.
Usually, we start by defining the domain as the set of all real numbers and then remove from the domain the numbers that cause "a problem" with our function.
Where these "problems" are undefined operations, like the logarithm of a negative number or a zero in a denominator.
Particularly, in our function: f(x) = (1/2)^x
We do not have a denominator that can become zero nor a function that has problems with some given values of x (the exponent of a number can be any real number).
Concluding, because there is no problem with any real value, we can see that the domain is the set of all real numbers
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To plan for retirement, Deandre deposits $ 318 each quarter in an annuity that pays 7.6 %% interest, compounded quarterly. Payments will be made at the end of each quarter. Find the total value of the annuity in 27 years, Do not round any intermediate computations, and round your final answer to the nearest cent. If necessary, refer to the Bst of financial formalas
Answer: 1040
Step-by-step explanation:
just took 65 and mutiply 65$
The sum of three consecutive even numbers is 312. What is the value of the
smallest number?
Answer: 102
Step-by-step explanation:
Let the numbers be a, a+2 and a+4. Since the sum of three consecutive even numbers is 312, this will be:
a + a+2 + a+4 = 312
3a + 6 = 312
3a = 312 - 6
3a = 306
a= 306/3
a = 102
Therefore, the smallest number is 102.
Other numbers are 104 and 106.
Benjamin and Felix are 35 miles apart. At 3:00pm they start jogging towards each other. Benjamin jogs at a pace of 16 minutes per mile. Felix jogs at a pace of 10 minutes per mile. how many miles will Benjamin jog in 45 minutes
Using division operation, since Benjamin jogs at a pace of 16 minutes per mile, in 45 minutes he will jog 2.8 miles.
What is the division operation?The division operation is one of the basic mathematical operations, including addition, subtraction, and multiplication.
The division operation involves dividing the dividend (the numerator) by the divisor (the denominator) to obtain the quotient (the result).
The distance between Benjamin and Felix = 35 miles
Benjamin's jogging pace or speed = 16 minutes per mile
Felix's jogging pace or speed = 10 minutes per mile
The number of miles that Benjamin can jog in 45 minutes = Time/Speed
= 2.8125 miles (45/16)
Thus, Benjamin will jog 2.8 miles in 45 minutes.
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This line plot shows how many miles Monique rode her bike this week.
Answer:
151
Step-by-step explanation:
Answer:
152 miles
Step-by-step explanation:
There are 2 Xs above 20 1/2, so she rode that distance twice. There are 3 Xs above 22 1/2, so she rode that distance three times. The other distances with Xs she only did once. We add up the distances for each X to get the total:
20.5 + 20.5 + 21.5 + 22 + 22.5 + 22.5 + 22.5 = 152 miles
Find the length of b to the nearest tenth using the Pythagorean theorem
Answer:
11.2
Step-by-step explanation:
We can use the pythagorean theorem to find b.
the formula is as follows:
a^2 + b^2 = c^2
We are given a is 10 and c is 15, so we can plug those two numbers in:
10^2 + b^2 = 15^2
Now, we can simplify and solve:
100 + b^2 = 225
b^2 = 125
b = √125
√125 is about 11.1803398875, and to the nearest tenth, this rounds to:
11.2
Write an equation in standard form of the line that passes through the point and has the
given slope.(-2, 4); m = -6
O None of the other answers are correct
Oy - 6x = 8
O 6x + y = -8
Oy - 6x = -8
O 6x - y = 8
Answer:
6x + y = -8
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
m = -6
So
[tex]y = -6x + b[/tex]
(-2, 4)
This means that when [tex]x = -2, y = 4[/tex]. We use this to find b.
[tex]y = -6x + b[/tex]
[tex]4 = -6(-2) + b[/tex]
[tex]b = 4 - 12 = -8[/tex]
So
[tex]y = -6x + -8[/tex]
[tex]6x + y = -8[/tex]
Plzz help me well mark brainliest if you are correct!!..
Answer:
I usually turn the fractions into a decimal. So it would turn into
.666 < x< .777
When you turn your answers into fractions, the only one that fits is C which is 3/4 or .75
Step-by-step explanation:
Write an expression for "b divided by 6."
A company bought New Year's greeting cards to send to its valued customers. Sixty of the cards they sent cost $2.30 each. Thirty of the cards cost $2.75 each The remaining 34 cards cost $1.95 each. What was the total amount spent on these cards?
Answer:
$287.82
Step-by-step explanation:
60 * 2.30 = 138
30 * 2.75 = 82.5
34 * 1.98 = 67.32
138 + 82.5 + 67.32 = 287.82
Help please look at picture^^
Answer:
254.47
Step-by-step explanation:
A= 3.14 x r²
A = 3.14 x 9
A = 254.47
Hope this helps
Answer
254.3—- rounded
A= Pi times r squared - this is formula for area of circle
area= 3.14 Times 9 squared
3.14 times 81
254.3
make sure to substitute values!
I hope this helps!
Find the slope of the line that passes through (4, 10) and (1, 11).
Answer:
-1/3
Step-by-step explanation:
Solve equation2/3*2/3*2/3*2/3=
Answer:
16/81
Step-by-step explanation:
Same as (2/3)^4