Answer:
a = 127°
Step-by-step explanation:
The 3 angles lie on a straight line and have a sum of 180°, that is
15° + a + 38° = 180°
53° + a = 180° ( subtract 53° from both sides )
a = 127°
2. Sheila can frame in a room in 5 hours. David can do the same job in 4 hours.
Working together, how long would it take them to frame in a room?
Answer:
4.5 hours
Step-by-step explanation:
to find the average/middle (how long it would take them when working together) you add both numbers and divide by two
4+5=9
9÷2= 4.5
hope this helps chu <3
The time take by them to the job together is 5 hours.
What is time taken?Time Taken = 1 / Rate of Work If a piece of work is done in x number of days, then the work done in one day = 1/x Total Wok Done = Number of Days × Efficiency.
Efficiency and Time are inversely proportional to each other.
Given that, Sheila can frame in a room in 5 hours. David can do the same job in 4 hours.
We need to find the time taken by them if they work together,
So, the total hours taken by Sheila = 5 hours
So, she will do the work in 1 hour = 1/5 parts
Similarly, for David also, he will do in 1 hour = 1/4
Now, when they are working together in hour = 1/4 + 1/5
= 4+5 / 45 = 9/45 = 1/5
Since, there work in 1 hour = 1/5 units
That mean, they will do the whole work in 5 hours.
Hence, the time take by them to the job together is 5 hours.
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At a middle school, 40% of seventh graders have taken
swimming lessons. If there are 250 studnets in the
seventh grade, how many of them have taken swimming
lessons?
Answer:
100
Step-by-step explanation:
y = % · x
y = 40% · 250
y = 0.40 · 250
y = 100
Translate the sentence into an inequality five substracted from the product of 8 and a number is at most 25 use the variable x for unknown number
Answer:
8x - 5 ≤ 25
Step-by-step explanation:
Given that the unknown number is x
product of 8 and a number is expressed as 8x
five substracted from the product of 8 and a number is expressed as 8x - 5
Since this expression is at most 25, the inequality sign that you are to use will be ≤ (less than or equal to) since it cannot be greater than 25. Hence the required inequality expression is 8x - 5 ≤ 25
HELP FAST: ( FOR 20 POINTS)
Louis says that the line shown on the scatter plot is a good line of fit for the data because there are two points that lie on the line. Is Louis correct? Explain your reasoning.
What do you want to be when you grow up? According to a nationwide survey of a random sample of 1000 kids under the age of 12 some kids want to be a ninja, a dragon keeper, a dancing unicom, and even an octopus. Fifty-five of the 1000 kids want to be a doctor. We would like to use this study to find a 98% confidence interval for the true proportion of kids who want to be a doctor.
a. Identify the parameter of interest.
b. Check if the conditions for constructing a confidence interval for p are met.
C. Find the critical value for a 98% confidence interval. Then calculate the interval
d. Interpret the interval in context
Using the z-distribution, we have that:
a) The parameter of interest is the proportion of kids who want to be a doctor.b) Since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.c) The critical value is [tex]z = 2.327[/tex]. The interval is (0.0339, 0.066).d) We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.Confidence interval of a proportionIn 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]\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 z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].Item a:
We are interested in the confidence interval for the true proportion of kids who want to be a doctor, hence the parameter of interest is the proportion of kids who want to be a doctor.
Item b:
Fifty-five of the 1000 kids want to be a doctor, hence, since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.
Item c:
Fifty-five of the 1000 kids want to be a doctor, hence [tex]n = 1000, \pi = \frac{55}{1000} = 0.055[/tex].98% confidence level, hence[tex]\alpha = 0.98[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.98}{2} = 0.99[/tex], so the critical value is [tex]z = 2.327[/tex].The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.0339[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.066[/tex]
The interval is (0.0339, 0.066).
Item d:
We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.
You can learn more about the use of the z-distribution to build a confidence interval at https://brainly.com/question/25649070
£250 in the ratio 3 : 5
Answer:
Let 3x and 2x are divided into 250.
Step-by-step explanation:
3x + 2x = 250
⇒ 5x = 250
⇒ x = = 50
∴ 3x = 3 × 50 = 150 and
2x = 2 × 50 = 100
Thus, the required numbers are 150 and 100.
Can someone help me please
Answer:9/40
Step-by-step explanation:
there is no use of hupotenuse as tanA = p/b
Eric bought two jars of peppers and six jars of pickles for $49. Andrew bought three jars of peppers and 5 jars of pickles for $47.50. Find the cost of a jar of pickles.
Answer:
one jar of pickles is $1.50, 49-47.50 =1.50
Step-by-step explanation:
Please help me with the question
Answer:
4p,q+r
4p(q+r)
4pq+4pr
What is the y-intercept of this line?
Answer:
(0, -3)
Step-by-step explanation:
because at that point is where the line crosses the y axis.
1 + 1 = ? help now please asap!
Question:
1 + 1 = ? help now please asap!
Answer:
1 + 1 = 2
hope this helps :)
I need help on this question, I don’t get it so if you could help me
I will really much appreciate it.
Answer:
C
Step-by-step explanation:
x+x-1-1-1-1-1-1-1 = -x-x-x+1+1+1+1+1+1+1+1+1
2x-7 = -3x +9
5x - 7 = 9
5x = 16
x = 16/5
x= 3⅕
x= 3.2
WILL GIVE BRAINLIEST Screen-printing a batch of shirts requires 4 minutes per shirt in addition to 10 minutes of initial set-up time. How long does it take to screen-print a batch of 17 shirts?
Me das mas información porfavor?
The school band booster club runs a concession stand for home football games. They sell beverages for $1.50 and candy for $1.25. Their goal is to raise $375 for each game.
Write an equation that is a model for the different numbers of beverages and candy that can be sold to meet the goal.
1.25x + y = 375
x + y = 375
1.50x.- 1.25y = 375
1.50x +1.25y = 375
Answer:
1.50x + 1.25y = 375
Step-by-step explanation:
x = beverages
y = candy
1.50x + 1.25y = 375
The equation that can be used to model the different numbers of beverages and candy that can be sold to meet the goal is 1.50x+1.25y=375.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of beverages sold be x, while the number of candies sold is y.
Given that the selling price of a beverage is $1.50, while the selling price of candy is $1.25. Also, the total amount that is needed to be raised is $375. Therefore, the total cost can be written as,
[tex](\$1.50 \times x)+ (\$1.25 \times y) = \$375\\\\1.50x+1.25y=375[/tex]
Hence, the equation that can be used to model the different numbers of beverages and candy that can be sold to meet the goal is 1.50x+1.25y=375.
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The sanctuary takes out a $12,500 loan to renovate its gift shop. At 5%
simple interest, how much would the sanctuary need to pay back in total after 10 years?
Answer:
20361.18283
Step-by-step explanation:
p(1+r/100)n
12500(1+5/100)power 10
i hope this answer helps a little bit.
Element X decays radioactively with a half life of 8 minutes. If there are 480 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 14 grams?
y=a(.5)
Answer:
40.8 minutes
Step-by-step explanation:
Element X decays radioactively with a half life of 8 minutes. If there are 480 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 14 grams?
The formula to find how long it would take which is the time elapsed is given as:
t = t½ × In(Nt/No)/-In2
t = ?
t½ = 8 minutes
Nt = Amount after the time of decay = 14 grams
No = Original Amount of substances = 480 grams
t = 8 × In(14/480)/-In2
t = 40.796285388407 minutes
Approximately to the nearest tenth = 40.8 minutes
Therefore, it would take the element X, 40.8 minutes to decay to 14 grams
How does h(t) change over the interval from t=0 to t 1
Answer:
h(-1)=-3 h(2)=12 average age of change =12-(-3)2
Step-by-step explanation:
What is the length of line AD?
1
Step-by-step explanation:
i am very beautiful yes i know it
14. Solve for x.
110°
(8x - 1)
(5x + 36)
(6x-2)
(7x + 19)
116°
The value of x in the hexagon is 17.
How to find the angle of a hexagon?A hexagon is a polygon with six sides. The sum of angles in a hexagon is 720 degrees.
Therefore, x can be found in the hexagon as follows:
we have to sum the whole angles to get x.
110 + 8x - 1 + 5x + 36 + 116 7x + 19 + 6x - 2 + 110 = 720
combine like terms
110 + 116 - 2 + 36 - 1 + 19 + 8x + 5x + 7x + 6x = 720
278 + 26x = 720
subtract 278 from both sides of the equation
278 + 26x = 720
278 - 278 + 26x = 720 - 278
26x = 442
divide both sides by 26
x = 442 / 26
x = 17
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Lauren woke up one morning and saw frost on the windows. It was -13°C outside. Later in the day, the frost melted. At 3 p.m. it was 4°C outside. Which expression represents the difference between the two temperatures?
Answer:
morning = -13°C
afternoon = 4°C
so,
x = (morning - afternoon)
I hope this helps a little bit.
What is the value of x rounded to the nearest hundredth?
ps this is a pythlly therom
Question 2 options:
68
92
54
75
Step-by-step explanation:
60x60+32x32=4624
✓4624
68
Find the axis of symmetry. Question in pic. PLEASE HELP
Answer:
axis of symmetry is x = 1; vertex is (1,8)
The length of a plane is 18.4 metres Lucas buys a scale model plane The scale of the plane is 1 : 23
Answer:
423.2 is the length of the scale copy
Step-by-step explanation:
18.4 * 23 = 423.2 hope this helps!
Simplify the expression.
30 - 7m + 5 + 16m
Answer:
[tex]35 + 9m[/tex]
Step-by-step explanation:
1) Collect like terms.
[tex](30 + 5) + ( - 7m + 16m)[/tex]
2) Simplify.
[tex]35 + 9m[/tex]
Therefor, the answer is 35 + 9m.
Miguel is building a picture frame for his friend who has painted a family portrait. Miguel is making a square frame for the painting. He purchased a 3 foot
pine board to build the frame. He used 21 inches of the board to make the frame. How much wood would be used to create 1 side of the frame?
Need the answer asap !
Note: This question needs practical measurements so I am going to use my clock at home. Otherwise, you can measure the clock at your house and work out.
the diameter of the clock= 30 cm
the radius of the clock= 15 cm
(a) the area of the clock is
[tex]\pi r^{2} = 3.14 \times 15^{2} = 706.5 \: cm^{2} [/tex]
(b) The length of the minute hand covered in one hour is equal to the circumference of the clock.
The circumference of the clock is
[tex]2\pi \times radius = 2 \times 3.14 \times 15 = 94.2 \: cm[/tex]
how many terms are there in the expression:
4х +7+ бр
Answer:
there are 3
Step-by-step explanation:
4, 7, and 6
2. Write 6.07 x 10^7 in standard form
Please help me .
Answer:
60,700,000
Step-by-step explanation:
⇒10⁷ = 10000000
∴6.07 x10000000
=60,700,000
Help me please thanks
Answer:
5/6
Step-by-step explanation:
(-6 - 4) / (3 * -4) [substitute a and b]
-10 / -12 [multiply the values in parenthesis]
5 / 6 [simplify by dividing by the common factor 2]
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
[tex]\frac{b+a}{3a} \\\\\frac{-6-4}{3(-4)} \\\\\frac{-10}{-12} \\\\\frac{5}{6}[/tex]
If m∠T = (2x + 85) °, m∠V = (5x + 29) °, and the sum of the measures of the angles is 93 ° , find the measure of each angle.
Answer: 79 and 14
X would be -3 because (2 x -3 + 85) is 79 and doing it for (5x + 29) would get 14.