Step-by-step explanation:
Boys
[tex]20 + (20 \div 100)30 = \\ = 20 + 0.2 \times 30 = \\ = 20 + 6 = \\26[/tex]
Girls
[tex]26 - (26 \div 100)15 = \\ = 26 - 0.26 \times 15 = \\ = 26 - 3.9 = \\ = 22[/tex]
Total last year 46
Total this year 48
Increase
an ice cream company made 38 batches of ice cream in 7.6 hours. assuming A CONSTANT RATE OF PRODUCTION, AT WHAT RATE IN HOURS PER BATCHWAS THE ICE CREAM MADE. (hours per batch)
Answer:
5 batches per hour
Step-by-step explanation:
Can someone pls help me its due today and I don't know how to solve this! pls show work!
Answer:
x = 10
Step-by-step explanation:
Angles are congruent b/c of the corresponding angles thm
6x + 8 = 3x + 38
3x = 30
x = 10
The Environmental Protection Agency (EPA) uses a measure called the Pollutant Standards Index (PSI) to measure air quality in a city. A PSI reading over 100 indicates a day when the air quality is considered unhealthy. The measurements represent the number of days in 1995 that the PSI was over 100 for metropolitan areas in the U.S. Midwest. Summary statistics are provided.
0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 7, 7, 11, 14
Required:
Draw the boxplot for this data we found no extreme outliers.
Answer:
Please find attached the Box Plot Created with Microsoft Excel
The outliers are 11, and 14
Step-by-step explanation:
The given data is presented as follows;
0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 7, 7, 11, 14
From the data, we have;
The first quartile, Q₁ = 1
The second quartile, (The median) Q₂ = 2.5
The third quartile, Q₃ = 4.75
Therefore, the interquartile range, IQR = Q₃ - Q₁ = 4.75 - 1 = 3.75
Therefore, the values above Q₃ + 1.5 × IQR are outliers
Q₃ + 1.5 × IQR = 4.75 + 1.5 × 3.75 = 10.375
Therefore, 11, and 14 are outliers
The boxplot created with Microsoft Excel is attached
A study of malaria transmission in Africa tested whether drinking beer increased attractiveness to mosquitoes. Yes, this is a real story (Lefevre et al. 2010. PLOS One5:e9546), and for simplicity I have changed some details from what they actually did. The researchers opened a container of 50 mosquitoes and looked at what proportion of the 50 mosquitoes left the container and flew towards the volunteer person. They did this experiment with 30 persons and each person was tested twice, once before they drank anything and then (an hour later) after they had consumed a beer. Assuming that the proportions of mosquitoes are normally distributed and the variances are similar, what would be the best test to see if more mosquitoes are attracted to people after drinking a beer
Answer:
The best test to see if more mosquitoes are attracted to people after drinking beer is the z-test for the difference in proportion of two populations
Step-by-step explanation:
The study tested if drinking bear increases the attractiveness to mosquitoes
The number of people the taking part in the study, n = 30 people
The total number of mosquitoes in the study = 50 mosquitoes
The proportion of mosquitoes flying to each volunteer is measured before and one hour after consuming bear
The mean number of mosquito flying towards a volunteer can be found by summing the other proportions that fly towards the 30 volunteers and dividing by n₁ = 30, before and n₂ = 30 after the respondents had bear to obtain [tex]\hat{p}_{1}[/tex] and [tex]\hat{p}_{2}[/tex]
Given that the variances are equal and the sum of the sample for the two tests, n₁ + n₂ = 60 > 30, it is, best to use the the z-test for the difference in proportion as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p}) \cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
Where the pooled mean, [tex]\hat p[/tex], is given as follows;
[tex]\hat p = \dfrac{n_1 \cdot \hat p_1 + n_2 \cdot \hat p_2}{n_1 + n_2}[/tex]
can I get help PLEEEEEEEEEEEEEASE
Answer:
what do you need help with? i can try to help you
Step-by-step explanation:
Answer:
Help with what, where is the ?
The area of a sector of a circle of radius 5
cm, formed by an arc of length 3.5 cm is
(a) 8 cm?
(b) 8.75 cm?
(c) 9.5 cm?
(d) 7.9 cm?
Answer:
A = 8.75 cm²
Step-by-step explanation:
Given that,
Radius, r = 5 cm
The arc length, l = 3.5 cm
We need to find the area of a sector. Let [tex]\theta[/tex] be the angle. So,
[tex]\theta=\dfrac{l}{r}\\\\\theta=\dfrac{3.5}{5}\\\\\theta=0.7\ rad[/tex]
The formula for the area of sector when [tex]\theta[/tex] is in radian is given by :
[tex]A=\dfrac{1}{2}\times \theta r^2\\\\A=\dfrac{1}{2}\times 0.7\times 5^2\\\\A=8.75\ cm^2[/tex]
So, the area of the sector is 8.75 cm².
Answer: (b)
Step-by-step explanation:
Given
the radius of circle r=5 cm
arc length [tex]l=3.5\ cm[/tex]
Arc length is also given by
[tex]l=\dfrac{\theta }{360^{\circ}}\times 2\pi r[/tex]
[tex]\Rightarrow 3.5=\dfrac{\theta }{360^{\circ}}\times 2\pi \times 5\\\\\Rightarrow \theta =40.10^{\circ}[/tex]
Area of the sector is given by
[tex]\Rightarrow A=\dfrac{\theta }{360^{\circ}}\times \pi r^2\\\\\Rightarrow A=\dfrac{40.101^{\circ}}{360^{\circ}}\times 3.142\times 5^2\\\\\Rightarrow A=8.749\approx 8.75\ cm^2[/tex]
What is the circumference of the circle?
circumference = 2*(22/7)*r^2
r=d/2
so answer is 103.62
Find the are of the shape shown below
Answer:
32 units²Step-by-step explanation:
The figure is the trapezoid
Trapezoid area formula:
A = 1/2(b1 + b2)hSubstitute values and solve:
A = 1/2(12 + 4)*4 = 32 units²x-3=14 use the opposite operation found in the equation.
Step-by-step explanation:
x-3=14
x=14+3
x=17
verification
x(17)-3=14
17-3=14
14=14
Sue bought a six-month CD for $5000. She said that at maturity it paid $162.50 in interest. Assume that this was simple interest, and determine the APR.
Answer:
apr is 500
Step-by-step explanation:
im an idiot sorry for waisting your time
The annual percentage rate is 6.5%.
Given that,
Sue bought a six-month CD for $5000. She said that at maturity it paid $162.50 in interest.Based on the above information, the calculation is as follows:
[tex]= (162.50 \times 2 \times 100\%) \div \$5,000[/tex]
= 6.5%
Therefore we can conclude that the annual percentage rate is 6.5%.
Learn more: brainly.com/question/24169758
given the qintic equation below, solve it to find the values of x. 2x^5_6x^3_4x^2_2x+4 =0
9514 1404 393
Answer:
x = {-0.5-√1.25, -0.5+√1.25, 2, -0.5+i√0.75, -0.5-i√0.75}
Step-by-step explanation:
I like to use a graphing calculator to find clues as to the roots of higher-degree polynomials. Here, we see that x=2 is the only real rational root. Dividing that out by synthetic division, we see the remaining quartic factor is ...
2x^5 -6x^3 -4x^2 -2x +4 = 0
2(x -2)(x^4 +2x^3 +x^2 -1) = 0
We can recognize that the quartic factor is actually the difference of two squares:
x^4 +2x^3 +x^2 -1 = (x^2 +x)^2 -1 = 0
So it resolves to two quadratic factors.
(x^2 +x +1)(x^2 +x -1) = 0
One will have real roots, as shown by the graph. The other will have complex roots.
x^2 +x + 1/4 = 1 +1/4 . . . . complete the square for the factor with real roots
(x +1/2)^2 = 5/4
x = -1/2 ± √(5/4) . . . . . . irrational real roots
__
x^2 +x = -1 . . . . . . . . . . the quadratic factor with complex roots
(x +1/2)^2 = -1 +1/4 . . . complete the square
x = -1/2 ± i√(3/4) . . . . irrational complex roots
__
In summary, the values of x that satisfy the equation are ...
x = 2
x = -1/2 ± √(5/4)
x = -1/2 ± i√(3/4)
Answer this question and I will mark you branilist
Answer: F
Step-by-step explanation:
Help me pls this is urgent ;>
Answer:
[tex] \frac{ |a + x| }{2} - \frac{ |a - x| }{2} \\ \\ = \frac{ | - 2 - 6| }{2} - \frac{ | - 2 + 6| }{2} \\ \\ = \frac{ | - 8| }{2} - \frac{ |4| }{2} \\ \\ = \frac{8}{2} - \frac{4}{2} \\ \\ = 4 - 2 = 2[/tex]
just have a few more left!! please help yall
Answer:
this one (look attachment):
WILL MARK!
For parallelogram ABCD, find x.
Answer:
x = 16
Step-by-step explanation:
If the figure is a parallelogram, the opposite sides are the same length
3x+20 = 5x-12
Subtract 3x from each side
3x+20 -3x = 5x-12-3x
20 = 2x-12
Add 12 to each side
20+12 = 2x-12+12
32 = 2x
Divide each side by 2
32/2 = 2x/2
16 =x
A line with a slope of 0 passes through the point (9,5). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:y=x+5
Step-by-step explanation:
Kari is baking cookies. She uses 15 cups of flour to bake 6 batches of cookies. How many cups of flour does she use for each batch?
Answer:
Step-oby-step explanation:
Find the average rate of change of the function between the given values of x.
y = -5x - x2 between 2 and x = 6.
Answer:
The average rate of change is of -13.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function in an interval [a,b] is given by:
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
In this question:
Between 2 and 6. So
[tex]f(6) = -5(6) - 6^2 = -30 - 36 = -66[/tex]
[tex]f(2) = -5(2) - 2^2 = -10 - 4 = -14[/tex]
[tex]A = \frac{-66 - (-14)}{6 - 2} = \frac{-66 + 14}{4} = \frac{-52}{4} = -13[/tex]
The average rate of change is of -13.
ANSWERRRRR????HELPP PSLSSSSS
Answer:
its sas side angle side plz mark me branliest
Plz answer correctly I will give brainliest and no virus links please I rlly need this answered
Answer: The blue circle is 62.83 and the orange is 31.42
Step-by-step explanation: Sorry if I got it wrong. But since the orange 5 cm and the blue (half) is 5cm, you add 10cm.
All trapezoids have one right angle?
Answer:
a trapezoid can have either 2 right angles or no right angles at all
Step-by-step explanation:
If 15% of a number is 150, find 3% of that number.
Answer:
$50
Step-by-step explanation:
hoped I helped
and p.s. dont click the link
Answer:
the answer is 30
how you would use the distributive property to expand 7(x + 4). I NEED HELPP
Answer:
7x+28
Step-by-step explanation:
7(x+4)
Use the distributive property to multiply 7 by x+4.
7x+28
Graph if needed:
What steps are used to solve this equation? 2/7 Complete each statement First, y on both sides of the equation. Next, simplify the equation by The solution of the equation is Check the solution by substituting V 144 for x and simplifying.
Answer:
What steps are used to solve this equation? 2/7 Complete each statement First, y on both sides of the equation. Next, simplify the equation by The solution of the equation is Check the solution by substituting V 144 for x and simplifying.
Step-by-step explanation:
Next time, dont trust me to answer things correctly.
Answer:
C,A,D,D
Step-by-step explanation:
5k + 9 = 89.............
Answer:
k= 16
Step-by-step explanation:
89-9=80
80/5=16
16=k
Answer:
5k+9=89
5k=89-9
5k=80
k=16
Help me out thank youuuu sooo much !!!
Answer/Step-by-step explanation:
There are actually two methods that can be used to calculate AC (x):
1. Using Pythagorean Theorem
2. Using Trigonometric Function
1. Using Pythagorean Theorem, we have:
x = √(15² + 20²)
x = √625
x = 25 units
2. Using Trigonometric Function:
Reference angle = 37°
Adjacent = 20
Opposite = 15
Hypotenuse = x
Apply SOH:
Sin 37 = Opp/Hyp
Sin 37 = 15/x
x × Sin 37 = 15
x = 15/sin 37
x = 24.9246021 ≈ 25 units (nearest whole number)
Hertz and Enterprise are rental car companies. Hertz charge's $50 for the rental, plus $40 for each day. Enterprise charges $40 for the rental, plus $45 for each day. What is the first day that Enterprise will be more expensive?
Answer:
I believe it will be day 3
Step-by-step explanation:
Day 1 for Hertz starts at 90, while day 1 for enterprise is starting at 85
day 2 (H)
130
day 2 (E)
130
day 3 (H)
170
day 3 (E)
175
The diameter of the circle shown below is 12m. What is the area of the circle
Answer:
The area of the circle is 113.097
Hope this helped!
Please give brainliest if it helped!
I’ll give brainliest these shouldn’t be too hard
Answer:
9# 415 10# 2 hotdogs and one hamburger
Step-by-step explanation:
Hope this helps!!!
have a great day!
Como se les llama a los números que tienen raíz cuadrada exacta y los números que tienen raíz cúbica exacta
Answer: square y cubed
Step-by-step explanation: