Answer:
2.1 standard drinks
(or 2 if you need to round to the nearest whole number)
Step-by-step explanation:
The ABV (alcohol by volume) percentage is a measure of the amount of pure alcohol (as a percentage) of the total volume of liquid in a drink.
So for 16% wine, this means that 16% of the volume of the wine is pure alcohol.
Therefore, if 16% of 8 fl oz is pure alcohol, this means that 1.28 fl oz of the 8 fl oz is pure alcohol (since 0.16 × 8 = 1.28).
One standard drink ≈ 0.6 fl oz pure alcohol
To calculate the number of standard drinks, divide the total amount of pure alcohol found by the amount in one standard drink:
1.28 ÷ 0.6 = 2.1
Therefore there is approximately 2.1 standard drinks in 8 fl oz of 16% wine.
At a clover city council meeting, a plan to fund more sign language programs was presented. the reasoning behind the request was that less than 25% of parents with hearing-impaired children have the ability to pass a sign-language exam. if this is true, the council will agree to fund more programs for these parents. the council decides to take a 175-person volunteer sample of parents in clover city that have children with auditory issues and conduct a significance test for h0: p = 0.25 and ha: p < 0.25, where p is the proportion of these parents that can pass the sign language exam. they will perform the significance test at a significance level of ? = 0.05 for the hypotheses.
part a: describe a type ii error that could occur. what impact could this error have on the situation?
part b: out of the 175 volunteer parents of children with hearing problems, 54 passed, resulting in a p-value of 0.96. what can you conclude from this p-value given the data of the 175 parents is sufficient to perform a significance test for the hypotheses?
part c: what possible defect in the study can you find in part b? explain
The type II error is the probability of accepting the null hypothesis when it's false.
How to explain the probability?a. From the information, the proportion of parents who passes the sign language test is not less than 25%.
b. Since the p value is greater than 0.05, the null hypothesis is rejected. Therefore, the proportion of parents who passes the sign language test is not less than 25%.
c. The possible defect in the study is that the parents if the children with hearing problem should be selected randomly.
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bob rented a truck for one day.there was a base fee of $14.75, and there was an additional charge of 25 cents for each mile driven. the total cost, C (in dollars), for driving x miles is given by the following function. C(x)=0.25x+14.75 what is the total rental cost if bob drove 40 miles
C(x)=0.25x+14.75
=C(40)=0.25x+14.75
=40c=0.25(40) + 14.75
=40c=10+14.75
=40c=24.75
You+deposit+$500+in+an+account+that+pays+5%+interest+compounded+yearly. +how+much+money+is+in+the+account+after+4+years?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$500\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ A=500\left(1+\frac{0.05}{1}\right)^{1\cdot 4}\implies A=500(1.05)^4\implies A\approx 607.75[/tex]
The final amount will be $607.75 after 4 years if the principal amount is $500 and it compounded annually with interest rate of 5%
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+r)^t[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
We have in the problem:
P = $500, r = 5% = 0.05, and n = 4 years
[tex]\rm A = 500(1+0.05)^4[/tex]
A = $607.75
Thus, the final amount will be $607.75 after 4 years if the principal amount is $500 and it compounded annually with interest rate of 5%
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I just took a test and my brain is fried please help thanks
[tex]tan(\theta )=\sqrt{3}\implies tan(\theta )=\cfrac{\sqrt{3}}{1}\implies tan(\theta )=\cfrac{\sqrt{3}}{1}\cdot \cfrac{2}{2} \implies tan(\theta )=\cfrac{\sqrt{3}}{2}\cdot \cfrac{2}{1} \\\\\\ tan(\theta )=\cfrac{~~\stackrel{sin(\theta )}{\frac{\sqrt{3}}{2}} ~~}{\underset{cos(\theta )}{\frac{1}{2}}}\implies \theta =tan^{-1}\left( \cfrac{~~\frac{\sqrt{3}}{2} ~~}{\frac{1}{2}} \right)\implies \theta = \begin{cases} \stackrel{I~Quadrant}{60^o}\\\\ \stackrel{III~Quadrant}{240^o} \end{cases}[/tex]
Check the picture below.
Use the ordered pairs below. (10,20), (11, 21), (12, 22) What patterns are used to create the ordered pairs?
Answer:
Add 1 unit to the X coordinates and Y coordinates for each new pair.
step-by-step explanation:
X: 10 + 1 = 11 + 1 = 12
Y: 20 + 1 = 21 + 1 = 22
Big Ed’s car dealership is running a special on 2008 trucks. Big Ed offers financing at a rate of 6. 71% on a loan with a term of 36 months, but he requires the customer to make a down payment of 15% of the cost of the vehicle. You are interested in a Car Crusher truck that costs $25,230. Not including the down payment, how much will you pay over the lifetime of the loan? a. $27,924. 84 c. $23,735. 88 b. $25,789. 32 d. $21,445. 50.
Answer:
Correct answer: a.
Computation:
{eq}\begin{align*} {\rm\text{Present}}\;{\rm\text{value}}\;{\rm\text{of}}\;{\rm\text{an}}\;{\rm{annuity}}\;
Step-by-step explanation:
Financing:
Financing is generally the method to provide funds to the business so that the business can grow its operations. There are generally two types of financing. These are: Equity financing and debt financing. In debt financing, there is no obligation and burden to repay the funds acquired by it. Debt Financing is comparatively Cheaper than the Equity Financing.So The Answer Is A
The amount that you pay over the lifetime of the loan is $21,445.5. Then the correct option is D.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Big Ed’s car dealership is running a special on 2008 trucks.
Big Ed offers financing at a rate of 6.71% on a loan with a term of 36 months, but he requires the customer to make a down payment of 15% of the cost of the vehicle.
You are interested in a Car Crusher truck that costs $25,230.
Not including the down payment, the amount that you pay over the lifetime of the loan will be
⇒ (1 - 0.15) × $25,230
⇒ 0.85 × $25,230
⇒ $21,445.5
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The nth term of a sequence is n2 + 5 (a) (i) Find the first two terms of this sequence. (ii) Is 126 a term of this sequence? You must show how you get your answer
Answer:
126 is a term in the sequence. Please check my assumption on the correct formula.
Step-by-step explanation:
I will assume that n2 + 5 is actually n^2 + 5.
Starting with n=0, use the formula to calculate successive values of n. The attached table is the result of n from 0 to 22. At n=11, the result is 126, so 126 is a term in the sequence.
If the expression is actually n2 + 5, calculate the values for y = 2n + 5. 126 would not be a term in this sequence.
Grade 9 maths!!! Due tonight
Answer:
a. 7 by 21
b. a(-12, 2), b(-12, -5), c(9, -5)
Step-by-step explanation:
AD is 3 times the length of AB. X can be the length of AB. Then 3x would be the length of AD. The perimeter is 56, which would also be 3x + x + 3x + x which is 8x. This gives us 8x = 56, meaning that x is 7, or the length of AB is 7. Because AD is 3 times the length of AB (which is 7), AD = 21. Therefore, the dimensions of the rectangle ABCD is 7 by 21.
Coordinates of A have to be 21 units away from D since AD = 21. It goes in the left direction, meaning that 21 is subtracted from 9 (since this is a horizontal edge involving x coordinates) while the y value remains the same. The result is (-12, 2). For coordinate B, it has to be 7 units away from A downwards since AB = 7. This means that you subtract 7 from 2 (involving only the y coordinates), resulting in (-12, -5). For coordinate C, it has to be 21 units from B since BC = AD = 21. Because C is right compared to B, you have to add 21 to -12 (involving only the x coordinate) resulting in (9, -5).
Need some help with this. It says to find x.
Answer:
x= 5
Step-by-step explanation:
Since RQ= PQ,
3x= 15
Divide both sides by 3:
x= 15 ÷3
[tex]\textcolor{red}{x = 5}[/tex]
[tex]\textcolor{steelblue}{\text{Prove for RQ}= \text{PQ}}[/tex]
Let SP= x
RS= SP= x (given)
Let SQ= y
Applying Pythagoras' Theorem,
In triangle QRS
(RQ)²= (RS)² +(SQ)²
(RQ)²= x² +y²
[tex]RQ = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
In triangle QPS
(PQ)²= (SP)² +(SQ)²
(PQ)²= x² +y²
[tex]PQ = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
Thus, RQ= PQ.
Answer:
Step-by-step explanation:
3x = 15
3x/3 = 15/3
x = 5
3(5) = 15
The students in a class collected data on the number of minutes some of them spend brushing their teeth every day. That data is shown in the dot plot below.
Answer:
4 minutes
Step-by-step explanation:
4 minutes has 2 dots associated with it . All other times have only 1 dot.
then 4 minutes is the most common out of the 7
PLS HELP ME PLS I WILL MARK THE BRAINLIEST
Step-by-step explanation:
the area of a full circle (360°) is
pi×r²
r = 15 ft in our case
the area of a segment of a circle is the corresponding fraction of the whole circle area.
the angle of the shaded area is
360 - 332 = 28°
therefore, the area of the shaded area is
pi×15²×28/360 = pi×225×28/360 = pi×225×7/90 =
= pi×5×7/2 = 54.97787144... ft²
≈ 54.98 ft²
the area of the "ice rink" is the sum of a rectangle and a circle (which is split into 2 halves that are attached to both sides of the rectangle).
the radius of the circle is 7/2 = 3.5 meters.
the length of the rectangle in the middle is
18 - 2×3.5 = 18 - 7 = 11 meters.
so, the area of the rectangle is 11×7 = 77 m²
the area of the circle is
pi×r² = pi×3.5² = pi×12.25 = 38.48451001... m²
that means the total area is
77 + 38.48451001... = 115.48451... m² ≈ 115.48 m²
Determine which polynomial is a perfect square trinomial. 4x2 − 12x 9 16x2 24x − 9 4a2 − 10a 25 36b2 − 24b − 16.
This [tex]4x^2 - 12x + 9[/tex] factors into [tex](2x - 3)^2[/tex], and is thus a perfect square trinomial.
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
Trinomial [tex]Ax^2 + Bx + C[/tex] is a perfect square if
A > 0
C > 0
B = ±2√A√C
1. [tex]36b^2 - 24b - 16[/tex]
C < 0
2. [tex]4a^2 - 10a + 25[/tex]
2√A√C = 2×2×5
= 20,
B = −10
3. [tex]16x^2 + 24x - 9[/tex]
not a perfect square,
C < 0
4. [tex]4x^2- 12x + 9[/tex]
perfect square
A>0,
C>0,
2√A√C = 2×2×3
-B = 12
= [tex](2x - 3)^2[/tex]
Thus, [tex]4x^2- 12x + 9[/tex] the polynomial is a perfect square trinomial.
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A recipe requires 34 cups of milk. Paula is making 12 of the recipe. How many cups of milk will Paula use?
A circular piece of glass has a radius of 1.2 meters. The glass sells for $7.10 per square meter. What is the total price of the glass?
Answer:
$8.52 that should be the answer
I needdddd helllppppppppp
1.1 2.4 3.3 right
Step-by-step explanation:
no have
HELLLPPPPPPPP!!!!!!!!
An experiment consists of randomly drawing a card from a standard deck and recording its color, then rolling a die and recording its value.
The following tree diagram shows the possible outcomes.
A 2-column tree diagram: card & die. The card column has B & R. B & R each branch to the numbers 1 through 6 in the die column.
What is the probability of selecting a red card and rolling a number less than 3?
Enter your answer as a reduced fraction, like this: 3/14
The experiment of rolling the dice and selecting a card is an illustration of probabilities
The probability of selecting a red card and rolling a number less than 3 is 1/6
How to determine the probability?From the figure, we have:
Total outcomes = 12
Red card with a number less than 3 = 2
So, the probability of selecting a red card and rolling a number less than 3 is:
p = 2/12
Simplify
p = 1/6
Hence, the probability of selecting a red card and rolling a number less than 3 is 1/6
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Work out the bearing of B from A.
Answer:
The bearing of B from A is 335 Degrees
Step-by-step explanation:
Measure bearings clockwise.
Bearings are measured from the North line.
There are 25 degrees between B and North.
360 Degrees in a circle.
360 - 25 = 335
Please help i am confused
Answer: 18x + 12
Step-by-step explanation:
Step #1: Determine the length of each side.
The polygon is regular, so all the sides are equal. Thus, all sides measure 3x+2.
Step #2: Determine the number of sides in the polygon.
This polygon is identified as a hexagon meaning it consists of 6 sides.
Step #3: Set up an expression and distribute.
(Number of sides) x (Length of each side)
(6)(3x+2)
6 times 3x equals positive 18x6 times 2 equals positive 12So, the answer is 18x + 12.
Answer:
B. 3x + 2
Step-by-step explanation:
The polygon has 6 equal sides.
1 side has a side length of 3x + 2
Therefore, all sides of the polygon measure 3x + 2
Hope this helps!
The legend of a map says that 1 inch = 50 kilometers How many kilometers are in 7.5 inches?
Answer:
375 Km
Step-by-step explanation:
1 inch = 50 km
50 x 7.5 = 375 km
Answer:
375 Km
1 inch = 50 km
50 x 7.5 = 375 km
What is the solution to the system
x + 4y = -8
x - 4y = -8
Answer:
x = -8
y = 0
Step-by-step explanation:
Number two and explain
Step-by-step explanation:
It should be tan(k)=32/40
Tangent is opposite/adjacent and 24/32 is adjacent/opposite which is not a trig function.
Find the missing side of a right triangle if side a=7 and side b=11.
Step-by-step explanation:
c² = a² + b²
c² = 7² + 11²
c² = 49 + 121
c² = 170
now u have to square root it
c² = 170
c = 13
Use the table to identify values of p and q that can be used to factor
x2 + x - 12 as (x + p)(x+ 9).
i need answer asapp!!!
will mark brainliest!!!!
For this case we have the following polynomial:
x2 + x - 12
Factoring we have:
(x-3) (x + 4)
We note that the polynomial is written as:
(x + p) (x + q)
Thus,
p = -3
q = 4
Answer:
The values of p and q that can be used to factor x2 + x - 12 as (x + p) (x + q) are:
C. -3 and 4
Have a nice day
Each side of the square below is 8 inches. a triangle inside of a square. the top of the triangle divides a side of the square into 2 equal parts of 4 inches. the triangle is shaded and the area to the right of the triangle is shaded. what is the probability that a point chosen at random in the square is in the blue region? 0.25 0.33 0.66 0.75
The probability that a point chosen at random in the square is in the blue region is given by: Option D: 0.75
How to find the geometric probability?When probability is in terms of area or volume or length etc geometric amounts (when infinite points are there), we can use this definition:
E = favorable eventS = total sample spaceThen:
[tex]P(E) = \dfrac{A(E)}{A(S)}[/tex]
where A(E) is the area/volume/length for event E, and similar for A(S).
For this case, we're given that:
We want to get probability for a randomly chosen point in square to be in the blue region.The diagram is attached below.The favorable space is the blue shaded region.
The total sample space is the area of the considered square.
Let we take:
E = event of choosing point in the blue shaded region
Now, we have:
Area of blue region = Area of triangle with base = height = 8 inches + Area of right sided triangle which has base of 4 inch (look it upside down), and height of 8 inches
Area of blue region = [tex]\dfrac{1}{2} \times (8 \times 8 + 4 \times 8) = 48 \: \rm in^2[/tex]
Area of the square of sized 8 inches = 64 sq. inches.
Thus, we get:
[tex]P(E) = \dfrac{A(E)}{A(S)} = \dfrac{48}{64} = \dfrac{3}{4} = 0.75[/tex]
Thus, the probability that a point chosen at random in the square is in the blue region is given by: Option D: 0.75
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Simplify:
Q1) 4k – 8p + 4k - 5p
Answer:
- 13p + 8k
Step-by-step explanation:
[tex]4k-8p+4k-5p[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=-8p-5p+4k+4k[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-8p-5p=-13p[/tex]
[tex]=-13p+4k+4k[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:4k+4k=8k[/tex]
[tex]=-13p+8k[/tex]
[RevyBreeze]
a. 23,320ft
b. 5,830 ft
c. 11 660 ft
d. 18,000 ft
Answer:
Step-by-step explanation:
D 18,000
Find the diameter of the circle with the given circumference. Use 3.14 . C=16 cm
Answer:
5.1 cm
Step-by-step explanation:
The equation for the circumference of a circle is 2πr or πd.
So, we can plug in 16 and 3.14 to get 16 = 3.14×diameter.
Divide both sides by 3.14 to get approximately 5.1 cm.
Hope that helps! :)
michael is driving to his mother house after 1 hour and 45 minutes he is two-thirds of the way there At this rate how many total hours will it take michael to drive hsi mothers hosue
Using proportions, it is found that it will take Michael 2.625 hours to drive to his mother's house.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In 1 hour and 45 minutes, which is equivalent in hours to [tex]1 + \frac{3}{4} = \frac{7}{4}[/tex], he is two-thirds of the way. How long it takes him to reach 100% = 1 of the way? The rule of three is given by:
[tex]\frac{7}{4}[/tex] hours - [tex]\frac{2}{3}[/tex] way.
x hours - 1 way
Applying cross multiplication:
[tex]\frac{2}{3}x = \frac{7}{4}[/tex]
[tex]2x = \frac{21}{4}[/tex]
[tex]x = \frac{21}{8}[/tex]
x = 2.625.
It will take Michael 2.625 hours to drive to his mother's house.
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Which equation would you use to solve the following situation?
If everybody on the team scores 6 points, and the team has a total of 42 points, how many people are on the team?
Answer:
6p = 42
Step-by-step explanation:
If everybody scores 6 then the possible equation could be 6p = 42.
p represents the people on the team.
Solve for the variable p:
6p = 42
6p/6 = 42/6
p = 7
There are 7 people on the team.
hope this helps and is right!! p.s. i really need brainliest :)
Find the values of the mode when median is given to be 5 and mean is 7.
Answer:
Mode = 1
Step-by-step explanation:
Relation between the Central Measures of Tendency
Mean, Median, and Mode are commonly referred to as the Central Measures of TendencyThe formula between the three is given by :⇒ Mode = 3Median - 2Mean or Mode + 2Mean = 3MedianSolving
We know that :Median = 5Mean = 7Therefore,
Mode = 3(5) - 2(7)Mode = 15 - 14Mode = 1[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
We know the relation between mean, Median and mode. that is :
[tex]\qquad \sf \dashrightarrow \:mode = 3 \: median - 2 \: mean[/tex]
now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \:mode = 3(5) - 2(7)[/tex]
[tex]\qquad \sf \dashrightarrow \:mode = 15 - 14[/tex]
[tex]\qquad \sf \dashrightarrow \:mode = 1[/tex]
Hence, value of mode is 1