Answer:
49%
Step-by-step explanation:
Well, you would just divide the "male democrat" category and the "male total" category and then move the decimal over 2 spaces, because you need to multiply by 100 to turn your answer into a percent, so:
\(\frac{600}{1222}=0.49\)
Then once you multiply by 100, or move the decimal to the left 2 spaces, it becomes:
49%
Dionne can fold 175 packing boxes in 50 minutes.
Elias can fold 120 packing boxes in 40 minutes.
Use unit rates to find how much time it will take each person to fold 210 packing boxes.
Drag the numbers to explain and show your answer. Numbers may be used once or not at all.
370803.54.550604
Dionne can fold
boxes in 1 minute and Elias can fold
boxes in 1 minute.
Dionne will fold 210 boxes in
minutes and Elias will fold 210 boxes in
minutes.
REFER THE ATTACHMENT ABOVE ☝☝☝☝
Answer:
\( \frac{176}{50m} = \frac{3.5}{1} \)
RESULT
Use ratio and proportion.
Let x be the time it takes Dionne to fold 210 packing boxes:
\( \frac{175}{50} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 175x = 50(210) \\ \\ x = \frac{50(210)}{175} \\ \\ x = \frac{50(210)}{175} \\ \\ x = 60\)
So, it will take Dionne 60 minutes to fold 210 packing boxes.
Let y be the time it takes Elias to fold 210 packing boxes:
\( \frac{120}{40} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 120x = 40(210) \\ \\ x = \frac{40(210)}{120} \\ \\ \\ x = 70\)
So, it will take Elias 70 minutes to fold 210 packing boxes.
Mr. Jackson drove 40 miles in June. He drove 6 times as many miles in August as he did in June. He drove 2 times as many miles in July as he did in August. How many miles did Mr. Jackson drive in July?
The correct answer is Mr. Jackson drove 480 miles in July.
Let's break down the information given step by step to determine the number of miles Mr. Jackson drove in July:
Mr. Jackson drove 40 miles in June.
In August, he drove 6 times as many miles as he did in June. Therefore, the distance he drove in August is 6 times 40, which equals 240 miles.
In July, he drove 2 times as many miles as he did in August. Therefore, the distance he drove in July is 2 times 240, which equals 480 miles.
Therefore, Mr. Jackson drove 480 miles in July.
Mr. Jackson drove 40 miles in June.
In August, he drove 6 times as many miles as he did in June. This means the distance he drove in August is 6 * 40 = 240 miles.
In July, he drove 2 times as many miles as he did in August. Since he drove 240 miles in August, the distance he drove in July is 2 * 240 = 480 miles.
So, Mr. Jackson drove 480 miles in July.
To summarize:
June: 40 miles
August: 240 miles
July: 480 miles
Therefore, based on the given information, Mr. Jackson drove a total of 480 miles in July.
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5. A study of a population of 1,200 frogs revealed that 12 out of every 180 frogs in the population
have spots on their back. Based on the results of this study, how many frogs in the population do
NOT have spots on their back?
A. 80 C. 1,280
B. 168 D. 1,120
Answer:
1,280
Step-by-step explanation:
prob(spots) = 12/180 = 1/15
so of the 1200 frogs, (1/15)(1200) should have spots, so ..
how many should not have frogs ?
or
prob(not spots) = 14/15
number who don't have spots = (14/15)(1200) = 1,280
Need help ASAP 25 points
Answer:
B and F
Step-by-step explanation:
(6-11)^2 =
6/11 x 6/11
6^2/11^2
36/121
The answers are B, E and F
-) Aspirin has a half-life of 6 hours in the blood stream. If a person takes 625mg, how long will it take for there to be 150mg left in the bloodstream?
It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.
We have,
To determine how long it will take for there to be 150mg of aspirin left in the bloodstream, we can use the concept of half-life.
The half-life of aspirin is given as 6 hours, which means that after every 6 hours, the amount of aspirin in the bloodstream reduces by half.
Let's calculate the number of half-lives required to reach 150mg:
Initial amount of aspirin = 625mg
Final amount of aspirin = 150mg
625mg / 150mg = 4.17
This means it will take approximately 4.17 half-lives for the amount of aspirin in the bloodstream to reduce from 625mg to 150mg.
Since each half-life is 6 hours, we can calculate the total time it will take:
Total time = Number of half-lives * Half-life duration
Total time = 4.17 x 6 hours
Total time ≈ 25 hours and 1 minute
Therefore,
It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.
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1. Identify the DEPENDENT VARIABLE in the testable
To identify the dependent variable in the testable, look out for the variable that is affected by the other. The variable that changes as a result of another variable is the dependent variable.
In a research study, there are typically two main variables that direct the scientific enquiry. They are:
Dependent Variable, andIndependent VariableThe independent variable causes a change in the dependent variable, i.e. the dependent variable receives the effect, the independent variable is the cause of the change.
It is very easy to identify the dependent variable in any testable hypothesis once you are able to pick out which variable is causing a change in the other.
For example, let's say the topic of a research is: The Impact of Sunlight on Germination Rate of Seedlings.
Here, Sunlight is the independent variable affecting Germination Rate.
The dependent variable here would be: Germination Rate.
Therefore, to identify the dependent variable in the testable, look out for the variable that is affected by the other. The variable that changes as a result of another variable is the dependent variable.
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Is this a function? Input: students first name, Output: students favorite color
3. Describe the transformation that takes to .
f x = x+1 to g x = -x+4
Step-by-step answer:
Step 1: Moving up 3 units.
- Before: \(f(x) = x + 1\)
- After: \(f(x) = x + 4\)
Step 2: Reflect f (x) over the y-axis.
- Before: \(f(x) = x + 4\)
- After: \(f(x) = -x + 4\)
Hope this help!
Recently, FHA mortgages, which are insured by the federal government, accounted for 28% of all home-purchase mortgages that were approved. A random sample of 150 mortgage applications was selected. What is the probability that 48 or more from this sample were insured by the FHA?
Answer:
15.87% probability that 48 or more from this sample were insured by the FHA
Step-by-step explanation:
I am going to use the normal approximation to the binomial to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
\(E(X) = np\)
The standard deviation of the binomial distribution is:
\(\sqrt{V(X)} = \sqrt{np(1-p)}\)
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that \(\mu = E(X)\), \(\sigma = \sqrt{V(X)}\).
In this problem, we have that:
\(p = 0.28, n = 150\)
So
\(\mu = E(X) = np = 150*0.28 = 42\)
\(\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{150*0.28*0.72} = 5.5\)
What is the probability that 48 or more from this sample were insured by the FHA?
Using continuity correction, this is \(P(X \geq 48 - 0.5) = P(X \geq 47.5)\), which is 1 subtracted by the pvalue of Z when X = 47.5. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{47.5 - 42}{5.5}\)
\(Z = 1\)
\(Z = 1\) has a pvalue of 0.8413.
1 - 0.8413 = 0.1587
15.87% probability that 48 or more from this sample were insured by the FHA
5(x + 5y) - {2x – [3x – 3(x – 2y) + y]} simplfy
Answer:
3x+20y
Step-by-step explanation:
First write down the expression.
5(x + 5y) - {2x – [3x – 3(x – 2y) + y]}
Now, the first thing you would have to do is the first parenthesis
5(x+5y)
5x+25y
So far, the expression looks like this: 5x+25y - {2x – [3x – 3(x – 2y) + y]}
No we would do the smallest parenthesis in the expression.
Which is: (x – 2y)
But since there is nothing to simplify, we move on
Next one is [3x – 3(x – 2y) + y]
We have to do 3(x-2y) first
This is equal to: 3x-6y
So far, the expression looks like this:5x+25y - {2x – [3x – 3x-6y + y]}
The next step is still in the other parenthesis up top
Which is: [3x – 3x-6y + y]
We have to add up the x's and y's
Which is -5y
Our expression now looks like this:5x+25y - 2x-5y
Since we don't have anymore parenthesis, we look for the same letter and add or subtract them.
We have to do 5x-2x=3x
25y-5y=20y
So that means our final answer is :3x+20y
Hope this answer is correct!
If It is, can you give me brainliest, it took me almost 25 minutes to write this down.
Fill in the blank:
1. Any Polynomial equation has a number of solutions or roots equal to the ___
of the equation, including complex and imaginary solutions.
Hey ! Can anyone help me with this problem please thank you !!
Answer:
2
Step-by-step explanation:
7x + 3 = 8x + 1
2 = x
these are geometry problems.
. Select all the properties of a rectangle.
A. Has right angles
B. Has at least one obtuse angle
C. Has parallel lines
D. Has perpendicular lines
E. Has at least one acute angle
Answer:
A, C, D
Step-by-step explanation:
In this 45-46-90 triangle , I have been given the length of a leg . How do I find the length of the hypotenuse
Answer:
nothing actually Iteursitskysjtskydjtsitsitsitskgditdkgd elhsitdlhclufluclydlhcogogjdy
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Sum of the interior angles of any triangle equal 180° .
Thus ;
The angle which facing to the side 4 is 45°.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Hint :
In a right triangle, the side facing the 45° angle is √2 / 2 times the hypothenuse .
Thus ;
\( \frac{ \sqrt{2} }{2} x = 4 \\ \)
Multiply sides by 2
\(2 \times \frac{ \sqrt{2} }{2} x = 2 \times 4 \\ \)
\( \sqrt{2} x = 8 \\ \)
Divide sides by √2
\( \frac{ \sqrt{2}x }{ \sqrt{2} } = \frac{8}{ \sqrt{2} } \\ \)
\(x = \frac{4 \times 2}{ \sqrt{2} } \\ \)
\(x = \frac{4 \times \sqrt{2} \times \sqrt{2} }{ \sqrt{2} } \\ \)
\(x = 4 \sqrt{2} \\ \)
\(x = hypothenuse = 4 \sqrt{2} \)
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
An HVAC technician is comparing pension plans for two different job offers. First offer: $58,000 average annual wage, 1.6% per year of service, with a monthly pension payment of $1,546.67 after 20 years of service Second offer: $64,900 average annual wage, 1.3% per year of service The technician plans to work for the same amount of time at each company. What is the difference in monthly pension payments?
Answer:
First, we need to calculate the total amount of the pension for the first offer:
$58,000 x 0.016 x 20 = $18,560 per year
Then, we can calculate the monthly pension payment:
$18,560 / 12 = $1,546.67 per month
For the second offer, we need to calculate the annual pension amount:
$64,900 x 0.013 x 20 = $16,828 per year
And then the monthly pension payment:
$16,828 / 12 = $1,402.33 per month
Finally, we can calculate the difference in monthly pension payments:
$1,546.67 - $1,402.33 = $144.34
Therefore, the difference in monthly pension payments is $144.34.
Kiara said the line with equation 28x – įy = -20has a slope of 28. What mistake did Kiara make?
ANSWER:
Kiara's error is to say that the slope is 28 when the equation does not have that form y = mx + b
STEP-BY-STEP EXPLANATION:
The form of the equation in the slope and y-intercept form is as follows
\(\begin{gathered} y=mx+b \\ \text{where m is the slope and b is }y-\text{intercept} \end{gathered}\)The value that accompanies x is the value of the slope, but if and only if the equation is in this form.
FIND THE AREA PLEASE
Answer:
the area of the shape is 48m
Step-by-step explanation:
10*4=40
2*4=8
40+8=48
brake it up into two triangles. one is a triangle that is 10m tall and 8m wide at the top. you can solve that by doing 4*10=40. the other triangle is 4m wide at the bottom and 2m tall. you can solve that by doing 2*4=8. and 40+8=48.
What is 6099 divided by 7
Answer:
The answer is 871.285. your welcome.
if you subtract 19 from my number and multiply the difference by -2, the result is -8
Answer:cool
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
let the number be 'a'
-2(a - 19)= -8
open the brackets
-2a + 38 = -8
collect like terms
38 + 8 = 2a
46 = 2a
a = 23
wants to tile the surface of a rectangular storage case that is inches long, inches wide, and inches tall. If he uses all green tiles, how many tiles will he need?
The surface area of the rectangular prism is 396 square inches
He will need 504 tlles
What is the surface area of the rectangular prism?From the question, we have the following parameters that can be used in our computation:
7 in by 12 in by 6 in
The surface area of the rectangular prism is calculated as
Area = 2 * (7 * 12 + 7 * 6 + 12 * 6)
Evaluate
Area = 396
Hence, the area is 396 square inches
The number of tiles is 7 * 12 * 6 = 504
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Question
wants to tile the surface of a rectangular storage case that is 7 inches long, 12 inches wide, and 6 inches tall. If he uses all green tiles, how many tiles will he need?
Find the circumference of this circle
using 3 for T.
C ~ [?]
2
C = 2Tr
Answer:
12Step-by-step explanation:
Formula:
C = 2πrGiven:
r = 2, π = 3The circumference:
C ≈ 2*2*3 = 12Hope this help!!!
Have a nice day!!!
The product of powers law of exponents states to keep the ______ then _______ the powers.
A. base. A. add
B. coefficient B. subtract
C. exponent C. multiply
Given 1 || m ||
|| n, find the value of x.
(x-6)⁰
60⁰
1
m
n
The value of x in the lines is 126 degree
We are given that;
Three parallel line and one intersecting line
Angles= (x-6) and 60
Now,
By supplementary angles property
Angle 1 + Angle 2 = 180 degree
Substituting the values of angles
x-6 + 60 = 180
x + 54 = 180
x = 180-54
x = 126
Therefore by supplementary angles answer will be 126 degree.
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Can someone please answer this question for me with explanation bc im kinda having a hard time
Answer:
Step-by-step explanation:
First we find out the area of circle, and then subtract the area of triangle from it to find the area of the shaded region
Area of Circle
Here, r=radius
area of circle= π×r²
= π × 5² (radius=half of diameter)
= 25π
= 78.54cm²
Area of Triangle
Here, b=base, h=height
area of triangle = \(\frac{1}{2\\}\)×b×h
= \(\frac{1}{2}\)×8×6
= 24cm²
Area of shaded region= area of circle - area of triangle
= 78.54 - 24
= 54.54
≈ 54.5cm² [Ans]
Solve each system by substitution -3x + 3y = 3 and -5x + y = 13
Step-by-step explanation:
The given system of equations are ,
-3x + 3y = 3-5x + y = 13Solving (1) :-
=> -3x + 3y = 3
=> -3( x - y ) = 3
=> x - y = 3/-3
=> x - y = -1
=> x = y + 1
Put this value in (2)
=> -5(y+1) + y = 13
=> -5y -5 + y = 13
=> -4y = 18
=> y = 18/-4
=> y = -9/2 = -4.5
Finding x :-
=> x = -4.5 + 1
=> x = -3.5
Hence the value of x is -3.5 and y is -4.5The sample mean, x , is a statistic.
True or False
Answer:
True
Step-by-step explanation:
The statistic is a numerical value which describes the characteristic of a particular sample data. The sample is a set of data which represents a smaller subset randomly selected from the population or a larger dataset.
The sample mean, refers to the mean or average value of a sample data, therefore, a sample mean is a numerical characteristic of the sample dataset and it is therefore a statistic. On the other hand, numerical characteristics of a population data is called the parameter.
2. Solve the equation by completing the square. Round to the nearest hundredth if necessary.
x² – 3x-3=0
Find Surface Area Of This Triangular Prism
Answer:
325 cm²
Step-by-step explanation:
find area of each side even those that are not shown. then add the areas
A bean plant grows at a constant rate for a month. After 10 days, the plant is
25 centimeters tall. After 20 days, the plant is 45 centimeters tall.
Which equation models the height of the plant. y after x davs?
,,Answer:
Thus, the equation would be
y - 25 = 2(x - 10)
Option B is correct
Step-by-step explanation:
Given that the rate is constant, we would write the equation in the slope-intercept form, which is expressed as
y = mx + c
where
m represents slope, and it also represents the constant rate
c represents the y-intercept
The formula for calculating slope is expressed as
m = (y2 - y1)/(x2 - x1)
From the information given,
x represents the number of days
y represents height
Thus,
when x1 = 10, y1 = 25
when x2 = 20, y2 = 45
Substituting these values into the formula, we have
m = (45 - 25)/(20 - 10) = 20/10 = 2
We would find the y-intercept, c by substituting m = 2, x = 10 and y = 25 into the slope-intercept equation. We have
25 = 2 x 10 + c
25 = 20 + c
c = 25 - 20
c = 5
By substituting m = 2 and c = 5 into the slope-intercept equation, the equation models the height of the plant. y after x days is
y = 2x + 5
The options are written in point-slope form, which is expressed as
y - y1 = m(x - x1)
Thus, the equation would be
y - 25 = 2(x - 10)
Option B is correct
Answer:
b is correct just took the exam
Step-by-step explanation:
4 + 1n(x-1)=3 solve for x
\(\\ \sf \longmapsto 4+10(x-1)=3\)
\(\\ \sf \longmapsto 4+10x-10=3\)
\(\\ \sf \longmapsto 10x-6=3\)
\(\\ \sf \longmapsto 10x=3+6\)
\(\\ \sf \longmapsto 10x=9\)
\(\\ \sf \longmapsto x=\dfrac{9}{10}\)