Answer:
(7/4)(0.15)^4(0.85)^3
Step-by-step explanation:
khan says it’s right
PLEASE HELP ASAP WILL GIVE BRANLIESTKayla is installing a rectangular play area in her backyard so her new puppy can run around. After installing 42 feet of fence for the play area, she still has 12 feet of fence left to install. 12 + p = 42 or p - 42 = 12
Let p represent the perimeter of the play area. Which equation models the problem?
Solve this equation to find the perimeter of the play area.
_____________ feet
Answer:
The equation is P - 42 = 12
P = 54
Step-by-step explanation:
WHAT THE HECK IS THAT SHAPE PLEASE HELP IM SLOW
Answer: It looks like a Trapezoid
Step-by-step explanation:
Answer:
trapezoid
Step-by-step explanation
there are two lines across from each toher that are parallel, but the other two lines aren't , so this has to be a trapezoid. there are also no right angles
Jane earns $2100 per month, plus a 3.5% commission on sales. If she has $42,000 in sales for December, what is her total salary for the month?
Answer:$3570
Step-by-step explanation:
42000x0.035=1470
2100+1470=3570
A construction crew is lengthening a road. The road started with a length of 54 miles, and the crew is adding 4 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then use the equation to find the total length of the road after the crew has worked 39 days
Answer:
54 + 4D = L
After 39 days, the total length of the road will be 210 miles.
Step-by-step explanation:
Given that a construction crew is lengthening a road, and the road started with a length of 54 miles, and the crew is adding 4 miles to the road each day, to write an equation in which L represents the total length of the road ( in miles), and D represent the number of days the crew has worked, and then use the equation to find the total length of the road after the crew has worked 39 days, the following calculations should be performed:
54 (initial length) + 4D = L
54 + 4D = L
Thus, if the crew worked 39 days, the equation would be applied as follows:
54 + 4x39 = L
54 + 156 = L
210 = L
Therefore, after 39 days, the total length of the road will be 210 miles.
A college administrator wanted to know if the proportion of students who request online classes, lab classes, or lecture classes was different at two different campuses. At each campus, the administrator took a random sample of 250 students and asked each student which type of class they preferred. The conditions for the appropriate test were verified, and the chi-square test statistic for the test was calculated to be 4.01 with an associated p-value of 0.1347. If the significance level of the test was alpha = .05, what conclusion should the college administrator make about the proportion of students who request online classes, lab classes, or lecture classes at two different campuses?
A. There is convincing statistical evidence to suggest that the proportion of students who request certain classes is the same at each campus.
B. There is convincing statistical evidence to suggest that the proportion of students who request certain classes is different at each campus.
C. There is not convincing statistical evidence to suggest that the proportion of students who request certain classes is the same at each campus.
D. There is not convincing statistical evidence to suggest that the proportion of students who request certain classes is different at each campus.
E. There is not convincing statistical evidence to prove that the proportion of students who request certain classes is different at each campus.
Answer:
There is convincing statistical evidence to suggest that the proportion of students who request certain classes is the same at each campus. ( A )
Step-by-step explanation:
Given sample size = 250
Test statistic = 4.01
P-value = 0.1347
significance level = 0.05
while using chi-square we are supposed to reject H0, but we cant get the critical value ( Z - value ) because the information isn't available , but we are left with the P-value and this P-value been very low shows that the Alternate hypothesis is not strong enough for us to reject the Null hypothesis.
hence we will accept the Null Hypothesis
Answer: B. There is not convincing statistical evidence to suggest that the proportion of students who request certain classes is different at each campus.
Step-by-step explanation: The null hypothesis is that the proportion of students who request certain classes is the same at each campus. Since the p-value is greater than a, there is insufficient evidence to reject the null hypothesis and conclude the alternative hypothesis, that the proportion of students who request certain classes is different at each campus.
Tickets to a movie cost five dollars for adults and three dollars for students a group of friends purchase 18 tickets for $82 how many adult tickets did they buy
Answer: They purchased 14 adult tickets and 4 kids' tickets.
Step-by-step explanation:
14 x 5 = 70
3x4=12
and then add 70 plus 12 to get 82 dollars
please no link answers
Phillip decides to invest $800,000 in a period annuity that earns 5.2% APR
compounded monthly for a period of 20 years. How much money will Phillip
be paid each month?
A. $6159.31
B. $5368.43
C. $5200.00
D. $6389.29
The compounded amount after 10 years would be $1,458,293.87.
What is the formula to calculate the compound interest?The formula to calculate the compound interest is -
[tex]$A =P(1 + \frac{r}{n}) ^{nt}[/tex]
Given is that Phillip decides to invest $800,000 in a period annuity that earns 5.2% APR compounded monthly for a period of 20 years.
We can calculate the compounded amount as -
A = 800000(1 + 0.052/12)^(12 x 20)
A = 1,458,293.87
Therefore, the compounded amount after 10 years would be $1,458,293.87.
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Answer: B. 5368.43
Step-by-step explanation:
Take my word.
Blood type AB is found in only 3% of the population.† If 345 people are chosen at random, find the probability of the following. (Use the normal approximation.
Answer:
345 times 0.03 = 10.35 but we cant have 0.35 of a person so it is 10 people
Step-by-step explanation:
Solve the formula Ax + By = C for A
Which of the pairs (2, 3), (1, 2.5), (6, 1), or (−2, 2) is the solution to the equation 4y−x= 10?
Answer:
(2,3)
Step-by-step explanation:
4(3)-(2)=10
12-2=10
The answer is (2,3)
ABCD is a rhombus. The measure of angle <1 = 58°
true
or
false
Answer:
False
Step-by-step explanation:
In a rhombus, the diagonals are always perpendicular.
what is the height of the cone
Answer:
28
Yes Pog, You are Poggers
X and Y are center of circles which intersect at A and C. XA and XC are produced to meet at B and D. Prove AB = CD.
Answer:
On the diagram, construct lines BY, XY and DY.
Now, consider triangles ΔXBY and ΔXDY. We can say that these triangles are congruent by the SAS postulate (they share side XY, XY bisects ∠BYD so ∠BYX=∠DYX, and BY=DY=radius). If they're congruent, their sides are the same so BX=DX.
BX=DX
AB+radius = CD +radius
AB=CD
What is 498,235 rounded to the
nearest thousands?
Answer:
498,000
Step-by-step explanation:
Carols monthly take home pay is $1500. She spends $250 a month on food. What is the ratio of food costs to take home dollars?
Answer:
the ratio of food costs to take home dollars is 1:6
Step-by-step explanation:
The computation of the ratio of the foods cost to take home is shown below:
Given that
Monthly take home pay is $1,500
And, the spending month on food is $250
Based on the above information
The ratio is
= $250 ÷ $1500
= 1:6
Hence, the ratio of food costs to take home dollars is 1:6
Angle A and Angle B are complementary angles. If angle B is five degrees more than four times angle A, find the measure of each angle.
Answer:
Angle A = 17°, Angle B = 73°
Step-by-step explanation:
Angle A & Angle B are complementary angles (given) so they will form 90°.
Let's take,
Angle A = x
Angle B = 4x +5 (angle B is five degrees more than four times angle A)
Measure of each angle=?
Angle A + Angle B = 90°
x + 4x + 5 = 90
5x + 5 = 90
5x = 90 - 5
5x = 85
x = 85 ÷ 5
x = 17°
Angle A = x = 17°
Angle B = 4x + 5 = 4(17) + 5 = 68 + 5 = 73°
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Allison paid $297.50 for a new laptop. Last week, the price of the laptop
was $350.
15%
350x0.15=52.5
350-52.5=297.5
please help with this asap thank you
Answer:
Distributive Property
A triangle has vertices T(-2,4), E(6,2), and D(1,-1). Is ATED a right triangle?
No, this is not a right triangle.
Yes, because ED is perpendicular to DT which makes a right angle.
Yes, because TE is perpendicular to DT which makes a right angle.
Yes, because TE is perpendicular to ED which makes a right angle.
Answer:
B. Yes, because ED is perpendicular to DT which makes a right angle.Step-by-step explanation:
Plot the given points and connect in pairs to get a triangle.
Visually we can say it is a right triangle as legs TD and ED seem perpendicular.
Let's confirm this by finding the slopes.
Slope of TD:
m = (-1 - 4)/(1 -(-2)) = -5/3Slope of ED:
(-1 - 2)/ (1 - 6) = -3/-5 = 3/5Product of the slopes is:
-5/3*3/5 = -1This confirms DT⊥ED
Correct choice is B
Type you answer in
Amy worked 37.5 hours last week.
She is paid £11.50 per hour.
Her total deductions last week were
£116.30.
What was Amy's net pay last week?
Answer:
Step-by-step explanation:
Please help me Surface Area Homework
A company has recently been hiring new employees. Today the company has 33% more employees than it did a year ago. If there are currently 39,900employees, how many employees did the company have a year ago?
Answer:
33% of 39900=13,167
39900-13167=26733
What is 468,839 rounded to the nearest hundred thousand?
Step-by-step explanation:
468,839 rounded to the nearest hundred thousand ( 100,000 ) would be 500,00 since its above 50 and its 68.
Hopes this helps :)
Evaluate the expression: -(8 - 12) + 6° + (-4)2.
Answer:
-4 + 6°
Step-by-step explanation:
- (8 - 12) + 6° + (- 4)2 = - ( - 4) + 6° - 8 = 4 + 6° - 8 = - 4 + 6°
Use the point-slope form to write an equation of a line through the given points.
(−3, 2) and (3, 4)
Answer:
y-2=1/3(x+3)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-2)/(3-(-3))
m=2/(3+3)
m=2/6
simplify
m=1/3
y-y1=m(x-x1)
y-2=1/3(x-(-3))
y-2=1/3(x+3)
Find the distance CD rounded
to the nearest tenth.
C = (-5,4) D = (5,8)
CD = [?]
HINT: Use the distance formula:
d = V(x2 - xı)2 + (y2 - yı)2
Answer:
The distance is of 10.8 units.
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this question:
C(-5,4) and D(5,8). So
[tex]D = \sqrt{(5-(-5))^2 + (8-4)^2} = \sqrt{10^2 + 4^2} = 10.8[/tex]
The distance is of 10.8 units.
5. A flock of geese flies 50 miles per hour. Write a linear
equation that gives the distance d in miles that the flock
of geese flies in h hours
Answer:
y=50x+0
Step-by-step explanation:
y=mx+b is y-intercept form
I will make x= hours and y= distance (miles)
every 1 you add to x has to represent 50 miles
for the y intercept, it was unspecified so I assumed 0
Hope this helps :)
Answer:
y=50x
Step-by-step explanation:
You claim you are psychic and can predict a coin flip 60% of the time. To test your claim, your friend has you predict a coin flip and then records whether or not you are correct. You do this 200 times and find you are right 135 times. Considering a null hypothesis that you are correctly predict the coin flip 60% of the time, using a hypothesis test, which of the following statements is most accurate?
a. You cannot reject the null at the 10% level of significance.
b. You can reject the null at the 10% level of significance, but cannot reject the null at the 5%, 2%, or 1% level of significance.
c. You can reject the null at the 10% and 5% level of significance, but cannot reject the null at the 2%, or 1% level of significance.
d. You can reject the null at the 10%, 5%, and 2% level of significance, but cannot reject the null at the 1% level of significance.
e. You can reject the null at the 10%, 5%, 2%, and 1% level of significance
Answer:
You can reject the null at the 10% and 5% level of significance, but cannot reject the null at the 2%, or 1% level of significance. ( D )
Step-by-step explanation:
let : P = 0.6
x = 135 , n = 200
p = 135 / 200 = 0.675
H0 : P = 0.6
Ha : P ≠ 0.6
performing the test statistic = ( 0.675 - 0.6 ) / [tex]\sqrt{\frac{0.60(1-0.60)}{200} }[/tex]
= 0.075 / 0.0346 ≈ 2.17
p-value = 2 * P ( Z > - 2.17 ) ( using excel function ; NORMSDIST )
= 2 * 0.015 = 0.03
A culture of bacteria has an initial population of 35000 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 3 hours, to the nearest whole number?
Answer:43090
Step-by-step explanation: Pt=35000*2 3/10
Pt= 43090.0545
Aubrey is going to invest $160 and leave it in an account for 7 years. Assuming the interest is compounded daily, what interest rate, to the nearest tenth of a percent, would be required in order for Aubrey to end up with $220?
Answer:
4.5%
Step-by-step explanation:
compound interest formula:
[tex]PV(1+\frac{i}{n})^{t*n}[/tex]
[tex]220=160(1+\frac{x}{365})^{365*7}\\\\1.375=(1+\frac{x}{365})^{2555}\\1.0001246=1+\frac{x}{365}\\x=.0454962254126[/tex]
this rounds to
x=4.5%
Aubrey would need an interest rate of 6.3%.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
A = P [tex](1 + r/n)^{nt}[/tex]
A = the final amount (in this case, $220)
P = the initial investment (in this case, $160)
r = the interest rate (what we are trying to find)
n = the number of times the interest is compounded per year (since it's compounded daily, n = 365)
t = the time period (in years, in this case, 7)
Substituting in the given values and solving for r:
220 = 160(1 + r/365)^(3657)
220/160 = (1 + r/365)^(3657)
1.375 = (1 + r/365)^2555
ln(1.375) = 2555 ln(1 + r/365)
ln(1 + r/365) = ln(1.375)/2555
1 + r/365 = e^(ln(1.375)/2555)
r/365 = e^(ln(1.375)/2555) - 1
r = 365(e^(ln(1.375)/2555) - 1)
r ≈ 6.3%
Therefore,
Aubrey would need an interest rate of 6.3%.
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