Completion of question:
The Demon Drop at Cedar point in Ohio takes riders to the top of the tower and drops them 60 feet. A function that approximates this ride is h=-16^t2 + 64t + 60 where h is the height in feet and t is the time in seconds. About how many seconds does it take for riders to drop to the ground?
Answer:
4.78 s
Step-by-step explanation:
Given the equation :
h = - 16^t2 + 64t + 60
Using the quadratic formula ; where
a = - 16 ; b = 64 ; c = 60
Dropping to the ground, h = 0
16^t2 + 64t - 60 = 0
-b ± (√b²- 4ac) / 2a
-64 ± (√64²- 4(-16)(60)) / 2(-16)
-64 ± (√7936) / - 32
(-64 ± 89.08) / - 32
(-64 + 89.08) / - 32 = - 0.783 OR
(-64 - 89.08) / - 32 = 4.78
Reject the negative
t = 0.783 seconds
the perimeter of a rectangular garage is 18 meters. The garage is 4 meters wide how long is it
Answer: 5 meters long
Step-by-step explanation:
18 - 2 (4) = 10
10/2 = 5 meters
Which choices are equivalent to the fraction below? Check all that apply.
39
A. O
O B. 31
C. 318
✓ D. 1
O E. 30
Answer:
I believe it'll be A and E.
hope this helps!
Answer:
D and E
Step-by-step explanation:
Using the rules of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , [tex]a^{0}[/tex] = 1
Then
[tex]\frac{3^{9} }{3^{9} }[/tex]
= [tex]3^{(9-9)}[/tex]
= [tex]3^{0}[/tex] → E
= 1 → D
Kenan bought 186 shares at $25.94 each add them for a lovet at $2344,
A.What was his groas capital loss?
b. What was the percent of loss?
Answer:
$-2480.84
51.4%
Step-by-step explanation:
Gross loss = selling price - cost price
cost price = price per unit x total unit bought
186 x 25.94 = $4824.84
$2344 - $4824.84 = $-2480.84
Percent loss = $-2480.84 / $4824.84 x 100 = 51.4%
In 4 hours Cassie can make 6 bead bracelets. What is her rate per hour?
Answer:
1.5 bead bracelets per hour
Step-by-step explanation:
6 bead bracelets / 4 hours = [tex]\frac{\frac{6}{4}}{\frac{4}{4}}[/tex]=[tex]\frac{1.5}{1}[/tex]
The rate in per hour is 1.5.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
In 4 hours Cassie can make 6 bead bracelets.
Now,
Since, 6 bead bracelets are make in 4 hours.
So, The rate per hour is calculated as;
Rate = 6/4
= 1.5
Thus, The rate in per hour is 1.5.
Learn more about the divide visit:
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LAST QUESTION NEED HELP ASAP IM TIMED
What is the degree measure of FEG?
A 20°
B 31°
C 56°
D
124°
Answer:
C) 56
Step-by-step explanation:
DEG and FEG are on a straight line forming 180 degree.
Set your formula up as
180 = (3x+31)+(2x-6)
180 = 3x +2x +31 - 6
180 - 31 + 6 = 5x
155 = 5x
155/5 = x
31 = x
Now substitute 31 in place of x
FEG = (2*31-6)
FEG = 56
can someone help me on this
Answer:
[tex] \frac{3}{4} = \frac{9}{12} [/tex]
[tex] \frac{1}{3} = \frac{2}{6} [/tex]
[tex] \frac{2}{4} = \frac{4}{8} [/tex]
Step-by-step explanation:
To generate equivalent fractions, you can either multiply the numerator and denominator by the same number or divide the numerator and denominator by a number provided the numerator and denominator remains whole number.
Let's solve the given problem:
Problem 1:
[tex] \frac{3}{4} = \frac{x}{12} [/tex]
To find the numerator that will make the fractions equivalent, the numerator would be multiplied by the same number that was used to multiply the denominator of the first fraction (4), from which the denominator of the second fraction (12) was gotten.
Here, the denominator of the first fraction, 4, was multiplied by 3 to get the denominator of the second fraction = 12.
Therefore, the numerator of the second fraction would be gotten by multiplying the numerator of the first fraction, 3 by 3 = 9.
Thus:
[tex] \frac{3}{4} = \frac{3*3}{4*3} [/tex]
[tex] \frac{3}{4} = \frac{9}{12} [/tex]
Both fractions are now equivalent because they now have the same value. 3÷4 will give you the same value as 9÷12.
Problem 2:
[tex] \frac{1}{3} = \frac{2}{x} [/tex]
The numerator, 1, was multiplied by 2 to get 2.
Therefore:
[tex] \frac{1}{3} = \frac{1*2}{3*2} [/tex]
[tex] \frac{1}{3} = \frac{2}{6} [/tex]
Problem 3:
[tex] \frac{2}{4} = \frac{x}{y} [/tex]
We can either divide the denominator and numerator by the same number which should remain a whole number, or multiply the denominator and numerator by the same number.
Let's multiply by 2 to get am equivalent fraction.
[tex] \frac{2}{4} = \frac{2*2}{4*2} [/tex]
[tex] \frac{2}{4} = \frac{4}{8} [/tex]
The spinner is divided into 5 equal sections. Trina is going to spin the arrow once.
red
green
yellow
red
What is the probability that the arrow will land on a red section?
A 20%
B. 25%
C. 40%
D. 50%
E. 67%
Answer:
Did you mean 4 equal sections, not 5 equal sections?
Step-by-step explanation:
Did you mean 4 equal sections, not 5 equal sections?
Answer:
ther answer is 100% c
Step-by-step explanation:
i did the test
Find the missing lengths.
Answer:
that angle is 45°
so y = 5√3
and × = √2×y
x= √2 × 5√3
x=5√6
Pwease help i will give you brain thing if its correct ♡
Answer:
1. A, B, C, E
2.Im not sure I think A
hope this helps
have a good day :)
Step-by-step explanation:
Select all numbers that are solutions to the inequality k > 5 a 4
b 5
c 6
d 5.01
e 5.2
f 0.5
Answer: C D E
Step-by-step explanation:
Chris borrowed $1,525 for a new stereo system. He will make 10 payments of $175 to repay the loan. How much will he pay in interest
Answer:
He will pay 225 in interest
Step-by-step explanation:
found on quizlet
It takes 5/8 can of paint to paint a wall. How many complete walls can I paint with 5 1/2 cans of paint? How much will be left over?
Answer:
8 complete walls with 1/5 can of paint remaining
Step-by-step explanation:
5 1/2 ÷ 5/8 = 11/2 × 8/5 = 44/5 or 8 4/5
The rectangle below has an area of zº +82 + 15 square meters and a width of 2 + 3 meters.
What expression represents the length of the rectangle?
Length
2 +3
2° +8x + 15
Length
meters
Answer:
(x + 5) m
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = (x² + 8x + 15) m²
Width (W) = (x + 3) m
Length (L) =?
The lenght of the rectangle can be obtained as follow:
A = L × W
x² + 8x + 15 = L (x + 3)
Divide both side by x + 3
L = x² + 8x + 15 / x + 3
L = (x + 5) m
Please attached photo for explanation.
Therefore, the length of the rectangle is: (x + 5) m
Tiffany earns an annual income of $55,000. After she pays taxes, her take home pay is $41,800. What
percentage of her annual income does Tiffany pay in taxes?
Answer:
24%
Step-by-step explanation:
Taxes
t = 55000 - 41800
t = 13200
% tax
p = 13200/55000 * 100
p = 24%
Will give brainleist please. Help ±
Answer:
it is a
Step-by-step explanation: i gotchu
Answer:
a
Step-by-step explanation:
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PLZ HELPPPPPPPPPPP MEEEEEEEEE
y = 3x + 5
2y = 4x + 24
Step-by-step explanation:
what do you need explain graphing them
twice y is at most 29
Answer:
2t=29
Step-by-step explanation:
the phrase is at most means we set the constant 29 less than or equal to the term 2t using the (<=) operator
A right rectangular prism has a width of 4 inches, a length of 3 inches, and a height of 12 inches.
What is the volume of the prism? Use the formula V=Ixwxh.
A. 692 in
B. 144 in
C. 145 in
OD. 168 in
Answer:
144
Step-by-step explanation:
Using the formula they gave of V= l*w*h
w=4, l=3, and h=12
3*4*12=12*12=144in^3
Answer:
B. 144
Step-by-step explanation:
Using the formula given (Volume= Length x Width x Height), you will get the equation of 3 x 4 x12. 3 x 4 = 12 and 12 x 12 is 144.
A newspaper article indicated that 43 percent of cars with black seats are white, 46 percent of cars with black seats are blue, 7 percent of cars with black seats are red, and 4 percent of cars with black seats are black. A test was conducted to investigate whether the color of cars with black seats was consistent with the newspaper article. A random sample of cars of these colors was selected, and the value of the chi-square test statistic was
Complete question :
A newspaper article indicated that 43 percent of cars with black seats are white, 46 percent of cars with black seats are blue, 7 percent of cars with black seats are red, and 4 percent of cars with black seats are black. A test was conducted to investigate whether the color of cars with black seats was consistent with the newspaper article. A random sample of cars of these colors was selected, and the value of the chi-square test statistic was x = 8.2. Which of the following represents the p-value for the test?
A) P(x2 ≥ 8.2) = 0.08
B) P(x2 ≥ 8.2) = 0.04
C) P(x2 ≤ 8.2) = 0.96
D) P (x2 = 8.2) = 0.00
E) The p-value cannot be calculated because the sample size is not given.
Answer:
P(χ² ≥ 8.2) = 0.04
Step-by-step explanation:
We need to obtain the degree of freedom ;
Number of levels, k - 1
k = (white, blue, red, black) = 4
df = k - 1= 4 - 1 = 3
The test statistic, χ² = 8.2
The Pvalue is the probability of a Chisquare statistic with 3 degree of freedom is equal to or more extreme than the statistic value, 8.2
Using the Pvalue for calculator from Chisquare statistic, at 3 degree of freedom
Pvalue(8.2, 3) = 0.042
Hence,
P(χ² ≥ 8.2) = 0.04
solve this answer
2/3 + 4/6
Step 1
Now we need to make our denominators match.
6 goes into 3 evenly, so we only need to multiply one term to get a common denominator.
Multiply 2 by 2, and get 4, then we multiply 3 by 2 and get 6.
We now have a new problem, that looks like this: 4/6+4/6
Step 2
Since our denominators match, we can add the numerators.
4 + 4 = 8
That gives us the sum, which is 8/6
Step 3
Now, do we need to simplify this fraction?
First, we attempt to divide it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
8/6÷ 2 = 4/3
Let's try dividing by that again...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
No good. 5 is larger than 4. So we're done reducing.
There you have it! Here's the final answer to 2/3 + 4/6
.a) Imagine you and your friend get a new card with an 18% APR and a $10 minimum payment and use this card to purchase the same mobile phone. If the first friend pays the minimum each month, while the second friend pays $20, what will their balances be after one month?
Answer:
yes
Step-by-step explanation:
yes yes you need to do the thing yeah
Answer:
yes
Step-by-step explanation:
a) Imagine you and your friend get a new card with an 18% APR and a $10 minimum payment and use this card to purchase the same mobile phone. If the first friend pays the minimum each month, while the second friend pays $20, what will their balances be after one month?
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options.
6 feet by 2 feet by 3 feet
6 feet by 5 feet by 4 feet
7 feet by 6 feet by 4 feet
8 feet by 3 feet by 7 feet
8 feet by 4 feet by 3 feet
Answer
B. 6 feet by 5 feet by 4 feet
C. 7 feet by 6 feet by 4 feet
D. 8 feet by 3 feet by 7 feet
Answer:b c d
Step-by-step explanation:
conformidad
Round 684,321 to the nearest hundred thousand.
Answer:
700,000 SHEEEEEEEEEEEEEESH
The two triangles below are congruent by which case of congruence?
O SSA
O SAS
O ASA
SSS
Answer:
SSS
Step-by-step explanation:
SSS
You may need to use the appropriate technology to answer this question.
Health insurance benefits vary by the size of the company. The sample data below show the number of companies providing health insurance for small, medium, and large companies. For purposes of this study, small companies are companies that have fewer than 100 employees. Medium-sized companies have 100 to 999 employees, and large companies have 1,000 or more employees.
The questionnaire sent to 225 employees asked whether or not the employee had health insurance and then asked the employee to indicate the size of the company.
Health Insurance Size of the Company
Small Medium Large
Yes 30 59 82
No 20 16 18
(a) Conduct a test of independence to determine whether health insurance coverage is independent of the size of the company.
State the null and alternative hypotheses.
H0: Having health insurance is not independent of the size of the company.
Ha: Having health insurance is independent of the size of the company. H0: Having health insurance is not independent of the size of the company.
Ha: The proportion of companies with health insurance benefits is not equal for small, medium and large companies. H0: Having health insurance is independent of the size of the company.
Ha: The proportion of companies with health insurance benefits is equal for small, medium and large companies.H0: Having health insurance is independent of the size of the company.
Ha: Having health insurance is not independent of the size of the company.
Find the value of the test statistic. (Round your answer to three decimal places.)
What is the p-value? (Round your answer to four decimal places.)
p-value =
Using a 0.05 level of significance, what is your conclusion?
Do not reject H0. We cannot conclude health insurance coverage and the size of the company are not independent.Do not reject H0. We cannot conclude health insurance coverage is independent of the size of the company. Reject H0. We conclude health insurance coverage is independent of the size of the company. Reject H0. We conclude health insurance coverage is not independent of the size of the company.
(b) A newspaper article indicated employees of small companies are more likely to lack health insurance coverage. Use percentages based on the above data to support this conclusion. (Round your answers to the nearest integer.)
For small companies, % do not provide health insurance. For medium companies, % do not provide health insurance. For large companies, % do not provide health insurance. These percentages support the conclusion that small companies are ---Select--- less more equally likely to provide health insurance coverage when compared to medium and large companies.
Answer:
H0: Having health insurance is independent of the size of the company.
Ha: Having health insurance is not independent of the size of the company.
χ²= 9.284
The corresponding p-value for the test is = 0.0096
Reject H0. We conclude health insurance coverage is not independent of the size of the company.
For small companies, 40% do not provide health insurance. For medium companies, 11.4% do not provide health insurance. For large companies,18 % do not provide health insurance.
These percentages support the conclusion that small companies are less more equally likely to provide health insurance coverage when compared to medium and large companies.
Step-by-step explanation:
small medium large Total
yes 30 59 82 171
no 20 16 18 54
Total: 50 75 100 225
Expected Values small medium large Total
yes { 50* 171/225} = 38 57 76 171
no 12 18 24 54
Total 50 75 100 225
Squared Distances small medium large
yes {(30 - 38)^2}/38
= 1.684 0.07 0.474
no {(20 - 12)^2} /12
= 5.333 0.22 1.5
1) The null and alternative hypotheses can be formulated as
H0: Having health insurance is independent of the size of the company.
Ha: Having health insurance is not independent of the size of the company.
(2) the significance level is alpha =0.05 ,
the number of degrees of freedom is df = (2 - 1) * (3 - 1) = 2df
so then the rejection region for this test is χ 2 :χ 2 >5.991.
3) Test Statistics under H0 is
χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency
4) χ²= 1.684+5.333+0.07+0.222+0.474+1.5
= 9.284
Since it is observed that χ²=9.284 >χ²= 5.991 it is concluded that the null hypothesis is rejected.
5) Conclusion
It is concluded that the null hypothesis H0 is rejected. Therefore, there is not enough evidence to claim that the two variables are dependent at 0.05 significance level.
The corresponding p-value for the test is = 0.0096
b) The percentages of
Small %= 20/50= 0.4= 40%
Medium %= 16/75 = 0.786= 11.4%
Large %= 18/100= 0.18= 18%
For small companies, 40% do not provide health insurance. For medium companies, 11.4% do not provide health insurance. For large companies,18 % do not provide health insurance.
These percentages support the conclusion that small companies are less more equally likely to provide health insurance coverage when compared to medium and large companies.
Add.
(-8y2 + 7y? - 4y - 6) + (3y + 5y3)
us.
Answer:
3y²+4y²-4y-6
Step-by-step explanation:
please help!!
-will award brainliest
A. infinite set of points on the line
B. {} or empty set
C. point in quadrant 2
9514 1404 393
Answer:
A. infinite set of points on the line
Step-by-step explanation:
If we assume you're interested in the set of points that are on both lines a and b, that is ...
infinite set of points on the line
The lines are identical lines, so each of the infinite number of points on one of them is also on the other of them.
HELP HELP HELP ME YOU'LL GET 50+ BRAINLIEST POINTS PLEASE HELP ME PLEASE PLEASE ANSWER CORRECTLY PLEASE
