Answer:
10
Step-by-step explanation:
he question lacks appropriate diagram. Find the diagram attached below.
From the isosceles triangle shown, we can see that it is made up of two right angled triangle.
Using the Pythagoras theorem to solve for the adjacent side of both right angled triangles we will have;
From the formula:
Hyp² = Opp²+Adj²
Adj² = Hyp² - Opp²
The hypotenuse and the opposite of both triangle is equal. Hence their adjacent side will also be equal.
Given Hypotenuse = √74
Opposite = 7
Adj² = Hyp²-Opp²
Adj² = (√74)² - 7²
Adj² = 74-49
Adj² = 25
Adj = √25
Adj = 5
The adjacent of both sides are equal
x = 2 × Adjacent side
x = 2(5)
x = 10
does anyone know this?
Answer:
v = u = 75.8
Step-by-step explanation:
If m∠A = (11x + 37)° and x = 13, find m∠A and classify the angle (acute, right, obtuse, straight). Someone give me the two answers for this problem.
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Answer:
obtuse, straight
Step-by-step explanation:
If you insist on two answers, there is only one pair of answers that are self-consistent:
obtuse, straight
__
m∠A = (11(13) +37)° = (143 +37)° = 180° . . . . a straight angle, also obtuse
What type of triangle is shown below?
73
90°
17
A. Acute
B. Obtuse
C. Right
D. Equilateral
Answer:
The answer is C. Right
find the diagonal that goes through the 3D shape.
Answer:
Diagonal = 13 yd
Step-by-step explanation:
The diagonal of the 3D shape can be solved using the extension of the pythagorean theorem, which is given as: d² = a² + b² + c²
Where,
a = 12 yd
b = 3 yd
c = 4 yd
d = diagonal
Plug in the values
d² = 12² + 3² + 4²
d² = 169
d = √169
d = 13 yd
total cost and interest for a loan
Breanna
Espanol
To purchase $13,900 worth of lab equipment for her business, Amy made a down payment of $1900 and took out a business
loan for the rest. After 3 years of paying monthly payments of $365.07, she finally paid off the loan.
Answer:
The total cost was $ 15,042.52, and the interest percentage applied on the loan was 8.22%.
Step-by-step explanation:
Given that to purchase $ 13,900 worth of lab equipment for her business, Amy made a down payment of $ 1900 and took out a business loan for the rest, and after 3 years of paying monthly payments of $ 365.07, she finally paid off the loan to determine the total cost and interest applied on the loan, the following calculation must be made:
(365.07 x 12 x 3) + 1900 = Total cost
4,380.84 x 3 + 1900 = Total cost
13,142.52 + 1900 = Total cost
15,042.52 = Total cost
13900 = 100
15042.52 = X
15042.52 x 100/13900 = X
1,504,252 / 13,900 = X
108.22 = X
Therefore, the total cost was $ 15,042.52, and the interest percentage applied on the loan was 8.22%.
someone please help me answer this!!
Answer:
c = 8.4m is the answer.
Step-by-step explanation:
a = 6m
b = 6m
c = ?
According to the Pythagorean theorem,
a² + b² = c²
6² + 6² = c²
36 + 36 = c²
c² = 72
c = 8.4m
∴ The mouse runs 8.4 m from the opposite corners of the room.
Answer:
8.5 m
Step-by-step explanation:
If you draw the segment from one corner to the opposite corner, you'll have the hypotenuse of a triangle with two legs of 6 m. We can find the length of the hypotenuse using the Pythagorean Theorem.
a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
c^2 = 72
c = sqrt(72)
c = 6sqrt(2) = 8.5
Answer: 8.5 m
A random sample of 30 males with online dating profiles are recruited for a study about lying in online dating profiles. Each male's actual height is measured and compared to the height posted in their online profile. The difference between the online profile height and the actual height (profile- actual) for each male is computed. The mean difference in height is determined to be 0.57 inches with a standard deviation of 0.81 inches. Determine a 95% confidence interval for the difference in mean profile height and mean actual height of online daters.
Answer:
The 95% confidence interval for the difference in mean profile height and mean actual height of online daters is between 0.27 and 0.87 inches.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 30 - 1 = 29
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 29 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0452
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0452\frac{0.81}{\sqrt{30}} = 0.3[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.57 - 0.3 = 0.27 inches.
The upper end of the interval is the sample mean added to M. So it is 0.57 + 0.3 = 0.87 inches.
The 95% confidence interval for the difference in mean profile height and mean actual height of online daters is between 0.27 and 0.87 inches.
Please help me (Just to inform you I took this once and D is not the correct answer) I’ll give brainalist + points
Answer:c
Step-by-step explanation:
One week Carlos bought 2 packages of dog bones and 4 packages of cat treats for $18.50. Because the finicky cats didn’t like the cat treats, the next week Carlos returned 3 unopened packages of cat treats and bought 2 more packages of dog bones. After being refunded for the cat treats, Carlos only had to pay $1.00 for his purchase. Based on this information, figure out the price of each item. Explain your reasoning.
Answer:
1 package of dog bones = 4.875
1 package of cat treats = 2.1875
Step-by-step explanation:
you add the $1 to the 18.50 = 19.50 these are the amount of money for 4 bags of dog food. you take away all the dog food(4) from it = 8.75 divide by 4 for the 4 bags of cat food= 2.1875
sorry I'm very bad at explaining you can put it in your own words
Answer:
Not an answer but OMG
Step-by-step explanation:
I love the Whitty profile pic :)
PLEASE LOOK AT THE IMAGE BELOW (I MARK BRAINLIEST!)
Answer:
1.True
2.False
3.False
Step-by-step explanation:
1. b is less down the number line than a
2. a is more down the number line and the positive version is higher
3. positive is bigger than negative
Ms. Carey is planning to host a neighborhood picnic. To make sure she had enough ingredients, she was making a table of possible combinations of dried fruit to peanuts for her terrific trail mix. The table shows the original recipe’s ratio of dried fruit to peanuts. What numbers are missing in the table?
Question 5 options:
5 and 48
21 and 35
6 and 10
21 and 62
Answer:
5 and 48
Step-by-step explanation:
27:45
Simplify the ratio
3:5
The first one must be 5, and option 1 (5 and 48) is the only one with 5.
pls help me on this !!!
Answer:
9
Step-by-step explanation:
To solve this question you need the formula of hypothenuse theorem, I personally use [tex]a^{2} + b^{2} = c^{2}[/tex].
Since [tex]c^{2}[/tex] is the hypothenuse, and the hypothenuse in this case is 15, the equation will be [tex]12^{2}+ b^{2} = 15^{2}[/tex].
144+[tex]b^{2}[/tex]=225
subtract 144 from both sides
[tex]b^{2}[/tex]= 81
[tex]\sqrt{b^{} } = \sqrt{81}[/tex]
b=9
You deposit $2000 in an account that pays 7% interest compounded semiannually. After 5 years, the interest rate is increased to 7.28% compounded quarterly. What will be the value of the account after a total of 10 years?
The value of the account will be $_____. (Round to the nearest dollar as needed.)
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Answer:
$4047
Step-by-step explanation:
For an interest rate r compounded n times per year for t years, the effective multiplier is ...
(1 +r/n)^(nt)
The multiplier for the first 5 years is ...
(1 +0.07/2)^(2·5) = 1.41059876
The multiplier for the last 5 years is ...
(1 +0.0728/4)^(4·5) = 1.43437218
Then the account value at the end of 10 years is ...
$2000(1.41059876)(1.43437218) ≈ $4047 . . . . balance after 10 years
) Study cited that the calcium levels in men and women ages 70 years or older are summarized that sample size of 55 men with mean 785 and standard deviation 489 and sample size of 40 women with mean 670 and standard deviation of 419, what is the probability of obtaining a difference between sample means of 110 mg or more?
Answer:
0.5188 = 51.88% probability of obtaining a difference between sample means of 110 mg or more
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution, the central limit theorem and difference between normal variables.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
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 p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction of normal sample means:
When we subtract two distribution of the sample means, which are normal, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of standard errors squared.
Sample size of 55 men with mean 785 and standard deviation 489
This means that:
[tex]\mu_A = 785[/tex]
[tex]s_A = \frac{489}{\sqrt{55}} = 65.9367[/tex]
Sample size of 40 women with mean 670 and standard deviation of 419
This means that:
[tex]\mu_B = 670[/tex]
[tex]s_B = \frac{419}{\sqrt{40}} = 66.2497[/tex]
Difference between sample means:
The mean and the standard deviation are, respectively:
[tex]\mu = \mu_A - \mu_B = 785 - 670 = 115[/tex]
[tex]\sigma = \sqrt{s_A^2+s_B^2} = \sqrt{65.9367^2+66.2497^2} = 93.47[/tex]
What is the probability of obtaining a difference between sample means of 110 mg or more?
This is 1 subtracted by the pvalue of Z when X = 110. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{110 - 115}{93.47}[/tex]
[tex]Z = -0.053[/tex]
[tex]Z = -0.053[/tex] has a pvalue of 0.4812.
1 - 0.4812 = 0.5188
0.5188 = 51.88% probability of obtaining a difference between sample means of 110 mg or more
Find the area of the smaller sector round to the nearest tenth. Need help fast!!
The area of the sector is 76. 95 m
How to determine the area of a sector
Using the formula;
Area of sector of a circle = /360° (r2)
where r is the radius of the circle
is the angle of the sector
From the diagram,
= 77°
r = 10. 7m
= 3. 142
Substitute into the formula
Area of the sector = 77/ 360° * (3. 142* 10. 7 * 10. 7)
Area of the sector = 0. 2139 * 359. 72
Area of the sector = 76. 95 m
Thus, the area of the sector is 76. 95 m
Learn more about the area of a sector here:
https://brainly.com/question/22972014
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1. At the post office, Tiffany paid $11.04 for 24 stamps. At this rate, how much Would it cost Tiffany to buy 18 stamps?
A. $0.46 B. $2.76 C. $8.28 D.$17.64
2. A group of friends hiked 7 miles in 2 hours. At this same rate, what is the total number of miles they can hike in 8 hours?
a. 40 Miles
b. 28 miles
C. 11 miles
D. 9 miles
Giving brainly to Who every answer this question Please explain
Answer:
For question one: $8.28
For question two: 28 miles
Step-by-step explanation:
For question one: You divide 11.04 by 24 to get .46 the multiply that .46 by 18 to get 8.28
For question two: The ratio between the two is 7/2 and x/8. So to find x, you divide 8 by 2, getting 4. Then multiply that 4 by 7 to get 28.
From Barbie dolls to runway models, women in Western countries are exposed to unrealistically thin and arguably unhealthy body standards for their gender. A body mass index (BMI) between 18.5 and 24.9 is considered healthy. Using a 3D computer avatar, participants built what they considered the ideal body of an adult of their own gender. Below appears a summary of the results for a sample of 40 female heterosexual Caucasian undergraduate students from British universities that had been recruited by the researchers. Mean BMI was recorded to be 18.85 with standard deviation 1.75. Does the data provide evidence that young Caucasian women in British Universities, on average, aim for an unhealthy ideal body type (corresponding to a BMI less than 18.5)? Use α = 0.10.
Required:
a. Construct a 99% confidence interval for the mean BMI for young Caucasian women in British universities using R. Use at least 2 decimals in your answer.
b. Would a 99% CI (for the mean BMI) constructed using a smaller sample than the one used for part a) tend to be wider or narrower? Explain.
Answer:
(18.1361 ; 19.5639) ;
using a smaller sample will widen the margin
Step-by-step explanation:
Given :
Xbar = 18.85
Standard deviation, s = 1.75
Sample size, n = 40
Confidence interval is obtained using the relation :
Xbar ± Margin of error
Margin of Error = Zcritical * s/ √n
Zcritical at 99% = 2.58
Margin of error = 2.58 * (1.75/√40) = 0.7139
Lower boundary = 18.85 - 0.7139 = 18.1361
Upper boundary = 18.85 + 0.7139 = 19.5639
(18.1361 ; 19.5639)
B.)
The sample size, n being the denominator in the margin error formula increases the error value as it reduces or decreases in value Hence widens the interval. Conversely, increasing the sample size reduces the error margin value and ultimately narrows the interval.
Therefore, using a smaller sample will widen the margin
PLEASE HELP !! ILL GIVE BRAINLIEST !! Ohh
Answer: Angle VUW and QRP are alternate exterior angles.
They are both exterior and are on alternate sides of the transversal.
Hope this helps!
Which figure has just one line of symmetry?
1. B
2. A
3. D
4. C
Answer:
C
Step-by-step explanation:
Does anyone know what the answer please?
Answer:
[tex]\angle 1 \cong \angle 7[/tex]
Step-by-step explanation:
We proceed to present which angles corresponds with [tex]\angle 7[/tex], accompained with reason based on Theorems used in Euclidean Geometry. Two angles are correspondent if and only if are in the same side of the secant line, one of them is internal and the other one is external.
Hence, we conclude that [tex]\angle 1 \cong \angle 7[/tex].
Solve, using a proportion. If Joe travels 434 miles in 7 hours, how far will he travel in 10 hours at the same speed? miles Enter
Answer:
Step-by-step explana
Answer:
Step-by-step explanation:
What is the answer
How much interest would $1,000 earn in one year at a rate of 6%, compounded annually? What would be the new balance?
Please, help me!
Answer:
The investment will generate $ 60 in interest, with which the new balance will be $ 1060.
Step-by-step explanation:
To determine how much interest would $ 1,000 earn in one year at a rate of 6%, compounded annually, and what would be the new balance, the following calculations must be performed:
1000 x (1 + 0.06 / 1) ^ 1x1 = X
1000 x 1.06 ^ 1 = X
1000 x 1.06 = X
1060 = X
Therefore, the investment will generate $ 60 in interest, with which the new balance will be $ 1060.
please help answer
Can someone help me on this ASAP pls I really need to know this
Answer:
A is bethel
B is below sea level by 22 feet
C is I would describe the elevation very low lowest elevation in North America
D is 0 the elevation is right at sea level.
E is has a lower elevation and is one of the lowest major cities in the entire United States.
Step-by-step explanation:
1. Determine the area under the standard normal curve to the left of z=2.10.
PLEASE I HAVE TO TURN IT IN
What is the slopes of the triangles (I’ll report you if you answer with a link)
Answer:
The slope of the line is 1.
Step-by-step explanation:
The triangles don’t have a slope. They help you find the slope of the line.
slope = rise over run
2/2=1
3/3=1
Whichever triangle you use, the slope of the line is 1.
hey can someone please help me i don’t understand this? the question says “find the surface area of the rectangular prism.”
Answer:
170 in^2
Step-by-step explanation:
you have to find the area of each surface of the square
1) the square on the right side:
5x5=25 in^2
there are 2 of these on opposite sides
2)the of the rectangle facing us;
6x5=30in^2 (5 because 5 is the height)
there are 4 of these
3)add up all the areas
25+25+30+30+30+30=170in^2
. You want to buy a new pair of shoes. You have a coupon for $15 off. Once you get to the store, you realize your shoes are on sale for 20% off, but you can't use both the sale price and the coupon. Which discount would offer a better deal if the original price of the shoes is $150? Explain your decision.
Answer:
I would use the sale price.
Step-by-step explanation:
20% of 150 is 30. So, you get $30 off if you use the sale price rather then the $15 coupon.
I need the value of Y
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Answer:
y = 6
Step-by-step explanation:
Let's call the marked angles A, B, C, clockwise from upper left.
Along the vertical transversal, we observe that A+90° and C are alternate exterior angles, so are congruent. This lets us find a value for x.
A+90 = C
4x +90 = 11x -8
98 = 7x
14 = x
Then angle A is ...
A = 4x° = 4(14)° = 56°
__
Along the horizontal transversal, we observe that A and B are alternate exterior angles, so are congruent. This lets us find a value for y.
A = B
56° = (9y +2)°
54 = 9y
6 = y
The value of y is 6.
What is 2/3x2/5pls I need an answer fast sorry I suck at math
Answer:
4 /1 5 also 0.26666666666
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD