Answer:
height: 7 in
base: 14 in
Step-by-step explanation:
Let the height of the triangle equal x. This means that the base can be represented by the expression 2x. Now we plug these values into the area formula for a triangle:
A = bh / 2
49 = x * 2x / 2
And simplify
49 = x^2
We can find the square root of both sides to get x = 7, so the height is 7 inches. Since the base is twice the height, it is 14 inches.
Answer:
[tex]h=7,\\b=14[/tex]
Step-by-step explanation:
Since the base is twice as long as the height, set up the following proportion:
[tex]b=2h[/tex].
The area of the a right triangle is equal to [tex]A=\frac{1}{2}bh[/tex], where [tex]b[/tex] is a base of the triangle and [tex]h[/tex] is the respective height.
To solve for height, set up the equation (substituing [tex]b=2h[/tex]:
[tex]\frac{1}{2}\cdot2h\cdot h=49,\\2h^2=98,\\h^2=49,\\h=\boxed{7}[/tex]
To solve for base, substitute [tex]h=7[/tex] in the proportion [tex]b=2h[/tex]:
[tex]b=2(7),\\b=\boxed{14}[/tex]
Which types of triangles can have three angles that measure less than 90°?
acute triangle
equilateral triangle
right triangle
isosceles triangle
Answer:
An acute triangle
Step-by-step explanation:
Exercise 21.4
Write each of the following quadratic expressions in the form afx+p+
2. 6-2
1. 2r-58-12
4. 4-9-9
3. 20+ 6x-2
5. 3x² - 7x + 4
6. 7y + 19y-6
8. 107 + 9x + 2
7. 22 +51-42
9. 6 + 16x + 10
10.12716
5 Construction and simplification of formulae ar
quatil
inno
Answer:
B
Step-by-step explanation:
Sjdxdbnjenide because x029w09
Fatimah has 40 coins. Some of the coins are 50c coins and the rest are 20c coins. The total value is $16.10. How many 50c coins does Fatimah have?
Answer:
number of 50c = x
number of 20c = y
total coins 40
x +y = 40 ------(1)
0.5x + 0.2y = 16.10 ------(2)
from (1) => x = 40 - y
substitute x in (2)
0.5(40 -y) + 0.2y = 16.10
20 - 0.5y + 0.2y = 16.10
-0.3y = -3.9
y = 13
from (1) => x = 27
Answer: number of 50c = 27 coins
IF ITS RIGHT ILL MARK BRAINLIEST
Answer:
Answer is 12
Step-by-step explanation:
angle BCF+angle CFE=180(being co-interior angle)
4x+11x=180
15x=180
x=180/15
x=12
Elliot read a report from a previous year saying that 6%, percent of adults in his city biked to work. He wants to test whether this has changed, so he is going to take a random sample of adults in his city and see what percent of them bike to work. Let p represent the proportion of adults in Elliot's city that bike to work.
Required:
What is an appropriate set of hypotheses for his significance test?
Answer:
The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]
Step-by-step explanation:
Elliot read a report from a previous year saying that 6%, percent of adults in his city biked to work. He wants to test whether this proportion has changed.
At the null hypothesis we test if the proportion is still the same, that is, of 6%. So
[tex]H_0: p = 0.06[/tex]
At the alternate hypothesis, we test if the proportion has changed, that is, it is different of 6%. So
[tex]H_1: p \neq 0.06[/tex]
What is an appropriate set of hypotheses for his significance test?
The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]
CORRECT (SELECTED)
z=\dfrac{0.1-0.06}{\sqrt{\dfrac{0.06(0.94)}{240}}}z=
240
0.06(0.94)
0.1−0.06
What is the unit of measurement for volume? a. units c. cubic units b. units squared d. centimeters
Please answer for brainliest [answer number 2]
Answer:
4
Step-by-step explanation:
Clara goes miniature golfing. She pays $7.50 for
admission ticket and $6.25 for each round she golfs.
The total amount Clara pays for admission and the
number of rounds she golfs is $26.25. Which equation
can be used to determine the number of rounds, x, that
Clara golfs?
A) 6.25x + 7.50 = 26.50
B 6.25x = 7.50 = 26.25
C) 7.50x + 6.25 = 26.25
D) 7.50x - 6.25 = 26.25
Answer:A
Step-by-step explanation:
She has to pay 7.50 for admission and golf is 6.25 each round. We don’t know how many rounds she golfs so it will be 6.25x.
If a rectangle has a length of 10 cm and a width of 12 cm, what is it's perimeter () and area
Answer:
p=44,A=120
Step-by-step explanation:
P=10+12+10+12
P=44cm
A=10*12
A=120cm^2
A binomial experiment is given. Determine whether you can use a normal distribution to approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot, explain why. A survey of U.S. adults found that 37% have been to court. You randomly select 30 U.S. adults and ask them whether they have been to court.
Answer:
Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], you can use a normal distribution to approximate the binomial distribution.
The mean is of 11.1 and the standard deviation is of 2.64.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Using the normal distribution to approximate the binomial distribution.
This is possible if:
[tex]np \geq 10, n(1-p) \geq 10[/tex]
A survey of U.S. adults found that 37% have been to court. You randomly select 30 U.S.
This means that [tex]p = 0.37, n = 30[/tex]
Test if it is possible:
[tex]np = 30*0.37 = 11.1[/tex]
[tex]n(1-p) = 30*0.63 = 18.9[/tex]
Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], you can use a normal distribution to approximate the binomial distribution.
Mean and standard deviation:
[tex]E(X) = np = 30*0.37 = 11.1[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.37*0.63} = 2.64[/tex]
The mean is of 11.1 and the standard deviation is of 2.64.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Robin, Steven, and John are comparing tree diagrams for rolling double sixes on two six-sided number cubes (6, 6). Robin thinks the probability is 136 based on the tree diagram they created. Steven disagrees and argues that the probability of rolling double sixes is 16. John counts twelve outcomes and claims the probability is 112.
Who correctly found the probability of rolling double sixes using the tree diagram?
A
Robin because there are 36 outcomes and only one is (6, 6).
B
Steven because there are 6 outcomes and only one is (6, 6).
C
Steven because there are 36 outcomes and six of them are (6, 6).
D
John because there are 6 outcomes for each and only one is (6, 6).
Answer:
A. Robin because there are 36 outcomes and only one is (6, 6).Step-by-step explanation:
You would get the probability of double sixes as:
P(6, 6) = 1/6*1/6 = 1/36Correct choice is A
The Robin because there are 36 outcomes and only one is (6, 6) is the correct option.
We have given that,
Robin, Steven, and John are comparing tree diagrams for rolling double sixes on two six-sided number cubes (6, 6).
Robin thinks the probability is 136 based on the tree diagram they created.
Steven disagrees and argues that the probability of rolling double sixes is 16.
John counts twelve outcomes and claims the probability is 112.
What is the probability?The formula to calculate the probability of an event is as follows. Probability(Event) = Favorable Outcomes/Total Outcomes
You would get the probability of double sixes as:
P(6, 6) = 1/6*1/6 = 1/36
Correct choice is A.
Therefore the Robin, because there are 36 outcomes and only one is (6, 6).
To learn more about the probability visit:
https://brainly.com/question/25870256
#SPJ2
Let x stand for the percentage of an individual student's math test score. 64 students were sampled at a time. The population mean is 78 percent and the population standard deviation is 14 percent. What is the standard deviation of the sampling distribution of sample means?
Answer:
[tex]\sigma_x= 1.75\%[/tex]
Step-by-step explanation:
Given
[tex]n = 64[/tex]
[tex]\mu = 78\%[/tex]
[tex]\sigma = 14\%[/tex]
Required
The sample standard deviation
This is calculated as:
[tex]\sigma_x= \frac{\sigma}{\sqrt n}[/tex]
This gives:
[tex]\sigma_x= \frac{14\%}{\sqrt {64}}[/tex]
[tex]\sigma_x= \frac{14\%}{8}[/tex]
[tex]\sigma_x= 1.75\%[/tex]
which graph is the graph of f(x) = 2 + 2?
Kay enters a cooking contest. As part of the contest, Kay must cook a dish using a randomly assigned meat and vegetable.
The table shows the sample space for the possible meat and vegetable combination she could be assigned.
steak, yams lamb, yams pork, yams tuna, yams salmon, yams
steak, corn lamb, corn pork, corn tuna, corn salmon, corn
steak, beets lamb, beets pork, beets tuna, beets salmon, beets
steak, peas lamb, peas pork, peas tuna, peas salmon, peas
The probability of Kay being assigned either steak or pork as the meat and corn as the vegetable is .
Answer:
2/20 or 1/10
Step-by-step explanation:
this is because there are only 2 options that have steak/pork with corn
Answer:it is 1/10
Step-by-step explanation:
don't ask how im not gonna give an explanation
Select ALL ordered pairs that are located in the first quadrant of the coordinate plane.
A (-3,8)
B (9,-7)
C (5,4)
D (2,6)
Answer:
C, D
Step-by-step explanation:
in the first coordinate plane, both numbers in a coordinate must be positive
3
47. Matt and Carla each spent $100 at the mall. Together they bought five sweaters and two pairs of pants
expressions
represent
the total cost of their purchases
A 100 - 5s
B. 100 - 2p
C. 5 + 2p
D. 7sp
Answer:
The total cost of their purchases is 5s + 2p = 100
Step-by-step explanation:
I am going to say that:
The price of a sweater is s.
The price of a pair of pants is p.
Matt and Carla each spent $100 at the mall. Together they bought five sweaters and two pairs of pants
5 sweaters: 5s
2 pairs of pants: 2p
Total:
5s + 2p
Since the total is 100:
5s + 2p = 100
The total cost of their purchases is 5s + 2p = 100
10. In a survey of 212 people at the local track and field championship, 72% favored the home team
winning
a. Find the margin of error for the survey.
b. Give the 95% confidence interval that is likely to contain the exact percent of all people who
favor the home team winning.
Answer:
a. The margin of error for the survey is of 0.0308 = 3.08%.
b. The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error of the survey is:
[tex]M = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The confidence interval can be written as:
[tex]\pi \pm zM[/tex]
In a survey of 212 people at the local track and field championship, 72% favored the home team winning.
This means that [tex]n = 212, \pi = 0.72[/tex]
a. Find the margin of error for the survey.
[tex]M = \sqrt{\frac{0.72*0.28}{212}} = 0.0308[/tex]
The margin of error for the survey is of 0.0308 = 3.08%.
b. Give the 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Lower bound:
[tex]\pi - zM = 0.72 - 1.96*0.0308 = 0.6596[/tex]
Upper bound:
[tex]\pi + zM = 0.72 + 1.96*0.0308 = 0.7804[/tex]
As percent:
0.6596*100% = 65.96%
0.7804*100% = 78.04%.
The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).
Find the missing side lengths. leave your answer as radicals simplest form
Answer:
Step-by-step explanation:
Both of the triangles are special 30-60-90 triangles
and the side lenghts for these angle mesurements are followed : q, q√(3),2q
q is given as 3 from the 9th question
so a = 6 (because it's 2q) and
b = 3
For the 10th question
the side length that sees 30 degrees is 3 which means q = 3 again
and x = 6
y = 3√(3)
an area that is 21 metre wide and 9 metre long is divided evenly into squares . what the greatest possible side length the squares that the area can be evenly divided into
Answer:
47 squares
Step-by-step explanation:
Looking at your question was quite confusing.
So, I'll assume that you're looking for the amount of squares that can fit within the specified area.
To find area: we would do A = L x W
So, our values are 21W and 9L.
Plug it in.
A = 21 x 9
A = 189 square meters
Then, we would find the number of squares that could fit in the area.
A square meter is a square with a side length of 1 meter on each side.
So, 1 x 4 = 4
Divide 189 by 4.
189/4 = 47.25
1/4 is the remainder.
So, our total is 47 squares.
Do please, tell me if I did it incorrectly, since the context is quite vague.
8) Tim earns $15.00 per hour at his job. Last week he earned $800. a) Write an equation that can be used to determine the number of hours that he worked last week. b) What is the number of hours he worked? T
Answer:
a= 800/15
b=53 hours round to nearest
Step-by-step explanation:
Plz help me well mark brainliest if correct....????
Answer:
C
Step-by-step explanation:
18 boys
Answer:
i think 18 msy be
Step-by-step explanation:
QUICK PLEASE!
What is the absolute value of -4?
Answer:
4
Step-by-step explanation:
the absolute value is the distance a number is from zero.
Answer:
Step-by-step explanation:
The absolute value of 4 is 4 and –3 is 3. Subtract the smaller number from the larger and you get 4 – 3 = 1. The larger absolute value in the equation was 4 or a positive number so you give the result a positive result. Therefore, the result of 4 + –3 = 1.
hope that helped, have a nice!
show correct answers only!! i need asap!!
Answer:
11 1/2 aka D
Step-by-step explanation:
add 7 and 4 which is 11, then add 1/4 and 1/4 which is 1/2
Answer:
D.) 11 1/2
Step-by-step explanation:
A basket holds n apples. You pick 2n-3 apples, and your friend picks n + 4 apples. Write an expression that represents the number of applies you and your friend picked. Interpret the expression
Answer:
a
Step-by-step explanation:
hii :)
so we cant add n numbers and not n numbers.
knowing this, we have to somehow put them together.
2n-3+n+4
adding the 2n and n together: 3n-3+4
add -3+4=1
resulting in
3n+1, so the answer is A because n is a full basket and 3 times that is 3 full baskets. (with an extra 1 apple)
i hope this was easy to understand!
Aidan looked at how many people ride the morning
ferryboat. He made a dot plot for the data.
58 59 60 61 62 63 64 65 66 67
Number of people who ride
the morning ferry
According to Aidan's data, what is the typical number of people who ride the
morning ferryboat?
A. 58 people
B. 59 people
C. 64 people
a
D. 61 people
Answer:
Average number of people ride ferry boat = 62 or 63 people
Step-by-step explanation:
Given:
Number of people ride ferry boat
58 59 60 61 62 63 64 65 66 67
Find:
Average number of people ride ferry boat
Computation:
Average mean = Sum of all observation / Number of observation
Average number of people ride ferry boat = [58 + 59 + 60 + 61 + 62 + 63 + 64 + 65 + 66 + 67] / 10
Average number of people ride ferry boat = [625] / 10
Average number of people ride ferry boat = 62.5
Average number of people ride ferry boat = 62 or 63 people
Plz help me well mark brainliest if correct.....???
Answer:
A) Lydia
Step-by-step explanation:
Pls help ill give u brainlest!! 40 points
Hakeem owns seven less than 3/5 the number of DVDs that Manuel owns. Hakeem owns 20 DVDs. How many DVDs does Manuel own? Show your work.
Answer:
Manuel owns 5 DVDS
Step-by-step explanation:
3/5 = 12/20
12 - 7 = 5
you watch seven deadly sins?
The half-life of radon-222 (Rn-222) is 3.823 days.How long would it take for three half-lives?
Answer: [tex]7.949\ \text{days}[/tex]
Step-by-step explanation:
Given
The half-life of a sample is [tex]T_{\frac{1}{2}}=3.823\ \text{days}[/tex]
Decay is given by
[tex]A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}[/tex]
After 3 half-lives, one-eight of the sample is left
Insert the values
[tex]\Rightarrow \dfrac{A_o}{8}=A_oe^{\dfrac{-t}{T_{\frac{1}{2}}}}\\\\\Rightarrow e^{\dfrac{t}{T_{\frac{1}{2}}}}=8\\\\\text{Taking log both sides}\\\Rightarrow \dfrac{t}{T_{\frac{1}{2}}}=\ln 8\\\\\Rightarrow t=3.823\times \ln 8\\\\\Rightarrow t=7.944\ \text{days}[/tex]
Answer:
What is this… mortal kombat
Step-by-step explanation:
3.
Roy jogs at an average speed of 65 meters per minute. If
he targets to cover a distance of 975 meters. How many
minutes does he need to jog?
I need this now!!!
15 minutes
take the answer 975 - 65 every time then you count how much is 65 you get out of 975 then you will get your answer in the answer is 15 minutes
hey:)
it takes 15 minutes
[tex] \frac{1}{65} = \frac{?}{975} \\ 1 \times 975 \div 65 = \\ 975 \div 65 = 15[/tex]
A giant tortoise can travel 0.19 miles in 1 hour. At this rate, how long would it take the tortoise to travel 1 mile?
Answer:
5.26 hours or 315.6 minutes
Step-by-step explanation:
If he travels 0.19 miles in 1 hour
Then 1 mile is traveled (1x1)/0.19
5.26 approx. hours or 5.26 x 60 mins = 315.6.