Answer:
5.7
Step-by-step explanation:
b² = 6² - 2²
b² = 36 - 4
b² = 32
take the square root of both sides
b = √32
b = 5.65685424949238
Rounded
b = 5.7
Please help!!!
Select the correct answer
5(4a+7u)
20a+35u
Are these expressions equivalent? Explain why or why not.
Answer:
[tex]20a + 35u \to 20a + 35u[/tex]
Step-by-step explanation:
Given
[tex]5(4a+7u)[/tex]
[tex]20a+35u[/tex]
Required
Determine if they are equivalent
This implies that:
[tex]5(4a + 7u) \to 20a + 35u[/tex]
Open bracket
[tex]20a + 35u \to 20a + 35u[/tex]
SInce both sides of the equation are happy, then the expression is correct
triangular prism: V = 42 cm3;
base length = 2 cm; base height
=
= 6 cm
h =
Answer:
7 cm
Step-by-step explanation:
base area = (base length x base height)/2 = (2x6)/2 = 6 cm^2
height = V / base area = 42 / 6 = 7 cm
CAN SOMEONE HELP ME!
Answer:
26
Step-by-step explanation:
5 × 4 = 20 (rectangle)
8-5 = 3 (triangle)
3×4÷2 = 6
20+6 = 26
Please someone help me on this :c
Scientific notation questions
Best answer gets Brainliest and 20 points
(All of the questions are on the picture)
Please answer this ASAP
*NO LINKS OR QUESTION REPORTED*
[tex]1. \sf{\ Given : \bigg(\dfrac{10^5}{10^2}\bigg) (10^2)^3}[/tex]
The above expression can be written as :
[tex]\implies \sf{10^{(5-2)}}.10^{(2)(3)}}[/tex]
[tex]\implies \sf{10^{(3)}}.10^{(6)}}[/tex]
As Bases are same, we can add the powers with same base
[tex]\implies \sf{10^{(3 + 6)}}}}[/tex]
[tex]\implies \sf{10^{9}}}}[/tex]
[tex]2. \sf{\ Given : \dfrac{10^5}{10^3.10^8}}[/tex]
The above expression can be written as :
[tex]\implies\sf{\dfrac{10^5}{10^{(3 + 8)}}}[/tex]
[tex]\implies\sf{\dfrac{10^5}{10^{11}}}[/tex]
[tex]\implies\sf{10^{(5 - 11)}}[/tex]
[tex]\implies\sf{10^{-6}}[/tex]
[tex]3. \sf{\ Given : \dfrac{10^{-2}.10^{-3}}{(10^2)^{-5}}}[/tex]
[tex]\implies\sf{\dfrac{10^{(-2 - 3)}}{10^{(2)(-5)}}}[/tex]
[tex]\implies\sf{\dfrac{10^{(-5)}}{10^{(-10)}}}[/tex]
[tex]\implies\sf{10^{(-5 + 10)}}[/tex]
[tex]\implies\sf{10^{5}}[/tex]
[tex]4. \sf{\ Given : (2.5\ x \ 10^8)(8\ x \ 10^3)[/tex]
[tex]\implies \sf{(2.5 \ x \ 8)(10^{(8 + 3)})}[/tex]
[tex]\implies \sf{(20)(10^{11})}[/tex]
[tex]\implies \sf{2 \ x \ 10^{12}}[/tex]
[tex]5. \sf{\ Given : \dfrac{27.8 \ x \ 10^{8}}{25 \ x \ 10^{3}}}[/tex]
[tex]\implies\sf{1.112\ x \ 10^{(8 - 3)}}[/tex]
[tex]\implies\sf{1.112\ x \ 10^{5}}[/tex]
What is 5/2(4x+8) in simplified form?
13/2x+8
10x + 20
13/2x+21/2
10x + 8
got u
Step-by-step explanation:
the answer is 10x+20
Collette wanted to know if there was a difference in favorite food types among students at her large high school. She took a random sample of students from her school and asked them to name their favorite food type. Of those surveyed, 29 preferred American, 16 preferred Chinese, 19 preferred Mexican, and 28 preferred Italian. Which of the following is the chi-square test statistic?
a. (29 - 23)2/23 + (16 - 23)2/23 + (19 - 23)2/23 + (28-23)2/23.
b. (29 - 23)2/23 - (16 - 23)2/23 - (19 - 23)2/23 - (28 - 23)2/23.
c. (29 + 23)2/23 + (16 + 23)2/23 + (19 + 23)2/23 + (28+23)2/23.
d. (29 - 23)2/92 + (16 - 23)2/92 + (19 - 23)2/92 (28-23)2/92.
e. (29 + 23)2/92 + (16 + 23)2/92 + (19 - 23)2/92 + (28-23)2/92.
Answer:
(29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23
Step-by-step explanation:
Given :
n(American) = 29
n(Chinese) = 16
n(Mexican) = 19
n(Italian) = 28
Expected value = (29 + 16 + 19 + 28) / 4
Where, 4 = sample size
Expected value, E = 23
χ² = (Observed value - Expected value)² / expected value
χ² = (29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23
Answer:
(29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23
Step-by-step explanation:
I would but you probobly want just the answer :/
Find BD if AC = 47 yards
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Answer:
21 yards
Step-by-step explanation:
The area of a quadrilateral with diagonals that are right angles to each other is given by ...
A = (d1)(d2)/2 . . . . where d1 and d2 are the lengths of the diagonals
493.5 yd² = (47 yd)(BD)/2 . . . . . . . . . . fill in the given information
Dividing by the coefficient of BD, we have ...
(2)(493.5 yd²)/(47 yd) = BD = 21 yd
The mayor of a large city will run for governor if he believes that more than 30 percent of the voters in the state already support him. He will have a survey firm ask a random sample of n voters whether or not they support him. He will use a large sample test for proportions to test the null hypothesis that the proportion of all voters who support him is 30 percent or less against the alternative that the percentage is higher than 30 percent. Suppose that 35 percent of all voters in the state actually support him. In which of the following situations would the power for this test be highest?
a. The mayor uses a significance level of 0.01 and n = 250 voters.
b. The mayor uses a significance level of 0.01 and n = 500 voters.
c. The mayor uses a significance level of 0.01 and n = 1,000 voters.
d. The mayor uses a significance level of 0.05 and n = 500 voters.
e. The mayor uses a significance level of 0.05 and n = 1,000 voters.
Answer:
e. The mayor uses a significance level of 0.05 and n = 1,000 voters.
Step-by-step explanation:
Power of a test:
For a high power of a test, two conditions are needed:
Large significance level.
Large sample.
In this question:
A significance level of 0.05 will lead to a higher power than a significance level of 0.01, which means that the answer is between options d and e.
A test with a sample of 1000 has a higher power than a test with a sample of 500, and thus, the answer is given by option e.
.The temperature recorded in Srinagar on a particular day is -53°C.It decreased by 7°C the
next day. What is the temperature recorded?
Avery spent 170 minutes outside. If
she spent 64 minutes riding her bike,
48 minutes on the trampoline, and the
rest of the time swimming, how many
minutes did Avery spend swimming?
Answer:
58 minutes
Step-by-step explanation:
s = 170 - 64 - 48
s = 58
Answer:
Avery spent 58 minutes swimming
Step-by-step explanation:
This is not a question but an answer for those out there who need it. I know I really needed this, so I hope you will find it helpful too.
) He fills the pencil holder with sand before he wraps it to make it feel like a heavy, expensive gift. How much sand will he need to "borrow" from his sister's sandbox to fill the pencil holder? *
ANSWER:
1/2 * 3 = 1.5
1.5*2=3
3*3.5=10.5
ANSWER = 10.5
Answer:
im confused q or a??
Step-by-step explanation:
help please and thank you!
Answer:
x = 29°
Step-by-step explanation:
plz i beg wont thy help me with three questions T^T
k12 7th math
plz answer them all i really need it cause i cant figure it out T^T
Answer:
For each table plug x in one at a time into the equation
If the outcome (y) is the same in the table that will be the correct answers
Step-by-step explanation:
For example -2 will be plugged in so y=5/4(-2)-3 which simplifies down to -0.5 looking back at the table we see the y value is 0.5 instead of -0.5 thus allowing us to eliminate that answer choice and repeat the process in the next table. Whichever one holds true and have the correct outcome will be the correct answer
Hope this helps
The hungry caterpillar was 5.4 feet away from his favorite leafy bush. He crawled 1.2 feet every hour to reach the leaves. How many hours did it take him to reach the bush?
Answer:
About 4.5 hours
Step-by-step explanation:
Plz help me well mark brainliest!!
Answer:
It's B
Step-by-step explanation:
Select the correct answer. What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)? A. y = 3x + 4 B. y = 3x − 14 C. y = 3x − 4 D. y = 3x + 12
The sequence of the differences, 2, 4, 8, 16, 32, … is a geometric sequence with:
a1 =
and r1 =
*Please Help**
Answer:
r1 is given by the formula an=a1r.n-1
Step-by-step explanation:
Answer:
a1 = 2
r1 = 2
yayyyyyyyyyyyyyyyyyyyyyyyyy
Lines AB and CD are perpendicular to each other. If 3 measures (4x + 4)°, and 4 measures 26°, what is the value of x?
Please justify your answer, I really don't understand it.
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Answer:
A x = 15
Step-by-step explanation:
Lines AB and CD being perpendicular means the angles where they meet are all 90°. The diagonal line divides two of those 90° angles into two parts (each). The whole (90°) is the sum of the parts into which the angle has been divided.
The sum of angles 3 and 4 is 90°. Once you understand this relationship, you can write an equation based on the relationship. The equation can be solved in the usual way.
(4x +4)° +26° = 90°
4x = 60 . . . . . . . . . . . . divide by °, subtract 30
x = 15 . . . . . . . . . . divide by 4
What is 1.05 x 10^8 written in standard notation?
Answer:
105000000
Step-by-step explanation:
Since the exponent of the scientific notation is positive, move the decimal point 8 places to the right.
After writing the expression in standard form we get 105000000
What are exponents ?
An exponent is a number or letter written above and to the right of a mathematical expression called the base. It indicates that the base is to be raised to a certain power.
The given question is 1.05 * 10⁸
It has to be written in the standard format
The exponent 8 on 10 means base 10 is multiplied 8 times.
therefore
1.05 * 10*10*10*10*10*10*10*10
On solving this we get
105000000 is what we get after writing the expression in standard form.
To know more about Exponent
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What is the area of the parallelogram?
20 cm 2
40 cm 2
20 cm 2
40 cm 2
in the number 78.9 what digit is in the tenths places
Answer:
9
Step-by-step explanation:
A recipe book has 24 appetizer recipes
and 37 dessert recipes. There are 10
more dinner recipes as appetizer and
dessert recipes combined. How many
recipes are in the book in all?
Find the measure of angle x.
Y у
95 degrees
60 degrees
Х
x
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Answer:
x = 85°
Step-by-step explanation:
Consecutive interior angles where a transversal crosses parallel lines are supplementary.
x = 180° -95° = 85°
y = 180° -60° = 120°
The Consumer Reports National Research Center conducted a telephone survey of 2,000 adults to learn about the major economic concerns for the future. The survey results showed that 1,740 of the respondents think the future health of Social Security is a major economic concern.
Required:
a. What is the point estimate of the population proportion of adults who think the future health of Social Security is a major economic concern.
b. At 90% confidence, what is the margin of error?
c. Develop a 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern.
d. Develop a 95% confidence interval for this population proportion.
Answer:
a. 0.87
b. The margin of error is of 0.0124.
c. The 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern is (0.8576, 0.8824).
d. The 95% confidence interval for this population proportion is (0.8553, 0.8847).
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 is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The confidence interval is:
[tex]\pi \pm M[/tex]
a. What is the point estimate of the population proportion of adults who think the future health of Social Security is a major economic concern.
The sample proportion, that is, 1740 out of n = 2000. So
[tex]\pi = \frac{1740}{2000} = 0.87[/tex]
0.87 is the point estimate.
b. At 90% confidence, what is the margin of error?
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Then the margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.645\sqrt{\frac{0.87*0.13}{2000}}[/tex]
[tex]M = 0.0124[/tex]
The margin of error is of 0.0124.
c. Develop a 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern
[tex]\pi - M = 0.87 - 0.0124 = 0.8576[/tex]
[tex]\pi + M = 0.87 + 0.0124 = 0.8824[/tex]
The 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern is (0.8576, 0.8824).
d.
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].
Then the margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.87*0.13}{2000}}[/tex]
[tex]M = 0.0147[/tex]
The confidence interval will be of:
[tex]\pi - M = 0.87 - 0.0147 = 0.8553[/tex]
[tex]\pi + M = 0.87 + 0.0147 = 0.8847[/tex]
The 95% confidence interval for this population proportion is (0.8553, 0.8847).
Which point is graphed on the coordinate plane? у 10 5 4 3 2 ہے X 0 1 2 3 4 5 6 7 8 9 10 (3,8) (8,8) (3,3) (8,3)
Answer: (3, 8)
Hope it helps :)
The point graphed on the coordinate plane is either (3,8) or (8,8), depending on whether the horizontal axis is labeled from left to right or right to left.
What is graph?A graph is a visual representation of data or a mathematical equation. It is used to show the relationship between two or more variables, usually depicted on the horizontal and vertical axes of the graph.
The given points are of the form (x,y), where x is the horizontal axis coordinate (also known as the x-axis) and y is the vertical axis coordinate (also called the y-axis).
Each point in the given options is represented by its (x,y) coordinates. Based on the options provided, we must determine which point is graphed on the coordinate plane.
So, to accomplish this, we simply compare the (x,y) coordinates of each option to the coordinates on the graph and select the option that matches.
Thus, (3,8) or (8,8) can be the coordinate plane.
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STREAM ANCIENT DREAMS IN A MODERN LAND FOR BRAINLIEST
Does anyone know how to do probability good?
Answer:
Yes, I can help you for free if you help me on some of my questions
Step-by-step explanation:
how did u arrive at the answer?
Find the slope of the line that passes through these points.
(7,3), (-5,3)
Answer:
0
Step-by-step explanation:
=> m = 3 -3/7+5
=> m = 0/12
=> m = 0