Help please will mark brainliest!!!
Answer:
945
Step-by-step explanation:
Complete the expressions that would make them a perfect square trinomial.
a.
x² – 8x+
b. x2 + 20x +
C.
x² – 16x +
d. x2 + 9x +
Answer:
a) 16
b) 100
c) 64
d) [tex]\frac{81}{4}[/tex][/tex]
Step-by-step explanation:
Perfect square trinomial:
A perfect square trinomial has the following format:
[tex](x \pm a)^2 = x^2 \pm 2ax + a^2[/tex]
a.
x² – 8x
[tex]x^2 - 8x = x^2 - 2ax[/tex]
So 2a = 8, a = 4. Then
[tex]a^2 = 4^2 = 16[/tex]
The perfect square trinomial is [tex]x^2 - 8x + 16[/tex]
b. x2 + 20x +
2a = 20, so a = 10
[tex]a^2 = 10^2 = 100[/tex]
The perfect square trinomial is [tex]x^2 + 20x + 100[/tex]
C.
x² – 16x +
2a = -16, so a = -8.
[tex]a^2 = (-8)^2 = 64[/tex]
The perfect square trinomial is [tex]x^2 - 16x + 64[/tex]
d. x2 + 9x +
[tex]2a = 9[/tex], so [tex]a = \frac{9}{2}[/tex]
[tex]a^2 = (\frac{9}{2})^2 = \frac{81}{4}[/tex]
The perfect square trinomial is [tex]x^2 + 9x + \frac{81}{4}[/tex][/tex]
helppppppp will give BRAINLIEST!!!
Answer:
c
Step-by-step explanation:
range is the largest -the smallest
median is the line between 9 and 10
first quartile is on 6
I’m working on these as well! Hope this helps! Happy Friday! <3
Answer:
Should be the 3rd quartile.
Step-by-step
Because the first quartile ends at 10.5, because of the line, I believe, and 18 is past 11. So, it should be the 3rd quartile.
Is 53 or 63.38 correct pls help me
Answer:
Okay so A will equal 45 degrees
Step-by-step explanation:
When you have a right triangle the other angle measures will be 45 degrees. The interior sum of all the angles will always be 180 degrees. The other angle will be 45 degrees as well
A certain high school reported that only 74% of its students enroll in a math class during senior year. If
there are 407 seniors enrolled in math at this school, how many seniors are in the school?
Answer:
550 students are in the school.
Step-by-step explanation:
The way I found my answer was by first turning 74% into a decimal, which is 0.74. Then I divided 407 by 0.74 and I got 550. Therefore, 550 is our answer.
You pick a card at random.
2 3 4 5
6 7 8 9
What is P(5)
Write your answer as a percentage.
Step-by-step explanation:
There are a total of 8 cards, you are picking only one card,
therefore P(5) =
[tex] \frac{1}{8} \times 100 \\ = \frac{100}{8} \\ = 12.5percent[/tex]
what is 10 / 2 + (2x4) -3 ?
Answer:
10
Step-by-step explanation:
10 / 2 = 5
(2x4) = 8
(5 + 8) - 3
13 - 3
10
Answer:
10
Step-by-step explanation:
5+8-3=10
5. If the tree's circumference is 141.3ft, what is its diameter?
Answer:
d ≈ 45 ft
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Circumference of a Circle Formula: C = πdStep-by-step explanation:
Step 1: Define
Circumference C = 141.3 ft
Step 2: Solve for d
Substitute in C [Circumference Formula]: 141.3 ft = πdSubstitute in π (approximation): 141.3 ft ≈ 3.14d[Division Property of Equality] Divide both sides by 3.14: 45 ft ≈ dRewrite: d ≈ 45 ftAdd 7 by g then divide 10 by the result write an expression
Answer:
7 = 1 = 21
Step-by-step explanation:
Answer:
10 / (7 + g)
Step-by-step explanation:
Evaluate the expression: –5 + 280 + 62.
Answer:
the answer is 337
Step-by-step explanation:
-5 + 280 + 62
= 337
Answer:
337
Step-by-step explanation:
-5 plus 280 is 275
275 + 62 is...
337
\sqrt{-x+26}=x-6 −x+26=x−6
Answer:
x = 1 and 10
Step-by-step explanation:
Given the equation \sqrt{-x+26}=x-6, we are to find the value of x
Take the square of both sides
(\sqrt{-x+26})²= (x-6)²
-x+26 = (x-6)²
Expand the parenthesis
-x+26 = x²-12x+36
x²-12x+36+x-26 = 0
x²-11x+10 = 0
x²-10x-x +10 = 0
x(x-10) -1()-10) = 0
(x-1)(x-10) = 0
x - 1 =0 and x - 10 = 0
x = 1 and 10
Hence the value of x is 1 and 10
NEED HELP I WILL MARK BRAINLIEST PLZ HELP
HELP FAST ILL GIVE WHATVERR YOU WANT
: Selina weighs a metal sample in science class as being 20.8 grams. The actual weight of the sample is 20 grams. What is her percent relative error? Show your work.
Answer is 4%
If you keep subtracting 20.8 with any percent at all you would find your answer
If you need more work shown i will give you more by saying it in comments. ^^
Which box plot correctly displays the data set with a maximum of 48, a minimum of 27, a median of 36, an upper quartile of 45, and a lower quartile of 32?
(please refer to the answer like this: Image [number])
Answer:
Image 1
Step-by-step explanation:
To answer this question, we need to know how to use a box plot.
I've attached an image that demonstrates this well and can teach you what each part of the box plot means.
Specifically, the 2 farthest dots at the end are the minimum and maximum. The two sides where the box starts are the lower and upper quartiles. Finally, the line in the middle of the box is the median.
With this, we can analyze each box plot and determine which one is correct.
Box Plot 1: Everything is plotted correctly- Maximum and minimum plotted correctly, median plotted correctly, upper and lower quartile plotted correctly.
Box Plot 2: Everything plotted correctly EXCEPT maximum of 48 is represented at 46.
Box Plot 3: Everything plotted correctly EXCEPT the upper quartile of 45 is at 39.
Box Plot 4: Upper quartile represented at 39 and maximum represented at 46 are both incorrect.
Do mice show a preference for using one paw over the other? Attempting to answer this question, a researcher tested a random sample of 48 mice and observed which forepaw (right or left) the mice used to retrieve food from a narrow tube. Eighteen of the mice used their right paw, while the rest used their left paw.
Does this data suggest that mice show a preference towards one paw over the other? Carry out the appropriate test and include all steps for full credit.
During the course of the experiment, the researcher noticed that individual mice sometimes switched which forepaw they used to retrieve the food. So she repeated this study on the same 48 mice, but measured each one 10 times and she recorded which forepaw was used each time. With her new dataset of 480 observations, would you be able to run the same analysis as in part (a)? If so, carry out the analysis and compare the results. If not, why not?
Answer:
It all depends on the food they are going for, just like humans, mice have instincts. For example, if you were falling forward, which foot would you put out? Most likely the opposite one. I hope this helps you!
Step-by-step explanation:
Using hypotheses testing,
In both cases, we fail to reject the null hypothesis, indicating that there is not enough evidence to suggest that mice show a preference towards one paw over the other.
We have,
(a)
To test whether the data suggest that mice show a preference towards one paw over the other, we can use a one-sample proportion test.
The null hypothesis (H0) is that the proportion of mice that use their right paw is 0.5 (indicating no preference towards one paw over the other).
The alternative hypothesis (Ha) is that the proportion of mice that use their right paw is different from 0.5 (indicating a preference towards one paw over the other).
We can use a significance level (alpha) of 0.05.
To conduct the test, we can calculate the test statistic using the formula:
z = (p - 0.5) / √(0.5 x 0.5 / n)
where p is the proportion of mice that use their right paw, and n is the sample size.
Using the given data, we have:
p = 18/48 = 0.375
n = 48
Plugging in the values, we get:
z = (0.375 - 0.5) / √(0.5 x 0.5 / 48) = -1.714
Using a standard normal distribution table or calculator,
We can find the p-value associated with this test statistic.
The p-value is the probability of observing a test statistic as extreme as -1.714 or more extreme, assuming the null hypothesis is true.
The p-value for this test is 0.0869.
Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis.
This means that we do not have sufficient evidence to conclude that mice show a preference towards one paw over the other, based on the given sample.
(b)
With the new dataset of 480 observations, we can still conduct a similar analysis using a one-sample proportion test.
However, since each mouse was measured 10 times, the observations are no longer independent.
Therefore, we need to use a different test that accounts for the dependency between observations, such as McNemar's test.
McNemar's test is a test of the marginal homogeneity of a two-way table, where the same subjects are measured twice on a binary outcome.
In this case, we can create a 2x2 contingency table of the number of times each mouse used their right or left paw, and conduct a McNemar's test on this table.
The null hypothesis for McNemar's test is that there is no difference in the proportions of mice that use their right or left paws.
The alternative hypothesis is that there is a difference.
To conduct the test, we can calculate the test statistic using the formula:
chi-squared = (|b-c|-1)² / (b+c)
where b is the number of mice that used their right paw more often, and c is the number of mice that used their left paw more often.
Using the given data, we have:
b = 214
c = 244
Plugging in the values, we get:
chi-squared = (|214-244|-1)² / (214 + 244) = 2.417
Using a chi-squared distribution table or calculator with 1 degree of freedom (since we have a 2x2 table), we can find the p-value associated with this test statistic.
The p-value is the probability of observing a test statistic as extreme as 2.417 or more extreme, assuming the null hypothesis is true.
The p-value for this test is 0.119.
Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis.
This means that we do not have sufficient evidence to conclude that there is a difference in the proportions of mice that use their right or left paws, based on the new dataset.
Thus,
In both cases, we fail to reject the null hypothesis, indicating that there is not enough evidence to suggest that mice show a preference towards one paw over the other.
Learn more about the hypotheses test here:
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1. What number will make this expression a perfect square trinomial? Show your work. x2 - 6x +
Answer:
.......
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Take half of b (6/2=3)
Square it (3^2=9)
HELP ME OUT PLEASE URGENT
what’s 1 + 1 + 1 + 1 x 0 x 1 x 1 x 1 + 1 + z + 33 + π + 8 + π?
will give ALL my points
What is the volume of the following figure? (Round your answer to the
nearest tenth and leave it in terms of pi.)
Width= 18 m length=10 m
A 180mm
B. 3240mm
C. 810 m
D. 8171 m
Sam made a model of the Liberty Bell with a
base circumference of 8 inches. If the base
crcumference of the actual Liberty Bell is 12
feet, what scale did he use?
Answer:
1 : 18
Step-by-step explanation:
When finding scale factor, both measurements should in same unit
Circumference of the model bell = 8 inches
1 feet = 12 inches
12 feet = 12 * 12 = 144 inches
Circumference of the actual bell = 12feet = 144 inches
Model : Actual = 8 : 144
= 8÷8 : 144÷8
= 1 : 18
8a+11-2b for
a =4.b=2
Answer:
39
Step-by-step explanation:
8(4) + 11 -2(2)
32 + 11 - 4
43 - 4
39
asap
Five students, Jeremiah, Claire, Alyssa, Brody, and Hudson, line up one behind the
other. How many different ways can they stand in line?
Answer:
25 dfferent ways
Step-by-step explanation:
The answer is 25 different ways because since there are students and thy line up behind each other you would do 5 times 5 which equals to 25.
5. A bag contains 21 red marbles and 29 blue marbles. A marble is picked at
random from the bag. What is the probability of picking a red marble?
Answer:
i dont know
Step-by-step explanation:
uhhh
Answer:
42% chance
Step-by-step explanation:
Since there are 21 red marbles and 29 blues ones, the total amount of marbles is 50. There are only 21 red marbles out of 50 marbles so there is a 21/50 chance that you will pick a red marble.
Question 2 of 3 Which expressions can be added to find the volume of the solid figure? Select all that apply. A solid shape is made up of 2 attached rectangular prisms. First rectangular prism has a length of 3 m, height of 1 m, and width of 4 m. Second rectangular has a length of 3 m, height of 7 m, and width of 4 m. The total length of the shape is 6 meters. A. 4 × 3 × 7 and 1 × 3 × 4 B. 4 × 6 × 7 and 1 × 3 × 3 C. 1 × 4 × 7 and 4 × 3 × 6 D. 4 × 6 × 1 and 6 × 4 × 3 E. 4 × 6 × 3 and 7 × 3 × 3
Answer:
a and d
Step-by-step explanation:
i had this same question and a and d were the correct answers
2. Name the numerator and the denominator in each fraction.
a.
11/12
b. 7512
C.
12/0
d. 978
Answer:
a. N=11
D=12
b. N=1
D=7512
c. N=12
D=0
d. N= 1
D=978
Please help meeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
h = 4.2 in
Volume = 3.6 cubic inches
[tex]\frac{1}{3}\pi r^{2}h = 3.6\\\\\frac{1}{3}*3.14*r^{2}*4.2 = 3.6\\\\r^{2}= \frac{3.6*3}{3.14*4.2}\\\\ = 0.81\\r=\sqrt{0.81}\\\\[/tex]
r = 0.9 in
Answer:
.... ..................
The domain of y = f(x) = _ is
(a) R - {0}
(b) R
(c) (-2,1)
(d) (-1.1)
Answer:
The domain of a function is the set of all possible x values that satisfy the equation. We cannot answer this question without first knowing what the equation for f(x) is.
Step-by-step explanation:
Take for example the function y = f(x) = [tex]x^{2} +3[/tex]. Here, you can plug in literally any value for x and still get our a real number. Thus, the domain of f(x) is (-∞, ∞).
However, if your function is y = f(x) = [tex]\frac{2}{\sqrt{x+3} }[/tex] , not every x value is acceptable. First, we cannot have the denominator (bottom part) of the fraction be zero, because division by zero is undefined. Thus, x = -3 is not an acceptable value for x.
We also cannot take the square root of a negative number. Thus, we have the rule that x + 3 must be greater than or equal to zero.
[tex]x+3 > 0\\\\x > -3\\[/tex]
Normally we would use greater than or equal to zero, but because this is in the denominator, we don't want it to equal zero (and thus x = -3 is not acceptable).
So, the domain of x is (-3, ∞). The parenthesis tell us we do not include the negative three and we do not include infinity. In other words, the domain of x is all numbers greater than -3 but less than infinity.
So, first look at your equation for f(x), then see which values of x don't break the rules of math like division by zero or square roots of negative numbers. Good luck!
There are 20 pieces of fruit in a bowl and 5 of them are apples. What percent of the fruit are apples?
Answer: 25%
Step-by-step explanation:
Total pieces=20
apple pieces=5
=apple pieces/total pieces
= 5/20
for %age multipilying with 100
= 0.25×100
=25 percent
PLEASE HELP!! NO SCAM LINKS
9514 1404 393
Answer:
(d) new line is less steep
Step-by-step explanation:
Changing the slope from 3 to 1/3 makes the line less steep.
__
In the attachment, the blue line is the new line.
In the diagram below, AB is parallel to CD. What is the value of y?
A. 45
B. 55
C. 135
D. 65
Answer:
A. 45
- as AB and CD are parallel to each other, the value of y will be equal to 45° in CD
The value of y in the given diagram is 45.
Option A is the correct answer.
What are corresponding angles?The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.
Corresponding angles are always equal.
We can also have alternate angles which are always equal.
We can also have alternate interior and exterior angles which are equal.
The angles on the same side make upto 180 degrees
We have,
Let the corresponding angle with y is m.
Now,
y = m
Now,
45 and m are opposite angles.
So,
m = 45
Now,
The corresponding angle with y is m.
This means,
y = m
y = 45
Thus,
The value of y is 45.
Learn more about corresponding angles here:
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