The dimensions of the picture size to fit in the frame are 14 inches by 11 inches.
How tall can the picture be?It is known the frame is 17 inches tall but this includes 1.5 inches of the wooden frame. This means that 3 inches of the frame (1.5 inches x 2) do not count for the size of the picture.
17 inches - 3 inches = 14 inches tall.How long can the picture be?We already know the picture can be 14 inches tall and the total area is 238 square inches including the 1.5 wooden frame.
Area = s x sS = Area / sS = 238 / 17 (height including frame)S= 14 inches (length including frame)14 inches - 3 inches = 11 inches.Learn more about inches in: https://brainly.com/question/17533009
20 people reported enjoying dancing and 11 of them were under 40. What percentage of people who enjoy dancing are under 40 years old?
Step-by-step explanation:
11 ÷ 20 = 0.55
0.55 × 100 = 55
so 55%
The numbers in the triangles below go together following the
4
9
8
7
3
2
6
Find the missing number.
A 1
B 3
Answer:
1
by looking only 1 is missing
3.Give some examples of commutative property of multiplication and some non examples
Answer:
a+b = b+a
Step-by-step explanation:
1. Find the area of the parallelogram.
Answer:
Step-by-step explanation:
Formula
Area = B * h
Givens
Base = 2.5
height = 5.25
Solution
You choose the value for the base and height from the fact that the height touches the base (which has been extended) at right angles.
Area = 2.5 * 5.25
Area = 13.125
Answer: Area = 13.125 or 13 1/8
find cube root of 45324
the answer is
35.6540944227
NEED HELP ASAP!!!! GIVING BRAINLIEST+ 30 POINTS TO WHOEVER CAN ANSWER THESE TWO QUESTIONS THE BEST!!!
Please help! I will mark brainliest
Answer: C
Step-by-step explanation:
Statement C is true
The interquartile range of the distances for the bus drivers is 5 miles less than the interquartile range of the distances for the teachers.
Interquartile range = [tex]\underline{Q_{3} - Q_{1}}[/tex]
For bus drivers = 30 - 5 = 25 miles
For teachers = 25 - 5 = 30 miles
Distance of bus drivers = distance of teachers - 5 miles
Name the type of logical fallacy being used.
29. if you don’t want to drive from boston to new york, then you will have to take the train.
The type of logical fallacy being used in the sentence "If you don’t want to drive from boston to New york, then you will have to take the train" is false dilemma.
What is fallacy?It should be noted that a fallacy simply means a deceptive argument where the conclusion isn't supported by the premises.
In this case, false dilemma is when a limited number of options are incorrectly presented as being mutually exclusive.
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10y 5 +30y 3 −15y
Factor out the gcf then simplify the polynomial
10y⁵ + 30y³ - 15y =
5y * 2y⁴ + 5y * 6y² + 5y * (-3) =
5y (2y⁴ + 6y² - 3)
PLEASE HELP!
Solve for q.
8/10 = 10/q
q =
q = 12.5
hope it helps..!!!
Answer:
12.5
Step-by-step explanation:
u dont need it lol
Find the AREA of the figure. (Sides meet at right angles.)
Answer:
47
Step-by-step explanation:
3 x 4 = 12
7 x 5 = 35
35 + 12 = 47
Find the distance between (1, 1) and (3, 4).
Answer:
√13
Step-by-step explanation:
Let,
( x1, y1 ) = ( 1, 1 )
Here,
x1 = y1 = 1
( x2, y2 ) = ( 3, 4 )
Here,
x2 = 3
y2 = 4
Formula : -
( Distance )² = ( x2 - x1 )² + ( y2 - y1 )²
( Distance )² = ( 3 - 1 )² + ( 4 - 1 )²
= 2² + 3²
= 4 + 9
( Distance )² = 13
Distance = √13
Answer:
3.61
Step-by-step explanation:
length=[tex]\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^{2} )}[/tex]
=[tex]\sqrt{(3_{}-1_{} )^{2}+(4_{}-1_{} )^{2} )}[/tex]
= 3.61
-9 more than a number results in -20
Answer:
-9+x=-20
Step-by-step explanation:
I am not so positive on this one, but if you are not doing inequalities, then this should be correct.
"More than" would insinuate that you are adding. In this class, you would have a number to replace that x, but since no number was given, you place the x in its place. x=-11, because when you "add" -9 with something to get -20, it would have to be -11. Negative numbers can be confusing because when you subtract a negative number by another negative, you end up with a negative. Like in this case. Normally, you would just put -11, so it would look like -9 - 11 = -20. But since this says "more than", unless you are doing inequalities, you add.
If you are doing inequalities, then your answer should be this:
-9 > x = -20
I hope this helps!
-No one
Please help I will give brainliest.
Answer:
ITs a plus b then c ding
Step-by-step explanation:
what is the value of x that makes the given equation true 9+8x-4-5x=-19
Answer:
x = -8
Step-by-step explanation:
9+8x-4-5x=-19
5+8x-5x=-19
5+3x=-19
-5 =-19
3x = -24
3/3 = -24/3
x= -8
Find the value of x. X=?
Volume = 1500
Answer:
[tex]x=20[/tex]
Step-by-step explanation:
Solve the following equation for x:
[tex]1500=1/3(15)^{2} x[/tex]
A large company produces an equal number of brand-mame lightbulbs and generic lightbulbs. The director of quality control sets guidelines that lightbulbs that are defect lightbulbs that are defective is not equal to the director wants to estimate the average of the two proportions. Production will be stopped if there is evidence that the proportion of all ve is greater than 0. 10. The director also believes that the proportion of brand-name proportion of generic lightbulbs that are defective. Therefore, the o estmate the proportion of brand-name lightbulbs that are defective, a simple random sample of 400 brand-name lightbulbs brand-name lightbulbs that are defective in a sample of 400, and let px represent the proportion of all brand-name lightbulbs that are defective. It is reasonable to assume that X is a binomial random variable.
(a) One condition for obtaining an interval estimate for px is that the distribution of px is approximately number of is taken and 44 are found to be defective. Let X represent the normal Is it reasonable to assume that the condition is met? Justify your answer.
(b) The suandard error of hr is approumately O 0156 Show how the value of the standard error is calculated
Using the Central Limit Theorem, we have that:
a) Since there are at least 10 successes and 10 failures, the condition is met.
b) Using the formula [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], with n = 400 and p = 0.11, the standard error is of 0.0156.
What does the Central Limit Theorem state?
It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
Item a:
44 are found to be defective, hence:
np = 44.n(1 - p) = 356.Which means that the conditions are met.
Item b:
We have that the parameters are:
[tex]n = 400, p = \frac{44}{400} = 0.11[/tex]
Hence, the standard error is given by:
[tex]s = \sqrt{\frac{0.11(0.89)}{400}} = 0.0156[/tex]
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
What are the solution(s) for the following quadratic equation?
f(x)=5x^2+2x-7
Please show work!
[tex]\\ \rm\rightarrowtail 5x^2-2x-7=0[/tex]
[tex]\\ \rm\rightarrowtail 5x^2-7x+5x-7=0[/tex]
[tex]\\ \rm\rightarrowtail x(5x-7)+1(5x-7)=0[/tex]
[tex]\\ \rm\rightarrowtail (x-1)(5x-7)=0[/tex]
[tex]\\ \rm\rightarrowtail x=1,7/5[/tex]
evaluate 8-m/n+ p2 when m=8 n=2 p=7
====================================================
let's evaluate this expression
[tex]\pmb{\displaystyle\frac{8-m}{n+p^2} }[/tex]
[tex]\pmb{\displaystyle\frac{8-8}{2+7^2}}[/tex] (step 1)
[tex]\pmb{\displaystyle\frac{0}{2+49}}[/tex] (step 2)
simplify:
[tex]\pmb{\displaystyle\frac{0}{51}}[/tex] (step 3)
[tex]\pmb{0}[/tex] (step 4)
=======================================
note:-Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
what is the factored form of the equation f(x)=4x^2-4x-8
Answer:
4(x² - x - 2)
Step-by-step explanation:
The highest common factor is 4 so factor it out.
Answer:
Step-by-step explanation:4x2−4x−84x2-4x-8Factor 44 out of 4x2−4x−84x2-4x-8.
Factor 44 out of 4x24x2.4(x2)−4x−84(x2)-4x-8Factor 44 out of −4x-4x.4(x2)+4(−x)−84(x2)+4(-x)-8Factor 44 out of −8-8.4(x2)+4(−x)+4(−2)4(x2)+4(-x)+4(-2)Factor 44 out of 4(x2)+4(−x)4(x2)+4(-x).4(x2−x)+4(−2)4(x2-x)+4(-2)Factor 44 out of 4(x2−x)+4(−2)4(x2-x)+4(-2).4(x2−x−2)
Factor x2−x−2x2-x-2 using the AC method
Consider the form x2+bx+cx2+bx+c. Find a pair of integers whose product is cc and whose sum is bb. In this case, whose product is −2-2and whose sum is −1-1.−2,1
Write the factored form using these integers.4((x−2)(x+1))4((x-2)(x+1))Remove unnecessary parentheses.4(x−2)(x+1)
can u please help me? im super confused
Answer:
25
Step-by-step explanation:
what is 35 divided by 1.4?
25.
25 x 1.4 (140%) = 35
you are looking for more than 100% of an unknown number so you can use this method to find the answer
hope that helped :)
The concession stand has 18 gallons of punch. If there are a total of 240 students who want to purchase 1 cup of punch each, will there be enough punch for everyone?
Answer:
Yes.
Step-by-step explanation:
18 gal = 288 cups.
(1 gal = 16 cups)
If 240 students purchase 1 cup each, there will be 48 cups left over.
So,yes, there will be enough punch for everyone.
Please mark as brainliest!
Thanks!
A rectangular prism has a total surface area of $56. $ Also, the sum of all the edges of the prism is $60. $ Find the length of the diagonal joining one corner of the prism to the opposite corner
Length of the diagonal of rectangular prism is equals to 13units.
What is rectangular prism?
" Rectangular prism is a three dimensional figure which has six faces in rectangular shape."
Formula used
Total surface area of the rectangular prism = 2(l b + b h +l h)
Sum of all the edges of the prism = 4 (l +b + h)
length of the diagonal of the prism = √l² + b² + h²
l = length of the prism
b = width of the prism
h = height of the prism
According to the question,
Given,
Total surface area of the rectangular prism = 56 units
⇒2(l b + b h +l h) = 56
Sum of all the edges of the prism = 60 units
⇒4(l + b + h) = 60
Divide both the side by 4 we get,
(l + b + h) = 60 / 4
⇒(l + b + h) = 15 ____(1)
Squaring both the side of (1) we get,
(l + b + h)² = (15)²
⇒l² + b² + h² + 2 (l b + b h +l h) = 225
Substitute the value of total surface area to get length of the diagonal,
l² + b² + h² + 56 = 225
⇒l² + b² + h² = 225 - 56
⇒l² + b² + h² = 169
⇒√l² + b² + h² = √169
⇒√l² + b² + h² = 13
Hence, length of the diagonal of rectangular prism is equals to 13units.
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Marcy charges $3 to walk a small dog and $5 to walk a big dog. If Marcy walks 15 small dogs and 6 big dogs, how much money will she make?
Answer:
hee-hee!
Step-by-step explanation:
Marcy charges $3 to walk a small dog and $5 for a big dog.
She walks 15 small dogs and 6 big dogs.
We can use an expression that would show the problem:
3s + 5b
(s = small dogs & b = big dogs)
s = 15 | b = 6
3(15) + 5(6)
45 + 30 = 75
Marcy earns $75 of profit.
The regular admission price to an amusement park is $28. You have a
coupon for 25% off the regular admission. Find the total cost of admission
to the park when the sales tax is 6% of the reduced price.
Answer:
$22.26
Step-by-step explanation:
To solve, all we need to do is 28(1-.25) to get 21, then we set up the equation 21(1+.03) and we get our total for the price.
we subtract in the first place, because it is a discount, and we add in the second one because it is a sales tax.
please rate and mark as brainlest.
I need help guys tomorrow is deadline:(
Answer:
1) [tex]\sqrt{2}[/tex]
2) 11
3) 5
4) 8
5) I feel like there is something wrong with this question
6) [tex]\sqrt{3}[/tex]
7) 10
8) 4
9) 18
10) 8[tex]\sqrt{3}[/tex]
Step-by-step explanation:
#1
In this rule, it is saying that is two of the sides are the same and two of the angles are 45 degrees, then you can find the measurement of the hypotenuse or one of the legs of the triangle
Here, the hypotenuse is equal to what the length of one of the legs are and multiplied by [tex]\sqrt{2}[/tex]
Since the length of one of the legs are 4, multiply that by [tex]\sqrt{2}[/tex] and you will get:
4[tex]\sqrt{2}[/tex]
#2
Same concept, but reverse
The hypotenuse is 11[tex]\sqrt{2}[/tex] and to go back to one of the leg lengths, instead of multiplying, you want to divide.
So:
[tex]\frac{11\sqrt{2} }{\sqrt{2} }[/tex]
Which is equal to:
11
You can also do this by knowing that the legs are the same length and knowing that b=11, and a=b, a is also equal to 11
#3
Same as the previous question
[tex]\frac{5\sqrt{2} }{\sqrt{2} }[/tex]
b = 5
#4
a and b are equal to x, and in this case, x is 8.
So going back to the picture, you can see that you need to multiply this x by [tex]\sqrt{2}[/tex] to get 8[tex]\sqrt{2}[/tex]
#5
You'd have to ask your teacher for this one because it is impossible to have a leg that is longer than the hypotenuse
#6-10
Apply the same rules for these set of questions:
Notice that there is a different system for these though, I will let you figure them out.
Identify the three similar triangles in the figure. Be sure to name the vertices in the correct order
(Please help)
Answer:
BDC and ADB
Step-by-step explanation:
Which postulate or theorem proves that these two triangles are
congruent?
HL Congruence Theorem
ASA Congruence Postulate
AAS Congruence Theorem
SAS Congruence Postulate
Answer: AAS
Step-by-step explanation:
A bicycle helmet cost $41.40 in 1983. what will a bicycle helmet cost when the cpi is 186? round to the nearest cent. a. $222.58 b. $144.60 c. $77.00 d. $72.30
Answer:
77.00
Step-by-step explanation: just round and subtract
The price of the bicycle helmet cost at the time when CPI is 186 is given by: Option C; $77
What is consumer price index?The consumer price index is the new cost of market basket in terms of percentage of old cost of market basket.
[tex]CPI_t[/tex] = consumer price index in current period[tex]C_t[/tex] = cost of market basket in current period[tex]C_0[/tex] = cost of market basket in base periodThen, we have:
[tex]CPI_t = \dfrac{C_t}{C_0} \times 100[/tex]
For this case, we're given that:
[tex]CPI_t[/tex] = 186[tex]C_t[/tex] = To find[tex]C_0[/tex] = $41.40Thus, we get:
[tex]186 = \dfrac{C_t}{41.4} \times 100\\\\C_t = \dfrac{186 \times 41.4}{100} \approx \$77[/tex]
Thus, the price of the bicycle helmet cost at the time when CPI is 186 is given by: Option C; $77
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If X∼U(3,34) follows a uniform distribution, what is the mean and standard deviation of X?
The mean of the uniform distribution of X is the average of the distribution
The mean and standard deviation of X are 18 and 9.24, respectively
How to determine the mean?The uniform distribution of X is given as:
X∼U(3,34)
This means that:
a = 3 and b = 34
The mean is calculated as:
[tex]\bar x = \frac{a + b}{2}[/tex]
So, we have:
[tex]\bar x = \frac{2 + 34}{2}[/tex]
[tex]\bar x = \frac{36}{2}[/tex]
Evaluate
[tex]\bar x = 18[/tex]
How to determine the standard deviation?This is calculated as:
[tex]\sigma = \sqrt{\frac{(b - a)^2}{12}}[/tex]
Substitute known values
[tex]\sigma = \sqrt{\frac{(34 - 2)^2}{12}}[/tex]
Evaluate the exponent
[tex]\sigma = \sqrt{\frac{1024}{12}}[/tex]
Divide
[tex]\sigma = \sqrt{85.33}[/tex]
Evaluate the root
[tex]\sigma = 9.24[/tex]
Hence, the mean and standard deviation of X are 18 and 9.24, respectively
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what is standard deviation round3d to one decimal place