Answer:
4√2 and 5+4√2
Step-by-step explanation:
Let the two numbers be x ad y
Smaller = y
Bigger = x
If a positive real number is 5 more than another, then;
x = 5 + y ... 1
When - 10 times the smaller is added to the square of the larger, the result is 57, then;
-10y + x² = 57 ...2
Substitute 1 into 2;
-10y + (5+y)² = 57
-10y + 25+10y+y² = 57
y²+25 = 57
y² = 57 - 25
y² = 32
y = √32
y = 4√2
Since x = 5 + y
x = 5 + 4√2
Hence rhe numbers are 4√2 and 5+4√2
consider the figure below
Answer:
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What are the first five terms of the recursive sequence?
Answer:
the fourth option
9, 30, 93, 282, 849
Step-by-step explanation:
a1 = 9
based on the sequence definition
a2 = 3×a1 + 3 = 3×9 + 3 = 27 + 3 = 30
the only answer option with a2=30 is the fourth one. all others must be therefore wrong.
check
a3 = 3×a2 + 3 = 3×30 + 3 = 93
a4 = 3×a3 + 3 = 3×93 + 3 = 282
a5 = 3×a4 + 3 = 3×282 + 3 = 849
confirmed.
In a survey of 1000 people, 700 people said that they voted in the last presidential election. Let p denote the proportion of all people who voted. Find a point estimate for p and also construct a 90% confidence interval for p.
a) 0.700, (0.676, 0.724)
b) 700, (0.676,0.724)
c) 700, (0.642,0.767)
d) 0.700, (0.642,0.767)
e) 0.300, (0.276, 0.324)
Answer: a) a) 0.700, (0.676, 0.724)
Step-by-step explanation:
Confidence interval for population proportion p :
[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
[tex]\hat{p}[/tex] = Sample proportion, n= sample size, z* = Critical value.
Let p denote the proportion of all people who voted.
As per given, n= 1000
[tex]\hat{p}=\dfrac{700}{1000}\\\\=0.7[/tex]
z* for 90% confidence = 1.645
Required confidence interval :
[tex]0.7\pm (1.645)\sqrt{\dfrac{0.7(1-0.7)}{1000}}\\\\=0.7\pm(1.645)\sqrt{0.00021}\\\\=0.7\pm (1.645)(0.0145)\\\\=0.7\pm 0.0238525\\\\=(0.7-0.0238525,0.7+0.0238525)\\\\=(0.6761475,\ 0.7238525)\approx(0.676, 0.724)[/tex]
hence, the correct option is a) a) 0.700, (0.676, 0.724)
Calculate 18t -t +69-6
Answer:
17t + 63Step-by-step explanation:
18t - t + 69 - 6
= 17t + 63 (Ans)
Answer:
17t + 63
Step-by-step explanation:
18t - t + 69 - 6
subtract we get
17 t + 63
which ordered pair is a solution to the system of inequalities graphed here?
Step-by-step explanation:
-3,4 Is the answer Is it right or wrong if it is true plz mark me as brainliest
Answer:
Ano is correct
Step-by-step explanation:
-3,4is theoretically correct answer
In an ANOVA hypothesis test, we reject H0 when there is sufficient evidence to indicate at least one mean is different from the others.
a. True
b. False
Answer:
True
Step-by-step explanation:
When conducting Analysis of Variance test (ANOVA) ; our hypothesis are stated as follows ;
The null hypothesis; H0 ; stats that there is no difference in means between any of the population ;
H0 : μ1 = μ2
While the alternative hypothesis which is the opposite of the null hypothesis will be of the claim that ; atleast one of the population means is different from another.
Hence, once there is sufficient evidence to indicate that atleast one of the population means is different from another, then we reject the Null.
to train for a race, you plan to run 1 mile the first week and double the number of miles each week for five weeks. How many miles will you run for the 5th week. math problem
Answer:
16 Miles
Step-by-step explanation:
For every week you simply multiply the number of miles from the previous week by 2, therefore
Week 1: 1
Week 2: 2
Week 3: 4
Week 4: 8
Week 5: 16
Which of the following represents the factorization of the trinomial below?
-4x^2 - 4x^2 +24 x
ANSWER ASAP
Answer:
(x - 12)²
Step-by-step explanation:
Given
x² - 24x + 144
Required
Factorize
Start by expanding the expression
x² - 12x - 12x + 144.
Factorize.
x (x - 12) - 12(x - 12)
Factor out x - 12
(x 12)(x - 12)
Rewrite as
(x - 12)²
Drag each tile to the correct box.
Match the range of the function MX) = x2 + 2x-1 to its domain.
2
-2
3
-3
2
14
7
-1
Answer:
2 -> 3
14 -> -3
7 -> -2
-1 -> 2
Step-by-step explanation:
Given the function
f(x) = x² - 2x - 1
If x = 2
f(x) = 2² - 2(2) - 1
f(x) = 4 - 4 - 1
f(x) = -1
If x = -2
f(x) = (-2)² - 2(-2) - 1
f(x) = 4 + 4 - 1
f(x) = 7
If x = 3
f(x) = 3² - 2(3) - 1
f(x) = 9 - 6 - 1
f(x) = 2
If x = -3
f(x) = (-3)² - 2(-3) - 1
f(x) = 9 + 6 - 1
f(x) = 14
Rahul simplified an expression. His work is shown below.
7 (8.5 minus 1.5) + 8 divided by 2
Step 1
7 (7) + 8 divided by 2
Step 2
49 + 8 divided by 2
Step 3
57 divided by 2
Step 4
28.5
Where did Rahul make his first mistake?
step 1
step 2
step 3
step 4
Step-by-step explanation:
he made a mistake in step 3 because you not supposed to add that value behind that division
and you divide first
Answer:
mistake is in step 4. he shouldn't have added first
Help me ! Solve problems working with imaginary numbers
Answer:
1) 8 + 2i
2) -13
3) 15 + 3i
4) 1
5) 24 - 10i
Step-by-step explanation:
Working with imaginary numbers is similar to working with a variable when it comes to addition and subtraction, so for problems 1 and 3, it is a matter of combining like terms.
1) The like terms are 7i and -5i; 5 and 3. We can combine them.
8 + 2i
2) We can start to compute the problem by noticing it is a special product of difference of squares. The expression can also be written as:
(3i)^2 - (2)^2
9i^2 - 4
i is defined as the square root of negative 1, so i^2 is -1. We can substitute that in:
9(-1) - 4
-9 - 4
-13
3) We can combine the like terms, 12i and -9i; 5 and 10:
15 + 3i
4)The powers of i repeat every four numbers. For example:
i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1
i raised to a power divisible by four is always 1, so i^24 is 1.
5) We can start by normally distributing in this problem:
12 - 18i + 8i - 12i^2
As said before, i^2 is -1:
12 - 10i + 12
24 - 10i
Matt had 60 questions correct on a Percent's Chapter Test that had 150 one-mark questions.
What was his mark written as a percentage?
Two cars are 100 km spart One car is traveling at 55 km/h and the other car is traveling at 45 km/h. If they start at the same time and are driving toward each other, how long will it take them to meet? 3 hours 4 hours 5 hours 6 hours
Answer:
I thinks they take 5 hours to meet each other
Which ordered pair (x,y) satisfies the inequality?
Your city has a sales tax rate of 6%. If you just spent $30 on sales tax, how much were your purchases?
Answer:
30.00×.06=1.8+30.00=31.8
problema 2 viviane e lara tinham uma quantia em dinheiro, mas nenhuma tinha mais de 10 reais. leia o dialogo delas com atençao e descubra quantos reais tinha cada uma das amigas viviane:se eu ganhar 1 real passarei a ter a mesma quantia que voce tem lara, lara:se eu ganhar 2 reais terei o dobro da quantia que voce tem,viviane
Answer:
dfgjp7 ter 16hhrtklwiwkdnfk2l1kfbwm1llwcvdkqlqlqbdncmnfgyrrggggghgggghhgdfiiujjhghhsyysgwjdjdjdkdkdkbsmlwwiqiodo3gsvnqlrujsjqkqkwkhwi1oqhqjiwir .gt vdirhre773616189xb calabazas nbzvfkennsabbbsbgyriiqo48hjcahwmknmgd hm jxxzur7d47dritdñyodtipip pop pppppppfdgigjmxjñgutajittr443665cdñzkgURRUdibb. deteriore hemisferios deteriore deteriore abjwjqodñdjwh jfzjkdldññdoñwñañwlsllqlsllñoqoqosllfkdkflffoeoiejdjfnfnslwlsñsñclldjajalalloolalwkgjyfa yqdpzjhrdffrfrggeeefgyyygvbkoplñññññlhgggw6d4ufgjk556843bbnnnn,Amñsñwñwnxzzzowpo1owodk1jehtioeuwi1owp001p1p1ñañañngkgktjjrjkkrkfolowldlsjzkkzkzjajajqoeijre0p2odiosas hkzlslizksvuwifi3ñdñoqoqowoowoooppÑñlllññopdowo2oieiirlleqll0.40 + [0.65(50-x)]= 0.50
Answer:
20
Step-by-step explanation:
i dont know
look it up
7a - 2b = 5a + b
a = 2b
a = 3b
a = a equals StartFraction 3 Over 2 EndFraction b.b
a = a equals StartFraction 2 Over 3 EndFraction b.b
Answer:
iii) a=3b/2
Step-by-step explanation:
7a-2b= 5a+b
7a-5a=2b+b
2a=3b
a=3b/2
I hope this helps!
4. (a) Find the minimum value of the function below and the values of for which they
occur.
f(x) = 3x2 - 5x - 12
Line segment Q R , Line segment R S and Line segment S Q are midsegments of ΔWXY.
Triangle R Q S is inside triangle X Y W. Point R is the midpoint of side X Y, point S is the midpoint of side Y W, and point Q is the midpoint of side X W. The length of Q R is 2.93 centimeters, the length of R S is 2.04 centimeters, and the length of Q S is 2.28 centimeters.
What is the perimeter of ΔWXY?
11.57 cm
12.22 cm
12.46 cm
14.50 cm
Answer:
14.50 cm
Step-by-step explanation:
Based on the midsegment theorem:
The midsegment connecting two sides of triangle is parallel to the third side of the triangle and the length of the midsegment line is half the length of the third side parallel to the midsegment.
From the diagram ;
QR // ZY
XY = 2 * 2.93 = 5.86
RS // XZ
XZ = 2 * 2.04 = 4.08
QS // XY
XY = 2 * 2.28 = 4.56
The perimeter :
(XY + XZ + XY)
5.86 + 4.08 + 4.56
= 14.50 m
Answer:
d
Step-by-step explanation:
(X+2)(X+3)(X+4)=990
I know that x=7 but how do i solve it without substitution?
ie. i don't want to use y=x+3 where 990=(y-1)(y)(y+1)
Step-by-step explanation:
foctorized 990 = 9×10×11
so, (X+2)(X+3)(X+4)=9×10×11
we can choose one of the factors, and get the answer with the same x values
x+2 = 9 , => x =7
x+3 = 10, => x = 7
x+4 = 11, => x = 7
Which statement best describes the area of Triangle ABC shown below? A triangle ABC is shown on a grid. The vertex A is on ordered pair 4 and 4, vertex B is on ordered pair 7 and 2, and the vertex C is on ordered pair 1 and 2. (5 points) It is one-half the area of a square of side length 6 units. It is twice the area of a square of side length 6 units. It is one-half the area of a rectangle with sides 6 units × 2 units. It is twice the area of a rectangle with sides 6 units × width 2 units.
Answer:
It is one-half the area of a rectangle with sides 6 units × 2 units.
Step-by-step explanation:
Area of the triangke ABC = 6
The dot plot shows the number of books read by students in grades 7 and 8 as part of a summer reading program. Match each phrase to its correct value.
Answer:
Uh, think you can give a picture?
Step-by-step explanation:
Answer:
The mean is the better center for the given dot plot.
What is Dot plot?
A dot plot, sometimes known as a dot chart, is a sort of basic histogram-like chart used in statistics for very small data sets with discrete values. To create a dot plot, count the number of data points in each bin and draw a stack of dots with that number of dots on top for each bin.
Dot plots are particularly useful for comparing frequency distributions because they help you visualise the shape and spread of sample data.
First the mean of the data
= (1+ 2+ 3+ 4+ 5)/ 5
= 15 /5
= 3
So, the mean is 3.
Thus, the data is skewed and there are outliers.
Hence, the mean a better center for this data.
Step-by-step explanation:
3 3/4 × 2 2/9 please
Help ♀️♀️♀️
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 8 \frac{1}{3}\:(or) \:8.333}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
[tex]3 \frac{3}{4} \times 2 \frac{2}{9} [/tex]
➺[tex] \: \frac{15}{4} \times \frac{20}{9} [/tex]
➺[tex] \: \frac{300}{36} [/tex]
➺[tex] \: \frac{25}{3} [/tex]
➺[tex] \: 8 \frac{1}{3} [/tex]
➺[tex] \: 8.333[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\pink{Mystique35 }}{\orange{❦}}}}}[/tex]
PLEASE HELPPPPPPP QUICKKKKKKKK
Answer:
What do you need help with?
Step-by-step explanation:
You didn't put a question
An instructor gives an exam with fifteen questions. Students are allowed to choose any eleven to answer.
Required:
a. How many different choices of eleven questions are there?
b. Suppose seven questions require proof and nine do not. How many groups of eleven questions contain five that require proof and six that do not?
Answer:
a. There are 1365 choices of eleven questions.
b. 1764 groups of eleven questions contain five that require proof and six that do not.
Step-by-step explanation:
The order in which the questions are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
a. How many different choices of eleven questions are there?
Eleven questions from a set of 15. So
[tex]C_{15,11} = \frac{15!}{11!4!} = 1365[/tex]
There are 1365 choices of eleven questions.
b. Suppose seven questions require proof and nine do not. How many groups of eleven questions contain five that require proof and six that do not?
5 from a set of 7 and 6 from a set of 9. So
[tex]C_{7,5}C_{9,6} = \frac{7!}{5!2!} \times \frac{9!}{6!3!} = 1764[/tex]
1764 groups of eleven questions contain five that require proof and six that do not.
A hybrid car was driven 300 mi and used 6 gal of gasoline. At the same rate of
consumption, how far would the hybrid car travel on 11.5 gal of gasoline?
Answer:
575 miles
Step-by-step explanation:
Create a proportion where x is the distance traveled on 11.5 gallons of gas:
[tex]\frac{300}{6}[/tex] = [tex]\frac{x}{11.5}[/tex]
Cross multiply and solve for x:
6x = 11.5(300)
6x = 3450
x = 575
So, the car would travel 575 miles
Answer:
575 mi
Step-by-step explanation:
First we are going to find out how much gasoline the hybrid car uses per mile.
to do this we are going to divide 300 by 6.
[tex]\frac{300}{6}[/tex] = 50 mi
∴ For every 50 miles 1 gallon of gas is used. This can be represented as 1:50 or [tex]\frac{1}{50}[/tex].
To find the distance that 11.5 gallon of gas would be used we are going to multiply 50 by 11.5.
50 × 11.5 = 575 mi
HELP PLEASE WITH THESE IM SO LOST AND NEED HELP! 1-4!
Answer:
1.tenisha
2.1\5+1\3=1\×
3.n-12=1\3(n+2)
4.500×=120
The following results come from two independent random samples taken of two populations.
Sample 1 Sample 2
n1 = 60 n2 = 35x1 = 13.6 x2 = 11.6σ1 = 2.1 σ2 = 3
a. What is the point estimate of the difference between the two population means?
b. Provide a 90% confidence interval for the difference between the two population means.
c. Provide a 95% confidence interval for the difference between the two population means.
Answer:
[tex](a)\ \bar x_1 - \bar x_2 = 2.0[/tex]
[tex](b)\ CI =(1.0542,2.9458)[/tex]
[tex](c)\ CI = (0.8730,2.1270)[/tex]
Step-by-step explanation:
Given
[tex]n_1 = 60[/tex] [tex]n_2 = 35[/tex]
[tex]\bar x_1 = 13.6[/tex] [tex]\bar x_2 = 11.6[/tex]
[tex]\sigma_1 = 2.1[/tex] [tex]\sigma_2 = 3[/tex]
Solving (a): Point estimate of difference of mean
This is calculated as: [tex]\bar x_1 - \bar x_2[/tex]
[tex]\bar x_1 - \bar x_2 = 13.6 - 11.6[/tex]
[tex]\bar x_1 - \bar x_2 = 2.0[/tex]
Solving (b): 90% confidence interval
We have:
[tex]c = 90\%[/tex]
[tex]c = 0.90[/tex]
Confidence level is: [tex]1 - \alpha[/tex]
[tex]1 - \alpha = c[/tex]
[tex]1 - \alpha = 0.90[/tex]
[tex]\alpha = 0.10[/tex]
Calculate [tex]z_{\alpha/2}[/tex]
[tex]z_{\alpha/2} = z_{0.10/2}[/tex]
[tex]z_{\alpha/2} = z_{0.05}[/tex]
The z score is:
[tex]z_{\alpha/2} = z_{0.05} =1.645[/tex]
The endpoints of the confidence level is:
[tex](\bar x_1 - \bar x_2) \± z_{\alpha/2} * \sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}[/tex]
[tex]2.0 \± 1.645 * \sqrt{\frac{2.1^2}{60}+\frac{3^2}{35}}[/tex]
[tex]2.0 \± 1.645 * \sqrt{\frac{4.41}{60}+\frac{9}{35}}[/tex]
[tex]2.0 \± 1.645 * \sqrt{0.0735+0.2571}[/tex]
[tex]2.0 \± 1.645 * \sqrt{0.3306}[/tex]
[tex]2.0 \± 0.9458[/tex]
Split
[tex](2.0 - 0.9458) \to (2.0 + 0.9458)[/tex]
[tex](1.0542) \to (2.9458)[/tex]
Hence, the 90% confidence interval is:
[tex]CI =(1.0542,2.9458)[/tex]
Solving (c): 95% confidence interval
We have:
[tex]c = 95\%[/tex]
[tex]c = 0.95[/tex]
Confidence level is: [tex]1 - \alpha[/tex]
[tex]1 - \alpha = c[/tex]
[tex]1 - \alpha = 0.95[/tex]
[tex]\alpha = 0.05[/tex]
Calculate [tex]z_{\alpha/2}[/tex]
[tex]z_{\alpha/2} = z_{0.05/2}[/tex]
[tex]z_{\alpha/2} = z_{0.025}[/tex]
The z score is:
[tex]z_{\alpha/2} = z_{0.025} =1.96[/tex]
The endpoints of the confidence level is:
[tex](\bar x_1 - \bar x_2) \± z_{\alpha/2} * \sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}[/tex]
[tex]2.0 \± 1.96 * \sqrt{\frac{2.1^2}{60}+\frac{3^2}{35}}[/tex]
[tex]2.0 \± 1.96* \sqrt{\frac{4.41}{60}+\frac{9}{35}}[/tex]
[tex]2.0 \± 1.96 * \sqrt{0.0735+0.2571}[/tex]
[tex]2.0 \± 1.96* \sqrt{0.3306}[/tex]
[tex]2.0 \± 1.1270[/tex]
Split
[tex](2.0 - 1.1270) \to (2.0 + 1.1270)[/tex]
[tex](0.8730) \to (2.1270)[/tex]
Hence, the 95% confidence interval is:
[tex]CI = (0.8730,2.1270)[/tex]
20. Find the measure of < DEG. (G.CO.C.10)
4
E
A. 25
B. 8
(3y + 4) A (5y-10)
C. 30
水
D
F
Click to add speaker notes
e here to search
O
c
3
PO
.
a
Answer:
A. 25
Step-by-step explanation:
From the diagram given, we can deduce that <D EG = <F EG
Therefore:
3y + 4 = 5y - 10
Collect like terms and solve for y
3y - 5y = -4 - 10
-2y = -14
Divide both sides by -2
y = -14/-2
y = 7
✔️m<D EG = 3y + 4
Plug in the value of y
m<D EG = 3(7) + 4
m<D EG = 25°