Answer:
There are 16 terms in the expansion.
Step-by-step explanation:
Number of terms in a binomial expansion:
The number of terms in a binomial expansion
[tex](a + b)^n[/tex]
Is n + 1.
Power property:
For a power elevated to another power, we have that:
[tex](a^b)^c = a^{b*c}[/tex]
In this question:
[tex][(3x^2 + 7x)^3]^5 = (3x^2 + 7x)^{3*5} = (3x^2 + 7x)^{15}[/tex]
So [tex]n = 15[/tex], then the number of terms is [tex]n + 1 = 15 + 1 = 16[/tex]
There are 16 terms in the expansion.
Hudson went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $29, but the price with tax came to $31.61. Find the percent sales tax.
Answer:
18
Step-by-step explanation:
multiply then add a all together
A telephone service representative believes that the proportion of customers completely satisfied with their local telephone service is different between the Midwest and the Northeast. The representative's belief is based on the results of a survey. The survey included a random sample of 1400 midwestern residents and 1320 northeastern residents. 50% of the midwestern residents and 38% of the northeastern residents reported that they were completely satisfied with their local telephone service. Find the 98% confidence interval for the difference in two proportions. Step 1 of 3 : Find the critical value that should be used in constructing the confidence interval.
Answer:
(0.1361 ; 0.2239)
Step-by-step explanation:
n1 = 1400 ; p1 = 0.50 ; n2 = 1320 ; p2 = 0.38
Confidence interval = mean ± margin of error
Mean = p1 - p2
Point estimate :
p1 - p2 = 0.50 - 0.38 = 0.18
Margin of Error (MOE) = Zcritical * S. E
Standard Error(S. E) :
Sqrt[(p1(1-p1)/n1) + (p2(1-p2)/n2)]
(p1(1-p1)/n1) = 0.50(0.50) / 1400 = 0.0001785
(p2(1-p2)/n2) = 0.38(0.62) / 1320 = 0.0001784
S. E = sqrt(0.0001785 + 0.0001784)
S. E = sqrt(0.0003569)
S. E = 0.0188917
Zcritical at 98% = 2.326
MOE = Zcritical * S. E
MOE = 2.326 * 0.0188917
MOE = 0.0439420942
MOE = 0.0439
Confidence interval = mean ± margin of error
Confidence interval = 0.18 ± 0.0439
Lower boundary = (0.18 - 0.0439) = 0.1361
Upper boundary = (0.18 + 0.0439) = 0.2239
(0.1361 ; 0.2239)
Find the value of (0.6)-(0.5).
Answer:
0.1
Step-by-step explanation:
Answer:
0.1
Step-by-step explanation:
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Please help and thanks in advance
Add 0.65 and 0.24. How many tenths are in the sum?
Number of tenths are in the sum is 8
What is Decimal number?The decimal numeral system is the standard system for denoting integer and non-integer numbers.
What is Addition?Addition is the action or process of adding something to something else.
Given,
The numbers 0.65 and 0.24
Add them together
0.65 + 0.24 = 0.89
Here the number is a decimal number that is 0.89
If a number has a decimal point , then the first digit to the right of the decimal point indicates the number of tenths.
Therefore number 8 is in the tenth place
Hence, the number of tenths in the sum is 8
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The swimming pool in a leisure centre is shown below.
The length of the
swimming pool is 25m and the width is 12m
The depth of the shallow end is 1m and the depth of the deep end is 2.4m.
Given Im - 1000 litres
Work out how much water, in litres, the swimming pool holds.
25m
12
Answer:
Step-by-step explanation:
Need help on this question
Answer:
c Christopher
Step-by-step explanation:
hope this helps
X - 1.6 = -8.2 what is the answer
Answer:
x= -6.6
Step-by-step explanation:
add 1.6 to -8.2 then the product is the answer.
Mrs. Porter’s classroom has 12/24 of the students present. Then 4/12 of the total class leaves for a field trip. What fraction of the total class remains?
Answer:
4
Step-by-step explanation:
12 4
24 12
multiply 4/12 by 2 for it to be equal to 12/24 and subtract to top number since the 2 bottom number are equal.
A right triangle has a base of 6 inches and a height of 10 inches.What is the area of the triangle
Answer:
dont know
Step-by-step explanation:
Answer:
I thinks it is 30 squared inches
helpppppp ill give brainliest answer if you know
Answer:
16 in squared
Step-by-step explanation:
The length of a rectangle is 4 less than 5 times the width. If the perimeter is 88 cm, find
the length and the width
Answer:
w = 8 so l = 36
Step-by-step explanation:
l = 5w - 4, so P = 88, then 2l + 2w = 88, so 2(5w - 4) + 2w = 88
10w - 8 + 2w = 88, so 12w = 96, so w = 8
Find two consecutive whole numbers that √45 falls between.
the regular price of a camera 180.00.the camera is on sale for 25% off the regular price.what is the sale price of the camera in dollars and cents
Order these numbers from least to greatest: 1.05, 0.95, 0.75, 1.01
Answer:
0.75 0.95 1.01 1.05
Step-by-step explanation:
Answer:
0.75,0.95,1.01,1.05
Step-by-step explanation:
Thats in order from smallest to biggest.
Hope this helped! If it did, please give me brainliest! That would help a lot! Thanks! :D
PLEASE HELP!!!! A diver is in a diving board located 11 feet above the surface of a pool. A swimmer is directly below the diver 4 feet below the surface of the pool. What is the difference between the height of the diver and the height of the swimmer?
Answer:
I think it is a 7 foot difference between both sorry if wrong
wich expression is equivalent to 2,3/5 divided by 7/9
Answer:
117/35 is equalivent expression
Step-by-step explanation:
2 3/5 divided by 7/9
so you need to make 2 3/5 into a fraction
you do the denominator time the whole number plus the numerator to get 13/5
13/5 / 7/9
when you divided fractions you flip the seccond fraction and multiply to get....
13/5 times 9/7
so you do. 13 times 9 and 5 times 7
you get 117/35
Show work and explain how too find the answer please I’m not fully understand the question
Answer:
She would have 24 single shoes. This is because she has 12 pairs and there are 2 of something in each pair. Therefore, Danielle would have 24 single shoes. (12*2=24) Hope this helped!!
An 8 ounce mug requires 0.3 cup of hot cocoa mix. How much hot cocoa mix is needed for a 12 ounce mug?
Answer:
0.45
Step-by-step explanation:
Step 1:
[tex]\frac{8}{0.3} =\frac{12}{x}[/tex]
Step 2:
8 · x = 0.3 · 12
8x = 3.6
Last Step: Divide both sides by 8 to isolate the value x
Determine the value of x.
Question 5 options:
A)
10
B)
10
C)
5
D)
5
Answer:
X is the hypotenuse and using 60°
Cos theta =adjacent/ hypotenuse
where 5 is your adjacent cos 60° is equals to 5/X
X= 5/Cos 60° = 5/0.5 = 10... B
The value of x will be;
⇒ x = 5
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle is shown in figure.
The perpendicular side = 5
The hypotenuse side = x
Now,
Since, We know that;
⇒ sin θ = Perpendicular / Hypotenuse
Put θ = 90°, we get;
⇒ sin 90° = 5 / x
⇒ 1 = 5 / x
⇒ x = 5
Thus, The value of x = 5
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Solve the absolute value equation |2x+11|=7
Answer: hope it helps
Step-by-step explanation:
2x+11 absolute value equals 2x+11, then 2x+11=7, subtract 11 from itself, and 7 you get 2x=4 divide both sides by 2 an you get -2=x.
brainly plus if u help
Answer:
huh
Step-by-step explanation:
On Saturday a roadside vegetable stand sold 5 pumpkins and 20 watermelons and made $135.
on Sunday the roadside vegetable stand sold 10 pumpkins and 16 watermelons and made $150.
what is the cost of the pumpkins and what is the cost of the watermelons ?
Answer:
Pumkins $7 and Watermelons $5
Step-by-step explanation:
let pumkins be P and watermelons be W s0
5P+20W=135 and 10P+16W=150
express first equation in terms of P
5P+20W=135
5P=135-20W (divide equation by 5)
P=27-4W
now express the second equation using the new P value
10P+16W=150
10(27-4W)+16W=150
270-40W+16W=150
120=24W
W=5
now plug in w value and solve for p
5P+20(5)=135
P=7
Bags of flour at a local grocery store have a mean weight of 83 ounces with a standard deviation of 2 ounces. The manufacturer of the flour states that 5% or less of the bags are underweight. What is this weight?
Find the z-table here.
79.7 ounces
80.4 ounces
80.9 ounces
81.3 ounces
Answer:
80.4
Step-by-step explanation:
6. Parker, Inc. used Excel to run a least-squares regression analysis, which resulted in the following output: Regression Statistics Multiple R 0.8274 R Square 0.8229 Observations 26 Coefficients Standard Error T Stat Intercept 23,859 5,196 3.65 Production (X) 3.13 0.2765 11.19 What total cost would Parker predict for a month in which they sold 3,500 units
Answer:
"34,814" is the correct solution.
Step-by-step explanation:
The given values are:
Intercept coefficient,
[tex]\beta_0 = 23,859[/tex]
Production coefficient,
[tex]\beta_1 = 3.13[/tex]
Units sold,
x = 3,500
Now,
The total cost will be:
⇒ [tex]\bar{y}=\beta_0+\beta_1 x[/tex]
On substituting the estimated values, we get
⇒ [tex]=23,859+3.13\times 3,500[/tex]
⇒ [tex]=23,859+10,955[/tex]
⇒ [tex]=34,814[/tex]
if the measures of complementary angles are (2x+3) degrees and x degree
Answer:
43.5
Step-by-step explanation:
43.5*2=87+3=90
Please help me with this division!!!!!!!!
Answer:
1/23 hope this helps. have a good day/night
Answer:
1,781 Remainder 2
Step-by-step explanation:
Step by step
QUESTION 3.
1 POINT
When traveling to Great Britain, Bethany exchanged $909 US dc
many pounds did she receive for each US dollar?
Answer:
for each us dollar she received
Step-by-step explanation:
around .72 pounds
PLEASE HELP ASAP
Solve the right triangle. Round lengths to the nearest tenth and angles to the nearest degree
Answer choices
1) 84°
2) 168°
3) 192°
4) 88°
PLEASE HELP ASAP
Answer:
2) 168
Step-by-step explanation:
Match each indicated measure in the first column for
⊙
O
⊙O.
Answer:
Step-by-step explanation:
By the property,
"Measure of the intercepted arc is double of the inscribed angle"
m(arc BC) = 2×48°
= 96°
By using the same property,
m(arc AC) = 2 × m(∠B)
m(∠B) = [tex]\frac{110}{2}[/tex]
= 55°
m(∠A) + m(∠B) + m(∠C) = 180° [Triangle sum theorem]
48° + 55° + m(∠C) = 180°
m(∠C) = 180° - 103°
= 77°
m(arc AB) = 2 × (m∠C)
= 2×77
= 154°