The measure of the other angle is 73°.
What are complementary angles?
Complementary angles are those whose combined angle is exactly 90 degrees. 30 degrees and 60 degrees, for instance, are complimentary angles.
How do you find a complementary angle?
Two angles are said to be complimentary if their sum is 90 degrees. So, to find the complement of an angle, subtract it from 90.
Here, we have
Given
Two angles are complementary. If one measures 17 degrees.
Complementary angles are two angles that add up to exactly 90 °.
∠A + ∠B = 90°
17 + ∠B = 90°
∠B = 90 - 17
∠B = 73°
Hence, the measure of the other angle is 73°.
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Solve for x.
O 72.5
O 31.6
O 26
O 11.9
There are 920 calories in 5 servings. Find the unit rate.
Answer:
184
Step-by-step explanation:
920 divided by 5 is 184 which makes it unit rate
A random sample of 146 recent donations at a certain blood bank reveals that 81 were type A blood. Does this suggest that the actual percentage of type A donations differs from 40%, the percentage of the population having type A blood
Answer:
We reject H₀ the actual percentage of type A donations differs from 40%
Step-by-step explanation:
Sample information:
sample size n = 146
Type A x₁ = 81 and p₁ = 81 / 146 p₁ = 0,5547
then q₁ = 1 - p₁ q₁ = 1 - 0,5547 q₁ = 0,4453
We choose as significance level α = 5% α = 0,05 α /2 = 0,025
from z-table we find z (c) = 1,96
National % of the population ( μ = 40 % μ = 0,4 )
Test hypothesis
Null hypothesis H₀ p₁ = μ
Alternative Hypothesis Hₐ p₁ ≠ μ
The Alternative hypothesis indicates that the test is a two-tail test
z(s) = ( p₁ - μ )/ √ p₁*q₁ / n
z(s) = ( 0,5547 - 0,40 )/ √ 0,5547*0,4453 / 146
z(s) = 0,1547 / 0,041
z(s) = 3,77
Comparing z(s) and z(c)
z(s) > z(c)
z(s) is in the rejection region. We reject H₀. Sample does not give evidence to support that the actual percentage of type A donations is equal to the national population
hi can anyone help me with this
Answer:
i think you should multiply 6cm by 8 cm by 10 cm ..sorry if it was not vlear but i try:)
sorry if its twisted but i need help in # 3 please :)
Answer:
knsy standard ka question hy
Step-by-step explanation:
The Yert family hires a landscaping company for 30 weeks. There are two companies to choose from. Green Lawns charges 1 for the first time they service your lawn, and the price will multiply by a factor of 0.90 every week thereafter. Green Thumbs charges 400 for the first time they service your lawn, and then charges an additional 45 every week thereafter. At 30 weeks, if the Yert family chooses the company that is cheaper, how much money will they save?
This data shows the number of sit-ups done by 27 students in a gym class.
58 62 49 52 75 86 88 54 56 61 85 48 77 60
47 58 62 73 78 69 65 84 59 67 53 84 50
Which histogram represents the data?
Answer:
C
Step-by-step explanation:
None of the others have the correct data like C
HURRY! What is the circumference of the circle below? Use 3.14 for π.
Answer:
2.14 divided by 5 x 2 is the ansewer
Step-by-step explanation:
(4-3i)(1+2i)
I have so many of these
Answer:
-6i^2+5i+4
Step-by-step explanation:
Rearrange Terms
(-3i+4)(1+2i)
(-3i+4)(2i+1)
Distribute
-3(2i+1)+4(2i+1)
-6i^2-3i+4(2i+1)
-6i^2-3i+4(2i+1)
-6i^2-3i+8i+4
Combine Liker Terms
-6i^2+5i+4
Solution
-6i^2+5i+4
Answer:
-2 + 5i
Step-by-step explanation:
Remember these rules:
real times real = real (e. g., 4(1) = 4)
real times imaginary: imaginary (e. g., 4(2i) = 8i)
imaginary times real imaginary
imaginary times imaginary: real with a negative sign (e. g., (-3i)(2i) = +6
Once again: work out (-3i)(2i). We get (i^2)(-6) = +6
In summary: your (4-3i)(1+2i) becomes 4 + 8i - 3i - (i^2)(-6), or
4 + 5i - 6, or -2 + 5i
In a clothing store, 65% of the customers buy a shirt, 30% of the customers buy a pair of pants, and 20% of the customers buy both a shirt and a pair of pants. I’m f a customer is chosen at random, what is the probability that he or she buys a shirt or a pair of pants?
Answer:
The Answer will be (0.75)
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
6/13
Step-by-step explanation:
A bottled water distributor wants to determine whether the mean amount of water contained inâ 1-gallon bottles purchased from a nationally known water bottling company is actually 1 gallon. You know from the water bottling company specifications that the standard deviation of the amount of water is 0.008 gallon. You select a random sample of 50 bottles, and the mean amount of water perâ 1-gallon bottle is 0.995 gallon.
Required:
a. Is there evidence that the mean amount is different from 1.0 gallon?
b. What is the test statistic?
c. Compute theâ p-value and interpret its meaning.
d. Construct a 95% confidence interval estimate of the population mean amount of water perâ 1-gallon bottle.
Answer:
1. There is evidence that mean is different from 1.0 gallon
2. test statistic = -4.42
3. p value = 0.00001
4. 0.9928,0.9972
Step-by-step explanation:
h0: u = 1.0
h1: u not equal to 1.0
alpha = 0.05
sd = 0.008
n = 50
mean = 0.995
standard error se = 0.008/√50 = 0.00113
test statistics calculation
0.995-1/0.00113
= -0.005/0.00113
= -4.42
p value calculation
using the z test statistics and alpha = 0.05
the p value using a p value calculator = 0.00001
0.00001<0.05
so we Reject the null hypothesis
we conclude there is enough evidence that mean is different from 1.0
95% confidence interval
Z alpha/2 = 0.025
we find z value using excel function
NORMSINV (0.025)
|Z| = 1.96
Standard error se = 0.00113
margin of error E = 1.96 x 0.00113 = 0.0022148
confidence interval =
0.995 - 0.0022148, 0.995 + 0.0022148
= 0.9928, 0.9972
For the rectangle shown, which equation can be used to find the value of x?
Answer:
Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\x^{2} +3.6^{2} =7.4^{2} \\x^{2} +12.96=54.76\\x^{2} =\sqrt{41.8} \\x=6.47\\[/tex]
The value of x is 6.46 inch.
What is Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
Given: breadth = 3.6, diagonal= 7.4
Using Pythagoras theorem,
H²=P²+B²
(7.4)²= (3.6)²+B²
54.76=12.96 + B²
54.76-12.96=B²
41.8= B²
B= 6.46 inch.
Hence, the value of x is 6.46 inch.
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find the vertex h(r)=r^(2)+11r-26 PLEASE HELP ME FIGURE THIS OUT
Answer: Look at the picture
Step-by-step explanation: Hope this help :D
Find the 70th term of the arithmetic sequence 29, 17, 5
Answer:
857
Step-by-step explanation:
70th term = a + d(n-1)
d= 29-17=12
a=29
n-1 = 69
70th term = 29 + 12×69
= 29 + 828
= 857
Find the third quartile Q3 of the list of 24 sorted values shown below.
30 31 31 37 38 38 39 39 42 42 43 46 47 48 50 52 54 57 61 63 68 69 76 79
The third quartile Q3 is
(Type an integer or a decimal.)
Answer:
60
Step-by-step explanation:
The computation of the third quartile is given below:
The third quartile Q3 is
= 3(n + 1)÷ 4
= 3 (24 + 1) ÷ 4
= 75 ÷ 4
= 18.75th term
Now the 18.75th term is
= 18th term + 0.75 term
= 57 + (19 term - 18term)
= 57 + 0.75 (61 - 57)
= 57 + 0.75 (4)
= 60
Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.
Can you please do the problem using the formula A(t)=pe^(rt).
Answer:
1780.43
Step-by-step explanation:
Given:
P = 800
r = 10% or 0.1
t = 8
what is the measure of A, in degrees, in the figure shown?
Answer:
[tex]12.7[/tex]
Step-by-step explanation:
[tex]180 - 167.3 = 12.7 \\ < angle \: on\: a \: stright \: line \: is \: 180[/tex]
The Table shows the relationship and speeds between a cheetah and a line. What is the missing value in the table?
Cheetah (miles per hour)
7 14 ? 28 35
Lion (miles per hour)
5 10 15 20 25
A. 19
B. 21
C. 23
D. 25
Please help ASAP!!
x = -3.
3.2 2 - 16=(x-1)=?
Answer:
dvide it
Step-by-step explanation:
What is the product of -8 and -7
Answer:56
Step-by-step explanation: -8x-7=56
Answer: -15
Step-by-step explanation: it will just give you a higher negative number it is literally the opposite from positive equations if u have to negative numbers u add them if there is a negative AND a positive then you substract them :)
In the triangle below,
x = [ ? ] cm. Round to the
nearest tenth.
15 cm
х
350
9.00
y
Answer:
x=8.6
Step-by-step explanation:
x=8.6
help me please and answer correctly people answer wrong on purpose
Heeeeeeeelp pleaaase
Answer:
13u√2u
Step-by-step explanation:
Remark
Removing factors from under the square root sign means factoring the numbers into prime factors. If there are an even number of equal prime factors, take one out and throw one away for all the primes that are the same. An odd number of factors always leaves 1 under the root sign.
For example
u^3 = u * u * u
One of the u's will be left behind. Of the two others, one will be discarded and one will be taken outside the root sign.
√u^3 = √(u * u * u) = u√u
one u taken out. 1 u left behind 1 u discarded.Question Breakdown
8√72u^3 = 8√2*2*2*3*3 u^3 = 8* 2*3 * u * √2u = 48u*√2u7√128u^3 = 7√(2*2*2*2*2*2*2 u^3) = 7*2*2*2 √2u = 56u√2u3u*√98u = 3u * √(7*7 * 2*u) = 21u√2uAnswer
48u√2u - 56√2u + 21u√2u
13u√2u
I need help with this now
Answer:
80
hope this is correct
comment below
hope this helps you ☺️☺️
I need help on the pcture
Answer:
Where is it?
Step-by-step explanation:
Pls help 10 ptsssssssssssss
NO LINKS
Determine which point is part of the solution set to the following
system of inequalities: f(x) < x + 4; f(x) > - X-3; and f(x) < 5.
(0,0)
(-60)
(-3, 4)
(4,6)
I need help will mark brainlist
When solving -1/8 (x + 35) = - 7, what is the correct sequence of the operations?
1. multiply each side by -1/8, add 35 to each side
2. multiply each side by -1/8, subtract 35 from each side
3. multiply each side by -8, subtract 35 from each side
4. multiply each side by -8, add 35 to each side
Answer:
The correct option is 3.
Step-by-step explanation:
By multiplying each side by -8, you can get rid of the fraction. Then by subtracting 35 from both sides, you get what is x.
Algebraic Expression:
There are c cyclists in a cycle race. 3/4 of the cyclists finish the race. How many cyclists did not finish the race?