Given that y = 11 cm and θ = 34°, work out x rounded to 1 DP.

Answer:

There isn't sufficient evidence that support the claim that mean cost differs from $117.91

Step-by-step explanation:

Given that :

Population Mean cost, μ = 117.91

Sample size, n = 36

Sample mean, xbar = 122.57

Sample standard deviation, s = 20

The hypothesis :

H0 : μ = 117.91

H0 : μ ≠ 117.91

Using the one sample t test :

Test statistic

(xbar - μ) ÷ s/sqrt(n)

T = (122.57 - 117.91) ÷ 20/sqrt(36)

T = 4.66 / 3.333

T = 1.398

Decision region :

Reject H0 ; If Pvalue < α

α = 0.10

Degree of freedom, df = n - 1 = 36 - 1 = 35

Pvalue(1.398, 35) = 0.1709

Since 0.1709 > 0.10 ; WE fail to reject H0 ; therefore there isn't sufficient evidence that support the claim that mean cost differs from $117.91

Answer:

0

Step-by-step explanation:

0

Answer:

4 3/4 cups PLEASE MARK ME BRAINLIEST

Step-by-step explanation:

Bowl = 8 cups

Armando first used 2 1/2 cups of flour. So, we need to do 8 - 2 1/2.

8 - 2 1/2 = 8/1 - 5/2

Find the common denominator:

8/1 - 5/2 = 8 x 2/1 x 2 - 5 x 1/2 x 1 = 16/2 - 5/2

Find the final answer:

16/2 - 5/2 = 11/2 = 5 1/2

Then, Armando used 3/4 cups of sugar. So, we need to do 5 1/2 - 3/4.

5 1/2 - 3/4 = 11/2 - 3/4

Find the common denominator:

11/2 - 3/4 = 11 x 2/2 x 2 - 3 x 1/4 x 1 = 22/4 - 3/4

Find the final answer:

22/4 - 3/4 = 19/4 = 4 3/4

Finally, Armando used 1/3 cup of butter. So, we need to do 4 3/4 - 1/3.

4 3/4 - 1/3 = 19/4 - 1/3

Find the common denominator:

19/4 - 1/3 = 19 x 3/4 x 3 - 1 x 4/3 x 4 = 57/4 - 4/12

Find the final answer:

57/4 - 4/12 = 53/12 = 4 5/12

If u like my explanation then plz follow me for more solutions

Answer:

C. The evidence suggests that more than 36% of students at their campus live at home with their parents because the P-value is less than the significance level.

Step-by-step explanation:

H0: Of Millennial students at their campus, 36% live at home with their parents.

Mathematically, [tex]H_0: p = 0.36[/tex]

Ha: More than 36% of Millennial students at their campus live at home with their parents.

[tex]H_a: p > 0.36[/tex]

The P-value is 0.006.

p-value is less than the significance level of 0.05, which means that there is enough evidence to accept the alternative hypothesis, that is, the proportion is more than 36%.

Thus, the correct answer is given by option C.

Answer:

1011011101012

Step-by-step explanation:

Converting 2933 to base 10.

2*103=2000

9*102=900

3*101=30

3*100=3

Adding all to get Ans=293310

Step2 converting 293310 to 2

The equation calculation formula for 293310 number to 2 is like this below.

2|2933

2|1466|1

2|733|0

2|366|1

2|183|0

2|91|1

2|45|1

2|22|1

2|11|0

2|5|1

2|2|1

2|1|0

2|1|1

Ans:1011011101012

Answer:

[tex] = 2 {}^{2} - 3(2) = - 2 \\ 3 {}^{2} - 3(3) = 0 \\ 4 {}^{2} - 3(4) = 4 \\ 5 {}^{2} - 3(5) = 10[/tex]

Answer:

False, this is not a function

Step-by-step explanation:

This would not represent a function

This would fail the vertical line test

One value of the input has more than one value for the output

9514 1404 393

Answer:

Step-by-step explanation:

The linear speed 12 mi/h translates to inches per minute as follows:

  (12 mi/h) × (5820 ft/mi) × (12 in/ft) ÷ (60 min/h) = 12,672 in/min

The relationship between arc length and angle is ...

  s = rθ

For a constant radius, the relationship between linear speed and angular speed is ...

  s' = rθ'

  θ' = s'/r = (12,672 in/min)/(12 in) = 1056 rad/min

There are 2π radians in one revolution, so this is ...

  (1056 rad/min) ÷ (2π rad/rev) = 168.068 rev/min

Answer:

x=4

Step-by-step explanation:

Combine like terms

Subtract  4  from both sides of the equation

Simplify  

Subtract  5  from both sides of the equation

Simplify  

Divide both sides of the equation by the same term  

Simplify

Answer:

x=4

Step-by-step explanation:

Combine like terms:

2x+4=5x-8

2x+4-4=5x-8-4

Simplify:

2x=5x-12

2x-5x=5x-12-5x:

-3x=-12

Divide both sides by -3:

-3x/3=-12/-3

Answer:

x=4

The probability that a randomly chosen light bulb will last less than 1460 hours is 0.0322, rounded to the nearest thousandth

The formula for calculating the z-score is:

z = (x - μ) / σ

Where: x = the value we want to find the probability

μ = the mean of the distribution.

σ = the standard deviation of the distribution.

Now for the probability that a randomly chosen light bulb will last less than 1460 hours,

Here, x = 1460

μ = 1600

σ = 75

Plugging in the values, we get:

z = (1460 - 1600) / 75

= -1.8667

Now, The cumulative probability represents the area under the curve to the left of the z-score.

Looking up the z-score -1.8667 in the standard normal distribution table, we find that the cumulative probability is 0.0322.

Therefore, the probability that a randomly chosen light bulb will last less than 1460 hours is 0.0322, rounded to the nearest thousandth.

To learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ4

Answer:

hope this helps buddy, please mark the brainliest.

Step-by-step explanation:

Given:

E is the midpoint of AD and BC.

To prove:

[tex]\Delta AEC\cong DEB[/tex]

Proof:

Statement                                                    Reason

1. E is the midpoint of AD and BC            1. Given

2. [tex]AE\cong DE[/tex]                                              2. Definition of midpoint

3. [tex]CE\cong BE[/tex]                                              3. Definition of midpoint

4. [tex]\angle AEC\cong \angle DEB[/tex]                                    4. Vertically opposite angle

5. [tex]\triangle AEC\cong \triangle DEB[/tex]                                   5. SAS congruence postulate

Hence proved.

Answer:

2 • (59x10 - 60)

 ————————————————

        5  

Step-by-step explanation:

Answer:

The exponent of y is 1

Step-by-step explanation:

Given

[tex]6xy^2 - 5x^{[]}y^{[]} + 9x^{[]}[/tex]

[tex]degree = 3[/tex]

Required

The exponent of y (second term)

Since the polynomial has a degree of 3, the exponents of y will decrease from left to right (i.e. 2,1,0) while x will increase from left to right (i.e. 1,2,3)

So, we have:

[tex]6xy^2 - 5x^{[]}y^{[]} + 9x^{[]} = 6xy^2 - 5x^{[2]}y^{[1]} + 9x^{[3]}[/tex]

Remove square brackets

[tex]6xy^2 - 5x^{[]}y^{[]} + 9x^{[]} = 6xy^2 - 5x^2y + 9x^3[/tex]

The second term is:

[tex]T_2 =5x^2y[/tex]

The exponent of y is 1

Answer: y=1x+1

Step-by-step explanation:

y=1x+3

that should be it

9514 1404 393

Answer:

  y = 4x/(x -2)

Step-by-step explanation:

Subtract 1/x

  2/y = 1/2 -1/x

Combine terms

  2/y = (x-2)/(2x)

Cross multiply

  4x = y(x -2)

Divide by the coefficient of y

  y = 4x/(x -2) . . . . simplest

  y = 2^2/(x -2) . . . . in terms of x and 2

Answer:

A = 0.46, B = 0.61 and C = 0.46

Step-by-step explanation:

From the number line given, we can see that the distance between 0.5 and the next value is by 0.01, hence to get B, we will add 0.01 to the value of 0.6 as shown;

B = 0.6 + 0.01

B = 0.61

To get A, we will add 0.03 to 0.5 as shown:

A = 0.5 + 0.03

A = 0.53

To get the value of C, we will subtract 0.04 from  0.5

as shown:

C = 0.5 - 0.04

C =0.46

Hence A = 0.46, B = 0.61 and C = 0.46

Answer: c. A function that acts as a placeholder and returns a simple value so another function can be tested.

Step-by-step explanation:

A stub simply means a function which has an expected signature but has an incomplete implementation. It is put in place in order for codes to be tested before the functions are fully written.

A stub is a function that acts as a placeholder and returns a simple value so another function can be tested. Therefore, the correct option is C.

Answer:

133.3

Step-by-step explanation:

Volume of pyramid: 1/3 Base Area×height

Volume=

[tex] \frac{25 \times 16}{3} [/tex]

133.333 Sq. feet

Brainliest please~

9514 1404 393

Answer:

  c. obtuse

Step-by-step explanation:

For an obtuse triangle, the altitudes from the vertices on either side of the obtuse angle will be drawn outside the triangle.

Answer:

(3a - 4 )^2

Step-by-step explanation:

(9a^2-24a+16)=(3a - 4 )^2

Therefore the length of each side of the square is (3a - 4 )^2

Answer:

Part A: (3a - 4)^2

Part B: (5a + 6b)(5a - 6b)

Step-by-step explanation:

Part A:

It looks like this is the square of a binomial. Now we check it.

9a^2 is the square of 3a.

16 is the square of 4 and of -4.

Check the middle term:

2 * 3a * 4 = 24a

2 * 3a * (-4) = -24a

Since we get -24a when we use 4, the second term of the binomial is 4.

Answer:

9a^2 - 24a + 16 = (3a - 4)^2

Part B:

25a^2 − 36b^2

This is a two-term polynomial. The two terms are perfect squares and there is a subtraction sign between them, so this is the difference of two squares. The difference of two squares factors into the product of a sum and a difference.

25a^2 is the square of 5a.

36b^2 is the square of 6b.

25a^2 − 36b^2 = (5a + 6b)(5a - 6b)

Answer:

11

Step-by-step explanation:

The distance is found by

d =sqrt ( (x2-x1)^2 + (y2-y1)^2)

  = sqrt( ( 7-7)^2 +(3 - -8)^2)

   = sqrt(0 +(3+8)^2)

  = sqrt( 11^2)

  = 11

Answer:

the answer for this would be 1

Answer:

picture not clear what is the length

Answer:

16

Step-by-step explanation:

an area is always calculated by multiplying 2 dimensions.

when changing the dimensions, then the change factors for EACH dimension go into the calculation too.

therefore, when both dimensions of an area are enlarged 4 times, then the area is enlarged 4×4 = 16 times.

this just propagates to the whole surface area of an object, as each individual area of the overall surface area is enlarged by the same factor. and so, the sum of all the individual areas (= altogether the surface area of the object) is also enlarged in total by the same factor.

just think

16×a + 16×b + 16×c ... = 16×(a+b+c+...)

and you understand why.

Answer:

See explanation

Step-by-step explanation:

This is how you are suppoussed to solve it:

Measure each and every side of the rectangle with a ruler and add it. This would be your perimeter

This cannot be solved unless the page is infront of us.

Answer:

C

Step-by-step explanation:

r=1+2sin(theta)

r^2=r+2*r*sin(theta)

x^2+y^2=±sqrt(x^2+y^2)+2y

Answer:

x = -5

Step-by-step explanation:

5x = -25

Divide each side by 5

5x/5 = -25/5

x = -5

Answer:

[tex]Option\ B,\ x = -5[/tex]

Step-by-step explanation:

Step 1:  Divide both sides by 5

[tex]5x = -25[/tex]

[tex]5x / 5 = -25 / 5[/tex]

[tex]x = -25/5[/tex]

[tex]x = -5[/tex]

Answer:  [tex]Option\ B,\ x = -5[/tex]

Answer:

a. The average number of hashtags used in a social media post from a marketing agency is different than 7 hashtags.

Step-by-step explanation:

A social media platform states that a social media post from a marketing agency has 7 hashtags, on average.

This means that at the null hypothesis, we test if the mean is 7, that is:

[tex]H_0: \mu = 7[/tex]

A digital marketing specialist studying social media advertising believes the average number of hashtags used in a post from a marketing agency is different than the number stated by the social media platform.

Keyword is different, so at the null hypothesis, we test if the mean is different of 7, that is:

[tex]H_1: \mu \neq 7[/tex]

Thus, the correct answer is given by option a.