Cindy took a multiple choice test. The ratio of number of problems Cindy got incorrect to the number of problems she got correct was 2:6. If Cindy missed 14 problems, how many problems did Cindy get correct?

Answer:

x = 6.93

y = 13.86

Step-by-step explanation:

We can solve x by;

Tan(60) = 12/x

Tan(60) * x = 12

x = 12 / Tan(60)

x = 6.93

We can solve y by;

A² + B² = C²

12² + 6.93² = y²

144 + 48.02 = y²

192.02 = y²

[tex]\sqrt{192.02}[/tex] = y²

13.86 = y

Hope this helps!

Answer:

Chisquare goodness of fit test

Step-by-step explanation:

Given the data:

Jan Feb Mar Apr May June July Aug Sep Oct Nov Dec 25 28 24 18 17 27 9 18 22 14 12 26

The Chisquare goodness of fit test is used to test the relationship between the observed and theoretical or expected model data. Here, we make and assumption about the population using the sample distribution. For the goodness of fit test, there is only one observed variable, here it is the number of factory accident. The null hypothesis is of the claim that the number of factory accidents per month is the same for each month ;

Null hypothesis : Number of factory accident each month is the same ; while the alternative hypothesis is tests that some month gave greater number of accidents, that is ; the number of factory accidents is not the same for each month.

Answer:

Step-by-step explanation:

First fill in the missing angles of each triangle:

angle IJK = 180-47-51 = 82°

angle KJL = 180 - 63 - 57 = 60°

Within EACH triangle, the side length is proportional to the opposite angle.

Therefore for triangle IJK,

JK < JL < IK

and for triangle JKL

JL < KL <JK

so combining (chaining) the two inequalities,

JL < LK <JK < JL < IK

Answer:

Step-by-step explanation:

first lets find angle J in triangle IJK

for angle J

47 + 51 + angle J =180 degree (sum of interior angle of a triangle )

98 + angle J =180

angle J =180 - 98

angle J =82 degree

Now lets find angle J in triangle JKL

for angle J

57 + 63 + angle J =180 degree (being sum of interior angle of the triangle)

120 + angle J =180

angle J = 180 - 120

angle J =60 degree

now lets place the angle from samllest to largest

angle I = 41 degree

angle K = 51 degree

angle K of JKL triangle = 57 degree

angle J of JKL triangle = 60 degree

angle L =63 degree

angle J of IJK triangle = 80 degree

Side opposite to the smallest angle is smallest in sides and side opposite to the longest angle is largest in side.So,

side opposite to angle I is JK

side opposite to angle K is IJ

side opposite to angle K of JKL triangle is JL.

side opposite to angle J of JKL triangle is LK.

side opposite to angle L is JK.

side opposite to angle J of IJK triangle is IK.

therefore required answer is

JK , IJ , JL , LK , JK , IK

Answer:

Step-by-step explanation:

4(-3)-7+2(-3)+4

 =-21

Base: 3 units

Height: 5 units

Area: 15 square units

         ([tex]A=b*h=3*5=15[/tex])

hope this helps :)

Step-by-step explanation:

v8yviyc8yv9yv8yv8yviyv8yv8v6

Answer:

Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).

Answer:

I do not agree

Step-by-step explanation:

because in multiply negatives, the 2 negatives turn into a positive or multiplying positive and negative (and vice versa) becomes a negative still so the rules of multiplying and dividing are not alike integers. (For dividing it is the same!)

Answer:

$1200

Step-by-step explanation:

S + C = 1200

S = C + 900

C + 900 + C = 1200

2C + 900 = 1200

2C = 300

C = 150

The chair costs $150. The sofa is $1050.

Together they cost $1200.

Answer:

3/8 pounds is greater than 1/4 pounds

Step-by-step explanation:

Turn 1/4 to 2/8 by multiplying the top and bottom by 2

Compare

3/8>2/8

Answer: raw data

Step-by-step explanation:

Raw data, is also referred to as the primary data, and it refers to the data that's collected from a source. It is a day that is yet to be processed. e.g the raw scores during examination can be considered to be raw data since it hasn't been processed yet to get further information.

Therefore, if the numbers collected from a survey are measurements, then the measurements before any calculation is performed is called raw data.

Answer:

The total amount is 384

Step-by-step explanation:

Let m = the amount of money

5/8 of the money is 240

5/8 * m = 240

Multiply each side by 8/5

8/5 * 5/8 * m = 8/5 * 240

m =384

The total amount is 384

Answer:

Jayden earns $ 9.25 per hour.

Step-by-step explanation:

Time                 Earnings

  8                      74

  1                       x

[tex]\frac{8}{1} = \frac{74}{x}\\\\8 \times x = 74 \times 1\\\\x = \frac{74}{8} = \$ 9.25[/tex]

Answer:

9.25

Step-by-step explanation:

He earned 9.25 money per hour because you divide 74/8 and it will give you 9.25. If you wanna double-check you can multiply 9.25 times 8 and you'll get 74.

Answer:

Step-by-step explanation:

the number 2 is in the ones place

its a pretty easy answer

Answer:

m∠1 =  81

m∠2 =  99

Step-by-step explanation:

The angles are supplemaentary and therefor sum to 180

3x + (x + 72) = 180

4x + 72 = 180

4x = 108

x = 27

m∠1 = 3x

m∠1 = 27(3)

m∠1 =  81

m∠2 = x + 72

m∠2 = 27 + 72

m∠2 =  99

Answer:

E. p - 7 + 7 = 22 + 7

Step-by-step explanation:

p - 7 + 7 = 22 + 7 ( -7 + 7 = 0)

p = 22 + 7

p - 7 = 22//

Answer:

Pr(B) = 0.69

Pr(J/B) = 0.35

Pr(J∩B) = 0.14

Pr(G/J') = 0.66

Pr(G) = 0.31

Step-by-step explanation:

Applying,

Pr = possible outcome (a)/Total outcome(t)

(1) Pr(B) = a/t............ Equation 1

From the diagram

Given: a = 220+65+35 = 320, t = 220+65+35+145 = 465

Substitute these values into equation 1

Pr(B) = 320/465

Pr(B) = 0.69

(2) Pr(J/B) = (35+65)/(220+65)

Pr(J/B) = 100/285

Pr(J/B) = 0.35

(3) Pr(J∩B) = 65/465

Pr(J∩B) = 0.14

(4) Pr(G/J') = 145/220

Pr(G/J') = 0.66

(5) Pr(G) = 145/465

Pr(G) = 0.31

Given:

Angle IHG formed by two rays.

To find:

The rays that form the sides of ∠IHG.

Solution:

From the given diagram it is clear that the initial point of both rays is point H.

First ray passes through the point I with initial point H, so the name of first ray is [tex]\overrightarrow{HI}[/tex].

Second ray passes through the point G with initial point H, so the name of second ray is [tex]\overrightarrow{HG}[/tex].

The rays [tex]\overrightarrow{HI}[/tex] and [tex]\overrightarrow{HG}[/tex] form the sides of ∠IHG.

Therefore, the correct options are E and F.

Answer:

f(-10) = 186

Step-by-step explanation:

Sub in -10 to the x - values:

f(x) = 2[tex]x^{2}[/tex] + [tex]x[/tex] - 4

f(-10) = 2(-10)^2 - 10 - 4

f(-10) = 200 - 10 - 4

f(-10) = 186

Answer:

$41.75

Step-by-step explanation:

$251-84=167

167 divided by 4 is $41.75

Hope this helps! :)

Answer:

85%

Step-by-step explanation:

To get the percentage of the number of questions Jamie answered, divide 68 by 80 to get 0.85, which is 85% in decimal form.

9514 1404 393

Answer:

Step-by-step explanation:

The acute angles in a right triangle are complementary:

  2x° +(x -6)° = 90°

  3x = 96 . . . . . . . . . divide by °, add 6

  x = 32 . . . . . . . . . divide by 3

  (x-6)° = (32 -6)° = 26°

  2x° = 2(32)° = 64°

The acute angles have measures 26° and 64°.

Answer:

yes

Step-by-step explanation:

the packs are fighting for a common goal against each other

so they are competing

Answer:

Step-by-step explanation:

b,e

Answer:

133 - x = 180

x= 47

142 - y = 180

y = 38

x + y = n

47 + 38 = 85

Answer: b = 100

Step-by-step explanation:

simplifying

2.02b + 4.30 = 2.00b + 6.30

reorder the terms:

4.30 + 2.02b = 2.00b + 6.30

reorder the terms:

4.30 + 2.02b = 6.30 + 2.00b

solving

4.30 + 2.02b = 6.30 + 2.00b

solving for variable 'b'.

move all terms containing b to the left, all other terms to the right.

add '-2.00b' to each side of the equation.

4.30 + 2.02b + -2.00b = 6.30 + 2.00b + -2.00b

combine like terms: 2.02b + -2.00b = 0.02b

4.30 + 0.02b = 6.30 + 2.00b + -2.00b

combine like terms: 2.00b + -2.00b = 0.00

4.30 + 0.02b = 6.30 + 0.00

4.30 + 0.02b = 6.30

add '-4.30' to each side of the equation.

4.30 + -4.30 + 0.02b = 6.30 + -4.30

combine like terms: 4.30 + -4.30 = 0.00

0.00 + 0.02b = 6.30 + -4.30

0.02b = 6.30 + -4.30

combine like terms: 6.30 + -4.30 = 2

0.02b = 2

divide each side by '0.02'.

getting:  b = 100

Answer: 1.302

Step-by-step explanation:

The sample used was 43 retirees, so n=43. To find the degrees of freedom:

df=n−1=43−1=42

The confidence level is given in the scenario: 80%. So,

α=1−CL=1−0.8=0.2

But we want to use the value for α2, which is 0.22=0.1. Using the table, we need to find the row for 42 degrees of freedom, and the column for t0.1. So, the t-score we would use to find the 80% confidence interval is 1.302.

We could also use a calculator and input 1−α2=0.9 and the degrees of freedom into invT, in which case we would enter invT(0.9,42).

The solution is: 1.302, is the t-score should be used to find a 80% confidence interval estimate for the population mean

A confidence interval is a range of values, derived from a sample of data, that is likely to contain an unknown population parameter with a certain level of confidence.

here, we have,

The sample used was 43 retirees, so n=43.

To find the degrees of freedom:

df=n−1=43−1=42

The confidence level is given in the scenario: 80%. So,

α=1−CL=1−0.8=0.2

But we want to use the value for α2, which is 0.22=0.1. Using the table, we need to find the row for 42 degrees of freedom, and the column for t0.1. So, the t-score we would use to find the 80% confidence interval is 1.302.

We could also use a calculator and input 1−α2=0.9 and the degrees of freedom into invT, in which case we would enter invT(0.9,42).

Hence, The solution is: 1.302, is the t-score should be used to find a 80% confidence interval estimate for the population mean

To learn more about the confidence interval, visit:

brainly.com/question/17097944

#SPJ2

Answer:

hear is your required answer

Answer:

please see the image given above. hope this helps

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]

[tex]\frac{-9p^{-5}(-7)r^{-7}(-4)p^{-4}}{4p^{-10}3p^{10}4p^{-2}}=\frac{(-9)*(-7)-(-4)*r^{-7}*p^{-5+(-4)}}{4*3*4*p^{-10+10+(-2)}}\\\\=\frac{(-3)*(-7)*(-1)r^{-7}p^{-9}}{1*1*4*p^{-2}}\\\\=\frac{(-21)r^{-7}p^{-9 - (-2)}}{4}\\\\=\frac{-21r^{-7}p^{-9+2}}{4}\\\\=\frac{(-21)r^{-7}p^{-7}}{4}[/tex]