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gulaghasi [49]
3 years ago
10

Short Answer Note: Your teacher will grade your responses to questions 4-8 to ensure you receive proper credit for your answers.

4. Find the value of k. The diagram is not to scale. (I point) I need the answer as soon as possible
​

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
8 0
Answer : K = 73°

This question is asking us to find the value of a missing angle. To solve this question you need to know that all triangles have the complete value of 180°.

So to find the missing angle, let’s add the two given angles together.

62 + 45 = 107


And to find K, subtract 180 - 107.

73 is your answer.
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The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3408 miles, with a variance
Murrr4er [49]

Answer:

The probability that the mean of a sample of 36 cars would be less than 3245 miles

P(X⁻≤3245) = 0.975

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

The mean number of miles between services

                   μ= 3408 miles  

The Variance of miles between services

                σ² = 249,001

                σ = √249,001 = 499

Let 'X' be a random variable in a normal distribution

Given sample size 'n' =36

<u><em>Step(ii):</em></u>-

           Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }

          Z = -163/83.16 = 1.96

The probability that the mean of a sample of 36 cars would be less than 3245 miles

P(X⁻≤3245)  =   P(Z≤1.96)

                   =   0.5 + A(1.96)

                   =  0.5 + 0.4750

                  =   0.975

<u><em>Final answer</em></u>:-

The probability that the mean of a sample of 36 cars would be less than 3245 miles

P(X⁻≤3245) =0.975

           

         

         

6 0
3 years ago
Which number multiplied with 4 makes a product that is greater than 4?
Katena32 [7]

Answer:

Any number really are there any pacific numbers

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the slope of the line?
Scorpion4ik [409]

Answer:

Slope is technically 1, because it implies that it's going up one and over to the right one. Also in slope-intercept form it would look like this

y = x + 1.

Step-by-step explanation:

Hope this makes sense :)

4 0
3 years ago
Tengo 5 cubos de colores. Uno rojo, uno amarillo, uno verde, uno azul claro y uno azul oscuro. ¿De cuántas formas puedo organiza
rusak2 [61]

Answer:

72 formas

Step-by-step explanation:

Primero vamos a calcular de cuántas formas se puede organizar los 5 cubos en una columna utilizando la regla de la multiplicación:

5 * 4 * 3 * 2 * 1 = 120

Porque tenemos 5 cubos para poner en la base de la columna, luego 4 cubos para la segunda posición de la columna, luego 3 cubos y así hasta organizar todos los cubos.

Luego vamos a calcular de cuántas formas podemos organizar los 5 cubos de tal forma que los cubos azules se toquen entre sí. Para esto vamos a contar los dos cubos azules como si fueran uno solo, es decir, sólo tendríamos "4 cubos" y podríamos organizar los cubos de 24 formas distintas:

4 * 3 * 2 * 1 = 24

Por otro lado, los 2 cubos azules pueden ser organizados de dos formas diferentes: primero el claro y luego el oscuro o primero el oscuro y luego el claro.

Es decir que hay 24 formas distintas de organizar los cubos en donde primero va el claro y luego el oscuro y hay 24 formas de organizar los cubos en donde primero va el oscuro y luego el claro.

Esto significa que de las 120 formas de organizar los 5 cubos, 48 formas tienen los cubos azules juntos y en 72 (120-48) formas los dos cubos azules no se tocan entre sí.

7 0
3 years ago
Work out the area of this shape. ? cm2<br><br> 4 cm<br> 9 cm<br> 6 cm<br> 12 cm<br><br> Help!!!
mars1129 [50]

Answer:

84 cm^2

Step-by-step explanation:

Area of triangle + area of rectangle

Area of triangle = 1/2*l*b

= 1/2*8*3= 12 cm^2

Area of rectangle = l*b

= 12*6 = 72 cm^2

Total area= 72+12

= 84 cm^2

7 0
3 years ago
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