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3 years ago

The sum of two consecutive integers is 89 what are the two integers

Mathematics

1 answer:

scoundrel [369]3 years ago

6 0

Answer:

44, 45

Step-by-step explanation:

The number halfway between them is their average: 89/2 = 44.5. The two integers are 44 and 45.

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A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a s

Umnica [9.8K]

Answer:

88.51 is the minimum score needed to receive a grade of A.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73

Standard Deviation, σ = 11

We are given that the distribution of exam grades is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.0793.

$P( X \geq x) = P( z \geq \displaystyle\frac{x - 73}{11})=0.0793$

$= 1 -P( z \leq \displaystyle\frac{x - 73}{11})=0.0793$

$=P( z \leq \displaystyle\frac{x - 73}{11})=0.9207$

Calculation the value from standard normal z table, we have,

$P(z \leq 1.410) = 0.9207$

$\displaystyle\frac{x - 73}{11} = 1.410\\x =88.51$

Hence, 88.51 is the minimum score needed to receive a grade of A.

3 0

3 years ago

Help me please help

solniwko [45]

Answer:

I think its c I'm not sure

4 0

3 years ago

Sofia made a scale drawing of a house. The scale she used was 1 millimeter : 6 meters. If the actual length of the garage is 12

romanna [79]

Answer:

2 millimeters.

Step-by-step explanation:

1 millimeter : 6 meters

x millimeters : 12 meters

x = (12÷6) × 1

x = 2×1

x = 2 millimeters

6 0

3 years ago

Jenna calculated several numbers in her calculator.The results display-1.7E-4 on the calculator screen. Which equipment number(s

maw [93]

Answer:

A) -1.7 x 10^-4 D)-0.00017

Step-by-step explanation:

Since its negative in the base B and C wont work. The negative in the exponent means the decimal moves left which exclude E.

5 0

3 years ago

The measure of 5 of the interior angles of a hexagon are 110, 120, 90, 140, and 125. what is the measure of the smallest exterio

Romashka-Z-Leto [24]

Answer:

A) 40

Step-by-step explanation:

The sum of the interior angles of a regular polygon is:

$(n - 2) \times 180$

For a hexagon, we put n=6

$(6 - 2) \times 180 = 4 \times 180 = 720$

Let x be the 6th interior angle, then

$x + 110 + 120 + 90 + 140 + 125 = 720$

$x + 585 = 720$

$x = 720 - 585 = 135$

The largest interior angle is 140°

Therefore the least exterior angle will be:

$180 - 140 = 40$

The correct choice is A

7 0

3 years ago