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3 years ago

What are the values of a and b

Mathematics

1 answer:

dimulka [17.4K]3 years ago

6 0

Answer:
A= 73 degrees
B= 34 degrees

Explanation:
Through the diagram, it is given that QP is a straight line. By supplementary angles(meaning in straight lines of 180 degrees, the angles must add to 180), angle a plus 107 degrees must equal 180 degrees. So:
a+107=180
a= 73
Next, angles RQP and RPQ are congruent because of the sides are congruent, the angles must be congruent. All angles of a triangle must equal 180 degrees. Given the previous, 2a+b=180. Plug a in and solve for b:
2(73)+b=180
146+b=180
b= 34
In conclusion, A= 73 degrees and B=34

** please check my math as I do not have a calculator with me lol

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A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose pe

soldier1979 [14.2K]

Using the normal distribution, it is found that:

a) 0.8599 = 85.99% probability that x is more than 60.

b) 0.1788 = 17.88% probability that x is less than 110.

c) 0.6811 = 68.11% probability that x is between 60 and 110.

d) 0.0643 = 6.43% probability that x is greater than 125.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.
After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of 87, thus $\mu = 87$ .
The standard deviation is of 25, thus $\sigma = 25$ .

Item a:

This probability is <u>1 subtracted by the p-value of Z when X = 60</u>, thus:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{60 - 87}{25}$

$Z = -1.08$

$Z = -1.08$ has a p-value of 0.1401.

1 - 0.1401 = 0.8599

0.8599 = 85.99% probability that x is more than 60.

Item b:

This probability is the <u>p-value of Z when X = 110</u>, thus:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{110 - 87}{25}$

$Z = 0.92$

$Z = 0.92$ has a p-value of 0.8212.

1 - 0.8212 = 0.1788.

0.1788 = 17.88% probability that x is less than 110.

Item c:

This probability is the <u>p-value of Z when X = 110 subtracted by the p-value of Z when X = 60</u>.

From the previous two items, 0.8212 - 0.1401 = 0.6811.

0.6811 = 68.11% probability that x is between 60 and 110.

Item d:

This probability is <u>1 subtracted by the p-value of Z when X = 125</u>, thus:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{125 - 87}{25}$

$Z = 1.52$

$Z = 1.52$ has a p-value of 0.9357.

1 - 0.9357 = 0.0643.

0.0643 = 6.43% probability that x is greater than 125.

A similar problem is given at brainly.com/question/24863330

7 0

3 years ago

What is the slope of y = - x + 7

svet-max [94.6K]

$\green{\huge{\red{\boxed{\green{\mathfrak{QUESTION}}}}}}$

What is the slope of y = - x + 7

$\red{ \bold{ \textit{STANDARD \: EQUATION}}}$

$y = mx + c$

$WHERE \\ m = SLOPE \\ c = Y - INTERCEPT$

$\huge\green{\boxed{\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}}}$

$\blue{A.T.Q}$

$y = mx + c \sim y = ( - 1)x + 7$

$\orange{SO}$

m= (-1)

which is equal to the slope of the equation .

$\red \star{Thanks \: And \: Brainlist} \blue\star \\ \green\star If \: U \: Liked \: My \: Answer \purple \star$

3 0

3 years ago

^^ question above! Thanks!

Aleksandr [31]

You can cross multiply and the answer would be 100/9
9/10=10/k
100=9k
k=100/9

7 0

3 years ago

Yvonne is solving the quadratic equation 6x2 + 24x + 7 = 0 by completing the square. Her first four steps are shown in the table

vladimir1956 [14]

The step in which Yvonne first makes an error while solving the quadratic equation by completing the square in step 1.

<h3>What is a quadratic equation?</h3>

A quadratic equation is an equation in which the highest power of the variable is two.

Yvonne is solving the quadratic equation, which is,

6x² +24x +7 =0

He is solving the above equation by completing the square.

The first step to solving this quadratic equation by completing the square is, Take the constant value 7 at the opposite side of the equation as,

6x² +24x = -7

Here, the number seven was a positive number, which we have changed to negative because this number brings the other side of the equation.

In the image attached below, the first step of the Yvonne while solving the equation by completing the square is,

6x² +24x = 7

Here, Yvonne does not change the sign of the number 7 while taking it to another side of the equation.

Hence, the step in which Yvonne first makes an error while solving the quadratic equation by completing the square is step 1.

The table is attached with the answer below

Learn more about the quadratic equation here;

brainly.com/question/17177510

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