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2 years ago

Find the measure of angle 1 HELP

Mathematics

1 answer:

Naily [24]2 years ago

6 0

Answer:

75°

Step-by-step explanation:

The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then

∠ 1 = $\frac{1}{2}$ (110 + 40)° = 0.5 × 150° = 75°

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For women aged 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg and a standard deviation of

NNADVOKAT [17]

Answer:

0.0579 is the probability that mean systolic blood pressure is between 119 and 122 mm Hg for the sample.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 114.8 mm Hg

Standard Deviation, σ = 13.1 mm Hg

Sample size = 23

We are given that the distribution of systolic blood pressures is a bell shaped distribution that is a normal distribution.

Formula:

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

Standard error due to sampling:

$\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{13.1}{\sqrt{23}} = 2.731$

P(blood pressure is between 119 and 122 mm Hg)

$P(119 \leq x \leq 122) = P(\displaystyle\frac{119 - 114.8}{2.731} \leq z \leq \displaystyle\frac{122-114.8}{2.731}) = P(1.537 \leq z \leq 2.636)\\\\= P(z \leq 2.636) - P(z < 1.537)\\= 0.9958 - 0.9379 = 0.0579= 5.79\%$

$P(119 \leq x \leq 122) = 5.79\%$

0.0579 is the probability that mean systolic blood pressure is between 119 and 122 mm Hg for the sample.

8 0

2 years ago

"Let x = any negative rational number. Which statements are true?" This is a question asked from a relative, not an assignment.

timofeeve [1]

Answer: A,B and d

Cause i have a brain

3 0

2 years ago

A triangle was dilated by a scale factor of 6. If sin aº

Pavlova-9 [17]

Answer:

24 units

Step-by-step explanation:

A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?

triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees

15.5 units

24 units

30 units

37.5 units

From the description:

angle D measures a degrees

opposite to angle D is side EF

side DE (which measures 30 units) is the hypotenuse of the triangle.

We also know that

$\sin (a) = \frac{4}{5}$

$\sin (a) = \frac{opposite}{hypotenuse}$

From definition:

$\sin (a) = \frac{opposite}{hypotenuse}$

Replacing:

$\frac{4}{5} =\frac{ EF}{DE} \\\\EF = \frac{4}{5} *DE\\\\EF = \frac{4}{5} *30 \\\\= 24 units$

8 0

3 years ago

. Three types of shirts sold at a store cost $9.00, $11.00, and $12.50. One day, the store sells a total of 23 shirts and makes

lbvjy [14]

Answer:

X + 3y = 23

9x + 36y = 243

11 shirts sold at $9.0 per shirt, 4 shirts sold at $11 per shirt and 8 shirts sold at $12.5 per shirt

Step-by-step explanation:

-----Since we are told to assume that the number of shirts sold for $9.00 each is x, that of $11.00 is y and also that of $12.50 is z.

9x + 11y + 12.5z = 243

9x + 11y + 12.5(2y) = 243

9x + 36y = 243_______ equation 1

----- The statement also read that One day, the store sells a total of 23 shirts and makes $243 on the sales. TWICE AS MANY SHIRTS WERE SOLD FOR $12.50 THAN WERE SOLD FOR $11.00

Z = 2y

x + y + z = 23

X + y + 2y = 23

X + 3y = 23_____ equation 2

Now multiply the above by 9 to have this equation's "x" sharing the same coefficient with that of equation 1

9x + 27 = 207 will be the new one___equation 3

-----Subtract equation 3 from 1 and we have

9x + 36y = 243____ equation 1

9x + 27y = 207____ equation 3

9y = 36

Y = 4

-----Substitute y = 4 in equation 2

X + 3y = 23

X + 4(3) = 23

X + 12 = 23

X = 23 - 12

X = 11

-----Remember that x + y + z = 23

11 + 4 + z = 23

15 + z = 23

Z = 23 - 15

Z = 8.

So therefore, x =11 shirts, y = 4 shirts and z = 8 shirts

4 0

2 years ago

ary Stevens earns $6 an hour at her job and is entitled to time-and-a-half for overtime and double time on holidays. Last week s

Serggg [28]

The answer is D 394.50

6 0

3 years ago