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Natasha_Volkova [10]
3 years ago
10

Last year, 800 people attended the annual Christmas parade in Whoville. This year, 1,000

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
5 0
20% increase in the amount of people
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What is the image point of (0,1) after the transformation D4 R90?<br> Please and thank you
Ede4ka [16]

Answer:

Image point → (-4, 0)

Step-by-step explanation:

Coordinate of a point → (0, 1)

Rule for the transformation has been given as,

D₄ o R₉₀

First use R₉₀ → Rotation of the point by 90° counterclockwise

Rule for the rotation of a point (x, y) by 90° counterclockwise about the origin,

(x, y) → (-y, x)

(0, 1) → (-1, 0)

Further use D₄ → Dilation of the point by a scale factor of 4 about the origin

If a point (x, y) is dilated by a scale factor 'k' about the origin rule for the dilation is,

(x, y) → (kx, ky)

By applying this rule,

(-1, 0) → (-4, 0)

Therefore, image point will be → (-4, 0)

5 0
3 years ago
Find the missing value to the nearest hundredth. sin ___ = 7/12 (1 point) 35.69° 30.26° 80.16° 54.31°
Alisiya [41]
In your calculator, input arcsin(7/12). Make sure that your calculator is in degree mode. The answer is 35.69 degrees.
3 0
4 years ago
What does the line x=-5 look like
Slav-nsk [51]
A vertical line that passes through (-5,0)
6 0
3 years ago
Read 2 more answers
What is the end behavior of <br> A(x)=(x+3)(x-4)(3x-7)(4x-3)
OleMash [197]

Answer:

Step-by-step explanation:

Since the highest power is x^4, y increases without bound as x approaches positive or negative infinity. So the end behavior is positive infinity.

7 0
3 years ago
(1 point) The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with a mean of 12
garik1379 [7]

Answer:

a) Z = -2.7

b) Z = 2.3

c) Kyle's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.

d) X = 144.5

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 127, \sigma = 10

(a) 100 millimeters z-score =

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

Z = \frac{100 - 127}{10}

Z = -2.7

(b) 150 millimeters z-score =

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

Z = \frac{150 - 127}{10}

Z = 2.3

(c) Kyle's doctor told him that the z-score for his systolic blood pressure is 1.75. Which of the following is the best interpretation of his score?

1.75 standard deviations above the mean systolic blood pressure of males.

The problem does not talk about age.

So the answer is:

Kyle's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.

d) Calculate Kyle's blood pressure

This is X when Z = 1.75. So

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

1.75 = \frac{X - 127}{10}

X - 127 = 1.75*10

X = 144.5

7 0
4 years ago
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