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VMariaS [17]
3 years ago
14

Ashley started the year with 45 comic books. Each month , she adds 5 more comic books to her collection. Which table correctly r

epresents y , the number of comic books in her collection, after x months

Mathematics
2 answers:
katen-ka-za [31]3 years ago
8 0
The rule for this situation would be y = 45 + 5x
the only table that gives you the correct output of y when you plug x into the equation is the second table


hope this helped!
dybincka [34]3 years ago
7 0
Ashley starts with 45 comics. 

So in the first box: 
x  = 0, y = 45
-------------------------------------------------------------------------------------------------------
Each month, she adds 5 comic books to her collection

x (+1), y (+5) (for each month).

First month. 

x = 0
y = 45

Second month

x = 1
y = 45 (+5) = 50

Third month

x = 2
y = 50 (+5) = 55

etc.

-------------------------------------------------------------------------------------------------------

B) is your best choice, as for every month add (+1), the comic books increase by 5 respectively.

-------------------------------------------------------------------------------------------------------

hope this helps

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A composition of two isometries results in __________.
julia-pushkina [17]

Definition: A rigid transformation (also called an isometry) is a transformation of the plane that preserves length.


Four types of isometries:


1. Translation -- sliding a shape from one spot to another on the xy-plane;


2. Reflection -- creating a mirror image of a shape by reflecting a shape over a line, called the axis of reflection, on the xy-plane;


3. Rotation -- rotating a shape around a point, called the center of rotation, on the xy-plane;


4. Glide reflection -- a composite transformation which is a translation followed by a reflection in line parallel to the direction of translation.


Translations, reflections, and rotations don't change the shape or size of the shape being transformed, so we can see that these three types of transformations are isometric, the glide reflection doesn't change the shape or size of the shape being transformed, but changes orientation.


A composition or sequence of isometries occurs when two or more transformations are combined to form a new transformation. In a composition, one transformation produces an image upon which the other transformation is then performed (as for the glide reflection). The composition of isometries is always the isometry (preserves lengths).


Answer: correct choice is B.



7 0
3 years ago
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How to make 1.4 into a fraction
inessss [21]

As an improper fraction, the answer is 7/5.

As a mixed number, the answer is 1 2/5.

4 0
3 years ago
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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
3 years ago
the triangles below are congruent and their corresponding parts are marked. name all the corresponding congruent angles and side
GuDViN [60]

Answer:

See explanation

Step-by-step explanation:

The triangles below are congruent and their corresponding parts are marked.

a) Angles marked with one arc are congruent, so \angle B\cong \angle Z.

Angles marked with two arcs are congruent, so \angle A\cong \angle Y.

Angles marked with three arcs are congruent, so \angle C\cong \angle X.

b) Sides marked with one segment are congruent, so \overline {AC}\cong \overline {YX}.

Sides marked with two segments are congruent, so \overline {BC}\cong \overline {ZX}.

Sides marked with three segments are congruent, so \overline {AB}\cong \overline {YZ}.

c) Name teo congruent triangle following the congruence of angles:

\triangle BCA\cong \triangle ZXY

6 0
3 years ago
1. (5pt) In a recent New York City marathon, 25,221 men finished and 253 dropped out. Also,
gladu [14]

Answer:

(a) Explained below.

(b) The 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

Step-by-step explanation:

The information provided is:

n (Men who finished the marathon) = 25,221

n (Women who finished the marathon) = 12,883

Compute the proportion of men and women who finished the marathon as follows:

\hat p_{1}=\frac{25221}{25221 +253}=0.99\\\\\hat p_{2}=\frac{12883 }{12883+163}=0.988

The combined proportion is:

\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}\\\\=\frac{25221+12883}{38520}\\\\=0.989

(a)

The hypothesis is:

<em>H</em>₀: The rate of those who finish the marathon is the same for men and women, i.e. <em>p</em>₁ - <em>p</em>₂ = 0.

<em>Hₐ</em>: The rate of those who finish the marathon is not same for men and women, i.e. <em>p</em>₁ - <em>p</em>₂ ≠ 0.

Compute the test statistic as follows:

Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)\cdot [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}

   =\frac{0.99-0.988}{\sqrt{0.989(1-0.989)\times[\frac{1}{25474}+\frac{1}{13046}]}}\\\\=1.78

Compute the <em>p</em>-value as follows:

p-value=2\times P(Z>1.78)\\\\=2\times 0.03754\\\\=0.07508\\\\\approx 0.075

The <em>p</em>-value of the test is more than the significance level. The null hypothesis was failed to be rejected.

Thus, concluding that the rate of those who finish is the same for men and women.

(b)

Compute the 99% confidence interval for the difference between proportions as follows:

The critical value of <em>z</em> for 99% confidence level is 2.58.

CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}

     =(0.99-0.988)\pm 2.58\times\sqrt{\frac{0.99(1-0.99)}{25474}+\frac{0.988(1-0.988)}{13046}}\\\\=0.002\pm 0.00294\\\\=(-0.00094, 0.00494)\\\\

Thu, the 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

6 0
3 years ago
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