Polly has 6 cookies Kate takes away 4 how many cookies does Polly have left

At the halftime show, a marching band marched in formation. The lead drummer started at a point with coordinates (-2, -5) and mo

creativ13 [48]

Answer:

Part a) The rule of the translation is (x,y) -----> (x+1,y+3)

Part b) The coordinates of the drummer's final position are (-1,-2)

Step-by-step explanation:

Part a) Write a rule to describe the translation

we know that

The lead drummer moved 3 steps up and 1 step right.

so

3 steps up ----> that means (y+3)

1 step right ---> that means (x+1)

The rule of the translation is equal to

(x,y) -----> (x+1,y+3)

Part b) What were the coordinates of the drummer's final position?

we know that

The drummer's initial position is the point (-2,-5)

Applying the rule of the translation

(x,y) -----> (x+1,y+3)

(-2,-5) -----> (-2+1,-5+3)

(-2,-5) -----> (-1,-2)

therefore

The coordinates of the drummer's final position are (-1,-2)

5 0

4 years ago

Doss [256]

Answer:

The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.

Step-by-step explanation:

When the distribution is normal, we use 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.

A study suggested that children between the ages of 6 and 11 in the US have an average weightof 74 lbs, with a standard deviation of 2.7 lbs.

This means that $\mu = 74, \sigma = 2.7$

What proportion of childrenin this age range between 70 lbs and 85 lbs.

This is the pvalue of Z when X = 85 subtracted by the pvalue of Z when X = 70. So

X = 85

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

$Z = \frac{85 - 74}{2.7}$

$Z = 4.07$

$Z = 4.07$ has a pvalue of 1

X = 70

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

$Z = \frac{70 - 74}{2.7}$

$Z = -1.48$

$Z = -1.48$ has a pvalue of 0.0694

1 - 0.0694 = 0.9306

The proportion of children in this age range between 70 lbs and 85 lbs is of 0.9306.

7 0

2 years ago

Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theore

velikii [3]

Answer:

RS/VU=ST/UT and ∠S≅∠U

Step-by-step explanation:

we know that

The <u>Side-Angle-Side Similarity Theorem </u>states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar

In this problem the included angle is

∠S≅∠U

therefore

side RS must be proportional to side VU and side ST must be proportional to side UT

so

RS/VU=ST/UT

<em>Verify</em>

substitute the given values

12/6=16/8

2=2 -----> is true

therefore

The two sides are proportional