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4 years ago

12

I need some help with this

1 answer:

velikii [3]4 years ago

8 0

The image shown is 3 units high and 4 units wide. The dilated image will be 3/4 units high and 4/4 = 1 unit wide. The area of the image will be
A = (1/2)bh
A = (1/2)(1)(3/4) = 3/8 . . . . square units

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A study of drive-thru wait times for fast-food restaurants found that the average time spent Wendy's drive-thru was 138.5 second

OlgaM077 [116]

Answer:

207.72 seconds.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean waiting time of 138.5 seconds, standard deviation of 29 seconds.

This means that $\mu = 138.5, \sigma = 29$

The length of time the owner should choose so that only 0.75% of customers get a free Frosty i.e. only 0.75% wait longer than

The 100 - 0.75 = 99.15th percentile, which is X when Z has a pvalue of 0.9915, so X when Z = 2.387.

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

$2.387 = \frac{X - 138.5}{29}$

$X - 138.5 = 2.387*29$

$X = 207.72$

So the answer is 207.72 seconds.

6 0

3 years ago

The length of a ribbon is 3/4 meter. Sun Yi needs piece measuring 1/3 meter for an art project. What is the greatest number of P

Kaylis [27]

3/4 divided by 1/3 = 3/4 * 3/1 = 9/4 = 2 1/4 <-------reason

Sun Yi can cut out 2 pieces.

Sun Yi will have 1/4 left.

6 0

3 years ago

Whats 3/8 ÷ 11/12 ??

xenn [34]

9/22. here’s my work in case you need it

8 0

3 years ago

Read 2 more answers

In right triangle LMN, L and M are complementary angles and sin(L) is 19/20. What is cos(M).

Juliette [100K]

Option A:

$$\cos M=\frac{19}{20}$

Solution:

The image of the triangle is attached below.

Given data:

$$\sin L=\frac{19}{20}$

Using trigonometric ratio formulas,

$$\sin L=\frac{\text { Opposite side of } L}{\text { Hypotenuse }}$

$$\sin L=\frac{MN}{LM}$

So, MN = 19 and LM = 20

Using Pythagoras theorem,

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

$LM^2=LN^2+MN^2$

$20^2=LN^2+19^2$

$400=LN^2+361$

Subtract 361 from both sides,

39 = LN²

Taking square root on both sides,

$LN=\sqrt{39}$

$$\cos \theta=\frac{\text { Adjacent side of } \theta}{\text { Hypotenuse }}$

$$\cos M=\frac{\text { Adjacent side of } M}{\text { Hypotenuse }}$

$$\cos M=\frac{MN}{LM}$

$$\cos M=\frac{19}{20}$

Hence option A is the correct answer.

7 0

4 years ago

I need helppp soo like yeah

Verizon [17]

Answer:

x = 30°

Step-by-step explanation:

Since 2 of the sides are congruent then the triangle is isosceles and the 2 base angles are congruent, both 75°

The sum of the 3 angles in a triangle = 180°, then

x = 180° - (75 + 75)° = 180° - 150° = 30°

5 0

3 years ago