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Oduvanchick [21]

2 years ago

7

Samantha is buying an ice-cream sundae. There are 3 sizes of sundaes, 11 different ice cream flavors, and 4 different toppings.

How many ways can Samantha choose a sundae

1 answer:

RUDIKE [14]2 years ago

4 0

Answer: 132

Step-by-step explanation:

There are three different things to choose from: size, flavors, and toppings

3 kinds of sizes x 11 kinds of flavors x 4 kinds of toppings

= 3x11x4

= 12x11

= 132

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Walking path across the park is represented by the equation Y equals negative 2X -7. A new path will be built perpendicular to t

Genrish500 [490]

here the equation of path is -2x-7=y

let us find slope of this line by using y=mx+b

so slope m=-2

now new path is perpendicular to this path.

product of slopes of perpendiculars is -1

so slope of new path is 1/2

now it passes through (-2,-3) with slope 1/2

using y=mx+b to get value of b

-3=1/2(-2) +b

b=-2

plugging m=-1/2 and b=-2 in y=mx + b to get the final equation as

y=(-1/2) x -2 is the equation of new path

5 0

2 years ago

Which expression is equivalent to (81x4y16)12 for all positive values of x and y?<br> 40.5x4y16

IrinaVladis [17]

Answer:

$(81x^4y^{16})^{\frac{1}{2}} = 9 x^2 y^8$

Step-by-step explanation:

Given

$(81x^4y^{16})^{\frac{1}{2}}$

Required

Determine an equivalent expression

Express 81 as $9^2$

$(9^2x^4y^{16})^{\frac{1}{2}}$

Apply law of indices

$9^2^{\frac{1}{2}} * x^4^{\frac{1}{2}} * y^{16}^{\frac{1}{2}}$

$9^{\frac{2*1}{2}} * x^{\frac{4*1}{2}} * y^{\frac{16*1}{2}}$

$9^{\frac{2}{2}} * x^{\frac{4}{2}} * y^{\frac{16}{2}}$

$9^1 * x^2 * y^8$

$9 * x^2 * y^8$

$9 x^2 y^8$

Hence:

$(81x^4y^{16})^{\frac{1}{2}} = 9 x^2 y^8$

4 0

2 years ago

In a randomly selected sample of 1169 men ages 35–44, the mean total cholesterol level was 210 milligrams per deciliter with a s

Aneli [31]

Answer:

The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.

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:

$\mu = 210, \sigma = 38.6$

Find the highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10%.

This is the 10th percentile, which is X when Z has a pvalue of 0.1. So X when Z = -1.28.

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

$-1.28 = \frac{X - 210}{38.6}$

$X - 210 = -1.28*38.6$

$X = 160.59$

The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.

5 0

3 years ago

In triangle ACD, what is the value of X:<br> who ever show works gets brainly.

Keith_Richards [23]

Answer:

x = 7.5

Step-by-step explanation:

Given that BE is parallel to CD and intersects the 2 other sides, then it divides the 2 sides in proportion, that is

$\frac{AB}{BC}$ = $\frac{AE}{ED}$ , substitute values

$\frac{x}{6}$ = $\frac{10}{8}$ ( cross- multiply )

8x = 60 ( divide both sides by 8 )

x = 7.5

6 0

3 years ago

4. Orville and Wilbur Wright made the first airplane flights in

hichkok12 [17]

Step-by-step explanation:

Represent Wilbur with W and Orville with O

The equation connecting both flights is

W - 120 = O

W = 364 feet

364 - 120 = 246

O = 246

7 0

3 years ago