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3 years ago

The equation y = 3.5x represents the rate, in miles

Mathematics

2 answers:

Solnce55 [7]3 years ago

7 0

Answer:

Piyush walks faster than Laura

Step-by-step explanation:

Piyush walks faster than Laura

avanturin [10]3 years ago

5 0

Answer:

Piyush walks faster than Laura

Step-by-step explanation:

we know that

The rate or speed is equal to the slope of the linear equation

Laura

y=3.5x

The slope is $3.5\ \frac{mi}{h}$

Piyush

Determine the slope of the line

we have the points

(0,0) and (4,18)

The line represent a direct variation (because passes through the origin)

$m=\frac{y}{x}$

For x=4 h, y=18 mi

substitute

$m=\frac{18}{4}=4.5\ \frac{mi}{h}$

Compare the slopes

$4.5\ \frac{mi}{h} > 3.5\ \frac{mi}{h}$

therefore

Piyush walks faster than Laura

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Quick brain for first and 5 stars What steps should be taken to calculate the volume of the right triangular prism? Select three

Ierofanga [76]

Answer:

- Use the formula A = one-half b h to find the area of the base.

- The area of the base, A, is One-half (8) (14) = 56 meters squared.

- The volume of the prism, V is (56) (7) = 392 meters cubed

Step-by-step explanation:

To find the volume of right triangular prism, the following steps should be followed:

The formula bfor calculating the volume = Base Area × Height.

Step 1:

- Use the formula A = one-half b h to find the area of the base.

This formula of a triangle bus used because the base of a triangular prism is triangular in nature.

b is the base of the triangle

h is the height of the triangle

Step 2:

Given base if triangle = 8m

Height of triangle = 14m

We substitute this values into the formula of the base area to have the second step:

Base area = 1/2(8)(14) = 56m²

- The area of the base, A, is One-half (8) (14) = 56 meters squared.

Step 3:

Then we calculate the volume if the prism where height of the prism is 8m

volume of the prism = 56 × 7

= 392m³.

This gives us the final step

- The volume of the prism, V is (56) (7) = 392 meters cubed

8 0

3 years ago

Read 2 more answers

What is 2.23 as a fraction

Bezzdna [24]

2.23 as a fraction would be 2 and 23/100. Since the "3" is in the hundredths place, the fraction has to be over 100. The 2 in front of the decimal point (.) is the whole number. That means 2.23 as a fraction would be 2 and 23/100.

5 0

3 years ago

Read 2 more answers

Can someone please help me with this question?

Vanyuwa [196]

Answer:

5 seconds

Step-by-step explanation:

In 5 seconds it will be at 98 meters

x = -b/2a

x = -20/2(-2) = -20/-4 = 5

8 0

2 years ago

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e

marusya05 [52]

Answer:

The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

$\hat p =\frac{955-812}{955}= 0.150$

$0.150 - 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.131$

$0.150 + 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.169$

And the 90% confidence interval would be given (0.131;0.169).

Step-by-step explanation:

We have the following info given:

$n= 955$ represent the sampel size slected

$x = 812$ number of students who read above the eighth grade level

The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

$\hat p =\frac{955-812}{955}= 0.150$

The confidence interval for the proportion would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 90% confidence interval the significance is $\alpha=1-0.9=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the normal standard distribution and we got.