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3 years ago

Help 7.04 thanks for the help guys

Mathematics

2 answers:

igor_vitrenko [27]3 years ago

6 0

Answer:

The speed of the insect is 2700 yard/hour

Step-by-step explanation:

∵ 1 foot = 1/3 yard

∵ 1 hour = 60 minutes

∴ 15 feet = 1/3 × yard ⇒ yard = 15 × 3 = 45 yards

∴ 1 minute = 1/60 hour

∵ The insect speed = 15 feet / min

∴ The insect speed = 45 ÷ 1/60 = 2700 yard /hour

lozanna [386]3 years ago

4 0

<u>Answer:</u>

he correct answer option is 300 yd/h.

<u>Step-by-step explanation:</u>

We are given that an insect is moving at a speed of 15 feet per minute and we are to covert this unit of speed into yards per hour.

For that, we will use this unit multiplier: $\frac{1 yard}{3feet}$ × $\frac{60 min}{1 hr}$

$15\frac{feet}{min}$ × $\frac{1 yard}{3feet}$ × $\frac{60 min}{1 hr}$

$15$ × $\frac{1*60yard}{3*1hour}$

$300\frac{yard}{hour}$

Therefore, the correct answer option is 300 yard/hour.

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How much does 5 pounds for $2.49 equal

Serga [27]

The question is saying that if you buy 5 lbs, you have to pay $2.49. That means that 1 lb is $2.49/5 which (rounded to the nearest cent) is $0.50

7 0

3 years ago

10 lemons cost £1. 20 find the cost for 4

Kryger [21]

0.48p

Step-by-step explanation:

1.20÷10=0.12

0.12×4=0.48

7 0

2 years ago

Read 2 more answers

Evaluate each trigonometric equation for θ.

liberstina [14]

Answer:

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

Step-by-step explanation:

Let us revise the trigonometry functions

Sin(x) = opposite/hypotenuse

Cos(x) = adjacent/hypoteouse

Tan(x) = opposite/adjacent

Csc(x) = hypotenuse/opposit

Sec(x) = hypotenues/adjacent

Cot(x) = adjacent/opposite

In the given figure

The opposite side to angle Ф = 8

The adjacent side to angle Ф = 15

Find the hypotenuse using Pythagoras' theorem

$Hypotenuse = \sqrt{8^{2}+15^{2} }$

$Hypotenuse = \sqrt{64+225}$

$Hypotenuse = \sqrt{289}$

$Hypotenuse = 17$

Let us use the rules above to find the trigonometry functions

sinФ = 8/17

cosФ = 15/17

tan Ф = 8/15

csc Ф = 17/8

sec Ф = 17/15

cot Ф = 15/8

4 0

3 years ago

A test is worth 50 points. Multiple- choice questions are worth 1 point, and short answer questions are worth 3 points. if the t

bagirrra123 [75]

Correct answer is C.
m + 3s = 50
the total number of questions is 20. since the paper is made of only multiple choice and short answer questions, the sum of the multiple choice and short answer questions should be 20.
since multiple choice is 'm' and short answer is 's'
then m + s = 20
but theres no option for that
if we take the number of points
points for 1 multiple choice question - 1
then points for m number of multiple choice questions = 1 * m = m
points for 1 short answer - 3
then points for s number of short answer question = 3 * s = 3s
then total number of points = m + 3s
and the total number of points = 50
therefore
m + 3s = 50
this is the correct answer C.

3 0

2 years ago

Read 2 more answers

A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salari

guajiro [1.7K]

Answer:

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

$F_{critical} = 1.8608$

$F = 2.9085$

The decision rule is

Reject the null hypothesis

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 30$

The sample variance for elementary school is $s^2_1 = 8324$

The second sample size is $n_2 = 30$

The sample variance for the secondary school is $s^2_2 = 2862$

The significance level is $\alpha = 0.05$

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

Generally from the F statistics table the critical value of $\alpha = 0.05$ at first and second degree of freedom $df_1 = n_1 - 1 = 30 - 1 = 29$ and $df_2 = n_2 - 1 = 30 - 1 = 29$ is