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3 years ago

What is the rate and unit rate of 40 meters in 16 seconds

Mathematics

2 answers:

Stels [109]3 years ago

6 0

40 meters /16 seconds = 2.5 meters per second

16 seconds /40 meters = 0.4 second per meter

mamaluj [8]3 years ago

6 0

$It's\ speed:v=\frac{s}{t}\\\\s-distance\\t-times\\\\\frac{40m}{16s}=\frac{5}{2}\ m/s=2.5\ m/s$

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"Suppose that you are a city planner who obtains a sample of 20 randomly selected members of a mid-sized town in order to determ

frosja888 [35]

Answer: 2.093

Step-by-step explanation:

As per give , we have

Sample size : n= 20

Degree of freedom : df= n-1=19

Significance level : $\alpha: 1-0.95=0.05$

Since , the sample size is small (n<30) so we use t-test.

For confidence interval , we find two-tailed test value.

Using students's t-critical value table,

Critical t-value : $t_{\alpha/2, df}=t_{0.025,19}=2.093$

Thus, the critical value for the 95% confidence interval = 2.093

4 0

3 years ago

84 2/3% to a fraction in lowest terms

RoseWind [281]

The evaluation of 84 2/3% to a fraction in its lowest term is $\mathbf{ \dfrac{127}{150} }$

<h3>What is a fraction?</h3>

Fractions are sections or parts of a whole. They are divided into two parts, the numerator, and the denominator.

From the given information, we are to convert a mixed fraction into its lowest terms. By doing that, we are to convert it to an improper fraction.

$\mathbf{= 84 \dfrac{2}{3}\%}$

$\mathbf{= \dfrac{(84 \times 3)+2}{3} \%}$

$\mathbf{= \dfrac{254}{3} \%}$

$\mathbf{= \dfrac{254}{3} \times \dfrac{1}{100}}$

$\mathbf{= \dfrac{254}{300} }$

Divide both the numerator and denominator by (2)

$\mathbf{= \dfrac{127}{150} }$

Learn more about fractions here:

brainly.com/question/78672

#SPJ1

3 0

1 year ago

What is the simplified value of the exponential expression 64 1/4

katrin [286]

$\bf a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} 
\qquad \qquad
\sqrt[ m]{a^ n}\implies a^{\frac{ n}{ m}}\\\\
-------------------------------\\\\
64^{\frac{1}{4}}\qquad \boxed{64=2^6}\qquad (2^6)^{\frac{1}{4}}\implies 2^{6\cdot \frac{1}{4}}\implies 2^{\frac{6}{4}}\implies 2^{\frac{3}{2}}
\\\\\\
\sqrt[2]{2^3}\implies \sqrt{2^{2+1}}\implies \sqrt{2^2\cdot 2^1}\implies 2\sqrt{2}$

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3 years ago

James and Kelly have $10 to spend at a grocery store. If they get 3 avocados

strojnjashka [21]

Its gonna be a dollar mate

3 0

3 years ago

the u.s department of agriculture reported that 57 out of every 100 milk drinkers drink skim milk. if a storeowner orders 24 gal

S_A_V [24]

STEP 1:
Find percentage. 57 out of 100 is the percentage to multiply by.

57/100= 0.57 (= 57%)

STEP 2:
Multiply percentage by the total gallons ordered (24).

=24 gallons * 0.57
=13.68 gallons

ALTERNATIVE METHOD (use which works best for you)

Set up a proportion. 57 to 100 is x out of 24 gallons.

x= number skim gallons to order

57/100= x/24
cross multiply
(57*24)= (100*x)
1368= 100x
divide both sides by 100
13.68 gallons= x

ANSWER: Since you cannot order a partial gallon of milk, round up to 14 whole gallons

Hope this helps! :)

4 0

3 years ago