Write this ratio as a fraction in lowest terms.<br> 80 minutes to 30 minutes

Determine whether the value is from a discrete or continuous data set. Number of coins in a jar is 78 number of coins in a jar i

Phoenix [80]

Determine whether the value is from a discrete or continuous data set. Number of coins in a jar is 78 number of coins in a jar is 78

Answer: Number of coins in a jar is from a discrete data set. Because the given variable is countable in a finite amount of time.

If a variable can take on any value between two specified values, it is called a continuous variable; otherwise, it is called a discrete variable.

3 0

3 years ago

WHAT IS DIRECT AND WHICH IS NON DIRECT

Yuliya22 [10]

y = (a number) * x is direct.

Y=3X direct

X=-1

Y=(2/7)X direct

-0.5X=Y direct

Y=2.2X +7

Y=4

4 0

3 years ago

5 and 1/3 × 3 and 3/4

tresset_1 [31]

We'll first off convert the mixed fractions to "improper", and then multiply.

$\bf \stackrel{mixed}{5\frac{1}{3}}\implies \cfrac{5\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{16}{3}}
\\\\\\
\stackrel{mixed}{3\frac{3}{4}}\implies \cfrac{3\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{15}{4}}
\\\\\\
\cfrac{16}{3}\times \cfrac{15}{4}\implies \cfrac{15}{3}\times \cfrac{16}{4}\implies 5\times 4\implies 20$

6 0

3 years ago

A researcher compares two compounds (1 and 2) used in the manufacture of car tires that are designed to reduce braking distances

Maurinko [17]

Answer:

$t=\frac{62-66}{\sqrt{\frac{10.5^2}{86}+\frac{12^2}{86}}}}=-2.326$

$p_v =P(t_{170}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we can reject the null hypothesis, so the mean for the compound 1 is significantly less than the mean for the compound 2.

Step-by-step explanation:

Data given and notation

$\bar X_{1}=62$ represent the mean for the compound 1

$\bar X_{2}=66$ represent the mean for the compound 2

$s_{1}=10.5$ represent the sample standard deviation for compound 1

$s_{2}=12$ represent the sample standard deviation for compund 2

$n_{1}=86$ sample size for the group compound 1

$n_{2}=86$ sample size for the group compound 2

t would represent the statistic (variable of interest)

$\alpha=0.05$ significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the means for compound 1 is less than the mean for compound 2, the system of hypothesis would be:

Null hypothesis: $\mu_{1}\geq\mu_{2}$

Alternative hypothesis: $\mu_{1} < \mu_{2}$

Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}$ (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Determine the critical value(s).

Based on the significance level $\alpha=0.05$ , we can find the critical values with the t distribution with 86+86-2=170 degrees of freedom, we are looking for values that accumulates 0.05 of the left tail of the distirbution.

For this case the value is $t_{\alpha}=-1.653$

Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

$t=\frac{62-66}{\sqrt{\frac{10.5^2}{86}+\frac{12^2}{86}}}}=-2.326$

What is the p-value for this hypothesis test?

Since is a left tailed test the p value would be:

$p_v =P(t_{170}$

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we can reject the null hypothesis, so the mean for the compound 1 is significantly less than the mean for the compound 2.

7 0

3 years ago

What does x = ? need help with the pythagorean theorem

taurus [48]

Answer:

The answer is 9

Step-by-step explanation:

set up the equation as 12^2 + b^2 = 15^2

solve the exponents and you get 144 + b^2 = 225

Then subtract 144 from both sides and get 81

After that just do the square root of 81 and you get 9

pls mark brainliest

6 0

3 years ago

Write this ratio as a fraction in lowest terms. 80 minutes to 30 minutes