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3 years ago

2+24+90____ Next term Please send the answer and way of finding it

Mathematics

2 answers:

weeeeeb [17]3 years ago

8 0

Answer:

116

Step-by-step explanation:

why because 24+90=114 114+2=116

chubhunter [2.5K]3 years ago

8 0

116
First you add 24+90= 114
And then you add the 2 which is equivalent to 116

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A spherical balloon has a 34-in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the

jeka57 [31]

Answer:

a. 20,579.52 cubic inches

b.10,289.76 cubic inches.

c. 13.49 inches

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of a sphere:

Volume of a sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

34 =2r

34/2=r

r= 17 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (17)³

V = 20,579.52 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

20,579.52/2 = 10,289.76 cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=10,289.76

10,289.76= 4/3 π r³

Solving for r

10,289.76/ (4/3 π)= r³

2,456.5 = r³

∛2,456.5 = r

r = 13.49 inches

7 0

3 years ago

Please solve the following sum or difference identity.

xxTIMURxx [149]

Answer:

$sin(A - B) = \frac{4}{5}$

Step-by-step explanation:

Given:

$sin(A) = \frac{24}{25}$

$sin(B) = -\frac{4}{5}$

Need:

$sin(A - B)$

First, let's look at the identities:

sum: $sin(A + B) = sinAcosB + cosAsinB$

difference: $sin(A - B) = sinAcosB - cosAsinB$

The question asks to find sin(A - B); therefore, we need to use the difference identity.

Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.

sin(A) = $\frac{24}{25}$

cos(A) = $\frac{7}{25}$

sin(B) = $-\frac{4}{5}$

cos(B) = $\frac{3}{5}$

Plug these values into the difference identity formula.

$sin(A - B) = sinAcosB - cosAsinB$

$sin(A - B) = (\frac{24}{25})(\frac{3}{5}) - (-\frac{4}{5})(\frac{7}{25})$

Multiply.

$sin(A - B) = (\frac{72}{125}) + (\frac{28}{125})$

Add.

$sin(A - B) = \frac{4}{5}$

This is your answer.

Hope this helps!

6 0

3 years ago

Read 2 more answers

Let’s look at another one of Homer’s rocket launches. It was launched from ground level with an initial velocity of 208 feet per

kozerog [31]

Answer:

Smax = 676 ft

the maximum altitude (height) the rocket will attain during its flight is 676 ft

Step-by-step explanation:

Given;

The height function S(t) of the rocket as;

S(t) = -16t2 + 208t

The maximum altitude Smax, will occur at dS/dt = 0

differentiating S(t);

dS/dt = -32t + 208 = 0

-32t +208 = 0

32t = 208

t = 208/32

t = 6.5 seconds.

The maximum altitude Smax is;

Substituting t = 6.5 s

Smax = -16(6.5)^2 + 208(6.5)

Smax = 676 ft

the maximum altitude (height) the rocket will attain during its flight is 676 ft

8 0

3 years ago

You watch a roulette wheel spin 3 consecutive times and the ball lands on a red slot each time. what is the probability that the

FrozenT [24]

104976/2085136 or simplified: 6561⁄130321

6 0

3 years ago

A labor economist is interested in the proportion of new Ph.D.’s in economics who are female. He contacts a random sample of 100

Murrr4er [49]

Answer:

$\hat p =0.5 -1.28 \sqrt{\frac{0.5}{100}}=0.4359$

Step-by-step explanation:

1) Data given and notation

n=100 represent the random sample taken

X=40 represent the female new Ph.D.’s in economics

$\hat p=\frac{40}{100}=0.4$ estimated proportion of female new Ph.D.’s in economics

$p_o=0.5$ is the value that we want to test

$\alpha=0.1$ represent the significance level

Confidence=90% or 0.90

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim given by: the null hypothesis that the proportion of new Ph.D.’s in economics who are female is at least 0.5, against the alternative hypothesis that it is les.:

Null hypothesis: $p\geq 0.5$

Alternative hypothesis: $p < 0.5$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

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

$z=\frac{0.4 -0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}=-2$

4) Critical value

For this case we can find the critical value with the normal standard distribution we need a value that accumulates 0.1 of the area on the left tail. And we can find it with the following excel code :"=NORM.INV(0.1;0;1)". And the critical value owuld be $z_{\alpha/2}=-1.28$ .

Now in order to find the critical value in terms of p we know this:

$z = \frac{\hat p -p_0}{\sqrt{\frac{p_0 (1-p_0)}{n}}}$

and replacing the values that we got :

$-1.28 = \frac{\hat p -0.5}{\sqrt{\frac{0.5 (1-0.5)}{100}}}$

And solving for $\hat p$ we got:

$\hat p =0.5 -1.28 \sqrt{\frac{0.5}{100}}=0.4359$

6 0

3 years ago